/* * Copyright 2012 Google Inc. * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #include "SkSweepGradient.h" SkSweepGradient::SkSweepGradient(SkScalar cx, SkScalar cy, const SkColor colors[], const SkScalar pos[], int count, SkUnitMapper* mapper) : SkGradientShaderBase(colors, pos, count, SkShader::kClamp_TileMode, mapper), fCenter(SkPoint::Make(cx, cy)) { fPtsToUnit.setTranslate(-cx, -cy); } SkShader::BitmapType SkSweepGradient::asABitmap(SkBitmap* bitmap, SkMatrix* matrix, SkShader::TileMode* xy) const { if (bitmap) { this->getGradientTableBitmap(bitmap); } if (matrix) { *matrix = fPtsToUnit; } if (xy) { xy[0] = fTileMode; xy[1] = kClamp_TileMode; } return kSweep_BitmapType; } SkShader::GradientType SkSweepGradient::asAGradient(GradientInfo* info) const { if (info) { commonAsAGradient(info); info->fPoint[0] = fCenter; } return kSweep_GradientType; } SkSweepGradient::SkSweepGradient(SkFlattenableReadBuffer& buffer) : INHERITED(buffer), fCenter(buffer.readPoint()) { } void SkSweepGradient::flatten(SkFlattenableWriteBuffer& buffer) const { this->INHERITED::flatten(buffer); buffer.writePoint(fCenter); } #ifndef SK_SCALAR_IS_FLOAT #ifdef COMPUTE_SWEEP_TABLE #define PI 3.14159265 static bool gSweepTableReady; static uint8_t gSweepTable[65]; /* Our table stores precomputed values for atan: [0...1] -> [0..PI/4] We scale the results to [0..32] */ static const uint8_t* build_sweep_table() { if (!gSweepTableReady) { const int N = 65; const double DENOM = N - 1; for (int i = 0; i < N; i++) { double arg = i / DENOM; double v = atan(arg); int iv = (int)round(v * DENOM * 2 / PI); // printf("[%d] atan(%g) = %g %d\n", i, arg, v, iv); printf("%d, ", iv); gSweepTable[i] = iv; } gSweepTableReady = true; } return gSweepTable; } #else static const uint8_t gSweepTable[] = { 0, 1, 1, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 32, 32 }; static const uint8_t* build_sweep_table() { return gSweepTable; } #endif #endif // divide numer/denom, with a bias of 6bits. Assumes numer <= denom // and denom != 0. Since our table is 6bits big (+1), this is a nice fit. // Same as (but faster than) SkFixedDiv(numer, denom) >> 10 //unsigned div_64(int numer, int denom); #ifndef SK_SCALAR_IS_FLOAT static unsigned div_64(int numer, int denom) { SkASSERT(numer <= denom); SkASSERT(numer > 0); SkASSERT(denom > 0); int nbits = SkCLZ(numer); int dbits = SkCLZ(denom); int bits = 6 - nbits + dbits; SkASSERT(bits <= 6); if (bits < 0) { // detect underflow return 0; } denom <<= dbits - 1; numer <<= nbits - 1; unsigned result = 0; // do the first one if ((numer -= denom) >= 0) { result = 1; } else { numer += denom; } // Now fall into our switch statement if there are more bits to compute if (bits > 0) { // make room for the rest of the answer bits result <<= bits; switch (bits) { case 6: if ((numer = (numer << 1) - denom) >= 0) result |= 32; else numer += denom; case 5: if ((numer = (numer << 1) - denom) >= 0) result |= 16; else numer += denom; case 4: if ((numer = (numer << 1) - denom) >= 0) result |= 8; else numer += denom; case 3: if ((numer = (numer << 1) - denom) >= 0) result |= 4; else numer += denom; case 2: if ((numer = (numer << 1) - denom) >= 0) result |= 2; else numer += denom; case 1: default: // not strictly need, but makes GCC make better ARM code if ((numer = (numer << 1) - denom) >= 0) result |= 1; else numer += denom; } } return result; } #endif // Given x,y in the first quadrant, return 0..63 for the angle [0..90] #ifndef SK_SCALAR_IS_FLOAT static unsigned atan_0_90(SkFixed y, SkFixed x) { #ifdef SK_DEBUG { static bool gOnce; if (!gOnce) { gOnce = true; SkASSERT(div_64(55, 55) == 64); SkASSERT(div_64(128, 256) == 32); SkASSERT(div_64(2326528, 4685824) == 31); SkASSERT(div_64(753664, 5210112) == 9); SkASSERT(div_64(229376, 4882432) == 3); SkASSERT(div_64(2, 64) == 2); SkASSERT(div_64(1, 64) == 1); // test that we handle underflow correctly SkASSERT(div_64(12345, 0x54321234) == 0); } } #endif SkASSERT(y > 0 && x > 0); const uint8_t* table = build_sweep_table(); unsigned result; bool swap = (x < y); if (swap) { // first part of the atan(v) = PI/2 - atan(1/v) identity // since our div_64 and table want v <= 1, where v = y/x SkTSwap(x, y); } result = div_64(y, x); #ifdef SK_DEBUG { unsigned result2 = SkDivBits(y, x, 6); SkASSERT(result2 == result || (result == 1 && result2 == 0)); } #endif SkASSERT(result < SK_ARRAY_COUNT(gSweepTable)); result = table[result]; if (swap) { // complete the atan(v) = PI/2 - atan(1/v) identity result = 64 - result; // pin to 63 result -= result >> 6; } SkASSERT(result <= 63); return result; } #endif // returns angle in a circle [0..2PI) -> [0..255] #ifdef SK_SCALAR_IS_FLOAT static unsigned SkATan2_255(float y, float x) { // static const float g255Over2PI = 255 / (2 * SK_ScalarPI); static const float g255Over2PI = 40.584510488433314f; float result = sk_float_atan2(y, x); if (result < 0) { result += 2 * SK_ScalarPI; } SkASSERT(result >= 0); // since our value is always >= 0, we can cast to int, which is faster than // calling floorf() int ir = (int)(result * g255Over2PI); SkASSERT(ir >= 0 && ir <= 255); return ir; } #else static unsigned SkATan2_255(SkFixed y, SkFixed x) { if (x == 0) { if (y == 0) { return 0; } return y < 0 ? 192 : 64; } if (y == 0) { return x < 0 ? 128 : 0; } /* Find the right quadrant for x,y Since atan_0_90 only handles the first quadrant, we rotate x,y appropriately before calling it, and then add the right amount to account for the real quadrant. quadrant 0 : add 0 | x > 0 && y > 0 quadrant 1 : add 64 (90 degrees) | x < 0 && y > 0 quadrant 2 : add 128 (180 degrees) | x < 0 && y < 0 quadrant 3 : add 192 (270 degrees) | x > 0 && y < 0 map x<0 to (1 << 6) map y<0 to (3 << 6) add = map_x ^ map_y */ int xsign = x >> 31; int ysign = y >> 31; int add = ((-xsign) ^ (ysign & 3)) << 6; #ifdef SK_DEBUG if (0 == add) SkASSERT(x > 0 && y > 0); else if (64 == add) SkASSERT(x < 0 && y > 0); else if (128 == add) SkASSERT(x < 0 && y < 0); else if (192 == add) SkASSERT(x > 0 && y < 0); else SkDEBUGFAIL("bad value for add"); #endif /* This ^ trick makes x, y positive, and the swap<> handles quadrants where we need to rotate x,y by 90 or -90 */ x = (x ^ xsign) - xsign; y = (y ^ ysign) - ysign; if (add & 64) { // quads 1 or 3 need to swap x,y SkTSwap(x, y); } unsigned result = add + atan_0_90(y, x); SkASSERT(result < 256); return result; } #endif void SkSweepGradient::shadeSpan(int x, int y, SkPMColor* SK_RESTRICT dstC, int count) { SkMatrix::MapXYProc proc = fDstToIndexProc; const SkMatrix& matrix = fDstToIndex; const SkPMColor* SK_RESTRICT cache = this->getCache32(); SkPoint srcPt; if (fDstToIndexClass != kPerspective_MatrixClass) { proc(matrix, SkIntToScalar(x) + SK_ScalarHalf, SkIntToScalar(y) + SK_ScalarHalf, &srcPt); SkScalar dx, fx = srcPt.fX; SkScalar dy, fy = srcPt.fY; if (fDstToIndexClass == kFixedStepInX_MatrixClass) { SkFixed storage[2]; (void)matrix.fixedStepInX(SkIntToScalar(y) + SK_ScalarHalf, &storage[0], &storage[1]); dx = SkFixedToScalar(storage[0]); dy = SkFixedToScalar(storage[1]); } else { SkASSERT(fDstToIndexClass == kLinear_MatrixClass); dx = matrix.getScaleX(); dy = matrix.getSkewY(); } for (; count > 0; --count) { *dstC++ = cache[SkATan2_255(fy, fx)]; fx += dx; fy += dy; } } else { // perspective case for (int stop = x + count; x < stop; x++) { proc(matrix, SkIntToScalar(x) + SK_ScalarHalf, SkIntToScalar(y) + SK_ScalarHalf, &srcPt); *dstC++ = cache[SkATan2_255(srcPt.fY, srcPt.fX)]; } } } void SkSweepGradient::shadeSpan16(int x, int y, uint16_t* SK_RESTRICT dstC, int count) { SkMatrix::MapXYProc proc = fDstToIndexProc; const SkMatrix& matrix = fDstToIndex; const uint16_t* SK_RESTRICT cache = this->getCache16(); int toggle = ((x ^ y) & 1) * kDitherStride16; SkPoint srcPt; if (fDstToIndexClass != kPerspective_MatrixClass) { proc(matrix, SkIntToScalar(x) + SK_ScalarHalf, SkIntToScalar(y) + SK_ScalarHalf, &srcPt); SkScalar dx, fx = srcPt.fX; SkScalar dy, fy = srcPt.fY; if (fDstToIndexClass == kFixedStepInX_MatrixClass) { SkFixed storage[2]; (void)matrix.fixedStepInX(SkIntToScalar(y) + SK_ScalarHalf, &storage[0], &storage[1]); dx = SkFixedToScalar(storage[0]); dy = SkFixedToScalar(storage[1]); } else { SkASSERT(fDstToIndexClass == kLinear_MatrixClass); dx = matrix.getScaleX(); dy = matrix.getSkewY(); } for (; count > 0; --count) { int index = SkATan2_255(fy, fx) >> (8 - kCache16Bits); *dstC++ = cache[toggle + index]; toggle ^= kDitherStride16; fx += dx; fy += dy; } } else { // perspective case for (int stop = x + count; x < stop; x++) { proc(matrix, SkIntToScalar(x) + SK_ScalarHalf, SkIntToScalar(y) + SK_ScalarHalf, &srcPt); int index = SkATan2_255(srcPt.fY, srcPt.fX); index >>= (8 - kCache16Bits); *dstC++ = cache[toggle + index]; toggle ^= kDitherStride16; } } } ///////////////////////////////////////////////////////////////////// class GrGLSweepGradient : public GrGLGradientStage { public: GrGLSweepGradient(const GrProgramStageFactory& factory, const GrCustomStage&) : INHERITED (factory) { } virtual ~GrGLSweepGradient() { } virtual void emitVS(GrGLShaderBuilder* builder, const char* vertexCoords) SK_OVERRIDE { } virtual void emitFS(GrGLShaderBuilder* builder, const char* outputColor, const char* inputColor, const char* samplerName) SK_OVERRIDE; static StageKey GenKey(const GrCustomStage& s) { return 0; } private: typedef GrGLGradientStage INHERITED; }; ///////////////////////////////////////////////////////////////////// class GrSweepGradient : public GrGradientEffect { public: GrSweepGradient(GrContext* ctx, const SkSweepGradient& shader, GrSamplerState* sampler) : INHERITED(ctx, shader, sampler) { } virtual ~GrSweepGradient() { } static const char* Name() { return "Sweep Gradient"; } virtual const GrProgramStageFactory& getFactory() const SK_OVERRIDE { return GrTProgramStageFactory::getInstance(); } typedef GrGLSweepGradient GLProgramStage; protected: typedef GrGradientEffect INHERITED; }; ///////////////////////////////////////////////////////////////////// void GrGLSweepGradient::emitFS(GrGLShaderBuilder* builder, const char* outputColor, const char* inputColor, const char* samplerName) { SkString t; t.printf("atan(- %s.y, - %s.x) * 0.1591549430918 + 0.5", builder->fSampleCoords.c_str(), builder->fSampleCoords.c_str()); this->emitColorLookup(builder, t.c_str(), outputColor, samplerName); } ///////////////////////////////////////////////////////////////////// GrCustomStage* SkSweepGradient::asNewCustomStage(GrContext* context, GrSamplerState* sampler) const { sampler->matrix()->preConcat(fPtsToUnit); sampler->textureParams()->setTileModeX(fTileMode); sampler->textureParams()->setTileModeY(kClamp_TileMode); sampler->textureParams()->setBilerp(true); return SkNEW_ARGS(GrSweepGradient, (context, *this, sampler)); }