📄 cmsintrp.c
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if (Value == 0xFFFF) return 0xFFFF; // else restrict to valid zone a = ((NumZeroes-1) * 0xFFFF) / p->Domain; b = ((p -> Domain - NumPoles) * 0xFFFF) / p ->Domain; l = a - 1; r = b + 1; } // Seems not a degenerated case... apply binary search while (r > l) { x = (l + r) / 2; res = (int) cmsLinearInterpLUT16((WORD) (x - 1), LutTable, p); if (res == Value) { // Found exact match. return (WORD) (x - 1); } if (res > Value) r = x - 1; else l = x + 1; } // Not found, should we interpolate? // Get surrounding nodes val2 = p -> Domain * ((double) (x - 1) / 65535.0); cell0 = (int) floor(val2); cell1 = (int) ceil(val2); if (cell0 == cell1) return (WORD) x; y0 = LutTable[cell0] ; x0 = (65535.0 * cell0) / p ->Domain; y1 = LutTable[cell1] ; x1 = (65535.0 * cell1) / p ->Domain; a = (y1 - y0) / (x1 - x0); b = y0 - a * x0; if (a == 0) return (WORD) x; f = ((Value - b) / a); if (f < 0.0) return (WORD) 0; if (f >= 65535.0) return (WORD) 0xFFFF; return (WORD) floor(f + 0.5); }// Trilinear interpolation (16 bits) - float version#ifdef USE_FLOATvoid cmsTrilinearInterp16(WORD Input[], WORD Output[], WORD LutTable[], LPL16PARAMS p){# define LERP(a,l,h) (double) ((l)+(((h)-(l))*(a)))# define DENS(X, Y, Z) (double) (LutTable[TotalOut*((Z)+clutPoints*((Y)+clutPoints*(X)))+OutChan]) double px, py, pz; int x0, y0, z0, x1, y1, z1; int clutPoints, TotalOut, OutChan; double fx, fy, fz, d000, d001, d010, d011, d100, d101, d110, d111, dx00, dx01, dx10, dx11, dxy0, dxy1, dxyz; clutPoints = p -> Domain + 1; TotalOut = p -> nOutputs; px = ((double) Input[0] * (p->Domain)) / 65535.0; py = ((double) Input[1] * (p->Domain)) / 65535.0; pz = ((double) Input[2] * (p->Domain)) / 65535.0; x0 = (int) _cmsQuickFloor(px); fx = px - (double) x0; y0 = (int) _cmsQuickFloor(py); fy = py - (double) y0; z0 = (int) _cmsQuickFloor(pz); fz = pz - (double) z0; x1 = x0 + (Input[0] != 0xFFFFU ? 1 : 0); y1 = y0 + (Input[1] != 0xFFFFU ? 1 : 0); z1 = z0 + (Input[2] != 0xFFFFU ? 1 : 0); for (OutChan = 0; OutChan < TotalOut; OutChan++) { d000 = DENS(x0, y0, z0); d001 = DENS(x0, y0, z1); d010 = DENS(x0, y1, z0); d011 = DENS(x0, y1, z1); d100 = DENS(x1, y0, z0); d101 = DENS(x1, y0, z1); d110 = DENS(x1, y1, z0); d111 = DENS(x1, y1, z1); dx00 = LERP(fx, d000, d100); dx01 = LERP(fx, d001, d101); dx10 = LERP(fx, d010, d110); dx11 = LERP(fx, d011, d111); dxy0 = LERP(fy, dx00, dx10); dxy1 = LERP(fy, dx01, dx11); dxyz = LERP(fz, dxy0, dxy1); Output[OutChan] = (WORD) floor(dxyz + .5); }# undef LERP# undef DENS}#endif#ifndef USE_FLOAT// Trilinear interpolation (16 bits) - optimized versionvoid cmsTrilinearInterp16(WORD Input[], WORD Output[], WORD LutTable[], LPL16PARAMS p){#define DENS(i,j,k) (LutTable[(i)+(j)+(k)+OutChan])#define LERP(a,l,h) (WORD) (l+ ROUND_FIXED_TO_INT(((h-l)*a))) int OutChan, TotalOut; Fixed32 fx, fy, fz; register int rx, ry, rz; int x0, y0, z0; register int X0, X1, Y0, Y1, Z0, Z1; int d000, d001, d010, d011, d100, d101, d110, d111, dx00, dx01, dx10, dx11, dxy0, dxy1, dxyz; TotalOut = p -> nOutputs; fx = ToFixedDomain((int) Input[0] * p -> Domain); x0 = FIXED_TO_INT(fx); rx = FIXED_REST_TO_INT(fx); // Rest in 0..1.0 domain fy = ToFixedDomain((int) Input[1] * p -> Domain); y0 = FIXED_TO_INT(fy); ry = FIXED_REST_TO_INT(fy); fz = ToFixedDomain((int) Input[2] * p -> Domain); z0 = FIXED_TO_INT(fz); rz = FIXED_REST_TO_INT(fz); X0 = p -> opta3 * x0; X1 = X0 + (Input[0] == 0xFFFFU ? 0 : p->opta3); Y0 = p -> opta2 * y0; Y1 = Y0 + (Input[1] == 0xFFFFU ? 0 : p->opta2); Z0 = p -> opta1 * z0; Z1 = Z0 + (Input[2] == 0xFFFFU ? 0 : p->opta1); for (OutChan = 0; OutChan < TotalOut; OutChan++) { d000 = DENS(X0, Y0, Z0); d001 = DENS(X0, Y0, Z1); d010 = DENS(X0, Y1, Z0); d011 = DENS(X0, Y1, Z1); d100 = DENS(X1, Y0, Z0); d101 = DENS(X1, Y0, Z1); d110 = DENS(X1, Y1, Z0); d111 = DENS(X1, Y1, Z1); dx00 = LERP(rx, d000, d100); dx01 = LERP(rx, d001, d101); dx10 = LERP(rx, d010, d110); dx11 = LERP(rx, d011, d111); dxy0 = LERP(ry, dx00, dx10); dxy1 = LERP(ry, dx01, dx11); dxyz = LERP(rz, dxy0, dxy1); Output[OutChan] = (WORD) dxyz; }# undef LERP# undef DENS}#endif#ifdef USE_FLOAT#define DENS(X, Y, Z) (double) (LutTable[TotalOut*((Z)+clutPoints*((Y)+clutPoints*(X)))+OutChan])// Tetrahedral interpolation, using Sakamoto algorithm. void cmsTetrahedralInterp16(WORD Input[], WORD Output[], WORD LutTable[], LPL16PARAMS p){ double px, py, pz; int x0, y0, z0, x1, y1, z1; double fx, fy, fz; double c1=0, c2=0, c3=0; int clutPoints, OutChan, TotalOut; clutPoints = p -> Domain + 1; TotalOut = p -> nOutputs; px = ((double) Input[0] * p->Domain) / 65535.0; py = ((double) Input[1] * p->Domain) / 65535.0; pz = ((double) Input[2] * p->Domain) / 65535.0; x0 = (int) _cmsQuickFloor(px); fx = (px - (double) x0); y0 = (int) _cmsQuickFloor(py); fy = (py - (double) y0); z0 = (int) _cmsQuickFloor(pz); fz = (pz - (double) z0); x1 = x0 + (Input[0] != 0xFFFFU ? 1 : 0); y1 = y0 + (Input[1] != 0xFFFFU ? 1 : 0); z1 = z0 + (Input[2] != 0xFFFFU ? 1 : 0); for (OutChan=0; OutChan < TotalOut; OutChan++) { // These are the 6 Tetrahedral if (fx >= fy && fy >= fz) { c1 = DENS(x1, y0, z0) - DENS(x0, y0, z0); c2 = DENS(x1, y1, z0) - DENS(x1, y0, z0); c3 = DENS(x1, y1, z1) - DENS(x1, y1, z0); } else if (fx >= fz && fz >= fy) { c1 = DENS(x1, y0, z0) - DENS(x0, y0, z0); c2 = DENS(x1, y1, z1) - DENS(x1, y0, z1); c3 = DENS(x1, y0, z1) - DENS(x1, y0, z0); } else if (fz >= fx && fx >= fy) { c1 = DENS(x1, y0, z1) - DENS(x0, y0, z1); c2 = DENS(x1, y1, z1) - DENS(x1, y0, z1); c3 = DENS(x0, y0, z1) - DENS(x0, y0, z0); } else if (fy >= fx && fx >= fz) { c1 = DENS(x1, y1, z0) - DENS(x0, y1, z0); c2 = DENS(x0, y1, z0) - DENS(x0, y0, z0); c3 = DENS(x1, y1, z1) - DENS(x1, y1, z0); } else if (fy >= fz && fz >= fx) { c1 = DENS(x1, y1, z1) - DENS(x0, y1, z1); c2 = DENS(x0, y1, z0) - DENS(x0, y0, z0); c3 = DENS(x0, y1, z1) - DENS(x0, y1, z0); } else if (fz >= fy && fy >= fx) { c1 = DENS(x1, y1, z1) - DENS(x0, y1, z1); c2 = DENS(x0, y1, z1) - DENS(x0, y0, z1); c3 = DENS(x0, y0, z1) - DENS(x0, y0, z0); } else { c1 = c2 = c3 = 0; // assert(FALSE); } Output[OutChan] = (WORD) floor((double) DENS(x0,y0,z0) + c1 * fx + c2 * fy + c3 * fz + .5); }}#undef DENS#else#define DENS(i,j,k) (LutTable[(i)+(j)+(k)+OutChan])void cmsTetrahedralInterp16(WORD Input[], WORD Output[], WORD LutTable[], LPL16PARAMS p){ Fixed32 fx, fy, fz; Fixed32 rx, ry, rz; int x0, y0, z0; Fixed32 c1, c2, c3, Rest; int OutChan; register Fixed32 X0, X1, Y0, Y1, Z0, Z1; int TotalOut = p -> nOutputs; fx = ToFixedDomain((int) Input[0] * p -> Domain); fy = ToFixedDomain((int) Input[1] * p -> Domain); fz = ToFixedDomain((int) Input[2] * p -> Domain); x0 = FIXED_TO_INT(fx); y0 = FIXED_TO_INT(fy); z0 = FIXED_TO_INT(fz); rx = FIXED_REST_TO_INT(fx); ry = FIXED_REST_TO_INT(fy); rz = FIXED_REST_TO_INT(fz); X0 = p -> opta3 * x0; X1 = X0 + (Input[0] == 0xFFFFU ? 0 : p->opta3); Y0 = p -> opta2 * y0; Y1 = Y0 + (Input[1] == 0xFFFFU ? 0 : p->opta2); Z0 = p -> opta1 * z0; Z1 = Z0 + (Input[2] == 0xFFFFU ? 0 : p->opta1); // These are the 6 Tetrahedral for (OutChan=0; OutChan < TotalOut; OutChan++) { if (rx >= ry && ry >= rz) { c1 = DENS(X1, Y0, Z0) - DENS(X0, Y0, Z0); c2 = DENS(X1, Y1, Z0) - DENS(X1, Y0, Z0); c3 = DENS(X1, Y1, Z1) - DENS(X1, Y1, Z0); } else if (rx >= rz && rz >= ry) { c1 = DENS(X1, Y0, Z0) - DENS(X0, Y0, Z0); c2 = DENS(X1, Y1, Z1) - DENS(X1, Y0, Z1); c3 = DENS(X1, Y0, Z1) - DENS(X1, Y0, Z0); } else if (rz >= rx && rx >= ry) { c1 = DENS(X1, Y0, Z1) - DENS(X0, Y0, Z1); c2 = DENS(X1, Y1, Z1) - DENS(X1, Y0, Z1); c3 = DENS(X0, Y0, Z1) - DENS(X0, Y0, Z0); } else if (ry >= rx && rx >= rz) { c1 = DENS(X1, Y1, Z0) - DENS(X0, Y1, Z0); c2 = DENS(X0, Y1, Z0) - DENS(X0, Y0, Z0); c3 = DENS(X1, Y1, Z1) - DENS(X1, Y1, Z0); } else if (ry >= rz && rz >= rx) { c1 = DENS(X1, Y1, Z1) - DENS(X0, Y1, Z1); c2 = DENS(X0, Y1, Z0) - DENS(X0, Y0, Z0); c3 = DENS(X0, Y1, Z1) - DENS(X0, Y1, Z0); } else if (rz >= ry && ry >= rx) { c1 = DENS(X1, Y1, Z1) - DENS(X0, Y1, Z1); c2 = DENS(X0, Y1, Z1) - DENS(X0, Y0, Z1); c3 = DENS(X0, Y0, Z1) - DENS(X0, Y0, Z0); } else { c1 = c2 = c3 = 0; // assert(FALSE); } Rest = c1 * rx + c2 * ry + c3 * rz; // There is a lot of math hidden in this expression. The rest is in fixed domain // and the result in 0..ffff domain. So the complete expression should be // ROUND_FIXED_TO_INT(ToFixedDomain(Rest)) But that can be optimized as (Rest + 0x7FFF) / 0xFFFF Output[OutChan] = (WORD) (DENS(X0,Y0,Z0) + ((Rest + 0x7FFF) / 0xFFFF)); }}#undef DENS#endif// A optimized interpolation for 8-bit input.#define DENS(i,j,k) (LutTable[(i)+(j)+(k)+OutChan])void cmsTetrahedralInterp8(WORD Input[], WORD Output[], WORD LutTable[], LPL16PARAMS p){ int r, g, b; Fixed32 rx, ry, rz; Fixed32 c1, c2, c3, Rest; int OutChan; register Fixed32 X0, X1, Y0, Y1, Z0, Z1; int TotalOut = p -> nOutputs; register LPL8PARAMS p8 = p ->p8; r = Input[0] >> 8; g = Input[1] >> 8; b = Input[2] >> 8; X0 = X1 = p8->X0[r]; Y0 = Y1 = p8->Y0[g]; Z0 = Z1 = p8->Z0[b]; X1 += (r == 255) ? 0 : p ->opta3; Y1 += (g == 255) ? 0 : p ->opta2; Z1 += (b == 255) ? 0 : p ->opta1; rx = p8 ->rx[r]; ry = p8 ->ry[g]; rz = p8 ->rz[b]; // These are the 6 Tetrahedral for (OutChan=0; OutChan < TotalOut; OutChan++) { if (rx >= ry && ry >= rz) { c1 = DENS(X1, Y0, Z0) - DENS(X0, Y0, Z0); c2 = DENS(X1, Y1, Z0) - DENS(X1, Y0, Z0); c3 = DENS(X1, Y1, Z1) - DENS(X1, Y1, Z0); } else if (rx >= rz && rz >= ry) { c1 = DENS(X1, Y0, Z0) - DENS(X0, Y0, Z0); c2 = DENS(X1, Y1, Z1) - DENS(X1, Y0, Z1); c3 = DENS(X1, Y0, Z1) - DENS(X1, Y0, Z0); } else if (rz >= rx && rx >= ry) { c1 = DENS(X1, Y0, Z1) - DENS(X0, Y0, Z1); c2 = DENS(X1, Y1, Z1) - DENS(X1, Y0, Z1); c3 = DENS(X0, Y0, Z1) - DENS(X0, Y0, Z0); } else if (ry >= rx && rx >= rz) { c1 = DENS(X1, Y1, Z0) - DENS(X0, Y1, Z0); c2 = DENS(X0, Y1, Z0) - DENS(X0, Y0, Z0); c3 = DENS(X1, Y1, Z1) - DENS(X1, Y1, Z0); } else if (ry >= rz && rz >= rx) { c1 = DENS(X1, Y1, Z1) - DENS(X0, Y1, Z1); c2 = DENS(X0, Y1, Z0) - DENS(X0, Y0, Z0); c3 = DENS(X0, Y1, Z1) - DENS(X0, Y1, Z0); } else if (rz >= ry && ry >= rx) { c1 = DENS(X1, Y1, Z1) - DENS(X0, Y1, Z1); c2 = DENS(X0, Y1, Z1) - DENS(X0, Y0, Z1); c3 = DENS(X0, Y0, Z1) - DENS(X0, Y0, Z0); } else { c1 = c2 = c3 = 0; // assert(FALSE); } Rest = c1 * rx + c2 * ry + c3 * rz; Output[OutChan] = (WORD) (DENS(X0,Y0,Z0) + ((Rest + 0x7FFF) / 0xFFFF)); }}#undef DENS
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