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209 lines
6.4 KiB
209 lines
6.4 KiB
/* |
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gl_rmath.c - renderer mathlib |
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Copyright (C) 2010 Uncle Mike |
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This program is free software: you can redistribute it and/or modify |
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it under the terms of the GNU General Public License as published by |
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the Free Software Foundation, either version 3 of the License, or |
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(at your option) any later version. |
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This program is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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GNU General Public License for more details. |
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*/ |
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#include "r_local.h" |
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#include "xash3d_mathlib.h" |
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/* |
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======================================================================== |
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Matrix4x4 operations (private to renderer) |
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======================================================================== |
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*/ |
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void Matrix4x4_Concat( matrix4x4 out, const matrix4x4 in1, const matrix4x4 in2 ) |
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{ |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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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]; |
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} |
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/* |
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================ |
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Matrix4x4_CreateProjection |
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NOTE: produce quake style world orientation |
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================ |
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*/ |
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void Matrix4x4_CreateProjection( matrix4x4 out, float xMax, float xMin, float yMax, float yMin, float zNear, float zFar ) |
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{ |
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out[0][0] = ( 2.0f * zNear ) / ( xMax - xMin ); |
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out[1][1] = ( 2.0f * zNear ) / ( yMax - yMin ); |
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out[2][2] = -( zFar + zNear ) / ( zFar - zNear ); |
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out[3][3] = out[0][1] = out[1][0] = out[3][0] = out[0][3] = out[3][1] = out[1][3] = 0.0f; |
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out[2][0] = 0.0f; |
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out[2][1] = 0.0f; |
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out[0][2] = ( xMax + xMin ) / ( xMax - xMin ); |
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out[1][2] = ( yMax + yMin ) / ( yMax - yMin ); |
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out[3][2] = -1.0f; |
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out[2][3] = -( 2.0f * zFar * zNear ) / ( zFar - zNear ); |
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} |
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void Matrix4x4_CreateOrtho( matrix4x4 out, float xLeft, float xRight, float yBottom, float yTop, float zNear, float zFar ) |
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{ |
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out[0][0] = 2.0f / (xRight - xLeft); |
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out[1][1] = 2.0f / (yTop - yBottom); |
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out[2][2] = -2.0f / (zFar - zNear); |
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out[3][3] = 1.0f; |
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out[0][1] = out[0][2] = out[1][0] = out[1][2] = out[3][0] = out[3][1] = out[3][2] = 0.0f; |
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out[2][0] = 0.0f; |
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out[2][1] = 0.0f; |
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out[0][3] = -(xRight + xLeft) / (xRight - xLeft); |
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out[1][3] = -(yTop + yBottom) / (yTop - yBottom); |
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out[2][3] = -(zFar + zNear) / (zFar - zNear); |
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} |
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/* |
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================ |
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Matrix4x4_CreateModelview |
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NOTE: produce quake style world orientation |
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================ |
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*/ |
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void Matrix4x4_CreateModelview( matrix4x4 out ) |
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{ |
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out[0][0] = out[1][1] = out[2][2] = 0.0f; |
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out[3][0] = out[0][3] = 0.0f; |
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out[3][1] = out[1][3] = 0.0f; |
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out[3][2] = out[2][3] = 0.0f; |
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out[3][3] = 1.0f; |
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out[1][0] = out[0][2] = out[2][1] = 0.0f; |
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out[2][0] = out[0][1] = -1.0f; |
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out[1][2] = 1.0f; |
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} |
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void Matrix4x4_CreateTranslate( matrix4x4 out, float x, float y, float z ) |
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{ |
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out[0][0] = 1.0f; |
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out[0][1] = 0.0f; |
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out[0][2] = 0.0f; |
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out[0][3] = x; |
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out[1][0] = 0.0f; |
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out[1][1] = 1.0f; |
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out[1][2] = 0.0f; |
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out[1][3] = y; |
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out[2][0] = 0.0f; |
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out[2][1] = 0.0f; |
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out[2][2] = 1.0f; |
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out[2][3] = z; |
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out[3][0] = 0.0f; |
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out[3][1] = 0.0f; |
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out[3][2] = 0.0f; |
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out[3][3] = 1.0f; |
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} |
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void Matrix4x4_CreateRotate( matrix4x4 out, float angle, float x, float y, float z ) |
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{ |
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float len, c, s; |
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len = x * x + y * y + z * z; |
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if( len != 0.0f ) len = 1.0f / sqrt( len ); |
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x *= len; |
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y *= len; |
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z *= len; |
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angle *= (-M_PI_F / 180.0f); |
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SinCos( angle, &s, &c ); |
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out[0][0]=x * x + c * (1 - x * x); |
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out[0][1]=x * y * (1 - c) + z * s; |
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out[0][2]=z * x * (1 - c) - y * s; |
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out[0][3]=0.0f; |
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out[1][0]=x * y * (1 - c) - z * s; |
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out[1][1]=y * y + c * (1 - y * y); |
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out[1][2]=y * z * (1 - c) + x * s; |
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out[1][3]=0.0f; |
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out[2][0]=z * x * (1 - c) + y * s; |
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out[2][1]=y * z * (1 - c) - x * s; |
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out[2][2]=z * z + c * (1 - z * z); |
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out[2][3]=0.0f; |
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out[3][0]=0.0f; |
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out[3][1]=0.0f; |
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out[3][2]=0.0f; |
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out[3][3]=1.0f; |
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} |
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static void Matrix4x4_CreateScale( matrix4x4 out, float x ) |
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{ |
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out[0][0] = x; |
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out[0][1] = 0.0f; |
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out[0][2] = 0.0f; |
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out[0][3] = 0.0f; |
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out[1][0] = 0.0f; |
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out[1][1] = x; |
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out[1][2] = 0.0f; |
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out[1][3] = 0.0f; |
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out[2][0] = 0.0f; |
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out[2][1] = 0.0f; |
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out[2][2] = x; |
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out[2][3] = 0.0f; |
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out[3][0] = 0.0f; |
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out[3][1] = 0.0f; |
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out[3][2] = 0.0f; |
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out[3][3] = 1.0f; |
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} |
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static void Matrix4x4_CreateScale3( matrix4x4 out, float x, float y, float z ) |
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{ |
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out[0][0] = x; |
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out[0][1] = 0.0f; |
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out[0][2] = 0.0f; |
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out[0][3] = 0.0f; |
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out[1][0] = 0.0f; |
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out[1][1] = y; |
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out[1][2] = 0.0f; |
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out[1][3] = 0.0f; |
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out[2][0] = 0.0f; |
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out[2][1] = 0.0f; |
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out[2][2] = z; |
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out[2][3] = 0.0f; |
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out[3][0] = 0.0f; |
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out[3][1] = 0.0f; |
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out[3][2] = 0.0f; |
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out[3][3] = 1.0f; |
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} |
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void Matrix4x4_ConcatTranslate( matrix4x4 out, float x, float y, float z ) |
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{ |
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matrix4x4 base, temp; |
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Matrix4x4_Copy( base, out ); |
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Matrix4x4_CreateTranslate( temp, x, y, z ); |
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Matrix4x4_Concat( out, base, temp ); |
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} |
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void Matrix4x4_ConcatRotate( matrix4x4 out, float angle, float x, float y, float z ) |
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{ |
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matrix4x4 base, temp; |
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Matrix4x4_Copy( base, out ); |
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Matrix4x4_CreateRotate( temp, angle, x, y, z ); |
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Matrix4x4_Concat( out, base, temp ); |
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}
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