annotate mupdf-source/thirdparty/lcms2/src/cmsmtrx.c @ 2:b50eed0cc0ef upstream

ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4. The directory name has changed: no version number in the expanded directory now.
author Franz Glasner <fzglas.hg@dom66.de>
date Mon, 15 Sep 2025 11:43:07 +0200
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1 //---------------------------------------------------------------------------------
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2 //
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3 // Little Color Management System
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4 // Copyright (c) 1998-2023 Marti Maria Saguer
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5 //
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6 // Permission is hereby granted, free of charge, to any person obtaining
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7 // a copy of this software and associated documentation files (the "Software"),
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8 // to deal in the Software without restriction, including without limitation
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9 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
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10 // and/or sell copies of the Software, and to permit persons to whom the Software
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11 // is furnished to do so, subject to the following conditions:
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12 //
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13 // The above copyright notice and this permission notice shall be included in
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14 // all copies or substantial portions of the Software.
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15 //
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16 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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17 // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO
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18 // THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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19 // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
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20 // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
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21 // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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22 // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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23 //
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24 //---------------------------------------------------------------------------------
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25 //
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27 #include "lcms2_internal.h"
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29
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30 #define DSWAP(x, y) {cmsFloat64Number tmp = (x); (x)=(y); (y)=tmp;}
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31
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32
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33 // Initiate a vector
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34 void CMSEXPORT _cmsVEC3init(cmsContext ContextID, cmsVEC3* r, cmsFloat64Number x, cmsFloat64Number y, cmsFloat64Number z)
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35 {
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36 cmsUNUSED_PARAMETER(ContextID);
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37 r -> n[VX] = x;
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38 r -> n[VY] = y;
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39 r -> n[VZ] = z;
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40 }
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41
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42 // Vector subtraction
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43 void CMSEXPORT _cmsVEC3minus(cmsContext ContextID, cmsVEC3* r, const cmsVEC3* a, const cmsVEC3* b)
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44 {
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45 cmsUNUSED_PARAMETER(ContextID);
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46 r -> n[VX] = a -> n[VX] - b -> n[VX];
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47 r -> n[VY] = a -> n[VY] - b -> n[VY];
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48 r -> n[VZ] = a -> n[VZ] - b -> n[VZ];
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49 }
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50
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51 // Vector cross product
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52 void CMSEXPORT _cmsVEC3cross(cmsContext ContextID, cmsVEC3* r, const cmsVEC3* u, const cmsVEC3* v)
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53 {
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54 cmsUNUSED_PARAMETER(ContextID);
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55 r ->n[VX] = u->n[VY] * v->n[VZ] - v->n[VY] * u->n[VZ];
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56 r ->n[VY] = u->n[VZ] * v->n[VX] - v->n[VZ] * u->n[VX];
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57 r ->n[VZ] = u->n[VX] * v->n[VY] - v->n[VX] * u->n[VY];
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58 }
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59
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60 // Vector dot product
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61 cmsFloat64Number CMSEXPORT _cmsVEC3dot(cmsContext ContextID, const cmsVEC3* u, const cmsVEC3* v)
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62 {
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63 cmsUNUSED_PARAMETER(ContextID);
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64 return u->n[VX] * v->n[VX] + u->n[VY] * v->n[VY] + u->n[VZ] * v->n[VZ];
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65 }
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66
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67 // Euclidean length
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68 cmsFloat64Number CMSEXPORT _cmsVEC3length(cmsContext ContextID, const cmsVEC3* a)
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69 {
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70 cmsUNUSED_PARAMETER(ContextID);
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71 return sqrt(a ->n[VX] * a ->n[VX] +
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72 a ->n[VY] * a ->n[VY] +
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73 a ->n[VZ] * a ->n[VZ]);
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74 }
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75
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76 // Euclidean distance
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77 cmsFloat64Number CMSEXPORT _cmsVEC3distance(cmsContext ContextID, const cmsVEC3* a, const cmsVEC3* b)
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78 {
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79 cmsFloat64Number d1 = a ->n[VX] - b ->n[VX];
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80 cmsFloat64Number d2 = a ->n[VY] - b ->n[VY];
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81 cmsFloat64Number d3 = a ->n[VZ] - b ->n[VZ];
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82
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83 cmsUNUSED_PARAMETER(ContextID);
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84
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85 return sqrt(d1*d1 + d2*d2 + d3*d3);
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86 }
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87
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88
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89
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90 // 3x3 Identity
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91 void CMSEXPORT _cmsMAT3identity(cmsContext ContextID, cmsMAT3* a)
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92 {
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93 _cmsVEC3init(ContextID, &a-> v[0], 1.0, 0.0, 0.0);
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94 _cmsVEC3init(ContextID, &a-> v[1], 0.0, 1.0, 0.0);
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95 _cmsVEC3init(ContextID, &a-> v[2], 0.0, 0.0, 1.0);
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
96 }
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parents:
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97
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parents:
diff changeset
98 static
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
99 cmsBool CloseEnough(cmsFloat64Number a, cmsFloat64Number b)
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
100 {
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
101 return fabs(b - a) < (1.0 / 65535.0);
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parents:
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102 }
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parents:
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103
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parents:
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104
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
105 cmsBool CMSEXPORT _cmsMAT3isIdentity(cmsContext ContextID, const cmsMAT3* a)
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
106 {
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
107 cmsMAT3 Identity;
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
108 int i, j;
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parents:
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109
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
110 _cmsMAT3identity(ContextID, &Identity);
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parents:
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111
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
112 for (i=0; i < 3; i++)
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
113 for (j=0; j < 3; j++)
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
114 if (!CloseEnough(a ->v[i].n[j], Identity.v[i].n[j])) return FALSE;
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parents:
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115
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parents:
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116 return TRUE;
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117 }
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118
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parents:
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119
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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120 // Multiply two matrices
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
121 void CMSEXPORT _cmsMAT3per(cmsContext ContextID, cmsMAT3* r, const cmsMAT3* a, const cmsMAT3* b)
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parents:
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122 {
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
123 #define ROWCOL(i, j) \
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
124 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]
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parents:
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125
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
126 _cmsVEC3init(ContextID, &r-> v[0], ROWCOL(0,0), ROWCOL(0,1), ROWCOL(0,2));
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
127 _cmsVEC3init(ContextID, &r-> v[1], ROWCOL(1,0), ROWCOL(1,1), ROWCOL(1,2));
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
128 _cmsVEC3init(ContextID, &r-> v[2], ROWCOL(2,0), ROWCOL(2,1), ROWCOL(2,2));
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parents:
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129
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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130 #undef ROWCOL //(i, j)
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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131 }
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parents:
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132
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parents:
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133
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parents:
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134
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
135 // Inverse of a matrix b = a^(-1)
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
136 cmsBool CMSEXPORT _cmsMAT3inverse(cmsContext ContextID, const cmsMAT3* a, cmsMAT3* b)
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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137 {
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
138 cmsFloat64Number det, c0, c1, c2;
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
139 cmsUNUSED_PARAMETER(ContextID);
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parents:
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140
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
141 c0 = a -> v[1].n[1]*a -> v[2].n[2] - a -> v[1].n[2]*a -> v[2].n[1];
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
142 c1 = -a -> v[1].n[0]*a -> v[2].n[2] + a -> v[1].n[2]*a -> v[2].n[0];
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
143 c2 = a -> v[1].n[0]*a -> v[2].n[1] - a -> v[1].n[1]*a -> v[2].n[0];
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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144
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parents:
diff changeset
145 det = a -> v[0].n[0]*c0 + a -> v[0].n[1]*c1 + a -> v[0].n[2]*c2;
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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146
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
147 if (fabs(det) < MATRIX_DET_TOLERANCE) return FALSE; // singular matrix; can't invert
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148
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parents:
diff changeset
149 b -> v[0].n[0] = c0/det;
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parents:
diff changeset
150 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;
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
151 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;
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
152 b -> v[1].n[0] = c1/det;
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
153 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;
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
154 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;
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
155 b -> v[2].n[0] = c2/det;
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
156 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;
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
157 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;
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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158
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
159 return TRUE;
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parents:
diff changeset
160 }
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parents:
diff changeset
161
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parents:
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162
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
163 // Solve a system in the form Ax = b
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
164 cmsBool CMSEXPORT _cmsMAT3solve(cmsContext ContextID, cmsVEC3* x, cmsMAT3* a, cmsVEC3* b)
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
diff changeset
165 {
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
166 cmsMAT3 m, a_1;
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
diff changeset
167
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
168 memmove(&m, a, sizeof(cmsMAT3));
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
diff changeset
169
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
170 if (!_cmsMAT3inverse(ContextID, &m, &a_1)) return FALSE; // Singular matrix
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parents:
diff changeset
171
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
172 _cmsMAT3eval(ContextID, x, &a_1, b);
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
173 return TRUE;
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
174 }
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parents:
diff changeset
175
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
176 // Evaluate a vector across a matrix
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
177 void CMSEXPORT _cmsMAT3eval(cmsContext ContextID, cmsVEC3* r, const cmsMAT3* a, const cmsVEC3* v)
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
178 {
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
179 cmsUNUSED_PARAMETER(ContextID);
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parents:
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180
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
181 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];
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
182 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];
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
183 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];
b50eed0cc0ef ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
184 }
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parents:
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185
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Franz Glasner <fzglas.hg@dom66.de>
parents:
diff changeset
186