workbench/libs/lcms2/src/cmsmtrx.c

   1 //---------------------------------------------------------------------------------
   2 //
   3 //  Little Color Management System
   4 //  Copyright (c) 1998-2012 Marti Maria Saguer
   5 //
   6 // Permission is hereby granted, free of charge, to any person obtaining
   7 // a copy of this software and associated documentation files (the "Software"),
   8 // to deal in the Software without restriction, including without limitation
   9 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
  10 // and/or sell copies of the Software, and to permit persons to whom the Software
  11 // is furnished to do so, subject to the following conditions:
  12 //
  13 // The above copyright notice and this permission notice shall be included in
  14 // all copies or substantial portions of the Software.
  15 //
  16 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
  17 // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO
  18 // THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
  19 // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
  20 // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
  21 // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
  22 // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
  23 //
  24 //---------------------------------------------------------------------------------
  25 //
  26
  27 #include "lcms2_internal.h"
  28
  29
  30 #define DSWAP(x, y)     {cmsFloat64Number tmp = (x); (x)=(y); (y)=tmp;}
  31
  32
  33 // Initiate a vector
  34 void CMSEXPORT _cmsVEC3init(cmsVEC3* r, cmsFloat64Number x, cmsFloat64Number y, cmsFloat64Number z)
  35 {
  36     r -> n[VX] = x;
  37     r -> n[VY] = y;
  38     r -> n[VZ] = z;
  39 }
  40
  41 // Vector substraction
  42 void CMSEXPORT _cmsVEC3minus(cmsVEC3* r, const cmsVEC3* a, const cmsVEC3* b)
  43 {
  44   r -> n[VX] = a -> n[VX] - b -> n[VX];
  45   r -> n[VY] = a -> n[VY] - b -> n[VY];
  46   r -> n[VZ] = a -> n[VZ] - b -> n[VZ];
  47 }
  48
  49 // Vector cross product
  50 void CMSEXPORT _cmsVEC3cross(cmsVEC3* r, const cmsVEC3* u, const cmsVEC3* v)
  51 {
  52     r ->n[VX] = u->n[VY] * v->n[VZ] - v->n[VY] * u->n[VZ];
  53     r ->n[VY] = u->n[VZ] * v->n[VX] - v->n[VZ] * u->n[VX];
  54     r ->n[VZ] = u->n[VX] * v->n[VY] - v->n[VX] * u->n[VY];
  55 }
  56
  57 // Vector dot product
  58 cmsFloat64Number CMSEXPORT _cmsVEC3dot(const cmsVEC3* u, const cmsVEC3* v)
  59 {
  60     return u->n[VX] * v->n[VX] + u->n[VY] * v->n[VY] + u->n[VZ] * v->n[VZ];
  61 }
  62
  63 // Euclidean length
  64 cmsFloat64Number CMSEXPORT _cmsVEC3length(const cmsVEC3* a)
  65 {
  66     return sqrt(a ->n[VX] * a ->n[VX] +
  67                 a ->n[VY] * a ->n[VY] +
  68                 a ->n[VZ] * a ->n[VZ]);
  69 }
  70
  71 // Euclidean distance
  72 cmsFloat64Number CMSEXPORT _cmsVEC3distance(const cmsVEC3* a, const cmsVEC3* b)
  73 {
  74     cmsFloat64Number d1 = a ->n[VX] - b ->n[VX];
  75     cmsFloat64Number d2 = a ->n[VY] - b ->n[VY];
  76     cmsFloat64Number d3 = a ->n[VZ] - b ->n[VZ];
  77
  78     return sqrt(d1*d1 + d2*d2 + d3*d3);
  79 }
  80
  81
  82
  83 // 3x3 Identity
  84 void CMSEXPORT _cmsMAT3identity(cmsMAT3* a)
  85 {
  86     _cmsVEC3init(&a-> v[0], 1.0, 0.0, 0.0);
  87     _cmsVEC3init(&a-> v[1], 0.0, 1.0, 0.0);
  88     _cmsVEC3init(&a-> v[2], 0.0, 0.0, 1.0);
  89 }
  90
  91 static
  92 cmsBool CloseEnough(cmsFloat64Number a, cmsFloat64Number b)
  93 {
  94     return fabs(b - a) < (1.0 / 65535.0);
  95 }
  96
  97
  98 cmsBool CMSEXPORT _cmsMAT3isIdentity(const cmsMAT3* a)
  99 {
 100     cmsMAT3 Identity;
 101     int i, j;
 102
 103     _cmsMAT3identity(&Identity);
 104
 105     for (i=0; i < 3; i++)
 106         for (j=0; j < 3; j++)
 107             if (!CloseEnough(a ->v[i].n[j], Identity.v[i].n[j])) return FALSE;
 108
 109     return TRUE;
 110 }
 111
 112
 113 // Multiply two matrices
 114 void CMSEXPORT _cmsMAT3per(cmsMAT3* r, const cmsMAT3* a, const cmsMAT3* b)
 115 {
 116 #define ROWCOL(i, j) \
 117     a->v[i].n[0]*b->v[0].n[j] + a->v[i].n[1]*b->v[1].n[j] + a->v[i].n[2]*b->v[2].n[j]
 118
 119     _cmsVEC3init(&r-> v[0], ROWCOL(0,0), ROWCOL(0,1), ROWCOL(0,2));
 120     _cmsVEC3init(&r-> v[1], ROWCOL(1,0), ROWCOL(1,1), ROWCOL(1,2));
 121     _cmsVEC3init(&r-> v[2], ROWCOL(2,0), ROWCOL(2,1), ROWCOL(2,2));
 122
 123 #undef ROWCOL //(i, j)
 124 }
 125
 126
 127
 128 // Inverse of a matrix b = a^(-1)
 129 cmsBool  CMSEXPORT _cmsMAT3inverse(const cmsMAT3* a, cmsMAT3* b)
 130 {
 131    cmsFloat64Number det, c0, c1, c2;
 132
 133    c0 =  a -> v[1].n[1]*a -> v[2].n[2] - a -> v[1].n[2]*a -> v[2].n[1];
 134    c1 = -a -> v[1].n[0]*a -> v[2].n[2] + a -> v[1].n[2]*a -> v[2].n[0];
 135    c2 =  a -> v[1].n[0]*a -> v[2].n[1] - a -> v[1].n[1]*a -> v[2].n[0];
 136
 137    det = a -> v[0].n[0]*c0 + a -> v[0].n[1]*c1 + a -> v[0].n[2]*c2;
 138
 139    if (fabs(det) < MATRIX_DET_TOLERANCE) return FALSE;  // singular matrix; can't invert
 140
 141    b -> v[0].n[0] = c0/det;
 142    b -> v[0].n[1] = (a -> v[0].n[2]*a -> v[2].n[1] - a -> v[0].n[1]*a -> v[2].n[2])/det;
 143    b -> v[0].n[2] = (a -> v[0].n[1]*a -> v[1].n[2] - a -> v[0].n[2]*a -> v[1].n[1])/det;
 144    b -> v[1].n[0] = c1/det;
 145    b -> v[1].n[1] = (a -> v[0].n[0]*a -> v[2].n[2] - a -> v[0].n[2]*a -> v[2].n[0])/det;
 146    b -> v[1].n[2] = (a -> v[0].n[2]*a -> v[1].n[0] - a -> v[0].n[0]*a -> v[1].n[2])/det;
 147    b -> v[2].n[0] = c2/det;
 148    b -> v[2].n[1] = (a -> v[0].n[1]*a -> v[2].n[0] - a -> v[0].n[0]*a -> v[2].n[1])/det;
 149    b -> v[2].n[2] = (a -> v[0].n[0]*a -> v[1].n[1] - a -> v[0].n[1]*a -> v[1].n[0])/det;
 150
 151    return TRUE;
 152 }
 153
 154
 155 // Solve a system in the form Ax = b
 156 cmsBool  CMSEXPORT _cmsMAT3solve(cmsVEC3* x, cmsMAT3* a, cmsVEC3* b)
 157 {
 158     cmsMAT3 m, a_1;
 159
 160     memmove(&m, a, sizeof(cmsMAT3));
 161
 162     if (!_cmsMAT3inverse(&m, &a_1)) return FALSE;  // Singular matrix
 163
 164     _cmsMAT3eval(x, &a_1, b);
 165     return TRUE;
 166 }
 167
 168 // Evaluate a vector across a matrix
 169 void CMSEXPORT _cmsMAT3eval(cmsVEC3* r, const cmsMAT3* a, const cmsVEC3* v)
 170 {
 171     r->n[VX] = a->v[0].n[VX]*v->n[VX] + a->v[0].n[VY]*v->n[VY] + a->v[0].n[VZ]*v->n[VZ];
 172     r->n[VY] = a->v[1].n[VX]*v->n[VX] + a->v[1].n[VY]*v->n[VY] + a->v[1].n[VZ]*v->n[VZ];
 173     r->n[VZ] = a->v[2].n[VX]*v->n[VX] + a->v[2].n[VY]*v->n[VY] + a->v[2].n[VZ]*v->n[VZ];
 174 }
 175
 176