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Diffstat (limited to 'third_party/lcms/src/cmsmtrx.c')
-rw-r--r-- | third_party/lcms/src/cmsmtrx.c | 175 |
1 files changed, 175 insertions, 0 deletions
diff --git a/third_party/lcms/src/cmsmtrx.c b/third_party/lcms/src/cmsmtrx.c new file mode 100644 index 0000000000..fb7b91caf1 --- /dev/null +++ b/third_party/lcms/src/cmsmtrx.c @@ -0,0 +1,175 @@ +//--------------------------------------------------------------------------------- +// +// Little Color Management System +// Copyright (c) 1998-2012 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 substraction +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]; +} + |