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-rw-r--r--experimental/Intersection/SkAntiEdge.cpp8
-rw-r--r--gyp/core.gypi2
-rw-r--r--include/core/Sk64.h55
-rw-r--r--include/core/SkFixed.h108
-rw-r--r--include/utils/SkUnitMappers.h2
-rw-r--r--src/core/Sk64.cpp54
-rw-r--r--src/core/SkCordic.cpp289
-rw-r--r--src/core/SkCordic.h28
-rw-r--r--src/core/SkFloat.h2
-rw-r--r--src/core/SkMath.cpp215
-rw-r--r--src/core/SkMathPriv.h10
-rw-r--r--src/core/SkPicturePlayback.cpp4
-rw-r--r--src/effects/gradients/SkLinearGradient.cpp6
-rw-r--r--src/utils/SkUnitMappers.cpp3
-rw-r--r--tests/MathTest.cpp76
-rw-r--r--tests/Sk64Test.cpp22
16 files changed, 26 insertions, 858 deletions
diff --git a/experimental/Intersection/SkAntiEdge.cpp b/experimental/Intersection/SkAntiEdge.cpp
index 0aa159c53e..2cce960e52 100644
--- a/experimental/Intersection/SkAntiEdge.cpp
+++ b/experimental/Intersection/SkAntiEdge.cpp
@@ -7,6 +7,14 @@
#include "SkAntiEdge.h"
#include "SkPoint.h"
+/** Returns the signed fraction of a SkFixed
+ */
+static inline SkFixed SkFixedFraction(SkFixed x)
+{
+ SkFixed mask = x >> 31 << 16;
+ return (x & 0xFFFF) | mask;
+}
+
void SkAntiEdge::pointOnLine(SkFixed x, SkFixed y) {
float x0 = SkFixedToFloat(x);
float y0 = SkFixedToFloat(y);
diff --git a/gyp/core.gypi b/gyp/core.gypi
index 84f2f511ec..d5c11534dc 100644
--- a/gyp/core.gypi
+++ b/gyp/core.gypi
@@ -59,8 +59,6 @@
'<(skia_src_path)/core/SkConfig8888.h',
'<(skia_src_path)/core/SkConvolver.cpp',
'<(skia_src_path)/core/SkConvolver.h',
- '<(skia_src_path)/core/SkCordic.cpp',
- '<(skia_src_path)/core/SkCordic.h',
'<(skia_src_path)/core/SkCoreBlitters.h',
'<(skia_src_path)/core/SkCubicClipper.cpp',
'<(skia_src_path)/core/SkCubicClipper.h',
diff --git a/include/core/Sk64.h b/include/core/Sk64.h
index 6db3001fb5..eba8b684c6 100644
--- a/include/core/Sk64.h
+++ b/include/core/Sk64.h
@@ -10,7 +10,7 @@
#ifndef Sk64_DEFINED
#define Sk64_DEFINED
-#include "SkFixed.h"
+#include "SkTypes.h"
/** \class Sk64
@@ -28,33 +28,10 @@ struct SK_API Sk64 {
*/
SkBool is64() const { return fHi != ((int32_t)fLo >> 31); }
- /** Returns non-zero if the Sk64 can be represented as a signed 48 bit integer. Used to know
- if we can shift the value down by 16 to treat it as a SkFixed.
- */
- SkBool isFixed() const;
-
/** Return the signed 32 bit integer equivalent. Asserts that is32() returns non-zero.
*/
int32_t get32() const { SkASSERT(this->is32()); return (int32_t)fLo; }
- /** Return the number >> 16. Asserts that this does not loose any significant high bits.
- */
- SkFixed getFixed() const {
- SkASSERT(this->isFixed());
-
- uint32_t sum = fLo + (1 << 15);
- int32_t hi = fHi;
- if (sum < fLo) {
- hi += 1;
- }
- return (hi << 16) | (sum >> 16);
- }
-
- /** Return the number >> 30. Asserts that this does not loose any
- significant high bits.
- */
- SkFract getFract() const;
-
/** Returns the square-root of the number as a signed 32 bit value. */
int32_t getSqrt() const;
@@ -168,36 +145,6 @@ struct SK_API Sk64 {
*/
void div(int32_t, DivOptions);
- /** return (this + other >> 16) as a 32bit result */
- SkFixed addGetFixed(const Sk64& other) const {
- return this->addGetFixed(other.fHi, other.fLo);
- }
-
- /** return (this + Sk64(hi, lo) >> 16) as a 32bit result */
- SkFixed addGetFixed(int32_t hi, uint32_t lo) const {
-#ifdef SK_DEBUG
- Sk64 tmp(*this);
- tmp.add(hi, lo);
-#endif
-
- uint32_t sum = fLo + lo;
- hi += fHi + (sum < fLo);
- lo = sum;
-
- sum = lo + (1 << 15);
- if (sum < lo)
- hi += 1;
-
- hi = (hi << 16) | (sum >> 16);
- SkASSERT(hi == tmp.getFixed());
- return hi;
- }
-
- /** Return the result of dividing the number by denom, treating the answer
- as a SkFixed. (*this) << 16 / denom. It is an error for denom to be 0.
- */
- SkFixed getFixedDiv(const Sk64& denom) const;
-
friend bool operator==(const Sk64& a, const Sk64& b) {
return a.fHi == b.fHi && a.fLo == b.fLo;
}
diff --git a/include/core/SkFixed.h b/include/core/SkFixed.h
index ea5e44c393..580d94b9ca 100644
--- a/include/core/SkFixed.h
+++ b/include/core/SkFixed.h
@@ -55,16 +55,6 @@ typedef int32_t SkFixed;
#define SkFixedToDouble(x) ((x) * 1.5258789e-5)
#define SkDoubleToFixed(x) ((SkFixed)((x) * SK_Fixed1))
-/** 32 bit signed integer used to represent fractions values with 30 bits to the right of the decimal point
-*/
-typedef int32_t SkFract;
-#define SK_Fract1 (1 << 30)
-#define Sk_FracHalf (1 << 29)
-#define SK_FractPIOver180 (0x11DF46A)
-
-#define SkFractToFloat(x) ((float)(x) * 0.00000000093132257f)
-#define SkFloatToFract(x) ((SkFract)((x) * SK_Fract1))
-
/** Converts an integer to a SkFixed, asserting that the result does not overflow
a 32 bit signed integer
*/
@@ -79,31 +69,6 @@ typedef int32_t SkFract;
#define SkIntToFixed(n) (SkFixed)((n) << 16)
#endif
-/** Converts a SkFixed to a SkFract, asserting that the result does not overflow
- a 32 bit signed integer
-*/
-#ifdef SK_DEBUG
- inline SkFract SkFixedToFract(SkFixed x)
- {
- SkASSERT(x >= (-2 << 16) && x <= (2 << 16) - 1);
- return x << 14;
- }
-#else
- #define SkFixedToFract(x) ((x) << 14)
-#endif
-
-/** Returns the signed fraction of a SkFixed
-*/
-inline SkFixed SkFixedFraction(SkFixed x)
-{
- SkFixed mask = x >> 31 << 16;
- return (x & 0xFFFF) | mask;
-}
-
-/** Converts a SkFract to a SkFixed
-*/
-#define SkFractToFixed(x) ((x) >> 14)
-
#define SkFixedRoundToInt(x) (((x) + SK_FixedHalf) >> 16)
#define SkFixedCeilToInt(x) (((x) + SK_Fixed1 - 1) >> 16)
#define SkFixedFloorToInt(x) ((x) >> 16)
@@ -121,7 +86,6 @@ inline SkFixed SkFixedFraction(SkFixed x)
#define SkFixedAve(a, b) (((a) + (b)) >> 1)
SkFixed SkFixedMul_portable(SkFixed, SkFixed);
-SkFract SkFractMul_portable(SkFract, SkFract);
inline SkFixed SkFixedSquare_portable(SkFixed value)
{
uint32_t a = SkAbs32(value);
@@ -135,39 +99,18 @@ inline SkFixed SkFixedSquare_portable(SkFixed value)
}
#define SkFixedDiv(numer, denom) SkDivBits(numer, denom, 16)
-SkFixed SkFixedDivInt(int32_t numer, int32_t denom);
-SkFixed SkFixedMod(SkFixed numer, SkFixed denom);
-#define SkFixedInvert(n) SkDivBits(SK_Fixed1, n, 16)
-SkFixed SkFixedFastInvert(SkFixed n);
-#define SkFixedSqrt(n) SkSqrtBits(n, 23)
-SkFixed SkFixedMean(SkFixed a, SkFixed b); //*< returns sqrt(x*y)
-int SkFixedMulCommon(SkFixed, int , int bias); // internal used by SkFixedMulFloor, SkFixedMulCeil, SkFixedMulRound
-#define SkFractDiv(numer, denom) SkDivBits(numer, denom, 30)
-#define SkFractSqrt(n) SkSqrtBits(n, 30)
+///////////////////////////////////////////////////////////////////////////////
+// TODO: move fixed sin/cos into SkCosineMapper, as that is the only caller
+// or rewrite SkCosineMapper to not use it at all
SkFixed SkFixedSinCos(SkFixed radians, SkFixed* cosValueOrNull);
#define SkFixedSin(radians) SkFixedSinCos(radians, NULL)
-inline SkFixed SkFixedCos(SkFixed radians)
-{
+static inline SkFixed SkFixedCos(SkFixed radians) {
SkFixed cosValue;
(void)SkFixedSinCos(radians, &cosValue);
return cosValue;
}
-SkFixed SkFixedTan(SkFixed radians);
-SkFixed SkFixedASin(SkFixed);
-SkFixed SkFixedACos(SkFixed);
-SkFixed SkFixedATan2(SkFixed y, SkFixed x);
-SkFixed SkFixedExp(SkFixed);
-SkFixed SkFixedLog(SkFixed);
-
-#define SK_FixedNearlyZero (SK_Fixed1 >> 12)
-
-inline bool SkFixedNearlyZero(SkFixed x, SkFixed tolerance = SK_FixedNearlyZero)
-{
- SkASSERT(tolerance > 0);
- return SkAbs32(x) < tolerance;
-}
//////////////////////////////////////////////////////////////////////////////////////////////////////
// Now look for ASM overrides for our portable versions (should consider putting this in its own file)
@@ -177,16 +120,11 @@ inline bool SkFixedNearlyZero(SkFixed x, SkFixed tolerance = SK_FixedNearlyZero)
{
return (SkFixed)((SkLONGLONG)a * b >> 16);
}
- inline SkFract SkFractMul_longlong(SkFract a, SkFract b)
- {
- return (SkFract)((SkLONGLONG)a * b >> 30);
- }
inline SkFixed SkFixedSquare_longlong(SkFixed value)
{
return (SkFixed)((SkLONGLONG)value * value >> 16);
}
#define SkFixedMul(a,b) SkFixedMul_longlong(a,b)
- #define SkFractMul(a,b) SkFractMul_longlong(a,b)
#define SkFixedSquare(a) SkFixedSquare_longlong(a)
#endif
@@ -223,54 +161,16 @@ inline bool SkFixedNearlyZero(SkFixed x, SkFixed tolerance = SK_FixedNearlyZero)
);
return x;
}
- inline SkFixed SkFixedMulAdd_arm(SkFixed x, SkFixed y, SkFixed a)
- {
- int32_t t;
- asm("smull %0, %3, %1, %4 \n"
- "add %0, %2, %0, lsr #16 \n"
- "add %0, %0, %3, lsl #16 \n"
- : "=r"(x), "=&r"(y), "=&r"(a), "=r"(t)
- : "%r"(x), "1"(y), "2"(a)
- :
- );
- return x;
- }
- inline SkFixed SkFractMul_arm(SkFixed x, SkFixed y)
- {
- int32_t t;
- asm("smull %0, %2, %1, %3 \n"
- "mov %0, %0, lsr #30 \n"
- "orr %0, %0, %2, lsl #2 \n"
- : "=r"(x), "=&r"(y), "=r"(t)
- : "r"(x), "1"(y)
- :
- );
- return x;
- }
#undef SkFixedMul
- #undef SkFractMul
#define SkFixedMul(x, y) SkFixedMul_arm(x, y)
- #define SkFractMul(x, y) SkFractMul_arm(x, y)
- #define SkFixedMulAdd(x, y, a) SkFixedMulAdd_arm(x, y, a)
#undef SkFloatToFixed
#define SkFloatToFixed(x) SkFloatToFixed_arm(x)
#endif
-/////////////////////// Now define our macros to the portable versions if they weren't overridden
-
-#ifndef SkFixedSquare
- #define SkFixedSquare(x) SkFixedSquare_portable(x)
-#endif
#ifndef SkFixedMul
#define SkFixedMul(x, y) SkFixedMul_portable(x, y)
#endif
-#ifndef SkFractMul
- #define SkFractMul(x, y) SkFractMul_portable(x, y)
-#endif
-#ifndef SkFixedMulAdd
- #define SkFixedMulAdd(x, y, a) (SkFixedMul(x, y) + (a))
-#endif
///////////////////////////////////////////////////////////////////////////////
diff --git a/include/utils/SkUnitMappers.h b/include/utils/SkUnitMappers.h
index 64aab5ddee..509e2d6380 100644
--- a/include/utils/SkUnitMappers.h
+++ b/include/utils/SkUnitMappers.h
@@ -28,7 +28,7 @@ protected:
private:
int fSegments;
- SkFract fScale; // computed from fSegments
+ int32_t fScale; // computed from fSegments
typedef SkUnitMapper INHERITED;
};
diff --git a/src/core/Sk64.cpp b/src/core/Sk64.cpp
index 54b30221c9..1fb0454ae2 100644
--- a/src/core/Sk64.cpp
+++ b/src/core/Sk64.cpp
@@ -133,19 +133,14 @@ void Sk64::abs()
}
}
+#if 0
SkBool Sk64::isFixed() const
{
Sk64 tmp = *this;
tmp.roundRight(16);
return tmp.is32();
}
-
-SkFract Sk64::getFract() const
-{
- Sk64 tmp = *this;
- tmp.roundRight(30);
- return tmp.get32();
-}
+#endif
void Sk64::sub(const Sk64& a)
{
@@ -298,48 +293,3 @@ int32_t Sk64::getSqrt() const
return value | fLo;
}
#endif
-
-SkFixed Sk64::getFixedDiv(const Sk64& denom) const
-{
- Sk64 N = *this;
- Sk64 D = denom;
- int32_t sign = SkExtractSign(N.fHi ^ D.fHi);
- SkFixed result;
-
- N.abs();
- D.abs();
-
- // need to knock D down to just 31 bits
- // either by rounding it to the right, or shifting N to the left
- // then we can just call 64/32 div
-
- int nclz = N.fHi ? SkCLZ(N.fHi) : 32;
- int dclz = D.fHi ? SkCLZ(D.fHi) : (33 - (D.fLo >> 31));
-
- int shiftN = nclz - 1;
- SkASSERT(shiftN >= 0);
- int shiftD = 33 - dclz;
- SkASSERT(shiftD >= 0);
-
- if (shiftD + shiftN < 16)
- shiftD = 16 - shiftN;
- else
- shiftN = 16 - shiftD;
-
- D.roundRight(shiftD);
- if (D.isZero())
- result = SK_MaxS32;
- else
- {
- if (shiftN >= 0)
- N.shiftLeft(shiftN);
- else
- N.roundRight(-shiftN);
- N.div(D.get32(), Sk64::kTrunc_DivOption);
- if (N.is32())
- result = N.get32();
- else
- result = SK_MaxS32;
- }
- return SkApplySign(result, sign);
-}
diff --git a/src/core/SkCordic.cpp b/src/core/SkCordic.cpp
deleted file mode 100644
index 3adc92faa1..0000000000
--- a/src/core/SkCordic.cpp
+++ /dev/null
@@ -1,289 +0,0 @@
-/*
- * Copyright 2006 The Android Open Source Project
- *
- * Use of this source code is governed by a BSD-style license that can be
- * found in the LICENSE file.
- */
-
-#include "SkCordic.h"
-#include "SkMathPriv.h"
-#include "Sk64.h"
-
-// 0x20000000 equals pi / 4
-const int32_t kATanDegrees[] = { 0x20000000,
- 0x12E4051D, 0x9FB385B, 0x51111D4, 0x28B0D43, 0x145D7E1, 0xA2F61E, 0x517C55,
- 0x28BE53, 0x145F2E, 0xA2F98, 0x517CC, 0x28BE6, 0x145F3, 0xA2F9, 0x517C,
- 0x28BE, 0x145F, 0xA2F, 0x517, 0x28B, 0x145, 0xA2, 0x51, 0x28, 0x14,
- 0xA, 0x5, 0x2, 0x1 };
-
-const int32_t kFixedInvGain1 = 0x18bde0bb; // 0.607252935
-
-static void SkCircularRotation(int32_t* x0, int32_t* y0, int32_t* z0)
-{
- int32_t t = 0;
- int32_t x = *x0;
- int32_t y = *y0;
- int32_t z = *z0;
- const int32_t* tanPtr = kATanDegrees;
- do {
- int32_t x1 = y >> t;
- int32_t y1 = x >> t;
- int32_t tan = *tanPtr++;
- if (z >= 0) {
- x -= x1;
- y += y1;
- z -= tan;
- } else {
- x += x1;
- y -= y1;
- z += tan;
- }
- } while (++t < 16); // 30);
- *x0 = x;
- *y0 = y;
- *z0 = z;
-}
-
-SkFixed SkCordicSinCos(SkFixed radians, SkFixed* cosp)
-{
- int32_t scaledRadians = radians * 0x28be; // scale radians to 65536 / PI()
- int quadrant = scaledRadians >> 30;
- quadrant += 1;
- if (quadrant & 2)
- scaledRadians = -scaledRadians + 0x80000000;
- /* |a| <= 90 degrees as a 1.31 number */
- SkFixed sin = 0;
- SkFixed cos = kFixedInvGain1;
- SkCircularRotation(&cos, &sin, &scaledRadians);
- Sk64 scaled;
- scaled.setMul(sin, 0x6488d);
- sin = scaled.fHi;
- scaled.setMul(cos, 0x6488d);
- if (quadrant & 2)
- scaled.fHi = - scaled.fHi;
- *cosp = scaled.fHi;
- return sin;
-}
-
-SkFixed SkCordicTan(SkFixed a)
-{
- int32_t cos;
- int32_t sin = SkCordicSinCos(a, &cos);
- return SkFixedDiv(sin, cos);
-}
-
-static int32_t SkCircularVector(int32_t* y0, int32_t* x0, int32_t vecMode)
-{
- int32_t x = *x0;
- int32_t y = *y0;
- int32_t z = 0;
- int32_t t = 0;
- const int32_t* tanPtr = kATanDegrees;
- do {
- int32_t x1 = y >> t;
- int32_t y1 = x >> t;
- int32_t tan = *tanPtr++;
- if (y < vecMode) {
- x -= x1;
- y += y1;
- z -= tan;
- } else {
- x += x1;
- y -= y1;
- z += tan;
- }
- } while (++t < 16); // 30
- Sk64 scaled;
- scaled.setMul(z, 0x6488d); // scale back into the SkScalar space (0x100000000/0x28be)
- return scaled.fHi;
-}
-
-SkFixed SkCordicASin(SkFixed a) {
- int32_t sign = SkExtractSign(a);
- int32_t z = SkFixedAbs(a);
- if (z >= SK_Fixed1)
- return SkApplySign(SK_FixedPI>>1, sign);
- int32_t x = kFixedInvGain1;
- int32_t y = 0;
- z *= 0x28be;
- z = SkCircularVector(&y, &x, z);
- z = SkApplySign(z, ~sign);
- return z;
-}
-
-SkFixed SkCordicACos(SkFixed a) {
- int32_t z = SkCordicASin(a);
- z = (SK_FixedPI>>1) - z;
- return z;
-}
-
-SkFixed SkCordicATan2(SkFixed y, SkFixed x) {
- if ((x | y) == 0)
- return 0;
- int32_t xsign = SkExtractSign(x);
- x = SkFixedAbs(x);
- int32_t result = SkCircularVector(&y, &x, 0);
- if (xsign) {
- int32_t rsign = SkExtractSign(result);
- if (y == 0)
- rsign = 0;
- SkFixed pi = SkApplySign(SK_FixedPI, rsign);
- result = pi - result;
- }
- return result;
-}
-
-const int32_t kATanHDegrees[] = {
- 0x1661788D, 0xA680D61, 0x51EA6FC, 0x28CBFDD, 0x1460E34,
- 0xA2FCE8, 0x517D2E, 0x28BE6E, 0x145F32,
- 0xA2F98, 0x517CC, 0x28BE6, 0x145F3, 0xA2F9, 0x517C,
- 0x28BE, 0x145F, 0xA2F, 0x517, 0x28B, 0x145, 0xA2, 0x51, 0x28, 0x14,
- 0xA, 0x5, 0x2, 0x1 };
-
-const int32_t kFixedInvGain2 = 0x31330AAA; // 1.207534495
-
-static void SkHyperbolic(int32_t* x0, int32_t* y0, int32_t* z0, int mode)
-{
- int32_t t = 1;
- int32_t x = *x0;
- int32_t y = *y0;
- int32_t z = *z0;
- const int32_t* tanPtr = kATanHDegrees;
- int k = -3;
- do {
- int32_t x1 = y >> t;
- int32_t y1 = x >> t;
- int32_t tan = *tanPtr++;
- int count = 2 + (k >> 31);
- if (++k == 1)
- k = -2;
- do {
- if (((y >> 31) & mode) | ~((z >> 31) | mode)) {
- x += x1;
- y += y1;
- z -= tan;
- } else {
- x -= x1;
- y -= y1;
- z += tan;
- }
- } while (--count);
- } while (++t < 30);
- *x0 = x;
- *y0 = y;
- *z0 = z;
-}
-
-SkFixed SkCordicLog(SkFixed a) {
- a *= 0x28be;
- int32_t x = a + 0x28BE60DB; // 1.0
- int32_t y = a - 0x28BE60DB;
- int32_t z = 0;
- SkHyperbolic(&x, &y, &z, -1);
- Sk64 scaled;
- scaled.setMul(z, 0x6488d);
- z = scaled.fHi;
- return z << 1;
-}
-
-SkFixed SkCordicExp(SkFixed a) {
- int32_t cosh = kFixedInvGain2;
- int32_t sinh = 0;
- SkHyperbolic(&cosh, &sinh, &a, 0);
- return cosh + sinh;
-}
-
-#ifdef SK_DEBUG
-
-#include "SkFloatingPoint.h"
-
-void SkCordic_UnitTest()
-{
-#if defined(SK_SUPPORT_UNITTEST)
- float val;
- for (float angle = -720; angle < 720; angle += 30) {
- float radian = angle * 3.1415925358f / 180.0f;
- SkFixed f_angle = SkFloatToFixed(radian);
- // sincos
- float sine = sinf(radian);
- float cosine = cosf(radian);
- SkFixed f_cosine;
- SkFixed f_sine = SkCordicSinCos(f_angle, &f_cosine);
- float sine2 = (float) f_sine / 65536.0f;
- float cosine2 = (float) f_cosine / 65536.0f;
- float error = fabsf(sine - sine2);
- if (error > 0.001)
- SkDebugf("sin error : angle = %g ; sin = %g ; cordic = %g\n", angle, sine, sine2);
- error = fabsf(cosine - cosine2);
- if (error > 0.001)
- SkDebugf("cos error : angle = %g ; cos = %g ; cordic = %g\n", angle, cosine, cosine2);
- // tan
- float _tan = tanf(radian);
- SkFixed f_tan = SkCordicTan(f_angle);
- float tan2 = (float) f_tan / 65536.0f;
- error = fabsf(_tan - tan2);
- if (error > 0.05 && fabsf(_tan) < 1e6)
- SkDebugf("tan error : angle = %g ; tan = %g ; cordic = %g\n", angle, _tan, tan2);
- }
- for (val = -1; val <= 1; val += .1f) {
- SkFixed f_val = SkFloatToFixed(val);
- // asin
- float arcsine = asinf(val);
- SkFixed f_arcsine = SkCordicASin(f_val);
- float arcsine2 = (float) f_arcsine / 65536.0f;
- float error = fabsf(arcsine - arcsine2);
- if (error > 0.001)
- SkDebugf("asin error : val = %g ; asin = %g ; cordic = %g\n", val, arcsine, arcsine2);
- }
-#if 1
- for (val = -1; val <= 1; val += .1f) {
-#else
- val = .5; {
-#endif
- SkFixed f_val = SkFloatToFixed(val);
- // acos
- float arccos = acosf(val);
- SkFixed f_arccos = SkCordicACos(f_val);
- float arccos2 = (float) f_arccos / 65536.0f;
- float error = fabsf(arccos - arccos2);
- if (error > 0.001)
- SkDebugf("acos error : val = %g ; acos = %g ; cordic = %g\n", val, arccos, arccos2);
- }
- // atan2
-#if 1
- for (val = -1000; val <= 1000; val += 500.f) {
- for (float val2 = -1000; val2 <= 1000; val2 += 500.f) {
-#else
- val = 0; {
- float val2 = -1000; {
-#endif
- SkFixed f_val = SkFloatToFixed(val);
- SkFixed f_val2 = SkFloatToFixed(val2);
- float arctan = atan2f(val, val2);
- SkFixed f_arctan = SkCordicATan2(f_val, f_val2);
- float arctan2 = (float) f_arctan / 65536.0f;
- float error = fabsf(arctan - arctan2);
- if (error > 0.001)
- SkDebugf("atan2 error : val = %g ; val2 = %g ; atan2 = %g ; cordic = %g\n", val, val2, arctan, arctan2);
- }
- }
- // log
-#if 1
- for (val = 0.125f; val <= 8.f; val *= 2.0f) {
-#else
- val = .5; {
-#endif
- SkFixed f_val = SkFloatToFixed(val);
- // acos
- float log = logf(val);
- SkFixed f_log = SkCordicLog(f_val);
- float log2 = (float) f_log / 65536.0f;
- float error = fabsf(log - log2);
- if (error > 0.001)
- SkDebugf("log error : val = %g ; log = %g ; cordic = %g\n", val, log, log2);
- }
- // exp
-#endif
-}
-
-#endif
diff --git a/src/core/SkCordic.h b/src/core/SkCordic.h
deleted file mode 100644
index fecf645643..0000000000
--- a/src/core/SkCordic.h
+++ /dev/null
@@ -1,28 +0,0 @@
-
-/*
- * Copyright 2006 The Android Open Source Project
- *
- * Use of this source code is governed by a BSD-style license that can be
- * found in the LICENSE file.
- */
-
-
-#ifndef SkCordic_DEFINED
-#define SkCordic_DEFINED
-
-#include "SkTypes.h"
-#include "SkFixed.h"
-
-SkFixed SkCordicACos(SkFixed a);
-SkFixed SkCordicASin(SkFixed a);
-SkFixed SkCordicATan2(SkFixed y, SkFixed x);
-SkFixed SkCordicExp(SkFixed a);
-SkFixed SkCordicLog(SkFixed a);
-SkFixed SkCordicSinCos(SkFixed radians, SkFixed* cosp);
-SkFixed SkCordicTan(SkFixed a);
-
-#ifdef SK_DEBUG
- void SkCordic_UnitTest();
-#endif
-
-#endif // SkCordic
diff --git a/src/core/SkFloat.h b/src/core/SkFloat.h
index 74cd19e542..0d4f9b41a7 100644
--- a/src/core/SkFloat.h
+++ b/src/core/SkFloat.h
@@ -20,12 +20,10 @@ public:
// void setShift(int value, int shift) { fPacked = SetShift(value, shift); }
void setInt(int value) { fPacked = SetShift(value, 0); }
void setFixed(SkFixed value) { fPacked = SetShift(value, -16); }
- void setFract(SkFract value) { fPacked = SetShift(value, -30); }
// int getShift(int shift) const { return GetShift(fPacked, shift); }
int getInt() const { return GetShift(fPacked, 0); }
SkFixed getFixed() const { return GetShift(fPacked, -16); }
- SkFract getFract() const { return GetShift(fPacked, -30); }
void abs() { fPacked = Abs(fPacked); }
void negate() { fPacked = Neg(fPacked); }
diff --git a/src/core/SkMath.cpp b/src/core/SkMath.cpp
index f1ba3a3a0c..1d356c7951 100644
--- a/src/core/SkMath.cpp
+++ b/src/core/SkMath.cpp
@@ -6,7 +6,6 @@
*/
#include "SkMathPriv.h"
-#include "SkCordic.h"
#include "SkFloatBits.h"
#include "SkFloatingPoint.h"
#include "Sk64.h"
@@ -54,63 +53,8 @@ int32_t SkMulDiv(int32_t numer1, int32_t numer2, int32_t denom) {
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)
+#if defined(SkLONGLONG)
return static_cast<SkFixed>((SkLONGLONG)a * b >> 16);
#else
int sa = SkExtractSign(a);
@@ -130,103 +74,6 @@ SkFixed SkFixedMul_portable(SkFixed a, SkFixed b) {
#endif
}
-SkFract SkFractMul_portable(SkFract a, SkFract b) {
-#if 0
- Sk64 tmp;
- tmp.setMul(a, b);
- return tmp.getFract();
-#elif defined(SkLONGLONG)
- return static_cast<SkFract>((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) \
@@ -295,26 +142,6 @@ int32_t SkDivBits(int32_t numer, int32_t denom, int shift_bias) {
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) {
@@ -340,38 +167,6 @@ int32_t SkSqrtBits(int32_t x, int count) {
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();
-}
-
///////////////////////////////////////////////////////////////////////////////
float SkScalarSinCos(float radians, float* cosValue) {
@@ -503,11 +298,3 @@ SkFixed SkFixedSinCos(SkFixed radians, SkFixed* cosValuePtr) {
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); }
diff --git a/src/core/SkMathPriv.h b/src/core/SkMathPriv.h
index 4eaad8b9b1..f93ab61078 100644
--- a/src/core/SkMathPriv.h
+++ b/src/core/SkMathPriv.h
@@ -39,16 +39,6 @@ static inline unsigned SkClampUMax(unsigned value, unsigned max) {
return value;
}
-/** Computes the 64bit product of a * b, and then shifts the answer down by
- shift bits, returning the low 32bits. shift must be [0..63]
- e.g. to perform a fixedmul, call SkMulShift(a, b, 16)
- */
-int32_t SkMulShift(int32_t a, int32_t b, unsigned shift);
-
-/** Return the integer cube root of value, with a bias of bitBias
- */
-int32_t SkCubeRootBits(int32_t value, int bitBias);
-
///////////////////////////////////////////////////////////////////////////////
/** Return a*b/255, truncating away any fractional bits. Only valid if both
diff --git a/src/core/SkPicturePlayback.cpp b/src/core/SkPicturePlayback.cpp
index 82c7a03bcd..cb73689eeb 100644
--- a/src/core/SkPicturePlayback.cpp
+++ b/src/core/SkPicturePlayback.cpp
@@ -1217,11 +1217,11 @@ void dumpMatrix(const SkMatrix& matrix) const {
SkScalar perspX = matrix.getPerspX();
if (perspX != defaultMatrix.getPerspX())
bufferPtr += snprintf(bufferPtr, DUMP_BUFFER_SIZE - (bufferPtr - pBuffer),
- "{kPerspX, %g}, ", SkFractToFloat(perspX));
+ "{kPerspX, %g}, ", perspX);
SkScalar perspY = matrix.getPerspY();
if (perspY != defaultMatrix.getPerspY())
bufferPtr += snprintf(bufferPtr, DUMP_BUFFER_SIZE - (bufferPtr - pBuffer),
- "{kPerspY, %g}, ", SkFractToFloat(perspY));
+ "{kPerspY, %g}, ", perspY);
SkDebugf("%s{0}};\n", pBuffer);
}
diff --git a/src/effects/gradients/SkLinearGradient.cpp b/src/effects/gradients/SkLinearGradient.cpp
index 5563a03f7e..70452962ac 100644
--- a/src/effects/gradients/SkLinearGradient.cpp
+++ b/src/effects/gradients/SkLinearGradient.cpp
@@ -377,6 +377,10 @@ void shadeSpan16_linear_repeat(TileProc proc, SkFixed dx, SkFixed fx,
}
}
+static bool fixed_nearly_zero(SkFixed x) {
+ return SkAbs32(x) < (SK_Fixed1 >> 12);
+}
+
void SkLinearGradient::shadeSpan16(int x, int y,
uint16_t* SK_RESTRICT dstC, int count) {
SkASSERT(count > 0);
@@ -402,7 +406,7 @@ void SkLinearGradient::shadeSpan16(int x, int y,
}
LinearShade16Proc shadeProc = shadeSpan16_linear_repeat;
- if (SkFixedNearlyZero(dx)) {
+ if (fixed_nearly_zero(dx)) {
shadeProc = shadeSpan16_linear_vertical;
} else if (SkShader::kClamp_TileMode == fTileMode) {
shadeProc = shadeSpan16_linear_clamp;
diff --git a/src/utils/SkUnitMappers.cpp b/src/utils/SkUnitMappers.cpp
index 5976e9de52..f86a4542db 100644
--- a/src/utils/SkUnitMappers.cpp
+++ b/src/utils/SkUnitMappers.cpp
@@ -8,6 +8,7 @@
#include "SkUnitMappers.h"
#include "SkFlattenableBuffers.h"
+
SkDiscreteMapper::SkDiscreteMapper(int segments) {
if (segments < 2) {
fSegments = 0;
@@ -17,7 +18,7 @@ SkDiscreteMapper::SkDiscreteMapper(int segments) {
segments = 0xFFFF;
}
fSegments = segments;
- fScale = SK_Fract1 / (segments - 1);
+ fScale = (1 << 30) / (segments - 1);
}
}
diff --git a/tests/MathTest.cpp b/tests/MathTest.cpp
index d6649542c2..1b8954a361 100644
--- a/tests/MathTest.cpp
+++ b/tests/MathTest.cpp
@@ -427,7 +427,6 @@ static void test_copysign(skiatest::Reporter* reporter) {
DEF_TEST(Math, reporter) {
int i;
- int32_t x;
SkRandom rand;
// these should assert
@@ -459,30 +458,6 @@ DEF_TEST(Math, reporter) {
REPORTER_ASSERT(reporter, SkScalarIsNaN(x));
}
- for (i = 1; i <= 10; i++) {
- x = SkCubeRootBits(i*i*i, 11);
- REPORTER_ASSERT(reporter, x == i);
- }
-
- x = SkFixedSqrt(SK_Fixed1);
- REPORTER_ASSERT(reporter, x == SK_Fixed1);
- x = SkFixedSqrt(SK_Fixed1/4);
- REPORTER_ASSERT(reporter, x == SK_Fixed1/2);
- x = SkFixedSqrt(SK_Fixed1*4);
- REPORTER_ASSERT(reporter, x == SK_Fixed1*2);
-
- x = SkFractSqrt(SK_Fract1);
- REPORTER_ASSERT(reporter, x == SK_Fract1);
- x = SkFractSqrt(SK_Fract1/4);
- REPORTER_ASSERT(reporter, x == SK_Fract1/2);
- x = SkFractSqrt(SK_Fract1/16);
- REPORTER_ASSERT(reporter, x == SK_Fract1/4);
-
- for (i = 1; i < 100; i++) {
- x = SkFixedSqrt(SK_Fixed1 * i * i);
- REPORTER_ASSERT(reporter, x == SK_Fixed1 * i);
- }
-
for (i = 0; i < 1000; i++) {
int value = rand.nextS16();
int max = rand.nextU16();
@@ -535,17 +510,6 @@ DEF_TEST(Math, reporter) {
}
REPORTER_ASSERT(reporter, result == (int32_t)check);
- result = SkFractDiv(numer, denom);
- check = ((SkLONGLONG)numer << 30) / denom;
-
- REPORTER_ASSERT(reporter, result != (SkFixed)SK_NaN32);
- if (check > SK_MaxS32) {
- check = SK_MaxS32;
- } else if (check < -SK_MaxS32) {
- check = SK_MinS32;
- }
- REPORTER_ASSERT(reporter, result == (int32_t)check);
-
// make them <= 2^24, so we don't overflow in fixmul
numer = numer << 8 >> 8;
denom = denom << 8 >> 8;
@@ -557,49 +521,9 @@ DEF_TEST(Math, reporter) {
result = SkFixedMul(numer, numer);
r2 = SkFixedSquare(numer);
REPORTER_ASSERT(reporter, result == r2);
-
- if (numer >= 0 && denom >= 0) {
- SkFixed mean = SkFixedMean(numer, denom);
- float prod = SkFixedToFloat(numer) * SkFixedToFloat(denom);
- float fm = sk_float_sqrt(sk_float_abs(prod));
- SkFixed mean2 = SkFloatToFixed(fm);
- int diff = SkAbs32(mean - mean2);
- REPORTER_ASSERT(reporter, diff <= 1);
- }
-
- {
- SkFixed mod = SkFixedMod(numer, denom);
- float n = SkFixedToFloat(numer);
- float d = SkFixedToFloat(denom);
- float m = sk_float_mod(n, d);
- // ensure the same sign
- REPORTER_ASSERT(reporter, mod == 0 || (mod < 0) == (m < 0));
- int diff = SkAbs32(mod - SkFloatToFixed(m));
- REPORTER_ASSERT(reporter, (diff >> 7) == 0);
- }
}
#endif
- for (i = 0; i < 10000; i++) {
- SkFract x = rand.nextU() >> 1;
- double xx = (double)x / SK_Fract1;
- SkFract xr = SkFractSqrt(x);
- SkFract check = SkFloatToFract(sqrt(xx));
- REPORTER_ASSERT(reporter, xr == check ||
- xr == check-1 ||
- xr == check+1);
-
- xr = SkFixedSqrt(x);
- xx = (double)x / SK_Fixed1;
- check = SkFloatToFixed(sqrt(xx));
- REPORTER_ASSERT(reporter, xr == check || xr == check-1);
-
- xr = SkSqrt32(x);
- xx = (double)x;
- check = (int32_t)sqrt(xx);
- REPORTER_ASSERT(reporter, xr == check || xr == check-1);
- }
-
test_blend(reporter);
if (false) test_floor(reporter);
diff --git a/tests/Sk64Test.cpp b/tests/Sk64Test.cpp
index 9af32b14be..589801b272 100644
--- a/tests/Sk64Test.cpp
+++ b/tests/Sk64Test.cpp
@@ -174,28 +174,6 @@ DEF_TEST(Sk64Test, reporter) {
int32_t ck = (int32_t)sqrt((double)wide.getLongLong());
int diff = denom - ck;
REPORTER_ASSERT(reporter, SkAbs32(diff) <= 1);
-
- wide.setMul(rand.nextS(), rand.nextS());
- Sk64 dwide;
- dwide.setMul(rand.nextS(), rand.nextS());
- SkFixed fixdiv = wide.getFixedDiv(dwide);
- double dnumer = (double)wide.getLongLong();
- double ddenom = (double)dwide.getLongLong();
- double ddiv = dnumer / ddenom;
- SkFixed dfixdiv;
- if (ddiv >= (double)SK_MaxS32 / (double)SK_Fixed1)
- dfixdiv = SK_MaxS32;
- else if (ddiv <= -(double)SK_MaxS32 / (double)SK_Fixed1)
- dfixdiv = SK_MinS32;
- else
- dfixdiv = SkFloatToFixed(dnumer / ddenom);
- diff = fixdiv - dfixdiv;
-
- if (SkAbs32(diff) > 1) {
- SkDebugf(" %d === numer %g denom %g div %g xdiv %x fxdiv %x\n",
- i, dnumer, ddenom, ddiv, dfixdiv, fixdiv);
- }
- REPORTER_ASSERT(reporter, SkAbs32(diff) <= 1);
}
#endif
}