| //--------------------------------------------------------------------------------- |
| // |
| // Little Color Management System |
| // Copyright (c) 1998-2022 Marti Maria Saguer |
| // |
| // Permission is hereby granted, free of charge, to any person obtaining |
| // a copy of this software and associated documentation files (the "Software"), |
| // to deal in the Software without restriction, including without limitation |
| // the rights to use, copy, modify, merge, publish, distribute, sublicense, |
| // and/or sell copies of the Software, and to permit persons to whom the Software |
| // is furnished to do so, subject to the following conditions: |
| // |
| // The above copyright notice and this permission notice shall be included in |
| // all copies or substantial portions of the Software. |
| // |
| // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
| // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO |
| // THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
| // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE |
| // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION |
| // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION |
| // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. |
| // |
| //--------------------------------------------------------------------------------- |
| // |
| |
| #include "lcms2_internal.h" |
| |
| |
| #define DSWAP(x, y) {cmsFloat64Number tmp = (x); (x)=(y); (y)=tmp;} |
| |
| |
| // Initiate a vector |
| void CMSEXPORT _cmsVEC3init(cmsVEC3* r, cmsFloat64Number x, cmsFloat64Number y, cmsFloat64Number z) |
| { |
| r -> n[VX] = x; |
| r -> n[VY] = y; |
| r -> n[VZ] = z; |
| } |
| |
| // Vector subtraction |
| void CMSEXPORT _cmsVEC3minus(cmsVEC3* r, const cmsVEC3* a, const cmsVEC3* b) |
| { |
| r -> n[VX] = a -> n[VX] - b -> n[VX]; |
| r -> n[VY] = a -> n[VY] - b -> n[VY]; |
| r -> n[VZ] = a -> n[VZ] - b -> n[VZ]; |
| } |
| |
| // Vector cross product |
| void CMSEXPORT _cmsVEC3cross(cmsVEC3* r, const cmsVEC3* u, const cmsVEC3* v) |
| { |
| r ->n[VX] = u->n[VY] * v->n[VZ] - v->n[VY] * u->n[VZ]; |
| r ->n[VY] = u->n[VZ] * v->n[VX] - v->n[VZ] * u->n[VX]; |
| r ->n[VZ] = u->n[VX] * v->n[VY] - v->n[VX] * u->n[VY]; |
| } |
| |
| // Vector dot product |
| cmsFloat64Number CMSEXPORT _cmsVEC3dot(const cmsVEC3* u, const cmsVEC3* v) |
| { |
| return u->n[VX] * v->n[VX] + u->n[VY] * v->n[VY] + u->n[VZ] * v->n[VZ]; |
| } |
| |
| // Euclidean length |
| cmsFloat64Number CMSEXPORT _cmsVEC3length(const cmsVEC3* a) |
| { |
| return sqrt(a ->n[VX] * a ->n[VX] + |
| a ->n[VY] * a ->n[VY] + |
| a ->n[VZ] * a ->n[VZ]); |
| } |
| |
| // Euclidean distance |
| cmsFloat64Number CMSEXPORT _cmsVEC3distance(const cmsVEC3* a, const cmsVEC3* b) |
| { |
| cmsFloat64Number d1 = a ->n[VX] - b ->n[VX]; |
| cmsFloat64Number d2 = a ->n[VY] - b ->n[VY]; |
| cmsFloat64Number d3 = a ->n[VZ] - b ->n[VZ]; |
| |
| return sqrt(d1*d1 + d2*d2 + d3*d3); |
| } |
| |
| |
| |
| // 3x3 Identity |
| void CMSEXPORT _cmsMAT3identity(cmsMAT3* a) |
| { |
| _cmsVEC3init(&a-> v[0], 1.0, 0.0, 0.0); |
| _cmsVEC3init(&a-> v[1], 0.0, 1.0, 0.0); |
| _cmsVEC3init(&a-> v[2], 0.0, 0.0, 1.0); |
| } |
| |
| static |
| cmsBool CloseEnough(cmsFloat64Number a, cmsFloat64Number b) |
| { |
| return fabs(b - a) < (1.0 / 65535.0); |
| } |
| |
| |
| cmsBool CMSEXPORT _cmsMAT3isIdentity(const cmsMAT3* a) |
| { |
| cmsMAT3 Identity; |
| int i, j; |
| |
| _cmsMAT3identity(&Identity); |
| |
| for (i=0; i < 3; i++) |
| for (j=0; j < 3; j++) |
| if (!CloseEnough(a ->v[i].n[j], Identity.v[i].n[j])) return FALSE; |
| |
| return TRUE; |
| } |
| |
| |
| // Multiply two matrices |
| void CMSEXPORT _cmsMAT3per(cmsMAT3* r, const cmsMAT3* a, const cmsMAT3* b) |
| { |
| #define ROWCOL(i, j) \ |
| 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] |
| |
| _cmsVEC3init(&r-> v[0], ROWCOL(0,0), ROWCOL(0,1), ROWCOL(0,2)); |
| _cmsVEC3init(&r-> v[1], ROWCOL(1,0), ROWCOL(1,1), ROWCOL(1,2)); |
| _cmsVEC3init(&r-> v[2], ROWCOL(2,0), ROWCOL(2,1), ROWCOL(2,2)); |
| |
| #undef ROWCOL //(i, j) |
| } |
| |
| |
| |
| // Inverse of a matrix b = a^(-1) |
| cmsBool CMSEXPORT _cmsMAT3inverse(const cmsMAT3* a, cmsMAT3* b) |
| { |
| cmsFloat64Number det, c0, c1, c2; |
| |
| c0 = a -> v[1].n[1]*a -> v[2].n[2] - a -> v[1].n[2]*a -> v[2].n[1]; |
| c1 = -a -> v[1].n[0]*a -> v[2].n[2] + a -> v[1].n[2]*a -> v[2].n[0]; |
| c2 = a -> v[1].n[0]*a -> v[2].n[1] - a -> v[1].n[1]*a -> v[2].n[0]; |
| |
| det = a -> v[0].n[0]*c0 + a -> v[0].n[1]*c1 + a -> v[0].n[2]*c2; |
| |
| if (fabs(det) < MATRIX_DET_TOLERANCE) return FALSE; // singular matrix; can't invert |
| |
| b -> v[0].n[0] = c0/det; |
| 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; |
| 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; |
| b -> v[1].n[0] = c1/det; |
| 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; |
| 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; |
| b -> v[2].n[0] = c2/det; |
| 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; |
| 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; |
| |
| return TRUE; |
| } |
| |
| |
| // Solve a system in the form Ax = b |
| cmsBool CMSEXPORT _cmsMAT3solve(cmsVEC3* x, cmsMAT3* a, cmsVEC3* b) |
| { |
| cmsMAT3 m, a_1; |
| |
| memmove(&m, a, sizeof(cmsMAT3)); |
| |
| if (!_cmsMAT3inverse(&m, &a_1)) return FALSE; // Singular matrix |
| |
| _cmsMAT3eval(x, &a_1, b); |
| return TRUE; |
| } |
| |
| // Evaluate a vector across a matrix |
| void CMSEXPORT _cmsMAT3eval(cmsVEC3* r, const cmsMAT3* a, const cmsVEC3* v) |
| { |
| 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]; |
| 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]; |
| 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]; |
| } |
| |
| |