📄 cmsmtrx.c
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//// Little cms// Copyright (C) 1998-2005 Marti Maria//// 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.// Vector & Matrix stuff#include "lcms.h"void cdecl VEC3init(LPVEC3 r, double x, double y, double z);void cdecl VEC3initF(LPWVEC3 r, double x, double y, double z);void cdecl VEC3toFix(LPWVEC3 r, LPVEC3 v);void cdecl VEC3scaleFix(LPWORD r, LPWVEC3 Scale);void cdecl VEC3swap(LPVEC3 a, LPVEC3 b);void cdecl VEC3divK(LPVEC3 r, LPVEC3 v, double d);void cdecl VEC3perK(LPVEC3 r, LPVEC3 v, double d);void cdecl VEC3perComp(LPVEC3 r, LPVEC3 a, LPVEC3 b);void cdecl VEC3minus(LPVEC3 r, LPVEC3 a, LPVEC3 b);void cdecl VEC3scaleAndCut(LPWVEC3 r, LPVEC3 v, double d);void cdecl VEC3cross(LPVEC3 r, LPVEC3 u, LPVEC3 v);void cdecl VEC3saturate(LPVEC3 v);double cdecl VEC3length(LPVEC3 a);double cdecl VEC3distance(LPVEC3 a, LPVEC3 b);void cdecl MAT3identity(LPMAT3 a);void cdecl MAT3per(LPMAT3 r, LPMAT3 a, LPMAT3 b);int cdecl MAT3inverse(LPMAT3 a, LPMAT3 b);BOOL cdecl MAT3solve(LPVEC3 x, LPMAT3 a, LPVEC3 b);double cdecl MAT3det(LPMAT3 m);void cdecl MAT3eval(LPVEC3 r, LPMAT3 a, LPVEC3 v);void cdecl MAT3toFix(LPWMAT3 r, LPMAT3 v);void cdecl MAT3evalW(LPWVEC3 r, LPWMAT3 a, LPWVEC3 v);void cdecl MAT3perK(LPMAT3 r, LPMAT3 v, double d);void cdecl MAT3scaleAndCut(LPWMAT3 r, LPMAT3 v, double d);// --------------------- Implementation ----------------------------#define DSWAP(x, y) {double tmp = (x); (x)=(y); (y)=tmp;}#ifdef USE_ASSEMBLER#ifdef _MSC_VER#pragma warning(disable : 4033)#endifFixed32 FixedMul(Fixed32 a, Fixed32 b){ ASM { mov eax, ss:a mov edx, ss:b imul edx add eax, 0x8000 adc edx, 0 shrd eax, edx, 16 } RET(_EAX);}Fixed32 FixedSquare(Fixed32 a){ ASM { pushf push edx mov eax, ss:a imul eax add eax, 0x8000 adc edx, 0 shrd eax, edx, 16 sar eax, 16 pop edx popf } RET(_EAX);}// Linear intERPolation// a * (h - l) >> 16 + lFixed32 FixedLERP(Fixed32 a, Fixed32 l, Fixed32 h){ ASM { mov eax, dword ptr ss:h mov edx, dword ptr ss:l push edx mov ecx, dword ptr ss:a sub eax, edx imul ecx add eax, 0x8000 adc edx, 0 shrd eax, edx, 16 pop edx add eax, edx } RET(_EAX);}// a as word is scaled by s as floatWORD FixedScale(WORD a, Fixed32 s){ ASM { xor eax,eax mov ax, ss:a // This is faster that movzx eax, ss:a sal eax, 16 mov edx, ss:s mul edx add eax, 0x8000 adc edx, 0 mov eax, edx } RET(_EAX);}#ifdef _MSC_VER#pragma warning(default : 4033)#endif#else// These are floating point versions for compilers that doesn't// support asm at all. Use with care, since this will slow down// all operationsFixed32 FixedMul(Fixed32 a, Fixed32 b){#ifdef USE_INT64 LCMSULONGLONG l = (LCMSULONGLONG) (LCMSSLONGLONG) a * (LCMSULONGLONG) (LCMSSLONGLONG) b + (LCMSULONGLONG) 0x8000; l >>= 16; return (Fixed32) l;#else return DOUBLE_TO_FIXED(FIXED_TO_DOUBLE(a) * FIXED_TO_DOUBLE(b));#endif}Fixed32 FixedSquare(Fixed32 a){ return FixedMul(a, a);}Fixed32 FixedLERP(Fixed32 a, Fixed32 l, Fixed32 h){#ifdef USE_INT64 LCMSULONGLONG dif = (LCMSULONGLONG) (h - l) * a + 0x8000; dif = (dif >> 16) + l; return (Fixed32) (dif);#else double dif = h - l; dif *= a; dif /= 65536.0; dif += l; return (Fixed32) (dif + 0.5);#endif }WORD FixedScale(WORD a, Fixed32 s){ return (WORD) (a * FIXED_TO_DOUBLE(s));}#endif#ifndef USE_INLINEFixed32 ToFixedDomain(int a){ return a + ((a + 0x7fff) / 0xffff);}int FromFixedDomain(Fixed32 a){ return a - ((a + 0x7fff) >> 16); }#endif// Initiate a vector (double version)void VEC3init(LPVEC3 r, double x, double y, double z){ r -> n[VX] = x; r -> n[VY] = y; r -> n[VZ] = z;}// Init a vector (fixed version)void VEC3initF(LPWVEC3 r, double x, double y, double z){ r -> n[VX] = DOUBLE_TO_FIXED(x); r -> n[VY] = DOUBLE_TO_FIXED(y); r -> n[VZ] = DOUBLE_TO_FIXED(z);}// Convert to fixed point encoding is 1.0 = 0xFFFFvoid VEC3toFix(LPWVEC3 r, LPVEC3 v){ r -> n[VX] = DOUBLE_TO_FIXED(v -> n[VX]); r -> n[VY] = DOUBLE_TO_FIXED(v -> n[VY]); r -> n[VZ] = DOUBLE_TO_FIXED(v -> n[VZ]);}// Convert from fixed pointvoid VEC3fromFix(LPVEC3 r, LPWVEC3 v){ r -> n[VX] = FIXED_TO_DOUBLE(v -> n[VX]); r -> n[VY] = FIXED_TO_DOUBLE(v -> n[VY]); r -> n[VZ] = FIXED_TO_DOUBLE(v -> n[VZ]);}// Swap two double vectorsvoid VEC3swap(LPVEC3 a, LPVEC3 b){ DSWAP(a-> n[VX], b-> n[VX]); DSWAP(a-> n[VY], b-> n[VY]); DSWAP(a-> n[VZ], b-> n[VZ]);}// Divide a vector by a constantvoid VEC3divK(LPVEC3 r, LPVEC3 v, double d){ double d_inv = 1./d; r -> n[VX] = v -> n[VX] * d_inv; r -> n[VY] = v -> n[VY] * d_inv; r -> n[VZ] = v -> n[VZ] * d_inv;}// Multiply by a constantvoid VEC3perK(LPVEC3 r, LPVEC3 v, double d ){ r -> n[VX] = v -> n[VX] * d; r -> n[VY] = v -> n[VY] * d; r -> n[VZ] = v -> n[VZ] * d;}void VEC3perComp(LPVEC3 r, LPVEC3 a, LPVEC3 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];}// Minusvoid VEC3minus(LPVEC3 r, LPVEC3 a, LPVEC3 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];}// Check id two vectors are the same, allowing tolerancestaticBOOL RangeCheck(double l, double h, double v){ return (v >= l && v <= h);}BOOL VEC3equal(LPWVEC3 a, LPWVEC3 b, double Tolerance){ int i; double c; for (i=0; i < 3; i++) { c = FIXED_TO_DOUBLE(a -> n[i]); if (!RangeCheck(c - Tolerance, c + Tolerance, FIXED_TO_DOUBLE(b->n[i]))) return FALSE; } return TRUE;}BOOL VEC3equalF(LPVEC3 a, LPVEC3 b, double Tolerance){ int i; double c; for (i=0; i < 3; i++) { c = a -> n[i]; if (!RangeCheck(c - Tolerance, c + Tolerance, b->n[i])) return FALSE; } return TRUE;}void VEC3scaleFix(LPWORD r, LPWVEC3 Scale){ if (Scale -> n[VX] == 0x00010000L && Scale -> n[VY] == 0x00010000L && Scale -> n[VZ] == 0x00010000L) return; r[0] = (WORD) FixedScale(r[0], Scale -> n[VX]); r[1] = (WORD) FixedScale(r[1], Scale -> n[VY]); r[2] = (WORD) FixedScale(r[2], Scale -> n[VZ]);}// Vector cross productvoid VEC3cross(LPVEC3 r, LPVEC3 u, LPVEC3 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];} // The vector sizedouble VEC3length(LPVEC3 a){ return sqrt(a ->n[VX] * a ->n[VX] + a ->n[VY] * a ->n[VY] + a ->n[VZ] * a ->n[VZ]);}// Saturate a vector into 0..1.0 rangevoid VEC3saturate(LPVEC3 v){ int i; for (i=0; i < 3; i++) { if (v ->n[i] < 0) v ->n[i] = 0; else if (v ->n[i] > 1.0) v ->n[i] = 1.0; }}// Euclidean distance
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