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authorJoursoir <chat@joursoir.net>2021-04-10 17:29:02 +0000
committerJoursoir <chat@joursoir.net>2021-04-10 17:29:02 +0000
commita8b3118e8305fd1c668ea25e07157b625c9747ff (patch)
tree69aeec3c40e123443675da381774ef656a2c86e0 /src/include/glm/gtx
parent887314d01046ed2c00db3eb7b4b227f070501aa1 (diff)
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add glm headers
Diffstat (limited to 'src/include/glm/gtx')
-rw-r--r--src/include/glm/gtx/associated_min_max.hpp207
-rw-r--r--src/include/glm/gtx/associated_min_max.inl354
-rw-r--r--src/include/glm/gtx/bit.hpp98
-rw-r--r--src/include/glm/gtx/bit.inl92
-rw-r--r--src/include/glm/gtx/closest_point.hpp49
-rw-r--r--src/include/glm/gtx/closest_point.inl45
-rw-r--r--src/include/glm/gtx/color_encoding.hpp54
-rw-r--r--src/include/glm/gtx/color_encoding.inl45
-rw-r--r--src/include/glm/gtx/color_space.hpp72
-rw-r--r--src/include/glm/gtx/color_space.inl141
-rw-r--r--src/include/glm/gtx/color_space_YCoCg.hpp60
-rw-r--r--src/include/glm/gtx/color_space_YCoCg.inl107
-rw-r--r--src/include/glm/gtx/common.hpp76
-rw-r--r--src/include/glm/gtx/common.inl125
-rw-r--r--src/include/glm/gtx/compatibility.hpp133
-rw-r--r--src/include/glm/gtx/compatibility.inl62
-rw-r--r--src/include/glm/gtx/component_wise.hpp69
-rw-r--r--src/include/glm/gtx/component_wise.inl127
-rw-r--r--src/include/glm/gtx/dual_quaternion.hpp274
-rw-r--r--src/include/glm/gtx/dual_quaternion.inl352
-rw-r--r--src/include/glm/gtx/easing.hpp219
-rw-r--r--src/include/glm/gtx/easing.inl436
-rw-r--r--src/include/glm/gtx/euler_angles.hpp335
-rw-r--r--src/include/glm/gtx/euler_angles.inl899
-rw-r--r--src/include/glm/gtx/extend.hpp42
-rw-r--r--src/include/glm/gtx/extend.inl48
-rw-r--r--src/include/glm/gtx/extended_min_max.hpp137
-rw-r--r--src/include/glm/gtx/extended_min_max.inl138
-rw-r--r--src/include/glm/gtx/exterior_product.hpp45
-rw-r--r--src/include/glm/gtx/exterior_product.inl26
-rw-r--r--src/include/glm/gtx/fast_exponential.hpp95
-rw-r--r--src/include/glm/gtx/fast_exponential.inl136
-rw-r--r--src/include/glm/gtx/fast_square_root.hpp92
-rw-r--r--src/include/glm/gtx/fast_square_root.inl75
-rw-r--r--src/include/glm/gtx/fast_trigonometry.hpp79
-rw-r--r--src/include/glm/gtx/fast_trigonometry.inl142
-rw-r--r--src/include/glm/gtx/float_notmalize.inl13
-rw-r--r--src/include/glm/gtx/functions.hpp56
-rw-r--r--src/include/glm/gtx/functions.inl30
-rw-r--r--src/include/glm/gtx/gradient_paint.hpp53
-rw-r--r--src/include/glm/gtx/gradient_paint.inl36
-rw-r--r--src/include/glm/gtx/handed_coordinate_space.hpp50
-rw-r--r--src/include/glm/gtx/handed_coordinate_space.inl26
-rw-r--r--src/include/glm/gtx/hash.hpp142
-rw-r--r--src/include/glm/gtx/hash.inl184
-rw-r--r--src/include/glm/gtx/integer.hpp76
-rw-r--r--src/include/glm/gtx/integer.inl185
-rw-r--r--src/include/glm/gtx/intersect.hpp92
-rw-r--r--src/include/glm/gtx/intersect.inl200
-rw-r--r--src/include/glm/gtx/io.hpp201
-rw-r--r--src/include/glm/gtx/io.inl440
-rw-r--r--src/include/glm/gtx/log_base.hpp48
-rw-r--r--src/include/glm/gtx/log_base.inl16
-rw-r--r--src/include/glm/gtx/matrix_cross_product.hpp47
-rw-r--r--src/include/glm/gtx/matrix_cross_product.inl37
-rw-r--r--src/include/glm/gtx/matrix_decompose.hpp46
-rw-r--r--src/include/glm/gtx/matrix_decompose.inl186
-rw-r--r--src/include/glm/gtx/matrix_factorisation.hpp69
-rw-r--r--src/include/glm/gtx/matrix_factorisation.inl84
-rw-r--r--src/include/glm/gtx/matrix_interpolation.hpp60
-rw-r--r--src/include/glm/gtx/matrix_interpolation.inl129
-rw-r--r--src/include/glm/gtx/matrix_major_storage.hpp119
-rw-r--r--src/include/glm/gtx/matrix_major_storage.inl166
-rw-r--r--src/include/glm/gtx/matrix_operation.hpp103
-rw-r--r--src/include/glm/gtx/matrix_operation.inl176
-rw-r--r--src/include/glm/gtx/matrix_query.hpp77
-rw-r--r--src/include/glm/gtx/matrix_query.inl113
-rw-r--r--src/include/glm/gtx/matrix_transform_2d.hpp81
-rw-r--r--src/include/glm/gtx/matrix_transform_2d.inl68
-rw-r--r--src/include/glm/gtx/mixed_product.hpp41
-rw-r--r--src/include/glm/gtx/mixed_product.inl15
-rw-r--r--src/include/glm/gtx/norm.hpp88
-rw-r--r--src/include/glm/gtx/norm.inl95
-rw-r--r--src/include/glm/gtx/normal.hpp41
-rw-r--r--src/include/glm/gtx/normal.inl15
-rw-r--r--src/include/glm/gtx/normalize_dot.hpp49
-rw-r--r--src/include/glm/gtx/normalize_dot.inl16
-rw-r--r--src/include/glm/gtx/number_precision.hpp61
-rw-r--r--src/include/glm/gtx/number_precision.inl6
-rw-r--r--src/include/glm/gtx/optimum_pow.hpp54
-rw-r--r--src/include/glm/gtx/optimum_pow.inl22
-rw-r--r--src/include/glm/gtx/orthonormalize.hpp49
-rw-r--r--src/include/glm/gtx/orthonormalize.inl29
-rw-r--r--src/include/glm/gtx/perpendicular.hpp41
-rw-r--r--src/include/glm/gtx/perpendicular.inl10
-rw-r--r--src/include/glm/gtx/polar_coordinates.hpp48
-rw-r--r--src/include/glm/gtx/polar_coordinates.inl36
-rw-r--r--src/include/glm/gtx/projection.hpp43
-rw-r--r--src/include/glm/gtx/projection.inl10
-rw-r--r--src/include/glm/gtx/quaternion.hpp174
-rw-r--r--src/include/glm/gtx/quaternion.inl159
-rw-r--r--src/include/glm/gtx/range.hpp98
-rw-r--r--src/include/glm/gtx/raw_data.hpp51
-rw-r--r--src/include/glm/gtx/raw_data.inl2
-rw-r--r--src/include/glm/gtx/rotate_normalized_axis.hpp68
-rw-r--r--src/include/glm/gtx/rotate_normalized_axis.inl58
-rw-r--r--src/include/glm/gtx/rotate_vector.hpp123
-rw-r--r--src/include/glm/gtx/rotate_vector.inl187
-rw-r--r--src/include/glm/gtx/scalar_multiplication.hpp75
-rw-r--r--src/include/glm/gtx/scalar_relational.hpp36
-rw-r--r--src/include/glm/gtx/scalar_relational.inl88
-rw-r--r--src/include/glm/gtx/spline.hpp65
-rw-r--r--src/include/glm/gtx/spline.inl60
-rw-r--r--src/include/glm/gtx/std_based_type.hpp68
-rw-r--r--src/include/glm/gtx/std_based_type.inl6
-rw-r--r--src/include/glm/gtx/string_cast.hpp52
-rw-r--r--src/include/glm/gtx/string_cast.inl492
-rw-r--r--src/include/glm/gtx/texture.hpp46
-rw-r--r--src/include/glm/gtx/texture.inl17
-rw-r--r--src/include/glm/gtx/transform.hpp60
-rw-r--r--src/include/glm/gtx/transform.inl23
-rw-r--r--src/include/glm/gtx/transform2.hpp89
-rw-r--r--src/include/glm/gtx/transform2.inl125
-rw-r--r--src/include/glm/gtx/type_aligned.hpp982
-rw-r--r--src/include/glm/gtx/type_aligned.inl6
-rw-r--r--src/include/glm/gtx/type_trait.hpp85
-rw-r--r--src/include/glm/gtx/type_trait.inl61
-rw-r--r--src/include/glm/gtx/vec_swizzle.hpp2782
-rw-r--r--src/include/glm/gtx/vector_angle.hpp57
-rw-r--r--src/include/glm/gtx/vector_angle.inl44
-rw-r--r--src/include/glm/gtx/vector_query.hpp66
-rw-r--r--src/include/glm/gtx/vector_query.inl154
-rw-r--r--src/include/glm/gtx/wrap.hpp37
-rw-r--r--src/include/glm/gtx/wrap.inl6
124 files changed, 16166 insertions, 0 deletions
diff --git a/src/include/glm/gtx/associated_min_max.hpp b/src/include/glm/gtx/associated_min_max.hpp
new file mode 100644
index 0000000..d54af4b
--- /dev/null
+++ b/src/include/glm/gtx/associated_min_max.hpp
@@ -0,0 +1,207 @@
+/// @ref gtx_associated_min_max
+/// @file glm/gtx/associated_min_max.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_associated_min_max GLM_GTX_associated_min_max
+/// @ingroup gtx
+///
+/// Include <glm/gtx/associated_min_max.hpp> to use the features of this extension.
+///
+/// @brief Min and max functions that return associated values not the compared onces.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_associated_min_max is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_associated_min_max extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_associated_min_max
+ /// @{
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL U associatedMin(T x, U a, T y, U b);
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<2, U, Q> associatedMin(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b);
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMin(
+ T x, const vec<L, U, Q>& a,
+ T y, const vec<L, U, Q>& b);
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMin(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b);
+
+ /// Minimum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMin(
+ T x, U a,
+ T y, U b,
+ T z, U c);
+
+ /// Minimum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMin(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMin(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMin(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c,
+ vec<L, T, Q> const& w, vec<L, U, Q> const& d);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMin(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b,
+ T z, vec<L, U, Q> const& c,
+ T w, vec<L, U, Q> const& d);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMin(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b,
+ vec<L, T, Q> const& z, U c,
+ vec<L, T, Q> const& w, U d);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMax(T x, U a, T y, U b);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<2, U, Q> associatedMax(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> associatedMax(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMax(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMax(
+ T x, U a,
+ T y, U b,
+ T z, U c);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMax(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> associatedMax(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b,
+ T z, vec<L, U, Q> const& c);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMax(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b,
+ vec<L, T, Q> const& z, U c);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMax(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMax(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c,
+ vec<L, T, Q> const& w, vec<L, U, Q> const& d);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMax(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b,
+ T z, vec<L, U, Q> const& c,
+ T w, vec<L, U, Q> const& d);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<length_t L, typename T, typename U, qualifier Q>
+ GLM_FUNC_DECL vec<L, U, Q> associatedMax(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b,
+ vec<L, T, Q> const& z, U c,
+ vec<L, T, Q> const& w, U d);
+
+ /// @}
+} //namespace glm
+
+#include "associated_min_max.inl"
diff --git a/src/include/glm/gtx/associated_min_max.inl b/src/include/glm/gtx/associated_min_max.inl
new file mode 100644
index 0000000..83f271a
--- /dev/null
+++ b/src/include/glm/gtx/associated_min_max.inl
@@ -0,0 +1,354 @@
+/// @ref gtx_associated_min_max
+
+namespace glm{
+
+// Min comparison between 2 variables
+template<typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER U associatedMin(T x, U a, T y, U b)
+{
+ return x < y ? a : b;
+}
+
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<2, U, Q> associatedMin
+(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] < y[i] ? a[i] : b[i];
+ return Result;
+}
+
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMin
+(
+ T x, const vec<L, U, Q>& a,
+ T y, const vec<L, U, Q>& b
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x < y ? a[i] : b[i];
+ return Result;
+}
+
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMin
+(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] < y[i] ? a : b;
+ return Result;
+}
+
+// Min comparison between 3 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMin
+(
+ T x, U a,
+ T y, U b,
+ T z, U c
+)
+{
+ U Result = x < y ? (x < z ? a : c) : (y < z ? b : c);
+ return Result;
+}
+
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMin
+(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] < y[i] ? (x[i] < z[i] ? a[i] : c[i]) : (y[i] < z[i] ? b[i] : c[i]);
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMin
+(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d
+)
+{
+ T Test1 = min(x, y);
+ T Test2 = min(z, w);
+ U Result1 = x < y ? a : b;
+ U Result2 = z < w ? c : d;
+ U Result = Test1 < Test2 ? Result1 : Result2;
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMin
+(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c,
+ vec<L, T, Q> const& w, vec<L, U, Q> const& d
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = min(x[i], y[i]);
+ T Test2 = min(z[i], w[i]);
+ U Result1 = x[i] < y[i] ? a[i] : b[i];
+ U Result2 = z[i] < w[i] ? c[i] : d[i];
+ Result[i] = Test1 < Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMin
+(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b,
+ T z, vec<L, U, Q> const& c,
+ T w, vec<L, U, Q> const& d
+)
+{
+ T Test1 = min(x, y);
+ T Test2 = min(z, w);
+
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ U Result1 = x < y ? a[i] : b[i];
+ U Result2 = z < w ? c[i] : d[i];
+ Result[i] = Test1 < Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMin
+(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b,
+ vec<L, T, Q> const& z, U c,
+ vec<L, T, Q> const& w, U d
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = min(x[i], y[i]);
+ T Test2 = min(z[i], w[i]);
+ U Result1 = x[i] < y[i] ? a : b;
+ U Result2 = z[i] < w[i] ? c : d;
+ Result[i] = Test1 < Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Max comparison between 2 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMax(T x, U a, T y, U b)
+{
+ return x > y ? a : b;
+}
+
+// Max comparison between 2 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<2, U, Q> associatedMax
+(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? a[i] : b[i];
+ return Result;
+}
+
+// Max comparison between 2 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, T, Q> associatedMax
+(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x > y ? a[i] : b[i];
+ return Result;
+}
+
+// Max comparison between 2 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMax
+(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b
+)
+{
+ vec<L, T, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? a : b;
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMax
+(
+ T x, U a,
+ T y, U b,
+ T z, U c
+)
+{
+ U Result = x > y ? (x > z ? a : c) : (y > z ? b : c);
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMax
+(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? (x[i] > z[i] ? a[i] : c[i]) : (y[i] > z[i] ? b[i] : c[i]);
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, T, Q> associatedMax
+(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b,
+ T z, vec<L, U, Q> const& c
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x > y ? (x > z ? a[i] : c[i]) : (y > z ? b[i] : c[i]);
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMax
+(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b,
+ vec<L, T, Q> const& z, U c
+)
+{
+ vec<L, T, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? (x[i] > z[i] ? a : c) : (y[i] > z[i] ? b : c);
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMax
+(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d
+)
+{
+ T Test1 = max(x, y);
+ T Test2 = max(z, w);
+ U Result1 = x > y ? a : b;
+ U Result2 = z > w ? c : d;
+ U Result = Test1 > Test2 ? Result1 : Result2;
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMax
+(
+ vec<L, T, Q> const& x, vec<L, U, Q> const& a,
+ vec<L, T, Q> const& y, vec<L, U, Q> const& b,
+ vec<L, T, Q> const& z, vec<L, U, Q> const& c,
+ vec<L, T, Q> const& w, vec<L, U, Q> const& d
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = max(x[i], y[i]);
+ T Test2 = max(z[i], w[i]);
+ U Result1 = x[i] > y[i] ? a[i] : b[i];
+ U Result2 = z[i] > w[i] ? c[i] : d[i];
+ Result[i] = Test1 > Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMax
+(
+ T x, vec<L, U, Q> const& a,
+ T y, vec<L, U, Q> const& b,
+ T z, vec<L, U, Q> const& c,
+ T w, vec<L, U, Q> const& d
+)
+{
+ T Test1 = max(x, y);
+ T Test2 = max(z, w);
+
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ U Result1 = x > y ? a[i] : b[i];
+ U Result2 = z > w ? c[i] : d[i];
+ Result[i] = Test1 > Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<length_t L, typename T, typename U, qualifier Q>
+GLM_FUNC_QUALIFIER vec<L, U, Q> associatedMax
+(
+ vec<L, T, Q> const& x, U a,
+ vec<L, T, Q> const& y, U b,
+ vec<L, T, Q> const& z, U c,
+ vec<L, T, Q> const& w, U d
+)
+{
+ vec<L, U, Q> Result;
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = max(x[i], y[i]);
+ T Test2 = max(z[i], w[i]);
+ U Result1 = x[i] > y[i] ? a : b;
+ U Result2 = z[i] > w[i] ? c : d;
+ Result[i] = Test1 > Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+}//namespace glm
diff --git a/src/include/glm/gtx/bit.hpp b/src/include/glm/gtx/bit.hpp
new file mode 100644
index 0000000..7171a07
--- /dev/null
+++ b/src/include/glm/gtx/bit.hpp
@@ -0,0 +1,98 @@
+/// @ref gtx_bit
+/// @file glm/gtx/bit.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_bit GLM_GTX_bit
+/// @ingroup gtx
+///
+/// Include <glm/gtx/bit.hpp> to use the features of this extension.
+///
+/// Allow to perform bit operations on integer values
+
+#pragma once
+
+// Dependencies
+#include "../gtc/bitfield.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_bit is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_bit extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_bit
+ /// @{
+
+ /// @see gtx_bit
+ template<typename genIUType>
+ GLM_FUNC_DECL genIUType highestBitValue(genIUType Value);
+
+ /// @see gtx_bit
+ template<typename genIUType>
+ GLM_FUNC_DECL genIUType lowestBitValue(genIUType Value);
+
+ /// Find the highest bit set to 1 in a integer variable and return its value.
+ ///
+ /// @see gtx_bit
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> highestBitValue(vec<L, T, Q> const& value);
+
+ /// Return the power of two number which value is just higher the input value.
+ /// Deprecated, use ceilPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template<typename genIUType>
+ GLM_DEPRECATED GLM_FUNC_DECL genIUType powerOfTwoAbove(genIUType Value);
+
+ /// Return the power of two number which value is just higher the input value.
+ /// Deprecated, use ceilPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template<length_t L, typename T, qualifier Q>
+ GLM_DEPRECATED GLM_FUNC_DECL vec<L, T, Q> powerOfTwoAbove(vec<L, T, Q> const& value);
+
+ /// Return the power of two number which value is just lower the input value.
+ /// Deprecated, use floorPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template<typename genIUType>
+ GLM_DEPRECATED GLM_FUNC_DECL genIUType powerOfTwoBelow(genIUType Value);
+
+ /// Return the power of two number which value is just lower the input value.
+ /// Deprecated, use floorPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template<length_t L, typename T, qualifier Q>
+ GLM_DEPRECATED GLM_FUNC_DECL vec<L, T, Q> powerOfTwoBelow(vec<L, T, Q> const& value);
+
+ /// Return the power of two number which value is the closet to the input value.
+ /// Deprecated, use roundPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template<typename genIUType>
+ GLM_DEPRECATED GLM_FUNC_DECL genIUType powerOfTwoNearest(genIUType Value);
+
+ /// Return the power of two number which value is the closet to the input value.
+ /// Deprecated, use roundPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template<length_t L, typename T, qualifier Q>
+ GLM_DEPRECATED GLM_FUNC_DECL vec<L, T, Q> powerOfTwoNearest(vec<L, T, Q> const& value);
+
+ /// @}
+} //namespace glm
+
+
+#include "bit.inl"
+
diff --git a/src/include/glm/gtx/bit.inl b/src/include/glm/gtx/bit.inl
new file mode 100644
index 0000000..ef9603c
--- /dev/null
+++ b/src/include/glm/gtx/bit.inl
@@ -0,0 +1,92 @@
+/// @ref gtx_bit
+
+namespace glm
+{
+ ///////////////////
+ // highestBitValue
+
+ template<typename genIUType>
+ GLM_FUNC_QUALIFIER genIUType highestBitValue(genIUType Value)
+ {
+ genIUType tmp = Value;
+ genIUType result = genIUType(0);
+ while(tmp)
+ {
+ result = (tmp & (~tmp + 1)); // grab lowest bit
+ tmp &= ~result; // clear lowest bit
+ }
+ return result;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> highestBitValue(vec<L, T, Q> const& v)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(highestBitValue, v);
+ }
+
+ ///////////////////
+ // lowestBitValue
+
+ template<typename genIUType>
+ GLM_FUNC_QUALIFIER genIUType lowestBitValue(genIUType Value)
+ {
+ return (Value & (~Value + 1));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> lowestBitValue(vec<L, T, Q> const& v)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(lowestBitValue, v);
+ }
+
+ ///////////////////
+ // powerOfTwoAbove
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType powerOfTwoAbove(genType value)
+ {
+ return isPowerOfTwo(value) ? value : highestBitValue(value) << 1;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> powerOfTwoAbove(vec<L, T, Q> const& v)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(powerOfTwoAbove, v);
+ }
+
+ ///////////////////
+ // powerOfTwoBelow
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType powerOfTwoBelow(genType value)
+ {
+ return isPowerOfTwo(value) ? value : highestBitValue(value);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> powerOfTwoBelow(vec<L, T, Q> const& v)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(powerOfTwoBelow, v);
+ }
+
+ /////////////////////
+ // powerOfTwoNearest
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType powerOfTwoNearest(genType value)
+ {
+ if(isPowerOfTwo(value))
+ return value;
+
+ genType const prev = highestBitValue(value);
+ genType const next = prev << 1;
+ return (next - value) < (value - prev) ? next : prev;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> powerOfTwoNearest(vec<L, T, Q> const& v)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(powerOfTwoNearest, v);
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/closest_point.hpp b/src/include/glm/gtx/closest_point.hpp
new file mode 100644
index 0000000..335f7e4
--- /dev/null
+++ b/src/include/glm/gtx/closest_point.hpp
@@ -0,0 +1,49 @@
+/// @ref gtx_closest_point
+/// @file glm/gtx/closest_point.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_closest_point GLM_GTX_closest_point
+/// @ingroup gtx
+///
+/// Include <glm/gtx/closest_point.hpp> to use the features of this extension.
+///
+/// Find the point on a straight line which is the closet of a point.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_closest_point is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_closest_point extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_closest_point
+ /// @{
+
+ /// Find the point on a straight line which is the closet of a point.
+ /// @see gtx_closest_point
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> closestPointOnLine(
+ vec<3, T, Q> const& point,
+ vec<3, T, Q> const& a,
+ vec<3, T, Q> const& b);
+
+ /// 2d lines work as well
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<2, T, Q> closestPointOnLine(
+ vec<2, T, Q> const& point,
+ vec<2, T, Q> const& a,
+ vec<2, T, Q> const& b);
+
+ /// @}
+}// namespace glm
+
+#include "closest_point.inl"
diff --git a/src/include/glm/gtx/closest_point.inl b/src/include/glm/gtx/closest_point.inl
new file mode 100644
index 0000000..4c17506
--- /dev/null
+++ b/src/include/glm/gtx/closest_point.inl
@@ -0,0 +1,45 @@
+/// @ref gtx_closest_point
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> closestPointOnLine
+ (
+ vec<3, T, Q> const& point,
+ vec<3, T, Q> const& a,
+ vec<3, T, Q> const& b
+ )
+ {
+ T LineLength = distance(a, b);
+ vec<3, T, Q> Vector = point - a;
+ vec<3, T, Q> LineDirection = (b - a) / LineLength;
+
+ // Project Vector to LineDirection to get the distance of point from a
+ T Distance = dot(Vector, LineDirection);
+
+ if(Distance <= T(0)) return a;
+ if(Distance >= LineLength) return b;
+ return a + LineDirection * Distance;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<2, T, Q> closestPointOnLine
+ (
+ vec<2, T, Q> const& point,
+ vec<2, T, Q> const& a,
+ vec<2, T, Q> const& b
+ )
+ {
+ T LineLength = distance(a, b);
+ vec<2, T, Q> Vector = point - a;
+ vec<2, T, Q> LineDirection = (b - a) / LineLength;
+
+ // Project Vector to LineDirection to get the distance of point from a
+ T Distance = dot(Vector, LineDirection);
+
+ if(Distance <= T(0)) return a;
+ if(Distance >= LineLength) return b;
+ return a + LineDirection * Distance;
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/color_encoding.hpp b/src/include/glm/gtx/color_encoding.hpp
new file mode 100644
index 0000000..aa79dd2
--- /dev/null
+++ b/src/include/glm/gtx/color_encoding.hpp
@@ -0,0 +1,54 @@
+/// @ref gtx_color_encoding
+/// @file glm/gtx/color_encoding.hpp
+///
+/// @see core (dependence)
+/// @see gtx_color_encoding (dependence)
+///
+/// @defgroup gtx_color_encoding GLM_GTX_color_encoding
+/// @ingroup gtx
+///
+/// Include <glm/gtx/color_encoding.hpp> to use the features of this extension.
+///
+/// @brief Allow to perform bit operations on integer values
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+#include "../detail/qualifier.hpp"
+#include "../vec3.hpp"
+#include <limits>
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTC_color_encoding is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTC_color_encoding extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_color_encoding
+ /// @{
+
+ /// Convert a linear sRGB color to D65 YUV.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> convertLinearSRGBToD65XYZ(vec<3, T, Q> const& ColorLinearSRGB);
+
+ /// Convert a linear sRGB color to D50 YUV.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> convertLinearSRGBToD50XYZ(vec<3, T, Q> const& ColorLinearSRGB);
+
+ /// Convert a D65 YUV color to linear sRGB.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> convertD65XYZToLinearSRGB(vec<3, T, Q> const& ColorD65XYZ);
+
+ /// Convert a D65 YUV color to D50 YUV.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> convertD65XYZToD50XYZ(vec<3, T, Q> const& ColorD65XYZ);
+
+ /// @}
+} //namespace glm
+
+#include "color_encoding.inl"
diff --git a/src/include/glm/gtx/color_encoding.inl b/src/include/glm/gtx/color_encoding.inl
new file mode 100644
index 0000000..dc99664
--- /dev/null
+++ b/src/include/glm/gtx/color_encoding.inl
@@ -0,0 +1,45 @@
+/// @ref gtx_color_encoding
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> convertLinearSRGBToD65XYZ(vec<3, T, Q> const& ColorLinearSRGB)
+ {
+ vec<3, T, Q> const M(0.490f, 0.17697f, 0.2f);
+ vec<3, T, Q> const N(0.31f, 0.8124f, 0.01063f);
+ vec<3, T, Q> const O(0.490f, 0.01f, 0.99f);
+
+ return (M * ColorLinearSRGB + N * ColorLinearSRGB + O * ColorLinearSRGB) * static_cast<T>(5.650675255693055f);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> convertLinearSRGBToD50XYZ(vec<3, T, Q> const& ColorLinearSRGB)
+ {
+ vec<3, T, Q> const M(0.436030342570117f, 0.222438466210245f, 0.013897440074263f);
+ vec<3, T, Q> const N(0.385101860087134f, 0.716942745571917f, 0.097076381494207f);
+ vec<3, T, Q> const O(0.143067806654203f, 0.060618777416563f, 0.713926257896652f);
+
+ return M * ColorLinearSRGB + N * ColorLinearSRGB + O * ColorLinearSRGB;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> convertD65XYZToLinearSRGB(vec<3, T, Q> const& ColorD65XYZ)
+ {
+ vec<3, T, Q> const M(0.41847f, -0.091169f, 0.0009209f);
+ vec<3, T, Q> const N(-0.15866f, 0.25243f, 0.015708f);
+ vec<3, T, Q> const O(0.0009209f, -0.0025498f, 0.1786f);
+
+ return M * ColorD65XYZ + N * ColorD65XYZ + O * ColorD65XYZ;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> convertD65XYZToD50XYZ(vec<3, T, Q> const& ColorD65XYZ)
+ {
+ vec<3, T, Q> const M(+1.047844353856414f, +0.029549007606644f, -0.009250984365223f);
+ vec<3, T, Q> const N(+0.022898981050086f, +0.990508028941971f, +0.015072338237051f);
+ vec<3, T, Q> const O(-0.050206647741605f, -0.017074711360960f, +0.751717835079977f);
+
+ return M * ColorD65XYZ + N * ColorD65XYZ + O * ColorD65XYZ;
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/color_space.hpp b/src/include/glm/gtx/color_space.hpp
new file mode 100644
index 0000000..16b06e1
--- /dev/null
+++ b/src/include/glm/gtx/color_space.hpp
@@ -0,0 +1,72 @@
+/// @ref gtx_color_space
+/// @file glm/gtx/color_space.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_color_space GLM_GTX_color_space
+/// @ingroup gtx
+///
+/// Include <glm/gtx/color_space.hpp> to use the features of this extension.
+///
+/// Related to RGB to HSV conversions and operations.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_color_space is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_color_space extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_color_space
+ /// @{
+
+ /// Converts a color from HSV color space to its color in RGB color space.
+ /// @see gtx_color_space
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rgbColor(
+ vec<3, T, Q> const& hsvValue);
+
+ /// Converts a color from RGB color space to its color in HSV color space.
+ /// @see gtx_color_space
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> hsvColor(
+ vec<3, T, Q> const& rgbValue);
+
+ /// Build a saturation matrix.
+ /// @see gtx_color_space
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> saturation(
+ T const s);
+
+ /// Modify the saturation of a color.
+ /// @see gtx_color_space
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> saturation(
+ T const s,
+ vec<3, T, Q> const& color);
+
+ /// Modify the saturation of a color.
+ /// @see gtx_color_space
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> saturation(
+ T const s,
+ vec<4, T, Q> const& color);
+
+ /// Compute color luminosity associating ratios (0.33, 0.59, 0.11) to RGB canals.
+ /// @see gtx_color_space
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T luminosity(
+ vec<3, T, Q> const& color);
+
+ /// @}
+}//namespace glm
+
+#include "color_space.inl"
diff --git a/src/include/glm/gtx/color_space.inl b/src/include/glm/gtx/color_space.inl
new file mode 100644
index 0000000..a6db50e
--- /dev/null
+++ b/src/include/glm/gtx/color_space.inl
@@ -0,0 +1,141 @@
+/// @ref gtx_color_space
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rgbColor(const vec<3, T, Q>& hsvColor)
+ {
+ vec<3, T, Q> hsv = hsvColor;
+ vec<3, T, Q> rgbColor;
+
+ if(hsv.y == static_cast<T>(0))
+ // achromatic (grey)
+ rgbColor = vec<3, T, Q>(hsv.z);
+ else
+ {
+ T sector = floor(hsv.x * (T(1) / T(60)));
+ T frac = (hsv.x * (T(1) / T(60))) - sector;
+ // factorial part of h
+ T o = hsv.z * (T(1) - hsv.y);
+ T p = hsv.z * (T(1) - hsv.y * frac);
+ T q = hsv.z * (T(1) - hsv.y * (T(1) - frac));
+
+ switch(int(sector))
+ {
+ default:
+ case 0:
+ rgbColor.r = hsv.z;
+ rgbColor.g = q;
+ rgbColor.b = o;
+ break;
+ case 1:
+ rgbColor.r = p;
+ rgbColor.g = hsv.z;
+ rgbColor.b = o;
+ break;
+ case 2:
+ rgbColor.r = o;
+ rgbColor.g = hsv.z;
+ rgbColor.b = q;
+ break;
+ case 3:
+ rgbColor.r = o;
+ rgbColor.g = p;
+ rgbColor.b = hsv.z;
+ break;
+ case 4:
+ rgbColor.r = q;
+ rgbColor.g = o;
+ rgbColor.b = hsv.z;
+ break;
+ case 5:
+ rgbColor.r = hsv.z;
+ rgbColor.g = o;
+ rgbColor.b = p;
+ break;
+ }
+ }
+
+ return rgbColor;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> hsvColor(const vec<3, T, Q>& rgbColor)
+ {
+ vec<3, T, Q> hsv = rgbColor;
+ float Min = min(min(rgbColor.r, rgbColor.g), rgbColor.b);
+ float Max = max(max(rgbColor.r, rgbColor.g), rgbColor.b);
+ float Delta = Max - Min;
+
+ hsv.z = Max;
+
+ if(Max != static_cast<T>(0))
+ {
+ hsv.y = Delta / hsv.z;
+ T h = static_cast<T>(0);
+
+ if(rgbColor.r == Max)
+ // between yellow & magenta
+ h = static_cast<T>(0) + T(60) * (rgbColor.g - rgbColor.b) / Delta;
+ else if(rgbColor.g == Max)
+ // between cyan & yellow
+ h = static_cast<T>(120) + T(60) * (rgbColor.b - rgbColor.r) / Delta;
+ else
+ // between magenta & cyan
+ h = static_cast<T>(240) + T(60) * (rgbColor.r - rgbColor.g) / Delta;
+
+ if(h < T(0))
+ hsv.x = h + T(360);
+ else
+ hsv.x = h;
+ }
+ else
+ {
+ // If r = g = b = 0 then s = 0, h is undefined
+ hsv.y = static_cast<T>(0);
+ hsv.x = static_cast<T>(0);
+ }
+
+ return hsv;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> saturation(T const s)
+ {
+ vec<3, T, defaultp> rgbw = vec<3, T, defaultp>(T(0.2126), T(0.7152), T(0.0722));
+
+ vec<3, T, defaultp> const col((T(1) - s) * rgbw);
+
+ mat<4, 4, T, defaultp> result(T(1));
+ result[0][0] = col.x + s;
+ result[0][1] = col.x;
+ result[0][2] = col.x;
+ result[1][0] = col.y;
+ result[1][1] = col.y + s;
+ result[1][2] = col.y;
+ result[2][0] = col.z;
+ result[2][1] = col.z;
+ result[2][2] = col.z + s;
+
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> saturation(const T s, const vec<3, T, Q>& color)
+ {
+ return vec<3, T, Q>(saturation(s) * vec<4, T, Q>(color, T(0)));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> saturation(const T s, const vec<4, T, Q>& color)
+ {
+ return saturation(s) * color;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T luminosity(const vec<3, T, Q>& color)
+ {
+ const vec<3, T, Q> tmp = vec<3, T, Q>(0.33, 0.59, 0.11);
+ return dot(color, tmp);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/color_space_YCoCg.hpp b/src/include/glm/gtx/color_space_YCoCg.hpp
new file mode 100644
index 0000000..3d2e3d4
--- /dev/null
+++ b/src/include/glm/gtx/color_space_YCoCg.hpp
@@ -0,0 +1,60 @@
+/// @ref gtx_color_space_YCoCg
+/// @file glm/gtx/color_space_YCoCg.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_color_space_YCoCg GLM_GTX_color_space_YCoCg
+/// @ingroup gtx
+///
+/// Include <glm/gtx/color_space_YCoCg.hpp> to use the features of this extension.
+///
+/// RGB to YCoCg conversions and operations
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_color_space_YCoCg is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_color_space_YCoCg extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_color_space_YCoCg
+ /// @{
+
+ /// Convert a color from RGB color space to YCoCg color space.
+ /// @see gtx_color_space_YCoCg
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rgb2YCoCg(
+ vec<3, T, Q> const& rgbColor);
+
+ /// Convert a color from YCoCg color space to RGB color space.
+ /// @see gtx_color_space_YCoCg
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> YCoCg2rgb(
+ vec<3, T, Q> const& YCoCgColor);
+
+ /// Convert a color from RGB color space to YCoCgR color space.
+ /// @see "YCoCg-R: A Color Space with RGB Reversibility and Low Dynamic Range"
+ /// @see gtx_color_space_YCoCg
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rgb2YCoCgR(
+ vec<3, T, Q> const& rgbColor);
+
+ /// Convert a color from YCoCgR color space to RGB color space.
+ /// @see "YCoCg-R: A Color Space with RGB Reversibility and Low Dynamic Range"
+ /// @see gtx_color_space_YCoCg
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> YCoCgR2rgb(
+ vec<3, T, Q> const& YCoCgColor);
+
+ /// @}
+}//namespace glm
+
+#include "color_space_YCoCg.inl"
diff --git a/src/include/glm/gtx/color_space_YCoCg.inl b/src/include/glm/gtx/color_space_YCoCg.inl
new file mode 100644
index 0000000..7c410c1
--- /dev/null
+++ b/src/include/glm/gtx/color_space_YCoCg.inl
@@ -0,0 +1,107 @@
+/// @ref gtx_color_space_YCoCg
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rgb2YCoCg
+ (
+ vec<3, T, Q> const& rgbColor
+ )
+ {
+ vec<3, T, Q> result;
+ result.x/*Y */ = rgbColor.r / T(4) + rgbColor.g / T(2) + rgbColor.b / T(4);
+ result.y/*Co*/ = rgbColor.r / T(2) + rgbColor.g * T(0) - rgbColor.b / T(2);
+ result.z/*Cg*/ = - rgbColor.r / T(4) + rgbColor.g / T(2) - rgbColor.b / T(4);
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> YCoCg2rgb
+ (
+ vec<3, T, Q> const& YCoCgColor
+ )
+ {
+ vec<3, T, Q> result;
+ result.r = YCoCgColor.x + YCoCgColor.y - YCoCgColor.z;
+ result.g = YCoCgColor.x + YCoCgColor.z;
+ result.b = YCoCgColor.x - YCoCgColor.y - YCoCgColor.z;
+ return result;
+ }
+
+ template<typename T, qualifier Q, bool isInteger>
+ class compute_YCoCgR {
+ public:
+ static GLM_FUNC_QUALIFIER vec<3, T, Q> rgb2YCoCgR
+ (
+ vec<3, T, Q> const& rgbColor
+ )
+ {
+ vec<3, T, Q> result;
+ result.x/*Y */ = rgbColor.g * static_cast<T>(0.5) + (rgbColor.r + rgbColor.b) * static_cast<T>(0.25);
+ result.y/*Co*/ = rgbColor.r - rgbColor.b;
+ result.z/*Cg*/ = rgbColor.g - (rgbColor.r + rgbColor.b) * static_cast<T>(0.5);
+ return result;
+ }
+
+ static GLM_FUNC_QUALIFIER vec<3, T, Q> YCoCgR2rgb
+ (
+ vec<3, T, Q> const& YCoCgRColor
+ )
+ {
+ vec<3, T, Q> result;
+ T tmp = YCoCgRColor.x - (YCoCgRColor.z * static_cast<T>(0.5));
+ result.g = YCoCgRColor.z + tmp;
+ result.b = tmp - (YCoCgRColor.y * static_cast<T>(0.5));
+ result.r = result.b + YCoCgRColor.y;
+ return result;
+ }
+ };
+
+ template<typename T, qualifier Q>
+ class compute_YCoCgR<T, Q, true> {
+ public:
+ static GLM_FUNC_QUALIFIER vec<3, T, Q> rgb2YCoCgR
+ (
+ vec<3, T, Q> const& rgbColor
+ )
+ {
+ vec<3, T, Q> result;
+ result.y/*Co*/ = rgbColor.r - rgbColor.b;
+ T tmp = rgbColor.b + (result.y >> 1);
+ result.z/*Cg*/ = rgbColor.g - tmp;
+ result.x/*Y */ = tmp + (result.z >> 1);
+ return result;
+ }
+
+ static GLM_FUNC_QUALIFIER vec<3, T, Q> YCoCgR2rgb
+ (
+ vec<3, T, Q> const& YCoCgRColor
+ )
+ {
+ vec<3, T, Q> result;
+ T tmp = YCoCgRColor.x - (YCoCgRColor.z >> 1);
+ result.g = YCoCgRColor.z + tmp;
+ result.b = tmp - (YCoCgRColor.y >> 1);
+ result.r = result.b + YCoCgRColor.y;
+ return result;
+ }
+ };
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rgb2YCoCgR
+ (
+ vec<3, T, Q> const& rgbColor
+ )
+ {
+ return compute_YCoCgR<T, Q, std::numeric_limits<T>::is_integer>::rgb2YCoCgR(rgbColor);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> YCoCgR2rgb
+ (
+ vec<3, T, Q> const& YCoCgRColor
+ )
+ {
+ return compute_YCoCgR<T, Q, std::numeric_limits<T>::is_integer>::YCoCgR2rgb(YCoCgRColor);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/common.hpp b/src/include/glm/gtx/common.hpp
new file mode 100644
index 0000000..da40332
--- /dev/null
+++ b/src/include/glm/gtx/common.hpp
@@ -0,0 +1,76 @@
+/// @ref gtx_common
+/// @file glm/gtx/common.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_common GLM_GTX_common
+/// @ingroup gtx
+///
+/// Include <glm/gtx/common.hpp> to use the features of this extension.
+///
+/// @brief Provide functions to increase the compatibility with Cg and HLSL languages
+
+#pragma once
+
+// Dependencies:
+#include "../vec2.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../gtc/vec1.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_common is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_common extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_common
+ /// @{
+
+ /// Returns true if x is a denormalized number
+ /// Numbers whose absolute value is too small to be represented in the normal format are represented in an alternate, denormalized format.
+ /// This format is less precise but can represent values closer to zero.
+ ///
+ /// @tparam genType Floating-point scalar or vector types.
+ ///
+ /// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
+ /// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+ template<typename genType>
+ GLM_FUNC_DECL typename genType::bool_type isdenormal(genType const& x);
+
+ /// Similar to 'mod' but with a different rounding and integer support.
+ /// Returns 'x - y * trunc(x/y)' instead of 'x - y * floor(x/y)'
+ ///
+ /// @see <a href="http://stackoverflow.com/questions/7610631/glsl-mod-vs-hlsl-fmod">GLSL mod vs HLSL fmod</a>
+ /// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fmod(vec<L, T, Q> const& v);
+
+ /// Returns whether vector components values are within an interval. A open interval excludes its endpoints, and is denoted with square brackets.
+ ///
+ /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
+ /// @tparam T Floating-point or integer scalar types
+ /// @tparam Q Value from qualifier enum
+ ///
+ /// @see ext_vector_relational
+ template <length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, bool, Q> openBounded(vec<L, T, Q> const& Value, vec<L, T, Q> const& Min, vec<L, T, Q> const& Max);
+
+ /// Returns whether vector components values are within an interval. A closed interval includes its endpoints, and is denoted with square brackets.
+ ///
+ /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
+ /// @tparam T Floating-point or integer scalar types
+ /// @tparam Q Value from qualifier enum
+ ///
+ /// @see ext_vector_relational
+ template <length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, bool, Q> closeBounded(vec<L, T, Q> const& Value, vec<L, T, Q> const& Min, vec<L, T, Q> const& Max);
+
+ /// @}
+}//namespace glm
+
+#include "common.inl"
diff --git a/src/include/glm/gtx/common.inl b/src/include/glm/gtx/common.inl
new file mode 100644
index 0000000..a5be4d4
--- /dev/null
+++ b/src/include/glm/gtx/common.inl
@@ -0,0 +1,125 @@
+/// @ref gtx_common
+
+#include <cmath>
+#include "../gtc/epsilon.hpp"
+#include "../gtc/constants.hpp"
+
+namespace glm{
+namespace detail
+{
+ template<length_t L, typename T, qualifier Q, bool isFloat = true>
+ struct compute_fmod
+ {
+ GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& a, vec<L, T, Q> const& b)
+ {
+ return detail::functor2<vec, L, T, Q>::call(std::fmod, a, b);
+ }
+ };
+
+ template<length_t L, typename T, qualifier Q>
+ struct compute_fmod<L, T, Q, false>
+ {
+ GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& a, vec<L, T, Q> const& b)
+ {
+ return a % b;
+ }
+ };
+}//namespace detail
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool isdenormal(T const& x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+# if GLM_HAS_CXX11_STL
+ return std::fpclassify(x) == FP_SUBNORMAL;
+# else
+ return epsilonNotEqual(x, static_cast<T>(0), epsilon<T>()) && std::fabs(x) < std::numeric_limits<T>::min();
+# endif
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER typename vec<1, T, Q>::bool_type isdenormal
+ (
+ vec<1, T, Q> const& x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename vec<1, T, Q>::bool_type(
+ isdenormal(x.x));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER typename vec<2, T, Q>::bool_type isdenormal
+ (
+ vec<2, T, Q> const& x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename vec<2, T, Q>::bool_type(
+ isdenormal(x.x),
+ isdenormal(x.y));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER typename vec<3, T, Q>::bool_type isdenormal
+ (
+ vec<3, T, Q> const& x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename vec<3, T, Q>::bool_type(
+ isdenormal(x.x),
+ isdenormal(x.y),
+ isdenormal(x.z));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER typename vec<4, T, Q>::bool_type isdenormal
+ (
+ vec<4, T, Q> const& x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename vec<4, T, Q>::bool_type(
+ isdenormal(x.x),
+ isdenormal(x.y),
+ isdenormal(x.z),
+ isdenormal(x.w));
+ }
+
+ // fmod
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fmod(genType x, genType y)
+ {
+ return fmod(vec<1, genType>(x), y).x;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fmod(vec<L, T, Q> const& x, T y)
+ {
+ return detail::compute_fmod<L, T, Q, std::numeric_limits<T>::is_iec559>::call(x, vec<L, T, Q>(y));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fmod(vec<L, T, Q> const& x, vec<L, T, Q> const& y)
+ {
+ return detail::compute_fmod<L, T, Q, std::numeric_limits<T>::is_iec559>::call(x, y);
+ }
+
+ template <length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, bool, Q> openBounded(vec<L, T, Q> const& Value, vec<L, T, Q> const& Min, vec<L, T, Q> const& Max)
+ {
+ return greaterThan(Value, Min) && lessThan(Value, Max);
+ }
+
+ template <length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, bool, Q> closeBounded(vec<L, T, Q> const& Value, vec<L, T, Q> const& Min, vec<L, T, Q> const& Max)
+ {
+ return greaterThanEqual(Value, Min) && lessThanEqual(Value, Max);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/compatibility.hpp b/src/include/glm/gtx/compatibility.hpp
new file mode 100644
index 0000000..72acd11
--- /dev/null
+++ b/src/include/glm/gtx/compatibility.hpp
@@ -0,0 +1,133 @@
+/// @ref gtx_compatibility
+/// @file glm/gtx/compatibility.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_compatibility GLM_GTX_compatibility
+/// @ingroup gtx
+///
+/// Include <glm/gtx/compatibility.hpp> to use the features of this extension.
+///
+/// Provide functions to increase the compatibility with Cg and HLSL languages
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_compatibility is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_compatibility extension included")
+# endif
+#endif
+
+#if GLM_COMPILER & GLM_COMPILER_VC
+# include <cfloat>
+#elif GLM_COMPILER & GLM_COMPILER_GCC
+# include <cmath>
+# if(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
+# undef isfinite
+# endif
+#endif//GLM_COMPILER
+
+namespace glm
+{
+ /// @addtogroup gtx_compatibility
+ /// @{
+
+ template<typename T> GLM_FUNC_QUALIFIER T lerp(T x, T y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<2, T, Q> lerp(const vec<2, T, Q>& x, const vec<2, T, Q>& y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<3, T, Q> lerp(const vec<3, T, Q>& x, const vec<3, T, Q>& y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<4, T, Q> lerp(const vec<4, T, Q>& x, const vec<4, T, Q>& y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<2, T, Q> lerp(const vec<2, T, Q>& x, const vec<2, T, Q>& y, const vec<2, T, Q>& a){return mix(x, y, a);} //!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<3, T, Q> lerp(const vec<3, T, Q>& x, const vec<3, T, Q>& y, const vec<3, T, Q>& a){return mix(x, y, a);} //!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<4, T, Q> lerp(const vec<4, T, Q>& x, const vec<4, T, Q>& y, const vec<4, T, Q>& a){return mix(x, y, a);} //!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER T saturate(T x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<2, T, Q> saturate(const vec<2, T, Q>& x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<3, T, Q> saturate(const vec<3, T, Q>& x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<4, T, Q> saturate(const vec<4, T, Q>& x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER T atan2(T x, T y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<2, T, Q> atan2(const vec<2, T, Q>& x, const vec<2, T, Q>& y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<3, T, Q> atan2(const vec<3, T, Q>& x, const vec<3, T, Q>& y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_QUALIFIER vec<4, T, Q> atan2(const vec<4, T, Q>& x, const vec<4, T, Q>& y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+
+ template<typename genType> GLM_FUNC_DECL bool isfinite(genType const& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_DECL vec<1, bool, Q> isfinite(const vec<1, T, Q>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_DECL vec<2, bool, Q> isfinite(const vec<2, T, Q>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_DECL vec<3, bool, Q> isfinite(const vec<3, T, Q>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template<typename T, qualifier Q> GLM_FUNC_DECL vec<4, bool, Q> isfinite(const vec<4, T, Q>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+
+ typedef bool bool1; //!< \brief boolean type with 1 component. (From GLM_GTX_compatibility extension)
+ typedef vec<2, bool, highp> bool2; //!< \brief boolean type with 2 components. (From GLM_GTX_compatibility extension)
+ typedef vec<3, bool, highp> bool3; //!< \brief boolean type with 3 components. (From GLM_GTX_compatibility extension)
+ typedef vec<4, bool, highp> bool4; //!< \brief boolean type with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef bool bool1x1; //!< \brief boolean matrix with 1 x 1 component. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 2, bool, highp> bool2x2; //!< \brief boolean matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 3, bool, highp> bool2x3; //!< \brief boolean matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 4, bool, highp> bool2x4; //!< \brief boolean matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 2, bool, highp> bool3x2; //!< \brief boolean matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 3, bool, highp> bool3x3; //!< \brief boolean matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 4, bool, highp> bool3x4; //!< \brief boolean matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 2, bool, highp> bool4x2; //!< \brief boolean matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 3, bool, highp> bool4x3; //!< \brief boolean matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 4, bool, highp> bool4x4; //!< \brief boolean matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef int int1; //!< \brief integer vector with 1 component. (From GLM_GTX_compatibility extension)
+ typedef vec<2, int, highp> int2; //!< \brief integer vector with 2 components. (From GLM_GTX_compatibility extension)
+ typedef vec<3, int, highp> int3; //!< \brief integer vector with 3 components. (From GLM_GTX_compatibility extension)
+ typedef vec<4, int, highp> int4; //!< \brief integer vector with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef int int1x1; //!< \brief integer matrix with 1 component. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 2, int, highp> int2x2; //!< \brief integer matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 3, int, highp> int2x3; //!< \brief integer matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 4, int, highp> int2x4; //!< \brief integer matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 2, int, highp> int3x2; //!< \brief integer matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 3, int, highp> int3x3; //!< \brief integer matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 4, int, highp> int3x4; //!< \brief integer matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 2, int, highp> int4x2; //!< \brief integer matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 3, int, highp> int4x3; //!< \brief integer matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 4, int, highp> int4x4; //!< \brief integer matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef float float1; //!< \brief single-qualifier floating-point vector with 1 component. (From GLM_GTX_compatibility extension)
+ typedef vec<2, float, highp> float2; //!< \brief single-qualifier floating-point vector with 2 components. (From GLM_GTX_compatibility extension)
+ typedef vec<3, float, highp> float3; //!< \brief single-qualifier floating-point vector with 3 components. (From GLM_GTX_compatibility extension)
+ typedef vec<4, float, highp> float4; //!< \brief single-qualifier floating-point vector with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef float float1x1; //!< \brief single-qualifier floating-point matrix with 1 component. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 2, float, highp> float2x2; //!< \brief single-qualifier floating-point matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 3, float, highp> float2x3; //!< \brief single-qualifier floating-point matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 4, float, highp> float2x4; //!< \brief single-qualifier floating-point matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 2, float, highp> float3x2; //!< \brief single-qualifier floating-point matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 3, float, highp> float3x3; //!< \brief single-qualifier floating-point matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 4, float, highp> float3x4; //!< \brief single-qualifier floating-point matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 2, float, highp> float4x2; //!< \brief single-qualifier floating-point matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 3, float, highp> float4x3; //!< \brief single-qualifier floating-point matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 4, float, highp> float4x4; //!< \brief single-qualifier floating-point matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef double double1; //!< \brief double-qualifier floating-point vector with 1 component. (From GLM_GTX_compatibility extension)
+ typedef vec<2, double, highp> double2; //!< \brief double-qualifier floating-point vector with 2 components. (From GLM_GTX_compatibility extension)
+ typedef vec<3, double, highp> double3; //!< \brief double-qualifier floating-point vector with 3 components. (From GLM_GTX_compatibility extension)
+ typedef vec<4, double, highp> double4; //!< \brief double-qualifier floating-point vector with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef double double1x1; //!< \brief double-qualifier floating-point matrix with 1 component. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 2, double, highp> double2x2; //!< \brief double-qualifier floating-point matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 3, double, highp> double2x3; //!< \brief double-qualifier floating-point matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<2, 4, double, highp> double2x4; //!< \brief double-qualifier floating-point matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 2, double, highp> double3x2; //!< \brief double-qualifier floating-point matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 3, double, highp> double3x3; //!< \brief double-qualifier floating-point matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<3, 4, double, highp> double3x4; //!< \brief double-qualifier floating-point matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 2, double, highp> double4x2; //!< \brief double-qualifier floating-point matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 3, double, highp> double4x3; //!< \brief double-qualifier floating-point matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef mat<4, 4, double, highp> double4x4; //!< \brief double-qualifier floating-point matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ /// @}
+}//namespace glm
+
+#include "compatibility.inl"
diff --git a/src/include/glm/gtx/compatibility.inl b/src/include/glm/gtx/compatibility.inl
new file mode 100644
index 0000000..cbac88f
--- /dev/null
+++ b/src/include/glm/gtx/compatibility.inl
@@ -0,0 +1,62 @@
+#include <limits>
+
+namespace glm
+{
+ // isfinite
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool isfinite(
+ genType const& x)
+ {
+# if GLM_HAS_CXX11_STL
+ return std::isfinite(x) != 0;
+# elif GLM_COMPILER & GLM_COMPILER_VC
+ return _finite(x) != 0;
+# elif GLM_COMPILER & GLM_COMPILER_GCC && GLM_PLATFORM & GLM_PLATFORM_ANDROID
+ return _isfinite(x) != 0;
+# else
+ if (std::numeric_limits<genType>::is_integer || std::denorm_absent == std::numeric_limits<genType>::has_denorm)
+ return std::numeric_limits<genType>::min() <= x && std::numeric_limits<genType>::max() >= x;
+ else
+ return -std::numeric_limits<genType>::max() <= x && std::numeric_limits<genType>::max() >= x;
+# endif
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<1, bool, Q> isfinite(
+ vec<1, T, Q> const& x)
+ {
+ return vec<1, bool, Q>(
+ isfinite(x.x));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<2, bool, Q> isfinite(
+ vec<2, T, Q> const& x)
+ {
+ return vec<2, bool, Q>(
+ isfinite(x.x),
+ isfinite(x.y));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, bool, Q> isfinite(
+ vec<3, T, Q> const& x)
+ {
+ return vec<3, bool, Q>(
+ isfinite(x.x),
+ isfinite(x.y),
+ isfinite(x.z));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, bool, Q> isfinite(
+ vec<4, T, Q> const& x)
+ {
+ return vec<4, bool, Q>(
+ isfinite(x.x),
+ isfinite(x.y),
+ isfinite(x.z),
+ isfinite(x.w));
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/component_wise.hpp b/src/include/glm/gtx/component_wise.hpp
new file mode 100644
index 0000000..0803185
--- /dev/null
+++ b/src/include/glm/gtx/component_wise.hpp
@@ -0,0 +1,69 @@
+/// @ref gtx_component_wise
+/// @file glm/gtx/component_wise.hpp
+/// @date 2007-05-21 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_component_wise GLM_GTX_component_wise
+/// @ingroup gtx
+///
+/// Include <glm/gtx/component_wise.hpp> to use the features of this extension.
+///
+/// Operations between components of a type
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+#include "../detail/qualifier.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_component_wise is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_component_wise extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_component_wise
+ /// @{
+
+ /// Convert an integer vector to a normalized float vector.
+ /// If the parameter value type is already a floating qualifier type, the value is passed through.
+ /// @see gtx_component_wise
+ template<typename floatType, length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, floatType, Q> compNormalize(vec<L, T, Q> const& v);
+
+ /// Convert a normalized float vector to an integer vector.
+ /// If the parameter value type is already a floating qualifier type, the value is passed through.
+ /// @see gtx_component_wise
+ template<length_t L, typename T, typename floatType, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> compScale(vec<L, floatType, Q> const& v);
+
+ /// Add all vector components together.
+ /// @see gtx_component_wise
+ template<typename genType>
+ GLM_FUNC_DECL typename genType::value_type compAdd(genType const& v);
+
+ /// Multiply all vector components together.
+ /// @see gtx_component_wise
+ template<typename genType>
+ GLM_FUNC_DECL typename genType::value_type compMul(genType const& v);
+
+ /// Find the minimum value between single vector components.
+ /// @see gtx_component_wise
+ template<typename genType>
+ GLM_FUNC_DECL typename genType::value_type compMin(genType const& v);
+
+ /// Find the maximum value between single vector components.
+ /// @see gtx_component_wise
+ template<typename genType>
+ GLM_FUNC_DECL typename genType::value_type compMax(genType const& v);
+
+ /// @}
+}//namespace glm
+
+#include "component_wise.inl"
diff --git a/src/include/glm/gtx/component_wise.inl b/src/include/glm/gtx/component_wise.inl
new file mode 100644
index 0000000..4bafb14
--- /dev/null
+++ b/src/include/glm/gtx/component_wise.inl
@@ -0,0 +1,127 @@
+/// @ref gtx_component_wise
+
+#include <limits>
+
+namespace glm{
+namespace detail
+{
+ template<length_t L, typename T, typename floatType, qualifier Q, bool isInteger, bool signedType>
+ struct compute_compNormalize
+ {};
+
+ template<length_t L, typename T, typename floatType, qualifier Q>
+ struct compute_compNormalize<L, T, floatType, Q, true, true>
+ {
+ GLM_FUNC_QUALIFIER static vec<L, floatType, Q> call(vec<L, T, Q> const& v)
+ {
+ floatType const Min = static_cast<floatType>(std::numeric_limits<T>::min());
+ floatType const Max = static_cast<floatType>(std::numeric_limits<T>::max());
+ return (vec<L, floatType, Q>(v) - Min) / (Max - Min) * static_cast<floatType>(2) - static_cast<floatType>(1);
+ }
+ };
+
+ template<length_t L, typename T, typename floatType, qualifier Q>
+ struct compute_compNormalize<L, T, floatType, Q, true, false>
+ {
+ GLM_FUNC_QUALIFIER static vec<L, floatType, Q> call(vec<L, T, Q> const& v)
+ {
+ return vec<L, floatType, Q>(v) / static_cast<floatType>(std::numeric_limits<T>::max());
+ }
+ };
+
+ template<length_t L, typename T, typename floatType, qualifier Q>
+ struct compute_compNormalize<L, T, floatType, Q, false, true>
+ {
+ GLM_FUNC_QUALIFIER static vec<L, floatType, Q> call(vec<L, T, Q> const& v)
+ {
+ return v;
+ }
+ };
+
+ template<length_t L, typename T, typename floatType, qualifier Q, bool isInteger, bool signedType>
+ struct compute_compScale
+ {};
+
+ template<length_t L, typename T, typename floatType, qualifier Q>
+ struct compute_compScale<L, T, floatType, Q, true, true>
+ {
+ GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, floatType, Q> const& v)
+ {
+ floatType const Max = static_cast<floatType>(std::numeric_limits<T>::max()) + static_cast<floatType>(0.5);
+ vec<L, floatType, Q> const Scaled(v * Max);
+ vec<L, T, Q> const Result(Scaled - static_cast<floatType>(0.5));
+ return Result;
+ }
+ };
+
+ template<length_t L, typename T, typename floatType, qualifier Q>
+ struct compute_compScale<L, T, floatType, Q, true, false>
+ {
+ GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, floatType, Q> const& v)
+ {
+ return vec<L, T, Q>(vec<L, floatType, Q>(v) * static_cast<floatType>(std::numeric_limits<T>::max()));
+ }
+ };
+
+ template<length_t L, typename T, typename floatType, qualifier Q>
+ struct compute_compScale<L, T, floatType, Q, false, true>
+ {
+ GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, floatType, Q> const& v)
+ {
+ return v;
+ }
+ };
+}//namespace detail
+
+ template<typename floatType, length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, floatType, Q> compNormalize(vec<L, T, Q> const& v)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "'compNormalize' accepts only floating-point types for 'floatType' template parameter");
+
+ return detail::compute_compNormalize<L, T, floatType, Q, std::numeric_limits<T>::is_integer, std::numeric_limits<T>::is_signed>::call(v);
+ }
+
+ template<typename T, length_t L, typename floatType, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> compScale(vec<L, floatType, Q> const& v)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "'compScale' accepts only floating-point types for 'floatType' template parameter");
+
+ return detail::compute_compScale<L, T, floatType, Q, std::numeric_limits<T>::is_integer, std::numeric_limits<T>::is_signed>::call(v);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T compAdd(vec<L, T, Q> const& v)
+ {
+ T Result(0);
+ for(length_t i = 0, n = v.length(); i < n; ++i)
+ Result += v[i];
+ return Result;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T compMul(vec<L, T, Q> const& v)
+ {
+ T Result(1);
+ for(length_t i = 0, n = v.length(); i < n; ++i)
+ Result *= v[i];
+ return Result;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T compMin(vec<L, T, Q> const& v)
+ {
+ T Result(v[0]);
+ for(length_t i = 1, n = v.length(); i < n; ++i)
+ Result = min(Result, v[i]);
+ return Result;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T compMax(vec<L, T, Q> const& v)
+ {
+ T Result(v[0]);
+ for(length_t i = 1, n = v.length(); i < n; ++i)
+ Result = max(Result, v[i]);
+ return Result;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/dual_quaternion.hpp b/src/include/glm/gtx/dual_quaternion.hpp
new file mode 100644
index 0000000..302d8ad
--- /dev/null
+++ b/src/include/glm/gtx/dual_quaternion.hpp
@@ -0,0 +1,274 @@
+/// @ref gtx_dual_quaternion
+/// @file glm/gtx/dual_quaternion.hpp
+/// @author Maksim Vorobiev (msomeone@gmail.com)
+///
+/// @see core (dependence)
+/// @see gtc_constants (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_dual_quaternion GLM_GTX_dual_quaternion
+/// @ingroup gtx
+///
+/// Include <glm/gtx/dual_quaternion.hpp> to use the features of this extension.
+///
+/// Defines a templated dual-quaternion type and several dual-quaternion operations.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/constants.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_dual_quaternion is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_dual_quaternion extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_dual_quaternion
+ /// @{
+
+ template<typename T, qualifier Q = defaultp>
+ struct tdualquat
+ {
+ // -- Implementation detail --
+
+ typedef T value_type;
+ typedef qua<T, Q> part_type;
+
+ // -- Data --
+
+ qua<T, Q> real, dual;
+
+ // -- Component accesses --
+
+ typedef length_t length_type;
+ /// Return the count of components of a dual quaternion
+ GLM_FUNC_DECL static GLM_CONSTEXPR length_type length(){return 2;}
+
+ GLM_FUNC_DECL part_type & operator[](length_type i);
+ GLM_FUNC_DECL part_type const& operator[](length_type i) const;
+
+ // -- Implicit basic constructors --
+
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat() GLM_DEFAULT;
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, Q> const& d) GLM_DEFAULT;
+ template<qualifier P>
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, P> const& d);
+
+ // -- Explicit basic constructors --
+
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(qua<T, Q> const& real);
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(qua<T, Q> const& orientation, vec<3, T, Q> const& translation);
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(qua<T, Q> const& real, qua<T, Q> const& dual);
+
+ // -- Conversion constructors --
+
+ template<typename U, qualifier P>
+ GLM_FUNC_DECL GLM_CONSTEXPR GLM_EXPLICIT tdualquat(tdualquat<U, P> const& q);
+
+ GLM_FUNC_DECL GLM_EXPLICIT GLM_CONSTEXPR tdualquat(mat<2, 4, T, Q> const& holder_mat);
+ GLM_FUNC_DECL GLM_EXPLICIT GLM_CONSTEXPR tdualquat(mat<3, 4, T, Q> const& aug_mat);
+
+ // -- Unary arithmetic operators --
+
+ GLM_FUNC_DECL tdualquat<T, Q> & operator=(tdualquat<T, Q> const& m) GLM_DEFAULT;
+
+ template<typename U>
+ GLM_FUNC_DECL tdualquat<T, Q> & operator=(tdualquat<U, Q> const& m);
+ template<typename U>
+ GLM_FUNC_DECL tdualquat<T, Q> & operator*=(U s);
+ template<typename U>
+ GLM_FUNC_DECL tdualquat<T, Q> & operator/=(U s);
+ };
+
+ // -- Unary bit operators --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> operator+(tdualquat<T, Q> const& q);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> operator-(tdualquat<T, Q> const& q);
+
+ // -- Binary operators --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> operator+(tdualquat<T, Q> const& q, tdualquat<T, Q> const& p);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> operator*(tdualquat<T, Q> const& q, tdualquat<T, Q> const& p);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> operator*(tdualquat<T, Q> const& q, vec<3, T, Q> const& v);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> operator*(vec<3, T, Q> const& v, tdualquat<T, Q> const& q);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> operator*(tdualquat<T, Q> const& q, vec<4, T, Q> const& v);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> operator*(vec<4, T, Q> const& v, tdualquat<T, Q> const& q);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> operator*(tdualquat<T, Q> const& q, T const& s);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> operator*(T const& s, tdualquat<T, Q> const& q);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> operator/(tdualquat<T, Q> const& q, T const& s);
+
+ // -- Boolean operators --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool operator==(tdualquat<T, Q> const& q1, tdualquat<T, Q> const& q2);
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool operator!=(tdualquat<T, Q> const& q1, tdualquat<T, Q> const& q2);
+
+ /// Creates an identity dual quaternion.
+ ///
+ /// @see gtx_dual_quaternion
+ template <typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> dual_quat_identity();
+
+ /// Returns the normalized quaternion.
+ ///
+ /// @see gtx_dual_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> normalize(tdualquat<T, Q> const& q);
+
+ /// Returns the linear interpolation of two dual quaternion.
+ ///
+ /// @see gtc_dual_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> lerp(tdualquat<T, Q> const& x, tdualquat<T, Q> const& y, T const& a);
+
+ /// Returns the q inverse.
+ ///
+ /// @see gtx_dual_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> inverse(tdualquat<T, Q> const& q);
+
+ /// Converts a quaternion to a 2 * 4 matrix.
+ ///
+ /// @see gtx_dual_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 4, T, Q> mat2x4_cast(tdualquat<T, Q> const& x);
+
+ /// Converts a quaternion to a 3 * 4 matrix.
+ ///
+ /// @see gtx_dual_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 4, T, Q> mat3x4_cast(tdualquat<T, Q> const& x);
+
+ /// Converts a 2 * 4 matrix (matrix which holds real and dual parts) to a quaternion.
+ ///
+ /// @see gtx_dual_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> dualquat_cast(mat<2, 4, T, Q> const& x);
+
+ /// Converts a 3 * 4 matrix (augmented matrix rotation + translation) to a quaternion.
+ ///
+ /// @see gtx_dual_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL tdualquat<T, Q> dualquat_cast(mat<3, 4, T, Q> const& x);
+
+
+ /// Dual-quaternion of low single-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, lowp> lowp_dualquat;
+
+ /// Dual-quaternion of medium single-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, mediump> mediump_dualquat;
+
+ /// Dual-quaternion of high single-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, highp> highp_dualquat;
+
+
+ /// Dual-quaternion of low single-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, lowp> lowp_fdualquat;
+
+ /// Dual-quaternion of medium single-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, mediump> mediump_fdualquat;
+
+ /// Dual-quaternion of high single-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, highp> highp_fdualquat;
+
+
+ /// Dual-quaternion of low double-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<double, lowp> lowp_ddualquat;
+
+ /// Dual-quaternion of medium double-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<double, mediump> mediump_ddualquat;
+
+ /// Dual-quaternion of high double-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<double, highp> highp_ddualquat;
+
+
+#if(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+ /// Dual-quaternion of floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef highp_fdualquat dualquat;
+
+ /// Dual-quaternion of single-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef highp_fdualquat fdualquat;
+#elif(defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+ typedef highp_fdualquat dualquat;
+ typedef highp_fdualquat fdualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+ typedef mediump_fdualquat dualquat;
+ typedef mediump_fdualquat fdualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && defined(GLM_PRECISION_LOWP_FLOAT))
+ typedef lowp_fdualquat dualquat;
+ typedef lowp_fdualquat fdualquat;
+#else
+# error "GLM error: multiple default precision requested for single-precision floating-point types"
+#endif
+
+
+#if(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+ /// Dual-quaternion of default double-qualifier floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef highp_ddualquat ddualquat;
+#elif(defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+ typedef highp_ddualquat ddualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+ typedef mediump_ddualquat ddualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && defined(GLM_PRECISION_LOWP_DOUBLE))
+ typedef lowp_ddualquat ddualquat;
+#else
+# error "GLM error: Multiple default precision requested for double-precision floating-point types"
+#endif
+
+ /// @}
+} //namespace glm
+
+#include "dual_quaternion.inl"
diff --git a/src/include/glm/gtx/dual_quaternion.inl b/src/include/glm/gtx/dual_quaternion.inl
new file mode 100644
index 0000000..4fc8b57
--- /dev/null
+++ b/src/include/glm/gtx/dual_quaternion.inl
@@ -0,0 +1,352 @@
+/// @ref gtx_dual_quaternion
+
+#include "../geometric.hpp"
+#include <limits>
+
+namespace glm
+{
+ // -- Component accesses --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER typename tdualquat<T, Q>::part_type & tdualquat<T, Q>::operator[](typename tdualquat<T, Q>::length_type i)
+ {
+ assert(i >= 0 && i < this->length());
+ return (&real)[i];
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER typename tdualquat<T, Q>::part_type const& tdualquat<T, Q>::operator[](typename tdualquat<T, Q>::length_type i) const
+ {
+ assert(i >= 0 && i < this->length());
+ return (&real)[i];
+ }
+
+ // -- Implicit basic constructors --
+
+# if GLM_CONFIG_DEFAULTED_FUNCTIONS == GLM_DISABLE
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat()
+# if GLM_CONFIG_DEFAULTED_FUNCTIONS != GLM_DISABLE
+ : real(qua<T, Q>())
+ , dual(qua<T, Q>(0, 0, 0, 0))
+# endif
+ {}
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(tdualquat<T, Q> const& d)
+ : real(d.real)
+ , dual(d.dual)
+ {}
+# endif
+
+ template<typename T, qualifier Q>
+ template<qualifier P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(tdualquat<T, P> const& d)
+ : real(d.real)
+ , dual(d.dual)
+ {}
+
+ // -- Explicit basic constructors --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(qua<T, Q> const& r)
+ : real(r), dual(qua<T, Q>(0, 0, 0, 0))
+ {}
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(qua<T, Q> const& q, vec<3, T, Q> const& p)
+ : real(q), dual(
+ T(-0.5) * ( p.x*q.x + p.y*q.y + p.z*q.z),
+ T(+0.5) * ( p.x*q.w + p.y*q.z - p.z*q.y),
+ T(+0.5) * (-p.x*q.z + p.y*q.w + p.z*q.x),
+ T(+0.5) * ( p.x*q.y - p.y*q.x + p.z*q.w))
+ {}
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(qua<T, Q> const& r, qua<T, Q> const& d)
+ : real(r), dual(d)
+ {}
+
+ // -- Conversion constructors --
+
+ template<typename T, qualifier Q>
+ template<typename U, qualifier P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(tdualquat<U, P> const& q)
+ : real(q.real)
+ , dual(q.dual)
+ {}
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(mat<2, 4, T, Q> const& m)
+ {
+ *this = dualquat_cast(m);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, Q>::tdualquat(mat<3, 4, T, Q> const& m)
+ {
+ *this = dualquat_cast(m);
+ }
+
+ // -- Unary arithmetic operators --
+
+# if GLM_CONFIG_DEFAULTED_FUNCTIONS == GLM_DISABLE
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> & tdualquat<T, Q>::operator=(tdualquat<T, Q> const& q)
+ {
+ this->real = q.real;
+ this->dual = q.dual;
+ return *this;
+ }
+# endif
+
+ template<typename T, qualifier Q>
+ template<typename U>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> & tdualquat<T, Q>::operator=(tdualquat<U, Q> const& q)
+ {
+ this->real = q.real;
+ this->dual = q.dual;
+ return *this;
+ }
+
+ template<typename T, qualifier Q>
+ template<typename U>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> & tdualquat<T, Q>::operator*=(U s)
+ {
+ this->real *= static_cast<T>(s);
+ this->dual *= static_cast<T>(s);
+ return *this;
+ }
+
+ template<typename T, qualifier Q>
+ template<typename U>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> & tdualquat<T, Q>::operator/=(U s)
+ {
+ this->real /= static_cast<T>(s);
+ this->dual /= static_cast<T>(s);
+ return *this;
+ }
+
+ // -- Unary bit operators --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> operator+(tdualquat<T, Q> const& q)
+ {
+ return q;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> operator-(tdualquat<T, Q> const& q)
+ {
+ return tdualquat<T, Q>(-q.real, -q.dual);
+ }
+
+ // -- Binary operators --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> operator+(tdualquat<T, Q> const& q, tdualquat<T, Q> const& p)
+ {
+ return tdualquat<T, Q>(q.real + p.real,q.dual + p.dual);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> operator*(tdualquat<T, Q> const& p, tdualquat<T, Q> const& o)
+ {
+ return tdualquat<T, Q>(p.real * o.real,p.real * o.dual + p.dual * o.real);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> operator*(tdualquat<T, Q> const& q, vec<3, T, Q> const& v)
+ {
+ vec<3, T, Q> const real_v3(q.real.x,q.real.y,q.real.z);
+ vec<3, T, Q> const dual_v3(q.dual.x,q.dual.y,q.dual.z);
+ return (cross(real_v3, cross(real_v3,v) + v * q.real.w + dual_v3) + dual_v3 * q.real.w - real_v3 * q.dual.w) * T(2) + v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> operator*(vec<3, T, Q> const& v, tdualquat<T, Q> const& q)
+ {
+ return glm::inverse(q) * v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> operator*(tdualquat<T, Q> const& q, vec<4, T, Q> const& v)
+ {
+ return vec<4, T, Q>(q * vec<3, T, Q>(v), v.w);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> operator*(vec<4, T, Q> const& v, tdualquat<T, Q> const& q)
+ {
+ return glm::inverse(q) * v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> operator*(tdualquat<T, Q> const& q, T const& s)
+ {
+ return tdualquat<T, Q>(q.real * s, q.dual * s);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> operator*(T const& s, tdualquat<T, Q> const& q)
+ {
+ return q * s;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> operator/(tdualquat<T, Q> const& q, T const& s)
+ {
+ return tdualquat<T, Q>(q.real / s, q.dual / s);
+ }
+
+ // -- Boolean operators --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool operator==(tdualquat<T, Q> const& q1, tdualquat<T, Q> const& q2)
+ {
+ return (q1.real == q2.real) && (q1.dual == q2.dual);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool operator!=(tdualquat<T, Q> const& q1, tdualquat<T, Q> const& q2)
+ {
+ return (q1.real != q2.real) || (q1.dual != q2.dual);
+ }
+
+ // -- Operations --
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> dual_quat_identity()
+ {
+ return tdualquat<T, Q>(
+ qua<T, Q>(static_cast<T>(1), static_cast<T>(0), static_cast<T>(0), static_cast<T>(0)),
+ qua<T, Q>(static_cast<T>(0), static_cast<T>(0), static_cast<T>(0), static_cast<T>(0)));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> normalize(tdualquat<T, Q> const& q)
+ {
+ return q / length(q.real);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> lerp(tdualquat<T, Q> const& x, tdualquat<T, Q> const& y, T const& a)
+ {
+ // Dual Quaternion Linear blend aka DLB:
+ // Lerp is only defined in [0, 1]
+ assert(a >= static_cast<T>(0));
+ assert(a <= static_cast<T>(1));
+ T const k = dot(x.real,y.real) < static_cast<T>(0) ? -a : a;
+ T const one(1);
+ return tdualquat<T, Q>(x * (one - a) + y * k);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> inverse(tdualquat<T, Q> const& q)
+ {
+ const glm::qua<T, Q> real = conjugate(q.real);
+ const glm::qua<T, Q> dual = conjugate(q.dual);
+ return tdualquat<T, Q>(real, dual + (real * (-2.0f * dot(real,dual))));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 4, T, Q> mat2x4_cast(tdualquat<T, Q> const& x)
+ {
+ return mat<2, 4, T, Q>( x[0].x, x[0].y, x[0].z, x[0].w, x[1].x, x[1].y, x[1].z, x[1].w );
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 4, T, Q> mat3x4_cast(tdualquat<T, Q> const& x)
+ {
+ qua<T, Q> r = x.real / length2(x.real);
+
+ qua<T, Q> const rr(r.w * x.real.w, r.x * x.real.x, r.y * x.real.y, r.z * x.real.z);
+ r *= static_cast<T>(2);
+
+ T const xy = r.x * x.real.y;
+ T const xz = r.x * x.real.z;
+ T const yz = r.y * x.real.z;
+ T const wx = r.w * x.real.x;
+ T const wy = r.w * x.real.y;
+ T const wz = r.w * x.real.z;
+
+ vec<4, T, Q> const a(
+ rr.w + rr.x - rr.y - rr.z,
+ xy - wz,
+ xz + wy,
+ -(x.dual.w * r.x - x.dual.x * r.w + x.dual.y * r.z - x.dual.z * r.y));
+
+ vec<4, T, Q> const b(
+ xy + wz,
+ rr.w + rr.y - rr.x - rr.z,
+ yz - wx,
+ -(x.dual.w * r.y - x.dual.x * r.z - x.dual.y * r.w + x.dual.z * r.x));
+
+ vec<4, T, Q> const c(
+ xz - wy,
+ yz + wx,
+ rr.w + rr.z - rr.x - rr.y,
+ -(x.dual.w * r.z + x.dual.x * r.y - x.dual.y * r.x - x.dual.z * r.w));
+
+ return mat<3, 4, T, Q>(a, b, c);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> dualquat_cast(mat<2, 4, T, Q> const& x)
+ {
+ return tdualquat<T, Q>(
+ qua<T, Q>( x[0].w, x[0].x, x[0].y, x[0].z ),
+ qua<T, Q>( x[1].w, x[1].x, x[1].y, x[1].z ));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER tdualquat<T, Q> dualquat_cast(mat<3, 4, T, Q> const& x)
+ {
+ qua<T, Q> real;
+
+ T const trace = x[0].x + x[1].y + x[2].z;
+ if(trace > static_cast<T>(0))
+ {
+ T const r = sqrt(T(1) + trace);
+ T const invr = static_cast<T>(0.5) / r;
+ real.w = static_cast<T>(0.5) * r;
+ real.x = (x[2].y - x[1].z) * invr;
+ real.y = (x[0].z - x[2].x) * invr;
+ real.z = (x[1].x - x[0].y) * invr;
+ }
+ else if(x[0].x > x[1].y && x[0].x > x[2].z)
+ {
+ T const r = sqrt(T(1) + x[0].x - x[1].y - x[2].z);
+ T const invr = static_cast<T>(0.5) / r;
+ real.x = static_cast<T>(0.5)*r;
+ real.y = (x[1].x + x[0].y) * invr;
+ real.z = (x[0].z + x[2].x) * invr;
+ real.w = (x[2].y - x[1].z) * invr;
+ }
+ else if(x[1].y > x[2].z)
+ {
+ T const r = sqrt(T(1) + x[1].y - x[0].x - x[2].z);
+ T const invr = static_cast<T>(0.5) / r;
+ real.x = (x[1].x + x[0].y) * invr;
+ real.y = static_cast<T>(0.5) * r;
+ real.z = (x[2].y + x[1].z) * invr;
+ real.w = (x[0].z - x[2].x) * invr;
+ }
+ else
+ {
+ T const r = sqrt(T(1) + x[2].z - x[0].x - x[1].y);
+ T const invr = static_cast<T>(0.5) / r;
+ real.x = (x[0].z + x[2].x) * invr;
+ real.y = (x[2].y + x[1].z) * invr;
+ real.z = static_cast<T>(0.5) * r;
+ real.w = (x[1].x - x[0].y) * invr;
+ }
+
+ qua<T, Q> dual;
+ dual.x = static_cast<T>(0.5) * ( x[0].w * real.w + x[1].w * real.z - x[2].w * real.y);
+ dual.y = static_cast<T>(0.5) * (-x[0].w * real.z + x[1].w * real.w + x[2].w * real.x);
+ dual.z = static_cast<T>(0.5) * ( x[0].w * real.y - x[1].w * real.x + x[2].w * real.w);
+ dual.w = -static_cast<T>(0.5) * ( x[0].w * real.x + x[1].w * real.y + x[2].w * real.z);
+ return tdualquat<T, Q>(real, dual);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/easing.hpp b/src/include/glm/gtx/easing.hpp
new file mode 100644
index 0000000..f3d61fd
--- /dev/null
+++ b/src/include/glm/gtx/easing.hpp
@@ -0,0 +1,219 @@
+/// @ref gtx_easing
+/// @file glm/gtx/easing.hpp
+/// @author Robert Chisholm
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_easing GLM_GTX_easing
+/// @ingroup gtx
+///
+/// Include <glm/gtx/easing.hpp> to use the features of this extension.
+///
+/// Easing functions for animations and transitons
+/// All functions take a parameter x in the range [0.0,1.0]
+///
+/// Based on the AHEasing project of Warren Moore (https://github.com/warrenm/AHEasing)
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/constants.hpp"
+#include "../detail/qualifier.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_easing is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_easing extension included")
+# endif
+#endif
+
+namespace glm{
+ /// @addtogroup gtx_easing
+ /// @{
+
+ /// Modelled after the line y = x
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType linearInterpolation(genType const & a);
+
+ /// Modelled after the parabola y = x^2
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quadraticEaseIn(genType const & a);
+
+ /// Modelled after the parabola y = -x^2 + 2x
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quadraticEaseOut(genType const & a);
+
+ /// Modelled after the piecewise quadratic
+ /// y = (1/2)((2x)^2) ; [0, 0.5)
+ /// y = -(1/2)((2x-1)*(2x-3) - 1) ; [0.5, 1]
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quadraticEaseInOut(genType const & a);
+
+ /// Modelled after the cubic y = x^3
+ template <typename genType>
+ GLM_FUNC_DECL genType cubicEaseIn(genType const & a);
+
+ /// Modelled after the cubic y = (x - 1)^3 + 1
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType cubicEaseOut(genType const & a);
+
+ /// Modelled after the piecewise cubic
+ /// y = (1/2)((2x)^3) ; [0, 0.5)
+ /// y = (1/2)((2x-2)^3 + 2) ; [0.5, 1]
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType cubicEaseInOut(genType const & a);
+
+ /// Modelled after the quartic x^4
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quarticEaseIn(genType const & a);
+
+ /// Modelled after the quartic y = 1 - (x - 1)^4
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quarticEaseOut(genType const & a);
+
+ /// Modelled after the piecewise quartic
+ /// y = (1/2)((2x)^4) ; [0, 0.5)
+ /// y = -(1/2)((2x-2)^4 - 2) ; [0.5, 1]
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quarticEaseInOut(genType const & a);
+
+ /// Modelled after the quintic y = x^5
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quinticEaseIn(genType const & a);
+
+ /// Modelled after the quintic y = (x - 1)^5 + 1
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quinticEaseOut(genType const & a);
+
+ /// Modelled after the piecewise quintic
+ /// y = (1/2)((2x)^5) ; [0, 0.5)
+ /// y = (1/2)((2x-2)^5 + 2) ; [0.5, 1]
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType quinticEaseInOut(genType const & a);
+
+ /// Modelled after quarter-cycle of sine wave
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType sineEaseIn(genType const & a);
+
+ /// Modelled after quarter-cycle of sine wave (different phase)
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType sineEaseOut(genType const & a);
+
+ /// Modelled after half sine wave
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType sineEaseInOut(genType const & a);
+
+ /// Modelled after shifted quadrant IV of unit circle
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType circularEaseIn(genType const & a);
+
+ /// Modelled after shifted quadrant II of unit circle
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType circularEaseOut(genType const & a);
+
+ /// Modelled after the piecewise circular function
+ /// y = (1/2)(1 - sqrt(1 - 4x^2)) ; [0, 0.5)
+ /// y = (1/2)(sqrt(-(2x - 3)*(2x - 1)) + 1) ; [0.5, 1]
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType circularEaseInOut(genType const & a);
+
+ /// Modelled after the exponential function y = 2^(10(x - 1))
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType exponentialEaseIn(genType const & a);
+
+ /// Modelled after the exponential function y = -2^(-10x) + 1
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType exponentialEaseOut(genType const & a);
+
+ /// Modelled after the piecewise exponential
+ /// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
+ /// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType exponentialEaseInOut(genType const & a);
+
+ /// Modelled after the damped sine wave y = sin(13pi/2*x)*pow(2, 10 * (x - 1))
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType elasticEaseIn(genType const & a);
+
+ /// Modelled after the damped sine wave y = sin(-13pi/2*(x + 1))*pow(2, -10x) + 1
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType elasticEaseOut(genType const & a);
+
+ /// Modelled after the piecewise exponentially-damped sine wave:
+ /// y = (1/2)*sin(13pi/2*(2*x))*pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
+ /// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType elasticEaseInOut(genType const & a);
+
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType backEaseIn(genType const& a);
+
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType backEaseOut(genType const& a);
+
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType backEaseInOut(genType const& a);
+
+ /// @param a parameter
+ /// @param o Optional overshoot modifier
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType backEaseIn(genType const& a, genType const& o);
+
+ /// @param a parameter
+ /// @param o Optional overshoot modifier
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType backEaseOut(genType const& a, genType const& o);
+
+ /// @param a parameter
+ /// @param o Optional overshoot modifier
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType backEaseInOut(genType const& a, genType const& o);
+
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType bounceEaseIn(genType const& a);
+
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType bounceEaseOut(genType const& a);
+
+ /// @see gtx_easing
+ template <typename genType>
+ GLM_FUNC_DECL genType bounceEaseInOut(genType const& a);
+
+ /// @}
+}//namespace glm
+
+#include "easing.inl"
diff --git a/src/include/glm/gtx/easing.inl b/src/include/glm/gtx/easing.inl
new file mode 100644
index 0000000..9ef4171
--- /dev/null
+++ b/src/include/glm/gtx/easing.inl
@@ -0,0 +1,436 @@
+/// @ref gtx_easing
+
+#include <cmath>
+
+namespace glm{
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType linearInterpolation(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return a;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quadraticEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return a * a;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quadraticEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return -(a * (a - static_cast<genType>(2)));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quadraticEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(0.5))
+ {
+ return static_cast<genType>(2) * a * a;
+ }
+ else
+ {
+ return (-static_cast<genType>(2) * a * a) + (4 * a) - one<genType>();
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType cubicEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return a * a * a;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType cubicEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ genType const f = a - one<genType>();
+ return f * f * f + one<genType>();
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType cubicEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if (a < static_cast<genType>(0.5))
+ {
+ return static_cast<genType>(4) * a * a * a;
+ }
+ else
+ {
+ genType const f = ((static_cast<genType>(2) * a) - static_cast<genType>(2));
+ return static_cast<genType>(0.5) * f * f * f + one<genType>();
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quarticEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return a * a * a * a;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quarticEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ genType const f = (a - one<genType>());
+ return f * f * f * (one<genType>() - a) + one<genType>();
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quarticEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(0.5))
+ {
+ return static_cast<genType>(8) * a * a * a * a;
+ }
+ else
+ {
+ genType const f = (a - one<genType>());
+ return -static_cast<genType>(8) * f * f * f * f + one<genType>();
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quinticEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return a * a * a * a * a;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quinticEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ genType const f = (a - one<genType>());
+ return f * f * f * f * f + one<genType>();
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType quinticEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(0.5))
+ {
+ return static_cast<genType>(16) * a * a * a * a * a;
+ }
+ else
+ {
+ genType const f = ((static_cast<genType>(2) * a) - static_cast<genType>(2));
+ return static_cast<genType>(0.5) * f * f * f * f * f + one<genType>();
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType sineEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return sin((a - one<genType>()) * half_pi<genType>()) + one<genType>();
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType sineEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return sin(a * half_pi<genType>());
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType sineEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return static_cast<genType>(0.5) * (one<genType>() - cos(a * pi<genType>()));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType circularEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return one<genType>() - sqrt(one<genType>() - (a * a));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType circularEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return sqrt((static_cast<genType>(2) - a) * a);
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType circularEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(0.5))
+ {
+ return static_cast<genType>(0.5) * (one<genType>() - std::sqrt(one<genType>() - static_cast<genType>(4) * (a * a)));
+ }
+ else
+ {
+ return static_cast<genType>(0.5) * (std::sqrt(-((static_cast<genType>(2) * a) - static_cast<genType>(3)) * ((static_cast<genType>(2) * a) - one<genType>())) + one<genType>());
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType exponentialEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a <= zero<genType>())
+ return a;
+ else
+ {
+ genType const Complementary = a - one<genType>();
+ genType const Two = static_cast<genType>(2);
+
+ return glm::pow(Two, Complementary * static_cast<genType>(10));
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType exponentialEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a >= one<genType>())
+ return a;
+ else
+ {
+ return one<genType>() - glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * a);
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType exponentialEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(0.5))
+ return static_cast<genType>(0.5) * glm::pow(static_cast<genType>(2), (static_cast<genType>(20) * a) - static_cast<genType>(10));
+ else
+ return -static_cast<genType>(0.5) * glm::pow(static_cast<genType>(2), (-static_cast<genType>(20) * a) + static_cast<genType>(10)) + one<genType>();
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType elasticEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return std::sin(static_cast<genType>(13) * half_pi<genType>() * a) * glm::pow(static_cast<genType>(2), static_cast<genType>(10) * (a - one<genType>()));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType elasticEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return std::sin(-static_cast<genType>(13) * half_pi<genType>() * (a + one<genType>())) * glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * a) + one<genType>();
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType elasticEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(0.5))
+ return static_cast<genType>(0.5) * std::sin(static_cast<genType>(13) * half_pi<genType>() * (static_cast<genType>(2) * a)) * glm::pow(static_cast<genType>(2), static_cast<genType>(10) * ((static_cast<genType>(2) * a) - one<genType>()));
+ else
+ return static_cast<genType>(0.5) * (std::sin(-static_cast<genType>(13) * half_pi<genType>() * ((static_cast<genType>(2) * a - one<genType>()) + one<genType>())) * glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * (static_cast<genType>(2) * a - one<genType>())) + static_cast<genType>(2));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType backEaseIn(genType const& a, genType const& o)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ genType z = ((o + one<genType>()) * a) - o;
+ return (a * a * z);
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType backEaseOut(genType const& a, genType const& o)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ genType n = a - one<genType>();
+ genType z = ((o + one<genType>()) * n) + o;
+ return (n * n * z) + one<genType>();
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType backEaseInOut(genType const& a, genType const& o)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ genType s = o * static_cast<genType>(1.525);
+ genType x = static_cast<genType>(0.5);
+ genType n = a / static_cast<genType>(0.5);
+
+ if (n < static_cast<genType>(1))
+ {
+ genType z = ((s + static_cast<genType>(1)) * n) - s;
+ genType m = n * n * z;
+ return x * m;
+ }
+ else
+ {
+ n -= static_cast<genType>(2);
+ genType z = ((s + static_cast<genType>(1)) * n) + s;
+ genType m = (n*n*z) + static_cast<genType>(2);
+ return x * m;
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType backEaseIn(genType const& a)
+ {
+ return backEaseIn(a, static_cast<genType>(1.70158));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType backEaseOut(genType const& a)
+ {
+ return backEaseOut(a, static_cast<genType>(1.70158));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType backEaseInOut(genType const& a)
+ {
+ return backEaseInOut(a, static_cast<genType>(1.70158));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType bounceEaseOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(4.0 / 11.0))
+ {
+ return (static_cast<genType>(121) * a * a) / static_cast<genType>(16);
+ }
+ else if(a < static_cast<genType>(8.0 / 11.0))
+ {
+ return (static_cast<genType>(363.0 / 40.0) * a * a) - (static_cast<genType>(99.0 / 10.0) * a) + static_cast<genType>(17.0 / 5.0);
+ }
+ else if(a < static_cast<genType>(9.0 / 10.0))
+ {
+ return (static_cast<genType>(4356.0 / 361.0) * a * a) - (static_cast<genType>(35442.0 / 1805.0) * a) + static_cast<genType>(16061.0 / 1805.0);
+ }
+ else
+ {
+ return (static_cast<genType>(54.0 / 5.0) * a * a) - (static_cast<genType>(513.0 / 25.0) * a) + static_cast<genType>(268.0 / 25.0);
+ }
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType bounceEaseIn(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ return one<genType>() - bounceEaseOut(one<genType>() - a);
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType bounceEaseInOut(genType const& a)
+ {
+ // Only defined in [0, 1]
+ assert(a >= zero<genType>());
+ assert(a <= one<genType>());
+
+ if(a < static_cast<genType>(0.5))
+ {
+ return static_cast<genType>(0.5) * (one<genType>() - bounceEaseOut(a * static_cast<genType>(2)));
+ }
+ else
+ {
+ return static_cast<genType>(0.5) * bounceEaseOut(a * static_cast<genType>(2) - one<genType>()) + static_cast<genType>(0.5);
+ }
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/euler_angles.hpp b/src/include/glm/gtx/euler_angles.hpp
new file mode 100644
index 0000000..88639c3
--- /dev/null
+++ b/src/include/glm/gtx/euler_angles.hpp
@@ -0,0 +1,335 @@
+/// @ref gtx_euler_angles
+/// @file glm/gtx/euler_angles.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_euler_angles GLM_GTX_euler_angles
+/// @ingroup gtx
+///
+/// Include <glm/gtx/euler_angles.hpp> to use the features of this extension.
+///
+/// Build matrices from Euler angles.
+///
+/// Extraction of Euler angles from rotation matrix.
+/// Based on the original paper 2014 Mike Day - Extracting Euler Angles from a Rotation Matrix.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_euler_angles is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_euler_angles extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_euler_angles
+ /// @{
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle X.
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleX(
+ T const& angleX);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Y.
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleY(
+ T const& angleY);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Z.
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleZ(
+ T const& angleZ);
+
+ /// Creates a 3D 4 * 4 homogeneous derived matrix from the rotation matrix about X-axis.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> derivedEulerAngleX(
+ T const & angleX, T const & angularVelocityX);
+
+ /// Creates a 3D 4 * 4 homogeneous derived matrix from the rotation matrix about Y-axis.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> derivedEulerAngleY(
+ T const & angleY, T const & angularVelocityY);
+
+ /// Creates a 3D 4 * 4 homogeneous derived matrix from the rotation matrix about Z-axis.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> derivedEulerAngleZ(
+ T const & angleZ, T const & angularVelocityZ);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleXY(
+ T const& angleX,
+ T const& angleY);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleYX(
+ T const& angleY,
+ T const& angleX);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleXZ(
+ T const& angleX,
+ T const& angleZ);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleZX(
+ T const& angle,
+ T const& angleX);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleYZ(
+ T const& angleY,
+ T const& angleZ);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleZY(
+ T const& angleZ,
+ T const& angleY);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y * Z).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleXYZ(
+ T const& t1,
+ T const& t2,
+ T const& t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleYXZ(
+ T const& yaw,
+ T const& pitch,
+ T const& roll);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z * X).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleXZX(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y * X).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleXYX(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Y).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleYXY(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z * Y).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleYZY(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y * Z).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleZYZ(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X * Z).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleZXZ(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z * Y).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleXZY(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z * X).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleYZX(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y * X).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleZYX(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X * Y).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> eulerAngleZXY(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<4, 4, T, defaultp> yawPitchRoll(
+ T const& yaw,
+ T const& pitch,
+ T const& roll);
+
+ /// Creates a 2D 2 * 2 rotation matrix from an euler angle.
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<2, 2, T, defaultp> orientate2(T const& angle);
+
+ /// Creates a 2D 4 * 4 homogeneous rotation matrix from an euler angle.
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL mat<3, 3, T, defaultp> orientate3(T const& angle);
+
+ /// Creates a 3D 3 * 3 rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> orientate3(vec<3, T, Q> const& angles);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> orientate4(vec<3, T, Q> const& angles);
+
+ /// Extracts the (X * Y * Z) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template<typename T>
+ GLM_FUNC_DECL void extractEulerAngleXYZ(mat<4, 4, T, defaultp> const& M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Y * X * Z) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleYXZ(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (X * Z * X) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleXZX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (X * Y * X) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleXYX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Y * X * Y) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleYXY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Y * Z * Y) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleYZY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Z * Y * Z) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleZYZ(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Z * X * Z) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleZXZ(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (X * Z * Y) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleXZY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Y * Z * X) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleYZX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Z * Y * X) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleZYX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// Extracts the (Z * X * Y) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleZXY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// @}
+}//namespace glm
+
+#include "euler_angles.inl"
diff --git a/src/include/glm/gtx/euler_angles.inl b/src/include/glm/gtx/euler_angles.inl
new file mode 100644
index 0000000..d9f672b
--- /dev/null
+++ b/src/include/glm/gtx/euler_angles.inl
@@ -0,0 +1,899 @@
+/// @ref gtx_euler_angles
+
+#include "compatibility.hpp" // glm::atan2
+
+namespace glm
+{
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleX
+ (
+ T const& angleX
+ )
+ {
+ T cosX = glm::cos(angleX);
+ T sinX = glm::sin(angleX);
+
+ return mat<4, 4, T, defaultp>(
+ T(1), T(0), T(0), T(0),
+ T(0), cosX, sinX, T(0),
+ T(0),-sinX, cosX, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleY
+ (
+ T const& angleY
+ )
+ {
+ T cosY = glm::cos(angleY);
+ T sinY = glm::sin(angleY);
+
+ return mat<4, 4, T, defaultp>(
+ cosY, T(0), -sinY, T(0),
+ T(0), T(1), T(0), T(0),
+ sinY, T(0), cosY, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZ
+ (
+ T const& angleZ
+ )
+ {
+ T cosZ = glm::cos(angleZ);
+ T sinZ = glm::sin(angleZ);
+
+ return mat<4, 4, T, defaultp>(
+ cosZ, sinZ, T(0), T(0),
+ -sinZ, cosZ, T(0), T(0),
+ T(0), T(0), T(1), T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> derivedEulerAngleX
+ (
+ T const & angleX,
+ T const & angularVelocityX
+ )
+ {
+ T cosX = glm::cos(angleX) * angularVelocityX;
+ T sinX = glm::sin(angleX) * angularVelocityX;
+
+ return mat<4, 4, T, defaultp>(
+ T(0), T(0), T(0), T(0),
+ T(0),-sinX, cosX, T(0),
+ T(0),-cosX,-sinX, T(0),
+ T(0), T(0), T(0), T(0));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> derivedEulerAngleY
+ (
+ T const & angleY,
+ T const & angularVelocityY
+ )
+ {
+ T cosY = glm::cos(angleY) * angularVelocityY;
+ T sinY = glm::sin(angleY) * angularVelocityY;
+
+ return mat<4, 4, T, defaultp>(
+ -sinY, T(0), -cosY, T(0),
+ T(0), T(0), T(0), T(0),
+ cosY, T(0), -sinY, T(0),
+ T(0), T(0), T(0), T(0));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> derivedEulerAngleZ
+ (
+ T const & angleZ,
+ T const & angularVelocityZ
+ )
+ {
+ T cosZ = glm::cos(angleZ) * angularVelocityZ;
+ T sinZ = glm::sin(angleZ) * angularVelocityZ;
+
+ return mat<4, 4, T, defaultp>(
+ -sinZ, cosZ, T(0), T(0),
+ -cosZ, -sinZ, T(0), T(0),
+ T(0), T(0), T(0), T(0),
+ T(0), T(0), T(0), T(0));
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXY
+ (
+ T const& angleX,
+ T const& angleY
+ )
+ {
+ T cosX = glm::cos(angleX);
+ T sinX = glm::sin(angleX);
+ T cosY = glm::cos(angleY);
+ T sinY = glm::sin(angleY);
+
+ return mat<4, 4, T, defaultp>(
+ cosY, -sinX * -sinY, cosX * -sinY, T(0),
+ T(0), cosX, sinX, T(0),
+ sinY, -sinX * cosY, cosX * cosY, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYX
+ (
+ T const& angleY,
+ T const& angleX
+ )
+ {
+ T cosX = glm::cos(angleX);
+ T sinX = glm::sin(angleX);
+ T cosY = glm::cos(angleY);
+ T sinY = glm::sin(angleY);
+
+ return mat<4, 4, T, defaultp>(
+ cosY, 0, -sinY, T(0),
+ sinY * sinX, cosX, cosY * sinX, T(0),
+ sinY * cosX, -sinX, cosY * cosX, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXZ
+ (
+ T const& angleX,
+ T const& angleZ
+ )
+ {
+ return eulerAngleX(angleX) * eulerAngleZ(angleZ);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZX
+ (
+ T const& angleZ,
+ T const& angleX
+ )
+ {
+ return eulerAngleZ(angleZ) * eulerAngleX(angleX);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYZ
+ (
+ T const& angleY,
+ T const& angleZ
+ )
+ {
+ return eulerAngleY(angleY) * eulerAngleZ(angleZ);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZY
+ (
+ T const& angleZ,
+ T const& angleY
+ )
+ {
+ return eulerAngleZ(angleZ) * eulerAngleY(angleY);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXYZ
+ (
+ T const& t1,
+ T const& t2,
+ T const& t3
+ )
+ {
+ T c1 = glm::cos(-t1);
+ T c2 = glm::cos(-t2);
+ T c3 = glm::cos(-t3);
+ T s1 = glm::sin(-t1);
+ T s2 = glm::sin(-t2);
+ T s3 = glm::sin(-t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c2 * c3;
+ Result[0][1] =-c1 * s3 + s1 * s2 * c3;
+ Result[0][2] = s1 * s3 + c1 * s2 * c3;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = c2 * s3;
+ Result[1][1] = c1 * c3 + s1 * s2 * s3;
+ Result[1][2] =-s1 * c3 + c1 * s2 * s3;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] =-s2;
+ Result[2][1] = s1 * c2;
+ Result[2][2] = c1 * c2;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYXZ
+ (
+ T const& yaw,
+ T const& pitch,
+ T const& roll
+ )
+ {
+ T tmp_ch = glm::cos(yaw);
+ T tmp_sh = glm::sin(yaw);
+ T tmp_cp = glm::cos(pitch);
+ T tmp_sp = glm::sin(pitch);
+ T tmp_cb = glm::cos(roll);
+ T tmp_sb = glm::sin(roll);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
+ Result[0][1] = tmp_sb * tmp_cp;
+ Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
+ Result[1][1] = tmp_cb * tmp_cp;
+ Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = tmp_sh * tmp_cp;
+ Result[2][1] = -tmp_sp;
+ Result[2][2] = tmp_ch * tmp_cp;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXZX
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c2;
+ Result[0][1] = c1 * s2;
+ Result[0][2] = s1 * s2;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] =-c3 * s2;
+ Result[1][1] = c1 * c2 * c3 - s1 * s3;
+ Result[1][2] = c1 * s3 + c2 * c3 * s1;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = s2 * s3;
+ Result[2][1] =-c3 * s1 - c1 * c2 * s3;
+ Result[2][2] = c1 * c3 - c2 * s1 * s3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXYX
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c2;
+ Result[0][1] = s1 * s2;
+ Result[0][2] =-c1 * s2;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = s2 * s3;
+ Result[1][1] = c1 * c3 - c2 * s1 * s3;
+ Result[1][2] = c3 * s1 + c1 * c2 * s3;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = c3 * s2;
+ Result[2][1] =-c1 * s3 - c2 * c3 * s1;
+ Result[2][2] = c1 * c2 * c3 - s1 * s3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYXY
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c1 * c3 - c2 * s1 * s3;
+ Result[0][1] = s2* s3;
+ Result[0][2] =-c3 * s1 - c1 * c2 * s3;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = s1 * s2;
+ Result[1][1] = c2;
+ Result[1][2] = c1 * s2;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = c1 * s3 + c2 * c3 * s1;
+ Result[2][1] =-c3 * s2;
+ Result[2][2] = c1 * c2 * c3 - s1 * s3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYZY
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c1 * c2 * c3 - s1 * s3;
+ Result[0][1] = c3 * s2;
+ Result[0][2] =-c1 * s3 - c2 * c3 * s1;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] =-c1 * s2;
+ Result[1][1] = c2;
+ Result[1][2] = s1 * s2;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = c3 * s1 + c1 * c2 * s3;
+ Result[2][1] = s2 * s3;
+ Result[2][2] = c1 * c3 - c2 * s1 * s3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZYZ
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c1 * c2 * c3 - s1 * s3;
+ Result[0][1] = c1 * s3 + c2 * c3 * s1;
+ Result[0][2] =-c3 * s2;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] =-c3 * s1 - c1 * c2 * s3;
+ Result[1][1] = c1 * c3 - c2 * s1 * s3;
+ Result[1][2] = s2 * s3;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = c1 * s2;
+ Result[2][1] = s1 * s2;
+ Result[2][2] = c2;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZXZ
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c1 * c3 - c2 * s1 * s3;
+ Result[0][1] = c3 * s1 + c1 * c2 * s3;
+ Result[0][2] = s2 *s3;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] =-c1 * s3 - c2 * c3 * s1;
+ Result[1][1] = c1 * c2 * c3 - s1 * s3;
+ Result[1][2] = c3 * s2;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = s1 * s2;
+ Result[2][1] =-c1 * s2;
+ Result[2][2] = c2;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleXZY
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c2 * c3;
+ Result[0][1] = s1 * s3 + c1 * c3 * s2;
+ Result[0][2] = c3 * s1 * s2 - c1 * s3;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] =-s2;
+ Result[1][1] = c1 * c2;
+ Result[1][2] = c2 * s1;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = c2 * s3;
+ Result[2][1] = c1 * s2 * s3 - c3 * s1;
+ Result[2][2] = c1 * c3 + s1 * s2 *s3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleYZX
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c1 * c2;
+ Result[0][1] = s2;
+ Result[0][2] =-c2 * s1;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = s1 * s3 - c1 * c3 * s2;
+ Result[1][1] = c2 * c3;
+ Result[1][2] = c1 * s3 + c3 * s1 * s2;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = c3 * s1 + c1 * s2 * s3;
+ Result[2][1] =-c2 * s3;
+ Result[2][2] = c1 * c3 - s1 * s2 * s3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZYX
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c1 * c2;
+ Result[0][1] = c2 * s1;
+ Result[0][2] =-s2;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = c1 * s2 * s3 - c3 * s1;
+ Result[1][1] = c1 * c3 + s1 * s2 * s3;
+ Result[1][2] = c2 * s3;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = s1 * s3 + c1 * c3 * s2;
+ Result[2][1] = c3 * s1 * s2 - c1 * s3;
+ Result[2][2] = c2 * c3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> eulerAngleZXY
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(t1);
+ T s1 = glm::sin(t1);
+ T c2 = glm::cos(t2);
+ T s2 = glm::sin(t2);
+ T c3 = glm::cos(t3);
+ T s3 = glm::sin(t3);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = c1 * c3 - s1 * s2 * s3;
+ Result[0][1] = c3 * s1 + c1 * s2 * s3;
+ Result[0][2] =-c2 * s3;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] =-c2 * s1;
+ Result[1][1] = c1 * c2;
+ Result[1][2] = s2;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = c1 * s3 + c3 * s1 * s2;
+ Result[2][1] = s1 * s3 - c1 * c3 * s2;
+ Result[2][2] = c2 * c3;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> yawPitchRoll
+ (
+ T const& yaw,
+ T const& pitch,
+ T const& roll
+ )
+ {
+ T tmp_ch = glm::cos(yaw);
+ T tmp_sh = glm::sin(yaw);
+ T tmp_cp = glm::cos(pitch);
+ T tmp_sp = glm::sin(pitch);
+ T tmp_cb = glm::cos(roll);
+ T tmp_sb = glm::sin(roll);
+
+ mat<4, 4, T, defaultp> Result;
+ Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
+ Result[0][1] = tmp_sb * tmp_cp;
+ Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
+ Result[1][1] = tmp_cb * tmp_cp;
+ Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = tmp_sh * tmp_cp;
+ Result[2][1] = -tmp_sp;
+ Result[2][2] = tmp_ch * tmp_cp;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<2, 2, T, defaultp> orientate2
+ (
+ T const& angle
+ )
+ {
+ T c = glm::cos(angle);
+ T s = glm::sin(angle);
+
+ mat<2, 2, T, defaultp> Result;
+ Result[0][0] = c;
+ Result[0][1] = s;
+ Result[1][0] = -s;
+ Result[1][1] = c;
+ return Result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, defaultp> orientate3
+ (
+ T const& angle
+ )
+ {
+ T c = glm::cos(angle);
+ T s = glm::sin(angle);
+
+ mat<3, 3, T, defaultp> Result;
+ Result[0][0] = c;
+ Result[0][1] = s;
+ Result[0][2] = 0.0f;
+ Result[1][0] = -s;
+ Result[1][1] = c;
+ Result[1][2] = 0.0f;
+ Result[2][0] = 0.0f;
+ Result[2][1] = 0.0f;
+ Result[2][2] = 1.0f;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> orientate3
+ (
+ vec<3, T, Q> const& angles
+ )
+ {
+ return mat<3, 3, T, Q>(yawPitchRoll(angles.z, angles.x, angles.y));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> orientate4
+ (
+ vec<3, T, Q> const& angles
+ )
+ {
+ return yawPitchRoll(angles.z, angles.x, angles.y);
+ }
+
+ template<typename T>
+ GLM_FUNC_DECL void extractEulerAngleXYZ(mat<4, 4, T, defaultp> const& M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[2][1], M[2][2]);
+ T C2 = glm::sqrt(M[0][0]*M[0][0] + M[1][0]*M[1][0]);
+ T T2 = glm::atan2<T, defaultp>(-M[2][0], C2);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(S1*M[0][2] - C1*M[0][1], C1*M[1][1] - S1*M[1][2 ]);
+ t1 = -T1;
+ t2 = -T2;
+ t3 = -T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleYXZ(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[2][0], M[2][2]);
+ T C2 = glm::sqrt(M[0][1]*M[0][1] + M[1][1]*M[1][1]);
+ T T2 = glm::atan2<T, defaultp>(-M[2][1], C2);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(S1*M[1][2] - C1*M[1][0], C1*M[0][0] - S1*M[0][2]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleXZX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[0][2], M[0][1]);
+ T S2 = glm::sqrt(M[1][0]*M[1][0] + M[2][0]*M[2][0]);
+ T T2 = glm::atan2<T, defaultp>(S2, M[0][0]);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(C1*M[1][2] - S1*M[1][1], C1*M[2][2] - S1*M[2][1]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleXYX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[0][1], -M[0][2]);
+ T S2 = glm::sqrt(M[1][0]*M[1][0] + M[2][0]*M[2][0]);
+ T T2 = glm::atan2<T, defaultp>(S2, M[0][0]);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(-C1*M[2][1] - S1*M[2][2], C1*M[1][1] + S1*M[1][2]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleYXY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[1][0], M[1][2]);
+ T S2 = glm::sqrt(M[0][1]*M[0][1] + M[2][1]*M[2][1]);
+ T T2 = glm::atan2<T, defaultp>(S2, M[1][1]);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(C1*M[2][0] - S1*M[2][2], C1*M[0][0] - S1*M[0][2]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleYZY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[1][2], -M[1][0]);
+ T S2 = glm::sqrt(M[0][1]*M[0][1] + M[2][1]*M[2][1]);
+ T T2 = glm::atan2<T, defaultp>(S2, M[1][1]);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(-S1*M[0][0] - C1*M[0][2], S1*M[2][0] + C1*M[2][2]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleZYZ(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[2][1], M[2][0]);
+ T S2 = glm::sqrt(M[0][2]*M[0][2] + M[1][2]*M[1][2]);
+ T T2 = glm::atan2<T, defaultp>(S2, M[2][2]);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(C1*M[0][1] - S1*M[0][0], C1*M[1][1] - S1*M[1][0]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleZXZ(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[2][0], -M[2][1]);
+ T S2 = glm::sqrt(M[0][2]*M[0][2] + M[1][2]*M[1][2]);
+ T T2 = glm::atan2<T, defaultp>(S2, M[2][2]);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(-C1*M[1][0] - S1*M[1][1], C1*M[0][0] + S1*M[0][1]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleXZY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[1][2], M[1][1]);
+ T C2 = glm::sqrt(M[0][0]*M[0][0] + M[2][0]*M[2][0]);
+ T T2 = glm::atan2<T, defaultp>(-M[1][0], C2);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(S1*M[0][1] - C1*M[0][2], C1*M[2][2] - S1*M[2][1]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleYZX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(-M[0][2], M[0][0]);
+ T C2 = glm::sqrt(M[1][1]*M[1][1] + M[2][1]*M[2][1]);
+ T T2 = glm::atan2<T, defaultp>(M[0][1], C2);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(S1*M[1][0] + C1*M[1][2], S1*M[2][0] + C1*M[2][2]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleZYX(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(M[0][1], M[0][0]);
+ T C2 = glm::sqrt(M[1][2]*M[1][2] + M[2][2]*M[2][2]);
+ T T2 = glm::atan2<T, defaultp>(-M[0][2], C2);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(S1*M[2][0] - C1*M[2][1], C1*M[1][1] - S1*M[1][0]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER void extractEulerAngleZXY(mat<4, 4, T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ T T1 = glm::atan2<T, defaultp>(-M[1][0], M[1][1]);
+ T C2 = glm::sqrt(M[0][2]*M[0][2] + M[2][2]*M[2][2]);
+ T T2 = glm::atan2<T, defaultp>(M[1][2], C2);
+ T S1 = glm::sin(T1);
+ T C1 = glm::cos(T1);
+ T T3 = glm::atan2<T, defaultp>(C1*M[2][0] + S1*M[2][1], C1*M[0][0] + S1*M[0][1]);
+ t1 = T1;
+ t2 = T2;
+ t3 = T3;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/extend.hpp b/src/include/glm/gtx/extend.hpp
new file mode 100644
index 0000000..6352dda
--- /dev/null
+++ b/src/include/glm/gtx/extend.hpp
@@ -0,0 +1,42 @@
+/// @ref gtx_extend
+/// @file glm/gtx/extend.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_extend GLM_GTX_extend
+/// @ingroup gtx
+///
+/// Include <glm/gtx/extend.hpp> to use the features of this extension.
+///
+/// Extend a position from a source to a position at a defined length.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_extend is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_extend extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_extend
+ /// @{
+
+ /// Extends of Length the Origin position using the (Source - Origin) direction.
+ /// @see gtx_extend
+ template<typename genType>
+ GLM_FUNC_DECL genType extend(
+ genType const& Origin,
+ genType const& Source,
+ typename genType::value_type const Length);
+
+ /// @}
+}//namespace glm
+
+#include "extend.inl"
diff --git a/src/include/glm/gtx/extend.inl b/src/include/glm/gtx/extend.inl
new file mode 100644
index 0000000..0f7c01e
--- /dev/null
+++ b/src/include/glm/gtx/extend.inl
@@ -0,0 +1,48 @@
+/// @ref gtx_extend
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType extend
+ (
+ genType const& Origin,
+ genType const& Source,
+ genType const& Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<2, T, Q> extend
+ (
+ vec<2, T, Q> const& Origin,
+ vec<2, T, Q> const& Source,
+ T const& Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> extend
+ (
+ vec<3, T, Q> const& Origin,
+ vec<3, T, Q> const& Source,
+ T const& Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> extend
+ (
+ vec<4, T, Q> const& Origin,
+ vec<4, T, Q> const& Source,
+ T const& Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/extended_min_max.hpp b/src/include/glm/gtx/extended_min_max.hpp
new file mode 100644
index 0000000..23e24e9
--- /dev/null
+++ b/src/include/glm/gtx/extended_min_max.hpp
@@ -0,0 +1,137 @@
+/// @ref gtx_extended_min_max
+/// @file glm/gtx/extended_min_max.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_extended_min_max GLM_GTX_extented_min_max
+/// @ingroup gtx
+///
+/// Include <glm/gtx/extented_min_max.hpp> to use the features of this extension.
+///
+/// Min and max functions for 3 to 4 parameters.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../ext/vector_common.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_extented_min_max is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_extented_min_max extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_extended_min_max
+ /// @{
+
+ /// Return the minimum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template<typename T>
+ GLM_FUNC_DECL T min(
+ T const& x,
+ T const& y,
+ T const& z);
+
+ /// Return the minimum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z);
+
+ /// Return the minimum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z);
+
+ /// Return the minimum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template<typename T>
+ GLM_FUNC_DECL T min(
+ T const& x,
+ T const& y,
+ T const& z,
+ T const& w);
+
+ /// Return the minimum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z,
+ typename C<T>::T const& w);
+
+ /// Return the minimum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z,
+ C<T> const& w);
+
+ /// Return the maximum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template<typename T>
+ GLM_FUNC_DECL T max(
+ T const& x,
+ T const& y,
+ T const& z);
+
+ /// Return the maximum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z);
+
+ /// Return the maximum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z);
+
+ /// Return the maximum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template<typename T>
+ GLM_FUNC_DECL T max(
+ T const& x,
+ T const& y,
+ T const& z,
+ T const& w);
+
+ /// Return the maximum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z,
+ typename C<T>::T const& w);
+
+ /// Return the maximum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template<typename T, template<typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z,
+ C<T> const& w);
+
+ /// @}
+}//namespace glm
+
+#include "extended_min_max.inl"
diff --git a/src/include/glm/gtx/extended_min_max.inl b/src/include/glm/gtx/extended_min_max.inl
new file mode 100644
index 0000000..c663b7d
--- /dev/null
+++ b/src/include/glm/gtx/extended_min_max.inl
@@ -0,0 +1,138 @@
+/// @ref gtx_extended_min_max
+
+namespace glm
+{
+ template<typename T>
+ GLM_FUNC_QUALIFIER T min(
+ T const& x,
+ T const& y,
+ T const& z)
+ {
+ return glm::min(glm::min(x, y), z);
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z
+ )
+ {
+ return glm::min(glm::min(x, y), z);
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z
+ )
+ {
+ return glm::min(glm::min(x, y), z);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER T min
+ (
+ T const& x,
+ T const& y,
+ T const& z,
+ T const& w
+ )
+ {
+ return glm::min(glm::min(x, y), glm::min(z, w));
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z,
+ typename C<T>::T const& w
+ )
+ {
+ return glm::min(glm::min(x, y), glm::min(z, w));
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z,
+ C<T> const& w
+ )
+ {
+ return glm::min(glm::min(x, y), glm::min(z, w));
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER T max(
+ T const& x,
+ T const& y,
+ T const& z)
+ {
+ return glm::max(glm::max(x, y), z);
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z
+ )
+ {
+ return glm::max(glm::max(x, y), z);
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z
+ )
+ {
+ return glm::max(glm::max(x, y), z);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER T max
+ (
+ T const& x,
+ T const& y,
+ T const& z,
+ T const& w
+ )
+ {
+ return glm::max(glm::max(x, y), glm::max(z, w));
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const& x,
+ typename C<T>::T const& y,
+ typename C<T>::T const& z,
+ typename C<T>::T const& w
+ )
+ {
+ return glm::max(glm::max(x, y), glm::max(z, w));
+ }
+
+ template<typename T, template<typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const& x,
+ C<T> const& y,
+ C<T> const& z,
+ C<T> const& w
+ )
+ {
+ return glm::max(glm::max(x, y), glm::max(z, w));
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/exterior_product.hpp b/src/include/glm/gtx/exterior_product.hpp
new file mode 100644
index 0000000..cc41fa8
--- /dev/null
+++ b/src/include/glm/gtx/exterior_product.hpp
@@ -0,0 +1,45 @@
+/// @ref gtx_exterior_product
+/// @file glm/gtx/exterior_product.hpp
+///
+/// @see core (dependence)
+/// @see gtx_exterior_product (dependence)
+///
+/// @defgroup gtx_exterior_product GLM_GTX_exterior_product
+/// @ingroup gtx
+///
+/// Include <glm/gtx/exterior_product.hpp> to use the features of this extension.
+///
+/// @brief Allow to perform bit operations on integer values
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+#include "../detail/qualifier.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_exterior_product is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_exterior_product extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_exterior_product
+ /// @{
+
+ /// Returns the cross product of x and y.
+ ///
+ /// @tparam T Floating-point scalar types
+ /// @tparam Q Value from qualifier enum
+ ///
+ /// @see <a href="https://en.wikipedia.org/wiki/Exterior_algebra#Cross_and_triple_products">Exterior product</a>
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T cross(vec<2, T, Q> const& v, vec<2, T, Q> const& u);
+
+ /// @}
+} //namespace glm
+
+#include "exterior_product.inl"
diff --git a/src/include/glm/gtx/exterior_product.inl b/src/include/glm/gtx/exterior_product.inl
new file mode 100644
index 0000000..82dc4aa
--- /dev/null
+++ b/src/include/glm/gtx/exterior_product.inl
@@ -0,0 +1,26 @@
+/// @ref gtx_exterior_product
+
+#include <limits>
+
+namespace glm {
+namespace detail
+{
+ template<typename T, qualifier Q, bool Aligned>
+ struct compute_cross_vec2
+ {
+ GLM_FUNC_QUALIFIER static T call(vec<2, T, Q> const& v, vec<2, T, Q> const& u)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'cross' accepts only floating-point inputs");
+
+ return v.x * u.y - u.x * v.y;
+ }
+ };
+}//namespace detail
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T cross(vec<2, T, Q> const& x, vec<2, T, Q> const& y)
+ {
+ return detail::compute_cross_vec2<T, Q, detail::is_aligned<Q>::value>::call(x, y);
+ }
+}//namespace glm
+
diff --git a/src/include/glm/gtx/fast_exponential.hpp b/src/include/glm/gtx/fast_exponential.hpp
new file mode 100644
index 0000000..32f8b0f
--- /dev/null
+++ b/src/include/glm/gtx/fast_exponential.hpp
@@ -0,0 +1,95 @@
+/// @ref gtx_fast_exponential
+/// @file glm/gtx/fast_exponential.hpp
+///
+/// @see core (dependence)
+/// @see gtx_half_float (dependence)
+///
+/// @defgroup gtx_fast_exponential GLM_GTX_fast_exponential
+/// @ingroup gtx
+///
+/// Include <glm/gtx/fast_exponential.hpp> to use the features of this extension.
+///
+/// Fast but less accurate implementations of exponential based functions.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_fast_exponential is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_fast_exponential extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_fast_exponential
+ /// @{
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template<typename genType>
+ GLM_FUNC_DECL genType fastPow(genType x, genType y);
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastPow(vec<L, T, Q> const& x, vec<L, T, Q> const& y);
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template<typename genTypeT, typename genTypeU>
+ GLM_FUNC_DECL genTypeT fastPow(genTypeT x, genTypeU y);
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastPow(vec<L, T, Q> const& x);
+
+ /// Faster than the common exp function but less accurate.
+ /// @see gtx_fast_exponential
+ template<typename T>
+ GLM_FUNC_DECL T fastExp(T x);
+
+ /// Faster than the common exp function but less accurate.
+ /// @see gtx_fast_exponential
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastExp(vec<L, T, Q> const& x);
+
+ /// Faster than the common log function but less accurate.
+ /// @see gtx_fast_exponential
+ template<typename T>
+ GLM_FUNC_DECL T fastLog(T x);
+
+ /// Faster than the common exp2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastLog(vec<L, T, Q> const& x);
+
+ /// Faster than the common exp2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template<typename T>
+ GLM_FUNC_DECL T fastExp2(T x);
+
+ /// Faster than the common exp2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastExp2(vec<L, T, Q> const& x);
+
+ /// Faster than the common log2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template<typename T>
+ GLM_FUNC_DECL T fastLog2(T x);
+
+ /// Faster than the common log2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastLog2(vec<L, T, Q> const& x);
+
+ /// @}
+}//namespace glm
+
+#include "fast_exponential.inl"
diff --git a/src/include/glm/gtx/fast_exponential.inl b/src/include/glm/gtx/fast_exponential.inl
new file mode 100644
index 0000000..c2146d8
--- /dev/null
+++ b/src/include/glm/gtx/fast_exponential.inl
@@ -0,0 +1,136 @@
+/// @ref gtx_fast_exponential
+
+namespace glm
+{
+ // fastPow:
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastPow(genType x, genType y)
+ {
+ return exp(y * log(x));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastPow(vec<L, T, Q> const& x, vec<L, T, Q> const& y)
+ {
+ return exp(y * log(x));
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastPow(T x, int y)
+ {
+ T f = static_cast<T>(1);
+ for(int i = 0; i < y; ++i)
+ f *= x;
+ return f;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastPow(vec<L, T, Q> const& x, vec<L, int, Q> const& y)
+ {
+ vec<L, T, Q> Result;
+ for(length_t i = 0, n = x.length(); i < n; ++i)
+ Result[i] = fastPow(x[i], y[i]);
+ return Result;
+ }
+
+ // fastExp
+ // Note: This function provides accurate results only for value between -1 and 1, else avoid it.
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastExp(T x)
+ {
+ // This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
+ // return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
+ T x2 = x * x;
+ T x3 = x2 * x;
+ T x4 = x3 * x;
+ T x5 = x4 * x;
+ return T(1) + x + (x2 * T(0.5)) + (x3 * T(0.1666666667)) + (x4 * T(0.041666667)) + (x5 * T(0.008333333333));
+ }
+ /* // Try to handle all values of float... but often shower than std::exp, glm::floor and the loop kill the performance
+ GLM_FUNC_QUALIFIER float fastExp(float x)
+ {
+ const float e = 2.718281828f;
+ const float IntegerPart = floor(x);
+ const float FloatPart = x - IntegerPart;
+ float z = 1.f;
+
+ for(int i = 0; i < int(IntegerPart); ++i)
+ z *= e;
+
+ const float x2 = FloatPart * FloatPart;
+ const float x3 = x2 * FloatPart;
+ const float x4 = x3 * FloatPart;
+ const float x5 = x4 * FloatPart;
+ return z * (1.0f + FloatPart + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f));
+ }
+
+ // Increase accuracy on number bigger that 1 and smaller than -1 but it's not enough for high and negative numbers
+ GLM_FUNC_QUALIFIER float fastExp(float x)
+ {
+ // This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
+ // return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
+ float x2 = x * x;
+ float x3 = x2 * x;
+ float x4 = x3 * x;
+ float x5 = x4 * x;
+ float x6 = x5 * x;
+ float x7 = x6 * x;
+ float x8 = x7 * x;
+ return 1.0f + x + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f)+ (x6 * 0.00138888888888f) + (x7 * 0.000198412698f) + (x8 * 0.0000248015873f);;
+ }
+ */
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastExp(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastExp, x);
+ }
+
+ // fastLog
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastLog(genType x)
+ {
+ return std::log(x);
+ }
+
+ /* Slower than the VC7.1 function...
+ GLM_FUNC_QUALIFIER float fastLog(float x)
+ {
+ float y1 = (x - 1.0f) / (x + 1.0f);
+ float y2 = y1 * y1;
+ return 2.0f * y1 * (1.0f + y2 * (0.3333333333f + y2 * (0.2f + y2 * 0.1428571429f)));
+ }
+ */
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastLog(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastLog, x);
+ }
+
+ //fastExp2, ln2 = 0.69314718055994530941723212145818f
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastExp2(genType x)
+ {
+ return fastExp(0.69314718055994530941723212145818f * x);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastExp2(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastExp2, x);
+ }
+
+ // fastLog2, ln2 = 0.69314718055994530941723212145818f
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastLog2(genType x)
+ {
+ return fastLog(x) / 0.69314718055994530941723212145818f;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastLog2(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastLog2, x);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/fast_square_root.hpp b/src/include/glm/gtx/fast_square_root.hpp
new file mode 100644
index 0000000..be38ee9
--- /dev/null
+++ b/src/include/glm/gtx/fast_square_root.hpp
@@ -0,0 +1,92 @@
+/// @ref gtx_fast_square_root
+/// @file glm/gtx/fast_square_root.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_fast_square_root GLM_GTX_fast_square_root
+/// @ingroup gtx
+///
+/// Include <glm/gtx/fast_square_root.hpp> to use the features of this extension.
+///
+/// Fast but less accurate implementations of square root based functions.
+/// - Sqrt optimisation based on Newton's method,
+/// www.gamedev.net/community/forums/topic.asp?topic id=139956
+
+#pragma once
+
+// Dependency:
+#include "../common.hpp"
+#include "../exponential.hpp"
+#include "../geometric.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_fast_square_root is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_fast_square_root extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_fast_square_root
+ /// @{
+
+ /// Faster than the common sqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType fastSqrt(genType x);
+
+ /// Faster than the common sqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastSqrt(vec<L, T, Q> const& x);
+
+ /// Faster than the common inversesqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType fastInverseSqrt(genType x);
+
+ /// Faster than the common inversesqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> fastInverseSqrt(vec<L, T, Q> const& x);
+
+ /// Faster than the common length function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType fastLength(genType x);
+
+ /// Faster than the common length function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL T fastLength(vec<L, T, Q> const& x);
+
+ /// Faster than the common distance function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType fastDistance(genType x, genType y);
+
+ /// Faster than the common distance function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL T fastDistance(vec<L, T, Q> const& x, vec<L, T, Q> const& y);
+
+ /// Faster than the common normalize function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType fastNormalize(genType const& x);
+
+ /// @}
+}// namespace glm
+
+#include "fast_square_root.inl"
diff --git a/src/include/glm/gtx/fast_square_root.inl b/src/include/glm/gtx/fast_square_root.inl
new file mode 100644
index 0000000..200d18b
--- /dev/null
+++ b/src/include/glm/gtx/fast_square_root.inl
@@ -0,0 +1,75 @@
+/// @ref gtx_fast_square_root
+
+namespace glm
+{
+ // fastSqrt
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastSqrt(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastSqrt' only accept floating-point input");
+
+ return genType(1) / fastInverseSqrt(x);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastSqrt(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastSqrt, x);
+ }
+
+ // fastInversesqrt
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastInverseSqrt(genType x)
+ {
+ return detail::compute_inversesqrt<1, genType, lowp, detail::is_aligned<lowp>::value>::call(vec<1, genType, lowp>(x)).x;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastInverseSqrt(vec<L, T, Q> const& x)
+ {
+ return detail::compute_inversesqrt<L, T, Q, detail::is_aligned<Q>::value>::call(x);
+ }
+
+ // fastLength
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastLength(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+ return abs(x);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T fastLength(vec<L, T, Q> const& x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+ return fastSqrt(dot(x, x));
+ }
+
+ // fastDistance
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastDistance(genType x, genType y)
+ {
+ return fastLength(y - x);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T fastDistance(vec<L, T, Q> const& x, vec<L, T, Q> const& y)
+ {
+ return fastLength(y - x);
+ }
+
+ // fastNormalize
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType fastNormalize(genType x)
+ {
+ return x > genType(0) ? genType(1) : -genType(1);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastNormalize(vec<L, T, Q> const& x)
+ {
+ return x * fastInverseSqrt(dot(x, x));
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/fast_trigonometry.hpp b/src/include/glm/gtx/fast_trigonometry.hpp
new file mode 100644
index 0000000..83d62df
--- /dev/null
+++ b/src/include/glm/gtx/fast_trigonometry.hpp
@@ -0,0 +1,79 @@
+/// @ref gtx_fast_trigonometry
+/// @file glm/gtx/fast_trigonometry.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_fast_trigonometry GLM_GTX_fast_trigonometry
+/// @ingroup gtx
+///
+/// Include <glm/gtx/fast_trigonometry.hpp> to use the features of this extension.
+///
+/// Fast but less accurate implementations of trigonometric functions.
+
+#pragma once
+
+// Dependency:
+#include "../gtc/constants.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_fast_trigonometry is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_fast_trigonometry extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_fast_trigonometry
+ /// @{
+
+ /// Wrap an angle to [0 2pi[
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T wrapAngle(T angle);
+
+ /// Faster than the common sin function but less accurate.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T fastSin(T angle);
+
+ /// Faster than the common cos function but less accurate.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T fastCos(T angle);
+
+ /// Faster than the common tan function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T fastTan(T angle);
+
+ /// Faster than the common asin function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T fastAsin(T angle);
+
+ /// Faster than the common acos function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T fastAcos(T angle);
+
+ /// Faster than the common atan function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T fastAtan(T y, T x);
+
+ /// Faster than the common atan function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template<typename T>
+ GLM_FUNC_DECL T fastAtan(T angle);
+
+ /// @}
+}//namespace glm
+
+#include "fast_trigonometry.inl"
diff --git a/src/include/glm/gtx/fast_trigonometry.inl b/src/include/glm/gtx/fast_trigonometry.inl
new file mode 100644
index 0000000..6bb9237
--- /dev/null
+++ b/src/include/glm/gtx/fast_trigonometry.inl
@@ -0,0 +1,142 @@
+/// @ref gtx_fast_trigonometry
+
+namespace glm{
+namespace detail
+{
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> taylorCos(vec<L, T, Q> const& x)
+ {
+ return static_cast<T>(1)
+ - (x * x) * (1.f / 2.f)
+ + ((x * x) * (x * x)) * (1.f / 24.f)
+ - (((x * x) * (x * x)) * (x * x)) * (1.f / 720.f)
+ + (((x * x) * (x * x)) * ((x * x) * (x * x))) * (1.f / 40320.f);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER T cos_52s(T x)
+ {
+ T const xx(x * x);
+ return (T(0.9999932946) + xx * (T(-0.4999124376) + xx * (T(0.0414877472) + xx * T(-0.0012712095))));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> cos_52s(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(cos_52s, x);
+ }
+}//namespace detail
+
+ // wrapAngle
+ template<typename T>
+ GLM_FUNC_QUALIFIER T wrapAngle(T angle)
+ {
+ return abs<T>(mod<T>(angle, two_pi<T>()));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> wrapAngle(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(wrapAngle, x);
+ }
+
+ // cos
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastCos(T x)
+ {
+ T const angle(wrapAngle<T>(x));
+
+ if(angle < half_pi<T>())
+ return detail::cos_52s(angle);
+ if(angle < pi<T>())
+ return -detail::cos_52s(pi<T>() - angle);
+ if(angle < (T(3) * half_pi<T>()))
+ return -detail::cos_52s(angle - pi<T>());
+
+ return detail::cos_52s(two_pi<T>() - angle);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastCos(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastCos, x);
+ }
+
+ // sin
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastSin(T x)
+ {
+ return fastCos<T>(half_pi<T>() - x);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastSin(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastSin, x);
+ }
+
+ // tan
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastTan(T x)
+ {
+ return x + (x * x * x * T(0.3333333333)) + (x * x * x * x * x * T(0.1333333333333)) + (x * x * x * x * x * x * x * T(0.0539682539));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastTan(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastTan, x);
+ }
+
+ // asin
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastAsin(T x)
+ {
+ return x + (x * x * x * T(0.166666667)) + (x * x * x * x * x * T(0.075)) + (x * x * x * x * x * x * x * T(0.0446428571)) + (x * x * x * x * x * x * x * x * x * T(0.0303819444));// + (x * x * x * x * x * x * x * x * x * x * x * T(0.022372159));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastAsin(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastAsin, x);
+ }
+
+ // acos
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastAcos(T x)
+ {
+ return T(1.5707963267948966192313216916398) - fastAsin(x); //(PI / 2)
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastAcos(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastAcos, x);
+ }
+
+ // atan
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastAtan(T y, T x)
+ {
+ T sgn = sign(y) * sign(x);
+ return abs(fastAtan(y / x)) * sgn;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastAtan(vec<L, T, Q> const& y, vec<L, T, Q> const& x)
+ {
+ return detail::functor2<vec, L, T, Q>::call(fastAtan, y, x);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER T fastAtan(T x)
+ {
+ return x - (x * x * x * T(0.333333333333)) + (x * x * x * x * x * T(0.2)) - (x * x * x * x * x * x * x * T(0.1428571429)) + (x * x * x * x * x * x * x * x * x * T(0.111111111111)) - (x * x * x * x * x * x * x * x * x * x * x * T(0.0909090909));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> fastAtan(vec<L, T, Q> const& x)
+ {
+ return detail::functor1<vec, L, T, T, Q>::call(fastAtan, x);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/float_notmalize.inl b/src/include/glm/gtx/float_notmalize.inl
new file mode 100644
index 0000000..bca18aa
--- /dev/null
+++ b/src/include/glm/gtx/float_notmalize.inl
@@ -0,0 +1,13 @@
+/// @ref gtx_float_normalize
+
+#include <limits>
+
+namespace glm
+{
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, float, Q> floatNormalize(vec<L, T, Q> const& v)
+ {
+ return vec<L, float, Q>(v) / static_cast<float>(std::numeric_limits<T>::max());
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/functions.hpp b/src/include/glm/gtx/functions.hpp
new file mode 100644
index 0000000..cdf7fa1
--- /dev/null
+++ b/src/include/glm/gtx/functions.hpp
@@ -0,0 +1,56 @@
+/// @ref gtx_functions
+/// @file glm/gtx/functions.hpp
+///
+/// @see core (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_functions GLM_GTX_functions
+/// @ingroup gtx
+///
+/// Include <glm/gtx/functions.hpp> to use the features of this extension.
+///
+/// List of useful common functions.
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+#include "../detail/qualifier.hpp"
+#include "../detail/type_vec2.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_functions is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_functions extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_functions
+ /// @{
+
+ /// 1D gauss function
+ ///
+ /// @see gtc_epsilon
+ template<typename T>
+ GLM_FUNC_DECL T gauss(
+ T x,
+ T ExpectedValue,
+ T StandardDeviation);
+
+ /// 2D gauss function
+ ///
+ /// @see gtc_epsilon
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T gauss(
+ vec<2, T, Q> const& Coord,
+ vec<2, T, Q> const& ExpectedValue,
+ vec<2, T, Q> const& StandardDeviation);
+
+ /// @}
+}//namespace glm
+
+#include "functions.inl"
+
diff --git a/src/include/glm/gtx/functions.inl b/src/include/glm/gtx/functions.inl
new file mode 100644
index 0000000..1c357c0
--- /dev/null
+++ b/src/include/glm/gtx/functions.inl
@@ -0,0 +1,30 @@
+/// @ref gtx_functions
+
+#include "../exponential.hpp"
+
+namespace glm
+{
+ template<typename T>
+ GLM_FUNC_QUALIFIER T gauss
+ (
+ T x,
+ T ExpectedValue,
+ T StandardDeviation
+ )
+ {
+ return exp(-((x - ExpectedValue) * (x - ExpectedValue)) / (static_cast<T>(2) * StandardDeviation * StandardDeviation)) / (StandardDeviation * sqrt(static_cast<T>(6.28318530717958647692528676655900576)));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T gauss
+ (
+ vec<2, T, Q> const& Coord,
+ vec<2, T, Q> const& ExpectedValue,
+ vec<2, T, Q> const& StandardDeviation
+ )
+ {
+ vec<2, T, Q> const Squared = ((Coord - ExpectedValue) * (Coord - ExpectedValue)) / (static_cast<T>(2) * StandardDeviation * StandardDeviation);
+ return exp(-(Squared.x + Squared.y));
+ }
+}//namespace glm
+
diff --git a/src/include/glm/gtx/gradient_paint.hpp b/src/include/glm/gtx/gradient_paint.hpp
new file mode 100644
index 0000000..b1eda03
--- /dev/null
+++ b/src/include/glm/gtx/gradient_paint.hpp
@@ -0,0 +1,53 @@
+/// @ref gtx_gradient_paint
+/// @file glm/gtx/gradient_paint.hpp
+///
+/// @see core (dependence)
+/// @see gtx_optimum_pow (dependence)
+///
+/// @defgroup gtx_gradient_paint GLM_GTX_gradient_paint
+/// @ingroup gtx
+///
+/// Include <glm/gtx/gradient_paint.hpp> to use the features of this extension.
+///
+/// Functions that return the color of procedural gradient for specific coordinates.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/optimum_pow.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_gradient_paint is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_gradient_paint extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_gradient_paint
+ /// @{
+
+ /// Return a color from a radial gradient.
+ /// @see - gtx_gradient_paint
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T radialGradient(
+ vec<2, T, Q> const& Center,
+ T const& Radius,
+ vec<2, T, Q> const& Focal,
+ vec<2, T, Q> const& Position);
+
+ /// Return a color from a linear gradient.
+ /// @see - gtx_gradient_paint
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T linearGradient(
+ vec<2, T, Q> const& Point0,
+ vec<2, T, Q> const& Point1,
+ vec<2, T, Q> const& Position);
+
+ /// @}
+}// namespace glm
+
+#include "gradient_paint.inl"
diff --git a/src/include/glm/gtx/gradient_paint.inl b/src/include/glm/gtx/gradient_paint.inl
new file mode 100644
index 0000000..ef9292b
--- /dev/null
+++ b/src/include/glm/gtx/gradient_paint.inl
@@ -0,0 +1,36 @@
+/// @ref gtx_gradient_paint
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T radialGradient
+ (
+ vec<2, T, Q> const& Center,
+ T const& Radius,
+ vec<2, T, Q> const& Focal,
+ vec<2, T, Q> const& Position
+ )
+ {
+ vec<2, T, Q> F = Focal - Center;
+ vec<2, T, Q> D = Position - Focal;
+ T Radius2 = pow2(Radius);
+ T Fx2 = pow2(F.x);
+ T Fy2 = pow2(F.y);
+
+ T Numerator = (D.x * F.x + D.y * F.y) + sqrt(Radius2 * (pow2(D.x) + pow2(D.y)) - pow2(D.x * F.y - D.y * F.x));
+ T Denominator = Radius2 - (Fx2 + Fy2);
+ return Numerator / Denominator;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T linearGradient
+ (
+ vec<2, T, Q> const& Point0,
+ vec<2, T, Q> const& Point1,
+ vec<2, T, Q> const& Position
+ )
+ {
+ vec<2, T, Q> Dist = Point1 - Point0;
+ return (Dist.x * (Position.x - Point0.x) + Dist.y * (Position.y - Point0.y)) / glm::dot(Dist, Dist);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/handed_coordinate_space.hpp b/src/include/glm/gtx/handed_coordinate_space.hpp
new file mode 100644
index 0000000..22cd7a1
--- /dev/null
+++ b/src/include/glm/gtx/handed_coordinate_space.hpp
@@ -0,0 +1,50 @@
+/// @ref gtx_handed_coordinate_space
+/// @file glm/gtx/handed_coordinate_space.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_handed_coordinate_space GLM_GTX_handed_coordinate_space
+/// @ingroup gtx
+///
+/// Include <glm/gtx/handed_coordinate_system.hpp> to use the features of this extension.
+///
+/// To know if a set of three basis vectors defines a right or left-handed coordinate system.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_handed_coordinate_space is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_handed_coordinate_space extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_handed_coordinate_space
+ /// @{
+
+ //! Return if a trihedron right handed or not.
+ //! From GLM_GTX_handed_coordinate_space extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool rightHanded(
+ vec<3, T, Q> const& tangent,
+ vec<3, T, Q> const& binormal,
+ vec<3, T, Q> const& normal);
+
+ //! Return if a trihedron left handed or not.
+ //! From GLM_GTX_handed_coordinate_space extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool leftHanded(
+ vec<3, T, Q> const& tangent,
+ vec<3, T, Q> const& binormal,
+ vec<3, T, Q> const& normal);
+
+ /// @}
+}// namespace glm
+
+#include "handed_coordinate_space.inl"
diff --git a/src/include/glm/gtx/handed_coordinate_space.inl b/src/include/glm/gtx/handed_coordinate_space.inl
new file mode 100644
index 0000000..7a2c7ac
--- /dev/null
+++ b/src/include/glm/gtx/handed_coordinate_space.inl
@@ -0,0 +1,26 @@
+/// @ref gtx_handed_coordinate_space
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool rightHanded
+ (
+ vec<3, T, Q> const& tangent,
+ vec<3, T, Q> const& binormal,
+ vec<3, T, Q> const& normal
+ )
+ {
+ return dot(cross(normal, tangent), binormal) > T(0);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool leftHanded
+ (
+ vec<3, T, Q> const& tangent,
+ vec<3, T, Q> const& binormal,
+ vec<3, T, Q> const& normal
+ )
+ {
+ return dot(cross(normal, tangent), binormal) < T(0);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/hash.hpp b/src/include/glm/gtx/hash.hpp
new file mode 100644
index 0000000..bf2b1af
--- /dev/null
+++ b/src/include/glm/gtx/hash.hpp
@@ -0,0 +1,142 @@
+/// @ref gtx_hash
+/// @file glm/gtx/hash.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_hash GLM_GTX_hash
+/// @ingroup gtx
+///
+/// Include <glm/gtx/hash.hpp> to use the features of this extension.
+///
+/// Add std::hash support for glm types
+
+#pragma once
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_hash is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_hash extension included")
+# endif
+#endif
+
+#include <functional>
+
+#include "../vec2.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../gtc/vec1.hpp"
+
+#include "../gtc/quaternion.hpp"
+#include "../gtx/dual_quaternion.hpp"
+
+#include "../mat2x2.hpp"
+#include "../mat2x3.hpp"
+#include "../mat2x4.hpp"
+
+#include "../mat3x2.hpp"
+#include "../mat3x3.hpp"
+#include "../mat3x4.hpp"
+
+#include "../mat4x2.hpp"
+#include "../mat4x3.hpp"
+#include "../mat4x4.hpp"
+
+#if !GLM_HAS_CXX11_STL
+# error "GLM_GTX_hash requires C++11 standard library support"
+#endif
+
+namespace std
+{
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::vec<1, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::vec<1, T, Q> const& v) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::vec<2, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::vec<2, T, Q> const& v) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::vec<3, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::vec<3, T, Q> const& v) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::vec<4, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::vec<4, T, Q> const& v) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::qua<T,Q>>
+ {
+ GLM_FUNC_DECL size_t operator()(glm::qua<T, Q> const& q) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::tdualquat<T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tdualquat<T,Q> const& q) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<2, 2, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<2, 2, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<2, 3, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<2, 3, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<2, 4, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<2, 4, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<3, 2, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<3, 2, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<3, 3, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<3, 3, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<3, 4, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<3, 4, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<4, 2, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<4, 2, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<4, 3, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<4, 3, T,Q> const& m) const;
+ };
+
+ template<typename T, glm::qualifier Q>
+ struct hash<glm::mat<4, 4, T,Q> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::mat<4, 4, T,Q> const& m) const;
+ };
+} // namespace std
+
+#include "hash.inl"
diff --git a/src/include/glm/gtx/hash.inl b/src/include/glm/gtx/hash.inl
new file mode 100644
index 0000000..caad49a
--- /dev/null
+++ b/src/include/glm/gtx/hash.inl
@@ -0,0 +1,184 @@
+/// @ref gtx_hash
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_hash GLM_GTX_hash
+/// @ingroup gtx
+///
+/// @brief Add std::hash support for glm types
+///
+/// <glm/gtx/hash.inl> need to be included to use the features of this extension.
+
+namespace glm {
+namespace detail
+{
+ GLM_INLINE void hash_combine(size_t &seed, size_t hash)
+ {
+ hash += 0x9e3779b9 + (seed << 6) + (seed >> 2);
+ seed ^= hash;
+ }
+}}
+
+namespace std
+{
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::vec<1, T, Q>>::operator()(glm::vec<1, T, Q> const& v) const
+ {
+ hash<T> hasher;
+ return hasher(v.x);
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::vec<2, T, Q>>::operator()(glm::vec<2, T, Q> const& v) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(v.x));
+ glm::detail::hash_combine(seed, hasher(v.y));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::vec<3, T, Q>>::operator()(glm::vec<3, T, Q> const& v) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(v.x));
+ glm::detail::hash_combine(seed, hasher(v.y));
+ glm::detail::hash_combine(seed, hasher(v.z));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::vec<4, T, Q>>::operator()(glm::vec<4, T, Q> const& v) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(v.x));
+ glm::detail::hash_combine(seed, hasher(v.y));
+ glm::detail::hash_combine(seed, hasher(v.z));
+ glm::detail::hash_combine(seed, hasher(v.w));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::qua<T, Q>>::operator()(glm::qua<T,Q> const& q) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(q.x));
+ glm::detail::hash_combine(seed, hasher(q.y));
+ glm::detail::hash_combine(seed, hasher(q.z));
+ glm::detail::hash_combine(seed, hasher(q.w));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tdualquat<T, Q>>::operator()(glm::tdualquat<T, Q> const& q) const
+ {
+ size_t seed = 0;
+ hash<glm::qua<T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(q.real));
+ glm::detail::hash_combine(seed, hasher(q.dual));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<2, 2, T, Q>>::operator()(glm::mat<2, 2, T, Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<2, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<2, 3, T, Q>>::operator()(glm::mat<2, 3, T, Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<3, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<2, 4, T, Q>>::operator()(glm::mat<2, 4, T, Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<4, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<3, 2, T, Q>>::operator()(glm::mat<3, 2, T, Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<2, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<3, 3, T, Q>>::operator()(glm::mat<3, 3, T, Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<3, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<3, 4, T, Q>>::operator()(glm::mat<3, 4, T, Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<4, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<4, 2, T,Q>>::operator()(glm::mat<4, 2, T,Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<2, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ glm::detail::hash_combine(seed, hasher(m[3]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<4, 3, T,Q>>::operator()(glm::mat<4, 3, T,Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<3, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ glm::detail::hash_combine(seed, hasher(m[3]));
+ return seed;
+ }
+
+ template<typename T, glm::qualifier Q>
+ GLM_FUNC_QUALIFIER size_t hash<glm::mat<4, 4, T,Q>>::operator()(glm::mat<4, 4, T, Q> const& m) const
+ {
+ size_t seed = 0;
+ hash<glm::vec<4, T, Q>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ glm::detail::hash_combine(seed, hasher(m[3]));
+ return seed;
+ }
+}
diff --git a/src/include/glm/gtx/integer.hpp b/src/include/glm/gtx/integer.hpp
new file mode 100644
index 0000000..2833873
--- /dev/null
+++ b/src/include/glm/gtx/integer.hpp
@@ -0,0 +1,76 @@
+/// @ref gtx_integer
+/// @file glm/gtx/integer.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_integer GLM_GTX_integer
+/// @ingroup gtx
+///
+/// Include <glm/gtx/integer.hpp> to use the features of this extension.
+///
+/// Add support for integer for core functions
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/integer.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_integer is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_integer extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_integer
+ /// @{
+
+ //! Returns x raised to the y power.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL int pow(int x, uint y);
+
+ //! Returns the positive square root of x.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL int sqrt(int x);
+
+ //! Returns the floor log2 of x.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL unsigned int floor_log2(unsigned int x);
+
+ //! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL int mod(int x, int y);
+
+ //! Return the factorial value of a number (!12 max, integer only)
+ //! From GLM_GTX_integer extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType factorial(genType const& x);
+
+ //! 32bit signed integer.
+ //! From GLM_GTX_integer extension.
+ typedef signed int sint;
+
+ //! Returns x raised to the y power.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint pow(uint x, uint y);
+
+ //! Returns the positive square root of x.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint sqrt(uint x);
+
+ //! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint mod(uint x, uint y);
+
+ //! Returns the number of leading zeros.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint nlz(uint x);
+
+ /// @}
+}//namespace glm
+
+#include "integer.inl"
diff --git a/src/include/glm/gtx/integer.inl b/src/include/glm/gtx/integer.inl
new file mode 100644
index 0000000..8f40b83
--- /dev/null
+++ b/src/include/glm/gtx/integer.inl
@@ -0,0 +1,185 @@
+/// @ref gtx_integer
+
+namespace glm
+{
+ // pow
+ GLM_FUNC_QUALIFIER int pow(int x, uint y)
+ {
+ if(y == 0)
+ return x >= 0 ? 1 : -1;
+
+ int result = x;
+ for(uint i = 1; i < y; ++i)
+ result *= x;
+ return result;
+ }
+
+ // sqrt: From Christopher J. Musial, An integer square root, Graphics Gems, 1990, page 387
+ GLM_FUNC_QUALIFIER int sqrt(int x)
+ {
+ if(x <= 1) return x;
+
+ int NextTrial = x >> 1;
+ int CurrentAnswer;
+
+ do
+ {
+ CurrentAnswer = NextTrial;
+ NextTrial = (NextTrial + x / NextTrial) >> 1;
+ } while(NextTrial < CurrentAnswer);
+
+ return CurrentAnswer;
+ }
+
+// Henry Gordon Dietz: http://aggregate.org/MAGIC/
+namespace detail
+{
+ GLM_FUNC_QUALIFIER unsigned int ones32(unsigned int x)
+ {
+ /* 32-bit recursive reduction using SWAR...
+ but first step is mapping 2-bit values
+ into sum of 2 1-bit values in sneaky way
+ */
+ x -= ((x >> 1) & 0x55555555);
+ x = (((x >> 2) & 0x33333333) + (x & 0x33333333));
+ x = (((x >> 4) + x) & 0x0f0f0f0f);
+ x += (x >> 8);
+ x += (x >> 16);
+ return(x & 0x0000003f);
+ }
+}//namespace detail
+
+ // Henry Gordon Dietz: http://aggregate.org/MAGIC/
+/*
+ GLM_FUNC_QUALIFIER unsigned int floor_log2(unsigned int x)
+ {
+ x |= (x >> 1);
+ x |= (x >> 2);
+ x |= (x >> 4);
+ x |= (x >> 8);
+ x |= (x >> 16);
+
+ return _detail::ones32(x) >> 1;
+ }
+*/
+ // mod
+ GLM_FUNC_QUALIFIER int mod(int x, int y)
+ {
+ return ((x % y) + y) % y;
+ }
+
+ // factorial (!12 max, integer only)
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType factorial(genType const& x)
+ {
+ genType Temp = x;
+ genType Result;
+ for(Result = 1; Temp > 1; --Temp)
+ Result *= Temp;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<2, T, Q> factorial(
+ vec<2, T, Q> const& x)
+ {
+ return vec<2, T, Q>(
+ factorial(x.x),
+ factorial(x.y));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> factorial(
+ vec<3, T, Q> const& x)
+ {
+ return vec<3, T, Q>(
+ factorial(x.x),
+ factorial(x.y),
+ factorial(x.z));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> factorial(
+ vec<4, T, Q> const& x)
+ {
+ return vec<4, T, Q>(
+ factorial(x.x),
+ factorial(x.y),
+ factorial(x.z),
+ factorial(x.w));
+ }
+
+ GLM_FUNC_QUALIFIER uint pow(uint x, uint y)
+ {
+ if (y == 0)
+ return 1u;
+
+ uint result = x;
+ for(uint i = 1; i < y; ++i)
+ result *= x;
+ return result;
+ }
+
+ GLM_FUNC_QUALIFIER uint sqrt(uint x)
+ {
+ if(x <= 1) return x;
+
+ uint NextTrial = x >> 1;
+ uint CurrentAnswer;
+
+ do
+ {
+ CurrentAnswer = NextTrial;
+ NextTrial = (NextTrial + x / NextTrial) >> 1;
+ } while(NextTrial < CurrentAnswer);
+
+ return CurrentAnswer;
+ }
+
+ GLM_FUNC_QUALIFIER uint mod(uint x, uint y)
+ {
+ return x - y * (x / y);
+ }
+
+#if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_GCC))
+
+ GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
+ {
+ return 31u - findMSB(x);
+ }
+
+#else
+
+ // Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt
+ GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
+ {
+ int y, m, n;
+
+ y = -int(x >> 16); // If left half of x is 0,
+ m = (y >> 16) & 16; // set n = 16. If left half
+ n = 16 - m; // is nonzero, set n = 0 and
+ x = x >> m; // shift x right 16.
+ // Now x is of the form 0000xxxx.
+ y = x - 0x100; // If positions 8-15 are 0,
+ m = (y >> 16) & 8; // add 8 to n and shift x left 8.
+ n = n + m;
+ x = x << m;
+
+ y = x - 0x1000; // If positions 12-15 are 0,
+ m = (y >> 16) & 4; // add 4 to n and shift x left 4.
+ n = n + m;
+ x = x << m;
+
+ y = x - 0x4000; // If positions 14-15 are 0,
+ m = (y >> 16) & 2; // add 2 to n and shift x left 2.
+ n = n + m;
+ x = x << m;
+
+ y = x >> 14; // Set y = 0, 1, 2, or 3.
+ m = y & ~(y >> 1); // Set m = 0, 1, 2, or 2 resp.
+ return unsigned(n + 2 - m);
+ }
+
+#endif//(GLM_COMPILER)
+
+}//namespace glm
diff --git a/src/include/glm/gtx/intersect.hpp b/src/include/glm/gtx/intersect.hpp
new file mode 100644
index 0000000..013b753
--- /dev/null
+++ b/src/include/glm/gtx/intersect.hpp
@@ -0,0 +1,92 @@
+/// @ref gtx_intersect
+/// @file glm/gtx/intersect.hpp
+///
+/// @see core (dependence)
+/// @see gtx_closest_point (dependence)
+///
+/// @defgroup gtx_intersect GLM_GTX_intersect
+/// @ingroup gtx
+///
+/// Include <glm/gtx/intersect.hpp> to use the features of this extension.
+///
+/// Add intersection functions
+
+#pragma once
+
+// Dependency:
+#include <cfloat>
+#include <limits>
+#include "../glm.hpp"
+#include "../geometric.hpp"
+#include "../gtx/closest_point.hpp"
+#include "../gtx/vector_query.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_closest_point is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_closest_point extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_intersect
+ /// @{
+
+ //! Compute the intersection of a ray and a plane.
+ //! Ray direction and plane normal must be unit length.
+ //! From GLM_GTX_intersect extension.
+ template<typename genType>
+ GLM_FUNC_DECL bool intersectRayPlane(
+ genType const& orig, genType const& dir,
+ genType const& planeOrig, genType const& planeNormal,
+ typename genType::value_type & intersectionDistance);
+
+ //! Compute the intersection of a ray and a triangle.
+ /// Based om Tomas Möller implementation http://fileadmin.cs.lth.se/cs/Personal/Tomas_Akenine-Moller/raytri/
+ //! From GLM_GTX_intersect extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool intersectRayTriangle(
+ vec<3, T, Q> const& orig, vec<3, T, Q> const& dir,
+ vec<3, T, Q> const& v0, vec<3, T, Q> const& v1, vec<3, T, Q> const& v2,
+ vec<2, T, Q>& baryPosition, T& distance);
+
+ //! Compute the intersection of a line and a triangle.
+ //! From GLM_GTX_intersect extension.
+ template<typename genType>
+ GLM_FUNC_DECL bool intersectLineTriangle(
+ genType const& orig, genType const& dir,
+ genType const& vert0, genType const& vert1, genType const& vert2,
+ genType & position);
+
+ //! Compute the intersection distance of a ray and a sphere.
+ //! The ray direction vector is unit length.
+ //! From GLM_GTX_intersect extension.
+ template<typename genType>
+ GLM_FUNC_DECL bool intersectRaySphere(
+ genType const& rayStarting, genType const& rayNormalizedDirection,
+ genType const& sphereCenter, typename genType::value_type const sphereRadiusSquered,
+ typename genType::value_type & intersectionDistance);
+
+ //! Compute the intersection of a ray and a sphere.
+ //! From GLM_GTX_intersect extension.
+ template<typename genType>
+ GLM_FUNC_DECL bool intersectRaySphere(
+ genType const& rayStarting, genType const& rayNormalizedDirection,
+ genType const& sphereCenter, const typename genType::value_type sphereRadius,
+ genType & intersectionPosition, genType & intersectionNormal);
+
+ //! Compute the intersection of a line and a sphere.
+ //! From GLM_GTX_intersect extension
+ template<typename genType>
+ GLM_FUNC_DECL bool intersectLineSphere(
+ genType const& point0, genType const& point1,
+ genType const& sphereCenter, typename genType::value_type sphereRadius,
+ genType & intersectionPosition1, genType & intersectionNormal1,
+ genType & intersectionPosition2 = genType(), genType & intersectionNormal2 = genType());
+
+ /// @}
+}//namespace glm
+
+#include "intersect.inl"
diff --git a/src/include/glm/gtx/intersect.inl b/src/include/glm/gtx/intersect.inl
new file mode 100644
index 0000000..fc44f25
--- /dev/null
+++ b/src/include/glm/gtx/intersect.inl
@@ -0,0 +1,200 @@
+/// @ref gtx_intersect
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRayPlane
+ (
+ genType const& orig, genType const& dir,
+ genType const& planeOrig, genType const& planeNormal,
+ typename genType::value_type & intersectionDistance
+ )
+ {
+ typename genType::value_type d = glm::dot(dir, planeNormal);
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+ if(glm::abs(d) > Epsilon) // if dir and planeNormal are not perpendicular
+ {
+ typename genType::value_type const tmp_intersectionDistance = glm::dot(planeOrig - orig, planeNormal) / d;
+ if (tmp_intersectionDistance > static_cast<typename genType::value_type>(0)) { // allow only intersections
+ intersectionDistance = tmp_intersectionDistance;
+ return true;
+ }
+ }
+
+ return false;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool intersectRayTriangle
+ (
+ vec<3, T, Q> const& orig, vec<3, T, Q> const& dir,
+ vec<3, T, Q> const& vert0, vec<3, T, Q> const& vert1, vec<3, T, Q> const& vert2,
+ vec<2, T, Q>& baryPosition, T& distance
+ )
+ {
+ // find vectors for two edges sharing vert0
+ vec<3, T, Q> const edge1 = vert1 - vert0;
+ vec<3, T, Q> const edge2 = vert2 - vert0;
+
+ // begin calculating determinant - also used to calculate U parameter
+ vec<3, T, Q> const p = glm::cross(dir, edge2);
+
+ // if determinant is near zero, ray lies in plane of triangle
+ T const det = glm::dot(edge1, p);
+
+ vec<3, T, Q> Perpendicular(0);
+
+ if(det > std::numeric_limits<T>::epsilon())
+ {
+ // calculate distance from vert0 to ray origin
+ vec<3, T, Q> const dist = orig - vert0;
+
+ // calculate U parameter and test bounds
+ baryPosition.x = glm::dot(dist, p);
+ if(baryPosition.x < static_cast<T>(0) || baryPosition.x > det)
+ return false;
+
+ // prepare to test V parameter
+ Perpendicular = glm::cross(dist, edge1);
+
+ // calculate V parameter and test bounds
+ baryPosition.y = glm::dot(dir, Perpendicular);
+ if((baryPosition.y < static_cast<T>(0)) || ((baryPosition.x + baryPosition.y) > det))
+ return false;
+ }
+ else if(det < -std::numeric_limits<T>::epsilon())
+ {
+ // calculate distance from vert0 to ray origin
+ vec<3, T, Q> const dist = orig - vert0;
+
+ // calculate U parameter and test bounds
+ baryPosition.x = glm::dot(dist, p);
+ if((baryPosition.x > static_cast<T>(0)) || (baryPosition.x < det))
+ return false;
+
+ // prepare to test V parameter
+ Perpendicular = glm::cross(dist, edge1);
+
+ // calculate V parameter and test bounds
+ baryPosition.y = glm::dot(dir, Perpendicular);
+ if((baryPosition.y > static_cast<T>(0)) || (baryPosition.x + baryPosition.y < det))
+ return false;
+ }
+ else
+ return false; // ray is parallel to the plane of the triangle
+
+ T inv_det = static_cast<T>(1) / det;
+
+ // calculate distance, ray intersects triangle
+ distance = glm::dot(edge2, Perpendicular) * inv_det;
+ baryPosition *= inv_det;
+
+ return true;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool intersectLineTriangle
+ (
+ genType const& orig, genType const& dir,
+ genType const& vert0, genType const& vert1, genType const& vert2,
+ genType & position
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+ genType edge1 = vert1 - vert0;
+ genType edge2 = vert2 - vert0;
+
+ genType Perpendicular = cross(dir, edge2);
+
+ float det = dot(edge1, Perpendicular);
+
+ if (det > -Epsilon && det < Epsilon)
+ return false;
+ typename genType::value_type inv_det = typename genType::value_type(1) / det;
+
+ genType Tengant = orig - vert0;
+
+ position.y = dot(Tengant, Perpendicular) * inv_det;
+ if (position.y < typename genType::value_type(0) || position.y > typename genType::value_type(1))
+ return false;
+
+ genType Cotengant = cross(Tengant, edge1);
+
+ position.z = dot(dir, Cotengant) * inv_det;
+ if (position.z < typename genType::value_type(0) || position.y + position.z > typename genType::value_type(1))
+ return false;
+
+ position.x = dot(edge2, Cotengant) * inv_det;
+
+ return true;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRaySphere
+ (
+ genType const& rayStarting, genType const& rayNormalizedDirection,
+ genType const& sphereCenter, const typename genType::value_type sphereRadiusSquered,
+ typename genType::value_type & intersectionDistance
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ genType diff = sphereCenter - rayStarting;
+ typename genType::value_type t0 = dot(diff, rayNormalizedDirection);
+ typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+ if( dSquared > sphereRadiusSquered )
+ {
+ return false;
+ }
+ typename genType::value_type t1 = sqrt( sphereRadiusSquered - dSquared );
+ intersectionDistance = t0 > t1 + Epsilon ? t0 - t1 : t0 + t1;
+ return intersectionDistance > Epsilon;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRaySphere
+ (
+ genType const& rayStarting, genType const& rayNormalizedDirection,
+ genType const& sphereCenter, const typename genType::value_type sphereRadius,
+ genType & intersectionPosition, genType & intersectionNormal
+ )
+ {
+ typename genType::value_type distance;
+ if( intersectRaySphere( rayStarting, rayNormalizedDirection, sphereCenter, sphereRadius * sphereRadius, distance ) )
+ {
+ intersectionPosition = rayStarting + rayNormalizedDirection * distance;
+ intersectionNormal = (intersectionPosition - sphereCenter) / sphereRadius;
+ return true;
+ }
+ return false;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool intersectLineSphere
+ (
+ genType const& point0, genType const& point1,
+ genType const& sphereCenter, typename genType::value_type sphereRadius,
+ genType & intersectionPoint1, genType & intersectionNormal1,
+ genType & intersectionPoint2, genType & intersectionNormal2
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ genType dir = normalize(point1 - point0);
+ genType diff = sphereCenter - point0;
+ typename genType::value_type t0 = dot(diff, dir);
+ typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+ if( dSquared > sphereRadius * sphereRadius )
+ {
+ return false;
+ }
+ typename genType::value_type t1 = sqrt( sphereRadius * sphereRadius - dSquared );
+ if( t0 < t1 + Epsilon )
+ t1 = -t1;
+ intersectionPoint1 = point0 + dir * (t0 - t1);
+ intersectionNormal1 = (intersectionPoint1 - sphereCenter) / sphereRadius;
+ intersectionPoint2 = point0 + dir * (t0 + t1);
+ intersectionNormal2 = (intersectionPoint2 - sphereCenter) / sphereRadius;
+ return true;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/io.hpp b/src/include/glm/gtx/io.hpp
new file mode 100644
index 0000000..d9b2d17
--- /dev/null
+++ b/src/include/glm/gtx/io.hpp
@@ -0,0 +1,201 @@
+/// @ref gtx_io
+/// @file glm/gtx/io.hpp
+/// @author Jan P Springer (regnirpsj@gmail.com)
+///
+/// @see core (dependence)
+/// @see gtc_matrix_access (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_io GLM_GTX_io
+/// @ingroup gtx
+///
+/// Include <glm/gtx/io.hpp> to use the features of this extension.
+///
+/// std::[w]ostream support for glm types
+///
+/// std::[w]ostream support for glm types + qualifier/width/etc. manipulators
+/// based on howard hinnant's std::chrono io proposal
+/// [http://home.roadrunner.com/~hinnant/bloomington/chrono_io.html]
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_io is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_io extension included")
+# endif
+#endif
+
+#include <iosfwd> // std::basic_ostream<> (fwd)
+#include <locale> // std::locale, std::locale::facet, std::locale::id
+#include <utility> // std::pair<>
+
+namespace glm
+{
+ /// @addtogroup gtx_io
+ /// @{
+
+ namespace io
+ {
+ enum order_type { column_major, row_major};
+
+ template<typename CTy>
+ class format_punct : public std::locale::facet
+ {
+ typedef CTy char_type;
+
+ public:
+
+ static std::locale::id id;
+
+ bool formatted;
+ unsigned precision;
+ unsigned width;
+ char_type separator;
+ char_type delim_left;
+ char_type delim_right;
+ char_type space;
+ char_type newline;
+ order_type order;
+
+ GLM_FUNC_DECL explicit format_punct(size_t a = 0);
+ GLM_FUNC_DECL explicit format_punct(format_punct const&);
+ };
+
+ template<typename CTy, typename CTr = std::char_traits<CTy> >
+ class basic_state_saver {
+
+ public:
+
+ GLM_FUNC_DECL explicit basic_state_saver(std::basic_ios<CTy,CTr>&);
+ GLM_FUNC_DECL ~basic_state_saver();
+
+ private:
+
+ typedef ::std::basic_ios<CTy,CTr> state_type;
+ typedef typename state_type::char_type char_type;
+ typedef ::std::ios_base::fmtflags flags_type;
+ typedef ::std::streamsize streamsize_type;
+ typedef ::std::locale const locale_type;
+
+ state_type& state_;
+ flags_type flags_;
+ streamsize_type precision_;
+ streamsize_type width_;
+ char_type fill_;
+ locale_type locale_;
+
+ GLM_FUNC_DECL basic_state_saver& operator=(basic_state_saver const&);
+ };
+
+ typedef basic_state_saver<char> state_saver;
+ typedef basic_state_saver<wchar_t> wstate_saver;
+
+ template<typename CTy, typename CTr = std::char_traits<CTy> >
+ class basic_format_saver
+ {
+ public:
+
+ GLM_FUNC_DECL explicit basic_format_saver(std::basic_ios<CTy,CTr>&);
+ GLM_FUNC_DECL ~basic_format_saver();
+
+ private:
+
+ basic_state_saver<CTy> const bss_;
+
+ GLM_FUNC_DECL basic_format_saver& operator=(basic_format_saver const&);
+ };
+
+ typedef basic_format_saver<char> format_saver;
+ typedef basic_format_saver<wchar_t> wformat_saver;
+
+ struct precision
+ {
+ unsigned value;
+
+ GLM_FUNC_DECL explicit precision(unsigned);
+ };
+
+ struct width
+ {
+ unsigned value;
+
+ GLM_FUNC_DECL explicit width(unsigned);
+ };
+
+ template<typename CTy>
+ struct delimeter
+ {
+ CTy value[3];
+
+ GLM_FUNC_DECL explicit delimeter(CTy /* left */, CTy /* right */, CTy /* separator */ = ',');
+ };
+
+ struct order
+ {
+ order_type value;
+
+ GLM_FUNC_DECL explicit order(order_type);
+ };
+
+ // functions, inlined (inline)
+
+ template<typename FTy, typename CTy, typename CTr>
+ FTy const& get_facet(std::basic_ios<CTy,CTr>&);
+ template<typename FTy, typename CTy, typename CTr>
+ std::basic_ios<CTy,CTr>& formatted(std::basic_ios<CTy,CTr>&);
+ template<typename FTy, typename CTy, typename CTr>
+ std::basic_ios<CTy,CTr>& unformattet(std::basic_ios<CTy,CTr>&);
+
+ template<typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, precision const&);
+ template<typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, width const&);
+ template<typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, delimeter<CTy> const&);
+ template<typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, order const&);
+ }//namespace io
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, qua<T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, vec<1, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, vec<2, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, vec<3, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, vec<4, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<2, 2, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<2, 3, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<2, 4, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<3, 2, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<3, 3, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<3, 4, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<4, 2, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<4, 3, T, Q> const&);
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, mat<4, 4, T, Q> const&);
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr> &,
+ std::pair<mat<4, 4, T, Q> const, mat<4, 4, T, Q> const> const&);
+
+ /// @}
+}//namespace glm
+
+#include "io.inl"
diff --git a/src/include/glm/gtx/io.inl b/src/include/glm/gtx/io.inl
new file mode 100644
index 0000000..0b374bb
--- /dev/null
+++ b/src/include/glm/gtx/io.inl
@@ -0,0 +1,440 @@
+/// @ref gtx_io
+/// @author Jan P Springer (regnirpsj@gmail.com)
+
+#include <iomanip> // std::fixed, std::setfill<>, std::setprecision, std::right, std::setw
+#include <ostream> // std::basic_ostream<>
+#include "../gtc/matrix_access.hpp" // glm::col, glm::row
+#include "../gtx/type_trait.hpp" // glm::type<>
+
+namespace glm{
+namespace io
+{
+ template<typename CTy>
+ GLM_FUNC_QUALIFIER format_punct<CTy>::format_punct(size_t a)
+ : std::locale::facet(a)
+ , formatted(true)
+ , precision(3)
+ , width(1 + 4 + 1 + precision)
+ , separator(',')
+ , delim_left('[')
+ , delim_right(']')
+ , space(' ')
+ , newline('\n')
+ , order(column_major)
+ {}
+
+ template<typename CTy>
+ GLM_FUNC_QUALIFIER format_punct<CTy>::format_punct(format_punct const& a)
+ : std::locale::facet(0)
+ , formatted(a.formatted)
+ , precision(a.precision)
+ , width(a.width)
+ , separator(a.separator)
+ , delim_left(a.delim_left)
+ , delim_right(a.delim_right)
+ , space(a.space)
+ , newline(a.newline)
+ , order(a.order)
+ {}
+
+ template<typename CTy> std::locale::id format_punct<CTy>::id;
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER basic_state_saver<CTy, CTr>::basic_state_saver(std::basic_ios<CTy, CTr>& a)
+ : state_(a)
+ , flags_(a.flags())
+ , precision_(a.precision())
+ , width_(a.width())
+ , fill_(a.fill())
+ , locale_(a.getloc())
+ {}
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER basic_state_saver<CTy, CTr>::~basic_state_saver()
+ {
+ state_.imbue(locale_);
+ state_.fill(fill_);
+ state_.width(width_);
+ state_.precision(precision_);
+ state_.flags(flags_);
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER basic_format_saver<CTy, CTr>::basic_format_saver(std::basic_ios<CTy, CTr>& a)
+ : bss_(a)
+ {
+ a.imbue(std::locale(a.getloc(), new format_punct<CTy>(get_facet<format_punct<CTy> >(a))));
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER
+ basic_format_saver<CTy, CTr>::~basic_format_saver()
+ {}
+
+ GLM_FUNC_QUALIFIER precision::precision(unsigned a)
+ : value(a)
+ {}
+
+ GLM_FUNC_QUALIFIER width::width(unsigned a)
+ : value(a)
+ {}
+
+ template<typename CTy>
+ GLM_FUNC_QUALIFIER delimeter<CTy>::delimeter(CTy a, CTy b, CTy c)
+ : value()
+ {
+ value[0] = a;
+ value[1] = b;
+ value[2] = c;
+ }
+
+ GLM_FUNC_QUALIFIER order::order(order_type a)
+ : value(a)
+ {}
+
+ template<typename FTy, typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER FTy const& get_facet(std::basic_ios<CTy, CTr>& ios)
+ {
+ if(!std::has_facet<FTy>(ios.getloc()))
+ ios.imbue(std::locale(ios.getloc(), new FTy));
+
+ return std::use_facet<FTy>(ios.getloc());
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ios<CTy, CTr>& formatted(std::basic_ios<CTy, CTr>& ios)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(ios)).formatted = true;
+ return ios;
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ios<CTy, CTr>& unformatted(std::basic_ios<CTy, CTr>& ios)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(ios)).formatted = false;
+ return ios;
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, precision const& a)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).precision = a.value;
+ return os;
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, width const& a)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).width = a.value;
+ return os;
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, delimeter<CTy> const& a)
+ {
+ format_punct<CTy> & fmt(const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)));
+
+ fmt.delim_left = a.value[0];
+ fmt.delim_right = a.value[1];
+ fmt.separator = a.value[2];
+
+ return os;
+ }
+
+ template<typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, order const& a)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).order = a.value;
+ return os;
+ }
+} // namespace io
+
+namespace detail
+{
+ template<typename CTy, typename CTr, typename V>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>&
+ print_vector_on(std::basic_ostream<CTy, CTr>& os, V const& a)
+ {
+ typename std::basic_ostream<CTy, CTr>::sentry const cerberus(os);
+
+ if(cerberus)
+ {
+ io::format_punct<CTy> const& fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+ length_t const& components(type<V>::components);
+
+ if(fmt.formatted)
+ {
+ io::basic_state_saver<CTy> const bss(os);
+
+ os << std::fixed << std::right << std::setprecision(fmt.precision) << std::setfill(fmt.space) << fmt.delim_left;
+
+ for(length_t i(0); i < components; ++i)
+ {
+ os << std::setw(fmt.width) << a[i];
+ if(components-1 != i)
+ os << fmt.separator;
+ }
+
+ os << fmt.delim_right;
+ }
+ else
+ {
+ for(length_t i(0); i < components; ++i)
+ {
+ os << a[i];
+
+ if(components-1 != i)
+ os << fmt.space;
+ }
+ }
+ }
+
+ return os;
+ }
+}//namespace detail
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, qua<T, Q> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, vec<1, T, Q> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, vec<2, T, Q> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, vec<3, T, Q> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, vec<4, T, Q> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+namespace detail
+{
+ template<typename CTy, typename CTr, template<length_t, length_t, typename, qualifier> class M, length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& print_matrix_on(std::basic_ostream<CTy, CTr>& os, M<C, R, T, Q> const& a)
+ {
+ typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+ if(cerberus)
+ {
+ io::format_punct<CTy> const& fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+ length_t const& cols(type<M<C, R, T, Q> >::cols);
+ length_t const& rows(type<M<C, R, T, Q> >::rows);
+
+ if(fmt.formatted)
+ {
+ os << fmt.newline << fmt.delim_left;
+
+ switch(fmt.order)
+ {
+ case io::column_major:
+ {
+ for(length_t i(0); i < rows; ++i)
+ {
+ if (0 != i)
+ os << fmt.space;
+
+ os << row(a, i);
+
+ if(rows-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+
+ case io::row_major:
+ {
+ for(length_t i(0); i < cols; ++i)
+ {
+ if(0 != i)
+ os << fmt.space;
+
+ os << column(a, i);
+
+ if(cols-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+ }
+
+ os << fmt.delim_right;
+ }
+ else
+ {
+ switch (fmt.order)
+ {
+ case io::column_major:
+ {
+ for(length_t i(0); i < cols; ++i)
+ {
+ os << column(a, i);
+
+ if(cols - 1 != i)
+ os << fmt.space;
+ }
+ }
+ break;
+
+ case io::row_major:
+ {
+ for (length_t i(0); i < rows; ++i)
+ {
+ os << row(a, i);
+
+ if (rows-1 != i)
+ os << fmt.space;
+ }
+ }
+ break;
+ }
+ }
+ }
+
+ return os;
+ }
+}//namespace detail
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, mat<2, 2, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, mat<2, 3, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, mat<2, 4, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, mat<3, 2, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, mat<3, 3, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, mat<3, 4, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, mat<4, 2, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, mat<4, 3, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, mat<4, 4, T, Q> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+namespace detail
+{
+ template<typename CTy, typename CTr, template<length_t, length_t, typename, qualifier> class M, length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& print_matrix_pair_on(std::basic_ostream<CTy, CTr>& os, std::pair<M<C, R, T, Q> const, M<C, R, T, Q> const> const& a)
+ {
+ typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+ if(cerberus)
+ {
+ io::format_punct<CTy> const& fmt(io::get_facet<io::format_punct<CTy> >(os));
+ M<C, R, T, Q> const& ml(a.first);
+ M<C, R, T, Q> const& mr(a.second);
+ length_t const& cols(type<M<C, R, T, Q> >::cols);
+ length_t const& rows(type<M<C, R, T, Q> >::rows);
+
+ if(fmt.formatted)
+ {
+ os << fmt.newline << fmt.delim_left;
+
+ switch(fmt.order)
+ {
+ case io::column_major:
+ {
+ for(length_t i(0); i < rows; ++i)
+ {
+ if(0 != i)
+ os << fmt.space;
+
+ os << row(ml, i) << ((rows-1 != i) ? fmt.space : fmt.delim_right) << fmt.space << ((0 != i) ? fmt.space : fmt.delim_left) << row(mr, i);
+
+ if(rows-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+ case io::row_major:
+ {
+ for(length_t i(0); i < cols; ++i)
+ {
+ if(0 != i)
+ os << fmt.space;
+
+ os << column(ml, i) << ((cols-1 != i) ? fmt.space : fmt.delim_right) << fmt.space << ((0 != i) ? fmt.space : fmt.delim_left) << column(mr, i);
+
+ if(cols-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+ }
+
+ os << fmt.delim_right;
+ }
+ else
+ {
+ os << ml << fmt.space << mr;
+ }
+ }
+
+ return os;
+ }
+}//namespace detail
+
+ template<typename CTy, typename CTr, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(
+ std::basic_ostream<CTy, CTr> & os,
+ std::pair<mat<4, 4, T, Q> const,
+ mat<4, 4, T, Q> const> const& a)
+ {
+ return detail::print_matrix_pair_on(os, a);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/log_base.hpp b/src/include/glm/gtx/log_base.hpp
new file mode 100644
index 0000000..4e3155f
--- /dev/null
+++ b/src/include/glm/gtx/log_base.hpp
@@ -0,0 +1,48 @@
+/// @ref gtx_log_base
+/// @file glm/gtx/log_base.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_log_base GLM_GTX_log_base
+/// @ingroup gtx
+///
+/// Include <glm/gtx/log_base.hpp> to use the features of this extension.
+///
+/// Logarithm for any base. base can be a vector or a scalar.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_log_base is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_log_base extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_log_base
+ /// @{
+
+ /// Logarithm for any base.
+ /// From GLM_GTX_log_base.
+ template<typename genType>
+ GLM_FUNC_DECL genType log(
+ genType const& x,
+ genType const& base);
+
+ /// Logarithm for any base.
+ /// From GLM_GTX_log_base.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, T, Q> sign(
+ vec<L, T, Q> const& x,
+ vec<L, T, Q> const& base);
+
+ /// @}
+}//namespace glm
+
+#include "log_base.inl"
diff --git a/src/include/glm/gtx/log_base.inl b/src/include/glm/gtx/log_base.inl
new file mode 100644
index 0000000..d26b2b1
--- /dev/null
+++ b/src/include/glm/gtx/log_base.inl
@@ -0,0 +1,16 @@
+/// @ref gtx_log_base
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType log(genType const& x, genType const& base)
+ {
+ return glm::log(x) / glm::log(base);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, T, Q> log(vec<L, T, Q> const& x, vec<L, T, Q> const& base)
+ {
+ return glm::log(x) / glm::log(base);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/matrix_cross_product.hpp b/src/include/glm/gtx/matrix_cross_product.hpp
new file mode 100644
index 0000000..14d514c
--- /dev/null
+++ b/src/include/glm/gtx/matrix_cross_product.hpp
@@ -0,0 +1,47 @@
+/// @ref gtx_matrix_cross_product
+/// @file glm/gtx/matrix_cross_product.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_matrix_cross_product GLM_GTX_matrix_cross_product
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_cross_product.hpp> to use the features of this extension.
+///
+/// Build cross product matrices
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_cross_product is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_cross_product extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_cross_product
+ /// @{
+
+ //! Build a cross product matrix.
+ //! From GLM_GTX_matrix_cross_product extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> matrixCross3(
+ vec<3, T, Q> const& x);
+
+ //! Build a cross product matrix.
+ //! From GLM_GTX_matrix_cross_product extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> matrixCross4(
+ vec<3, T, Q> const& x);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_cross_product.inl"
diff --git a/src/include/glm/gtx/matrix_cross_product.inl b/src/include/glm/gtx/matrix_cross_product.inl
new file mode 100644
index 0000000..c286981
--- /dev/null
+++ b/src/include/glm/gtx/matrix_cross_product.inl
@@ -0,0 +1,37 @@
+/// @ref gtx_matrix_cross_product
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> matrixCross3
+ (
+ vec<3, T, Q> const& x
+ )
+ {
+ mat<3, 3, T, Q> Result(T(0));
+ Result[0][1] = x.z;
+ Result[1][0] = -x.z;
+ Result[0][2] = -x.y;
+ Result[2][0] = x.y;
+ Result[1][2] = x.x;
+ Result[2][1] = -x.x;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> matrixCross4
+ (
+ vec<3, T, Q> const& x
+ )
+ {
+ mat<4, 4, T, Q> Result(T(0));
+ Result[0][1] = x.z;
+ Result[1][0] = -x.z;
+ Result[0][2] = -x.y;
+ Result[2][0] = x.y;
+ Result[1][2] = x.x;
+ Result[2][1] = -x.x;
+ return Result;
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/matrix_decompose.hpp b/src/include/glm/gtx/matrix_decompose.hpp
new file mode 100644
index 0000000..cc37ab8
--- /dev/null
+++ b/src/include/glm/gtx/matrix_decompose.hpp
@@ -0,0 +1,46 @@
+/// @ref gtx_matrix_decompose
+/// @file glm/gtx/matrix_decompose.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_decompose GLM_GTX_matrix_decompose
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_decompose.hpp> to use the features of this extension.
+///
+/// Decomposes a model matrix to translations, rotation and scale components
+
+#pragma once
+
+// Dependencies
+#include "../mat4x4.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../geometric.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtc/matrix_transform.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_decompose is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_decompose extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_decompose
+ /// @{
+
+ /// Decomposes a model matrix to translations, rotation and scale components
+ /// @see gtx_matrix_decompose
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool decompose(
+ mat<4, 4, T, Q> const& modelMatrix,
+ vec<3, T, Q> & scale, qua<T, Q> & orientation, vec<3, T, Q> & translation, vec<3, T, Q> & skew, vec<4, T, Q> & perspective);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_decompose.inl"
diff --git a/src/include/glm/gtx/matrix_decompose.inl b/src/include/glm/gtx/matrix_decompose.inl
new file mode 100644
index 0000000..81ab844
--- /dev/null
+++ b/src/include/glm/gtx/matrix_decompose.inl
@@ -0,0 +1,186 @@
+/// @ref gtx_matrix_decompose
+
+#include "../gtc/constants.hpp"
+#include "../gtc/epsilon.hpp"
+
+namespace glm{
+namespace detail
+{
+ /// Make a linear combination of two vectors and return the result.
+ // result = (a * ascl) + (b * bscl)
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> combine(
+ vec<3, T, Q> const& a,
+ vec<3, T, Q> const& b,
+ T ascl, T bscl)
+ {
+ return (a * ascl) + (b * bscl);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> scale(vec<3, T, Q> const& v, T desiredLength)
+ {
+ return v * desiredLength / length(v);
+ }
+}//namespace detail
+
+ // Matrix decompose
+ // http://www.opensource.apple.com/source/WebCore/WebCore-514/platform/graphics/transforms/TransformationMatrix.cpp
+ // Decomposes the mode matrix to translations,rotation scale components
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool decompose(mat<4, 4, T, Q> const& ModelMatrix, vec<3, T, Q> & Scale, qua<T, Q> & Orientation, vec<3, T, Q> & Translation, vec<3, T, Q> & Skew, vec<4, T, Q> & Perspective)
+ {
+ mat<4, 4, T, Q> LocalMatrix(ModelMatrix);
+
+ // Normalize the matrix.
+ if(epsilonEqual(LocalMatrix[3][3], static_cast<T>(0), epsilon<T>()))
+ return false;
+
+ for(length_t i = 0; i < 4; ++i)
+ for(length_t j = 0; j < 4; ++j)
+ LocalMatrix[i][j] /= LocalMatrix[3][3];
+
+ // perspectiveMatrix is used to solve for perspective, but it also provides
+ // an easy way to test for singularity of the upper 3x3 component.
+ mat<4, 4, T, Q> PerspectiveMatrix(LocalMatrix);
+
+ for(length_t i = 0; i < 3; i++)
+ PerspectiveMatrix[i][3] = static_cast<T>(0);
+ PerspectiveMatrix[3][3] = static_cast<T>(1);
+
+ /// TODO: Fixme!
+ if(epsilonEqual(determinant(PerspectiveMatrix), static_cast<T>(0), epsilon<T>()))
+ return false;
+
+ // First, isolate perspective. This is the messiest.
+ if(
+ epsilonNotEqual(LocalMatrix[0][3], static_cast<T>(0), epsilon<T>()) ||
+ epsilonNotEqual(LocalMatrix[1][3], static_cast<T>(0), epsilon<T>()) ||
+ epsilonNotEqual(LocalMatrix[2][3], static_cast<T>(0), epsilon<T>()))
+ {
+ // rightHandSide is the right hand side of the equation.
+ vec<4, T, Q> RightHandSide;
+ RightHandSide[0] = LocalMatrix[0][3];
+ RightHandSide[1] = LocalMatrix[1][3];
+ RightHandSide[2] = LocalMatrix[2][3];
+ RightHandSide[3] = LocalMatrix[3][3];
+
+ // Solve the equation by inverting PerspectiveMatrix and multiplying
+ // rightHandSide by the inverse. (This is the easiest way, not
+ // necessarily the best.)
+ mat<4, 4, T, Q> InversePerspectiveMatrix = glm::inverse(PerspectiveMatrix);// inverse(PerspectiveMatrix, inversePerspectiveMatrix);
+ mat<4, 4, T, Q> TransposedInversePerspectiveMatrix = glm::transpose(InversePerspectiveMatrix);// transposeMatrix4(inversePerspectiveMatrix, transposedInversePerspectiveMatrix);
+
+ Perspective = TransposedInversePerspectiveMatrix * RightHandSide;
+ // v4MulPointByMatrix(rightHandSide, transposedInversePerspectiveMatrix, perspectivePoint);
+
+ // Clear the perspective partition
+ LocalMatrix[0][3] = LocalMatrix[1][3] = LocalMatrix[2][3] = static_cast<T>(0);
+ LocalMatrix[3][3] = static_cast<T>(1);
+ }
+ else
+ {
+ // No perspective.
+ Perspective = vec<4, T, Q>(0, 0, 0, 1);
+ }
+
+ // Next take care of translation (easy).
+ Translation = vec<3, T, Q>(LocalMatrix[3]);
+ LocalMatrix[3] = vec<4, T, Q>(0, 0, 0, LocalMatrix[3].w);
+
+ vec<3, T, Q> Row[3], Pdum3;
+
+ // Now get scale and shear.
+ for(length_t i = 0; i < 3; ++i)
+ for(length_t j = 0; j < 3; ++j)
+ Row[i][j] = LocalMatrix[i][j];
+
+ // Compute X scale factor and normalize first row.
+ Scale.x = length(Row[0]);// v3Length(Row[0]);
+
+ Row[0] = detail::scale(Row[0], static_cast<T>(1));
+
+ // Compute XY shear factor and make 2nd row orthogonal to 1st.
+ Skew.z = dot(Row[0], Row[1]);
+ Row[1] = detail::combine(Row[1], Row[0], static_cast<T>(1), -Skew.z);
+
+ // Now, compute Y scale and normalize 2nd row.
+ Scale.y = length(Row[1]);
+ Row[1] = detail::scale(Row[1], static_cast<T>(1));
+ Skew.z /= Scale.y;
+
+ // Compute XZ and YZ shears, orthogonalize 3rd row.
+ Skew.y = glm::dot(Row[0], Row[2]);
+ Row[2] = detail::combine(Row[2], Row[0], static_cast<T>(1), -Skew.y);
+ Skew.x = glm::dot(Row[1], Row[2]);
+ Row[2] = detail::combine(Row[2], Row[1], static_cast<T>(1), -Skew.x);
+
+ // Next, get Z scale and normalize 3rd row.
+ Scale.z = length(Row[2]);
+ Row[2] = detail::scale(Row[2], static_cast<T>(1));
+ Skew.y /= Scale.z;
+ Skew.x /= Scale.z;
+
+ // At this point, the matrix (in rows[]) is orthonormal.
+ // Check for a coordinate system flip. If the determinant
+ // is -1, then negate the matrix and the scaling factors.
+ Pdum3 = cross(Row[1], Row[2]); // v3Cross(row[1], row[2], Pdum3);
+ if(dot(Row[0], Pdum3) < 0)
+ {
+ for(length_t i = 0; i < 3; i++)
+ {
+ Scale[i] *= static_cast<T>(-1);
+ Row[i] *= static_cast<T>(-1);
+ }
+ }
+
+ // Now, get the rotations out, as described in the gem.
+
+ // FIXME - Add the ability to return either quaternions (which are
+ // easier to recompose with) or Euler angles (rx, ry, rz), which
+ // are easier for authors to deal with. The latter will only be useful
+ // when we fix https://bugs.webkit.org/show_bug.cgi?id=23799, so I
+ // will leave the Euler angle code here for now.
+
+ // ret.rotateY = asin(-Row[0][2]);
+ // if (cos(ret.rotateY) != 0) {
+ // ret.rotateX = atan2(Row[1][2], Row[2][2]);
+ // ret.rotateZ = atan2(Row[0][1], Row[0][0]);
+ // } else {
+ // ret.rotateX = atan2(-Row[2][0], Row[1][1]);
+ // ret.rotateZ = 0;
+ // }
+
+ int i, j, k = 0;
+ T root, trace = Row[0].x + Row[1].y + Row[2].z;
+ if(trace > static_cast<T>(0))
+ {
+ root = sqrt(trace + static_cast<T>(1.0));
+ Orientation.w = static_cast<T>(0.5) * root;
+ root = static_cast<T>(0.5) / root;
+ Orientation.x = root * (Row[1].z - Row[2].y);
+ Orientation.y = root * (Row[2].x - Row[0].z);
+ Orientation.z = root * (Row[0].y - Row[1].x);
+ } // End if > 0
+ else
+ {
+ static int Next[3] = {1, 2, 0};
+ i = 0;
+ if(Row[1].y > Row[0].x) i = 1;
+ if(Row[2].z > Row[i][i]) i = 2;
+ j = Next[i];
+ k = Next[j];
+
+ root = sqrt(Row[i][i] - Row[j][j] - Row[k][k] + static_cast<T>(1.0));
+
+ Orientation[i] = static_cast<T>(0.5) * root;
+ root = static_cast<T>(0.5) / root;
+ Orientation[j] = root * (Row[i][j] + Row[j][i]);
+ Orientation[k] = root * (Row[i][k] + Row[k][i]);
+ Orientation.w = root * (Row[j][k] - Row[k][j]);
+ } // End if <= 0
+
+ return true;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/matrix_factorisation.hpp b/src/include/glm/gtx/matrix_factorisation.hpp
new file mode 100644
index 0000000..982f093
--- /dev/null
+++ b/src/include/glm/gtx/matrix_factorisation.hpp
@@ -0,0 +1,69 @@
+/// @ref gtx_matrix_factorisation
+/// @file glm/gtx/matrix_factorisation.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_factorisation GLM_GTX_matrix_factorisation
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_factorisation.hpp> to use the features of this extension.
+///
+/// Functions to factor matrices in various forms
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_factorisation is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_factorisation extension included")
+# endif
+#endif
+
+/*
+Suggestions:
+ - Move helper functions flipud and fliplr to another file: They may be helpful in more general circumstances.
+ - Implement other types of matrix factorisation, such as: QL and LQ, L(D)U, eigendecompositions, etc...
+*/
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_factorisation
+ /// @{
+
+ /// Flips the matrix rows up and down.
+ ///
+ /// From GLM_GTX_matrix_factorisation extension.
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_DECL mat<C, R, T, Q> flipud(mat<C, R, T, Q> const& in);
+
+ /// Flips the matrix columns right and left.
+ ///
+ /// From GLM_GTX_matrix_factorisation extension.
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_DECL mat<C, R, T, Q> fliplr(mat<C, R, T, Q> const& in);
+
+ /// Performs QR factorisation of a matrix.
+ /// Returns 2 matrices, q and r, such that the columns of q are orthonormal and span the same subspace than those of the input matrix, r is an upper triangular matrix, and q*r=in.
+ /// Given an n-by-m input matrix, q has dimensions min(n,m)-by-m, and r has dimensions n-by-min(n,m).
+ ///
+ /// From GLM_GTX_matrix_factorisation extension.
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_DECL void qr_decompose(mat<C, R, T, Q> const& in, mat<(C < R ? C : R), R, T, Q>& q, mat<C, (C < R ? C : R), T, Q>& r);
+
+ /// Performs RQ factorisation of a matrix.
+ /// Returns 2 matrices, r and q, such that r is an upper triangular matrix, the rows of q are orthonormal and span the same subspace than those of the input matrix, and r*q=in.
+ /// Note that in the context of RQ factorisation, the diagonal is seen as starting in the lower-right corner of the matrix, instead of the usual upper-left.
+ /// Given an n-by-m input matrix, r has dimensions min(n,m)-by-m, and q has dimensions n-by-min(n,m).
+ ///
+ /// From GLM_GTX_matrix_factorisation extension.
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_DECL void rq_decompose(mat<C, R, T, Q> const& in, mat<(C < R ? C : R), R, T, Q>& r, mat<C, (C < R ? C : R), T, Q>& q);
+
+ /// @}
+}
+
+#include "matrix_factorisation.inl"
diff --git a/src/include/glm/gtx/matrix_factorisation.inl b/src/include/glm/gtx/matrix_factorisation.inl
new file mode 100644
index 0000000..836e34c
--- /dev/null
+++ b/src/include/glm/gtx/matrix_factorisation.inl
@@ -0,0 +1,84 @@
+/// @ref gtx_matrix_factorisation
+
+namespace glm
+{
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<C, R, T, Q> flipud(mat<C, R, T, Q> const& in)
+ {
+ mat<R, C, T, Q> tin = transpose(in);
+ tin = fliplr(tin);
+ mat<C, R, T, Q> out = transpose(tin);
+
+ return out;
+ }
+
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<C, R, T, Q> fliplr(mat<C, R, T, Q> const& in)
+ {
+ mat<C, R, T, Q> out;
+ for (length_t i = 0; i < C; i++)
+ {
+ out[i] = in[(C - i) - 1];
+ }
+
+ return out;
+ }
+
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER void qr_decompose(mat<C, R, T, Q> const& in, mat<(C < R ? C : R), R, T, Q>& q, mat<C, (C < R ? C : R), T, Q>& r)
+ {
+ // Uses modified Gram-Schmidt method
+ // Source: https://en.wikipedia.org/wiki/Gram–Schmidt_process
+ // And https://en.wikipedia.org/wiki/QR_decomposition
+
+ //For all the linearly independs columns of the input...
+ // (there can be no more linearly independents columns than there are rows.)
+ for (length_t i = 0; i < (C < R ? C : R); i++)
+ {
+ //Copy in Q the input's i-th column.
+ q[i] = in[i];
+
+ //j = [0,i[
+ // Make that column orthogonal to all the previous ones by substracting to it the non-orthogonal projection of all the previous columns.
+ // Also: Fill the zero elements of R
+ for (length_t j = 0; j < i; j++)
+ {
+ q[i] -= dot(q[i], q[j])*q[j];
+ r[j][i] = 0;
+ }
+
+ //Now, Q i-th column is orthogonal to all the previous columns. Normalize it.
+ q[i] = normalize(q[i]);
+
+ //j = [i,C[
+ //Finally, compute the corresponding coefficients of R by computing the projection of the resulting column on the other columns of the input.
+ for (length_t j = i; j < C; j++)
+ {
+ r[j][i] = dot(in[j], q[i]);
+ }
+ }
+ }
+
+ template <length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER void rq_decompose(mat<C, R, T, Q> const& in, mat<(C < R ? C : R), R, T, Q>& r, mat<C, (C < R ? C : R), T, Q>& q)
+ {
+ // From https://en.wikipedia.org/wiki/QR_decomposition:
+ // The RQ decomposition transforms a matrix A into the product of an upper triangular matrix R (also known as right-triangular) and an orthogonal matrix Q. The only difference from QR decomposition is the order of these matrices.
+ // QR decomposition is Gram–Schmidt orthogonalization of columns of A, started from the first column.
+ // RQ decomposition is Gram–Schmidt orthogonalization of rows of A, started from the last row.
+
+ mat<R, C, T, Q> tin = transpose(in);
+ tin = fliplr(tin);
+
+ mat<R, (C < R ? C : R), T, Q> tr;
+ mat<(C < R ? C : R), C, T, Q> tq;
+ qr_decompose(tin, tq, tr);
+
+ tr = fliplr(tr);
+ r = transpose(tr);
+ r = fliplr(r);
+
+ tq = fliplr(tq);
+ q = transpose(tq);
+ }
+} //namespace glm
diff --git a/src/include/glm/gtx/matrix_interpolation.hpp b/src/include/glm/gtx/matrix_interpolation.hpp
new file mode 100644
index 0000000..5c37fb3
--- /dev/null
+++ b/src/include/glm/gtx/matrix_interpolation.hpp
@@ -0,0 +1,60 @@
+/// @ref gtx_matrix_interpolation
+/// @file glm/gtx/matrix_interpolation.hpp
+/// @author Ghenadii Ursachi (the.asteroth@gmail.com)
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_interpolation GLM_GTX_matrix_interpolation
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_interpolation.hpp> to use the features of this extension.
+///
+/// Allows to directly interpolate two matrices.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_interpolation is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_interpolation extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_interpolation
+ /// @{
+
+ /// Get the axis and angle of the rotation from a matrix.
+ /// From GLM_GTX_matrix_interpolation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL void axisAngle(
+ mat<4, 4, T, Q> const& Mat, vec<3, T, Q> & Axis, T & Angle);
+
+ /// Build a matrix from axis and angle.
+ /// From GLM_GTX_matrix_interpolation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> axisAngleMatrix(
+ vec<3, T, Q> const& Axis, T const Angle);
+
+ /// Extracts the rotation part of a matrix.
+ /// From GLM_GTX_matrix_interpolation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> extractMatrixRotation(
+ mat<4, 4, T, Q> const& Mat);
+
+ /// Build a interpolation of 4 * 4 matrixes.
+ /// From GLM_GTX_matrix_interpolation extension.
+ /// Warning! works only with rotation and/or translation matrixes, scale will generate unexpected results.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> interpolate(
+ mat<4, 4, T, Q> const& m1, mat<4, 4, T, Q> const& m2, T const Delta);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_interpolation.inl"
diff --git a/src/include/glm/gtx/matrix_interpolation.inl b/src/include/glm/gtx/matrix_interpolation.inl
new file mode 100644
index 0000000..d376d45
--- /dev/null
+++ b/src/include/glm/gtx/matrix_interpolation.inl
@@ -0,0 +1,129 @@
+/// @ref gtx_matrix_interpolation
+
+#include "../gtc/constants.hpp"
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER void axisAngle(mat<4, 4, T, Q> const& m, vec<3, T, Q> & axis, T& angle)
+ {
+ T epsilon = static_cast<T>(0.01);
+ T epsilon2 = static_cast<T>(0.1);
+
+ if((abs(m[1][0] - m[0][1]) < epsilon) && (abs(m[2][0] - m[0][2]) < epsilon) && (abs(m[2][1] - m[1][2]) < epsilon))
+ {
+ if ((abs(m[1][0] + m[0][1]) < epsilon2) && (abs(m[2][0] + m[0][2]) < epsilon2) && (abs(m[2][1] + m[1][2]) < epsilon2) && (abs(m[0][0] + m[1][1] + m[2][2] - static_cast<T>(3.0)) < epsilon2))
+ {
+ angle = static_cast<T>(0.0);
+ axis.x = static_cast<T>(1.0);
+ axis.y = static_cast<T>(0.0);
+ axis.z = static_cast<T>(0.0);
+ return;
+ }
+ angle = static_cast<T>(3.1415926535897932384626433832795);
+ T xx = (m[0][0] + static_cast<T>(1.0)) * static_cast<T>(0.5);
+ T yy = (m[1][1] + static_cast<T>(1.0)) * static_cast<T>(0.5);
+ T zz = (m[2][2] + static_cast<T>(1.0)) * static_cast<T>(0.5);
+ T xy = (m[1][0] + m[0][1]) * static_cast<T>(0.25);
+ T xz = (m[2][0] + m[0][2]) * static_cast<T>(0.25);
+ T yz = (m[2][1] + m[1][2]) * static_cast<T>(0.25);
+ if((xx > yy) && (xx > zz))
+ {
+ if(xx < epsilon)
+ {
+ axis.x = static_cast<T>(0.0);
+ axis.y = static_cast<T>(0.7071);
+ axis.z = static_cast<T>(0.7071);
+ }
+ else
+ {
+ axis.x = sqrt(xx);
+ axis.y = xy / axis.x;
+ axis.z = xz / axis.x;
+ }
+ }
+ else if (yy > zz)
+ {
+ if(yy < epsilon)
+ {
+ axis.x = static_cast<T>(0.7071);
+ axis.y = static_cast<T>(0.0);
+ axis.z = static_cast<T>(0.7071);
+ }
+ else
+ {
+ axis.y = sqrt(yy);
+ axis.x = xy / axis.y;
+ axis.z = yz / axis.y;
+ }
+ }
+ else
+ {
+ if (zz < epsilon)
+ {
+ axis.x = static_cast<T>(0.7071);
+ axis.y = static_cast<T>(0.7071);
+ axis.z = static_cast<T>(0.0);
+ }
+ else
+ {
+ axis.z = sqrt(zz);
+ axis.x = xz / axis.z;
+ axis.y = yz / axis.z;
+ }
+ }
+ return;
+ }
+ T s = sqrt((m[2][1] - m[1][2]) * (m[2][1] - m[1][2]) + (m[2][0] - m[0][2]) * (m[2][0] - m[0][2]) + (m[1][0] - m[0][1]) * (m[1][0] - m[0][1]));
+ if (glm::abs(s) < T(0.001))
+ s = static_cast<T>(1);
+ T const angleCos = (m[0][0] + m[1][1] + m[2][2] - static_cast<T>(1)) * static_cast<T>(0.5);
+ if(angleCos - static_cast<T>(1) < epsilon)
+ angle = pi<T>() * static_cast<T>(0.25);
+ else
+ angle = acos(angleCos);
+ axis.x = (m[1][2] - m[2][1]) / s;
+ axis.y = (m[2][0] - m[0][2]) / s;
+ axis.z = (m[0][1] - m[1][0]) / s;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> axisAngleMatrix(vec<3, T, Q> const& axis, T const angle)
+ {
+ T c = cos(angle);
+ T s = sin(angle);
+ T t = static_cast<T>(1) - c;
+ vec<3, T, Q> n = normalize(axis);
+
+ return mat<4, 4, T, Q>(
+ t * n.x * n.x + c, t * n.x * n.y + n.z * s, t * n.x * n.z - n.y * s, static_cast<T>(0.0),
+ t * n.x * n.y - n.z * s, t * n.y * n.y + c, t * n.y * n.z + n.x * s, static_cast<T>(0.0),
+ t * n.x * n.z + n.y * s, t * n.y * n.z - n.x * s, t * n.z * n.z + c, static_cast<T>(0.0),
+ static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(1.0));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> extractMatrixRotation(mat<4, 4, T, Q> const& m)
+ {
+ return mat<4, 4, T, Q>(
+ m[0][0], m[0][1], m[0][2], static_cast<T>(0.0),
+ m[1][0], m[1][1], m[1][2], static_cast<T>(0.0),
+ m[2][0], m[2][1], m[2][2], static_cast<T>(0.0),
+ static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(0.0), static_cast<T>(1.0));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> interpolate(mat<4, 4, T, Q> const& m1, mat<4, 4, T, Q> const& m2, T const delta)
+ {
+ mat<4, 4, T, Q> m1rot = extractMatrixRotation(m1);
+ mat<4, 4, T, Q> dltRotation = m2 * transpose(m1rot);
+ vec<3, T, Q> dltAxis;
+ T dltAngle;
+ axisAngle(dltRotation, dltAxis, dltAngle);
+ mat<4, 4, T, Q> out = axisAngleMatrix(dltAxis, dltAngle * delta) * m1rot;
+ out[3][0] = m1[3][0] + delta * (m2[3][0] - m1[3][0]);
+ out[3][1] = m1[3][1] + delta * (m2[3][1] - m1[3][1]);
+ out[3][2] = m1[3][2] + delta * (m2[3][2] - m1[3][2]);
+ return out;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/matrix_major_storage.hpp b/src/include/glm/gtx/matrix_major_storage.hpp
new file mode 100644
index 0000000..1ef83e9
--- /dev/null
+++ b/src/include/glm/gtx/matrix_major_storage.hpp
@@ -0,0 +1,119 @@
+/// @ref gtx_matrix_major_storage
+/// @file glm/gtx/matrix_major_storage.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_matrix_major_storage GLM_GTX_matrix_major_storage
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_major_storage.hpp> to use the features of this extension.
+///
+/// Build matrices with specific matrix order, row or column
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_major_storage is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_major_storage extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_major_storage
+ /// @{
+
+ //! Build a row major matrix from row vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 2, T, Q> rowMajor2(
+ vec<2, T, Q> const& v1,
+ vec<2, T, Q> const& v2);
+
+ //! Build a row major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 2, T, Q> rowMajor2(
+ mat<2, 2, T, Q> const& m);
+
+ //! Build a row major matrix from row vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> rowMajor3(
+ vec<3, T, Q> const& v1,
+ vec<3, T, Q> const& v2,
+ vec<3, T, Q> const& v3);
+
+ //! Build a row major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> rowMajor3(
+ mat<3, 3, T, Q> const& m);
+
+ //! Build a row major matrix from row vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> rowMajor4(
+ vec<4, T, Q> const& v1,
+ vec<4, T, Q> const& v2,
+ vec<4, T, Q> const& v3,
+ vec<4, T, Q> const& v4);
+
+ //! Build a row major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> rowMajor4(
+ mat<4, 4, T, Q> const& m);
+
+ //! Build a column major matrix from column vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 2, T, Q> colMajor2(
+ vec<2, T, Q> const& v1,
+ vec<2, T, Q> const& v2);
+
+ //! Build a column major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 2, T, Q> colMajor2(
+ mat<2, 2, T, Q> const& m);
+
+ //! Build a column major matrix from column vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> colMajor3(
+ vec<3, T, Q> const& v1,
+ vec<3, T, Q> const& v2,
+ vec<3, T, Q> const& v3);
+
+ //! Build a column major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> colMajor3(
+ mat<3, 3, T, Q> const& m);
+
+ //! Build a column major matrix from column vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> colMajor4(
+ vec<4, T, Q> const& v1,
+ vec<4, T, Q> const& v2,
+ vec<4, T, Q> const& v3,
+ vec<4, T, Q> const& v4);
+
+ //! Build a column major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> colMajor4(
+ mat<4, 4, T, Q> const& m);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_major_storage.inl"
diff --git a/src/include/glm/gtx/matrix_major_storage.inl b/src/include/glm/gtx/matrix_major_storage.inl
new file mode 100644
index 0000000..0209723
--- /dev/null
+++ b/src/include/glm/gtx/matrix_major_storage.inl
@@ -0,0 +1,166 @@
+/// @ref gtx_matrix_major_storage
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 2, T, Q> rowMajor2
+ (
+ vec<2, T, Q> const& v1,
+ vec<2, T, Q> const& v2
+ )
+ {
+ mat<2, 2, T, Q> Result;
+ Result[0][0] = v1.x;
+ Result[1][0] = v1.y;
+ Result[0][1] = v2.x;
+ Result[1][1] = v2.y;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 2, T, Q> rowMajor2(
+ const mat<2, 2, T, Q>& m)
+ {
+ mat<2, 2, T, Q> Result;
+ Result[0][0] = m[0][0];
+ Result[0][1] = m[1][0];
+ Result[1][0] = m[0][1];
+ Result[1][1] = m[1][1];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> rowMajor3(
+ const vec<3, T, Q>& v1,
+ const vec<3, T, Q>& v2,
+ const vec<3, T, Q>& v3)
+ {
+ mat<3, 3, T, Q> Result;
+ Result[0][0] = v1.x;
+ Result[1][0] = v1.y;
+ Result[2][0] = v1.z;
+ Result[0][1] = v2.x;
+ Result[1][1] = v2.y;
+ Result[2][1] = v2.z;
+ Result[0][2] = v3.x;
+ Result[1][2] = v3.y;
+ Result[2][2] = v3.z;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> rowMajor3(
+ const mat<3, 3, T, Q>& m)
+ {
+ mat<3, 3, T, Q> Result;
+ Result[0][0] = m[0][0];
+ Result[0][1] = m[1][0];
+ Result[0][2] = m[2][0];
+ Result[1][0] = m[0][1];
+ Result[1][1] = m[1][1];
+ Result[1][2] = m[2][1];
+ Result[2][0] = m[0][2];
+ Result[2][1] = m[1][2];
+ Result[2][2] = m[2][2];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> rowMajor4(
+ const vec<4, T, Q>& v1,
+ const vec<4, T, Q>& v2,
+ const vec<4, T, Q>& v3,
+ const vec<4, T, Q>& v4)
+ {
+ mat<4, 4, T, Q> Result;
+ Result[0][0] = v1.x;
+ Result[1][0] = v1.y;
+ Result[2][0] = v1.z;
+ Result[3][0] = v1.w;
+ Result[0][1] = v2.x;
+ Result[1][1] = v2.y;
+ Result[2][1] = v2.z;
+ Result[3][1] = v2.w;
+ Result[0][2] = v3.x;
+ Result[1][2] = v3.y;
+ Result[2][2] = v3.z;
+ Result[3][2] = v3.w;
+ Result[0][3] = v4.x;
+ Result[1][3] = v4.y;
+ Result[2][3] = v4.z;
+ Result[3][3] = v4.w;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> rowMajor4(
+ const mat<4, 4, T, Q>& m)
+ {
+ mat<4, 4, T, Q> Result;
+ Result[0][0] = m[0][0];
+ Result[0][1] = m[1][0];
+ Result[0][2] = m[2][0];
+ Result[0][3] = m[3][0];
+ Result[1][0] = m[0][1];
+ Result[1][1] = m[1][1];
+ Result[1][2] = m[2][1];
+ Result[1][3] = m[3][1];
+ Result[2][0] = m[0][2];
+ Result[2][1] = m[1][2];
+ Result[2][2] = m[2][2];
+ Result[2][3] = m[3][2];
+ Result[3][0] = m[0][3];
+ Result[3][1] = m[1][3];
+ Result[3][2] = m[2][3];
+ Result[3][3] = m[3][3];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 2, T, Q> colMajor2(
+ const vec<2, T, Q>& v1,
+ const vec<2, T, Q>& v2)
+ {
+ return mat<2, 2, T, Q>(v1, v2);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 2, T, Q> colMajor2(
+ const mat<2, 2, T, Q>& m)
+ {
+ return mat<2, 2, T, Q>(m);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> colMajor3(
+ const vec<3, T, Q>& v1,
+ const vec<3, T, Q>& v2,
+ const vec<3, T, Q>& v3)
+ {
+ return mat<3, 3, T, Q>(v1, v2, v3);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> colMajor3(
+ const mat<3, 3, T, Q>& m)
+ {
+ return mat<3, 3, T, Q>(m);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> colMajor4(
+ const vec<4, T, Q>& v1,
+ const vec<4, T, Q>& v2,
+ const vec<4, T, Q>& v3,
+ const vec<4, T, Q>& v4)
+ {
+ return mat<4, 4, T, Q>(v1, v2, v3, v4);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> colMajor4(
+ const mat<4, 4, T, Q>& m)
+ {
+ return mat<4, 4, T, Q>(m);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/matrix_operation.hpp b/src/include/glm/gtx/matrix_operation.hpp
new file mode 100644
index 0000000..84b0232
--- /dev/null
+++ b/src/include/glm/gtx/matrix_operation.hpp
@@ -0,0 +1,103 @@
+/// @ref gtx_matrix_operation
+/// @file glm/gtx/matrix_operation.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_operation GLM_GTX_matrix_operation
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_operation.hpp> to use the features of this extension.
+///
+/// Build diagonal matrices from vectors.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_operation is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_operation extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_operation
+ /// @{
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 2, T, Q> diagonal2x2(
+ vec<2, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 3, T, Q> diagonal2x3(
+ vec<2, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 4, T, Q> diagonal2x4(
+ vec<2, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 2, T, Q> diagonal3x2(
+ vec<2, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> diagonal3x3(
+ vec<3, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 4, T, Q> diagonal3x4(
+ vec<3, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 2, T, Q> diagonal4x2(
+ vec<2, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 3, T, Q> diagonal4x3(
+ vec<3, T, Q> const& v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> diagonal4x4(
+ vec<4, T, Q> const& v);
+
+ /// Build an adjugate matrix.
+ /// From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<2, 2, T, Q> adjugate(mat<2, 2, T, Q> const& m);
+
+ /// Build an adjugate matrix.
+ /// From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> adjugate(mat<3, 3, T, Q> const& m);
+
+ /// Build an adjugate matrix.
+ /// From GLM_GTX_matrix_operation extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> adjugate(mat<4, 4, T, Q> const& m);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_operation.inl"
diff --git a/src/include/glm/gtx/matrix_operation.inl b/src/include/glm/gtx/matrix_operation.inl
new file mode 100644
index 0000000..f0f0604
--- /dev/null
+++ b/src/include/glm/gtx/matrix_operation.inl
@@ -0,0 +1,176 @@
+/// @ref gtx_matrix_operation
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 2, T, Q> diagonal2x2
+ (
+ vec<2, T, Q> const& v
+ )
+ {
+ mat<2, 2, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 3, T, Q> diagonal2x3
+ (
+ vec<2, T, Q> const& v
+ )
+ {
+ mat<2, 3, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 4, T, Q> diagonal2x4
+ (
+ vec<2, T, Q> const& v
+ )
+ {
+ mat<2, 4, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 2, T, Q> diagonal3x2
+ (
+ vec<2, T, Q> const& v
+ )
+ {
+ mat<3, 2, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> diagonal3x3
+ (
+ vec<3, T, Q> const& v
+ )
+ {
+ mat<3, 3, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 4, T, Q> diagonal3x4
+ (
+ vec<3, T, Q> const& v
+ )
+ {
+ mat<3, 4, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> diagonal4x4
+ (
+ vec<4, T, Q> const& v
+ )
+ {
+ mat<4, 4, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ Result[3][3] = v[3];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 3, T, Q> diagonal4x3
+ (
+ vec<3, T, Q> const& v
+ )
+ {
+ mat<4, 3, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 2, T, Q> diagonal4x2
+ (
+ vec<2, T, Q> const& v
+ )
+ {
+ mat<4, 2, T, Q> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<2, 2, T, Q> adjugate(mat<2, 2, T, Q> const& m)
+ {
+ return mat<2, 2, T, Q>(
+ +m[1][1], -m[1][0],
+ -m[0][1], +m[0][0]);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> adjugate(mat<3, 3, T, Q> const& m)
+ {
+ T const m00 = determinant(mat<2, 2, T, Q>(m[1][1], m[2][1], m[1][2], m[2][2]));
+ T const m01 = determinant(mat<2, 2, T, Q>(m[0][1], m[2][1], m[0][2], m[2][2]));
+ T const m02 = determinant(mat<2, 2, T, Q>(m[0][1], m[1][1], m[0][2], m[1][2]));
+
+ T const m10 = determinant(mat<2, 2, T, Q>(m[1][0], m[2][0], m[1][2], m[2][2]));
+ T const m11 = determinant(mat<2, 2, T, Q>(m[0][0], m[2][0], m[0][2], m[2][2]));
+ T const m12 = determinant(mat<2, 2, T, Q>(m[0][0], m[1][0], m[0][2], m[1][2]));
+
+ T const m20 = determinant(mat<2, 2, T, Q>(m[1][0], m[2][0], m[1][1], m[2][1]));
+ T const m21 = determinant(mat<2, 2, T, Q>(m[0][0], m[2][0], m[0][1], m[2][1]));
+ T const m22 = determinant(mat<2, 2, T, Q>(m[0][0], m[1][0], m[0][1], m[1][1]));
+
+ return mat<3, 3, T, Q>(
+ +m00, -m01, +m02,
+ -m10, +m11, -m12,
+ +m20, -m21, +m22);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> adjugate(mat<4, 4, T, Q> const& m)
+ {
+ T const m00 = determinant(mat<3, 3, T, Q>(m[1][1], m[1][2], m[1][3], m[2][1], m[2][2], m[2][3], m[3][1], m[3][2], m[3][3]));
+ T const m01 = determinant(mat<3, 3, T, Q>(m[1][0], m[1][2], m[1][3], m[2][0], m[2][2], m[2][3], m[3][0], m[3][2], m[3][3]));
+ T const m02 = determinant(mat<3, 3, T, Q>(m[1][0], m[1][1], m[1][3], m[2][0], m[2][2], m[2][3], m[3][0], m[3][1], m[3][3]));
+ T const m03 = determinant(mat<3, 3, T, Q>(m[1][0], m[1][1], m[1][2], m[2][0], m[2][1], m[2][2], m[3][0], m[3][1], m[3][2]));
+
+ T const m10 = determinant(mat<3, 3, T, Q>(m[0][1], m[0][2], m[0][3], m[2][1], m[2][2], m[2][3], m[3][1], m[3][2], m[3][3]));
+ T const m11 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][2], m[0][3], m[2][0], m[2][2], m[2][3], m[3][0], m[3][2], m[3][3]));
+ T const m12 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][1], m[0][3], m[2][0], m[2][1], m[2][3], m[3][0], m[3][1], m[3][3]));
+ T const m13 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][1], m[0][2], m[2][0], m[2][1], m[2][2], m[3][0], m[3][1], m[3][2]));
+
+ T const m20 = determinant(mat<3, 3, T, Q>(m[0][1], m[0][2], m[0][3], m[1][1], m[1][2], m[1][3], m[3][1], m[3][2], m[3][3]));
+ T const m21 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][2], m[0][3], m[1][0], m[1][2], m[1][3], m[3][0], m[3][2], m[3][3]));
+ T const m22 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][1], m[0][3], m[1][0], m[1][1], m[1][3], m[3][0], m[3][1], m[3][3]));
+ T const m23 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][1], m[0][2], m[1][0], m[1][1], m[1][2], m[3][0], m[3][1], m[3][2]));
+
+ T const m30 = determinant(mat<3, 3, T, Q>(m[0][1], m[0][2], m[0][3], m[1][1], m[1][2], m[1][3], m[2][1], m[2][2], m[2][3]));
+ T const m31 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][2], m[0][3], m[1][0], m[1][2], m[1][3], m[2][0], m[2][2], m[2][3]));
+ T const m32 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][1], m[0][3], m[1][0], m[1][1], m[1][3], m[2][0], m[2][1], m[2][3]));
+ T const m33 = determinant(mat<3, 3, T, Q>(m[0][0], m[0][1], m[0][2], m[1][0], m[1][1], m[1][2], m[2][0], m[2][1], m[2][2]));
+
+ return mat<4, 4, T, Q>(
+ +m00, -m01, +m02, -m03,
+ -m10, +m11, -m12, +m13,
+ +m20, -m21, +m22, -m23,
+ -m30, +m31, -m32, +m33);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/matrix_query.hpp b/src/include/glm/gtx/matrix_query.hpp
new file mode 100644
index 0000000..a1b6116
--- /dev/null
+++ b/src/include/glm/gtx/matrix_query.hpp
@@ -0,0 +1,77 @@
+/// @ref gtx_matrix_query
+/// @file glm/gtx/matrix_query.hpp
+///
+/// @see core (dependence)
+/// @see gtx_vector_query (dependence)
+///
+/// @defgroup gtx_matrix_query GLM_GTX_matrix_query
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_query.hpp> to use the features of this extension.
+///
+/// Query to evaluate matrix properties
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/vector_query.hpp"
+#include <limits>
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_query is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_query extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_query
+ /// @{
+
+ /// Return whether a matrix a null matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNull(mat<2, 2, T, Q> const& m, T const& epsilon);
+
+ /// Return whether a matrix a null matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNull(mat<3, 3, T, Q> const& m, T const& epsilon);
+
+ /// Return whether a matrix is a null matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNull(mat<4, 4, T, Q> const& m, T const& epsilon);
+
+ /// Return whether a matrix is an identity matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<length_t C, length_t R, typename T, qualifier Q, template<length_t, length_t, typename, qualifier> class matType>
+ GLM_FUNC_DECL bool isIdentity(matType<C, R, T, Q> const& m, T const& epsilon);
+
+ /// Return whether a matrix is a normalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNormalized(mat<2, 2, T, Q> const& m, T const& epsilon);
+
+ /// Return whether a matrix is a normalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNormalized(mat<3, 3, T, Q> const& m, T const& epsilon);
+
+ /// Return whether a matrix is a normalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNormalized(mat<4, 4, T, Q> const& m, T const& epsilon);
+
+ /// Return whether a matrix is an orthonormalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<length_t C, length_t R, typename T, qualifier Q, template<length_t, length_t, typename, qualifier> class matType>
+ GLM_FUNC_DECL bool isOrthogonal(matType<C, R, T, Q> const& m, T const& epsilon);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_query.inl"
diff --git a/src/include/glm/gtx/matrix_query.inl b/src/include/glm/gtx/matrix_query.inl
new file mode 100644
index 0000000..e181a80
--- /dev/null
+++ b/src/include/glm/gtx/matrix_query.inl
@@ -0,0 +1,113 @@
+/// @ref gtx_matrix_query
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNull(mat<2, 2, T, Q> const& m, T const& epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m.length() ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNull(mat<3, 3, T, Q> const& m, T const& epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m.length() ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNull(mat<4, 4, T, Q> const& m, T const& epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m.length() ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isIdentity(mat<C, R, T, Q> const& m, T const& epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m[0].length() ; ++i)
+ {
+ for(length_t j = 0; result && j < i ; ++j)
+ result = abs(m[i][j]) <= epsilon;
+ if(result)
+ result = abs(m[i][i] - 1) <= epsilon;
+ for(length_t j = i + 1; result && j < m.length(); ++j)
+ result = abs(m[i][j]) <= epsilon;
+ }
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNormalized(mat<2, 2, T, Q> const& m, T const& epsilon)
+ {
+ bool result(true);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename mat<2, 2, T, Q>::col_type v;
+ for(length_t j = 0; j < m.length(); ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNormalized(mat<3, 3, T, Q> const& m, T const& epsilon)
+ {
+ bool result(true);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename mat<3, 3, T, Q>::col_type v;
+ for(length_t j = 0; j < m.length(); ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNormalized(mat<4, 4, T, Q> const& m, T const& epsilon)
+ {
+ bool result(true);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename mat<4, 4, T, Q>::col_type v;
+ for(length_t j = 0; j < m.length(); ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<length_t C, length_t R, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isOrthogonal(mat<C, R, T, Q> const& m, T const& epsilon)
+ {
+ bool result = true;
+ for(length_t i(0); result && i < m.length() - 1; ++i)
+ for(length_t j(i + 1); result && j < m.length(); ++j)
+ result = areOrthogonal(m[i], m[j], epsilon);
+
+ if(result)
+ {
+ mat<C, R, T, Q> tmp = transpose(m);
+ for(length_t i(0); result && i < m.length() - 1 ; ++i)
+ for(length_t j(i + 1); result && j < m.length(); ++j)
+ result = areOrthogonal(tmp[i], tmp[j], epsilon);
+ }
+ return result;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/matrix_transform_2d.hpp b/src/include/glm/gtx/matrix_transform_2d.hpp
new file mode 100644
index 0000000..a88b268
--- /dev/null
+++ b/src/include/glm/gtx/matrix_transform_2d.hpp
@@ -0,0 +1,81 @@
+/// @ref gtx_matrix_transform_2d
+/// @file glm/gtx/matrix_transform_2d.hpp
+/// @author Miguel Ãngel Pérez Martínez
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_transform_2d GLM_GTX_matrix_transform_2d
+/// @ingroup gtx
+///
+/// Include <glm/gtx/matrix_transform_2d.hpp> to use the features of this extension.
+///
+/// Defines functions that generate common 2d transformation matrices.
+
+#pragma once
+
+// Dependency:
+#include "../mat3x3.hpp"
+#include "../vec2.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_matrix_transform_2d is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_matrix_transform_2d extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_transform_2d
+ /// @{
+
+ /// Builds a translation 3 * 3 matrix created from a vector of 2 components.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param v Coordinates of a translation vector.
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> translate(
+ mat<3, 3, T, Q> const& m,
+ vec<2, T, Q> const& v);
+
+ /// Builds a rotation 3 * 3 matrix created from an angle.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param angle Rotation angle expressed in radians.
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> rotate(
+ mat<3, 3, T, Q> const& m,
+ T angle);
+
+ /// Builds a scale 3 * 3 matrix created from a vector of 2 components.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param v Coordinates of a scale vector.
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> scale(
+ mat<3, 3, T, Q> const& m,
+ vec<2, T, Q> const& v);
+
+ /// Builds an horizontal (parallel to the x axis) shear 3 * 3 matrix.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param y Shear factor.
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> shearX(
+ mat<3, 3, T, Q> const& m,
+ T y);
+
+ /// Builds a vertical (parallel to the y axis) shear 3 * 3 matrix.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param x Shear factor.
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> shearY(
+ mat<3, 3, T, Q> const& m,
+ T x);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_transform_2d.inl"
diff --git a/src/include/glm/gtx/matrix_transform_2d.inl b/src/include/glm/gtx/matrix_transform_2d.inl
new file mode 100644
index 0000000..755508a
--- /dev/null
+++ b/src/include/glm/gtx/matrix_transform_2d.inl
@@ -0,0 +1,68 @@
+/// @ref gtx_matrix_transform_2d
+/// @author Miguel Ãngel Pérez Martínez
+
+#include "../trigonometric.hpp"
+
+namespace glm
+{
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> translate(
+ mat<3, 3, T, Q> const& m,
+ vec<2, T, Q> const& v)
+ {
+ mat<3, 3, T, Q> Result(m);
+ Result[2] = m[0] * v[0] + m[1] * v[1] + m[2];
+ return Result;
+ }
+
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> rotate(
+ mat<3, 3, T, Q> const& m,
+ T angle)
+ {
+ T const a = angle;
+ T const c = cos(a);
+ T const s = sin(a);
+
+ mat<3, 3, T, Q> Result;
+ Result[0] = m[0] * c + m[1] * s;
+ Result[1] = m[0] * -s + m[1] * c;
+ Result[2] = m[2];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> scale(
+ mat<3, 3, T, Q> const& m,
+ vec<2, T, Q> const& v)
+ {
+ mat<3, 3, T, Q> Result;
+ Result[0] = m[0] * v[0];
+ Result[1] = m[1] * v[1];
+ Result[2] = m[2];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> shearX(
+ mat<3, 3, T, Q> const& m,
+ T y)
+ {
+ mat<3, 3, T, Q> Result(1);
+ Result[0][1] = y;
+ return m * Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> shearY(
+ mat<3, 3, T, Q> const& m,
+ T x)
+ {
+ mat<3, 3, T, Q> Result(1);
+ Result[1][0] = x;
+ return m * Result;
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/mixed_product.hpp b/src/include/glm/gtx/mixed_product.hpp
new file mode 100644
index 0000000..559a69d
--- /dev/null
+++ b/src/include/glm/gtx/mixed_product.hpp
@@ -0,0 +1,41 @@
+/// @ref gtx_mixed_product
+/// @file glm/gtx/mixed_product.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_mixed_product GLM_GTX_mixed_producte
+/// @ingroup gtx
+///
+/// Include <glm/gtx/mixed_product.hpp> to use the features of this extension.
+///
+/// Mixed product of 3 vectors.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_mixed_product is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_mixed_product extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_mixed_product
+ /// @{
+
+ /// @brief Mixed product of 3 vectors (from GLM_GTX_mixed_product extension)
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T mixedProduct(
+ vec<3, T, Q> const& v1,
+ vec<3, T, Q> const& v2,
+ vec<3, T, Q> const& v3);
+
+ /// @}
+}// namespace glm
+
+#include "mixed_product.inl"
diff --git a/src/include/glm/gtx/mixed_product.inl b/src/include/glm/gtx/mixed_product.inl
new file mode 100644
index 0000000..668246d
--- /dev/null
+++ b/src/include/glm/gtx/mixed_product.inl
@@ -0,0 +1,15 @@
+/// @ref gtx_mixed_product
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T mixedProduct
+ (
+ vec<3, T, Q> const& v1,
+ vec<3, T, Q> const& v2,
+ vec<3, T, Q> const& v3
+ )
+ {
+ return dot(cross(v1, v2), v3);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/norm.hpp b/src/include/glm/gtx/norm.hpp
new file mode 100644
index 0000000..59ede93
--- /dev/null
+++ b/src/include/glm/gtx/norm.hpp
@@ -0,0 +1,88 @@
+/// @ref gtx_norm
+/// @file glm/gtx/norm.hpp
+///
+/// @see core (dependence)
+/// @see gtx_quaternion (dependence)
+/// @see gtx_component_wise (dependence)
+///
+/// @defgroup gtx_norm GLM_GTX_norm
+/// @ingroup gtx
+///
+/// Include <glm/gtx/norm.hpp> to use the features of this extension.
+///
+/// Various ways to compute vector norms.
+
+#pragma once
+
+// Dependency:
+#include "../geometric.hpp"
+#include "../gtx/quaternion.hpp"
+#include "../gtx/component_wise.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_norm is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_norm extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_norm
+ /// @{
+
+ /// Returns the squared length of x.
+ /// From GLM_GTX_norm extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL T length2(vec<L, T, Q> const& x);
+
+ /// Returns the squared distance between p0 and p1, i.e., length2(p0 - p1).
+ /// From GLM_GTX_norm extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL T distance2(vec<L, T, Q> const& p0, vec<L, T, Q> const& p1);
+
+ //! Returns the L1 norm between x and y.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T l1Norm(vec<3, T, Q> const& x, vec<3, T, Q> const& y);
+
+ //! Returns the L1 norm of v.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T l1Norm(vec<3, T, Q> const& v);
+
+ //! Returns the L2 norm between x and y.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T l2Norm(vec<3, T, Q> const& x, vec<3, T, Q> const& y);
+
+ //! Returns the L2 norm of v.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T l2Norm(vec<3, T, Q> const& x);
+
+ //! Returns the L norm between x and y.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T lxNorm(vec<3, T, Q> const& x, vec<3, T, Q> const& y, unsigned int Depth);
+
+ //! Returns the L norm of v.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T lxNorm(vec<3, T, Q> const& x, unsigned int Depth);
+
+ //! Returns the LMax norm between x and y.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T lMaxNorm(vec<3, T, Q> const& x, vec<3, T, Q> const& y);
+
+ //! Returns the LMax norm of v.
+ //! From GLM_GTX_norm extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T lMaxNorm(vec<3, T, Q> const& x);
+
+ /// @}
+}//namespace glm
+
+#include "norm.inl"
diff --git a/src/include/glm/gtx/norm.inl b/src/include/glm/gtx/norm.inl
new file mode 100644
index 0000000..9b9ec0b
--- /dev/null
+++ b/src/include/glm/gtx/norm.inl
@@ -0,0 +1,95 @@
+/// @ref gtx_norm
+
+#include "../detail/qualifier.hpp"
+
+namespace glm{
+namespace detail
+{
+ template<length_t L, typename T, qualifier Q, bool Aligned>
+ struct compute_length2
+ {
+ GLM_FUNC_QUALIFIER static T call(vec<L, T, Q> const& v)
+ {
+ return dot(v, v);
+ }
+ };
+}//namespace detail
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType length2(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'length2' accepts only floating-point inputs");
+ return x * x;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T length2(vec<L, T, Q> const& v)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'length2' accepts only floating-point inputs");
+ return detail::compute_length2<L, T, Q, detail::is_aligned<Q>::value>::call(v);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER T distance2(T p0, T p1)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'distance2' accepts only floating-point inputs");
+ return length2(p1 - p0);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T distance2(vec<L, T, Q> const& p0, vec<L, T, Q> const& p1)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'distance2' accepts only floating-point inputs");
+ return length2(p1 - p0);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T l1Norm(vec<3, T, Q> const& a, vec<3, T, Q> const& b)
+ {
+ return abs(b.x - a.x) + abs(b.y - a.y) + abs(b.z - a.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T l1Norm(vec<3, T, Q> const& v)
+ {
+ return abs(v.x) + abs(v.y) + abs(v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T l2Norm(vec<3, T, Q> const& a, vec<3, T, Q> const& b
+ )
+ {
+ return length(b - a);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T l2Norm(vec<3, T, Q> const& v)
+ {
+ return length(v);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T lxNorm(vec<3, T, Q> const& x, vec<3, T, Q> const& y, unsigned int Depth)
+ {
+ return pow(pow(abs(y.x - x.x), T(Depth)) + pow(abs(y.y - x.y), T(Depth)) + pow(abs(y.z - x.z), T(Depth)), T(1) / T(Depth));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T lxNorm(vec<3, T, Q> const& v, unsigned int Depth)
+ {
+ return pow(pow(abs(v.x), T(Depth)) + pow(abs(v.y), T(Depth)) + pow(abs(v.z), T(Depth)), T(1) / T(Depth));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T lMaxNorm(vec<3, T, Q> const& a, vec<3, T, Q> const& b)
+ {
+ return compMax(abs(b - a));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T lMaxNorm(vec<3, T, Q> const& v)
+ {
+ return compMax(abs(v));
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/normal.hpp b/src/include/glm/gtx/normal.hpp
new file mode 100644
index 0000000..e816e82
--- /dev/null
+++ b/src/include/glm/gtx/normal.hpp
@@ -0,0 +1,41 @@
+/// @ref gtx_normal
+/// @file glm/gtx/normal.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_normal GLM_GTX_normal
+/// @ingroup gtx
+///
+/// Include <glm/gtx/normal.hpp> to use the features of this extension.
+///
+/// Compute the normal of a triangle.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_normal is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_normal extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_normal
+ /// @{
+
+ /// Computes triangle normal from triangle points.
+ ///
+ /// @see gtx_normal
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> triangleNormal(vec<3, T, Q> const& p1, vec<3, T, Q> const& p2, vec<3, T, Q> const& p3);
+
+ /// @}
+}//namespace glm
+
+#include "normal.inl"
diff --git a/src/include/glm/gtx/normal.inl b/src/include/glm/gtx/normal.inl
new file mode 100644
index 0000000..03f566d
--- /dev/null
+++ b/src/include/glm/gtx/normal.inl
@@ -0,0 +1,15 @@
+/// @ref gtx_normal
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> triangleNormal
+ (
+ vec<3, T, Q> const& p1,
+ vec<3, T, Q> const& p2,
+ vec<3, T, Q> const& p3
+ )
+ {
+ return normalize(cross(p1 - p2, p1 - p3));
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/normalize_dot.hpp b/src/include/glm/gtx/normalize_dot.hpp
new file mode 100644
index 0000000..769b89c
--- /dev/null
+++ b/src/include/glm/gtx/normalize_dot.hpp
@@ -0,0 +1,49 @@
+/// @ref gtx_normalize_dot
+/// @file glm/gtx/normalize_dot.hpp
+///
+/// @see core (dependence)
+/// @see gtx_fast_square_root (dependence)
+///
+/// @defgroup gtx_normalize_dot GLM_GTX_normalize_dot
+/// @ingroup gtx
+///
+/// Include <glm/gtx/normalized_dot.hpp> to use the features of this extension.
+///
+/// Dot product of vectors that need to be normalize with a single square root.
+
+#pragma once
+
+// Dependency:
+#include "../gtx/fast_square_root.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_normalize_dot is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_normalize_dot extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_normalize_dot
+ /// @{
+
+ /// Normalize parameters and returns the dot product of x and y.
+ /// It's faster that dot(normalize(x), normalize(y)).
+ ///
+ /// @see gtx_normalize_dot extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL T normalizeDot(vec<L, T, Q> const& x, vec<L, T, Q> const& y);
+
+ /// Normalize parameters and returns the dot product of x and y.
+ /// Faster that dot(fastNormalize(x), fastNormalize(y)).
+ ///
+ /// @see gtx_normalize_dot extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL T fastNormalizeDot(vec<L, T, Q> const& x, vec<L, T, Q> const& y);
+
+ /// @}
+}//namespace glm
+
+#include "normalize_dot.inl"
diff --git a/src/include/glm/gtx/normalize_dot.inl b/src/include/glm/gtx/normalize_dot.inl
new file mode 100644
index 0000000..9c720b4
--- /dev/null
+++ b/src/include/glm/gtx/normalize_dot.inl
@@ -0,0 +1,16 @@
+/// @ref gtx_normalize_dot
+
+namespace glm
+{
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T normalizeDot(vec<L, T, Q> const& x, vec<L, T, Q> const& y)
+ {
+ return glm::dot(x, y) * glm::inversesqrt(glm::dot(x, x) * glm::dot(y, y));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T fastNormalizeDot(vec<L, T, Q> const& x, vec<L, T, Q> const& y)
+ {
+ return glm::dot(x, y) * glm::fastInverseSqrt(glm::dot(x, x) * glm::dot(y, y));
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/number_precision.hpp b/src/include/glm/gtx/number_precision.hpp
new file mode 100644
index 0000000..6ac11a2
--- /dev/null
+++ b/src/include/glm/gtx/number_precision.hpp
@@ -0,0 +1,61 @@
+/// @ref gtx_number_precision
+/// @file glm/gtx/number_precision.hpp
+///
+/// @see core (dependence)
+/// @see gtc_type_precision (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_number_precision GLM_GTX_number_precision
+/// @ingroup gtx
+///
+/// Include <glm/gtx/number_precision.hpp> to use the features of this extension.
+///
+/// Defined size types.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/type_precision.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_number_precision is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_number_precision extension included")
+# endif
+#endif
+
+namespace glm{
+namespace gtx
+{
+ /////////////////////////////
+ // Unsigned int vector types
+
+ /// @addtogroup gtx_number_precision
+ /// @{
+
+ typedef u8 u8vec1; //!< \brief 8bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+ typedef u16 u16vec1; //!< \brief 16bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+ typedef u32 u32vec1; //!< \brief 32bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+ typedef u64 u64vec1; //!< \brief 64bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+
+ //////////////////////
+ // Float vector types
+
+ typedef f32 f32vec1; //!< \brief Single-qualifier floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f64 f64vec1; //!< \brief Single-qualifier floating-point scalar. (from GLM_GTX_number_precision extension)
+
+ //////////////////////
+ // Float matrix types
+
+ typedef f32 f32mat1; //!< \brief Single-qualifier floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f32 f32mat1x1; //!< \brief Single-qualifier floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f64 f64mat1; //!< \brief Double-qualifier floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f64 f64mat1x1; //!< \brief Double-qualifier floating-point scalar. (from GLM_GTX_number_precision extension)
+
+ /// @}
+}//namespace gtx
+}//namespace glm
+
+#include "number_precision.inl"
diff --git a/src/include/glm/gtx/number_precision.inl b/src/include/glm/gtx/number_precision.inl
new file mode 100644
index 0000000..fd4fee7
--- /dev/null
+++ b/src/include/glm/gtx/number_precision.inl
@@ -0,0 +1,6 @@
+/// @ref gtx_number_precision
+
+namespace glm
+{
+
+}
diff --git a/src/include/glm/gtx/optimum_pow.hpp b/src/include/glm/gtx/optimum_pow.hpp
new file mode 100644
index 0000000..0fd49a7
--- /dev/null
+++ b/src/include/glm/gtx/optimum_pow.hpp
@@ -0,0 +1,54 @@
+/// @ref gtx_optimum_pow
+/// @file glm/gtx/optimum_pow.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_optimum_pow GLM_GTX_optimum_pow
+/// @ingroup gtx
+///
+/// Include <glm/gtx/optimum_pow.hpp> to use the features of this extension.
+///
+/// Integer exponentiation of power functions.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_optimum_pow is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_optimum_pow extension included")
+# endif
+#endif
+
+namespace glm{
+namespace gtx
+{
+ /// @addtogroup gtx_optimum_pow
+ /// @{
+
+ /// Returns x raised to the power of 2.
+ ///
+ /// @see gtx_optimum_pow
+ template<typename genType>
+ GLM_FUNC_DECL genType pow2(genType const& x);
+
+ /// Returns x raised to the power of 3.
+ ///
+ /// @see gtx_optimum_pow
+ template<typename genType>
+ GLM_FUNC_DECL genType pow3(genType const& x);
+
+ /// Returns x raised to the power of 4.
+ ///
+ /// @see gtx_optimum_pow
+ template<typename genType>
+ GLM_FUNC_DECL genType pow4(genType const& x);
+
+ /// @}
+}//namespace gtx
+}//namespace glm
+
+#include "optimum_pow.inl"
diff --git a/src/include/glm/gtx/optimum_pow.inl b/src/include/glm/gtx/optimum_pow.inl
new file mode 100644
index 0000000..2f7242b
--- /dev/null
+++ b/src/include/glm/gtx/optimum_pow.inl
@@ -0,0 +1,22 @@
+/// @ref gtx_optimum_pow
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType pow2(genType const& x)
+ {
+ return x * x;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType pow3(genType const& x)
+ {
+ return x * x * x;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType pow4(genType const& x)
+ {
+ return (x * x) * (x * x);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/orthonormalize.hpp b/src/include/glm/gtx/orthonormalize.hpp
new file mode 100644
index 0000000..9772c9f
--- /dev/null
+++ b/src/include/glm/gtx/orthonormalize.hpp
@@ -0,0 +1,49 @@
+/// @ref gtx_orthonormalize
+/// @file glm/gtx/orthonormalize.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_orthonormalize GLM_GTX_orthonormalize
+/// @ingroup gtx
+///
+/// Include <glm/gtx/orthonormalize.hpp> to use the features of this extension.
+///
+/// Orthonormalize matrices.
+
+#pragma once
+
+// Dependency:
+#include "../vec3.hpp"
+#include "../mat3x3.hpp"
+#include "../geometric.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_orthonormalize is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_orthonormalize extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_orthonormalize
+ /// @{
+
+ /// Returns the orthonormalized matrix of m.
+ ///
+ /// @see gtx_orthonormalize
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> orthonormalize(mat<3, 3, T, Q> const& m);
+
+ /// Orthonormalizes x according y.
+ ///
+ /// @see gtx_orthonormalize
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> orthonormalize(vec<3, T, Q> const& x, vec<3, T, Q> const& y);
+
+ /// @}
+}//namespace glm
+
+#include "orthonormalize.inl"
diff --git a/src/include/glm/gtx/orthonormalize.inl b/src/include/glm/gtx/orthonormalize.inl
new file mode 100644
index 0000000..7ebe0fa
--- /dev/null
+++ b/src/include/glm/gtx/orthonormalize.inl
@@ -0,0 +1,29 @@
+/// @ref gtx_orthonormalize
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> orthonormalize(mat<3, 3, T, Q> const& m)
+ {
+ mat<3, 3, T, Q> r = m;
+
+ r[0] = normalize(r[0]);
+
+ T d0 = dot(r[0], r[1]);
+ r[1] -= r[0] * d0;
+ r[1] = normalize(r[1]);
+
+ T d1 = dot(r[1], r[2]);
+ d0 = dot(r[0], r[2]);
+ r[2] -= r[0] * d0 + r[1] * d1;
+ r[2] = normalize(r[2]);
+
+ return r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> orthonormalize(vec<3, T, Q> const& x, vec<3, T, Q> const& y)
+ {
+ return normalize(x - y * dot(y, x));
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/perpendicular.hpp b/src/include/glm/gtx/perpendicular.hpp
new file mode 100644
index 0000000..3546812
--- /dev/null
+++ b/src/include/glm/gtx/perpendicular.hpp
@@ -0,0 +1,41 @@
+/// @ref gtx_perpendicular
+/// @file glm/gtx/perpendicular.hpp
+///
+/// @see core (dependence)
+/// @see gtx_projection (dependence)
+///
+/// @defgroup gtx_perpendicular GLM_GTX_perpendicular
+/// @ingroup gtx
+///
+/// Include <glm/gtx/perpendicular.hpp> to use the features of this extension.
+///
+/// Perpendicular of a vector from other one
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/projection.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_perpendicular is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_perpendicular extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_perpendicular
+ /// @{
+
+ //! Projects x a perpendicular axis of Normal.
+ //! From GLM_GTX_perpendicular extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType perp(genType const& x, genType const& Normal);
+
+ /// @}
+}//namespace glm
+
+#include "perpendicular.inl"
diff --git a/src/include/glm/gtx/perpendicular.inl b/src/include/glm/gtx/perpendicular.inl
new file mode 100644
index 0000000..4260648
--- /dev/null
+++ b/src/include/glm/gtx/perpendicular.inl
@@ -0,0 +1,10 @@
+/// @ref gtx_perpendicular
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType perp(genType const& x, genType const& Normal)
+ {
+ return x - proj(x, Normal);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/polar_coordinates.hpp b/src/include/glm/gtx/polar_coordinates.hpp
new file mode 100644
index 0000000..31d06f1
--- /dev/null
+++ b/src/include/glm/gtx/polar_coordinates.hpp
@@ -0,0 +1,48 @@
+/// @ref gtx_polar_coordinates
+/// @file glm/gtx/polar_coordinates.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_polar_coordinates GLM_GTX_polar_coordinates
+/// @ingroup gtx
+///
+/// Include <glm/gtx/polar_coordinates.hpp> to use the features of this extension.
+///
+/// Conversion from Euclidean space to polar space and revert.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_polar_coordinates is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_polar_coordinates extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_polar_coordinates
+ /// @{
+
+ /// Convert Euclidean to Polar coordinates, x is the latitude, y the longitude and z the xz distance.
+ ///
+ /// @see gtx_polar_coordinates
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> polar(
+ vec<3, T, Q> const& euclidean);
+
+ /// Convert Polar to Euclidean coordinates.
+ ///
+ /// @see gtx_polar_coordinates
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> euclidean(
+ vec<2, T, Q> const& polar);
+
+ /// @}
+}//namespace glm
+
+#include "polar_coordinates.inl"
diff --git a/src/include/glm/gtx/polar_coordinates.inl b/src/include/glm/gtx/polar_coordinates.inl
new file mode 100644
index 0000000..2c285dd
--- /dev/null
+++ b/src/include/glm/gtx/polar_coordinates.inl
@@ -0,0 +1,36 @@
+/// @ref gtx_polar_coordinates
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> polar
+ (
+ vec<3, T, Q> const& euclidean
+ )
+ {
+ T const Length(length(euclidean));
+ vec<3, T, Q> const tmp(euclidean / Length);
+ T const xz_dist(sqrt(tmp.x * tmp.x + tmp.z * tmp.z));
+
+ return vec<3, T, Q>(
+ asin(tmp.y), // latitude
+ atan(tmp.x, tmp.z), // longitude
+ xz_dist); // xz distance
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> euclidean
+ (
+ vec<2, T, Q> const& polar
+ )
+ {
+ T const latitude(polar.x);
+ T const longitude(polar.y);
+
+ return vec<3, T, Q>(
+ cos(latitude) * sin(longitude),
+ sin(latitude),
+ cos(latitude) * cos(longitude));
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/projection.hpp b/src/include/glm/gtx/projection.hpp
new file mode 100644
index 0000000..06cc800
--- /dev/null
+++ b/src/include/glm/gtx/projection.hpp
@@ -0,0 +1,43 @@
+/// @ref gtx_projection
+/// @file glm/gtx/projection.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_projection GLM_GTX_projection
+/// @ingroup gtx
+///
+/// Include <glm/gtx/projection.hpp> to use the features of this extension.
+///
+/// Projection of a vector to other one
+
+#pragma once
+
+// Dependency:
+#include "../geometric.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_projection is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_projection extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_projection
+ /// @{
+
+ /// Projects x on Normal.
+ ///
+ /// @param[in] x A vector to project
+ /// @param[in] Normal A normal that doesn't need to be of unit length.
+ ///
+ /// @see gtx_projection
+ template<typename genType>
+ GLM_FUNC_DECL genType proj(genType const& x, genType const& Normal);
+
+ /// @}
+}//namespace glm
+
+#include "projection.inl"
diff --git a/src/include/glm/gtx/projection.inl b/src/include/glm/gtx/projection.inl
new file mode 100644
index 0000000..afdd2c3
--- /dev/null
+++ b/src/include/glm/gtx/projection.inl
@@ -0,0 +1,10 @@
+/// @ref gtx_projection
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType proj(genType const& x, genType const& Normal)
+ {
+ return glm::dot(x, Normal) / glm::dot(Normal, Normal) * Normal;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/quaternion.hpp b/src/include/glm/gtx/quaternion.hpp
new file mode 100644
index 0000000..04cb679
--- /dev/null
+++ b/src/include/glm/gtx/quaternion.hpp
@@ -0,0 +1,174 @@
+/// @ref gtx_quaternion
+/// @file glm/gtx/quaternion.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_quaternion GLM_GTX_quaternion
+/// @ingroup gtx
+///
+/// Include <glm/gtx/quaternion.hpp> to use the features of this extension.
+///
+/// Extented quaternion types and functions
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/constants.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../ext/quaternion_exponential.hpp"
+#include "../gtx/norm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_quaternion is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_quaternion extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_quaternion
+ /// @{
+
+ /// Create an identity quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL GLM_CONSTEXPR qua<T, Q> quat_identity();
+
+ /// Compute a cross product between a quaternion and a vector.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> cross(
+ qua<T, Q> const& q,
+ vec<3, T, Q> const& v);
+
+ //! Compute a cross product between a vector and a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> cross(
+ vec<3, T, Q> const& v,
+ qua<T, Q> const& q);
+
+ //! Compute a point on a path according squad equation.
+ //! q1 and q2 are control points; s1 and s2 are intermediate control points.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> squad(
+ qua<T, Q> const& q1,
+ qua<T, Q> const& q2,
+ qua<T, Q> const& s1,
+ qua<T, Q> const& s2,
+ T const& h);
+
+ //! Returns an intermediate control point for squad interpolation.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> intermediate(
+ qua<T, Q> const& prev,
+ qua<T, Q> const& curr,
+ qua<T, Q> const& next);
+
+ //! Returns quarternion square root.
+ ///
+ /// @see gtx_quaternion
+ //template<typename T, qualifier Q>
+ //qua<T, Q> sqrt(
+ // qua<T, Q> const& q);
+
+ //! Rotates a 3 components vector by a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rotate(
+ qua<T, Q> const& q,
+ vec<3, T, Q> const& v);
+
+ /// Rotates a 4 components vector by a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> rotate(
+ qua<T, Q> const& q,
+ vec<4, T, Q> const& v);
+
+ /// Extract the real component of a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T extractRealComponent(
+ qua<T, Q> const& q);
+
+ /// Converts a quaternion to a 3 * 3 matrix.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> toMat3(
+ qua<T, Q> const& x){return mat3_cast(x);}
+
+ /// Converts a quaternion to a 4 * 4 matrix.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> toMat4(
+ qua<T, Q> const& x){return mat4_cast(x);}
+
+ /// Converts a 3 * 3 matrix to a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> toQuat(
+ mat<3, 3, T, Q> const& x){return quat_cast(x);}
+
+ /// Converts a 4 * 4 matrix to a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> toQuat(
+ mat<4, 4, T, Q> const& x){return quat_cast(x);}
+
+ /// Quaternion interpolation using the rotation short path.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> shortMix(
+ qua<T, Q> const& x,
+ qua<T, Q> const& y,
+ T const& a);
+
+ /// Quaternion normalized linear interpolation.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> fastMix(
+ qua<T, Q> const& x,
+ qua<T, Q> const& y,
+ T const& a);
+
+ /// Compute the rotation between two vectors.
+ /// @param orig vector, needs to be normalized
+ /// @param dest vector, needs to be normalized
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> rotation(
+ vec<3, T, Q> const& orig,
+ vec<3, T, Q> const& dest);
+
+ /// Returns the squared length of x.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL GLM_CONSTEXPR T length2(qua<T, Q> const& q);
+
+ /// @}
+}//namespace glm
+
+#include "quaternion.inl"
diff --git a/src/include/glm/gtx/quaternion.inl b/src/include/glm/gtx/quaternion.inl
new file mode 100644
index 0000000..34aed89
--- /dev/null
+++ b/src/include/glm/gtx/quaternion.inl
@@ -0,0 +1,159 @@
+/// @ref gtx_quaternion
+
+#include <limits>
+#include "../gtc/constants.hpp"
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR qua<T, Q> quat_identity()
+ {
+ return qua<T, Q>(static_cast<T>(1), static_cast<T>(0), static_cast<T>(0), static_cast<T>(0));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> cross(vec<3, T, Q> const& v, qua<T, Q> const& q)
+ {
+ return inverse(q) * v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> cross(qua<T, Q> const& q, vec<3, T, Q> const& v)
+ {
+ return q * v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER qua<T, Q> squad
+ (
+ qua<T, Q> const& q1,
+ qua<T, Q> const& q2,
+ qua<T, Q> const& s1,
+ qua<T, Q> const& s2,
+ T const& h)
+ {
+ return mix(mix(q1, q2, h), mix(s1, s2, h), static_cast<T>(2) * (static_cast<T>(1) - h) * h);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER qua<T, Q> intermediate
+ (
+ qua<T, Q> const& prev,
+ qua<T, Q> const& curr,
+ qua<T, Q> const& next
+ )
+ {
+ qua<T, Q> invQuat = inverse(curr);
+ return exp((log(next * invQuat) + log(prev * invQuat)) / static_cast<T>(-4)) * curr;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rotate(qua<T, Q> const& q, vec<3, T, Q> const& v)
+ {
+ return q * v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> rotate(qua<T, Q> const& q, vec<4, T, Q> const& v)
+ {
+ return q * v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T extractRealComponent(qua<T, Q> const& q)
+ {
+ T w = static_cast<T>(1) - q.x * q.x - q.y * q.y - q.z * q.z;
+ if(w < T(0))
+ return T(0);
+ else
+ return -sqrt(w);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR T length2(qua<T, Q> const& q)
+ {
+ return q.x * q.x + q.y * q.y + q.z * q.z + q.w * q.w;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER qua<T, Q> shortMix(qua<T, Q> const& x, qua<T, Q> const& y, T const& a)
+ {
+ if(a <= static_cast<T>(0)) return x;
+ if(a >= static_cast<T>(1)) return y;
+
+ T fCos = dot(x, y);
+ qua<T, Q> y2(y); //BUG!!! qua<T> y2;
+ if(fCos < static_cast<T>(0))
+ {
+ y2 = -y;
+ fCos = -fCos;
+ }
+
+ //if(fCos > 1.0f) // problem
+ T k0, k1;
+ if(fCos > (static_cast<T>(1) - epsilon<T>()))
+ {
+ k0 = static_cast<T>(1) - a;
+ k1 = static_cast<T>(0) + a; //BUG!!! 1.0f + a;
+ }
+ else
+ {
+ T fSin = sqrt(T(1) - fCos * fCos);
+ T fAngle = atan(fSin, fCos);
+ T fOneOverSin = static_cast<T>(1) / fSin;
+ k0 = sin((static_cast<T>(1) - a) * fAngle) * fOneOverSin;
+ k1 = sin((static_cast<T>(0) + a) * fAngle) * fOneOverSin;
+ }
+
+ return qua<T, Q>(
+ k0 * x.w + k1 * y2.w,
+ k0 * x.x + k1 * y2.x,
+ k0 * x.y + k1 * y2.y,
+ k0 * x.z + k1 * y2.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER qua<T, Q> fastMix(qua<T, Q> const& x, qua<T, Q> const& y, T const& a)
+ {
+ return glm::normalize(x * (static_cast<T>(1) - a) + (y * a));
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER qua<T, Q> rotation(vec<3, T, Q> const& orig, vec<3, T, Q> const& dest)
+ {
+ T cosTheta = dot(orig, dest);
+ vec<3, T, Q> rotationAxis;
+
+ if(cosTheta >= static_cast<T>(1) - epsilon<T>()) {
+ // orig and dest point in the same direction
+ return quat_identity<T,Q>();
+ }
+
+ if(cosTheta < static_cast<T>(-1) + epsilon<T>())
+ {
+ // special case when vectors in opposite directions :
+ // there is no "ideal" rotation axis
+ // So guess one; any will do as long as it's perpendicular to start
+ // This implementation favors a rotation around the Up axis (Y),
+ // since it's often what you want to do.
+ rotationAxis = cross(vec<3, T, Q>(0, 0, 1), orig);
+ if(length2(rotationAxis) < epsilon<T>()) // bad luck, they were parallel, try again!
+ rotationAxis = cross(vec<3, T, Q>(1, 0, 0), orig);
+
+ rotationAxis = normalize(rotationAxis);
+ return angleAxis(pi<T>(), rotationAxis);
+ }
+
+ // Implementation from Stan Melax's Game Programming Gems 1 article
+ rotationAxis = cross(orig, dest);
+
+ T s = sqrt((T(1) + cosTheta) * static_cast<T>(2));
+ T invs = static_cast<T>(1) / s;
+
+ return qua<T, Q>(
+ s * static_cast<T>(0.5f),
+ rotationAxis.x * invs,
+ rotationAxis.y * invs,
+ rotationAxis.z * invs);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/range.hpp b/src/include/glm/gtx/range.hpp
new file mode 100644
index 0000000..0f85626
--- /dev/null
+++ b/src/include/glm/gtx/range.hpp
@@ -0,0 +1,98 @@
+/// @ref gtx_range
+/// @file glm/gtx/range.hpp
+/// @author Joshua Moerman
+///
+/// @defgroup gtx_range GLM_GTX_range
+/// @ingroup gtx
+///
+/// Include <glm/gtx/range.hpp> to use the features of this extension.
+///
+/// Defines begin and end for vectors and matrices. Useful for range-based for loop.
+/// The range is defined over the elements, not over columns or rows (e.g. mat4 has 16 elements).
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_range is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_range extension included")
+# endif
+#endif
+
+#include "../gtc/type_ptr.hpp"
+#include "../gtc/vec1.hpp"
+
+namespace glm
+{
+ /// @addtogroup gtx_range
+ /// @{
+
+# if GLM_COMPILER & GLM_COMPILER_VC
+# pragma warning(push)
+# pragma warning(disable : 4100) // unreferenced formal parameter
+# endif
+
+ template<typename T, qualifier Q>
+ inline length_t components(vec<1, T, Q> const& v)
+ {
+ return v.length();
+ }
+
+ template<typename T, qualifier Q>
+ inline length_t components(vec<2, T, Q> const& v)
+ {
+ return v.length();
+ }
+
+ template<typename T, qualifier Q>
+ inline length_t components(vec<3, T, Q> const& v)
+ {
+ return v.length();
+ }
+
+ template<typename T, qualifier Q>
+ inline length_t components(vec<4, T, Q> const& v)
+ {
+ return v.length();
+ }
+
+ template<typename genType>
+ inline length_t components(genType const& m)
+ {
+ return m.length() * m[0].length();
+ }
+
+ template<typename genType>
+ inline typename genType::value_type const * begin(genType const& v)
+ {
+ return value_ptr(v);
+ }
+
+ template<typename genType>
+ inline typename genType::value_type const * end(genType const& v)
+ {
+ return begin(v) + components(v);
+ }
+
+ template<typename genType>
+ inline typename genType::value_type * begin(genType& v)
+ {
+ return value_ptr(v);
+ }
+
+ template<typename genType>
+ inline typename genType::value_type * end(genType& v)
+ {
+ return begin(v) + components(v);
+ }
+
+# if GLM_COMPILER & GLM_COMPILER_VC
+# pragma warning(pop)
+# endif
+
+ /// @}
+}//namespace glm
diff --git a/src/include/glm/gtx/raw_data.hpp b/src/include/glm/gtx/raw_data.hpp
new file mode 100644
index 0000000..140ec5d
--- /dev/null
+++ b/src/include/glm/gtx/raw_data.hpp
@@ -0,0 +1,51 @@
+/// @ref gtx_raw_data
+/// @file glm/gtx/raw_data.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_raw_data GLM_GTX_raw_data
+/// @ingroup gtx
+///
+/// Include <glm/gtx/raw_data.hpp> to use the features of this extension.
+///
+/// Projection of a vector to other one
+
+#pragma once
+
+// Dependencies
+#include "../ext/scalar_uint_sized.hpp"
+#include "../detail/setup.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_raw_data is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_raw_data extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_raw_data
+ /// @{
+
+ //! Type for byte numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint8 byte;
+
+ //! Type for word numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint16 word;
+
+ //! Type for dword numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint32 dword;
+
+ //! Type for qword numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint64 qword;
+
+ /// @}
+}// namespace glm
+
+#include "raw_data.inl"
diff --git a/src/include/glm/gtx/raw_data.inl b/src/include/glm/gtx/raw_data.inl
new file mode 100644
index 0000000..5d0d071
--- /dev/null
+++ b/src/include/glm/gtx/raw_data.inl
@@ -0,0 +1,2 @@
+/// @ref gtx_raw_data
+
diff --git a/src/include/glm/gtx/rotate_normalized_axis.hpp b/src/include/glm/gtx/rotate_normalized_axis.hpp
new file mode 100644
index 0000000..18181fd
--- /dev/null
+++ b/src/include/glm/gtx/rotate_normalized_axis.hpp
@@ -0,0 +1,68 @@
+/// @ref gtx_rotate_normalized_axis
+/// @file glm/gtx/rotate_normalized_axis.hpp
+///
+/// @see core (dependence)
+/// @see gtc_matrix_transform
+/// @see gtc_quaternion
+///
+/// @defgroup gtx_rotate_normalized_axis GLM_GTX_rotate_normalized_axis
+/// @ingroup gtx
+///
+/// Include <glm/gtx/rotate_normalized_axis.hpp> to use the features of this extension.
+///
+/// Quaternions and matrices rotations around normalized axis.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/epsilon.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_rotate_normalized_axis is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_rotate_normalized_axis extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_rotate_normalized_axis
+ /// @{
+
+ /// Builds a rotation 4 * 4 matrix created from a normalized axis and an angle.
+ ///
+ /// @param m Input matrix multiplied by this rotation matrix.
+ /// @param angle Rotation angle expressed in radians.
+ /// @param axis Rotation axis, must be normalized.
+ /// @tparam T Value type used to build the matrix. Currently supported: half (not recommended), float or double.
+ ///
+ /// @see gtx_rotate_normalized_axis
+ /// @see - rotate(T angle, T x, T y, T z)
+ /// @see - rotate(mat<4, 4, T, Q> const& m, T angle, T x, T y, T z)
+ /// @see - rotate(T angle, vec<3, T, Q> const& v)
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> rotateNormalizedAxis(
+ mat<4, 4, T, Q> const& m,
+ T const& angle,
+ vec<3, T, Q> const& axis);
+
+ /// Rotates a quaternion from a vector of 3 components normalized axis and an angle.
+ ///
+ /// @param q Source orientation
+ /// @param angle Angle expressed in radians.
+ /// @param axis Normalized axis of the rotation, must be normalized.
+ ///
+ /// @see gtx_rotate_normalized_axis
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL qua<T, Q> rotateNormalizedAxis(
+ qua<T, Q> const& q,
+ T const& angle,
+ vec<3, T, Q> const& axis);
+
+ /// @}
+}//namespace glm
+
+#include "rotate_normalized_axis.inl"
diff --git a/src/include/glm/gtx/rotate_normalized_axis.inl b/src/include/glm/gtx/rotate_normalized_axis.inl
new file mode 100644
index 0000000..422480a
--- /dev/null
+++ b/src/include/glm/gtx/rotate_normalized_axis.inl
@@ -0,0 +1,58 @@
+/// @ref gtx_rotate_normalized_axis
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> rotateNormalizedAxis
+ (
+ mat<4, 4, T, Q> const& m,
+ T const& angle,
+ vec<3, T, Q> const& v
+ )
+ {
+ T const a = angle;
+ T const c = cos(a);
+ T const s = sin(a);
+
+ vec<3, T, Q> const axis(v);
+
+ vec<3, T, Q> const temp((static_cast<T>(1) - c) * axis);
+
+ mat<4, 4, T, Q> Rotate;
+ Rotate[0][0] = c + temp[0] * axis[0];
+ Rotate[0][1] = 0 + temp[0] * axis[1] + s * axis[2];
+ Rotate[0][2] = 0 + temp[0] * axis[2] - s * axis[1];
+
+ Rotate[1][0] = 0 + temp[1] * axis[0] - s * axis[2];
+ Rotate[1][1] = c + temp[1] * axis[1];
+ Rotate[1][2] = 0 + temp[1] * axis[2] + s * axis[0];
+
+ Rotate[2][0] = 0 + temp[2] * axis[0] + s * axis[1];
+ Rotate[2][1] = 0 + temp[2] * axis[1] - s * axis[0];
+ Rotate[2][2] = c + temp[2] * axis[2];
+
+ mat<4, 4, T, Q> Result;
+ Result[0] = m[0] * Rotate[0][0] + m[1] * Rotate[0][1] + m[2] * Rotate[0][2];
+ Result[1] = m[0] * Rotate[1][0] + m[1] * Rotate[1][1] + m[2] * Rotate[1][2];
+ Result[2] = m[0] * Rotate[2][0] + m[1] * Rotate[2][1] + m[2] * Rotate[2][2];
+ Result[3] = m[3];
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER qua<T, Q> rotateNormalizedAxis
+ (
+ qua<T, Q> const& q,
+ T const& angle,
+ vec<3, T, Q> const& v
+ )
+ {
+ vec<3, T, Q> const Tmp(v);
+
+ T const AngleRad(angle);
+ T const Sin = sin(AngleRad * T(0.5));
+
+ return q * qua<T, Q>(cos(AngleRad * static_cast<T>(0.5)), Tmp.x * Sin, Tmp.y * Sin, Tmp.z * Sin);
+ //return gtc::quaternion::cross(q, tquat<T, Q>(cos(AngleRad * T(0.5)), Tmp.x * fSin, Tmp.y * fSin, Tmp.z * fSin));
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/rotate_vector.hpp b/src/include/glm/gtx/rotate_vector.hpp
new file mode 100644
index 0000000..cfb87e5
--- /dev/null
+++ b/src/include/glm/gtx/rotate_vector.hpp
@@ -0,0 +1,123 @@
+/// @ref gtx_rotate_vector
+/// @file glm/gtx/rotate_vector.hpp
+///
+/// @see core (dependence)
+/// @see gtx_transform (dependence)
+///
+/// @defgroup gtx_rotate_vector GLM_GTX_rotate_vector
+/// @ingroup gtx
+///
+/// Include <glm/gtx/rotate_vector.hpp> to use the features of this extension.
+///
+/// Function to directly rotate a vector
+
+#pragma once
+
+// Dependency:
+#include "../gtx/transform.hpp"
+#include "../gtc/epsilon.hpp"
+#include "../ext/vector_relational.hpp"
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_rotate_vector is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_rotate_vector extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_rotate_vector
+ /// @{
+
+ /// Returns Spherical interpolation between two vectors
+ ///
+ /// @param x A first vector
+ /// @param y A second vector
+ /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
+ ///
+ /// @see gtx_rotate_vector
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> slerp(
+ vec<3, T, Q> const& x,
+ vec<3, T, Q> const& y,
+ T const& a);
+
+ //! Rotate a two dimensional vector.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<2, T, Q> rotate(
+ vec<2, T, Q> const& v,
+ T const& angle);
+
+ //! Rotate a three dimensional vector around an axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rotate(
+ vec<3, T, Q> const& v,
+ T const& angle,
+ vec<3, T, Q> const& normal);
+
+ //! Rotate a four dimensional vector around an axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> rotate(
+ vec<4, T, Q> const& v,
+ T const& angle,
+ vec<3, T, Q> const& normal);
+
+ //! Rotate a three dimensional vector around the X axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rotateX(
+ vec<3, T, Q> const& v,
+ T const& angle);
+
+ //! Rotate a three dimensional vector around the Y axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rotateY(
+ vec<3, T, Q> const& v,
+ T const& angle);
+
+ //! Rotate a three dimensional vector around the Z axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<3, T, Q> rotateZ(
+ vec<3, T, Q> const& v,
+ T const& angle);
+
+ //! Rotate a four dimensional vector around the X axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> rotateX(
+ vec<4, T, Q> const& v,
+ T const& angle);
+
+ //! Rotate a four dimensional vector around the Y axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> rotateY(
+ vec<4, T, Q> const& v,
+ T const& angle);
+
+ //! Rotate a four dimensional vector around the Z axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL vec<4, T, Q> rotateZ(
+ vec<4, T, Q> const& v,
+ T const& angle);
+
+ //! Build a rotation matrix from a normal and a up vector.
+ //! From GLM_GTX_rotate_vector extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> orientation(
+ vec<3, T, Q> const& Normal,
+ vec<3, T, Q> const& Up);
+
+ /// @}
+}//namespace glm
+
+#include "rotate_vector.inl"
diff --git a/src/include/glm/gtx/rotate_vector.inl b/src/include/glm/gtx/rotate_vector.inl
new file mode 100644
index 0000000..cecc3b1
--- /dev/null
+++ b/src/include/glm/gtx/rotate_vector.inl
@@ -0,0 +1,187 @@
+/// @ref gtx_rotate_vector
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> slerp
+ (
+ vec<3, T, Q> const& x,
+ vec<3, T, Q> const& y,
+ T const& a
+ )
+ {
+ // get cosine of angle between vectors (-1 -> 1)
+ T CosAlpha = dot(x, y);
+ // get angle (0 -> pi)
+ T Alpha = acos(CosAlpha);
+ // get sine of angle between vectors (0 -> 1)
+ T SinAlpha = sin(Alpha);
+ // this breaks down when SinAlpha = 0, i.e. Alpha = 0 or pi
+ T t1 = sin((static_cast<T>(1) - a) * Alpha) / SinAlpha;
+ T t2 = sin(a * Alpha) / SinAlpha;
+
+ // interpolate src vectors
+ return x * t1 + y * t2;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<2, T, Q> rotate
+ (
+ vec<2, T, Q> const& v,
+ T const& angle
+ )
+ {
+ vec<2, T, Q> Result;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos - v.y * Sin;
+ Result.y = v.x * Sin + v.y * Cos;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rotate
+ (
+ vec<3, T, Q> const& v,
+ T const& angle,
+ vec<3, T, Q> const& normal
+ )
+ {
+ return mat<3, 3, T, Q>(glm::rotate(angle, normal)) * v;
+ }
+ /*
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rotateGTX(
+ const vec<3, T, Q>& x,
+ T angle,
+ const vec<3, T, Q>& normal)
+ {
+ const T Cos = cos(radians(angle));
+ const T Sin = sin(radians(angle));
+ return x * Cos + ((x * normal) * (T(1) - Cos)) * normal + cross(x, normal) * Sin;
+ }
+ */
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> rotate
+ (
+ vec<4, T, Q> const& v,
+ T const& angle,
+ vec<3, T, Q> const& normal
+ )
+ {
+ return rotate(angle, normal) * v;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rotateX
+ (
+ vec<3, T, Q> const& v,
+ T const& angle
+ )
+ {
+ vec<3, T, Q> Result(v);
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.y = v.y * Cos - v.z * Sin;
+ Result.z = v.y * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rotateY
+ (
+ vec<3, T, Q> const& v,
+ T const& angle
+ )
+ {
+ vec<3, T, Q> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos + v.z * Sin;
+ Result.z = -v.x * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, T, Q> rotateZ
+ (
+ vec<3, T, Q> const& v,
+ T const& angle
+ )
+ {
+ vec<3, T, Q> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos - v.y * Sin;
+ Result.y = v.x * Sin + v.y * Cos;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> rotateX
+ (
+ vec<4, T, Q> const& v,
+ T const& angle
+ )
+ {
+ vec<4, T, Q> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.y = v.y * Cos - v.z * Sin;
+ Result.z = v.y * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> rotateY
+ (
+ vec<4, T, Q> const& v,
+ T const& angle
+ )
+ {
+ vec<4, T, Q> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos + v.z * Sin;
+ Result.z = -v.x * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, T, Q> rotateZ
+ (
+ vec<4, T, Q> const& v,
+ T const& angle
+ )
+ {
+ vec<4, T, Q> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos - v.y * Sin;
+ Result.y = v.x * Sin + v.y * Cos;
+ return Result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> orientation
+ (
+ vec<3, T, Q> const& Normal,
+ vec<3, T, Q> const& Up
+ )
+ {
+ if(all(equal(Normal, Up, epsilon<T>())))
+ return mat<4, 4, T, Q>(static_cast<T>(1));
+
+ vec<3, T, Q> RotationAxis = cross(Up, Normal);
+ T Angle = acos(dot(Normal, Up));
+
+ return rotate(Angle, RotationAxis);
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/scalar_multiplication.hpp b/src/include/glm/gtx/scalar_multiplication.hpp
new file mode 100644
index 0000000..4344026
--- /dev/null
+++ b/src/include/glm/gtx/scalar_multiplication.hpp
@@ -0,0 +1,75 @@
+/// @ref gtx
+/// @file glm/gtx/scalar_multiplication.hpp
+/// @author Joshua Moerman
+///
+/// Include <glm/gtx/scalar_multiplication.hpp> to use the features of this extension.
+///
+/// Enables scalar multiplication for all types
+///
+/// Since GLSL is very strict about types, the following (often used) combinations do not work:
+/// double * vec4
+/// int * vec4
+/// vec4 / int
+/// So we'll fix that! Of course "float * vec4" should remain the same (hence the enable_if magic)
+
+#pragma once
+
+#include "../detail/setup.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_scalar_multiplication is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_scalar_multiplication extension included")
+# endif
+#endif
+
+#include "../vec2.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../mat2x2.hpp"
+#include <type_traits>
+
+namespace glm
+{
+ template<typename T, typename Vec>
+ using return_type_scalar_multiplication = typename std::enable_if<
+ !std::is_same<T, float>::value // T may not be a float
+ && std::is_arithmetic<T>::value, Vec // But it may be an int or double (no vec3 or mat3, ...)
+ >::type;
+
+#define GLM_IMPLEMENT_SCAL_MULT(Vec) \
+ template<typename T> \
+ return_type_scalar_multiplication<T, Vec> \
+ operator*(T const& s, Vec rh){ \
+ return rh *= static_cast<float>(s); \
+ } \
+ \
+ template<typename T> \
+ return_type_scalar_multiplication<T, Vec> \
+ operator*(Vec lh, T const& s){ \
+ return lh *= static_cast<float>(s); \
+ } \
+ \
+ template<typename T> \
+ return_type_scalar_multiplication<T, Vec> \
+ operator/(Vec lh, T const& s){ \
+ return lh *= 1.0f / static_cast<float>(s); \
+ }
+
+GLM_IMPLEMENT_SCAL_MULT(vec2)
+GLM_IMPLEMENT_SCAL_MULT(vec3)
+GLM_IMPLEMENT_SCAL_MULT(vec4)
+
+GLM_IMPLEMENT_SCAL_MULT(mat2)
+GLM_IMPLEMENT_SCAL_MULT(mat2x3)
+GLM_IMPLEMENT_SCAL_MULT(mat2x4)
+GLM_IMPLEMENT_SCAL_MULT(mat3x2)
+GLM_IMPLEMENT_SCAL_MULT(mat3)
+GLM_IMPLEMENT_SCAL_MULT(mat3x4)
+GLM_IMPLEMENT_SCAL_MULT(mat4x2)
+GLM_IMPLEMENT_SCAL_MULT(mat4x3)
+GLM_IMPLEMENT_SCAL_MULT(mat4)
+
+#undef GLM_IMPLEMENT_SCAL_MULT
+} // namespace glm
diff --git a/src/include/glm/gtx/scalar_relational.hpp b/src/include/glm/gtx/scalar_relational.hpp
new file mode 100644
index 0000000..87d05e3
--- /dev/null
+++ b/src/include/glm/gtx/scalar_relational.hpp
@@ -0,0 +1,36 @@
+/// @ref gtx_scalar_relational
+/// @file glm/gtx/scalar_relational.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_scalar_relational GLM_GTX_scalar_relational
+/// @ingroup gtx
+///
+/// Include <glm/gtx/scalar_relational.hpp> to use the features of this extension.
+///
+/// Extend a position from a source to a position at a defined length.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_extend is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_extend extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_scalar_relational
+ /// @{
+
+
+
+ /// @}
+}//namespace glm
+
+#include "scalar_relational.inl"
diff --git a/src/include/glm/gtx/scalar_relational.inl b/src/include/glm/gtx/scalar_relational.inl
new file mode 100644
index 0000000..03c0060
--- /dev/null
+++ b/src/include/glm/gtx/scalar_relational.inl
@@ -0,0 +1,88 @@
+/// @ref gtx_scalar_relational
+
+namespace glm
+{
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool lessThan
+ (
+ T const& x,
+ T const& y
+ )
+ {
+ return x < y;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool lessThanEqual
+ (
+ T const& x,
+ T const& y
+ )
+ {
+ return x <= y;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool greaterThan
+ (
+ T const& x,
+ T const& y
+ )
+ {
+ return x > y;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool greaterThanEqual
+ (
+ T const& x,
+ T const& y
+ )
+ {
+ return x >= y;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool equal
+ (
+ T const& x,
+ T const& y
+ )
+ {
+ return detail::compute_equal<T, std::numeric_limits<T>::is_iec559>::call(x, y);
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool notEqual
+ (
+ T const& x,
+ T const& y
+ )
+ {
+ return !detail::compute_equal<T, std::numeric_limits<T>::is_iec559>::call(x, y);
+ }
+
+ GLM_FUNC_QUALIFIER bool any
+ (
+ bool const& x
+ )
+ {
+ return x;
+ }
+
+ GLM_FUNC_QUALIFIER bool all
+ (
+ bool const& x
+ )
+ {
+ return x;
+ }
+
+ GLM_FUNC_QUALIFIER bool not_
+ (
+ bool const& x
+ )
+ {
+ return !x;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/spline.hpp b/src/include/glm/gtx/spline.hpp
new file mode 100644
index 0000000..e88f72a
--- /dev/null
+++ b/src/include/glm/gtx/spline.hpp
@@ -0,0 +1,65 @@
+/// @ref gtx_spline
+/// @file glm/gtx/spline.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_spline GLM_GTX_spline
+/// @ingroup gtx
+///
+/// Include <glm/gtx/spline.hpp> to use the features of this extension.
+///
+/// Spline functions
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/optimum_pow.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_spline is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_spline extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_spline
+ /// @{
+
+ /// Return a point from a catmull rom curve.
+ /// @see gtx_spline extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType catmullRom(
+ genType const& v1,
+ genType const& v2,
+ genType const& v3,
+ genType const& v4,
+ typename genType::value_type const& s);
+
+ /// Return a point from a hermite curve.
+ /// @see gtx_spline extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType hermite(
+ genType const& v1,
+ genType const& t1,
+ genType const& v2,
+ genType const& t2,
+ typename genType::value_type const& s);
+
+ /// Return a point from a cubic curve.
+ /// @see gtx_spline extension.
+ template<typename genType>
+ GLM_FUNC_DECL genType cubic(
+ genType const& v1,
+ genType const& v2,
+ genType const& v3,
+ genType const& v4,
+ typename genType::value_type const& s);
+
+ /// @}
+}//namespace glm
+
+#include "spline.inl"
diff --git a/src/include/glm/gtx/spline.inl b/src/include/glm/gtx/spline.inl
new file mode 100644
index 0000000..30b7808
--- /dev/null
+++ b/src/include/glm/gtx/spline.inl
@@ -0,0 +1,60 @@
+/// @ref gtx_spline
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType catmullRom
+ (
+ genType const& v1,
+ genType const& v2,
+ genType const& v3,
+ genType const& v4,
+ typename genType::value_type const& s
+ )
+ {
+ typename genType::value_type s2 = pow2(s);
+ typename genType::value_type s3 = pow3(s);
+
+ typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s;
+ typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2);
+ typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s;
+ typename genType::value_type f4 = s3 - s2;
+
+ return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2);
+
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType hermite
+ (
+ genType const& v1,
+ genType const& t1,
+ genType const& v2,
+ genType const& t2,
+ typename genType::value_type const& s
+ )
+ {
+ typename genType::value_type s2 = pow2(s);
+ typename genType::value_type s3 = pow3(s);
+
+ typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1);
+ typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2;
+ typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s;
+ typename genType::value_type f4 = s3 - s2;
+
+ return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType cubic
+ (
+ genType const& v1,
+ genType const& v2,
+ genType const& v3,
+ genType const& v4,
+ typename genType::value_type const& s
+ )
+ {
+ return ((v1 * s + v2) * s + v3) * s + v4;
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/std_based_type.hpp b/src/include/glm/gtx/std_based_type.hpp
new file mode 100644
index 0000000..1c79e26
--- /dev/null
+++ b/src/include/glm/gtx/std_based_type.hpp
@@ -0,0 +1,68 @@
+/// @ref gtx_std_based_type
+/// @file glm/gtx/std_based_type.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_std_based_type GLM_GTX_std_based_type
+/// @ingroup gtx
+///
+/// Include <glm/gtx/std_based_type.hpp> to use the features of this extension.
+///
+/// Adds vector types based on STL value types.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include <cstdlib>
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_std_based_type is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_std_based_type extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_std_based_type
+ /// @{
+
+ /// Vector type based of one std::size_t component.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<1, std::size_t, defaultp> size1;
+
+ /// Vector type based of two std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<2, std::size_t, defaultp> size2;
+
+ /// Vector type based of three std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<3, std::size_t, defaultp> size3;
+
+ /// Vector type based of four std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<4, std::size_t, defaultp> size4;
+
+ /// Vector type based of one std::size_t component.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<1, std::size_t, defaultp> size1_t;
+
+ /// Vector type based of two std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<2, std::size_t, defaultp> size2_t;
+
+ /// Vector type based of three std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<3, std::size_t, defaultp> size3_t;
+
+ /// Vector type based of four std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef vec<4, std::size_t, defaultp> size4_t;
+
+ /// @}
+}//namespace glm
+
+#include "std_based_type.inl"
diff --git a/src/include/glm/gtx/std_based_type.inl b/src/include/glm/gtx/std_based_type.inl
new file mode 100644
index 0000000..0dc5695
--- /dev/null
+++ b/src/include/glm/gtx/std_based_type.inl
@@ -0,0 +1,6 @@
+/// @ref gtx_std_based_type
+
+namespace glm
+{
+
+}
diff --git a/src/include/glm/gtx/string_cast.hpp b/src/include/glm/gtx/string_cast.hpp
new file mode 100644
index 0000000..3728975
--- /dev/null
+++ b/src/include/glm/gtx/string_cast.hpp
@@ -0,0 +1,52 @@
+/// @ref gtx_string_cast
+/// @file glm/gtx/string_cast.hpp
+///
+/// @see core (dependence)
+/// @see gtx_integer (dependence)
+/// @see gtx_quaternion (dependence)
+///
+/// @defgroup gtx_string_cast GLM_GTX_string_cast
+/// @ingroup gtx
+///
+/// Include <glm/gtx/string_cast.hpp> to use the features of this extension.
+///
+/// Setup strings for GLM type values
+///
+/// This extension is not supported with CUDA
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/type_precision.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtx/dual_quaternion.hpp"
+#include <string>
+#include <cmath>
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_string_cast is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_string_cast extension included")
+# endif
+#endif
+
+#if(GLM_COMPILER & GLM_COMPILER_CUDA)
+# error "GLM_GTX_string_cast is not supported on CUDA compiler"
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_string_cast
+ /// @{
+
+ /// Create a string from a GLM vector or matrix typed variable.
+ /// @see gtx_string_cast extension.
+ template<typename genType>
+ GLM_FUNC_DECL std::string to_string(genType const& x);
+
+ /// @}
+}//namespace glm
+
+#include "string_cast.inl"
diff --git a/src/include/glm/gtx/string_cast.inl b/src/include/glm/gtx/string_cast.inl
new file mode 100644
index 0000000..fddfe95
--- /dev/null
+++ b/src/include/glm/gtx/string_cast.inl
@@ -0,0 +1,492 @@
+/// @ref gtx_string_cast
+
+#include <cstdarg>
+#include <cstdio>
+
+namespace glm{
+namespace detail
+{
+ template <typename T>
+ struct cast
+ {
+ typedef T value_type;
+ };
+
+ template <>
+ struct cast<float>
+ {
+ typedef double value_type;
+ };
+
+ GLM_FUNC_QUALIFIER std::string format(const char* msg, ...)
+ {
+ std::size_t const STRING_BUFFER(4096);
+ char text[STRING_BUFFER];
+ va_list list;
+
+ if(msg == GLM_NULLPTR)
+ return std::string();
+
+ va_start(list, msg);
+# if (GLM_COMPILER & GLM_COMPILER_VC)
+ vsprintf_s(text, STRING_BUFFER, msg, list);
+# else//
+ std::vsprintf(text, msg, list);
+# endif//
+ va_end(list);
+
+ return std::string(text);
+ }
+
+ static const char* LabelTrue = "true";
+ static const char* LabelFalse = "false";
+
+ template<typename T, bool isFloat = false>
+ struct literal
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%d";}
+ };
+
+ template<typename T>
+ struct literal<T, true>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%f";}
+ };
+
+# if GLM_MODEL == GLM_MODEL_32 && GLM_COMPILER && GLM_COMPILER_VC
+ template<>
+ struct literal<uint64_t, false>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%lld";}
+ };
+
+ template<>
+ struct literal<int64_t, false>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%lld";}
+ };
+# endif//GLM_MODEL == GLM_MODEL_32 && GLM_COMPILER && GLM_COMPILER_VC
+
+ template<typename T>
+ struct prefix{};
+
+ template<>
+ struct prefix<float>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "";}
+ };
+
+ template<>
+ struct prefix<double>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "d";}
+ };
+
+ template<>
+ struct prefix<bool>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "b";}
+ };
+
+ template<>
+ struct prefix<uint8_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u8";}
+ };
+
+ template<>
+ struct prefix<int8_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i8";}
+ };
+
+ template<>
+ struct prefix<uint16_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u16";}
+ };
+
+ template<>
+ struct prefix<int16_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i16";}
+ };
+
+ template<>
+ struct prefix<uint32_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u";}
+ };
+
+ template<>
+ struct prefix<int32_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i";}
+ };
+
+ template<>
+ struct prefix<uint64_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u64";}
+ };
+
+ template<>
+ struct prefix<int64_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i64";}
+ };
+
+ template<typename matType>
+ struct compute_to_string
+ {};
+
+ template<qualifier Q>
+ struct compute_to_string<vec<1, bool, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<1, bool, Q> const& x)
+ {
+ return detail::format("bvec1(%s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template<qualifier Q>
+ struct compute_to_string<vec<2, bool, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<2, bool, Q> const& x)
+ {
+ return detail::format("bvec2(%s, %s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse,
+ x[1] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template<qualifier Q>
+ struct compute_to_string<vec<3, bool, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<3, bool, Q> const& x)
+ {
+ return detail::format("bvec3(%s, %s, %s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse,
+ x[1] ? detail::LabelTrue : detail::LabelFalse,
+ x[2] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template<qualifier Q>
+ struct compute_to_string<vec<4, bool, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<4, bool, Q> const& x)
+ {
+ return detail::format("bvec4(%s, %s, %s, %s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse,
+ x[1] ? detail::LabelTrue : detail::LabelFalse,
+ x[2] ? detail::LabelTrue : detail::LabelFalse,
+ x[3] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<vec<1, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<1, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec1(%s)",
+ PrefixStr,
+ LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<vec<2, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<2, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec2(%s, %s)",
+ PrefixStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0]),
+ static_cast<typename cast<T>::value_type>(x[1]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<vec<3, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<3, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec3(%s, %s, %s)",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0]),
+ static_cast<typename cast<T>::value_type>(x[1]),
+ static_cast<typename cast<T>::value_type>(x[2]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<vec<4, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(vec<4, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec4(%s, %s, %s, %s)",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0]),
+ static_cast<typename cast<T>::value_type>(x[1]),
+ static_cast<typename cast<T>::value_type>(x[2]),
+ static_cast<typename cast<T>::value_type>(x[3]));
+ }
+ };
+
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<2, 2, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<2, 2, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat2x2((%s, %s), (%s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<2, 3, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<2, 3, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat2x3((%s, %s, %s), (%s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]), static_cast<typename cast<T>::value_type>(x[0][2]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]), static_cast<typename cast<T>::value_type>(x[1][2]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<2, 4, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<2, 4, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat2x4((%s, %s, %s, %s), (%s, %s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]), static_cast<typename cast<T>::value_type>(x[0][2]), static_cast<typename cast<T>::value_type>(x[0][3]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]), static_cast<typename cast<T>::value_type>(x[1][2]), static_cast<typename cast<T>::value_type>(x[1][3]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<3, 2, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<3, 2, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat3x2((%s, %s), (%s, %s), (%s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]),
+ static_cast<typename cast<T>::value_type>(x[2][0]), static_cast<typename cast<T>::value_type>(x[2][1]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<3, 3, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<3, 3, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat3x3((%s, %s, %s), (%s, %s, %s), (%s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]), static_cast<typename cast<T>::value_type>(x[0][2]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]), static_cast<typename cast<T>::value_type>(x[1][2]),
+ static_cast<typename cast<T>::value_type>(x[2][0]), static_cast<typename cast<T>::value_type>(x[2][1]), static_cast<typename cast<T>::value_type>(x[2][2]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<3, 4, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<3, 4, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat3x4((%s, %s, %s, %s), (%s, %s, %s, %s), (%s, %s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]), static_cast<typename cast<T>::value_type>(x[0][2]), static_cast<typename cast<T>::value_type>(x[0][3]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]), static_cast<typename cast<T>::value_type>(x[1][2]), static_cast<typename cast<T>::value_type>(x[1][3]),
+ static_cast<typename cast<T>::value_type>(x[2][0]), static_cast<typename cast<T>::value_type>(x[2][1]), static_cast<typename cast<T>::value_type>(x[2][2]), static_cast<typename cast<T>::value_type>(x[2][3]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<4, 2, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<4, 2, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat4x2((%s, %s), (%s, %s), (%s, %s), (%s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]),
+ static_cast<typename cast<T>::value_type>(x[2][0]), static_cast<typename cast<T>::value_type>(x[2][1]),
+ static_cast<typename cast<T>::value_type>(x[3][0]), static_cast<typename cast<T>::value_type>(x[3][1]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<4, 3, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<4, 3, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat4x3((%s, %s, %s), (%s, %s, %s), (%s, %s, %s), (%s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]), static_cast<typename cast<T>::value_type>(x[0][2]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]), static_cast<typename cast<T>::value_type>(x[1][2]),
+ static_cast<typename cast<T>::value_type>(x[2][0]), static_cast<typename cast<T>::value_type>(x[2][1]), static_cast<typename cast<T>::value_type>(x[2][2]),
+ static_cast<typename cast<T>::value_type>(x[3][0]), static_cast<typename cast<T>::value_type>(x[3][1]), static_cast<typename cast<T>::value_type>(x[3][2]));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<mat<4, 4, T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(mat<4, 4, T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat4x4((%s, %s, %s, %s), (%s, %s, %s, %s), (%s, %s, %s, %s), (%s, %s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x[0][0]), static_cast<typename cast<T>::value_type>(x[0][1]), static_cast<typename cast<T>::value_type>(x[0][2]), static_cast<typename cast<T>::value_type>(x[0][3]),
+ static_cast<typename cast<T>::value_type>(x[1][0]), static_cast<typename cast<T>::value_type>(x[1][1]), static_cast<typename cast<T>::value_type>(x[1][2]), static_cast<typename cast<T>::value_type>(x[1][3]),
+ static_cast<typename cast<T>::value_type>(x[2][0]), static_cast<typename cast<T>::value_type>(x[2][1]), static_cast<typename cast<T>::value_type>(x[2][2]), static_cast<typename cast<T>::value_type>(x[2][3]),
+ static_cast<typename cast<T>::value_type>(x[3][0]), static_cast<typename cast<T>::value_type>(x[3][1]), static_cast<typename cast<T>::value_type>(x[3][2]), static_cast<typename cast<T>::value_type>(x[3][3]));
+ }
+ };
+
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<qua<T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(qua<T, Q> const& q)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%squat(%s, {%s, %s, %s})",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(q.w),
+ static_cast<typename cast<T>::value_type>(q.x),
+ static_cast<typename cast<T>::value_type>(q.y),
+ static_cast<typename cast<T>::value_type>(q.z));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_to_string<tdualquat<T, Q> >
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tdualquat<T, Q> const& x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%sdualquat((%s, {%s, %s, %s}), (%s, {%s, %s, %s}))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ static_cast<typename cast<T>::value_type>(x.real.w),
+ static_cast<typename cast<T>::value_type>(x.real.x),
+ static_cast<typename cast<T>::value_type>(x.real.y),
+ static_cast<typename cast<T>::value_type>(x.real.z),
+ static_cast<typename cast<T>::value_type>(x.dual.w),
+ static_cast<typename cast<T>::value_type>(x.dual.x),
+ static_cast<typename cast<T>::value_type>(x.dual.y),
+ static_cast<typename cast<T>::value_type>(x.dual.z));
+ }
+ };
+
+}//namespace detail
+
+template<class matType>
+GLM_FUNC_QUALIFIER std::string to_string(matType const& x)
+{
+ return detail::compute_to_string<matType>::call(x);
+}
+
+}//namespace glm
diff --git a/src/include/glm/gtx/texture.hpp b/src/include/glm/gtx/texture.hpp
new file mode 100644
index 0000000..a9f9ccb
--- /dev/null
+++ b/src/include/glm/gtx/texture.hpp
@@ -0,0 +1,46 @@
+/// @ref gtx_texture
+/// @file glm/gtx/texture.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_texture GLM_GTX_texture
+/// @ingroup gtx
+///
+/// Include <glm/gtx/texture.hpp> to use the features of this extension.
+///
+/// Wrapping mode of texture coordinates.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/integer.hpp"
+#include "../gtx/component_wise.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_texture is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_texture extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_texture
+ /// @{
+
+ /// Compute the number of mipmaps levels necessary to create a mipmap complete texture
+ ///
+ /// @param Extent Extent of the texture base level mipmap
+ /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
+ /// @tparam T Floating-point or signed integer scalar types
+ /// @tparam Q Value from qualifier enum
+ template <length_t L, typename T, qualifier Q>
+ T levels(vec<L, T, Q> const& Extent);
+
+ /// @}
+}// namespace glm
+
+#include "texture.inl"
+
diff --git a/src/include/glm/gtx/texture.inl b/src/include/glm/gtx/texture.inl
new file mode 100644
index 0000000..f4992a1
--- /dev/null
+++ b/src/include/glm/gtx/texture.inl
@@ -0,0 +1,17 @@
+/// @ref gtx_texture
+
+namespace glm
+{
+ template <length_t L, typename T, qualifier Q>
+ inline T levels(vec<L, T, Q> const& Extent)
+ {
+ return glm::log2(compMax(Extent)) + static_cast<T>(1);
+ }
+
+ template <typename T>
+ inline T levels(T Extent)
+ {
+ return vec<1, T, defaultp>(Extent).x;
+ }
+}//namespace glm
+
diff --git a/src/include/glm/gtx/transform.hpp b/src/include/glm/gtx/transform.hpp
new file mode 100644
index 0000000..a235a2d
--- /dev/null
+++ b/src/include/glm/gtx/transform.hpp
@@ -0,0 +1,60 @@
+/// @ref gtx_transform
+/// @file glm/gtx/transform.hpp
+///
+/// @see core (dependence)
+/// @see gtc_matrix_transform (dependence)
+/// @see gtx_transform
+/// @see gtx_transform2
+///
+/// @defgroup gtx_transform GLM_GTX_transform
+/// @ingroup gtx
+///
+/// Include <glm/gtx/transform.hpp> to use the features of this extension.
+///
+/// Add transformation matrices
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/matrix_transform.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_transform is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_transform extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_transform
+ /// @{
+
+ /// Transforms a matrix with a translation 4 * 4 matrix created from 3 scalars.
+ /// @see gtc_matrix_transform
+ /// @see gtx_transform
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> translate(
+ vec<3, T, Q> const& v);
+
+ /// Builds a rotation 4 * 4 matrix created from an axis of 3 scalars and an angle expressed in radians.
+ /// @see gtc_matrix_transform
+ /// @see gtx_transform
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> rotate(
+ T angle,
+ vec<3, T, Q> const& v);
+
+ /// Transforms a matrix with a scale 4 * 4 matrix created from a vector of 3 components.
+ /// @see gtc_matrix_transform
+ /// @see gtx_transform
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> scale(
+ vec<3, T, Q> const& v);
+
+ /// @}
+}// namespace glm
+
+#include "transform.inl"
diff --git a/src/include/glm/gtx/transform.inl b/src/include/glm/gtx/transform.inl
new file mode 100644
index 0000000..24361e2
--- /dev/null
+++ b/src/include/glm/gtx/transform.inl
@@ -0,0 +1,23 @@
+/// @ref gtx_transform
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> translate(vec<3, T, Q> const& v)
+ {
+ return translate(mat<4, 4, T, Q>(static_cast<T>(1)), v);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> rotate(T angle, vec<3, T, Q> const& v)
+ {
+ return rotate(mat<4, 4, T, Q>(static_cast<T>(1)), angle, v);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> scale(vec<3, T, Q> const& v)
+ {
+ return scale(mat<4, 4, T, Q>(static_cast<T>(1)), v);
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/transform2.hpp b/src/include/glm/gtx/transform2.hpp
new file mode 100644
index 0000000..8bbaa27
--- /dev/null
+++ b/src/include/glm/gtx/transform2.hpp
@@ -0,0 +1,89 @@
+/// @ref gtx_transform2
+/// @file glm/gtx/transform2.hpp
+///
+/// @see core (dependence)
+/// @see gtx_transform (dependence)
+///
+/// @defgroup gtx_transform2 GLM_GTX_transform2
+/// @ingroup gtx
+///
+/// Include <glm/gtx/transform2.hpp> to use the features of this extension.
+///
+/// Add extra transformation matrices
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/transform.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_transform2 is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_transform2 extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_transform2
+ /// @{
+
+ //! Transforms a matrix with a shearing on X axis.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> shearX2D(mat<3, 3, T, Q> const& m, T y);
+
+ //! Transforms a matrix with a shearing on Y axis.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> shearY2D(mat<3, 3, T, Q> const& m, T x);
+
+ //! Transforms a matrix with a shearing on X axis
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> shearX3D(mat<4, 4, T, Q> const& m, T y, T z);
+
+ //! Transforms a matrix with a shearing on Y axis.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> shearY3D(mat<4, 4, T, Q> const& m, T x, T z);
+
+ //! Transforms a matrix with a shearing on Z axis.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> shearZ3D(mat<4, 4, T, Q> const& m, T x, T y);
+
+ //template<typename T> GLM_FUNC_QUALIFIER mat<4, 4, T, Q> shear(const mat<4, 4, T, Q> & m, shearPlane, planePoint, angle)
+ // Identity + tan(angle) * cross(Normal, OnPlaneVector) 0
+ // - dot(PointOnPlane, normal) * OnPlaneVector 1
+
+ // Reflect functions seem to don't work
+ //template<typename T> mat<3, 3, T, Q> reflect2D(const mat<3, 3, T, Q> & m, const vec<3, T, Q>& normal){return reflect2DGTX(m, normal);} //!< \brief Build a reflection matrix (from GLM_GTX_transform2 extension)
+ //template<typename T> mat<4, 4, T, Q> reflect3D(const mat<4, 4, T, Q> & m, const vec<3, T, Q>& normal){return reflect3DGTX(m, normal);} //!< \brief Build a reflection matrix (from GLM_GTX_transform2 extension)
+
+ //! Build planar projection matrix along normal axis.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<3, 3, T, Q> proj2D(mat<3, 3, T, Q> const& m, vec<3, T, Q> const& normal);
+
+ //! Build planar projection matrix along normal axis.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> proj3D(mat<4, 4, T, Q> const & m, vec<3, T, Q> const& normal);
+
+ //! Build a scale bias matrix.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> scaleBias(T scale, T bias);
+
+ //! Build a scale bias matrix.
+ //! From GLM_GTX_transform2 extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL mat<4, 4, T, Q> scaleBias(mat<4, 4, T, Q> const& m, T scale, T bias);
+
+ /// @}
+}// namespace glm
+
+#include "transform2.inl"
diff --git a/src/include/glm/gtx/transform2.inl b/src/include/glm/gtx/transform2.inl
new file mode 100644
index 0000000..4664000
--- /dev/null
+++ b/src/include/glm/gtx/transform2.inl
@@ -0,0 +1,125 @@
+/// @ref gtx_transform2
+
+namespace glm
+{
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> shearX2D(mat<3, 3, T, Q> const& m, T s)
+ {
+ mat<3, 3, T, Q> r(1);
+ r[1][0] = s;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> shearY2D(mat<3, 3, T, Q> const& m, T s)
+ {
+ mat<3, 3, T, Q> r(1);
+ r[0][1] = s;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> shearX3D(mat<4, 4, T, Q> const& m, T s, T t)
+ {
+ mat<4, 4, T, Q> r(1);
+ r[0][1] = s;
+ r[0][2] = t;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> shearY3D(mat<4, 4, T, Q> const& m, T s, T t)
+ {
+ mat<4, 4, T, Q> r(1);
+ r[1][0] = s;
+ r[1][2] = t;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> shearZ3D(mat<4, 4, T, Q> const& m, T s, T t)
+ {
+ mat<4, 4, T, Q> r(1);
+ r[2][0] = s;
+ r[2][1] = t;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> reflect2D(mat<3, 3, T, Q> const& m, vec<3, T, Q> const& normal)
+ {
+ mat<3, 3, T, Q> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - static_cast<T>(2) * normal.x * normal.x;
+ r[0][1] = -static_cast<T>(2) * normal.x * normal.y;
+ r[1][0] = -static_cast<T>(2) * normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - static_cast<T>(2) * normal.y * normal.y;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> reflect3D(mat<4, 4, T, Q> const& m, vec<3, T, Q> const& normal)
+ {
+ mat<4, 4, T, Q> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - static_cast<T>(2) * normal.x * normal.x;
+ r[0][1] = -static_cast<T>(2) * normal.x * normal.y;
+ r[0][2] = -static_cast<T>(2) * normal.x * normal.z;
+
+ r[1][0] = -static_cast<T>(2) * normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - static_cast<T>(2) * normal.y * normal.y;
+ r[1][2] = -static_cast<T>(2) * normal.y * normal.z;
+
+ r[2][0] = -static_cast<T>(2) * normal.x * normal.z;
+ r[2][1] = -static_cast<T>(2) * normal.y * normal.z;
+ r[2][2] = static_cast<T>(1) - static_cast<T>(2) * normal.z * normal.z;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<3, 3, T, Q> proj2D(
+ const mat<3, 3, T, Q>& m,
+ const vec<3, T, Q>& normal)
+ {
+ mat<3, 3, T, Q> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - normal.x * normal.x;
+ r[0][1] = - normal.x * normal.y;
+ r[1][0] = - normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - normal.y * normal.y;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> proj3D(
+ const mat<4, 4, T, Q>& m,
+ const vec<3, T, Q>& normal)
+ {
+ mat<4, 4, T, Q> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - normal.x * normal.x;
+ r[0][1] = - normal.x * normal.y;
+ r[0][2] = - normal.x * normal.z;
+ r[1][0] = - normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - normal.y * normal.y;
+ r[1][2] = - normal.y * normal.z;
+ r[2][0] = - normal.x * normal.z;
+ r[2][1] = - normal.y * normal.z;
+ r[2][2] = static_cast<T>(1) - normal.z * normal.z;
+ return m * r;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> scaleBias(T scale, T bias)
+ {
+ mat<4, 4, T, Q> result;
+ result[3] = vec<4, T, Q>(vec<3, T, Q>(bias), static_cast<T>(1));
+ result[0][0] = scale;
+ result[1][1] = scale;
+ result[2][2] = scale;
+ return result;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER mat<4, 4, T, Q> scaleBias(mat<4, 4, T, Q> const& m, T scale, T bias)
+ {
+ return m * scaleBias(scale, bias);
+ }
+}//namespace glm
+
diff --git a/src/include/glm/gtx/type_aligned.hpp b/src/include/glm/gtx/type_aligned.hpp
new file mode 100644
index 0000000..12ce8cf
--- /dev/null
+++ b/src/include/glm/gtx/type_aligned.hpp
@@ -0,0 +1,982 @@
+/// @ref gtx_type_aligned
+/// @file glm/gtx/type_aligned.hpp
+///
+/// @see core (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_type_aligned GLM_GTX_type_aligned
+/// @ingroup gtx
+///
+/// Include <glm/gtx/type_aligned.hpp> to use the features of this extension.
+///
+/// Defines aligned types.
+
+#pragma once
+
+// Dependency:
+#include "../gtc/type_precision.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_type_aligned is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_type_aligned extension included")
+# endif
+#endif
+
+namespace glm
+{
+ ///////////////////////////
+ // Signed int vector types
+
+ /// @addtogroup gtx_type_aligned
+ /// @{
+
+ /// Low qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int8, aligned_lowp_int8, 1);
+
+ /// Low qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int16, aligned_lowp_int16, 2);
+
+ /// Low qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int32, aligned_lowp_int32, 4);
+
+ /// Low qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int64, aligned_lowp_int64, 8);
+
+
+ /// Low qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int8_t, aligned_lowp_int8_t, 1);
+
+ /// Low qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int16_t, aligned_lowp_int16_t, 2);
+
+ /// Low qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int32_t, aligned_lowp_int32_t, 4);
+
+ /// Low qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int64_t, aligned_lowp_int64_t, 8);
+
+
+ /// Low qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i8, aligned_lowp_i8, 1);
+
+ /// Low qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i16, aligned_lowp_i16, 2);
+
+ /// Low qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i32, aligned_lowp_i32, 4);
+
+ /// Low qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i64, aligned_lowp_i64, 8);
+
+
+ /// Medium qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int8, aligned_mediump_int8, 1);
+
+ /// Medium qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int16, aligned_mediump_int16, 2);
+
+ /// Medium qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int32, aligned_mediump_int32, 4);
+
+ /// Medium qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int64, aligned_mediump_int64, 8);
+
+
+ /// Medium qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int8_t, aligned_mediump_int8_t, 1);
+
+ /// Medium qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int16_t, aligned_mediump_int16_t, 2);
+
+ /// Medium qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int32_t, aligned_mediump_int32_t, 4);
+
+ /// Medium qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int64_t, aligned_mediump_int64_t, 8);
+
+
+ /// Medium qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i8, aligned_mediump_i8, 1);
+
+ /// Medium qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i16, aligned_mediump_i16, 2);
+
+ /// Medium qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i32, aligned_mediump_i32, 4);
+
+ /// Medium qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i64, aligned_mediump_i64, 8);
+
+
+ /// High qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int8, aligned_highp_int8, 1);
+
+ /// High qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int16, aligned_highp_int16, 2);
+
+ /// High qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int32, aligned_highp_int32, 4);
+
+ /// High qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int64, aligned_highp_int64, 8);
+
+
+ /// High qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int8_t, aligned_highp_int8_t, 1);
+
+ /// High qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int16_t, aligned_highp_int16_t, 2);
+
+ /// High qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int32_t, aligned_highp_int32_t, 4);
+
+ /// High qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int64_t, aligned_highp_int64_t, 8);
+
+
+ /// High qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i8, aligned_highp_i8, 1);
+
+ /// High qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i16, aligned_highp_i16, 2);
+
+ /// High qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i32, aligned_highp_i32, 4);
+
+ /// High qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i64, aligned_highp_i64, 8);
+
+
+ /// Default qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int8, aligned_int8, 1);
+
+ /// Default qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int16, aligned_int16, 2);
+
+ /// Default qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int32, aligned_int32, 4);
+
+ /// Default qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int64, aligned_int64, 8);
+
+
+ /// Default qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int8_t, aligned_int8_t, 1);
+
+ /// Default qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int16_t, aligned_int16_t, 2);
+
+ /// Default qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int32_t, aligned_int32_t, 4);
+
+ /// Default qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int64_t, aligned_int64_t, 8);
+
+
+ /// Default qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8, aligned_i8, 1);
+
+ /// Default qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16, aligned_i16, 2);
+
+ /// Default qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32, aligned_i32, 4);
+
+ /// Default qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64, aligned_i64, 8);
+
+
+ /// Default qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec1, aligned_ivec1, 4);
+
+ /// Default qualifier 32 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec2, aligned_ivec2, 8);
+
+ /// Default qualifier 32 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec3, aligned_ivec3, 16);
+
+ /// Default qualifier 32 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec4, aligned_ivec4, 16);
+
+
+ /// Default qualifier 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec1, aligned_i8vec1, 1);
+
+ /// Default qualifier 8 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec2, aligned_i8vec2, 2);
+
+ /// Default qualifier 8 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec3, aligned_i8vec3, 4);
+
+ /// Default qualifier 8 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec4, aligned_i8vec4, 4);
+
+
+ /// Default qualifier 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec1, aligned_i16vec1, 2);
+
+ /// Default qualifier 16 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec2, aligned_i16vec2, 4);
+
+ /// Default qualifier 16 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec3, aligned_i16vec3, 8);
+
+ /// Default qualifier 16 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec4, aligned_i16vec4, 8);
+
+
+ /// Default qualifier 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec1, aligned_i32vec1, 4);
+
+ /// Default qualifier 32 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec2, aligned_i32vec2, 8);
+
+ /// Default qualifier 32 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec3, aligned_i32vec3, 16);
+
+ /// Default qualifier 32 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec4, aligned_i32vec4, 16);
+
+
+ /// Default qualifier 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec1, aligned_i64vec1, 8);
+
+ /// Default qualifier 64 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec2, aligned_i64vec2, 16);
+
+ /// Default qualifier 64 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec3, aligned_i64vec3, 32);
+
+ /// Default qualifier 64 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec4, aligned_i64vec4, 32);
+
+
+ /////////////////////////////
+ // Unsigned int vector types
+
+ /// Low qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint8, aligned_lowp_uint8, 1);
+
+ /// Low qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint16, aligned_lowp_uint16, 2);
+
+ /// Low qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint32, aligned_lowp_uint32, 4);
+
+ /// Low qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint64, aligned_lowp_uint64, 8);
+
+
+ /// Low qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint8_t, aligned_lowp_uint8_t, 1);
+
+ /// Low qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint16_t, aligned_lowp_uint16_t, 2);
+
+ /// Low qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint32_t, aligned_lowp_uint32_t, 4);
+
+ /// Low qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint64_t, aligned_lowp_uint64_t, 8);
+
+
+ /// Low qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u8, aligned_lowp_u8, 1);
+
+ /// Low qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u16, aligned_lowp_u16, 2);
+
+ /// Low qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u32, aligned_lowp_u32, 4);
+
+ /// Low qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u64, aligned_lowp_u64, 8);
+
+
+ /// Medium qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint8, aligned_mediump_uint8, 1);
+
+ /// Medium qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint16, aligned_mediump_uint16, 2);
+
+ /// Medium qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint32, aligned_mediump_uint32, 4);
+
+ /// Medium qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint64, aligned_mediump_uint64, 8);
+
+
+ /// Medium qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint8_t, aligned_mediump_uint8_t, 1);
+
+ /// Medium qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint16_t, aligned_mediump_uint16_t, 2);
+
+ /// Medium qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint32_t, aligned_mediump_uint32_t, 4);
+
+ /// Medium qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint64_t, aligned_mediump_uint64_t, 8);
+
+
+ /// Medium qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u8, aligned_mediump_u8, 1);
+
+ /// Medium qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u16, aligned_mediump_u16, 2);
+
+ /// Medium qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u32, aligned_mediump_u32, 4);
+
+ /// Medium qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u64, aligned_mediump_u64, 8);
+
+
+ /// High qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint8, aligned_highp_uint8, 1);
+
+ /// High qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint16, aligned_highp_uint16, 2);
+
+ /// High qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint32, aligned_highp_uint32, 4);
+
+ /// High qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint64, aligned_highp_uint64, 8);
+
+
+ /// High qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint8_t, aligned_highp_uint8_t, 1);
+
+ /// High qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint16_t, aligned_highp_uint16_t, 2);
+
+ /// High qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint32_t, aligned_highp_uint32_t, 4);
+
+ /// High qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint64_t, aligned_highp_uint64_t, 8);
+
+
+ /// High qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u8, aligned_highp_u8, 1);
+
+ /// High qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u16, aligned_highp_u16, 2);
+
+ /// High qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u32, aligned_highp_u32, 4);
+
+ /// High qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u64, aligned_highp_u64, 8);
+
+
+ /// Default qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint8, aligned_uint8, 1);
+
+ /// Default qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint16, aligned_uint16, 2);
+
+ /// Default qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint32, aligned_uint32, 4);
+
+ /// Default qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint64, aligned_uint64, 8);
+
+
+ /// Default qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint8_t, aligned_uint8_t, 1);
+
+ /// Default qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint16_t, aligned_uint16_t, 2);
+
+ /// Default qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint32_t, aligned_uint32_t, 4);
+
+ /// Default qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint64_t, aligned_uint64_t, 8);
+
+
+ /// Default qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8, aligned_u8, 1);
+
+ /// Default qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16, aligned_u16, 2);
+
+ /// Default qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32, aligned_u32, 4);
+
+ /// Default qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64, aligned_u64, 8);
+
+
+ /// Default qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec1, aligned_uvec1, 4);
+
+ /// Default qualifier 32 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec2, aligned_uvec2, 8);
+
+ /// Default qualifier 32 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec3, aligned_uvec3, 16);
+
+ /// Default qualifier 32 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec4, aligned_uvec4, 16);
+
+
+ /// Default qualifier 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec1, aligned_u8vec1, 1);
+
+ /// Default qualifier 8 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec2, aligned_u8vec2, 2);
+
+ /// Default qualifier 8 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec3, aligned_u8vec3, 4);
+
+ /// Default qualifier 8 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec4, aligned_u8vec4, 4);
+
+
+ /// Default qualifier 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec1, aligned_u16vec1, 2);
+
+ /// Default qualifier 16 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec2, aligned_u16vec2, 4);
+
+ /// Default qualifier 16 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec3, aligned_u16vec3, 8);
+
+ /// Default qualifier 16 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec4, aligned_u16vec4, 8);
+
+
+ /// Default qualifier 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec1, aligned_u32vec1, 4);
+
+ /// Default qualifier 32 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec2, aligned_u32vec2, 8);
+
+ /// Default qualifier 32 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec3, aligned_u32vec3, 16);
+
+ /// Default qualifier 32 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec4, aligned_u32vec4, 16);
+
+
+ /// Default qualifier 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec1, aligned_u64vec1, 8);
+
+ /// Default qualifier 64 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec2, aligned_u64vec2, 16);
+
+ /// Default qualifier 64 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec3, aligned_u64vec3, 32);
+
+ /// Default qualifier 64 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec4, aligned_u64vec4, 32);
+
+
+ //////////////////////
+ // Float vector types
+
+ /// 32 bit single-qualifier floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float32, aligned_float32, 4);
+
+ /// 32 bit single-qualifier floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float32_t, aligned_float32_t, 4);
+
+ /// 32 bit single-qualifier floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float32, aligned_f32, 4);
+
+# ifndef GLM_FORCE_SINGLE_ONLY
+
+ /// 64 bit double-qualifier floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float64, aligned_float64, 8);
+
+ /// 64 bit double-qualifier floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float64_t, aligned_float64_t, 8);
+
+ /// 64 bit double-qualifier floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float64, aligned_f64, 8);
+
+# endif//GLM_FORCE_SINGLE_ONLY
+
+
+ /// Single-qualifier floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec1, aligned_vec1, 4);
+
+ /// Single-qualifier floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec2, aligned_vec2, 8);
+
+ /// Single-qualifier floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec3, aligned_vec3, 16);
+
+ /// Single-qualifier floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec4, aligned_vec4, 16);
+
+
+ /// Single-qualifier floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec1, aligned_fvec1, 4);
+
+ /// Single-qualifier floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec2, aligned_fvec2, 8);
+
+ /// Single-qualifier floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec3, aligned_fvec3, 16);
+
+ /// Single-qualifier floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec4, aligned_fvec4, 16);
+
+
+ /// Single-qualifier floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec1, aligned_f32vec1, 4);
+
+ /// Single-qualifier floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec2, aligned_f32vec2, 8);
+
+ /// Single-qualifier floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec3, aligned_f32vec3, 16);
+
+ /// Single-qualifier floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec4, aligned_f32vec4, 16);
+
+
+ /// Double-qualifier floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec1, aligned_dvec1, 8);
+
+ /// Double-qualifier floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec2, aligned_dvec2, 16);
+
+ /// Double-qualifier floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec3, aligned_dvec3, 32);
+
+ /// Double-qualifier floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec4, aligned_dvec4, 32);
+
+
+# ifndef GLM_FORCE_SINGLE_ONLY
+
+ /// Double-qualifier floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec1, aligned_f64vec1, 8);
+
+ /// Double-qualifier floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec2, aligned_f64vec2, 16);
+
+ /// Double-qualifier floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec3, aligned_f64vec3, 32);
+
+ /// Double-qualifier floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec4, aligned_f64vec4, 32);
+
+# endif//GLM_FORCE_SINGLE_ONLY
+
+ //////////////////////
+ // Float matrix types
+
+ /// Single-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1<f32> mat1;
+
+ /// Single-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat2, aligned_mat2, 16);
+
+ /// Single-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat3, aligned_mat3, 16);
+
+ /// Single-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat4, aligned_mat4, 16);
+
+
+ /// Single-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f32> mat1;
+
+ /// Single-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat2x2, aligned_mat2x2, 16);
+
+ /// Single-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat3x3, aligned_mat3x3, 16);
+
+ /// Single-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat4x4, aligned_mat4x4, 16);
+
+
+ /// Single-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f32> fmat1;
+
+ /// Single-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x2, aligned_fmat2, 16);
+
+ /// Single-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x3, aligned_fmat3, 16);
+
+ /// Single-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x4, aligned_fmat4, 16);
+
+
+ /// Single-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef f32 fmat1x1;
+
+ /// Single-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x2, aligned_fmat2x2, 16);
+
+ /// Single-qualifier floating-point aligned 2x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x3, aligned_fmat2x3, 16);
+
+ /// Single-qualifier floating-point aligned 2x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x4, aligned_fmat2x4, 16);
+
+ /// Single-qualifier floating-point aligned 3x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x2, aligned_fmat3x2, 16);
+
+ /// Single-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x3, aligned_fmat3x3, 16);
+
+ /// Single-qualifier floating-point aligned 3x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x4, aligned_fmat3x4, 16);
+
+ /// Single-qualifier floating-point aligned 4x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x2, aligned_fmat4x2, 16);
+
+ /// Single-qualifier floating-point aligned 4x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x3, aligned_fmat4x3, 16);
+
+ /// Single-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x4, aligned_fmat4x4, 16);
+
+
+ /// Single-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f32, defaultp> f32mat1;
+
+ /// Single-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x2, aligned_f32mat2, 16);
+
+ /// Single-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x3, aligned_f32mat3, 16);
+
+ /// Single-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x4, aligned_f32mat4, 16);
+
+
+ /// Single-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef f32 f32mat1x1;
+
+ /// Single-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x2, aligned_f32mat2x2, 16);
+
+ /// Single-qualifier floating-point aligned 2x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x3, aligned_f32mat2x3, 16);
+
+ /// Single-qualifier floating-point aligned 2x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x4, aligned_f32mat2x4, 16);
+
+ /// Single-qualifier floating-point aligned 3x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x2, aligned_f32mat3x2, 16);
+
+ /// Single-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x3, aligned_f32mat3x3, 16);
+
+ /// Single-qualifier floating-point aligned 3x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x4, aligned_f32mat3x4, 16);
+
+ /// Single-qualifier floating-point aligned 4x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x2, aligned_f32mat4x2, 16);
+
+ /// Single-qualifier floating-point aligned 4x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x3, aligned_f32mat4x3, 16);
+
+ /// Single-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x4, aligned_f32mat4x4, 16);
+
+
+# ifndef GLM_FORCE_SINGLE_ONLY
+
+ /// Double-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f64, defaultp> f64mat1;
+
+ /// Double-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x2, aligned_f64mat2, 32);
+
+ /// Double-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x3, aligned_f64mat3, 32);
+
+ /// Double-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x4, aligned_f64mat4, 32);
+
+
+ /// Double-qualifier floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef f64 f64mat1x1;
+
+ /// Double-qualifier floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x2, aligned_f64mat2x2, 32);
+
+ /// Double-qualifier floating-point aligned 2x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x3, aligned_f64mat2x3, 32);
+
+ /// Double-qualifier floating-point aligned 2x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x4, aligned_f64mat2x4, 32);
+
+ /// Double-qualifier floating-point aligned 3x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x2, aligned_f64mat3x2, 32);
+
+ /// Double-qualifier floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x3, aligned_f64mat3x3, 32);
+
+ /// Double-qualifier floating-point aligned 3x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x4, aligned_f64mat3x4, 32);
+
+ /// Double-qualifier floating-point aligned 4x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x2, aligned_f64mat4x2, 32);
+
+ /// Double-qualifier floating-point aligned 4x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x3, aligned_f64mat4x3, 32);
+
+ /// Double-qualifier floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x4, aligned_f64mat4x4, 32);
+
+# endif//GLM_FORCE_SINGLE_ONLY
+
+
+ //////////////////////////
+ // Quaternion types
+
+ /// Single-qualifier floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(quat, aligned_quat, 16);
+
+ /// Single-qualifier floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(quat, aligned_fquat, 16);
+
+ /// Double-qualifier floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dquat, aligned_dquat, 32);
+
+ /// Single-qualifier floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32quat, aligned_f32quat, 16);
+
+# ifndef GLM_FORCE_SINGLE_ONLY
+
+ /// Double-qualifier floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64quat, aligned_f64quat, 32);
+
+# endif//GLM_FORCE_SINGLE_ONLY
+
+ /// @}
+}//namespace glm
+
+#include "type_aligned.inl"
diff --git a/src/include/glm/gtx/type_aligned.inl b/src/include/glm/gtx/type_aligned.inl
new file mode 100644
index 0000000..803fcc2
--- /dev/null
+++ b/src/include/glm/gtx/type_aligned.inl
@@ -0,0 +1,6 @@
+/// @ref gtc_type_aligned
+
+namespace glm
+{
+
+}
diff --git a/src/include/glm/gtx/type_trait.hpp b/src/include/glm/gtx/type_trait.hpp
new file mode 100644
index 0000000..e5361f5
--- /dev/null
+++ b/src/include/glm/gtx/type_trait.hpp
@@ -0,0 +1,85 @@
+/// @ref gtx_type_trait
+/// @file glm/gtx/type_trait.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_type_trait GLM_GTX_type_trait
+/// @ingroup gtx
+///
+/// Include <glm/gtx/type_trait.hpp> to use the features of this extension.
+///
+/// Defines traits for each type.
+
+#pragma once
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_type_trait is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_type_trait extension included")
+# endif
+#endif
+
+// Dependency:
+#include "../detail/qualifier.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtx/dual_quaternion.hpp"
+
+namespace glm
+{
+ /// @addtogroup gtx_type_trait
+ /// @{
+
+ template<typename T>
+ struct type
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = false;
+ static bool const is_quat = false;
+ static length_t const components = 0;
+ static length_t const cols = 0;
+ static length_t const rows = 0;
+ };
+
+ template<length_t L, typename T, qualifier Q>
+ struct type<vec<L, T, Q> >
+ {
+ static bool const is_vec = true;
+ static bool const is_mat = false;
+ static bool const is_quat = false;
+ static length_t const components = L;
+ };
+
+ template<length_t C, length_t R, typename T, qualifier Q>
+ struct type<mat<C, R, T, Q> >
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ static length_t const components = C;
+ static length_t const cols = C;
+ static length_t const rows = R;
+ };
+
+ template<typename T, qualifier Q>
+ struct type<qua<T, Q> >
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = false;
+ static bool const is_quat = true;
+ static length_t const components = 4;
+ };
+
+ template<typename T, qualifier Q>
+ struct type<tdualquat<T, Q> >
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = false;
+ static bool const is_quat = true;
+ static length_t const components = 8;
+ };
+
+ /// @}
+}//namespace glm
+
+#include "type_trait.inl"
diff --git a/src/include/glm/gtx/type_trait.inl b/src/include/glm/gtx/type_trait.inl
new file mode 100644
index 0000000..74bae4f
--- /dev/null
+++ b/src/include/glm/gtx/type_trait.inl
@@ -0,0 +1,61 @@
+/// @ref gtx_type_trait
+
+namespace glm
+{
+ template<typename T>
+ bool const type<T>::is_vec;
+ template<typename T>
+ bool const type<T>::is_mat;
+ template<typename T>
+ bool const type<T>::is_quat;
+ template<typename T>
+ length_t const type<T>::components;
+ template<typename T>
+ length_t const type<T>::cols;
+ template<typename T>
+ length_t const type<T>::rows;
+
+ // vec
+ template<length_t L, typename T, qualifier Q>
+ bool const type<vec<L, T, Q> >::is_vec;
+ template<length_t L, typename T, qualifier Q>
+ bool const type<vec<L, T, Q> >::is_mat;
+ template<length_t L, typename T, qualifier Q>
+ bool const type<vec<L, T, Q> >::is_quat;
+ template<length_t L, typename T, qualifier Q>
+ length_t const type<vec<L, T, Q> >::components;
+
+ // mat
+ template<length_t C, length_t R, typename T, qualifier Q>
+ bool const type<mat<C, R, T, Q> >::is_vec;
+ template<length_t C, length_t R, typename T, qualifier Q>
+ bool const type<mat<C, R, T, Q> >::is_mat;
+ template<length_t C, length_t R, typename T, qualifier Q>
+ bool const type<mat<C, R, T, Q> >::is_quat;
+ template<length_t C, length_t R, typename T, qualifier Q>
+ length_t const type<mat<C, R, T, Q> >::components;
+ template<length_t C, length_t R, typename T, qualifier Q>
+ length_t const type<mat<C, R, T, Q> >::cols;
+ template<length_t C, length_t R, typename T, qualifier Q>
+ length_t const type<mat<C, R, T, Q> >::rows;
+
+ // tquat
+ template<typename T, qualifier Q>
+ bool const type<qua<T, Q> >::is_vec;
+ template<typename T, qualifier Q>
+ bool const type<qua<T, Q> >::is_mat;
+ template<typename T, qualifier Q>
+ bool const type<qua<T, Q> >::is_quat;
+ template<typename T, qualifier Q>
+ length_t const type<qua<T, Q> >::components;
+
+ // tdualquat
+ template<typename T, qualifier Q>
+ bool const type<tdualquat<T, Q> >::is_vec;
+ template<typename T, qualifier Q>
+ bool const type<tdualquat<T, Q> >::is_mat;
+ template<typename T, qualifier Q>
+ bool const type<tdualquat<T, Q> >::is_quat;
+ template<typename T, qualifier Q>
+ length_t const type<tdualquat<T, Q> >::components;
+}//namespace glm
diff --git a/src/include/glm/gtx/vec_swizzle.hpp b/src/include/glm/gtx/vec_swizzle.hpp
new file mode 100644
index 0000000..0e5b722
--- /dev/null
+++ b/src/include/glm/gtx/vec_swizzle.hpp
@@ -0,0 +1,2782 @@
+/// @ref gtx_vec_swizzle
+/// @file glm/gtx/vec_swizzle.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_vec_swizzle GLM_GTX_vec_swizzle
+/// @ingroup gtx
+///
+/// Include <glm/gtx/vec_swizzle.hpp> to use the features of this extension.
+///
+/// Functions to perform swizzle operation.
+
+#pragma once
+
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_vec_swizzle is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_vec_swizzle extension included")
+# endif
+#endif
+
+namespace glm {
+ // xx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xx(const glm::vec<1, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.x);
+ }
+
+ // xy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.y);
+ }
+
+ // xz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.z);
+ }
+
+ // xw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> xw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.x, v.w);
+ }
+
+ // yx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.x);
+ }
+
+ // yy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.y);
+ }
+
+ // yz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.z);
+ }
+
+ // yw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> yw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.y, v.w);
+ }
+
+ // zx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> zx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> zx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.z, v.x);
+ }
+
+ // zy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> zy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> zy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.z, v.y);
+ }
+
+ // zz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> zz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> zz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.z, v.z);
+ }
+
+ // zw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> zw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.z, v.w);
+ }
+
+ // wx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> wx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.w, v.x);
+ }
+
+ // wy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> wy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.w, v.y);
+ }
+
+ // wz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> wz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.w, v.z);
+ }
+
+ // ww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<2, T, Q> ww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<2, T, Q>(v.w, v.w);
+ }
+
+ // xxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxx(const glm::vec<1, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.x);
+ }
+
+ // xxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.y);
+ }
+
+ // xxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.z);
+ }
+
+ // xxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.x, v.w);
+ }
+
+ // xyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.x);
+ }
+
+ // xyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.y);
+ }
+
+ // xyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.z);
+ }
+
+ // xyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.y, v.w);
+ }
+
+ // xzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.z, v.x);
+ }
+
+ // xzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.z, v.y);
+ }
+
+ // xzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.z, v.z);
+ }
+
+ // xzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.z, v.w);
+ }
+
+ // xwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.w, v.x);
+ }
+
+ // xwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.w, v.y);
+ }
+
+ // xwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.w, v.z);
+ }
+
+ // xww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> xww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.x, v.w, v.w);
+ }
+
+ // yxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.x);
+ }
+
+ // yxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.y);
+ }
+
+ // yxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.z);
+ }
+
+ // yxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.x, v.w);
+ }
+
+ // yyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.x);
+ }
+
+ // yyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.y);
+ }
+
+ // yyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.z);
+ }
+
+ // yyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.y, v.w);
+ }
+
+ // yzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.z, v.x);
+ }
+
+ // yzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.z, v.y);
+ }
+
+ // yzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.z, v.z);
+ }
+
+ // yzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.z, v.w);
+ }
+
+ // ywx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> ywx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.w, v.x);
+ }
+
+ // ywy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> ywy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.w, v.y);
+ }
+
+ // ywz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> ywz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.w, v.z);
+ }
+
+ // yww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> yww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.y, v.w, v.w);
+ }
+
+ // zxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.x, v.x);
+ }
+
+ // zxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.x, v.y);
+ }
+
+ // zxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.x, v.z);
+ }
+
+ // zxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.x, v.w);
+ }
+
+ // zyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.y, v.x);
+ }
+
+ // zyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.y, v.y);
+ }
+
+ // zyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.y, v.z);
+ }
+
+ // zyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.y, v.w);
+ }
+
+ // zzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.z, v.x);
+ }
+
+ // zzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.z, v.y);
+ }
+
+ // zzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.z, v.z);
+ }
+
+ // zzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.z, v.w);
+ }
+
+ // zwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.w, v.x);
+ }
+
+ // zwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.w, v.y);
+ }
+
+ // zwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.w, v.z);
+ }
+
+ // zww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> zww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.z, v.w, v.w);
+ }
+
+ // wxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.x, v.x);
+ }
+
+ // wxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.x, v.y);
+ }
+
+ // wxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.x, v.z);
+ }
+
+ // wxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.x, v.w);
+ }
+
+ // wyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.y, v.x);
+ }
+
+ // wyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.y, v.y);
+ }
+
+ // wyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.y, v.z);
+ }
+
+ // wyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.y, v.w);
+ }
+
+ // wzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.z, v.x);
+ }
+
+ // wzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.z, v.y);
+ }
+
+ // wzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.z, v.z);
+ }
+
+ // wzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.z, v.w);
+ }
+
+ // wwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.w, v.x);
+ }
+
+ // wwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.w, v.y);
+ }
+
+ // wwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> wwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.w, v.z);
+ }
+
+ // www
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<3, T, Q> www(const glm::vec<4, T, Q> &v) {
+ return glm::vec<3, T, Q>(v.w, v.w, v.w);
+ }
+
+ // xxxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxx(const glm::vec<1, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.x);
+ }
+
+ // xxxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.y);
+ }
+
+ // xxxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.z);
+ }
+
+ // xxxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.x, v.w);
+ }
+
+ // xxyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.x);
+ }
+
+ // xxyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.y);
+ }
+
+ // xxyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.z);
+ }
+
+ // xxyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.y, v.w);
+ }
+
+ // xxzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.z, v.x);
+ }
+
+ // xxzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.z, v.y);
+ }
+
+ // xxzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.z, v.z);
+ }
+
+ // xxzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.z, v.w);
+ }
+
+ // xxwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.w, v.x);
+ }
+
+ // xxwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.w, v.y);
+ }
+
+ // xxwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.w, v.z);
+ }
+
+ // xxww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xxww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.x, v.w, v.w);
+ }
+
+ // xyxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.x);
+ }
+
+ // xyxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.y);
+ }
+
+ // xyxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.z);
+ }
+
+ // xyxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.x, v.w);
+ }
+
+ // xyyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.x);
+ }
+
+ // xyyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.y);
+ }
+
+ // xyyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.z);
+ }
+
+ // xyyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.y, v.w);
+ }
+
+ // xyzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.z, v.x);
+ }
+
+ // xyzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.z, v.y);
+ }
+
+ // xyzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.z, v.z);
+ }
+
+ // xyzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.z, v.w);
+ }
+
+ // xywx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xywx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.w, v.x);
+ }
+
+ // xywy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xywy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.w, v.y);
+ }
+
+ // xywz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xywz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.w, v.z);
+ }
+
+ // xyww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xyww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.y, v.w, v.w);
+ }
+
+ // xzxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.x, v.x);
+ }
+
+ // xzxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.x, v.y);
+ }
+
+ // xzxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.x, v.z);
+ }
+
+ // xzxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.x, v.w);
+ }
+
+ // xzyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.y, v.x);
+ }
+
+ // xzyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.y, v.y);
+ }
+
+ // xzyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.y, v.z);
+ }
+
+ // xzyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.y, v.w);
+ }
+
+ // xzzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.z, v.x);
+ }
+
+ // xzzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.z, v.y);
+ }
+
+ // xzzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.z, v.z);
+ }
+
+ // xzzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.z, v.w);
+ }
+
+ // xzwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.w, v.x);
+ }
+
+ // xzwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.w, v.y);
+ }
+
+ // xzwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.w, v.z);
+ }
+
+ // xzww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xzww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.z, v.w, v.w);
+ }
+
+ // xwxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.x, v.x);
+ }
+
+ // xwxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.x, v.y);
+ }
+
+ // xwxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.x, v.z);
+ }
+
+ // xwxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.x, v.w);
+ }
+
+ // xwyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.y, v.x);
+ }
+
+ // xwyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.y, v.y);
+ }
+
+ // xwyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.y, v.z);
+ }
+
+ // xwyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.y, v.w);
+ }
+
+ // xwzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.z, v.x);
+ }
+
+ // xwzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.z, v.y);
+ }
+
+ // xwzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.z, v.z);
+ }
+
+ // xwzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.z, v.w);
+ }
+
+ // xwwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.w, v.x);
+ }
+
+ // xwwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.w, v.y);
+ }
+
+ // xwwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.w, v.z);
+ }
+
+ // xwww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> xwww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.x, v.w, v.w, v.w);
+ }
+
+ // yxxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.x);
+ }
+
+ // yxxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.y);
+ }
+
+ // yxxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.z);
+ }
+
+ // yxxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.x, v.w);
+ }
+
+ // yxyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.x);
+ }
+
+ // yxyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.y);
+ }
+
+ // yxyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.z);
+ }
+
+ // yxyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.y, v.w);
+ }
+
+ // yxzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.z, v.x);
+ }
+
+ // yxzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.z, v.y);
+ }
+
+ // yxzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.z, v.z);
+ }
+
+ // yxzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.z, v.w);
+ }
+
+ // yxwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.w, v.x);
+ }
+
+ // yxwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.w, v.y);
+ }
+
+ // yxwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.w, v.z);
+ }
+
+ // yxww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yxww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.x, v.w, v.w);
+ }
+
+ // yyxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.x);
+ }
+
+ // yyxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.y);
+ }
+
+ // yyxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.z);
+ }
+
+ // yyxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.x, v.w);
+ }
+
+ // yyyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyx(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.x);
+ }
+
+ // yyyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyy(const glm::vec<2, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.y);
+ }
+
+ // yyyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.z);
+ }
+
+ // yyyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.y, v.w);
+ }
+
+ // yyzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.z, v.x);
+ }
+
+ // yyzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.z, v.y);
+ }
+
+ // yyzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.z, v.z);
+ }
+
+ // yyzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.z, v.w);
+ }
+
+ // yywx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yywx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.w, v.x);
+ }
+
+ // yywy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yywy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.w, v.y);
+ }
+
+ // yywz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yywz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.w, v.z);
+ }
+
+ // yyww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yyww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.y, v.w, v.w);
+ }
+
+ // yzxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.x, v.x);
+ }
+
+ // yzxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.x, v.y);
+ }
+
+ // yzxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.x, v.z);
+ }
+
+ // yzxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.x, v.w);
+ }
+
+ // yzyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.y, v.x);
+ }
+
+ // yzyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.y, v.y);
+ }
+
+ // yzyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.y, v.z);
+ }
+
+ // yzyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.y, v.w);
+ }
+
+ // yzzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.z, v.x);
+ }
+
+ // yzzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.z, v.y);
+ }
+
+ // yzzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.z, v.z);
+ }
+
+ // yzzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.z, v.w);
+ }
+
+ // yzwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.w, v.x);
+ }
+
+ // yzwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.w, v.y);
+ }
+
+ // yzwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.w, v.z);
+ }
+
+ // yzww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> yzww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.z, v.w, v.w);
+ }
+
+ // ywxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.x, v.x);
+ }
+
+ // ywxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.x, v.y);
+ }
+
+ // ywxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.x, v.z);
+ }
+
+ // ywxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.x, v.w);
+ }
+
+ // ywyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.y, v.x);
+ }
+
+ // ywyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.y, v.y);
+ }
+
+ // ywyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.y, v.z);
+ }
+
+ // ywyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.y, v.w);
+ }
+
+ // ywzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.z, v.x);
+ }
+
+ // ywzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.z, v.y);
+ }
+
+ // ywzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.z, v.z);
+ }
+
+ // ywzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.z, v.w);
+ }
+
+ // ywwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.w, v.x);
+ }
+
+ // ywwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.w, v.y);
+ }
+
+ // ywwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.w, v.z);
+ }
+
+ // ywww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> ywww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.y, v.w, v.w, v.w);
+ }
+
+ // zxxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.x, v.x);
+ }
+
+ // zxxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.x, v.y);
+ }
+
+ // zxxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.x, v.z);
+ }
+
+ // zxxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.x, v.w);
+ }
+
+ // zxyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.y, v.x);
+ }
+
+ // zxyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.y, v.y);
+ }
+
+ // zxyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.y, v.z);
+ }
+
+ // zxyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.y, v.w);
+ }
+
+ // zxzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.z, v.x);
+ }
+
+ // zxzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.z, v.y);
+ }
+
+ // zxzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.z, v.z);
+ }
+
+ // zxzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.z, v.w);
+ }
+
+ // zxwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.w, v.x);
+ }
+
+ // zxwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.w, v.y);
+ }
+
+ // zxwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.w, v.z);
+ }
+
+ // zxww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zxww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.x, v.w, v.w);
+ }
+
+ // zyxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.x, v.x);
+ }
+
+ // zyxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.x, v.y);
+ }
+
+ // zyxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.x, v.z);
+ }
+
+ // zyxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.x, v.w);
+ }
+
+ // zyyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.y, v.x);
+ }
+
+ // zyyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.y, v.y);
+ }
+
+ // zyyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.y, v.z);
+ }
+
+ // zyyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.y, v.w);
+ }
+
+ // zyzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.z, v.x);
+ }
+
+ // zyzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.z, v.y);
+ }
+
+ // zyzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.z, v.z);
+ }
+
+ // zyzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.z, v.w);
+ }
+
+ // zywx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zywx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.w, v.x);
+ }
+
+ // zywy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zywy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.w, v.y);
+ }
+
+ // zywz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zywz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.w, v.z);
+ }
+
+ // zyww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zyww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.y, v.w, v.w);
+ }
+
+ // zzxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzxx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.x, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.x, v.x);
+ }
+
+ // zzxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzxy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.x, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.x, v.y);
+ }
+
+ // zzxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzxz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.x, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.x, v.z);
+ }
+
+ // zzxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.x, v.w);
+ }
+
+ // zzyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzyx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.y, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.y, v.x);
+ }
+
+ // zzyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzyy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.y, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.y, v.y);
+ }
+
+ // zzyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzyz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.y, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.y, v.z);
+ }
+
+ // zzyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.y, v.w);
+ }
+
+ // zzzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzzx(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.z, v.x);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.z, v.x);
+ }
+
+ // zzzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzzy(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.z, v.y);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.z, v.y);
+ }
+
+ // zzzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzzz(const glm::vec<3, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.z, v.z);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.z, v.z);
+ }
+
+ // zzzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.z, v.w);
+ }
+
+ // zzwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.w, v.x);
+ }
+
+ // zzwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.w, v.y);
+ }
+
+ // zzwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.w, v.z);
+ }
+
+ // zzww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zzww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.z, v.w, v.w);
+ }
+
+ // zwxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.x, v.x);
+ }
+
+ // zwxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.x, v.y);
+ }
+
+ // zwxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.x, v.z);
+ }
+
+ // zwxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.x, v.w);
+ }
+
+ // zwyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.y, v.x);
+ }
+
+ // zwyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.y, v.y);
+ }
+
+ // zwyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.y, v.z);
+ }
+
+ // zwyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.y, v.w);
+ }
+
+ // zwzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.z, v.x);
+ }
+
+ // zwzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.z, v.y);
+ }
+
+ // zwzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.z, v.z);
+ }
+
+ // zwzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.z, v.w);
+ }
+
+ // zwwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.w, v.x);
+ }
+
+ // zwwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.w, v.y);
+ }
+
+ // zwwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.w, v.z);
+ }
+
+ // zwww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> zwww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.z, v.w, v.w, v.w);
+ }
+
+ // wxxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.x, v.x);
+ }
+
+ // wxxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.x, v.y);
+ }
+
+ // wxxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.x, v.z);
+ }
+
+ // wxxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.x, v.w);
+ }
+
+ // wxyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.y, v.x);
+ }
+
+ // wxyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.y, v.y);
+ }
+
+ // wxyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.y, v.z);
+ }
+
+ // wxyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.y, v.w);
+ }
+
+ // wxzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.z, v.x);
+ }
+
+ // wxzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.z, v.y);
+ }
+
+ // wxzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.z, v.z);
+ }
+
+ // wxzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.z, v.w);
+ }
+
+ // wxwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.w, v.x);
+ }
+
+ // wxwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.w, v.y);
+ }
+
+ // wxwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.w, v.z);
+ }
+
+ // wxww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wxww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.x, v.w, v.w);
+ }
+
+ // wyxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.x, v.x);
+ }
+
+ // wyxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.x, v.y);
+ }
+
+ // wyxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.x, v.z);
+ }
+
+ // wyxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.x, v.w);
+ }
+
+ // wyyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.y, v.x);
+ }
+
+ // wyyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.y, v.y);
+ }
+
+ // wyyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.y, v.z);
+ }
+
+ // wyyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.y, v.w);
+ }
+
+ // wyzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.z, v.x);
+ }
+
+ // wyzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.z, v.y);
+ }
+
+ // wyzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.z, v.z);
+ }
+
+ // wyzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.z, v.w);
+ }
+
+ // wywx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wywx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.w, v.x);
+ }
+
+ // wywy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wywy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.w, v.y);
+ }
+
+ // wywz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wywz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.w, v.z);
+ }
+
+ // wyww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wyww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.y, v.w, v.w);
+ }
+
+ // wzxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.x, v.x);
+ }
+
+ // wzxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.x, v.y);
+ }
+
+ // wzxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.x, v.z);
+ }
+
+ // wzxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.x, v.w);
+ }
+
+ // wzyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.y, v.x);
+ }
+
+ // wzyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.y, v.y);
+ }
+
+ // wzyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.y, v.z);
+ }
+
+ // wzyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.y, v.w);
+ }
+
+ // wzzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.z, v.x);
+ }
+
+ // wzzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.z, v.y);
+ }
+
+ // wzzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.z, v.z);
+ }
+
+ // wzzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.z, v.w);
+ }
+
+ // wzwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.w, v.x);
+ }
+
+ // wzwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.w, v.y);
+ }
+
+ // wzwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.w, v.z);
+ }
+
+ // wzww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wzww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.z, v.w, v.w);
+ }
+
+ // wwxx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwxx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.x, v.x);
+ }
+
+ // wwxy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwxy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.x, v.y);
+ }
+
+ // wwxz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwxz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.x, v.z);
+ }
+
+ // wwxw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwxw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.x, v.w);
+ }
+
+ // wwyx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwyx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.y, v.x);
+ }
+
+ // wwyy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwyy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.y, v.y);
+ }
+
+ // wwyz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwyz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.y, v.z);
+ }
+
+ // wwyw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwyw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.y, v.w);
+ }
+
+ // wwzx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwzx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.z, v.x);
+ }
+
+ // wwzy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwzy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.z, v.y);
+ }
+
+ // wwzz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwzz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.z, v.z);
+ }
+
+ // wwzw
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwzw(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.z, v.w);
+ }
+
+ // wwwx
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwwx(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.w, v.x);
+ }
+
+ // wwwy
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwwy(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.w, v.y);
+ }
+
+ // wwwz
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwwz(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.w, v.z);
+ }
+
+ // wwww
+ template<typename T, qualifier Q>
+ GLM_INLINE glm::vec<4, T, Q> wwww(const glm::vec<4, T, Q> &v) {
+ return glm::vec<4, T, Q>(v.w, v.w, v.w, v.w);
+ }
+
+}
diff --git a/src/include/glm/gtx/vector_angle.hpp b/src/include/glm/gtx/vector_angle.hpp
new file mode 100644
index 0000000..ae17916
--- /dev/null
+++ b/src/include/glm/gtx/vector_angle.hpp
@@ -0,0 +1,57 @@
+/// @ref gtx_vector_angle
+/// @file glm/gtx/vector_angle.hpp
+///
+/// @see core (dependence)
+/// @see gtx_quaternion (dependence)
+/// @see gtx_epsilon (dependence)
+///
+/// @defgroup gtx_vector_angle GLM_GTX_vector_angle
+/// @ingroup gtx
+///
+/// Include <glm/gtx/vector_angle.hpp> to use the features of this extension.
+///
+/// Compute angle between vectors
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/epsilon.hpp"
+#include "../gtx/quaternion.hpp"
+#include "../gtx/rotate_vector.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_vector_angle is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_vector_angle extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_vector_angle
+ /// @{
+
+ //! Returns the absolute angle between two vectors.
+ //! Parameters need to be normalized.
+ /// @see gtx_vector_angle extension.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL T angle(vec<L, T, Q> const& x, vec<L, T, Q> const& y);
+
+ //! Returns the oriented angle between two 2d vectors.
+ //! Parameters need to be normalized.
+ /// @see gtx_vector_angle extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T orientedAngle(vec<2, T, Q> const& x, vec<2, T, Q> const& y);
+
+ //! Returns the oriented angle between two 3d vectors based from a reference axis.
+ //! Parameters need to be normalized.
+ /// @see gtx_vector_angle extension.
+ template<typename T, qualifier Q>
+ GLM_FUNC_DECL T orientedAngle(vec<3, T, Q> const& x, vec<3, T, Q> const& y, vec<3, T, Q> const& ref);
+
+ /// @}
+}// namespace glm
+
+#include "vector_angle.inl"
diff --git a/src/include/glm/gtx/vector_angle.inl b/src/include/glm/gtx/vector_angle.inl
new file mode 100644
index 0000000..b12f386
--- /dev/null
+++ b/src/include/glm/gtx/vector_angle.inl
@@ -0,0 +1,44 @@
+/// @ref gtx_vector_angle
+
+namespace glm
+{
+ template<typename genType>
+ GLM_FUNC_QUALIFIER genType angle
+ (
+ genType const& x,
+ genType const& y
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'angle' only accept floating-point inputs");
+ return acos(clamp(dot(x, y), genType(-1), genType(1)));
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T angle(vec<L, T, Q> const& x, vec<L, T, Q> const& y)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'angle' only accept floating-point inputs");
+ return acos(clamp(dot(x, y), T(-1), T(1)));
+ }
+
+ //! \todo epsilon is hard coded to 0.01
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T orientedAngle(vec<2, T, Q> const& x, vec<2, T, Q> const& y)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'orientedAngle' only accept floating-point inputs");
+ T const Angle(acos(clamp(dot(x, y), T(-1), T(1))));
+
+ if(all(epsilonEqual(y, glm::rotate(x, Angle), T(0.0001))))
+ return Angle;
+ else
+ return -Angle;
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER T orientedAngle(vec<3, T, Q> const& x, vec<3, T, Q> const& y, vec<3, T, Q> const& ref)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'orientedAngle' only accept floating-point inputs");
+
+ T const Angle(acos(clamp(dot(x, y), T(-1), T(1))));
+ return mix(Angle, -Angle, dot(ref, cross(x, y)) < T(0));
+ }
+}//namespace glm
diff --git a/src/include/glm/gtx/vector_query.hpp b/src/include/glm/gtx/vector_query.hpp
new file mode 100644
index 0000000..0323ec6
--- /dev/null
+++ b/src/include/glm/gtx/vector_query.hpp
@@ -0,0 +1,66 @@
+/// @ref gtx_vector_query
+/// @file glm/gtx/vector_query.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_vector_query GLM_GTX_vector_query
+/// @ingroup gtx
+///
+/// Include <glm/gtx/vector_query.hpp> to use the features of this extension.
+///
+/// Query informations of vector types
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include <cfloat>
+#include <limits>
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_vector_query is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_vector_query extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_vector_query
+ /// @{
+
+ //! Check whether two vectors are collinears.
+ /// @see gtx_vector_query extensions.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL bool areCollinear(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon);
+
+ //! Check whether two vectors are orthogonals.
+ /// @see gtx_vector_query extensions.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL bool areOrthogonal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon);
+
+ //! Check whether a vector is normalized.
+ /// @see gtx_vector_query extensions.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNormalized(vec<L, T, Q> const& v, T const& epsilon);
+
+ //! Check whether a vector is null.
+ /// @see gtx_vector_query extensions.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL bool isNull(vec<L, T, Q> const& v, T const& epsilon);
+
+ //! Check whether a each component of a vector is null.
+ /// @see gtx_vector_query extensions.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL vec<L, bool, Q> isCompNull(vec<L, T, Q> const& v, T const& epsilon);
+
+ //! Check whether two vectors are orthonormal.
+ /// @see gtx_vector_query extensions.
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_DECL bool areOrthonormal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon);
+
+ /// @}
+}// namespace glm
+
+#include "vector_query.inl"
diff --git a/src/include/glm/gtx/vector_query.inl b/src/include/glm/gtx/vector_query.inl
new file mode 100644
index 0000000..8e1b62b
--- /dev/null
+++ b/src/include/glm/gtx/vector_query.inl
@@ -0,0 +1,154 @@
+/// @ref gtx_vector_query
+
+#include <cassert>
+
+namespace glm{
+namespace detail
+{
+ template<length_t L, typename T, qualifier Q>
+ struct compute_areCollinear{};
+
+ template<typename T, qualifier Q>
+ struct compute_areCollinear<2, T, Q>
+ {
+ GLM_FUNC_QUALIFIER static bool call(vec<2, T, Q> const& v0, vec<2, T, Q> const& v1, T const& epsilon)
+ {
+ return length(cross(vec<3, T, Q>(v0, static_cast<T>(0)), vec<3, T, Q>(v1, static_cast<T>(0)))) < epsilon;
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_areCollinear<3, T, Q>
+ {
+ GLM_FUNC_QUALIFIER static bool call(vec<3, T, Q> const& v0, vec<3, T, Q> const& v1, T const& epsilon)
+ {
+ return length(cross(v0, v1)) < epsilon;
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_areCollinear<4, T, Q>
+ {
+ GLM_FUNC_QUALIFIER static bool call(vec<4, T, Q> const& v0, vec<4, T, Q> const& v1, T const& epsilon)
+ {
+ return length(cross(vec<3, T, Q>(v0), vec<3, T, Q>(v1))) < epsilon;
+ }
+ };
+
+ template<length_t L, typename T, qualifier Q>
+ struct compute_isCompNull{};
+
+ template<typename T, qualifier Q>
+ struct compute_isCompNull<2, T, Q>
+ {
+ GLM_FUNC_QUALIFIER static vec<2, bool, Q> call(vec<2, T, Q> const& v, T const& epsilon)
+ {
+ return vec<2, bool, Q>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_isCompNull<3, T, Q>
+ {
+ GLM_FUNC_QUALIFIER static vec<3, bool, Q> call(vec<3, T, Q> const& v, T const& epsilon)
+ {
+ return vec<3, bool, Q>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon),
+ (abs(v.z) < epsilon));
+ }
+ };
+
+ template<typename T, qualifier Q>
+ struct compute_isCompNull<4, T, Q>
+ {
+ GLM_FUNC_QUALIFIER static vec<4, bool, Q> call(vec<4, T, Q> const& v, T const& epsilon)
+ {
+ return vec<4, bool, Q>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon),
+ (abs(v.z) < epsilon),
+ (abs(v.w) < epsilon));
+ }
+ };
+
+}//namespace detail
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool areCollinear(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areCollinear' only accept floating-point inputs");
+
+ return detail::compute_areCollinear<L, T, Q>::call(v0, v1, epsilon);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool areOrthogonal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areOrthogonal' only accept floating-point inputs");
+
+ return abs(dot(v0, v1)) <= max(
+ static_cast<T>(1),
+ length(v0)) * max(static_cast<T>(1), length(v1)) * epsilon;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNormalized(vec<L, T, Q> const& v, T const& epsilon)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNormalized' only accept floating-point inputs");
+
+ return abs(length(v) - static_cast<T>(1)) <= static_cast<T>(2) * epsilon;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool isNull(vec<L, T, Q> const& v, T const& epsilon)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNull' only accept floating-point inputs");
+
+ return length(v) <= epsilon;
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<L, bool, Q> isCompNull(vec<L, T, Q> const& v, T const& epsilon)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isCompNull' only accept floating-point inputs");
+
+ return detail::compute_isCompNull<L, T, Q>::call(v, epsilon);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<2, bool, Q> isCompNull(vec<2, T, Q> const& v, T const& epsilon)
+ {
+ return vec<2, bool, Q>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<3, bool, Q> isCompNull(vec<3, T, Q> const& v, T const& epsilon)
+ {
+ return vec<3, bool, Q>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon,
+ abs(v.z) < epsilon);
+ }
+
+ template<typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER vec<4, bool, Q> isCompNull(vec<4, T, Q> const& v, T const& epsilon)
+ {
+ return vec<4, bool, Q>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon,
+ abs(v.z) < epsilon,
+ abs(v.w) < epsilon);
+ }
+
+ template<length_t L, typename T, qualifier Q>
+ GLM_FUNC_QUALIFIER bool areOrthonormal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon)
+ {
+ return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
+ }
+
+}//namespace glm
diff --git a/src/include/glm/gtx/wrap.hpp b/src/include/glm/gtx/wrap.hpp
new file mode 100644
index 0000000..97a30d5
--- /dev/null
+++ b/src/include/glm/gtx/wrap.hpp
@@ -0,0 +1,37 @@
+/// @ref gtx_wrap
+/// @file glm/gtx/wrap.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_wrap GLM_GTX_wrap
+/// @ingroup gtx
+///
+/// Include <glm/gtx/wrap.hpp> to use the features of this extension.
+///
+/// Wrapping mode of texture coordinates.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../ext/scalar_common.hpp"
+#include "../ext/vector_common.hpp"
+#include "../gtc/vec1.hpp"
+
+#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
+# ifndef GLM_ENABLE_EXPERIMENTAL
+# pragma message("GLM: GLM_GTX_wrap is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.")
+# else
+# pragma message("GLM: GLM_GTX_wrap extension included")
+# endif
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_wrap
+ /// @{
+
+ /// @}
+}// namespace glm
+
+#include "wrap.inl"
diff --git a/src/include/glm/gtx/wrap.inl b/src/include/glm/gtx/wrap.inl
new file mode 100644
index 0000000..aa407f5
--- /dev/null
+++ b/src/include/glm/gtx/wrap.inl
@@ -0,0 +1,6 @@
+/// @ref gtx_wrap
+
+namespace glm
+{
+
+}//namespace glm