diff options
Diffstat (limited to 'extern/bullet2/BulletCollision/Gimpact/gim_linear_math.h')
| -rw-r--r-- | extern/bullet2/BulletCollision/Gimpact/gim_linear_math.h | 1573 |
1 files changed, 0 insertions, 1573 deletions
diff --git a/extern/bullet2/BulletCollision/Gimpact/gim_linear_math.h b/extern/bullet2/BulletCollision/Gimpact/gim_linear_math.h deleted file mode 100644 index 0247d4e61cc..00000000000 --- a/extern/bullet2/BulletCollision/Gimpact/gim_linear_math.h +++ /dev/null @@ -1,1573 +0,0 @@ -#ifndef GIM_LINEAR_H_INCLUDED -#define GIM_LINEAR_H_INCLUDED - -/*! \file gim_linear_math.h -*\author Francisco Len Nßjera -Type Independant Vector and matrix operations. -*/ -/* ------------------------------------------------------------------------------ -This source file is part of GIMPACT Library. - -For the latest info, see http://gimpact.sourceforge.net/ - -Copyright (c) 2006 Francisco Leon Najera. C.C. 80087371. -email: projectileman@yahoo.com - - This library is free software; you can redistribute it and/or - modify it under the terms of EITHER: - (1) The GNU Lesser General Public License as published by the Free - Software Foundation; either version 2.1 of the License, or (at - your option) any later version. The text of the GNU Lesser - General Public License is included with this library in the - file GIMPACT-LICENSE-LGPL.TXT. - (2) The BSD-style license that is included with this library in - the file GIMPACT-LICENSE-BSD.TXT. - (3) The zlib/libpng license that is included with this library in - the file GIMPACT-LICENSE-ZLIB.TXT. - - This library 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 files - GIMPACT-LICENSE-LGPL.TXT, GIMPACT-LICENSE-ZLIB.TXT and GIMPACT-LICENSE-BSD.TXT for more details. - ------------------------------------------------------------------------------ -*/ - - -#include "gim_math.h" -#include "gim_geom_types.h" - - - - -//! Zero out a 2D vector -#define VEC_ZERO_2(a) \ -{ \ - (a)[0] = (a)[1] = 0.0f; \ -}\ - - -//! Zero out a 3D vector -#define VEC_ZERO(a) \ -{ \ - (a)[0] = (a)[1] = (a)[2] = 0.0f; \ -}\ - - -/// Zero out a 4D vector -#define VEC_ZERO_4(a) \ -{ \ - (a)[0] = (a)[1] = (a)[2] = (a)[3] = 0.0f; \ -}\ - - -/// Vector copy -#define VEC_COPY_2(b,a) \ -{ \ - (b)[0] = (a)[0]; \ - (b)[1] = (a)[1]; \ -}\ - - -/// Copy 3D vector -#define VEC_COPY(b,a) \ -{ \ - (b)[0] = (a)[0]; \ - (b)[1] = (a)[1]; \ - (b)[2] = (a)[2]; \ -}\ - - -/// Copy 4D vector -#define VEC_COPY_4(b,a) \ -{ \ - (b)[0] = (a)[0]; \ - (b)[1] = (a)[1]; \ - (b)[2] = (a)[2]; \ - (b)[3] = (a)[3]; \ -}\ - -/// VECTOR SWAP -#define VEC_SWAP(b,a) \ -{ \ - GIM_SWAP_NUMBERS((b)[0],(a)[0]);\ - GIM_SWAP_NUMBERS((b)[1],(a)[1]);\ - GIM_SWAP_NUMBERS((b)[2],(a)[2]);\ -}\ - -/// Vector difference -#define VEC_DIFF_2(v21,v2,v1) \ -{ \ - (v21)[0] = (v2)[0] - (v1)[0]; \ - (v21)[1] = (v2)[1] - (v1)[1]; \ -}\ - - -/// Vector difference -#define VEC_DIFF(v21,v2,v1) \ -{ \ - (v21)[0] = (v2)[0] - (v1)[0]; \ - (v21)[1] = (v2)[1] - (v1)[1]; \ - (v21)[2] = (v2)[2] - (v1)[2]; \ -}\ - - -/// Vector difference -#define VEC_DIFF_4(v21,v2,v1) \ -{ \ - (v21)[0] = (v2)[0] - (v1)[0]; \ - (v21)[1] = (v2)[1] - (v1)[1]; \ - (v21)[2] = (v2)[2] - (v1)[2]; \ - (v21)[3] = (v2)[3] - (v1)[3]; \ -}\ - - -/// Vector sum -#define VEC_SUM_2(v21,v2,v1) \ -{ \ - (v21)[0] = (v2)[0] + (v1)[0]; \ - (v21)[1] = (v2)[1] + (v1)[1]; \ -}\ - - -/// Vector sum -#define VEC_SUM(v21,v2,v1) \ -{ \ - (v21)[0] = (v2)[0] + (v1)[0]; \ - (v21)[1] = (v2)[1] + (v1)[1]; \ - (v21)[2] = (v2)[2] + (v1)[2]; \ -}\ - - -/// Vector sum -#define VEC_SUM_4(v21,v2,v1) \ -{ \ - (v21)[0] = (v2)[0] + (v1)[0]; \ - (v21)[1] = (v2)[1] + (v1)[1]; \ - (v21)[2] = (v2)[2] + (v1)[2]; \ - (v21)[3] = (v2)[3] + (v1)[3]; \ -}\ - - -/// scalar times vector -#define VEC_SCALE_2(c,a,b) \ -{ \ - (c)[0] = (a)*(b)[0]; \ - (c)[1] = (a)*(b)[1]; \ -}\ - - -/// scalar times vector -#define VEC_SCALE(c,a,b) \ -{ \ - (c)[0] = (a)*(b)[0]; \ - (c)[1] = (a)*(b)[1]; \ - (c)[2] = (a)*(b)[2]; \ -}\ - - -/// scalar times vector -#define VEC_SCALE_4(c,a,b) \ -{ \ - (c)[0] = (a)*(b)[0]; \ - (c)[1] = (a)*(b)[1]; \ - (c)[2] = (a)*(b)[2]; \ - (c)[3] = (a)*(b)[3]; \ -}\ - - -/// accumulate scaled vector -#define VEC_ACCUM_2(c,a,b) \ -{ \ - (c)[0] += (a)*(b)[0]; \ - (c)[1] += (a)*(b)[1]; \ -}\ - - -/// accumulate scaled vector -#define VEC_ACCUM(c,a,b) \ -{ \ - (c)[0] += (a)*(b)[0]; \ - (c)[1] += (a)*(b)[1]; \ - (c)[2] += (a)*(b)[2]; \ -}\ - - -/// accumulate scaled vector -#define VEC_ACCUM_4(c,a,b) \ -{ \ - (c)[0] += (a)*(b)[0]; \ - (c)[1] += (a)*(b)[1]; \ - (c)[2] += (a)*(b)[2]; \ - (c)[3] += (a)*(b)[3]; \ -}\ - - -/// Vector dot product -#define VEC_DOT_2(a,b) ((a)[0]*(b)[0] + (a)[1]*(b)[1]) - - -/// Vector dot product -#define VEC_DOT(a,b) ((a)[0]*(b)[0] + (a)[1]*(b)[1] + (a)[2]*(b)[2]) - -/// Vector dot product -#define VEC_DOT_4(a,b) ((a)[0]*(b)[0] + (a)[1]*(b)[1] + (a)[2]*(b)[2] + (a)[3]*(b)[3]) - -/// vector impact parameter (squared) -#define VEC_IMPACT_SQ(bsq,direction,position) {\ - GREAL _llel_ = VEC_DOT(direction, position);\ - bsq = VEC_DOT(position, position) - _llel_*_llel_;\ -}\ - - -/// vector impact parameter -#define VEC_IMPACT(bsq,direction,position) {\ - VEC_IMPACT_SQ(bsq,direction,position); \ - GIM_SQRT(bsq,bsq); \ -}\ - -/// Vector length -#define VEC_LENGTH_2(a,l)\ -{\ - GREAL _pp = VEC_DOT_2(a,a);\ - GIM_SQRT(_pp,l);\ -}\ - - -/// Vector length -#define VEC_LENGTH(a,l)\ -{\ - GREAL _pp = VEC_DOT(a,a);\ - GIM_SQRT(_pp,l);\ -}\ - - -/// Vector length -#define VEC_LENGTH_4(a,l)\ -{\ - GREAL _pp = VEC_DOT_4(a,a);\ - GIM_SQRT(_pp,l);\ -}\ - -/// Vector inv length -#define VEC_INV_LENGTH_2(a,l)\ -{\ - GREAL _pp = VEC_DOT_2(a,a);\ - GIM_INV_SQRT(_pp,l);\ -}\ - - -/// Vector inv length -#define VEC_INV_LENGTH(a,l)\ -{\ - GREAL _pp = VEC_DOT(a,a);\ - GIM_INV_SQRT(_pp,l);\ -}\ - - -/// Vector inv length -#define VEC_INV_LENGTH_4(a,l)\ -{\ - GREAL _pp = VEC_DOT_4(a,a);\ - GIM_INV_SQRT(_pp,l);\ -}\ - - - -/// distance between two points -#define VEC_DISTANCE(_len,_va,_vb) {\ - vec3f _tmp_; \ - VEC_DIFF(_tmp_, _vb, _va); \ - VEC_LENGTH(_tmp_,_len); \ -}\ - - -/// Vector length -#define VEC_CONJUGATE_LENGTH(a,l)\ -{\ - GREAL _pp = 1.0 - a[0]*a[0] - a[1]*a[1] - a[2]*a[2];\ - GIM_SQRT(_pp,l);\ -}\ - - -/// Vector length -#define VEC_NORMALIZE(a) { \ - GREAL len;\ - VEC_INV_LENGTH(a,len); \ - if(len<G_REAL_INFINITY)\ - {\ - a[0] *= len; \ - a[1] *= len; \ - a[2] *= len; \ - } \ -}\ - -/// Set Vector size -#define VEC_RENORMALIZE(a,newlen) { \ - GREAL len;\ - VEC_INV_LENGTH(a,len); \ - if(len<G_REAL_INFINITY)\ - {\ - len *= newlen;\ - a[0] *= len; \ - a[1] *= len; \ - a[2] *= len; \ - } \ -}\ - -/// Vector cross -#define VEC_CROSS(c,a,b) \ -{ \ - c[0] = (a)[1] * (b)[2] - (a)[2] * (b)[1]; \ - c[1] = (a)[2] * (b)[0] - (a)[0] * (b)[2]; \ - c[2] = (a)[0] * (b)[1] - (a)[1] * (b)[0]; \ -}\ - - -/*! Vector perp -- assumes that n is of unit length - * accepts vector v, subtracts out any component parallel to n */ -#define VEC_PERPENDICULAR(vp,v,n) \ -{ \ - GREAL dot = VEC_DOT(v, n); \ - vp[0] = (v)[0] - dot*(n)[0]; \ - vp[1] = (v)[1] - dot*(n)[1]; \ - vp[2] = (v)[2] - dot*(n)[2]; \ -}\ - - -/*! Vector parallel -- assumes that n is of unit length */ -#define VEC_PARALLEL(vp,v,n) \ -{ \ - GREAL dot = VEC_DOT(v, n); \ - vp[0] = (dot) * (n)[0]; \ - vp[1] = (dot) * (n)[1]; \ - vp[2] = (dot) * (n)[2]; \ -}\ - -/*! Same as Vector parallel -- n can have any length - * accepts vector v, subtracts out any component perpendicular to n */ -#define VEC_PROJECT(vp,v,n) \ -{ \ - GREAL scalar = VEC_DOT(v, n); \ - scalar/= VEC_DOT(n, n); \ - vp[0] = (scalar) * (n)[0]; \ - vp[1] = (scalar) * (n)[1]; \ - vp[2] = (scalar) * (n)[2]; \ -}\ - - -/*! accepts vector v*/ -#define VEC_UNPROJECT(vp,v,n) \ -{ \ - GREAL scalar = VEC_DOT(v, n); \ - scalar = VEC_DOT(n, n)/scalar; \ - vp[0] = (scalar) * (n)[0]; \ - vp[1] = (scalar) * (n)[1]; \ - vp[2] = (scalar) * (n)[2]; \ -}\ - - -/*! Vector reflection -- assumes n is of unit length - Takes vector v, reflects it against reflector n, and returns vr */ -#define VEC_REFLECT(vr,v,n) \ -{ \ - GREAL dot = VEC_DOT(v, n); \ - vr[0] = (v)[0] - 2.0 * (dot) * (n)[0]; \ - vr[1] = (v)[1] - 2.0 * (dot) * (n)[1]; \ - vr[2] = (v)[2] - 2.0 * (dot) * (n)[2]; \ -}\ - - -/*! Vector blending -Takes two vectors a, b, blends them together with two scalars */ -#define VEC_BLEND_AB(vr,sa,a,sb,b) \ -{ \ - vr[0] = (sa) * (a)[0] + (sb) * (b)[0]; \ - vr[1] = (sa) * (a)[1] + (sb) * (b)[1]; \ - vr[2] = (sa) * (a)[2] + (sb) * (b)[2]; \ -}\ - -/*! Vector blending -Takes two vectors a, b, blends them together with s <=1 */ -#define VEC_BLEND(vr,a,b,s) VEC_BLEND_AB(vr,(1-s),a,s,b) - -#define VEC_SET3(a,b,op,c) a[0]=b[0] op c[0]; a[1]=b[1] op c[1]; a[2]=b[2] op c[2]; - -//! Finds the bigger cartesian coordinate from a vector -#define VEC_MAYOR_COORD(vec, maxc)\ -{\ - GREAL A[] = {fabs(vec[0]),fabs(vec[1]),fabs(vec[2])};\ - maxc = A[0]>A[1]?(A[0]>A[2]?0:2):(A[1]>A[2]?1:2);\ -}\ - -//! Finds the 2 smallest cartesian coordinates from a vector -#define VEC_MINOR_AXES(vec, i0, i1)\ -{\ - VEC_MAYOR_COORD(vec,i0);\ - i0 = (i0+1)%3;\ - i1 = (i0+1)%3;\ -}\ - - - - -#define VEC_EQUAL(v1,v2) (v1[0]==v2[0]&&v1[1]==v2[1]&&v1[2]==v2[2]) - -#define VEC_NEAR_EQUAL(v1,v2) (GIM_NEAR_EQUAL(v1[0],v2[0])&&GIM_NEAR_EQUAL(v1[1],v2[1])&&GIM_NEAR_EQUAL(v1[2],v2[2])) - - -/// Vector cross -#define X_AXIS_CROSS_VEC(dst,src)\ -{ \ - dst[0] = 0.0f; \ - dst[1] = -src[2]; \ - dst[2] = src[1]; \ -}\ - -#define Y_AXIS_CROSS_VEC(dst,src)\ -{ \ - dst[0] = src[2]; \ - dst[1] = 0.0f; \ - dst[2] = -src[0]; \ -}\ - -#define Z_AXIS_CROSS_VEC(dst,src)\ -{ \ - dst[0] = -src[1]; \ - dst[1] = src[0]; \ - dst[2] = 0.0f; \ -}\ - - - - - - -/// initialize matrix -#define IDENTIFY_MATRIX_3X3(m) \ -{ \ - m[0][0] = 1.0; \ - m[0][1] = 0.0; \ - m[0][2] = 0.0; \ - \ - m[1][0] = 0.0; \ - m[1][1] = 1.0; \ - m[1][2] = 0.0; \ - \ - m[2][0] = 0.0; \ - m[2][1] = 0.0; \ - m[2][2] = 1.0; \ -}\ - -/*! initialize matrix */ -#define IDENTIFY_MATRIX_4X4(m) \ -{ \ - m[0][0] = 1.0; \ - m[0][1] = 0.0; \ - m[0][2] = 0.0; \ - m[0][3] = 0.0; \ - \ - m[1][0] = 0.0; \ - m[1][1] = 1.0; \ - m[1][2] = 0.0; \ - m[1][3] = 0.0; \ - \ - m[2][0] = 0.0; \ - m[2][1] = 0.0; \ - m[2][2] = 1.0; \ - m[2][3] = 0.0; \ - \ - m[3][0] = 0.0; \ - m[3][1] = 0.0; \ - m[3][2] = 0.0; \ - m[3][3] = 1.0; \ -}\ - -/*! initialize matrix */ -#define ZERO_MATRIX_4X4(m) \ -{ \ - m[0][0] = 0.0; \ - m[0][1] = 0.0; \ - m[0][2] = 0.0; \ - m[0][3] = 0.0; \ - \ - m[1][0] = 0.0; \ - m[1][1] = 0.0; \ - m[1][2] = 0.0; \ - m[1][3] = 0.0; \ - \ - m[2][0] = 0.0; \ - m[2][1] = 0.0; \ - m[2][2] = 0.0; \ - m[2][3] = 0.0; \ - \ - m[3][0] = 0.0; \ - m[3][1] = 0.0; \ - m[3][2] = 0.0; \ - m[3][3] = 0.0; \ -}\ - -/*! matrix rotation X */ -#define ROTX_CS(m,cosine,sine) \ -{ \ - /* rotation about the x-axis */ \ - \ - m[0][0] = 1.0; \ - m[0][1] = 0.0; \ - m[0][2] = 0.0; \ - m[0][3] = 0.0; \ - \ - m[1][0] = 0.0; \ - m[1][1] = (cosine); \ - m[1][2] = (sine); \ - m[1][3] = 0.0; \ - \ - m[2][0] = 0.0; \ - m[2][1] = -(sine); \ - m[2][2] = (cosine); \ - m[2][3] = 0.0; \ - \ - m[3][0] = 0.0; \ - m[3][1] = 0.0; \ - m[3][2] = 0.0; \ - m[3][3] = 1.0; \ -}\ - -/*! matrix rotation Y */ -#define ROTY_CS(m,cosine,sine) \ -{ \ - /* rotation about the y-axis */ \ - \ - m[0][0] = (cosine); \ - m[0][1] = 0.0; \ - m[0][2] = -(sine); \ - m[0][3] = 0.0; \ - \ - m[1][0] = 0.0; \ - m[1][1] = 1.0; \ - m[1][2] = 0.0; \ - m[1][3] = 0.0; \ - \ - m[2][0] = (sine); \ - m[2][1] = 0.0; \ - m[2][2] = (cosine); \ - m[2][3] = 0.0; \ - \ - m[3][0] = 0.0; \ - m[3][1] = 0.0; \ - m[3][2] = 0.0; \ - m[3][3] = 1.0; \ -}\ - -/*! matrix rotation Z */ -#define ROTZ_CS(m,cosine,sine) \ -{ \ - /* rotation about the z-axis */ \ - \ - m[0][0] = (cosine); \ - m[0][1] = (sine); \ - m[0][2] = 0.0; \ - m[0][3] = 0.0; \ - \ - m[1][0] = -(sine); \ - m[1][1] = (cosine); \ - m[1][2] = 0.0; \ - m[1][3] = 0.0; \ - \ - m[2][0] = 0.0; \ - m[2][1] = 0.0; \ - m[2][2] = 1.0; \ - m[2][3] = 0.0; \ - \ - m[3][0] = 0.0; \ - m[3][1] = 0.0; \ - m[3][2] = 0.0; \ - m[3][3] = 1.0; \ -}\ - -/*! matrix copy */ -#define COPY_MATRIX_2X2(b,a) \ -{ \ - b[0][0] = a[0][0]; \ - b[0][1] = a[0][1]; \ - \ - b[1][0] = a[1][0]; \ - b[1][1] = a[1][1]; \ - \ -}\ - - -/*! matrix copy */ -#define COPY_MATRIX_2X3(b,a) \ -{ \ - b[0][0] = a[0][0]; \ - b[0][1] = a[0][1]; \ - b[0][2] = a[0][2]; \ - \ - b[1][0] = a[1][0]; \ - b[1][1] = a[1][1]; \ - b[1][2] = a[1][2]; \ -}\ - - -/*! matrix copy */ -#define COPY_MATRIX_3X3(b,a) \ -{ \ - b[0][0] = a[0][0]; \ - b[0][1] = a[0][1]; \ - b[0][2] = a[0][2]; \ - \ - b[1][0] = a[1][0]; \ - b[1][1] = a[1][1]; \ - b[1][2] = a[1][2]; \ - \ - b[2][0] = a[2][0]; \ - b[2][1] = a[2][1]; \ - b[2][2] = a[2][2]; \ -}\ - - -/*! matrix copy */ -#define COPY_MATRIX_4X4(b,a) \ -{ \ - b[0][0] = a[0][0]; \ - b[0][1] = a[0][1]; \ - b[0][2] = a[0][2]; \ - b[0][3] = a[0][3]; \ - \ - b[1][0] = a[1][0]; \ - b[1][1] = a[1][1]; \ - b[1][2] = a[1][2]; \ - b[1][3] = a[1][3]; \ - \ - b[2][0] = a[2][0]; \ - b[2][1] = a[2][1]; \ - b[2][2] = a[2][2]; \ - b[2][3] = a[2][3]; \ - \ - b[3][0] = a[3][0]; \ - b[3][1] = a[3][1]; \ - b[3][2] = a[3][2]; \ - b[3][3] = a[3][3]; \ -}\ - - -/*! matrix transpose */ -#define TRANSPOSE_MATRIX_2X2(b,a) \ -{ \ - b[0][0] = a[0][0]; \ - b[0][1] = a[1][0]; \ - \ - b[1][0] = a[0][1]; \ - b[1][1] = a[1][1]; \ -}\ - - -/*! matrix transpose */ -#define TRANSPOSE_MATRIX_3X3(b,a) \ -{ \ - b[0][0] = a[0][0]; \ - b[0][1] = a[1][0]; \ - b[0][2] = a[2][0]; \ - \ - b[1][0] = a[0][1]; \ - b[1][1] = a[1][1]; \ - b[1][2] = a[2][1]; \ - \ - b[2][0] = a[0][2]; \ - b[2][1] = a[1][2]; \ - b[2][2] = a[2][2]; \ -}\ - - -/*! matrix transpose */ -#define TRANSPOSE_MATRIX_4X4(b,a) \ -{ \ - b[0][0] = a[0][0]; \ - b[0][1] = a[1][0]; \ - b[0][2] = a[2][0]; \ - b[0][3] = a[3][0]; \ - \ - b[1][0] = a[0][1]; \ - b[1][1] = a[1][1]; \ - b[1][2] = a[2][1]; \ - b[1][3] = a[3][1]; \ - \ - b[2][0] = a[0][2]; \ - b[2][1] = a[1][2]; \ - b[2][2] = a[2][2]; \ - b[2][3] = a[3][2]; \ - \ - b[3][0] = a[0][3]; \ - b[3][1] = a[1][3]; \ - b[3][2] = a[2][3]; \ - b[3][3] = a[3][3]; \ -}\ - - -/*! multiply matrix by scalar */ -#define SCALE_MATRIX_2X2(b,s,a) \ -{ \ - b[0][0] = (s) * a[0][0]; \ - b[0][1] = (s) * a[0][1]; \ - \ - b[1][0] = (s) * a[1][0]; \ - b[1][1] = (s) * a[1][1]; \ -}\ - - -/*! multiply matrix by scalar */ -#define SCALE_MATRIX_3X3(b,s,a) \ -{ \ - b[0][0] = (s) * a[0][0]; \ - b[0][1] = (s) * a[0][1]; \ - b[0][2] = (s) * a[0][2]; \ - \ - b[1][0] = (s) * a[1][0]; \ - b[1][1] = (s) * a[1][1]; \ - b[1][2] = (s) * a[1][2]; \ - \ - b[2][0] = (s) * a[2][0]; \ - b[2][1] = (s) * a[2][1]; \ - b[2][2] = (s) * a[2][2]; \ -}\ - - -/*! multiply matrix by scalar */ -#define SCALE_MATRIX_4X4(b,s,a) \ -{ \ - b[0][0] = (s) * a[0][0]; \ - b[0][1] = (s) * a[0][1]; \ - b[0][2] = (s) * a[0][2]; \ - b[0][3] = (s) * a[0][3]; \ - \ - b[1][0] = (s) * a[1][0]; \ - b[1][1] = (s) * a[1][1]; \ - b[1][2] = (s) * a[1][2]; \ - b[1][3] = (s) * a[1][3]; \ - \ - b[2][0] = (s) * a[2][0]; \ - b[2][1] = (s) * a[2][1]; \ - b[2][2] = (s) * a[2][2]; \ - b[2][3] = (s) * a[2][3]; \ - \ - b[3][0] = s * a[3][0]; \ - b[3][1] = s * a[3][1]; \ - b[3][2] = s * a[3][2]; \ - b[3][3] = s * a[3][3]; \ -}\ - - -/*! multiply matrix by scalar */ -#define SCALE_VEC_MATRIX_2X2(b,svec,a) \ -{ \ - b[0][0] = svec[0] * a[0][0]; \ - b[1][0] = svec[0] * a[1][0]; \ - \ - b[0][1] = svec[1] * a[0][1]; \ - b[1][1] = svec[1] * a[1][1]; \ -}\ - - -/*! multiply matrix by scalar. Each columns is scaled by each scalar vector component */ -#define SCALE_VEC_MATRIX_3X3(b,svec,a) \ -{ \ - b[0][0] = svec[0] * a[0][0]; \ - b[1][0] = svec[0] * a[1][0]; \ - b[2][0] = svec[0] * a[2][0]; \ - \ - b[0][1] = svec[1] * a[0][1]; \ - b[1][1] = svec[1] * a[1][1]; \ - b[2][1] = svec[1] * a[2][1]; \ - \ - b[0][2] = svec[2] * a[0][2]; \ - b[1][2] = svec[2] * a[1][2]; \ - b[2][2] = svec[2] * a[2][2]; \ -}\ - - -/*! multiply matrix by scalar */ -#define SCALE_VEC_MATRIX_4X4(b,svec,a) \ -{ \ - b[0][0] = svec[0] * a[0][0]; \ - b[1][0] = svec[0] * a[1][0]; \ - b[2][0] = svec[0] * a[2][0]; \ - b[3][0] = svec[0] * a[3][0]; \ - \ - b[0][1] = svec[1] * a[0][1]; \ - b[1][1] = svec[1] * a[1][1]; \ - b[2][1] = svec[1] * a[2][1]; \ - b[3][1] = svec[1] * a[3][1]; \ - \ - b[0][2] = svec[2] * a[0][2]; \ - b[1][2] = svec[2] * a[1][2]; \ - b[2][2] = svec[2] * a[2][2]; \ - b[3][2] = svec[2] * a[3][2]; \ - \ - b[0][3] = svec[3] * a[0][3]; \ - b[1][3] = svec[3] * a[1][3]; \ - b[2][3] = svec[3] * a[2][3]; \ - b[3][3] = svec[3] * a[3][3]; \ -}\ - - -/*! multiply matrix by scalar */ -#define ACCUM_SCALE_MATRIX_2X2(b,s,a) \ -{ \ - b[0][0] += (s) * a[0][0]; \ - b[0][1] += (s) * a[0][1]; \ - \ - b[1][0] += (s) * a[1][0]; \ - b[1][1] += (s) * a[1][1]; \ -}\ - - -/*! multiply matrix by scalar */ -#define ACCUM_SCALE_MATRIX_3X3(b,s,a) \ -{ \ - b[0][0] += (s) * a[0][0]; \ - b[0][1] += (s) * a[0][1]; \ - b[0][2] += (s) * a[0][2]; \ - \ - b[1][0] += (s) * a[1][0]; \ - b[1][1] += (s) * a[1][1]; \ - b[1][2] += (s) * a[1][2]; \ - \ - b[2][0] += (s) * a[2][0]; \ - b[2][1] += (s) * a[2][1]; \ - b[2][2] += (s) * a[2][2]; \ -}\ - - -/*! multiply matrix by scalar */ -#define ACCUM_SCALE_MATRIX_4X4(b,s,a) \ -{ \ - b[0][0] += (s) * a[0][0]; \ - b[0][1] += (s) * a[0][1]; \ - b[0][2] += (s) * a[0][2]; \ - b[0][3] += (s) * a[0][3]; \ - \ - b[1][0] += (s) * a[1][0]; \ - b[1][1] += (s) * a[1][1]; \ - b[1][2] += (s) * a[1][2]; \ - b[1][3] += (s) * a[1][3]; \ - \ - b[2][0] += (s) * a[2][0]; \ - b[2][1] += (s) * a[2][1]; \ - b[2][2] += (s) * a[2][2]; \ - b[2][3] += (s) * a[2][3]; \ - \ - b[3][0] += (s) * a[3][0]; \ - b[3][1] += (s) * a[3][1]; \ - b[3][2] += (s) * a[3][2]; \ - b[3][3] += (s) * a[3][3]; \ -}\ - -/*! matrix product */ -/*! c[x][y] = a[x][0]*b[0][y]+a[x][1]*b[1][y]+a[x][2]*b[2][y]+a[x][3]*b[3][y];*/ -#define MATRIX_PRODUCT_2X2(c,a,b) \ -{ \ - c[0][0] = a[0][0]*b[0][0]+a[0][1]*b[1][0]; \ - c[0][1] = a[0][0]*b[0][1]+a[0][1]*b[1][1]; \ - \ - c[1][0] = a[1][0]*b[0][0]+a[1][1]*b[1][0]; \ - c[1][1] = a[1][0]*b[0][1]+a[1][1]*b[1][1]; \ - \ -}\ - -/*! matrix product */ -/*! c[x][y] = a[x][0]*b[0][y]+a[x][1]*b[1][y]+a[x][2]*b[2][y]+a[x][3]*b[3][y];*/ -#define MATRIX_PRODUCT_3X3(c,a,b) \ -{ \ - c[0][0] = a[0][0]*b[0][0]+a[0][1]*b[1][0]+a[0][2]*b[2][0]; \ - c[0][1] = a[0][0]*b[0][1]+a[0][1]*b[1][1]+a[0][2]*b[2][1]; \ - c[0][2] = a[0][0]*b[0][2]+a[0][1]*b[1][2]+a[0][2]*b[2][2]; \ - \ - c[1][0] = a[1][0]*b[0][0]+a[1][1]*b[1][0]+a[1][2]*b[2][0]; \ - c[1][1] = a[1][0]*b[0][1]+a[1][1]*b[1][1]+a[1][2]*b[2][1]; \ - c[1][2] = a[1][0]*b[0][2]+a[1][1]*b[1][2]+a[1][2]*b[2][2]; \ - \ - c[2][0] = a[2][0]*b[0][0]+a[2][1]*b[1][0]+a[2][2]*b[2][0]; \ - c[2][1] = a[2][0]*b[0][1]+a[2][1]*b[1][1]+a[2][2]*b[2][1]; \ - c[2][2] = a[2][0]*b[0][2]+a[2][1]*b[1][2]+a[2][2]*b[2][2]; \ -}\ - - -/*! matrix product */ -/*! c[x][y] = a[x][0]*b[0][y]+a[x][1]*b[1][y]+a[x][2]*b[2][y]+a[x][3]*b[3][y];*/ -#define MATRIX_PRODUCT_4X4(c,a,b) \ -{ \ - c[0][0] = a[0][0]*b[0][0]+a[0][1]*b[1][0]+a[0][2]*b[2][0]+a[0][3]*b[3][0];\ - c[0][1] = a[0][0]*b[0][1]+a[0][1]*b[1][1]+a[0][2]*b[2][1]+a[0][3]*b[3][1];\ - c[0][2] = a[0][0]*b[0][2]+a[0][1]*b[1][2]+a[0][2]*b[2][2]+a[0][3]*b[3][2];\ - c[0][3] = a[0][0]*b[0][3]+a[0][1]*b[1][3]+a[0][2]*b[2][3]+a[0][3]*b[3][3];\ - \ - c[1][0] = a[1][0]*b[0][0]+a[1][1]*b[1][0]+a[1][2]*b[2][0]+a[1][3]*b[3][0];\ - c[1][1] = a[1][0]*b[0][1]+a[1][1]*b[1][1]+a[1][2]*b[2][1]+a[1][3]*b[3][1];\ - c[1][2] = a[1][0]*b[0][2]+a[1][1]*b[1][2]+a[1][2]*b[2][2]+a[1][3]*b[3][2];\ - c[1][3] = a[1][0]*b[0][3]+a[1][1]*b[1][3]+a[1][2]*b[2][3]+a[1][3]*b[3][3];\ - \ - c[2][0] = a[2][0]*b[0][0]+a[2][1]*b[1][0]+a[2][2]*b[2][0]+a[2][3]*b[3][0];\ - c[2][1] = a[2][0]*b[0][1]+a[2][1]*b[1][1]+a[2][2]*b[2][1]+a[2][3]*b[3][1];\ - c[2][2] = a[2][0]*b[0][2]+a[2][1]*b[1][2]+a[2][2]*b[2][2]+a[2][3]*b[3][2];\ - c[2][3] = a[2][0]*b[0][3]+a[2][1]*b[1][3]+a[2][2]*b[2][3]+a[2][3]*b[3][3];\ - \ - c[3][0] = a[3][0]*b[0][0]+a[3][1]*b[1][0]+a[3][2]*b[2][0]+a[3][3]*b[3][0];\ - c[3][1] = a[3][0]*b[0][1]+a[3][1]*b[1][1]+a[3][2]*b[2][1]+a[3][3]*b[3][1];\ - c[3][2] = a[3][0]*b[0][2]+a[3][1]*b[1][2]+a[3][2]*b[2][2]+a[3][3]*b[3][2];\ - c[3][3] = a[3][0]*b[0][3]+a[3][1]*b[1][3]+a[3][2]*b[2][3]+a[3][3]*b[3][3];\ -}\ - - -/*! matrix times vector */ -#define MAT_DOT_VEC_2X2(p,m,v) \ -{ \ - p[0] = m[0][0]*v[0] + m[0][1]*v[1]; \ - p[1] = m[1][0]*v[0] + m[1][1]*v[1]; \ -}\ - - -/*! matrix times vector */ -#define MAT_DOT_VEC_3X3(p,m,v) \ -{ \ - p[0] = m[0][0]*v[0] + m[0][1]*v[1] + m[0][2]*v[2]; \ - p[1] = m[1][0]*v[0] + m[1][1]*v[1] + m[1][2]*v[2]; \ - p[2] = m[2][0]*v[0] + m[2][1]*v[1] + m[2][2]*v[2]; \ -}\ - - -/*! matrix times vector -v is a vec4f -*/ -#define MAT_DOT_VEC_4X4(p,m,v) \ -{ \ - p[0] = m[0][0]*v[0] + m[0][1]*v[1] + m[0][2]*v[2] + m[0][3]*v[3]; \ - p[1] = m[1][0]*v[0] + m[1][1]*v[1] + m[1][2]*v[2] + m[1][3]*v[3]; \ - p[2] = m[2][0]*v[0] + m[2][1]*v[1] + m[2][2]*v[2] + m[2][3]*v[3]; \ - p[3] = m[3][0]*v[0] + m[3][1]*v[1] + m[3][2]*v[2] + m[3][3]*v[3]; \ -}\ - -/*! matrix times vector -v is a vec3f -and m is a mat4f<br> -Last column is added as the position -*/ -#define MAT_DOT_VEC_3X4(p,m,v) \ -{ \ - p[0] = m[0][0]*v[0] + m[0][1]*v[1] + m[0][2]*v[2] + m[0][3]; \ - p[1] = m[1][0]*v[0] + m[1][1]*v[1] + m[1][2]*v[2] + m[1][3]; \ - p[2] = m[2][0]*v[0] + m[2][1]*v[1] + m[2][2]*v[2] + m[2][3]; \ -}\ - - -/*! vector transpose times matrix */ -/*! p[j] = v[0]*m[0][j] + v[1]*m[1][j] + v[2]*m[2][j]; */ -#define VEC_DOT_MAT_3X3(p,v,m) \ -{ \ - p[0] = v[0]*m[0][0] + v[1]*m[1][0] + v[2]*m[2][0]; \ - p[1] = v[0]*m[0][1] + v[1]*m[1][1] + v[2]*m[2][1]; \ - p[2] = v[0]*m[0][2] + v[1]*m[1][2] + v[2]*m[2][2]; \ -}\ - - -/*! affine matrix times vector */ -/** The matrix is assumed to be an affine matrix, with last two - * entries representing a translation */ -#define MAT_DOT_VEC_2X3(p,m,v) \ -{ \ - p[0] = m[0][0]*v[0] + m[0][1]*v[1] + m[0][2]; \ - p[1] = m[1][0]*v[0] + m[1][1]*v[1] + m[1][2]; \ -}\ - -//! Transform a plane -#define MAT_TRANSFORM_PLANE_4X4(pout,m,plane)\ -{ \ - pout[0] = m[0][0]*plane[0] + m[0][1]*plane[1] + m[0][2]*plane[2];\ - pout[1] = m[1][0]*plane[0] + m[1][1]*plane[1] + m[1][2]*plane[2];\ - pout[2] = m[2][0]*plane[0] + m[2][1]*plane[1] + m[2][2]*plane[2];\ - pout[3] = m[0][3]*pout[0] + m[1][3]*pout[1] + m[2][3]*pout[2] + plane[3];\ -}\ - - - -/** inverse transpose of matrix times vector - * - * This macro computes inverse transpose of matrix m, - * and multiplies vector v into it, to yeild vector p - * - * DANGER !!! Do Not use this on normal vectors!!! - * It will leave normals the wrong length !!! - * See macro below for use on normals. - */ -#define INV_TRANSP_MAT_DOT_VEC_2X2(p,m,v) \ -{ \ - GREAL det; \ - \ - det = m[0][0]*m[1][1] - m[0][1]*m[1][0]; \ - p[0] = m[1][1]*v[0] - m[1][0]*v[1]; \ - p[1] = - m[0][1]*v[0] + m[0][0]*v[1]; \ - \ - /* if matrix not singular, and not orthonormal, then renormalize */ \ - if ((det!=1.0f) && (det != 0.0f)) { \ - det = 1.0f / det; \ - p[0] *= det; \ - p[1] *= det; \ - } \ -}\ - - -/** transform normal vector by inverse transpose of matrix - * and then renormalize the vector - * - * This macro computes inverse transpose of matrix m, - * and multiplies vector v into it, to yeild vector p - * Vector p is then normalized. - */ -#define NORM_XFORM_2X2(p,m,v) \ -{ \ - GREAL len; \ - \ - /* do nothing if off-diagonals are zero and diagonals are \ - * equal */ \ - if ((m[0][1] != 0.0) || (m[1][0] != 0.0) || (m[0][0] != m[1][1])) { \ - p[0] = m[1][1]*v[0] - m[1][0]*v[1]; \ - p[1] = - m[0][1]*v[0] + m[0][0]*v[1]; \ - \ - len = p[0]*p[0] + p[1]*p[1]; \ - GIM_INV_SQRT(len,len); \ - p[0] *= len; \ - p[1] *= len; \ - } else { \ - VEC_COPY_2 (p, v); \ - } \ -}\ - - -/** outer product of vector times vector transpose - * - * The outer product of vector v and vector transpose t yeilds - * dyadic matrix m. - */ -#define OUTER_PRODUCT_2X2(m,v,t) \ -{ \ - m[0][0] = v[0] * t[0]; \ - m[0][1] = v[0] * t[1]; \ - \ - m[1][0] = v[1] * t[0]; \ - m[1][1] = v[1] * t[1]; \ -}\ - - -/** outer product of vector times vector transpose - * - * The outer product of vector v and vector transpose t yeilds - * dyadic matrix m. - */ -#define OUTER_PRODUCT_3X3(m,v,t) \ -{ \ - m[0][0] = v[0] * t[0]; \ - m[0][1] = v[0] * t[1]; \ - m[0][2] = v[0] * t[2]; \ - \ - m[1][0] = v[1] * t[0]; \ - m[1][1] = v[1] * t[1]; \ - m[1][2] = v[1] * t[2]; \ - \ - m[2][0] = v[2] * t[0]; \ - m[2][1] = v[2] * t[1]; \ - m[2][2] = v[2] * t[2]; \ -}\ - - -/** outer product of vector times vector transpose - * - * The outer product of vector v and vector transpose t yeilds - * dyadic matrix m. - */ -#define OUTER_PRODUCT_4X4(m,v,t) \ -{ \ - m[0][0] = v[0] * t[0]; \ - m[0][1] = v[0] * t[1]; \ - m[0][2] = v[0] * t[2]; \ - m[0][3] = v[0] * t[3]; \ - \ - m[1][0] = v[1] * t[0]; \ - m[1][1] = v[1] * t[1]; \ - m[1][2] = v[1] * t[2]; \ - m[1][3] = v[1] * t[3]; \ - \ - m[2][0] = v[2] * t[0]; \ - m[2][1] = v[2] * t[1]; \ - m[2][2] = v[2] * t[2]; \ - m[2][3] = v[2] * t[3]; \ - \ - m[3][0] = v[3] * t[0]; \ - m[3][1] = v[3] * t[1]; \ - m[3][2] = v[3] * t[2]; \ - m[3][3] = v[3] * t[3]; \ -}\ - - -/** outer product of vector times vector transpose - * - * The outer product of vector v and vector transpose t yeilds - * dyadic matrix m. - */ -#define ACCUM_OUTER_PRODUCT_2X2(m,v,t) \ -{ \ - m[0][0] += v[0] * t[0]; \ - m[0][1] += v[0] * t[1]; \ - \ - m[1][0] += v[1] * t[0]; \ - m[1][1] += v[1] * t[1]; \ -}\ - - -/** outer product of vector times vector transpose - * - * The outer product of vector v and vector transpose t yeilds - * dyadic matrix m. - */ -#define ACCUM_OUTER_PRODUCT_3X3(m,v,t) \ -{ \ - m[0][0] += v[0] * t[0]; \ - m[0][1] += v[0] * t[1]; \ - m[0][2] += v[0] * t[2]; \ - \ - m[1][0] += v[1] * t[0]; \ - m[1][1] += v[1] * t[1]; \ - m[1][2] += v[1] * t[2]; \ - \ - m[2][0] += v[2] * t[0]; \ - m[2][1] += v[2] * t[1]; \ - m[2][2] += v[2] * t[2]; \ -}\ - - -/** outer product of vector times vector transpose - * - * The outer product of vector v and vector transpose t yeilds - * dyadic matrix m. - */ -#define ACCUM_OUTER_PRODUCT_4X4(m,v,t) \ -{ \ - m[0][0] += v[0] * t[0]; \ - m[0][1] += v[0] * t[1]; \ - m[0][2] += v[0] * t[2]; \ - m[0][3] += v[0] * t[3]; \ - \ - m[1][0] += v[1] * t[0]; \ - m[1][1] += v[1] * t[1]; \ - m[1][2] += v[1] * t[2]; \ - m[1][3] += v[1] * t[3]; \ - \ - m[2][0] += v[2] * t[0]; \ - m[2][1] += v[2] * t[1]; \ - m[2][2] += v[2] * t[2]; \ - m[2][3] += v[2] * t[3]; \ - \ - m[3][0] += v[3] * t[0]; \ - m[3][1] += v[3] * t[1]; \ - m[3][2] += v[3] * t[2]; \ - m[3][3] += v[3] * t[3]; \ -}\ - - -/** determinant of matrix - * - * Computes determinant of matrix m, returning d - */ -#define DETERMINANT_2X2(d,m) \ -{ \ - d = m[0][0] * m[1][1] - m[0][1] * m[1][0]; \ -}\ - - -/** determinant of matrix - * - * Computes determinant of matrix m, returning d - */ -#define DETERMINANT_3X3(d,m) \ -{ \ - d = m[0][0] * (m[1][1]*m[2][2] - m[1][2] * m[2][1]); \ - d -= m[0][1] * (m[1][0]*m[2][2] - m[1][2] * m[2][0]); \ - d += m[0][2] * (m[1][0]*m[2][1] - m[1][1] * m[2][0]); \ -}\ - - -/** i,j,th cofactor of a 4x4 matrix - * - */ -#define COFACTOR_4X4_IJ(fac,m,i,j) \ -{ \ - GUINT __ii[4], __jj[4], __k; \ - \ - for (__k=0; __k<i; __k++) __ii[__k] = __k; \ - for (__k=i; __k<3; __k++) __ii[__k] = __k+1; \ - for (__k=0; __k<j; __k++) __jj[__k] = __k; \ - for (__k=j; __k<3; __k++) __jj[__k] = __k+1; \ - \ - (fac) = m[__ii[0]][__jj[0]] * (m[__ii[1]][__jj[1]]*m[__ii[2]][__jj[2]] \ - - m[__ii[1]][__jj[2]]*m[__ii[2]][__jj[1]]); \ - (fac) -= m[__ii[0]][__jj[1]] * (m[__ii[1]][__jj[0]]*m[__ii[2]][__jj[2]] \ - - m[__ii[1]][__jj[2]]*m[__ii[2]][__jj[0]]);\ - (fac) += m[__ii[0]][__jj[2]] * (m[__ii[1]][__jj[0]]*m[__ii[2]][__jj[1]] \ - - m[__ii[1]][__jj[1]]*m[__ii[2]][__jj[0]]);\ - \ - __k = i+j; \ - if ( __k != (__k/2)*2) { \ - (fac) = -(fac); \ - } \ -}\ - - -/** determinant of matrix - * - * Computes determinant of matrix m, returning d - */ -#define DETERMINANT_4X4(d,m) \ -{ \ - GREAL cofac; \ - COFACTOR_4X4_IJ (cofac, m, 0, 0); \ - d = m[0][0] * cofac; \ - COFACTOR_4X4_IJ (cofac, m, 0, 1); \ - d += m[0][1] * cofac; \ - COFACTOR_4X4_IJ (cofac, m, 0, 2); \ - d += m[0][2] * cofac; \ - COFACTOR_4X4_IJ (cofac, m, 0, 3); \ - d += m[0][3] * cofac; \ -}\ - - -/** cofactor of matrix - * - * Computes cofactor of matrix m, returning a - */ -#define COFACTOR_2X2(a,m) \ -{ \ - a[0][0] = (m)[1][1]; \ - a[0][1] = - (m)[1][0]; \ - a[1][0] = - (m)[0][1]; \ - a[1][1] = (m)[0][0]; \ -}\ - - -/** cofactor of matrix - * - * Computes cofactor of matrix m, returning a - */ -#define COFACTOR_3X3(a,m) \ -{ \ - a[0][0] = m[1][1]*m[2][2] - m[1][2]*m[2][1]; \ - a[0][1] = - (m[1][0]*m[2][2] - m[2][0]*m[1][2]); \ - a[0][2] = m[1][0]*m[2][1] - m[1][1]*m[2][0]; \ - a[1][0] = - (m[0][1]*m[2][2] - m[0][2]*m[2][1]); \ - a[1][1] = m[0][0]*m[2][2] - m[0][2]*m[2][0]; \ - a[1][2] = - (m[0][0]*m[2][1] - m[0][1]*m[2][0]); \ - a[2][0] = m[0][1]*m[1][2] - m[0][2]*m[1][1]; \ - a[2][1] = - (m[0][0]*m[1][2] - m[0][2]*m[1][0]); \ - a[2][2] = m[0][0]*m[1][1] - m[0][1]*m[1][0]); \ -}\ - - -/** cofactor of matrix - * - * Computes cofactor of matrix m, returning a - */ -#define COFACTOR_4X4(a,m) \ -{ \ - int i,j; \ - \ - for (i=0; i<4; i++) { \ - for (j=0; j<4; j++) { \ - COFACTOR_4X4_IJ (a[i][j], m, i, j); \ - } \ - } \ -}\ - - -/** adjoint of matrix - * - * Computes adjoint of matrix m, returning a - * (Note that adjoint is just the transpose of the cofactor matrix) - */ -#define ADJOINT_2X2(a,m) \ -{ \ - a[0][0] = (m)[1][1]; \ - a[1][0] = - (m)[1][0]; \ - a[0][1] = - (m)[0][1]; \ - a[1][1] = (m)[0][0]; \ -}\ - - -/** adjoint of matrix - * - * Computes adjoint of matrix m, returning a - * (Note that adjoint is just the transpose of the cofactor matrix) - */ -#define ADJOINT_3X3(a,m) \ -{ \ - a[0][0] = m[1][1]*m[2][2] - m[1][2]*m[2][1]; \ - a[1][0] = - (m[1][0]*m[2][2] - m[2][0]*m[1][2]); \ - a[2][0] = m[1][0]*m[2][1] - m[1][1]*m[2][0]; \ - a[0][1] = - (m[0][1]*m[2][2] - m[0][2]*m[2][1]); \ - a[1][1] = m[0][0]*m[2][2] - m[0][2]*m[2][0]; \ - a[2][1] = - (m[0][0]*m[2][1] - m[0][1]*m[2][0]); \ - a[0][2] = m[0][1]*m[1][2] - m[0][2]*m[1][1]; \ - a[1][2] = - (m[0][0]*m[1][2] - m[0][2]*m[1][0]); \ - a[2][2] = m[0][0]*m[1][1] - m[0][1]*m[1][0]); \ -}\ - - -/** adjoint of matrix - * - * Computes adjoint of matrix m, returning a - * (Note that adjoint is just the transpose of the cofactor matrix) - */ -#define ADJOINT_4X4(a,m) \ -{ \ - char _i_,_j_; \ - \ - for (_i_=0; _i_<4; _i_++) { \ - for (_j_=0; _j_<4; _j_++) { \ - COFACTOR_4X4_IJ (a[_j_][_i_], m, _i_, _j_); \ - } \ - } \ -}\ - - -/** compute adjoint of matrix and scale - * - * Computes adjoint of matrix m, scales it by s, returning a - */ -#define SCALE_ADJOINT_2X2(a,s,m) \ -{ \ - a[0][0] = (s) * m[1][1]; \ - a[1][0] = - (s) * m[1][0]; \ - a[0][1] = - (s) * m[0][1]; \ - a[1][1] = (s) * m[0][0]; \ -}\ - - -/** compute adjoint of matrix and scale - * - * Computes adjoint of matrix m, scales it by s, returning a - */ -#define SCALE_ADJOINT_3X3(a,s,m) \ -{ \ - a[0][0] = (s) * (m[1][1] * m[2][2] - m[1][2] * m[2][1]); \ - a[1][0] = (s) * (m[1][2] * m[2][0] - m[1][0] * m[2][2]); \ - a[2][0] = (s) * (m[1][0] * m[2][1] - m[1][1] * m[2][0]); \ - \ - a[0][1] = (s) * (m[0][2] * m[2][1] - m[0][1] * m[2][2]); \ - a[1][1] = (s) * (m[0][0] * m[2][2] - m[0][2] * m[2][0]); \ - a[2][1] = (s) * (m[0][1] * m[2][0] - m[0][0] * m[2][1]); \ - \ - a[0][2] = (s) * (m[0][1] * m[1][2] - m[0][2] * m[1][1]); \ - a[1][2] = (s) * (m[0][2] * m[1][0] - m[0][0] * m[1][2]); \ - a[2][2] = (s) * (m[0][0] * m[1][1] - m[0][1] * m[1][0]); \ -}\ - - -/** compute adjoint of matrix and scale - * - * Computes adjoint of matrix m, scales it by s, returning a - */ -#define SCALE_ADJOINT_4X4(a,s,m) \ -{ \ - char _i_,_j_; \ - for (_i_=0; _i_<4; _i_++) { \ - for (_j_=0; _j_<4; _j_++) { \ - COFACTOR_4X4_IJ (a[_j_][_i_], m, _i_, _j_); \ - a[_j_][_i_] *= s; \ - } \ - } \ -}\ - -/** inverse of matrix - * - * Compute inverse of matrix a, returning determinant m and - * inverse b - */ -#define INVERT_2X2(b,det,a) \ -{ \ - GREAL _tmp_; \ - DETERMINANT_2X2 (det, a); \ - _tmp_ = 1.0 / (det); \ - SCALE_ADJOINT_2X2 (b, _tmp_, a); \ -}\ - - -/** inverse of matrix - * - * Compute inverse of matrix a, returning determinant m and - * inverse b - */ -#define INVERT_3X3(b,det,a) \ -{ \ - GREAL _tmp_; \ - DETERMINANT_3X3 (det, a); \ - _tmp_ = 1.0 / (det); \ - SCALE_ADJOINT_3X3 (b, _tmp_, a); \ -}\ - - -/** inverse of matrix - * - * Compute inverse of matrix a, returning determinant m and - * inverse b - */ -#define INVERT_4X4(b,det,a) \ -{ \ - GREAL _tmp_; \ - DETERMINANT_4X4 (det, a); \ - _tmp_ = 1.0 / (det); \ - SCALE_ADJOINT_4X4 (b, _tmp_, a); \ -}\ - -//! Get the triple(3) row of a transform matrix -#define MAT_GET_ROW(mat,vec3,rowindex)\ -{\ - vec3[0] = mat[rowindex][0];\ - vec3[1] = mat[rowindex][1];\ - vec3[2] = mat[rowindex][2]; \ -}\ - -//! Get the tuple(2) row of a transform matrix -#define MAT_GET_ROW2(mat,vec2,rowindex)\ -{\ - vec2[0] = mat[rowindex][0];\ - vec2[1] = mat[rowindex][1];\ -}\ - - -//! Get the quad (4) row of a transform matrix -#define MAT_GET_ROW4(mat,vec4,rowindex)\ -{\ - vec4[0] = mat[rowindex][0];\ - vec4[1] = mat[rowindex][1];\ - vec4[2] = mat[rowindex][2];\ - vec4[3] = mat[rowindex][3];\ -}\ - -//! Get the triple(3) col of a transform matrix -#define MAT_GET_COL(mat,vec3,colindex)\ -{\ - vec3[0] = mat[0][colindex];\ - vec3[1] = mat[1][colindex];\ - vec3[2] = mat[2][colindex]; \ -}\ - -//! Get the tuple(2) col of a transform matrix -#define MAT_GET_COL2(mat,vec2,colindex)\ -{\ - vec2[0] = mat[0][colindex];\ - vec2[1] = mat[1][colindex];\ -}\ - - -//! Get the quad (4) col of a transform matrix -#define MAT_GET_COL4(mat,vec4,colindex)\ -{\ - vec4[0] = mat[0][colindex];\ - vec4[1] = mat[1][colindex];\ - vec4[2] = mat[2][colindex];\ - vec4[3] = mat[3][colindex];\ -}\ - -//! Get the triple(3) col of a transform matrix -#define MAT_GET_X(mat,vec3)\ -{\ - MAT_GET_COL(mat,vec3,0);\ -}\ - -//! Get the triple(3) col of a transform matrix -#define MAT_GET_Y(mat,vec3)\ -{\ - MAT_GET_COL(mat,vec3,1);\ -}\ - -//! Get the triple(3) col of a transform matrix -#define MAT_GET_Z(mat,vec3)\ -{\ - MAT_GET_COL(mat,vec3,2);\ -}\ - - -//! Get the triple(3) col of a transform matrix -#define MAT_SET_X(mat,vec3)\ -{\ - mat[0][0] = vec3[0];\ - mat[1][0] = vec3[1];\ - mat[2][0] = vec3[2];\ -}\ - -//! Get the triple(3) col of a transform matrix -#define MAT_SET_Y(mat,vec3)\ -{\ - mat[0][1] = vec3[0];\ - mat[1][1] = vec3[1];\ - mat[2][1] = vec3[2];\ -}\ - -//! Get the triple(3) col of a transform matrix -#define MAT_SET_Z(mat,vec3)\ -{\ - mat[0][2] = vec3[0];\ - mat[1][2] = vec3[1];\ - mat[2][2] = vec3[2];\ -}\ - - -//! Get the triple(3) col of a transform matrix -#define MAT_GET_TRANSLATION(mat,vec3)\ -{\ - vec3[0] = mat[0][3];\ - vec3[1] = mat[1][3];\ - vec3[2] = mat[2][3]; \ -}\ - -//! Set the triple(3) col of a transform matrix -#define MAT_SET_TRANSLATION(mat,vec3)\ -{\ - mat[0][3] = vec3[0];\ - mat[1][3] = vec3[1];\ - mat[2][3] = vec3[2]; \ -}\ - - - -//! Returns the dot product between a vec3f and the row of a matrix -#define MAT_DOT_ROW(mat,vec3,rowindex) (vec3[0]*mat[rowindex][0] + vec3[1]*mat[rowindex][1] + vec3[2]*mat[rowindex][2]) - -//! Returns the dot product between a vec2f and the row of a matrix -#define MAT_DOT_ROW2(mat,vec2,rowindex) (vec2[0]*mat[rowindex][0] + vec2[1]*mat[rowindex][1]) - -//! Returns the dot product between a vec4f and the row of a matrix -#define MAT_DOT_ROW4(mat,vec4,rowindex) (vec4[0]*mat[rowindex][0] + vec4[1]*mat[rowindex][1] + vec4[2]*mat[rowindex][2] + vec4[3]*mat[rowindex][3]) - - -//! Returns the dot product between a vec3f and the col of a matrix -#define MAT_DOT_COL(mat,vec3,colindex) (vec3[0]*mat[0][colindex] + vec3[1]*mat[1][colindex] + vec3[2]*mat[2][colindex]) - -//! Returns the dot product between a vec2f and the col of a matrix -#define MAT_DOT_COL2(mat,vec2,colindex) (vec2[0]*mat[0][colindex] + vec2[1]*mat[1][colindex]) - -//! Returns the dot product between a vec4f and the col of a matrix -#define MAT_DOT_COL4(mat,vec4,colindex) (vec4[0]*mat[0][colindex] + vec4[1]*mat[1][colindex] + vec4[2]*mat[2][colindex] + vec4[3]*mat[3][colindex]) - -/*!Transpose matrix times vector -v is a vec3f -and m is a mat4f<br> -*/ -#define INV_MAT_DOT_VEC_3X3(p,m,v) \ -{ \ - p[0] = MAT_DOT_COL(m,v,0); \ - p[1] = MAT_DOT_COL(m,v,1); \ - p[2] = MAT_DOT_COL(m,v,2); \ -}\ - - - -#endif // GIM_VECTOR_H_INCLUDED |