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// This file is available under and governed by the GNU General Public

// License version 2 only, as published by the Free Software Foundation.

// However, the following notice accompanied the original version of this

// file:

//

//---------------------------------------------------------------------------------

//

//  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];

}