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Unified Diff: skia/corecg/SkMath.cpp

Issue 113827: Remove the remainder of the skia source code from the Chromium repo.... (Closed) Base URL: svn://chrome-svn/chrome/trunk/src/
Patch Set: Created 11 years, 7 months ago
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Index: skia/corecg/SkMath.cpp
===================================================================
--- skia/corecg/SkMath.cpp (revision 16859)
+++ skia/corecg/SkMath.cpp (working copy)
@@ -1,932 +0,0 @@
-/*
- * Copyright (C) 2006-2008 The Android Open Source Project
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-#include "SkMath.h"
-#include "SkCordic.h"
-#include "SkFloatBits.h"
-#include "SkFloatingPoint.h"
-#include "Sk64.h"
-#include "SkScalar.h"
-
-#ifdef SK_SCALAR_IS_FLOAT
- const uint32_t gIEEENotANumber = 0x7FFFFFFF;
- const uint32_t gIEEEInfinity = 0x7F800000;
-#endif
-
-#define sub_shift(zeros, x, n) \
- zeros -= n; \
- x >>= n
-
-int SkCLZ_portable(uint32_t x) {
- if (x == 0) {
- return 32;
- }
-
-#ifdef SK_CPU_HAS_CONDITIONAL_INSTR
- int zeros = 31;
- if (x & 0xFFFF0000) {
- sub_shift(zeros, x, 16);
- }
- if (x & 0xFF00) {
- sub_shift(zeros, x, 8);
- }
- if (x & 0xF0) {
- sub_shift(zeros, x, 4);
- }
- if (x & 0xC) {
- sub_shift(zeros, x, 2);
- }
- if (x & 0x2) {
- sub_shift(zeros, x, 1);
- }
-#else
- int zeros = ((x >> 16) - 1) >> 31 << 4;
- x <<= zeros;
-
- int nonzero = ((x >> 24) - 1) >> 31 << 3;
- zeros += nonzero;
- x <<= nonzero;
-
- nonzero = ((x >> 28) - 1) >> 31 << 2;
- zeros += nonzero;
- x <<= nonzero;
-
- nonzero = ((x >> 30) - 1) >> 31 << 1;
- zeros += nonzero;
- x <<= nonzero;
-
- zeros += (~x) >> 31;
-#endif
-
- return zeros;
-}
-
-int32_t SkMulDiv(int32_t numer1, int32_t numer2, int32_t denom) {
- SkASSERT(denom);
-
- Sk64 tmp;
- tmp.setMul(numer1, numer2);
- tmp.div(denom, Sk64::kTrunc_DivOption);
- return tmp.get32();
-}
-
-int32_t SkMulShift(int32_t a, int32_t b, unsigned shift) {
- int sign = SkExtractSign(a ^ b);
-
- if (shift > 63) {
- return sign;
- }
-
- a = SkAbs32(a);
- b = SkAbs32(b);
-
- uint32_t ah = a >> 16;
- uint32_t al = a & 0xFFFF;
- uint32_t bh = b >> 16;
- uint32_t bl = b & 0xFFFF;
-
- uint32_t A = ah * bh;
- uint32_t B = ah * bl + al * bh;
- uint32_t C = al * bl;
-
- /* [ A ]
- [ B ]
- [ C ]
- */
- uint32_t lo = C + (B << 16);
- int32_t hi = A + (B >> 16) + (lo < C);
-
- if (sign < 0) {
- hi = -hi - Sk32ToBool(lo);
- lo = 0 - lo;
- }
-
- if (shift == 0) {
-#ifdef SK_DEBUGx
- SkASSERT(((int32_t)lo >> 31) == hi);
-#endif
- return lo;
- } else if (shift >= 32) {
- return hi >> (shift - 32);
- } else {
-#ifdef SK_DEBUGx
- int32_t tmp = hi >> shift;
- SkASSERT(tmp == 0 || tmp == -1);
-#endif
- // we want (hi << (32 - shift)) | (lo >> shift) but rounded
- int roundBit = (lo >> (shift - 1)) & 1;
- return ((hi << (32 - shift)) | (lo >> shift)) + roundBit;
- }
-}
-
-SkFixed SkFixedMul_portable(SkFixed a, SkFixed b) {
-#if 0
- Sk64 tmp;
-
- tmp.setMul(a, b);
- tmp.shiftRight(16);
- return tmp.fLo;
-#elif defined(SkLONGLONG)
- return (SkLONGLONG)a * b >> 16;
-#else
- int sa = SkExtractSign(a);
- int sb = SkExtractSign(b);
- // now make them positive
- a = SkApplySign(a, sa);
- b = SkApplySign(b, sb);
-
- uint32_t ah = a >> 16;
- uint32_t al = a & 0xFFFF;
- uint32_t bh = b >> 16;
- uint32_t bl = b & 0xFFFF;
-
- uint32_t R = ah * b + al * bh + (al * bl >> 16);
-
- return SkApplySign(R, sa ^ sb);
-#endif
-}
-
-SkFract SkFractMul_portable(SkFract a, SkFract b) {
-#if 0
- Sk64 tmp;
- tmp.setMul(a, b);
- return tmp.getFract();
-#elif defined(SkLONGLONG)
- return (SkLONGLONG)a * b >> 30;
-#else
- int sa = SkExtractSign(a);
- int sb = SkExtractSign(b);
- // now make them positive
- a = SkApplySign(a, sa);
- b = SkApplySign(b, sb);
-
- uint32_t ah = a >> 16;
- uint32_t al = a & 0xFFFF;
- uint32_t bh = b >> 16;
- uint32_t bl = b & 0xFFFF;
-
- uint32_t A = ah * bh;
- uint32_t B = ah * bl + al * bh;
- uint32_t C = al * bl;
-
- /* [ A ]
- [ B ]
- [ C ]
- */
- uint32_t Lo = C + (B << 16);
- uint32_t Hi = A + (B >>16) + (Lo < C);
-
- SkASSERT((Hi >> 29) == 0); // else overflow
-
- int32_t R = (Hi << 2) + (Lo >> 30);
-
- return SkApplySign(R, sa ^ sb);
-#endif
-}
-
-int SkFixedMulCommon(SkFixed a, int b, int bias) {
- // this function only works if b is 16bits
- SkASSERT(b == (int16_t)b);
- SkASSERT(b >= 0);
-
- int sa = SkExtractSign(a);
- a = SkApplySign(a, sa);
- uint32_t ah = a >> 16;
- uint32_t al = a & 0xFFFF;
- uint32_t R = ah * b + ((al * b + bias) >> 16);
- return SkApplySign(R, sa);
-}
-
-#ifdef SK_DEBUGx
- #define TEST_FASTINVERT
-#endif
-
-SkFixed SkFixedFastInvert(SkFixed x) {
-/* Adapted (stolen) from gglRecip()
-*/
-
- if (x == SK_Fixed1) {
- return SK_Fixed1;
- }
-
- int sign = SkExtractSign(x);
- uint32_t a = SkApplySign(x, sign);
-
- if (a <= 2) {
- return SkApplySign(SK_MaxS32, sign);
- }
-
-#ifdef TEST_FASTINVERT
- SkFixed orig = a;
- uint32_t slow = SkFixedDiv(SK_Fixed1, a);
-#endif
-
- // normalize a
- int lz = SkCLZ(a);
- a = a << lz >> 16;
-
- // compute 1/a approximation (0.5 <= a < 1.0)
- uint32_t r = 0x17400 - a; // (2.90625 (~2.914) - 2*a) >> 1
-
- // Newton-Raphson iteration:
- // x = r*(2 - a*r) = ((r/2)*(1 - a*r/2))*4
- r = ( (0x10000 - ((a*r)>>16)) * r ) >> 15;
- r = ( (0x10000 - ((a*r)>>16)) * r ) >> (30 - lz);
-
-#ifdef TEST_FASTINVERT
- SkDebugf("SkFixedFastInvert(%x %g) = %x %g Slow[%x %g]\n",
- orig, orig/65536.,
- r, r/65536.,
- slow, slow/65536.);
-#endif
-
- return SkApplySign(r, sign);
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-#define DIVBITS_ITER(n) \
- case n: \
- if ((numer = (numer << 1) - denom) >= 0) \
- result |= 1 << (n - 1); else numer += denom
-
-int32_t SkDivBits(int32_t numer, int32_t denom, int shift_bias) {
- SkASSERT(denom != 0);
- if (numer == 0) {
- return 0;
- }
-
- // make numer and denom positive, and sign hold the resulting sign
- int32_t sign = SkExtractSign(numer ^ denom);
- numer = SkAbs32(numer);
- denom = SkAbs32(denom);
-
- int nbits = SkCLZ(numer) - 1;
- int dbits = SkCLZ(denom) - 1;
- int bits = shift_bias - nbits + dbits;
-
- if (bits < 0) { // answer will underflow
- return 0;
- }
- if (bits > 31) { // answer will overflow
- return SkApplySign(SK_MaxS32, sign);
- }
-
- denom <<= dbits;
- numer <<= nbits;
-
- SkFixed 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) {
- DIVBITS_ITER(31); DIVBITS_ITER(30); DIVBITS_ITER(29);
- DIVBITS_ITER(28); DIVBITS_ITER(27); DIVBITS_ITER(26);
- DIVBITS_ITER(25); DIVBITS_ITER(24); DIVBITS_ITER(23);
- DIVBITS_ITER(22); DIVBITS_ITER(21); DIVBITS_ITER(20);
- DIVBITS_ITER(19); DIVBITS_ITER(18); DIVBITS_ITER(17);
- DIVBITS_ITER(16); DIVBITS_ITER(15); DIVBITS_ITER(14);
- DIVBITS_ITER(13); DIVBITS_ITER(12); DIVBITS_ITER(11);
- DIVBITS_ITER(10); DIVBITS_ITER( 9); DIVBITS_ITER( 8);
- DIVBITS_ITER( 7); DIVBITS_ITER( 6); DIVBITS_ITER( 5);
- DIVBITS_ITER( 4); DIVBITS_ITER( 3); DIVBITS_ITER( 2);
- // we merge these last two together, makes GCC make better ARM
- default:
- DIVBITS_ITER( 1);
- }
- }
-
- if (result < 0) {
- result = SK_MaxS32;
- }
- return SkApplySign(result, sign);
-}
-
-/* mod(float numer, float denom) seems to always return the sign
- of the numer, so that's what we do too
-*/
-SkFixed SkFixedMod(SkFixed numer, SkFixed denom) {
- int sn = SkExtractSign(numer);
- int sd = SkExtractSign(denom);
-
- numer = SkApplySign(numer, sn);
- denom = SkApplySign(denom, sd);
-
- if (numer < denom) {
- return SkApplySign(numer, sn);
- } else if (numer == denom) {
- return 0;
- } else {
- SkFixed div = SkFixedDiv(numer, denom);
- return SkApplySign(SkFixedMul(denom, div & 0xFFFF), sn);
- }
-}
-
-/* www.worldserver.com/turk/computergraphics/FixedSqrt.pdf
-*/
-int32_t SkSqrtBits(int32_t x, int count) {
- SkASSERT(x >= 0 && count > 0 && (unsigned)count <= 30);
-
- uint32_t root = 0;
- uint32_t remHi = 0;
- uint32_t remLo = x;
-
- do {
- root <<= 1;
-
- remHi = (remHi<<2) | (remLo>>30);
- remLo <<= 2;
-
- uint32_t testDiv = (root << 1) + 1;
- if (remHi >= testDiv) {
- remHi -= testDiv;
- root++;
- }
- } while (--count >= 0);
-
- return root;
-}
-
-int32_t SkCubeRootBits(int32_t value, int bits) {
- SkASSERT(bits > 0);
-
- int sign = SkExtractSign(value);
- value = SkApplySign(value, sign);
-
- uint32_t root = 0;
- uint32_t curr = (uint32_t)value >> 30;
- value <<= 2;
-
- do {
- root <<= 1;
- uint32_t guess = root * root + root;
- guess = (guess << 1) + guess; // guess *= 3
- if (guess < curr) {
- curr -= guess + 1;
- root |= 1;
- }
- curr = (curr << 3) | ((uint32_t)value >> 29);
- value <<= 3;
- } while (--bits);
-
- return SkApplySign(root, sign);
-}
-
-SkFixed SkFixedMean(SkFixed a, SkFixed b) {
- Sk64 tmp;
-
- tmp.setMul(a, b);
- return tmp.getSqrt();
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-#ifdef SK_SCALAR_IS_FLOAT
-float SkScalarSinCos(float radians, float* cosValue) {
- float sinValue = sk_float_sin(radians);
-
- if (cosValue) {
- *cosValue = sk_float_cos(radians);
- if (SkScalarNearlyZero(*cosValue)) {
- *cosValue = 0;
- }
- }
-
- if (SkScalarNearlyZero(sinValue)) {
- sinValue = 0;
- }
- return sinValue;
-}
-#endif
-
-#define INTERP_SINTABLE
-#define BUILD_TABLE_AT_RUNTIMEx
-
-#define kTableSize 256
-
-#ifdef BUILD_TABLE_AT_RUNTIME
- static uint16_t gSkSinTable[kTableSize];
-
- static void build_sintable(uint16_t table[]) {
- for (int i = 0; i < kTableSize; i++) {
- double rad = i * 3.141592653589793 / (2*kTableSize);
- double val = sin(rad);
- int ival = (int)(val * SK_Fixed1);
- table[i] = SkToU16(ival);
- }
- }
-#else
- #include "SkSinTable.h"
-#endif
-
-#define SK_Fract1024SizeOver2PI 0x28BE60 /* floatToFract(1024 / 2PI) */
-
-#ifdef INTERP_SINTABLE
-static SkFixed interp_table(const uint16_t table[], int index, int partial255) {
- SkASSERT((unsigned)index < kTableSize);
- SkASSERT((unsigned)partial255 <= 255);
-
- SkFixed lower = table[index];
- SkFixed upper = (index == kTableSize - 1) ? SK_Fixed1 : table[index + 1];
-
- SkASSERT(lower < upper);
- SkASSERT(lower >= 0);
- SkASSERT(upper <= SK_Fixed1);
-
- partial255 += (partial255 >> 7);
- return lower + ((upper - lower) * partial255 >> 8);
-}
-#endif
-
-SkFixed SkFixedSinCos(SkFixed radians, SkFixed* cosValuePtr) {
- SkASSERT(SK_ARRAY_COUNT(gSkSinTable) == kTableSize);
-
-#ifdef BUILD_TABLE_AT_RUNTIME
- static bool gFirstTime = true;
- if (gFirstTime) {
- build_sintable(gSinTable);
- gFirstTime = false;
- }
-#endif
-
- // make radians positive
- SkFixed sinValue, cosValue;
- int32_t cosSign = 0;
- int32_t sinSign = SkExtractSign(radians);
- radians = SkApplySign(radians, sinSign);
- // scale it to 0...1023 ...
-
-#ifdef INTERP_SINTABLE
- radians = SkMulDiv(radians, 2 * kTableSize * 256, SK_FixedPI);
- int findex = radians & (kTableSize * 256 - 1);
- int index = findex >> 8;
- int partial = findex & 255;
- sinValue = interp_table(gSkSinTable, index, partial);
-
- findex = kTableSize * 256 - findex - 1;
- index = findex >> 8;
- partial = findex & 255;
- cosValue = interp_table(gSkSinTable, index, partial);
-
- int quad = ((unsigned)radians / (kTableSize * 256)) & 3;
-#else
- radians = SkMulDiv(radians, 2 * kTableSize, SK_FixedPI);
- int index = radians & (kTableSize - 1);
-
- if (index == 0) {
- sinValue = 0;
- cosValue = SK_Fixed1;
- } else {
- sinValue = gSkSinTable[index];
- cosValue = gSkSinTable[kTableSize - index];
- }
- int quad = ((unsigned)radians / kTableSize) & 3;
-#endif
-
- if (quad & 1) {
- SkTSwap<SkFixed>(sinValue, cosValue);
- }
- if (quad & 2) {
- sinSign = ~sinSign;
- }
- if (((quad - 1) & 2) == 0) {
- cosSign = ~cosSign;
- }
-
- // restore the sign for negative angles
- sinValue = SkApplySign(sinValue, sinSign);
- cosValue = SkApplySign(cosValue, cosSign);
-
-#ifdef SK_DEBUG
- if (1) {
- SkFixed sin2 = SkFixedMul(sinValue, sinValue);
- SkFixed cos2 = SkFixedMul(cosValue, cosValue);
- int diff = cos2 + sin2 - SK_Fixed1;
- SkASSERT(SkAbs32(diff) <= 7);
- }
-#endif
-
- if (cosValuePtr) {
- *cosValuePtr = cosValue;
- }
- return sinValue;
-}
-
-///////////////////////////////////////////////////////////////////////////////
-
-SkFixed SkFixedTan(SkFixed radians) { return SkCordicTan(radians); }
-SkFixed SkFixedASin(SkFixed x) { return SkCordicASin(x); }
-SkFixed SkFixedACos(SkFixed x) { return SkCordicACos(x); }
-SkFixed SkFixedATan2(SkFixed y, SkFixed x) { return SkCordicATan2(y, x); }
-SkFixed SkFixedExp(SkFixed x) { return SkCordicExp(x); }
-SkFixed SkFixedLog(SkFixed x) { return SkCordicLog(x); }
-
-///////////////////////////////////////////////////////////////////////////////
-///////////////////////////////////////////////////////////////////////////////
-
-#ifdef SK_DEBUG
-
-#include "SkRandom.h"
-
-#ifdef SkLONGLONG
-static int symmetric_fixmul(int a, int b) {
- int sa = SkExtractSign(a);
- int sb = SkExtractSign(b);
-
- a = SkApplySign(a, sa);
- b = SkApplySign(b, sb);
-
-#if 1
- int c = (int)(((SkLONGLONG)a * b) >> 16);
-
- return SkApplySign(c, sa ^ sb);
-#else
- SkLONGLONG ab = (SkLONGLONG)a * b;
- if (sa ^ sb) {
- ab = -ab;
- }
- return ab >> 16;
-#endif
-}
-#endif
-
-#include "SkPoint.h"
-
-#ifdef SK_SUPPORT_UNITTEST
-static void check_length(const SkPoint& p, SkScalar targetLen) {
- float x = SkScalarToFloat(p.fX);
- float y = SkScalarToFloat(p.fY);
- float len = sk_float_sqrt(x*x + y*y);
-
- len /= SkScalarToFloat(targetLen);
-
- SkASSERT(len > 0.999f && len < 1.001f);
-}
-#endif
-
-#ifdef SK_CAN_USE_FLOAT
-
-static float nextFloat(SkRandom& rand) {
- SkFloatIntUnion data;
- data.fSignBitInt = rand.nextU();
- return data.fFloat;
-}
-
-/* returns true if a == b as resulting from (int)x. Since it is undefined
- what to do if the float exceeds 2^32-1, we check for that explicitly.
-*/
-static bool equal_float_native_skia(float x, uint32_t ni, uint32_t si) {
- if (!(x == x)) { // NAN
- return si == SK_MaxS32 || si == SK_MinS32;
- }
- // for out of range, C is undefined, but skia always should return NaN32
- if (x > SK_MaxS32) {
- return si == SK_MaxS32;
- }
- if (x < -SK_MaxS32) {
- return si == SK_MinS32;
- }
- return si == ni;
-}
-
-static void assert_float_equal(const char op[], float x, uint32_t ni,
- uint32_t si) {
- if (!equal_float_native_skia(x, ni, si)) {
- SkDebugf("-- %s float %g bits %x native %x skia %x\n", op, x, ni, si);
- SkASSERT(!"oops");
- }
-}
-
-static void test_float_cast(float x) {
- int ix = (int)x;
- int iix = SkFloatToIntCast(x);
- assert_float_equal("cast", x, ix, iix);
-}
-
-static void test_float_floor(float x) {
- int ix = (int)floor(x);
- int iix = SkFloatToIntFloor(x);
- assert_float_equal("floor", x, ix, iix);
-}
-
-static void test_float_round(float x) {
- double xx = x + 0.5; // need intermediate double to avoid temp loss
- int ix = (int)floor(xx);
- int iix = SkFloatToIntRound(x);
- assert_float_equal("round", x, ix, iix);
-}
-
-static void test_float_ceil(float x) {
- int ix = (int)ceil(x);
- int iix = SkFloatToIntCeil(x);
- assert_float_equal("ceil", x, ix, iix);
-}
-
-static void test_float_conversions(float x) {
- test_float_cast(x);
- test_float_floor(x);
- test_float_round(x);
- test_float_ceil(x);
-}
-
-static void test_int2float(int ival) {
- float x0 = (float)ival;
- float x1 = SkIntToFloatCast(ival);
- float x2 = SkIntToFloatCast_NoOverflowCheck(ival);
- SkASSERT(x0 == x1);
- SkASSERT(x0 == x2);
-}
-
-static void unittest_fastfloat() {
- SkRandom rand;
- size_t i;
-
- static const float gFloats[] = {
- 0.f, 1.f, 0.5f, 0.499999f, 0.5000001f, 1.f/3,
- 0.000000001f, 1000000000.f, // doesn't overflow
- 0.0000000001f, 10000000000.f // does overflow
- };
- for (i = 0; i < SK_ARRAY_COUNT(gFloats); i++) {
-// SkDebugf("---- test floats %g %d\n", gFloats[i], (int)gFloats[i]);
- test_float_conversions(gFloats[i]);
- test_float_conversions(-gFloats[i]);
- }
-
- for (int outer = 0; outer < 100; outer++) {
- rand.setSeed(outer);
- for (i = 0; i < 100000; i++) {
- float x = nextFloat(rand);
- test_float_conversions(x);
- }
-
- test_int2float(0);
- test_int2float(1);
- test_int2float(-1);
- for (i = 0; i < 100000; i++) {
- // for now only test ints that are 24bits or less, since we don't
- // round (down) large ints the same as IEEE...
- int ival = rand.nextU() & 0xFFFFFF;
- test_int2float(ival);
- test_int2float(-ival);
- }
- }
-}
-
-#endif
-
-static void test_muldiv255() {
- for (int a = 0; a <= 255; a++) {
- for (int b = 0; b <= 255; b++) {
- int ab = a * b;
- float s = ab / 255.0f;
- int round = (int)floorf(s + 0.5f);
- int trunc = (int)floorf(s);
-
- int iround = SkMulDiv255Round(a, b);
- int itrunc = SkMulDiv255Trunc(a, b);
-
- SkASSERT(iround == round);
- SkASSERT(itrunc == trunc);
-
- SkASSERT(itrunc <= iround);
- SkASSERT(iround <= a);
- SkASSERT(iround <= b);
- }
- }
-}
-
-void SkMath::UnitTest() {
-#ifdef SK_SUPPORT_UNITTEST
- int i;
- int32_t x;
- SkRandom rand;
-
- SkToS8(127); SkToS8(-128); SkToU8(255);
- SkToS16(32767); SkToS16(-32768); SkToU16(65535);
- SkToS32(2*1024*1024); SkToS32(-2*1024*1024); SkToU32(4*1024*1024);
-
- SkCordic_UnitTest();
-
- // these should assert
-#if 0
- SkToS8(128);
- SkToS8(-129);
- SkToU8(256);
- SkToU8(-5);
-
- SkToS16(32768);
- SkToS16(-32769);
- SkToU16(65536);
- SkToU16(-5);
-
- if (sizeof(size_t) > 4) {
- SkToS32(4*1024*1024);
- SkToS32(-4*1024*1024);
- SkToU32(5*1024*1024);
- SkToU32(-5);
- }
-#endif
-
- test_muldiv255();
-
-#ifdef SK_DEBUG
- {
- SkScalar x = SK_ScalarNaN;
- SkASSERT(SkScalarIsNaN(x));
- }
-#endif
-
- for (i = 1; i <= 10; i++) {
- x = SkCubeRootBits(i*i*i, 11);
- SkASSERT(x == i);
- }
-
- x = SkFixedSqrt(SK_Fixed1);
- SkASSERT(x == SK_Fixed1);
- x = SkFixedSqrt(SK_Fixed1/4);
- SkASSERT(x == SK_Fixed1/2);
- x = SkFixedSqrt(SK_Fixed1*4);
- SkASSERT(x == SK_Fixed1*2);
-
- x = SkFractSqrt(SK_Fract1);
- SkASSERT(x == SK_Fract1);
- x = SkFractSqrt(SK_Fract1/4);
- SkASSERT(x == SK_Fract1/2);
- x = SkFractSqrt(SK_Fract1/16);
- SkASSERT(x == SK_Fract1/4);
-
- for (i = 1; i < 100; i++) {
- x = SkFixedSqrt(SK_Fixed1 * i * i);
- SkASSERT(x == SK_Fixed1 * i);
- }
-
- for (i = 0; i < 1000; i++) {
- int value = rand.nextS16();
- int max = rand.nextU16();
-
- int clamp = SkClampMax(value, max);
- int clamp2 = value < 0 ? 0 : (value > max ? max : value);
- SkASSERT(clamp == clamp2);
- }
-
- for (i = 0; i < 100000; i++) {
- SkPoint p;
-
- p.setLength(rand.nextS(), rand.nextS(), SK_Scalar1);
- check_length(p, SK_Scalar1);
- p.setLength(rand.nextS() >> 13, rand.nextS() >> 13, SK_Scalar1);
- check_length(p, SK_Scalar1);
- }
-
- {
- SkFixed result = SkFixedDiv(100, 100);
- SkASSERT(result == SK_Fixed1);
- result = SkFixedDiv(1, SK_Fixed1);
- SkASSERT(result == 1);
- }
-
-#ifdef SK_CAN_USE_FLOAT
- unittest_fastfloat();
-#endif
-
-#ifdef SkLONGLONG
- for (i = 0; i < 100000; i++) {
- SkFixed numer = rand.nextS();
- SkFixed denom = rand.nextS();
- SkFixed result = SkFixedDiv(numer, denom);
- SkLONGLONG check = ((SkLONGLONG)numer << 16) / denom;
-
- (void)SkCLZ(numer);
- (void)SkCLZ(denom);
-
- SkASSERT(result != (SkFixed)SK_NaN32);
- if (check > SK_MaxS32) {
- check = SK_MaxS32;
- } else if (check < -SK_MaxS32) {
- check = SK_MinS32;
- }
- SkASSERT(result == (int32_t)check);
-
- result = SkFractDiv(numer, denom);
- check = ((SkLONGLONG)numer << 30) / denom;
-
- SkASSERT(result != (SkFixed)SK_NaN32);
- if (check > SK_MaxS32) {
- check = SK_MaxS32;
- } else if (check < -SK_MaxS32) {
- check = SK_MinS32;
- }
- SkASSERT(result == (int32_t)check);
-
- // make them <= 2^24, so we don't overflow in fixmul
- numer = numer << 8 >> 8;
- denom = denom << 8 >> 8;
-
- result = SkFixedMul(numer, denom);
- SkFixed r2 = symmetric_fixmul(numer, denom);
-// SkASSERT(result == r2);
-
- result = SkFixedMul(numer, numer);
- r2 = SkFixedSquare(numer);
- SkASSERT(result == r2);
-
-#ifdef SK_CAN_USE_FLOAT
- if (numer >= 0 && denom >= 0) {
- SkFixed mean = SkFixedMean(numer, denom);
- float fm = sk_float_sqrt(sk_float_abs(SkFixedToFloat(numer) * SkFixedToFloat(denom)));
- SkFixed mean2 = SkFloatToFixed(fm);
- int diff = SkAbs32(mean - mean2);
- SkASSERT(diff <= 1);
- }
-
- {
- SkFixed mod = SkFixedMod(numer, denom);
- float n = SkFixedToFloat(numer);
- float d = SkFixedToFloat(denom);
- float m = sk_float_mod(n, d);
-#if 0
- SkDebugf("%g mod %g = %g [%g]\n",
- SkFixedToFloat(numer), SkFixedToFloat(denom),
- SkFixedToFloat(mod), m);
-#endif
- SkASSERT(mod == 0 || (mod < 0) == (m < 0)); // ensure the same sign
- int diff = SkAbs32(mod - SkFloatToFixed(m));
- SkASSERT((diff >> 7) == 0);
- }
-#endif
- }
-#endif
-
-#ifdef SK_CAN_USE_FLOAT
- for (i = 0; i < 100000; i++) {
- SkFract x = rand.nextU() >> 1;
- double xx = (double)x / SK_Fract1;
- SkFract xr = SkFractSqrt(x);
- SkFract check = SkFloatToFract(sqrt(xx));
- SkASSERT(xr == check || xr == check-1 || xr == check+1);
-
- xr = SkFixedSqrt(x);
- xx = (double)x / SK_Fixed1;
- check = SkFloatToFixed(sqrt(xx));
- SkASSERT(xr == check || xr == check-1);
-
- xr = SkSqrt32(x);
- xx = (double)x;
- check = (int32_t)sqrt(xx);
- SkASSERT(xr == check || xr == check-1);
- }
-#endif
-
-#if !defined(SK_SCALAR_IS_FLOAT) && defined(SK_CAN_USE_FLOAT)
- {
- SkFixed s, c;
- s = SkFixedSinCos(0, &c);
- SkASSERT(s == 0);
- SkASSERT(c == SK_Fixed1);
- }
-
- int maxDiff = 0;
- for (i = 0; i < 10000; i++) {
- SkFixed rads = rand.nextS() >> 10;
- double frads = SkFixedToFloat(rads);
-
- SkFixed s, c;
- s = SkScalarSinCos(rads, &c);
-
- double fs = sin(frads);
- double fc = cos(frads);
-
- SkFixed is = SkFloatToFixed(fs);
- SkFixed ic = SkFloatToFixed(fc);
-
- maxDiff = SkMax32(maxDiff, SkAbs32(is - s));
- maxDiff = SkMax32(maxDiff, SkAbs32(ic - c));
- }
- SkDebugf("SinCos: maximum error = %d\n", maxDiff);
-#endif
-#endif
-}
-
-#endif
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