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xash3d-fwgs/r_math.c

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/*
gl_rmath.c - renderer mathlib
Copyright (C) 2010 Uncle Mike
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
*/
#include "r_local.h"
#include "mathlib.h"
/*
========================================================================
Matrix4x4 operations (private to renderer)
========================================================================
*/
void Matrix4x4_Concat( matrix4x4 out, const matrix4x4 in1, const matrix4x4 in2 )
{
out[0][0] = in1[0][0] * in2[0][0] + in1[0][1] * in2[1][0] + in1[0][2] * in2[2][0] + in1[0][3] * in2[3][0];
out[0][1] = in1[0][0] * in2[0][1] + in1[0][1] * in2[1][1] + in1[0][2] * in2[2][1] + in1[0][3] * in2[3][1];
out[0][2] = in1[0][0] * in2[0][2] + in1[0][1] * in2[1][2] + in1[0][2] * in2[2][2] + in1[0][3] * in2[3][2];
out[0][3] = in1[0][0] * in2[0][3] + in1[0][1] * in2[1][3] + in1[0][2] * in2[2][3] + in1[0][3] * in2[3][3];
out[1][0] = in1[1][0] * in2[0][0] + in1[1][1] * in2[1][0] + in1[1][2] * in2[2][0] + in1[1][3] * in2[3][0];
out[1][1] = in1[1][0] * in2[0][1] + in1[1][1] * in2[1][1] + in1[1][2] * in2[2][1] + in1[1][3] * in2[3][1];
out[1][2] = in1[1][0] * in2[0][2] + in1[1][1] * in2[1][2] + in1[1][2] * in2[2][2] + in1[1][3] * in2[3][2];
out[1][3] = in1[1][0] * in2[0][3] + in1[1][1] * in2[1][3] + in1[1][2] * in2[2][3] + in1[1][3] * in2[3][3];
out[2][0] = in1[2][0] * in2[0][0] + in1[2][1] * in2[1][0] + in1[2][2] * in2[2][0] + in1[2][3] * in2[3][0];
out[2][1] = in1[2][0] * in2[0][1] + in1[2][1] * in2[1][1] + in1[2][2] * in2[2][1] + in1[2][3] * in2[3][1];
out[2][2] = in1[2][0] * in2[0][2] + in1[2][1] * in2[1][2] + in1[2][2] * in2[2][2] + in1[2][3] * in2[3][2];
out[2][3] = in1[2][0] * in2[0][3] + in1[2][1] * in2[1][3] + in1[2][2] * in2[2][3] + in1[2][3] * in2[3][3];
out[3][0] = in1[3][0] * in2[0][0] + in1[3][1] * in2[1][0] + in1[3][2] * in2[2][0] + in1[3][3] * in2[3][0];
out[3][1] = in1[3][0] * in2[0][1] + in1[3][1] * in2[1][1] + in1[3][2] * in2[2][1] + in1[3][3] * in2[3][1];
out[3][2] = in1[3][0] * in2[0][2] + in1[3][1] * in2[1][2] + in1[3][2] * in2[2][2] + in1[3][3] * in2[3][2];
out[3][3] = in1[3][0] * in2[0][3] + in1[3][1] * in2[1][3] + in1[3][2] * in2[2][3] + in1[3][3] * in2[3][3];
}
/*
================
Matrix4x4_CreateProjection
NOTE: produce quake style world orientation
================
*/
void Matrix4x4_CreateProjection( matrix4x4 out, float xMax, float xMin, float yMax, float yMin, float zNear, float zFar )
{
out[0][0] = ( 2.0f * zNear ) / ( xMax - xMin );
out[1][1] = ( 2.0f * zNear ) / ( yMax - yMin );
out[2][2] = -( zFar + zNear ) / ( zFar - zNear );
out[3][3] = out[0][1] = out[1][0] = out[3][0] = out[0][3] = out[3][1] = out[1][3] = 0.0f;
out[2][0] = 0.0f;
out[2][1] = 0.0f;
out[0][2] = ( xMax + xMin ) / ( xMax - xMin );
out[1][2] = ( yMax + yMin ) / ( yMax - yMin );
out[3][2] = -1.0f;
out[2][3] = -( 2.0f * zFar * zNear ) / ( zFar - zNear );
}
void Matrix4x4_CreateOrtho( matrix4x4 out, float xLeft, float xRight, float yBottom, float yTop, float zNear, float zFar )
{
out[0][0] = 2.0f / (xRight - xLeft);
out[1][1] = 2.0f / (yTop - yBottom);
out[2][2] = -2.0f / (zFar - zNear);
out[3][3] = 1.0f;
out[0][1] = out[0][2] = out[1][0] = out[1][2] = out[3][0] = out[3][1] = out[3][2] = 0.0f;
out[2][0] = 0.0f;
out[2][1] = 0.0f;
out[0][3] = -(xRight + xLeft) / (xRight - xLeft);
out[1][3] = -(yTop + yBottom) / (yTop - yBottom);
out[2][3] = -(zFar + zNear) / (zFar - zNear);
}
/*
================
Matrix4x4_CreateModelview
NOTE: produce quake style world orientation
================
*/
void Matrix4x4_CreateModelview( matrix4x4 out )
{
out[0][0] = out[1][1] = out[2][2] = 0.0f;
out[3][0] = out[0][3] = 0.0f;
out[3][1] = out[1][3] = 0.0f;
out[3][2] = out[2][3] = 0.0f;
out[3][3] = 1.0f;
out[1][0] = out[0][2] = out[2][1] = 0.0f;
out[2][0] = out[0][1] = -1.0f;
out[1][2] = 1.0f;
}
void Matrix4x4_ToArrayFloatGL( const matrix4x4 in, float out[16] )
{
out[ 0] = in[0][0];
out[ 1] = in[1][0];
out[ 2] = in[2][0];
out[ 3] = in[3][0];
out[ 4] = in[0][1];
out[ 5] = in[1][1];
out[ 6] = in[2][1];
out[ 7] = in[3][1];
out[ 8] = in[0][2];
out[ 9] = in[1][2];
out[10] = in[2][2];
out[11] = in[3][2];
out[12] = in[0][3];
out[13] = in[1][3];
out[14] = in[2][3];
out[15] = in[3][3];
}
void Matrix4x4_FromArrayFloatGL( matrix4x4 out, const float in[16] )
{
out[0][0] = in[0];
out[1][0] = in[1];
out[2][0] = in[2];
out[3][0] = in[3];
out[0][1] = in[4];
out[1][1] = in[5];
out[2][1] = in[6];
out[3][1] = in[7];
out[0][2] = in[8];
out[1][2] = in[9];
out[2][2] = in[10];
out[3][2] = in[11];
out[0][3] = in[12];
out[1][3] = in[13];
out[2][3] = in[14];
out[3][3] = in[15];
}
void Matrix4x4_CreateTranslate( matrix4x4 out, float x, float y, float z )
{
out[0][0] = 1.0f;
out[0][1] = 0.0f;
out[0][2] = 0.0f;
out[0][3] = x;
out[1][0] = 0.0f;
out[1][1] = 1.0f;
out[1][2] = 0.0f;
out[1][3] = y;
out[2][0] = 0.0f;
out[2][1] = 0.0f;
out[2][2] = 1.0f;
out[2][3] = z;
out[3][0] = 0.0f;
out[3][1] = 0.0f;
out[3][2] = 0.0f;
out[3][3] = 1.0f;
}
void Matrix4x4_CreateRotate( matrix4x4 out, float angle, float x, float y, float z )
{
float len, c, s;
len = x * x + y * y + z * z;
if( len != 0.0f ) len = 1.0f / sqrt( len );
x *= len;
y *= len;
z *= len;
angle *= (-M_PI / 180.0f);
SinCos( angle, &s, &c );
out[0][0]=x * x + c * (1 - x * x);
out[0][1]=x * y * (1 - c) + z * s;
out[0][2]=z * x * (1 - c) - y * s;
out[0][3]=0.0f;
out[1][0]=x * y * (1 - c) - z * s;
out[1][1]=y * y + c * (1 - y * y);
out[1][2]=y * z * (1 - c) + x * s;
out[1][3]=0.0f;
out[2][0]=z * x * (1 - c) + y * s;
out[2][1]=y * z * (1 - c) - x * s;
out[2][2]=z * z + c * (1 - z * z);
out[2][3]=0.0f;
out[3][0]=0.0f;
out[3][1]=0.0f;
out[3][2]=0.0f;
out[3][3]=1.0f;
}
void Matrix4x4_CreateScale( matrix4x4 out, float x )
{
out[0][0] = x;
out[0][1] = 0.0f;
out[0][2] = 0.0f;
out[0][3] = 0.0f;
out[1][0] = 0.0f;
out[1][1] = x;
out[1][2] = 0.0f;
out[1][3] = 0.0f;
out[2][0] = 0.0f;
out[2][1] = 0.0f;
out[2][2] = x;
out[2][3] = 0.0f;
out[3][0] = 0.0f;
out[3][1] = 0.0f;
out[3][2] = 0.0f;
out[3][3] = 1.0f;
}
void Matrix4x4_CreateScale3( matrix4x4 out, float x, float y, float z )
{
out[0][0] = x;
out[0][1] = 0.0f;
out[0][2] = 0.0f;
out[0][3] = 0.0f;
out[1][0] = 0.0f;
out[1][1] = y;
out[1][2] = 0.0f;
out[1][3] = 0.0f;
out[2][0] = 0.0f;
out[2][1] = 0.0f;
out[2][2] = z;
out[2][3] = 0.0f;
out[3][0] = 0.0f;
out[3][1] = 0.0f;
out[3][2] = 0.0f;
out[3][3] = 1.0f;
}
void Matrix4x4_ConcatTranslate( matrix4x4 out, float x, float y, float z )
{
matrix4x4 base, temp;
Matrix4x4_Copy( base, out );
Matrix4x4_CreateTranslate( temp, x, y, z );
Matrix4x4_Concat( out, base, temp );
}
void Matrix4x4_ConcatRotate( matrix4x4 out, float angle, float x, float y, float z )
{
matrix4x4 base, temp;
Matrix4x4_Copy( base, out );
Matrix4x4_CreateRotate( temp, angle, x, y, z );
Matrix4x4_Concat( out, base, temp );
}
void Matrix4x4_ConcatScale( matrix4x4 out, float x )
{
matrix4x4 base, temp;
Matrix4x4_Copy( base, out );
Matrix4x4_CreateScale( temp, x );
Matrix4x4_Concat( out, base, temp );
}
void Matrix4x4_ConcatScale3( matrix4x4 out, float x, float y, float z )
{
matrix4x4 base, temp;
Matrix4x4_Copy( base, out );
Matrix4x4_CreateScale3( temp, x, y, z );
Matrix4x4_Concat( out, base, temp );
}
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