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Genesis-Plus-GX/libretro-common/include/gfx/math/matrix_4x4.h
Alberto Fustinoni 6c1487acb0 added all common
2017-06-20 10:27:03 +09:00

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/* Copyright (C) 2010-2017 The RetroArch team
*
* ---------------------------------------------------------------------------------------
* The following license statement only applies to this file (matrix_4x4.h).
* ---------------------------------------------------------------------------------------
*
* Permission is hereby granted, free of charge,
* to any person obtaining a copy of this software and associated documentation files (the "Software"),
* to deal in the Software without restriction, including without limitation the rights to
* use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software,
* and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
* INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
* WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
#ifndef __LIBRETRO_SDK_GFX_MATH_MATRIX_4X4_H__
#define __LIBRETRO_SDK_GFX_MATH_MATRIX_4X4_H__
#include <retro_common_api.h>
#include <math.h>
#include <gfx/math/vector_3.h>
/* Column-major matrix (OpenGL-style).
* Reimplements functionality from FF OpenGL pipeline to be able
* to work on GLES 2.0 and modern GL variants.
*/
#define MAT_ELEM_4X4(mat, row, column) ((mat).data[4 * (column) + (row)])
RETRO_BEGIN_DECLS
typedef struct math_matrix_4x4
{
float data[16];
} math_matrix_4x4;
#define matrix_4x4_copy(dst, src) \
MAT_ELEM_4X4(dst, 0, 0) = MAT_ELEM_4X4(src, 0, 0); \
MAT_ELEM_4X4(dst, 0, 1) = MAT_ELEM_4X4(src, 0, 1); \
MAT_ELEM_4X4(dst, 0, 2) = MAT_ELEM_4X4(src, 0, 2); \
MAT_ELEM_4X4(dst, 0, 3) = MAT_ELEM_4X4(src, 0, 3); \
MAT_ELEM_4X4(dst, 1, 0) = MAT_ELEM_4X4(src, 1, 0); \
MAT_ELEM_4X4(dst, 1, 1) = MAT_ELEM_4X4(src, 1, 1); \
MAT_ELEM_4X4(dst, 1, 2) = MAT_ELEM_4X4(src, 1, 2); \
MAT_ELEM_4X4(dst, 1, 3) = MAT_ELEM_4X4(src, 1, 3); \
MAT_ELEM_4X4(dst, 2, 0) = MAT_ELEM_4X4(src, 2, 0); \
MAT_ELEM_4X4(dst, 2, 1) = MAT_ELEM_4X4(src, 2, 1); \
MAT_ELEM_4X4(dst, 2, 2) = MAT_ELEM_4X4(src, 2, 2); \
MAT_ELEM_4X4(dst, 2, 3) = MAT_ELEM_4X4(src, 2, 3); \
MAT_ELEM_4X4(dst, 3, 0) = MAT_ELEM_4X4(src, 3, 0); \
MAT_ELEM_4X4(dst, 3, 1) = MAT_ELEM_4X4(src, 3, 1); \
MAT_ELEM_4X4(dst, 3, 2) = MAT_ELEM_4X4(src, 3, 2); \
MAT_ELEM_4X4(dst, 3, 3) = MAT_ELEM_4X4(src, 3, 3)
/*
* Sets mat to an identity matrix
*/
#define matrix_4x4_identity(mat) \
MAT_ELEM_4X4(mat, 0, 0) = 1.0f; \
MAT_ELEM_4X4(mat, 0, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 1) = 1.0f; \
MAT_ELEM_4X4(mat, 1, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 2) = 1.0f; \
MAT_ELEM_4X4(mat, 2, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 3) = 1.0f
/*
* Sets out to the transposed matrix of in
*/
#define matrix_4x4_transpose(out, in) \
MAT_ELEM_4X4(out, 0, 0) = MAT_ELEM_4X4(in, 0, 0); \
MAT_ELEM_4X4(out, 1, 0) = MAT_ELEM_4X4(in, 0, 1); \
MAT_ELEM_4X4(out, 2, 0) = MAT_ELEM_4X4(in, 0, 2); \
MAT_ELEM_4X4(out, 3, 0) = MAT_ELEM_4X4(in, 0, 3); \
MAT_ELEM_4X4(out, 0, 1) = MAT_ELEM_4X4(in, 1, 0); \
MAT_ELEM_4X4(out, 1, 1) = MAT_ELEM_4X4(in, 1, 1); \
MAT_ELEM_4X4(out, 2, 1) = MAT_ELEM_4X4(in, 1, 2); \
MAT_ELEM_4X4(out, 3, 1) = MAT_ELEM_4X4(in, 1, 3); \
MAT_ELEM_4X4(out, 0, 2) = MAT_ELEM_4X4(in, 2, 0); \
MAT_ELEM_4X4(out, 1, 2) = MAT_ELEM_4X4(in, 2, 1); \
MAT_ELEM_4X4(out, 2, 2) = MAT_ELEM_4X4(in, 2, 2); \
MAT_ELEM_4X4(out, 3, 2) = MAT_ELEM_4X4(in, 2, 3); \
MAT_ELEM_4X4(out, 0, 3) = MAT_ELEM_4X4(in, 3, 0); \
MAT_ELEM_4X4(out, 1, 3) = MAT_ELEM_4X4(in, 3, 1); \
MAT_ELEM_4X4(out, 2, 3) = MAT_ELEM_4X4(in, 3, 2); \
MAT_ELEM_4X4(out, 3, 3) = MAT_ELEM_4X4(in, 3, 3)
/*
* Builds an X-axis rotation matrix
*/
#define matrix_4x4_rotate_x(mat, radians) \
{ \
float cosine = cosf(radians); \
float sine = sinf(radians); \
MAT_ELEM_4X4(mat, 0, 0) = 1.0f; \
MAT_ELEM_4X4(mat, 0, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 1) = cosine; \
MAT_ELEM_4X4(mat, 1, 2) = -sine; \
MAT_ELEM_4X4(mat, 1, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 1) = sine; \
MAT_ELEM_4X4(mat, 2, 2) = cosine; \
MAT_ELEM_4X4(mat, 2, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 3) = 1.0f; \
}
/*
* Builds a rotation matrix using the
* rotation around the Y-axis.
*/
#define matrix_4x4_rotate_y(mat, radians) \
{ \
float cosine = cosf(radians); \
float sine = sinf(radians); \
MAT_ELEM_4X4(mat, 0, 0) = cosine; \
MAT_ELEM_4X4(mat, 0, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 2) = -sine; \
MAT_ELEM_4X4(mat, 0, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 1) = 1.0f; \
MAT_ELEM_4X4(mat, 1, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 0) = sine; \
MAT_ELEM_4X4(mat, 2, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 2) = cosine; \
MAT_ELEM_4X4(mat, 2, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 3) = 1.0f; \
}
/*
* Builds a rotation matrix using the
* rotation around the Z-axis.
*/
#define matrix_4x4_rotate_z(mat, radians) \
{ \
float cosine = cosf(radians); \
float sine = sinf(radians); \
MAT_ELEM_4X4(mat, 0, 0) = cosine; \
MAT_ELEM_4X4(mat, 0, 1) = -sine; \
MAT_ELEM_4X4(mat, 0, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 0) = sine; \
MAT_ELEM_4X4(mat, 1, 1) = cosine; \
MAT_ELEM_4X4(mat, 1, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 2) = 1.0f; \
MAT_ELEM_4X4(mat, 2, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 3) = 1.0f; \
}
/*
* Creates an orthographic projection matrix.
*/
#define matrix_4x4_ortho(mat, left, right, bottom, top, znear, zfar) \
{ \
float rl = (right) - (left); \
float tb = (top) - (bottom); \
float fn = (zfar) - (znear); \
MAT_ELEM_4X4(mat, 0, 0) = 2.0f / rl; \
MAT_ELEM_4X4(mat, 0, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 3) = -((left) + (right)) / rl; \
MAT_ELEM_4X4(mat, 1, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 1) = 2.0f / tb; \
MAT_ELEM_4X4(mat, 1, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 3) = -((top) + (bottom)) / tb; \
MAT_ELEM_4X4(mat, 2, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 2) = -2.0f / fn; \
MAT_ELEM_4X4(mat, 2, 3) = -((zfar) + (znear)) / fn; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 3) = 1.0f; \
}
#define matrix_4x4_lookat(out, eye, center, up) \
{ \
vec3_t zaxis; /* the "forward" vector */ \
vec3_t xaxis; /* the "right" vector */ \
vec3_t yaxis; /* the "up" vector */ \
vec3_copy(zaxis, center); \
vec3_subtract(zaxis, eye); \
vec3_normalize(zaxis); \
vec3_cross(xaxis, zaxis, up); \
vec3_normalize(xaxis); \
vec3_cross(yaxis, xaxis, zaxis); \
MAT_ELEM_4X4(out, 0, 0) = xaxis[0]; \
MAT_ELEM_4X4(out, 0, 1) = yaxis[0]; \
MAT_ELEM_4X4(out, 0, 2) = -zaxis[0]; \
MAT_ELEM_4X4(out, 0, 3) = 0.0; \
MAT_ELEM_4X4(out, 1, 0) = xaxis[1]; \
MAT_ELEM_4X4(out, 1, 1) = yaxis[1]; \
MAT_ELEM_4X4(out, 1, 2) = -zaxis[1]; \
MAT_ELEM_4X4(out, 1, 3) = 0.0f; \
MAT_ELEM_4X4(out, 2, 0) = xaxis[2]; \
MAT_ELEM_4X4(out, 2, 1) = yaxis[2]; \
MAT_ELEM_4X4(out, 2, 2) = -zaxis[2]; \
MAT_ELEM_4X4(out, 2, 3) = 0.0f; \
MAT_ELEM_4X4(out, 3, 0) = -(xaxis[0] * eye[0] + xaxis[1] * eye[1] + xaxis[2] * eye[2]); \
MAT_ELEM_4X4(out, 3, 1) = -(yaxis[0] * eye[0] + yaxis[1] * eye[1] + yaxis[2] * eye[2]); \
MAT_ELEM_4X4(out, 3, 2) = (zaxis[0] * eye[0] + zaxis[1] * eye[1] + zaxis[2] * eye[2]); \
MAT_ELEM_4X4(out, 3, 3) = 1.f; \
}
/*
* Multiplies a with b, stores the result in out
*/
#define matrix_4x4_multiply(out, a, b) \
MAT_ELEM_4X4(out, 0, 0) = \
MAT_ELEM_4X4(a, 0, 0) * MAT_ELEM_4X4(b, 0, 0) + \
MAT_ELEM_4X4(a, 0, 1) * MAT_ELEM_4X4(b, 1, 0) + \
MAT_ELEM_4X4(a, 0, 2) * MAT_ELEM_4X4(b, 2, 0) + \
MAT_ELEM_4X4(a, 0, 3) * MAT_ELEM_4X4(b, 3, 0); \
MAT_ELEM_4X4(out, 0, 1) = \
MAT_ELEM_4X4(a, 0, 0) * MAT_ELEM_4X4(b, 0, 1) + \
MAT_ELEM_4X4(a, 0, 1) * MAT_ELEM_4X4(b, 1, 1) + \
MAT_ELEM_4X4(a, 0, 2) * MAT_ELEM_4X4(b, 2, 1) + \
MAT_ELEM_4X4(a, 0, 3) * MAT_ELEM_4X4(b, 3, 1); \
MAT_ELEM_4X4(out, 0, 2) = \
MAT_ELEM_4X4(a, 0, 0) * MAT_ELEM_4X4(b, 0, 2) + \
MAT_ELEM_4X4(a, 0, 1) * MAT_ELEM_4X4(b, 1, 2) + \
MAT_ELEM_4X4(a, 0, 2) * MAT_ELEM_4X4(b, 2, 2) + \
MAT_ELEM_4X4(a, 0, 3) * MAT_ELEM_4X4(b, 3, 2); \
MAT_ELEM_4X4(out, 0, 3) = \
MAT_ELEM_4X4(a, 0, 0) * MAT_ELEM_4X4(b, 0, 3) + \
MAT_ELEM_4X4(a, 0, 1) * MAT_ELEM_4X4(b, 1, 3) + \
MAT_ELEM_4X4(a, 0, 2) * MAT_ELEM_4X4(b, 2, 3) + \
MAT_ELEM_4X4(a, 0, 3) * MAT_ELEM_4X4(b, 3, 3); \
MAT_ELEM_4X4(out, 1, 0) = \
MAT_ELEM_4X4(a, 1, 0) * MAT_ELEM_4X4(b, 0, 0) + \
MAT_ELEM_4X4(a, 1, 1) * MAT_ELEM_4X4(b, 1, 0) + \
MAT_ELEM_4X4(a, 1, 2) * MAT_ELEM_4X4(b, 2, 0) + \
MAT_ELEM_4X4(a, 1, 3) * MAT_ELEM_4X4(b, 3, 0); \
MAT_ELEM_4X4(out, 1, 1) = \
MAT_ELEM_4X4(a, 1, 0) * MAT_ELEM_4X4(b, 0, 1) + \
MAT_ELEM_4X4(a, 1, 1) * MAT_ELEM_4X4(b, 1, 1) + \
MAT_ELEM_4X4(a, 1, 2) * MAT_ELEM_4X4(b, 2, 1) + \
MAT_ELEM_4X4(a, 1, 3) * MAT_ELEM_4X4(b, 3, 1); \
MAT_ELEM_4X4(out, 1, 2) = \
MAT_ELEM_4X4(a, 1, 0) * MAT_ELEM_4X4(b, 0, 2) + \
MAT_ELEM_4X4(a, 1, 1) * MAT_ELEM_4X4(b, 1, 2) + \
MAT_ELEM_4X4(a, 1, 2) * MAT_ELEM_4X4(b, 2, 2) + \
MAT_ELEM_4X4(a, 1, 3) * MAT_ELEM_4X4(b, 3, 2); \
MAT_ELEM_4X4(out, 1, 3) = \
MAT_ELEM_4X4(a, 1, 0) * MAT_ELEM_4X4(b, 0, 3) + \
MAT_ELEM_4X4(a, 1, 1) * MAT_ELEM_4X4(b, 1, 3) + \
MAT_ELEM_4X4(a, 1, 2) * MAT_ELEM_4X4(b, 2, 3) + \
MAT_ELEM_4X4(a, 1, 3) * MAT_ELEM_4X4(b, 3, 3); \
MAT_ELEM_4X4(out, 2, 0) = \
MAT_ELEM_4X4(a, 2, 0) * MAT_ELEM_4X4(b, 0, 0) + \
MAT_ELEM_4X4(a, 2, 1) * MAT_ELEM_4X4(b, 1, 0) + \
MAT_ELEM_4X4(a, 2, 2) * MAT_ELEM_4X4(b, 2, 0) + \
MAT_ELEM_4X4(a, 2, 3) * MAT_ELEM_4X4(b, 3, 0); \
MAT_ELEM_4X4(out, 2, 1) = \
MAT_ELEM_4X4(a, 2, 0) * MAT_ELEM_4X4(b, 0, 1) + \
MAT_ELEM_4X4(a, 2, 1) * MAT_ELEM_4X4(b, 1, 1) + \
MAT_ELEM_4X4(a, 2, 2) * MAT_ELEM_4X4(b, 2, 1) + \
MAT_ELEM_4X4(a, 2, 3) * MAT_ELEM_4X4(b, 3, 1); \
MAT_ELEM_4X4(out, 2, 2) = \
MAT_ELEM_4X4(a, 2, 0) * MAT_ELEM_4X4(b, 0, 2) + \
MAT_ELEM_4X4(a, 2, 1) * MAT_ELEM_4X4(b, 1, 2) + \
MAT_ELEM_4X4(a, 2, 2) * MAT_ELEM_4X4(b, 2, 2) + \
MAT_ELEM_4X4(a, 2, 3) * MAT_ELEM_4X4(b, 3, 2); \
MAT_ELEM_4X4(out, 2, 3) = \
MAT_ELEM_4X4(a, 2, 0) * MAT_ELEM_4X4(b, 0, 3) + \
MAT_ELEM_4X4(a, 2, 1) * MAT_ELEM_4X4(b, 1, 3) + \
MAT_ELEM_4X4(a, 2, 2) * MAT_ELEM_4X4(b, 2, 3) + \
MAT_ELEM_4X4(a, 2, 3) * MAT_ELEM_4X4(b, 3, 3); \
MAT_ELEM_4X4(out, 3, 0) = \
MAT_ELEM_4X4(a, 3, 0) * MAT_ELEM_4X4(b, 0, 0) + \
MAT_ELEM_4X4(a, 3, 1) * MAT_ELEM_4X4(b, 1, 0) + \
MAT_ELEM_4X4(a, 3, 2) * MAT_ELEM_4X4(b, 2, 0) + \
MAT_ELEM_4X4(a, 3, 3) * MAT_ELEM_4X4(b, 3, 0); \
MAT_ELEM_4X4(out, 3, 1) = \
MAT_ELEM_4X4(a, 3, 0) * MAT_ELEM_4X4(b, 0, 1) + \
MAT_ELEM_4X4(a, 3, 1) * MAT_ELEM_4X4(b, 1, 1) + \
MAT_ELEM_4X4(a, 3, 2) * MAT_ELEM_4X4(b, 2, 1) + \
MAT_ELEM_4X4(a, 3, 3) * MAT_ELEM_4X4(b, 3, 1); \
MAT_ELEM_4X4(out, 3, 2) = \
MAT_ELEM_4X4(a, 3, 0) * MAT_ELEM_4X4(b, 0, 2) + \
MAT_ELEM_4X4(a, 3, 1) * MAT_ELEM_4X4(b, 1, 2) + \
MAT_ELEM_4X4(a, 3, 2) * MAT_ELEM_4X4(b, 2, 2) + \
MAT_ELEM_4X4(a, 3, 3) * MAT_ELEM_4X4(b, 3, 2); \
MAT_ELEM_4X4(out, 3, 3) = \
MAT_ELEM_4X4(a, 3, 0) * MAT_ELEM_4X4(b, 0, 3) + \
MAT_ELEM_4X4(a, 3, 1) * MAT_ELEM_4X4(b, 1, 3) + \
MAT_ELEM_4X4(a, 3, 2) * MAT_ELEM_4X4(b, 2, 3) + \
MAT_ELEM_4X4(a, 3, 3) * MAT_ELEM_4X4(b, 3, 3)
#define matrix_4x4_scale(mat, x, y, z) \
MAT_ELEM_4X4(mat, 0, 0) = x; \
MAT_ELEM_4X4(mat, 0, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 1) = y; \
MAT_ELEM_4X4(mat, 1, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 2) = z; \
MAT_ELEM_4X4(mat, 2, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 3) = 1.0f
/*
* Builds a translation matrix. All other elements in
* the matrix will be set to zero except for the
* diagonal which is set to 1.0
*/
#define matrix_4x4_translate(mat, x, y, z) \
MAT_ELEM_4X4(mat, 0, 0) = 1.0f; \
MAT_ELEM_4X4(mat, 0, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 3) = x; \
MAT_ELEM_4X4(mat, 1, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 1) = 1.0f; \
MAT_ELEM_4X4(mat, 1, 2) = 1.0f; \
MAT_ELEM_4X4(mat, 1, 3) = y; \
MAT_ELEM_4X4(mat, 2, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 2) = 1.0f; \
MAT_ELEM_4X4(mat, 2, 3) = z; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 3) = 1.0f
/*
* Creates a perspective projection matrix.
*/
#define matrix_4x4_projection(mat, y_fov, aspect, znear, zfar) \
{ \
float const a = 1.f / tan((y_fov) / 2.f); \
float delta_z = (zfar) - (znear); \
MAT_ELEM_4X4(mat, 0, 0) = a / (aspect); \
MAT_ELEM_4X4(mat, 0, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 0, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 1) = a; \
MAT_ELEM_4X4(mat, 1, 2) = 0.0f; \
MAT_ELEM_4X4(mat, 1, 3) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 2, 2) = -(((zfar) + (znear)) / delta_z); \
MAT_ELEM_4X4(mat, 2, 3) = -1.f; \
MAT_ELEM_4X4(mat, 3, 0) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 1) = 0.0f; \
MAT_ELEM_4X4(mat, 3, 2) = -((2.f * (zfar) * (znear)) / delta_z); \
MAT_ELEM_4X4(mat, 3, 3) = 0.0f; \
}
RETRO_END_DECLS
#endif
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