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#ifndef __khrplatform_h_
#define __khrplatform_h_
/*
** Copyright (c) 2008-2018 The Khronos Group Inc.
**
** Permission is hereby granted, free of charge, to any person obtaining a
** copy of this software and/or associated documentation files (the
** "Materials"), to deal in the Materials without restriction, including
** without limitation the rights to use, copy, modify, merge, publish,
** distribute, sublicense, and/or sell copies of the Materials, and to
** permit persons to whom the Materials are 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 Materials.
**
** THE MATERIALS ARE 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
** MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS.
*/
/* Khronos platform-specific types and definitions.
*
* The master copy of khrplatform.h is maintained in the Khronos EGL
* Registry repository at https://github.com/KhronosGroup/EGL-Registry
* The last semantic modification to khrplatform.h was at commit ID:
* 67a3e0864c2d75ea5287b9f3d2eb74a745936692
*
* Adopters may modify this file to suit their platform. Adopters are
* encouraged to submit platform specific modifications to the Khronos
* group so that they can be included in future versions of this file.
* Please submit changes by filing pull requests or issues on
* the EGL Registry repository linked above.
*
*
* See the Implementer's Guidelines for information about where this file
* should be located on your system and for more details of its use:
* http://www.khronos.org/registry/implementers_guide.pdf
*
* This file should be included as
* #include <KHR/khrplatform.h>
* by Khronos client API header files that use its types and defines.
*
* The types in khrplatform.h should only be used to define API-specific types.
*
* Types defined in khrplatform.h:
* khronos_int8_t signed 8 bit
* khronos_uint8_t unsigned 8 bit
* khronos_int16_t signed 16 bit
* khronos_uint16_t unsigned 16 bit
* khronos_int32_t signed 32 bit
* khronos_uint32_t unsigned 32 bit
* khronos_int64_t signed 64 bit
* khronos_uint64_t unsigned 64 bit
* khronos_intptr_t signed same number of bits as a pointer
* khronos_uintptr_t unsigned same number of bits as a pointer
* khronos_ssize_t signed size
* khronos_usize_t unsigned size
* khronos_float_t signed 32 bit floating point
* khronos_time_ns_t unsigned 64 bit time in nanoseconds
* khronos_utime_nanoseconds_t unsigned time interval or absolute time in
* nanoseconds
* khronos_stime_nanoseconds_t signed time interval in nanoseconds
* khronos_boolean_enum_t enumerated boolean type. This should
* only be used as a base type when a client API's boolean type is
* an enum. Client APIs which use an integer or other type for
* booleans cannot use this as the base type for their boolean.
*
* Tokens defined in khrplatform.h:
*
* KHRONOS_FALSE, KHRONOS_TRUE Enumerated boolean false/true values.
*
* KHRONOS_SUPPORT_INT64 is 1 if 64 bit integers are supported; otherwise 0.
* KHRONOS_SUPPORT_FLOAT is 1 if floats are supported; otherwise 0.
*
* Calling convention macros defined in this file:
* KHRONOS_APICALL
* KHRONOS_APIENTRY
* KHRONOS_APIATTRIBUTES
*
* These may be used in function prototypes as:
*
* KHRONOS_APICALL void KHRONOS_APIENTRY funcname(
* int arg1,
* int arg2) KHRONOS_APIATTRIBUTES;
*/
#if defined(__SCITECH_SNAP__) && !defined(KHRONOS_STATIC)
# define KHRONOS_STATIC 1
#endif
/*-------------------------------------------------------------------------
* Definition of KHRONOS_APICALL
*-------------------------------------------------------------------------
* This precedes the return type of the function in the function prototype.
*/
#if defined(KHRONOS_STATIC)
/* If the preprocessor constant KHRONOS_STATIC is defined, make the
* header compatible with static linking. */
# define KHRONOS_APICALL
#elif defined(_WIN32)
# define KHRONOS_APICALL __declspec(dllimport)
#elif defined (__SYMBIAN32__)
# define KHRONOS_APICALL IMPORT_C
#elif defined(__ANDROID__)
# define KHRONOS_APICALL __attribute__((visibility("default")))
#else
# define KHRONOS_APICALL
#endif
/*-------------------------------------------------------------------------
* Definition of KHRONOS_APIENTRY
*-------------------------------------------------------------------------
* This follows the return type of the function and precedes the function
* name in the function prototype.
*/
#if defined(_WIN32) && !defined(_WIN32_WCE) && !defined(__SCITECH_SNAP__)
/* Win32 but not WinCE */
# define KHRONOS_APIENTRY __stdcall
#else
# define KHRONOS_APIENTRY
#endif
/*-------------------------------------------------------------------------
* Definition of KHRONOS_APIATTRIBUTES
*-------------------------------------------------------------------------
* This follows the closing parenthesis of the function prototype arguments.
*/
#if defined (__ARMCC_2__)
#define KHRONOS_APIATTRIBUTES __softfp
#else
#define KHRONOS_APIATTRIBUTES
#endif
/*-------------------------------------------------------------------------
* basic type definitions
*-----------------------------------------------------------------------*/
#if (defined(__STDC_VERSION__) && __STDC_VERSION__ >= 199901L) || defined(__GNUC__) || defined(__SCO__) || defined(__USLC__)
/*
* Using <stdint.h>
*/
#include <stdint.h>
typedef int32_t khronos_int32_t;
typedef uint32_t khronos_uint32_t;
typedef int64_t khronos_int64_t;
typedef uint64_t khronos_uint64_t;
#define KHRONOS_SUPPORT_INT64 1
#define KHRONOS_SUPPORT_FLOAT 1
#elif defined(__VMS ) || defined(__sgi)
/*
* Using <inttypes.h>
*/
#include <inttypes.h>
typedef int32_t khronos_int32_t;
typedef uint32_t khronos_uint32_t;
typedef int64_t khronos_int64_t;
typedef uint64_t khronos_uint64_t;
#define KHRONOS_SUPPORT_INT64 1
#define KHRONOS_SUPPORT_FLOAT 1
#elif defined(_WIN32) && !defined(__SCITECH_SNAP__)
/*
* Win32
*/
typedef __int32 khronos_int32_t;
typedef unsigned __int32 khronos_uint32_t;
typedef __int64 khronos_int64_t;
typedef unsigned __int64 khronos_uint64_t;
#define KHRONOS_SUPPORT_INT64 1
#define KHRONOS_SUPPORT_FLOAT 1
#elif defined(__sun__) || defined(__digital__)
/*
* Sun or Digital
*/
typedef int khronos_int32_t;
typedef unsigned int khronos_uint32_t;
#if defined(__arch64__) || defined(_LP64)
typedef long int khronos_int64_t;
typedef unsigned long int khronos_uint64_t;
#else
typedef long long int khronos_int64_t;
typedef unsigned long long int khronos_uint64_t;
#endif /* __arch64__ */
#define KHRONOS_SUPPORT_INT64 1
#define KHRONOS_SUPPORT_FLOAT 1
#elif 0
/*
* Hypothetical platform with no float or int64 support
*/
typedef int khronos_int32_t;
typedef unsigned int khronos_uint32_t;
#define KHRONOS_SUPPORT_INT64 0
#define KHRONOS_SUPPORT_FLOAT 0
#else
/*
* Generic fallback
*/
#include <stdint.h>
typedef int32_t khronos_int32_t;
typedef uint32_t khronos_uint32_t;
typedef int64_t khronos_int64_t;
typedef uint64_t khronos_uint64_t;
#define KHRONOS_SUPPORT_INT64 1
#define KHRONOS_SUPPORT_FLOAT 1
#endif
/*
* Types that are (so far) the same on all platforms
*/
typedef signed char khronos_int8_t;
typedef unsigned char khronos_uint8_t;
typedef signed short int khronos_int16_t;
typedef unsigned short int khronos_uint16_t;
/*
* Types that differ between LLP64 and LP64 architectures - in LLP64,
* pointers are 64 bits, but 'long' is still 32 bits. Win64 appears
* to be the only LLP64 architecture in current use.
*/
#ifdef _WIN64
typedef signed long long int khronos_intptr_t;
typedef unsigned long long int khronos_uintptr_t;
typedef signed long long int khronos_ssize_t;
typedef unsigned long long int khronos_usize_t;
#else
typedef signed long int khronos_intptr_t;
typedef unsigned long int khronos_uintptr_t;
typedef signed long int khronos_ssize_t;
typedef unsigned long int khronos_usize_t;
#endif
#if KHRONOS_SUPPORT_FLOAT
/*
* Float type
*/
typedef float khronos_float_t;
#endif
#if KHRONOS_SUPPORT_INT64
/* Time types
*
* These types can be used to represent a time interval in nanoseconds or
* an absolute Unadjusted System Time. Unadjusted System Time is the number
* of nanoseconds since some arbitrary system event (e.g. since the last
* time the system booted). The Unadjusted System Time is an unsigned
* 64 bit value that wraps back to 0 every 584 years. Time intervals
* may be either signed or unsigned.
*/
typedef khronos_uint64_t khronos_utime_nanoseconds_t;
typedef khronos_int64_t khronos_stime_nanoseconds_t;
#endif
/*
* Dummy value used to pad enum types to 32 bits.
*/
#ifndef KHRONOS_MAX_ENUM
#define KHRONOS_MAX_ENUM 0x7FFFFFFF
#endif
/*
* Enumerated boolean type
*
* Values other than zero should be considered to be true. Therefore
* comparisons should not be made against KHRONOS_TRUE.
*/
typedef enum {
KHRONOS_FALSE = 0,
KHRONOS_TRUE = 1,
KHRONOS_BOOLEAN_ENUM_FORCE_SIZE = KHRONOS_MAX_ENUM
} khronos_boolean_enum_t;
#endif /* __khrplatform_h_ */

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#ifndef LINMATH_H
#define LINMATH_H
#include <string.h>
#include <math.h>
#include <string.h>
#ifdef LINMATH_NO_INLINE
#define LINMATH_H_FUNC static
#else
#define LINMATH_H_FUNC static inline
#endif
#define LINMATH_H_DEFINE_VEC(n) \
typedef float vec##n[n]; \
LINMATH_H_FUNC void vec##n##_add(vec##n r, vec##n const a, vec##n const b) \
{ \
int i; \
for(i=0; i<n; ++i) \
r[i] = a[i] + b[i]; \
} \
LINMATH_H_FUNC void vec##n##_sub(vec##n r, vec##n const a, vec##n const b) \
{ \
int i; \
for(i=0; i<n; ++i) \
r[i] = a[i] - b[i]; \
} \
LINMATH_H_FUNC void vec##n##_scale(vec##n r, vec##n const v, float const s) \
{ \
int i; \
for(i=0; i<n; ++i) \
r[i] = v[i] * s; \
} \
LINMATH_H_FUNC float vec##n##_mul_inner(vec##n const a, vec##n const b) \
{ \
float p = 0.f; \
int i; \
for(i=0; i<n; ++i) \
p += b[i]*a[i]; \
return p; \
} \
LINMATH_H_FUNC float vec##n##_len(vec##n const v) \
{ \
return sqrtf(vec##n##_mul_inner(v,v)); \
} \
LINMATH_H_FUNC void vec##n##_norm(vec##n r, vec##n const v) \
{ \
float k = 1.f / vec##n##_len(v); \
vec##n##_scale(r, v, k); \
} \
LINMATH_H_FUNC void vec##n##_min(vec##n r, vec##n const a, vec##n const b) \
{ \
int i; \
for(i=0; i<n; ++i) \
r[i] = a[i]<b[i] ? a[i] : b[i]; \
} \
LINMATH_H_FUNC void vec##n##_max(vec##n r, vec##n const a, vec##n const b) \
{ \
int i; \
for(i=0; i<n; ++i) \
r[i] = a[i]>b[i] ? a[i] : b[i]; \
} \
LINMATH_H_FUNC void vec##n##_dup(vec##n r, vec##n const src) \
{ \
int i; \
for(i=0; i<n; ++i) \
r[i] = src[i]; \
}
LINMATH_H_DEFINE_VEC(2)
LINMATH_H_DEFINE_VEC(3)
LINMATH_H_DEFINE_VEC(4)
LINMATH_H_FUNC void vec3_mul_cross(vec3 r, vec3 const a, vec3 const b)
{
r[0] = a[1]*b[2] - a[2]*b[1];
r[1] = a[2]*b[0] - a[0]*b[2];
r[2] = a[0]*b[1] - a[1]*b[0];
}
LINMATH_H_FUNC void vec3_reflect(vec3 r, vec3 const v, vec3 const n)
{
float p = 2.f * vec3_mul_inner(v, n);
int i;
for(i=0;i<3;++i)
r[i] = v[i] - p*n[i];
}
LINMATH_H_FUNC void vec4_mul_cross(vec4 r, vec4 const a, vec4 const b)
{
r[0] = a[1]*b[2] - a[2]*b[1];
r[1] = a[2]*b[0] - a[0]*b[2];
r[2] = a[0]*b[1] - a[1]*b[0];
r[3] = 1.f;
}
LINMATH_H_FUNC void vec4_reflect(vec4 r, vec4 const v, vec4 const n)
{
float p = 2.f*vec4_mul_inner(v, n);
int i;
for(i=0;i<4;++i)
r[i] = v[i] - p*n[i];
}
typedef vec4 mat4x4[4];
LINMATH_H_FUNC void mat4x4_identity(mat4x4 M)
{
int i, j;
for(i=0; i<4; ++i)
for(j=0; j<4; ++j)
M[i][j] = i==j ? 1.f : 0.f;
}
LINMATH_H_FUNC void mat4x4_dup(mat4x4 M, mat4x4 const N)
{
int i;
for(i=0; i<4; ++i)
vec4_dup(M[i], N[i]);
}
LINMATH_H_FUNC void mat4x4_row(vec4 r, mat4x4 const M, int i)
{
int k;
for(k=0; k<4; ++k)
r[k] = M[k][i];
}
LINMATH_H_FUNC void mat4x4_col(vec4 r, mat4x4 const M, int i)
{
int k;
for(k=0; k<4; ++k)
r[k] = M[i][k];
}
LINMATH_H_FUNC void mat4x4_transpose(mat4x4 M, mat4x4 const N)
{
// Note: if M and N are the same, the user has to
// explicitly make a copy of M and set it to N.
int i, j;
for(j=0; j<4; ++j)
for(i=0; i<4; ++i)
M[i][j] = N[j][i];
}
LINMATH_H_FUNC void mat4x4_add(mat4x4 M, mat4x4 const a, mat4x4 const b)
{
int i;
for(i=0; i<4; ++i)
vec4_add(M[i], a[i], b[i]);
}
LINMATH_H_FUNC void mat4x4_sub(mat4x4 M, mat4x4 const a, mat4x4 const b)
{
int i;
for(i=0; i<4; ++i)
vec4_sub(M[i], a[i], b[i]);
}
LINMATH_H_FUNC void mat4x4_scale(mat4x4 M, mat4x4 const a, float k)
{
int i;
for(i=0; i<4; ++i)
vec4_scale(M[i], a[i], k);
}
LINMATH_H_FUNC void mat4x4_scale_aniso(mat4x4 M, mat4x4 const a, float x, float y, float z)
{
vec4_scale(M[0], a[0], x);
vec4_scale(M[1], a[1], y);
vec4_scale(M[2], a[2], z);
vec4_dup(M[3], a[3]);
}
LINMATH_H_FUNC void mat4x4_mul(mat4x4 M, mat4x4 const a, mat4x4 const b)
{
mat4x4 temp;
int k, r, c;
for(c=0; c<4; ++c) for(r=0; r<4; ++r) {
temp[c][r] = 0.f;
for(k=0; k<4; ++k)
temp[c][r] += a[k][r] * b[c][k];
}
mat4x4_dup(M, temp);
}
LINMATH_H_FUNC void mat4x4_mul_vec4(vec4 r, mat4x4 const M, vec4 const v)
{
int i, j;
for(j=0; j<4; ++j) {
r[j] = 0.f;
for(i=0; i<4; ++i)
r[j] += M[i][j] * v[i];
}
}
LINMATH_H_FUNC void mat4x4_translate(mat4x4 T, float x, float y, float z)
{
mat4x4_identity(T);
T[3][0] = x;
T[3][1] = y;
T[3][2] = z;
}
LINMATH_H_FUNC void mat4x4_translate_in_place(mat4x4 M, float x, float y, float z)
{
vec4 t = {x, y, z, 0};
vec4 r;
int i;
for (i = 0; i < 4; ++i) {
mat4x4_row(r, M, i);
M[3][i] += vec4_mul_inner(r, t);
}
}
LINMATH_H_FUNC void mat4x4_from_vec3_mul_outer(mat4x4 M, vec3 const a, vec3 const b)
{
int i, j;
for(i=0; i<4; ++i) for(j=0; j<4; ++j)
M[i][j] = i<3 && j<3 ? a[i] * b[j] : 0.f;
}
LINMATH_H_FUNC void mat4x4_rotate(mat4x4 R, mat4x4 const M, float x, float y, float z, float angle)
{
float s = sinf(angle);
float c = cosf(angle);
vec3 u = {x, y, z};
if(vec3_len(u) > 1e-4) {
vec3_norm(u, u);
mat4x4 T;
mat4x4_from_vec3_mul_outer(T, u, u);
mat4x4 S = {
{ 0, u[2], -u[1], 0},
{-u[2], 0, u[0], 0},
{ u[1], -u[0], 0, 0},
{ 0, 0, 0, 0}
};
mat4x4_scale(S, S, s);
mat4x4 C;
mat4x4_identity(C);
mat4x4_sub(C, C, T);
mat4x4_scale(C, C, c);
mat4x4_add(T, T, C);
mat4x4_add(T, T, S);
T[3][3] = 1.f;
mat4x4_mul(R, M, T);
} else {
mat4x4_dup(R, M);
}
}
LINMATH_H_FUNC void mat4x4_rotate_X(mat4x4 Q, mat4x4 const M, float angle)
{
float s = sinf(angle);
float c = cosf(angle);
mat4x4 R = {
{1.f, 0.f, 0.f, 0.f},
{0.f, c, s, 0.f},
{0.f, -s, c, 0.f},
{0.f, 0.f, 0.f, 1.f}
};
mat4x4_mul(Q, M, R);
}
LINMATH_H_FUNC void mat4x4_rotate_Y(mat4x4 Q, mat4x4 const M, float angle)
{
float s = sinf(angle);
float c = cosf(angle);
mat4x4 R = {
{ c, 0.f, -s, 0.f},
{ 0.f, 1.f, 0.f, 0.f},
{ s, 0.f, c, 0.f},
{ 0.f, 0.f, 0.f, 1.f}
};
mat4x4_mul(Q, M, R);
}
LINMATH_H_FUNC void mat4x4_rotate_Z(mat4x4 Q, mat4x4 const M, float angle)
{
float s = sinf(angle);
float c = cosf(angle);
mat4x4 R = {
{ c, s, 0.f, 0.f},
{ -s, c, 0.f, 0.f},
{ 0.f, 0.f, 1.f, 0.f},
{ 0.f, 0.f, 0.f, 1.f}
};
mat4x4_mul(Q, M, R);
}
LINMATH_H_FUNC void mat4x4_invert(mat4x4 T, mat4x4 const M)
{
float s[6];
float c[6];
s[0] = M[0][0]*M[1][1] - M[1][0]*M[0][1];
s[1] = M[0][0]*M[1][2] - M[1][0]*M[0][2];
s[2] = M[0][0]*M[1][3] - M[1][0]*M[0][3];
s[3] = M[0][1]*M[1][2] - M[1][1]*M[0][2];
s[4] = M[0][1]*M[1][3] - M[1][1]*M[0][3];
s[5] = M[0][2]*M[1][3] - M[1][2]*M[0][3];
c[0] = M[2][0]*M[3][1] - M[3][0]*M[2][1];
c[1] = M[2][0]*M[3][2] - M[3][0]*M[2][2];
c[2] = M[2][0]*M[3][3] - M[3][0]*M[2][3];
c[3] = M[2][1]*M[3][2] - M[3][1]*M[2][2];
c[4] = M[2][1]*M[3][3] - M[3][1]*M[2][3];
c[5] = M[2][2]*M[3][3] - M[3][2]*M[2][3];
/* Assumes it is invertible */
float idet = 1.0f/( s[0]*c[5]-s[1]*c[4]+s[2]*c[3]+s[3]*c[2]-s[4]*c[1]+s[5]*c[0] );
T[0][0] = ( M[1][1] * c[5] - M[1][2] * c[4] + M[1][3] * c[3]) * idet;
T[0][1] = (-M[0][1] * c[5] + M[0][2] * c[4] - M[0][3] * c[3]) * idet;
T[0][2] = ( M[3][1] * s[5] - M[3][2] * s[4] + M[3][3] * s[3]) * idet;
T[0][3] = (-M[2][1] * s[5] + M[2][2] * s[4] - M[2][3] * s[3]) * idet;
T[1][0] = (-M[1][0] * c[5] + M[1][2] * c[2] - M[1][3] * c[1]) * idet;
T[1][1] = ( M[0][0] * c[5] - M[0][2] * c[2] + M[0][3] * c[1]) * idet;
T[1][2] = (-M[3][0] * s[5] + M[3][2] * s[2] - M[3][3] * s[1]) * idet;
T[1][3] = ( M[2][0] * s[5] - M[2][2] * s[2] + M[2][3] * s[1]) * idet;
T[2][0] = ( M[1][0] * c[4] - M[1][1] * c[2] + M[1][3] * c[0]) * idet;
T[2][1] = (-M[0][0] * c[4] + M[0][1] * c[2] - M[0][3] * c[0]) * idet;
T[2][2] = ( M[3][0] * s[4] - M[3][1] * s[2] + M[3][3] * s[0]) * idet;
T[2][3] = (-M[2][0] * s[4] + M[2][1] * s[2] - M[2][3] * s[0]) * idet;
T[3][0] = (-M[1][0] * c[3] + M[1][1] * c[1] - M[1][2] * c[0]) * idet;
T[3][1] = ( M[0][0] * c[3] - M[0][1] * c[1] + M[0][2] * c[0]) * idet;
T[3][2] = (-M[3][0] * s[3] + M[3][1] * s[1] - M[3][2] * s[0]) * idet;
T[3][3] = ( M[2][0] * s[3] - M[2][1] * s[1] + M[2][2] * s[0]) * idet;
}
LINMATH_H_FUNC void mat4x4_orthonormalize(mat4x4 R, mat4x4 const M)
{
mat4x4_dup(R, M);
float s = 1.f;
vec3 h;
vec3_norm(R[2], R[2]);
s = vec3_mul_inner(R[1], R[2]);
vec3_scale(h, R[2], s);
vec3_sub(R[1], R[1], h);
vec3_norm(R[1], R[1]);
s = vec3_mul_inner(R[0], R[2]);
vec3_scale(h, R[2], s);
vec3_sub(R[0], R[0], h);
s = vec3_mul_inner(R[0], R[1]);
vec3_scale(h, R[1], s);
vec3_sub(R[0], R[0], h);
vec3_norm(R[0], R[0]);
}
LINMATH_H_FUNC void mat4x4_frustum(mat4x4 M, float l, float r, float b, float t, float n, float f)
{
M[0][0] = 2.f*n/(r-l);
M[0][1] = M[0][2] = M[0][3] = 0.f;
M[1][1] = 2.f*n/(t-b);
M[1][0] = M[1][2] = M[1][3] = 0.f;
M[2][0] = (r+l)/(r-l);
M[2][1] = (t+b)/(t-b);
M[2][2] = -(f+n)/(f-n);
M[2][3] = -1.f;
M[3][2] = -2.f*(f*n)/(f-n);
M[3][0] = M[3][1] = M[3][3] = 0.f;
}
LINMATH_H_FUNC void mat4x4_ortho(mat4x4 M, float l, float r, float b, float t, float n, float f)
{
M[0][0] = 2.f/(r-l);
M[0][1] = M[0][2] = M[0][3] = 0.f;
M[1][1] = 2.f/(t-b);
M[1][0] = M[1][2] = M[1][3] = 0.f;
M[2][2] = -2.f/(f-n);
M[2][0] = M[2][1] = M[2][3] = 0.f;
M[3][0] = -(r+l)/(r-l);
M[3][1] = -(t+b)/(t-b);
M[3][2] = -(f+n)/(f-n);
M[3][3] = 1.f;
}
LINMATH_H_FUNC void mat4x4_perspective(mat4x4 m, float y_fov, float aspect, float n, float f)
{
/* NOTE: Degrees are an unhandy unit to work with.
* linmath.h uses radians for everything! */
float const a = 1.f / tanf(y_fov / 2.f);
m[0][0] = a / aspect;
m[0][1] = 0.f;
m[0][2] = 0.f;
m[0][3] = 0.f;
m[1][0] = 0.f;
m[1][1] = a;
m[1][2] = 0.f;
m[1][3] = 0.f;
m[2][0] = 0.f;
m[2][1] = 0.f;
m[2][2] = -((f + n) / (f - n));
m[2][3] = -1.f;
m[3][0] = 0.f;
m[3][1] = 0.f;
m[3][2] = -((2.f * f * n) / (f - n));
m[3][3] = 0.f;
}
LINMATH_H_FUNC void mat4x4_look_at(mat4x4 m, vec3 const eye, vec3 const center, vec3 const up)
{
/* Adapted from Android's OpenGL Matrix.java. */
/* See the OpenGL GLUT documentation for gluLookAt for a description */
/* of the algorithm. We implement it in a straightforward way: */
/* TODO: The negation of of can be spared by swapping the order of
* operands in the following cross products in the right way. */
vec3 f;
vec3_sub(f, center, eye);
vec3_norm(f, f);
vec3 s;
vec3_mul_cross(s, f, up);
vec3_norm(s, s);
vec3 t;
vec3_mul_cross(t, s, f);
m[0][0] = s[0];
m[0][1] = t[0];
m[0][2] = -f[0];
m[0][3] = 0.f;
m[1][0] = s[1];
m[1][1] = t[1];
m[1][2] = -f[1];
m[1][3] = 0.f;
m[2][0] = s[2];
m[2][1] = t[2];
m[2][2] = -f[2];
m[2][3] = 0.f;
m[3][0] = 0.f;
m[3][1] = 0.f;
m[3][2] = 0.f;
m[3][3] = 1.f;
mat4x4_translate_in_place(m, -eye[0], -eye[1], -eye[2]);
}
typedef float quat[4];
#define quat_add vec4_add
#define quat_sub vec4_sub
#define quat_norm vec4_norm
#define quat_scale vec4_scale
#define quat_mul_inner vec4_mul_inner
LINMATH_H_FUNC void quat_identity(quat q)
{
q[0] = q[1] = q[2] = 0.f;
q[3] = 1.f;
}
LINMATH_H_FUNC void quat_mul(quat r, quat const p, quat const q)
{
vec3 w;
vec3_mul_cross(r, p, q);
vec3_scale(w, p, q[3]);
vec3_add(r, r, w);
vec3_scale(w, q, p[3]);
vec3_add(r, r, w);
r[3] = p[3]*q[3] - vec3_mul_inner(p, q);
}
LINMATH_H_FUNC void quat_conj(quat r, quat const q)
{
int i;
for(i=0; i<3; ++i)
r[i] = -q[i];
r[3] = q[3];
}
LINMATH_H_FUNC void quat_rotate(quat r, float angle, vec3 const axis) {
vec3 axis_norm;
vec3_norm(axis_norm, axis);
float s = sinf(angle / 2);
float c = cosf(angle / 2);
vec3_scale(r, axis_norm, s);
r[3] = c;
}
LINMATH_H_FUNC void quat_mul_vec3(vec3 r, quat const q, vec3 const v)
{
/*
* Method by Fabian 'ryg' Giessen (of Farbrausch)
t = 2 * cross(q.xyz, v)
v' = v + q.w * t + cross(q.xyz, t)
*/
vec3 t;
vec3 q_xyz = {q[0], q[1], q[2]};
vec3 u = {q[0], q[1], q[2]};
vec3_mul_cross(t, q_xyz, v);
vec3_scale(t, t, 2);
vec3_mul_cross(u, q_xyz, t);
vec3_scale(t, t, q[3]);
vec3_add(r, v, t);
vec3_add(r, r, u);
}
LINMATH_H_FUNC void mat4x4_from_quat(mat4x4 M, quat const q)
{
float a = q[3];
float b = q[0];
float c = q[1];
float d = q[2];
float a2 = a*a;
float b2 = b*b;
float c2 = c*c;
float d2 = d*d;
M[0][0] = a2 + b2 - c2 - d2;
M[0][1] = 2.f*(b*c + a*d);
M[0][2] = 2.f*(b*d - a*c);
M[0][3] = 0.f;
M[1][0] = 2*(b*c - a*d);
M[1][1] = a2 - b2 + c2 - d2;
M[1][2] = 2.f*(c*d + a*b);
M[1][3] = 0.f;
M[2][0] = 2.f*(b*d + a*c);
M[2][1] = 2.f*(c*d - a*b);
M[2][2] = a2 - b2 - c2 + d2;
M[2][3] = 0.f;
M[3][0] = M[3][1] = M[3][2] = 0.f;
M[3][3] = 1.f;
}
LINMATH_H_FUNC void mat4x4o_mul_quat(mat4x4 R, mat4x4 const M, quat const q)
{
/* XXX: The way this is written only works for orthogonal matrices. */
/* TODO: Take care of non-orthogonal case. */
quat_mul_vec3(R[0], q, M[0]);
quat_mul_vec3(R[1], q, M[1]);
quat_mul_vec3(R[2], q, M[2]);
R[3][0] = R[3][1] = R[3][2] = 0.f;
R[0][3] = M[0][3];
R[1][3] = M[1][3];
R[2][3] = M[2][3];
R[3][3] = M[3][3]; // typically 1.0, but here we make it general
}
LINMATH_H_FUNC void quat_from_mat4x4(quat q, mat4x4 const M)
{
float r=0.f;
int i;
int perm[] = { 0, 1, 2, 0, 1 };
int *p = perm;
for(i = 0; i<3; i++) {
float m = M[i][i];
if( m < r )
continue;
m = r;
p = &perm[i];
}
r = sqrtf(1.f + M[p[0]][p[0]] - M[p[1]][p[1]] - M[p[2]][p[2]] );
if(r < 1e-6) {
q[0] = 1.f;
q[1] = q[2] = q[3] = 0.f;
return;
}
q[0] = r/2.f;
q[1] = (M[p[0]][p[1]] - M[p[1]][p[0]])/(2.f*r);
q[2] = (M[p[2]][p[0]] - M[p[0]][p[2]])/(2.f*r);
q[3] = (M[p[2]][p[1]] - M[p[1]][p[2]])/(2.f*r);
}
LINMATH_H_FUNC void mat4x4_arcball(mat4x4 R, mat4x4 const M, vec2 const _a, vec2 const _b, float s)
{
vec2 a; memcpy(a, _a, sizeof(a));
vec2 b; memcpy(b, _b, sizeof(b));
float z_a = 0.;
float z_b = 0.;
if(vec2_len(a) < 1.) {
z_a = sqrtf(1. - vec2_mul_inner(a, a));
} else {
vec2_norm(a, a);
}
if(vec2_len(b) < 1.) {
z_b = sqrtf(1. - vec2_mul_inner(b, b));
} else {
vec2_norm(b, b);
}
vec3 a_ = {a[0], a[1], z_a};
vec3 b_ = {b[0], b[1], z_b};
vec3 c_;
vec3_mul_cross(c_, a_, b_);
float const angle = acos(vec3_mul_inner(a_, b_)) * s;
mat4x4_rotate(R, M, c_[0], c_[1], c_[2], angle);
}
#endif

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