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skia2/tests/MathTest.cpp
commit-bot@chromium.org 6485b0be74 Switch out random number generator for tests, benches, samples. 
This change makes tests, benches and samples use the new SkMWCRandom PRNG. GMs will be saved for another time, as they'll require rebaselining.

R=reed@google.com, bsalomon@google.com

Author: jvanverth@google.com

Review URL: https://chromiumcodereview.appspot.com/23653018

git-svn-id: http://skia.googlecode.com/svn/trunk@11136 2bbb7eff-a529-9590-31e7-b0007b416f81
2013-09-06 19:05:11 +00:00

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/*
* Copyright 2011 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "Test.h"
#include "SkFloatBits.h"
#include "SkFloatingPoint.h"
#include "SkMathPriv.h"
#include "SkPoint.h"
#include "SkRandom.h"
#include "SkColorPriv.h"
static void test_clz(skiatest::Reporter* reporter) {
REPORTER_ASSERT(reporter, 32 == SkCLZ(0));
REPORTER_ASSERT(reporter, 31 == SkCLZ(1));
REPORTER_ASSERT(reporter, 1 == SkCLZ(1 << 30));
REPORTER_ASSERT(reporter, 0 == SkCLZ(~0U));
SkMWCRandom rand;
for (int i = 0; i < 1000; ++i) {
uint32_t mask = rand.nextU();
// need to get some zeros for testing, but in some obscure way so the
// compiler won't "see" that, and work-around calling the functions.
mask >>= (mask & 31);
int intri = SkCLZ(mask);
int porta = SkCLZ_portable(mask);
REPORTER_ASSERT(reporter, intri == porta);
}
}
///////////////////////////////////////////////////////////////////////////////
static float sk_fsel(float pred, float result_ge, float result_lt) {
return pred >= 0 ? result_ge : result_lt;
}
static float fast_floor(float x) {
// float big = sk_fsel(x, 0x1.0p+23, -0x1.0p+23);
float big = sk_fsel(x, (float)(1 << 23), -(float)(1 << 23));
return (float)(x + big) - big;
}
static float std_floor(float x) {
return sk_float_floor(x);
}
static void test_floor_value(skiatest::Reporter* reporter, float value) {
float fast = fast_floor(value);
float std = std_floor(value);
REPORTER_ASSERT(reporter, std == fast);
// SkDebugf("value[%1.9f] std[%g] fast[%g] equal[%d]\n",
// value, std, fast, std == fast);
}
static void test_floor(skiatest::Reporter* reporter) {
static const float gVals[] = {
0, 1, 1.1f, 1.01f, 1.001f, 1.0001f, 1.00001f, 1.000001f, 1.0000001f
};
for (size_t i = 0; i < SK_ARRAY_COUNT(gVals); ++i) {
test_floor_value(reporter, gVals[i]);
// test_floor_value(reporter, -gVals[i]);
}
}
///////////////////////////////////////////////////////////////////////////////
// test that SkMul16ShiftRound and SkMulDiv255Round return the same result
static void test_muldivround(skiatest::Reporter* reporter) {
#if 0
// this "complete" test is too slow, so we test a random sampling of it
for (int a = 0; a <= 32767; ++a) {
for (int b = 0; b <= 32767; ++b) {
unsigned prod0 = SkMul16ShiftRound(a, b, 8);
unsigned prod1 = SkMulDiv255Round(a, b);
SkASSERT(prod0 == prod1);
}
}
#endif
SkMWCRandom rand;
for (int i = 0; i < 10000; ++i) {
unsigned a = rand.nextU() & 0x7FFF;
unsigned b = rand.nextU() & 0x7FFF;
unsigned prod0 = SkMul16ShiftRound(a, b, 8);
unsigned prod1 = SkMulDiv255Round(a, b);
REPORTER_ASSERT(reporter, prod0 == prod1);
}
}
static float float_blend(int src, int dst, float unit) {
return dst + (src - dst) * unit;
}
static int blend31(int src, int dst, int a31) {
return dst + ((src - dst) * a31 * 2114 >> 16);
// return dst + ((src - dst) * a31 * 33 >> 10);
}
static int blend31_slow(int src, int dst, int a31) {
int prod = src * a31 + (31 - a31) * dst + 16;
prod = (prod + (prod >> 5)) >> 5;
return prod;
}
static int blend31_round(int src, int dst, int a31) {
int prod = (src - dst) * a31 + 16;
prod = (prod + (prod >> 5)) >> 5;
return dst + prod;
}
static int blend31_old(int src, int dst, int a31) {
a31 += a31 >> 4;
return dst + ((src - dst) * a31 >> 5);
}
// suppress unused code warning
static int (*blend_functions[])(int, int, int) = {
blend31,
blend31_slow,
blend31_round,
blend31_old
};
static void test_blend31() {
int failed = 0;
int death = 0;
if (false) { // avoid bit rot, suppress warning
failed = (*blend_functions[0])(0,0,0);
}
for (int src = 0; src <= 255; src++) {
for (int dst = 0; dst <= 255; dst++) {
for (int a = 0; a <= 31; a++) {
// int r0 = blend31(src, dst, a);
// int r0 = blend31_round(src, dst, a);
// int r0 = blend31_old(src, dst, a);
int r0 = blend31_slow(src, dst, a);
float f = float_blend(src, dst, a / 31.f);
int r1 = (int)f;
int r2 = SkScalarRoundToInt(SkFloatToScalar(f));
if (r0 != r1 && r0 != r2) {
printf("src:%d dst:%d a:%d result:%d float:%g\n",
src, dst, a, r0, f);
failed += 1;
}
if (r0 > 255) {
death += 1;
printf("death src:%d dst:%d a:%d result:%d float:%g\n",
src, dst, a, r0, f);
}
}
}
}
SkDebugf("---- failed %d death %d\n", failed, death);
}
static void test_blend(skiatest::Reporter* reporter) {
for (int src = 0; src <= 255; src++) {
for (int dst = 0; dst <= 255; dst++) {
for (int a = 0; a <= 255; a++) {
int r0 = SkAlphaBlend255(src, dst, a);
float f1 = float_blend(src, dst, a / 255.f);
int r1 = SkScalarRoundToInt(SkFloatToScalar(f1));
if (r0 != r1) {
float diff = sk_float_abs(f1 - r1);
diff = sk_float_abs(diff - 0.5f);
if (diff > (1 / 255.f)) {
#ifdef SK_DEBUG
SkDebugf("src:%d dst:%d a:%d result:%d float:%g\n",
src, dst, a, r0, f1);
#endif
REPORTER_ASSERT(reporter, false);
}
}
}
}
}
}
#if defined(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
static void check_length(skiatest::Reporter* reporter,
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);
REPORTER_ASSERT(reporter, len > 0.999f && len < 1.001f);
}
static float nextFloat(SkMWCRandom& 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 ((int32_t)si) == SK_MaxS32 || ((int32_t)si) == SK_MinS32;
}
// for out of range, C is undefined, but skia always should return NaN32
if (x > SK_MaxS32) {
return ((int32_t)si) == SK_MaxS32;
}
if (x < -SK_MaxS32) {
return ((int32_t)si) == SK_MinS32;
}
return si == ni;
}
static void assert_float_equal(skiatest::Reporter* reporter, const char op[],
float x, uint32_t ni, uint32_t si) {
if (!equal_float_native_skia(x, ni, si)) {
SkString desc;
uint32_t xi = SkFloat2Bits(x);
desc.printf("%s float %g bits %x native %x skia %x\n", op, x, xi, ni, si);
reporter->reportFailed(desc);
}
}
static void test_float_cast(skiatest::Reporter* reporter, float x) {
int ix = (int)x;
int iix = SkFloatToIntCast(x);
assert_float_equal(reporter, "cast", x, ix, iix);
}
static void test_float_floor(skiatest::Reporter* reporter, float x) {
int ix = (int)floor(x);
int iix = SkFloatToIntFloor(x);
assert_float_equal(reporter, "floor", x, ix, iix);
}
static void test_float_round(skiatest::Reporter* reporter, 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(reporter, "round", x, ix, iix);
}
static void test_float_ceil(skiatest::Reporter* reporter, float x) {
int ix = (int)ceil(x);
int iix = SkFloatToIntCeil(x);
assert_float_equal(reporter, "ceil", x, ix, iix);
}
static void test_float_conversions(skiatest::Reporter* reporter, float x) {
test_float_cast(reporter, x);
test_float_floor(reporter, x);
test_float_round(reporter, x);
test_float_ceil(reporter, x);
}
static void test_int2float(skiatest::Reporter* reporter, int ival) {
float x0 = (float)ival;
float x1 = SkIntToFloatCast(ival);
float x2 = SkIntToFloatCast_NoOverflowCheck(ival);
REPORTER_ASSERT(reporter, x0 == x1);
REPORTER_ASSERT(reporter, x0 == x2);
}
static void unittest_fastfloat(skiatest::Reporter* reporter) {
SkMWCRandom 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++) {
test_float_conversions(reporter, gFloats[i]);
test_float_conversions(reporter, -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(reporter, x);
}
test_int2float(reporter, 0);
test_int2float(reporter, 1);
test_int2float(reporter, -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(reporter, ival);
test_int2float(reporter, -ival);
}
}
}
#ifdef SK_SCALAR_IS_FLOAT
static float make_zero() {
return sk_float_sin(0);
}
#endif
static void unittest_isfinite(skiatest::Reporter* reporter) {
#ifdef SK_SCALAR_IS_FLOAT
float nan = sk_float_asin(2);
float inf = 1.0f / make_zero();
float big = 3.40282e+038f;
REPORTER_ASSERT(reporter, !SkScalarIsNaN(inf));
REPORTER_ASSERT(reporter, !SkScalarIsNaN(-inf));
REPORTER_ASSERT(reporter, !SkScalarIsFinite(inf));
REPORTER_ASSERT(reporter, !SkScalarIsFinite(-inf));
#else
SkFixed nan = SK_FixedNaN;
SkFixed big = SK_FixedMax;
#endif
REPORTER_ASSERT(reporter, SkScalarIsNaN(nan));
REPORTER_ASSERT(reporter, !SkScalarIsNaN(big));
REPORTER_ASSERT(reporter, !SkScalarIsNaN(-big));
REPORTER_ASSERT(reporter, !SkScalarIsNaN(0));
REPORTER_ASSERT(reporter, !SkScalarIsFinite(nan));
REPORTER_ASSERT(reporter, SkScalarIsFinite(big));
REPORTER_ASSERT(reporter, SkScalarIsFinite(-big));
REPORTER_ASSERT(reporter, SkScalarIsFinite(0));
}
static void test_muldiv255(skiatest::Reporter* reporter) {
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);
REPORTER_ASSERT(reporter, iround == round);
REPORTER_ASSERT(reporter, itrunc == trunc);
REPORTER_ASSERT(reporter, itrunc <= iround);
REPORTER_ASSERT(reporter, iround <= a);
REPORTER_ASSERT(reporter, iround <= b);
}
}
}
static void test_muldiv255ceiling(skiatest::Reporter* reporter) {
for (int c = 0; c <= 255; c++) {
for (int a = 0; a <= 255; a++) {
int product = (c * a + 255);
int expected_ceiling = (product + (product >> 8)) >> 8;
int webkit_ceiling = (c * a + 254) / 255;
REPORTER_ASSERT(reporter, expected_ceiling == webkit_ceiling);
int skia_ceiling = SkMulDiv255Ceiling(c, a);
REPORTER_ASSERT(reporter, skia_ceiling == webkit_ceiling);
}
}
}
static void test_copysign(skiatest::Reporter* reporter) {
static const int32_t gTriples[] = {
// x, y, expected result
0, 0, 0,
0, 1, 0,
0, -1, 0,
1, 0, 1,
1, 1, 1,
1, -1, -1,
-1, 0, 1,
-1, 1, 1,
-1, -1, -1,
};
for (size_t i = 0; i < SK_ARRAY_COUNT(gTriples); i += 3) {
REPORTER_ASSERT(reporter,
SkCopySign32(gTriples[i], gTriples[i+1]) == gTriples[i+2]);
float x = (float)gTriples[i];
float y = (float)gTriples[i+1];
float expected = (float)gTriples[i+2];
REPORTER_ASSERT(reporter, sk_float_copysign(x, y) == expected);
}
SkMWCRandom rand;
for (int j = 0; j < 1000; j++) {
int ix = rand.nextS();
REPORTER_ASSERT(reporter, SkCopySign32(ix, ix) == ix);
REPORTER_ASSERT(reporter, SkCopySign32(ix, -ix) == -ix);
REPORTER_ASSERT(reporter, SkCopySign32(-ix, ix) == ix);
REPORTER_ASSERT(reporter, SkCopySign32(-ix, -ix) == -ix);
SkScalar sx = rand.nextSScalar1();
REPORTER_ASSERT(reporter, SkScalarCopySign(sx, sx) == sx);
REPORTER_ASSERT(reporter, SkScalarCopySign(sx, -sx) == -sx);
REPORTER_ASSERT(reporter, SkScalarCopySign(-sx, sx) == sx);
REPORTER_ASSERT(reporter, SkScalarCopySign(-sx, -sx) == -sx);
}
}
static void TestMath(skiatest::Reporter* reporter) {
int i;
int32_t x;
SkMWCRandom rand;
// 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(reporter);
test_muldiv255ceiling(reporter);
test_copysign(reporter);
{
SkScalar x = SK_ScalarNaN;
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();
int clamp = SkClampMax(value, max);
int clamp2 = value < 0 ? 0 : (value > max ? max : value);
REPORTER_ASSERT(reporter, clamp == clamp2);
}
for (i = 0; i < 10000; i++) {
SkPoint p;
// These random values are being treated as 32-bit-patterns, not as
// ints; calling SkIntToScalar() here produces crashes.
p.setLength((SkScalar) rand.nextS(),
(SkScalar) rand.nextS(),
SK_Scalar1);
check_length(reporter, p, SK_Scalar1);
p.setLength((SkScalar) (rand.nextS() >> 13),
(SkScalar) (rand.nextS() >> 13),
SK_Scalar1);
check_length(reporter, p, SK_Scalar1);
}
{
SkFixed result = SkFixedDiv(100, 100);
REPORTER_ASSERT(reporter, result == SK_Fixed1);
result = SkFixedDiv(1, SK_Fixed1);
REPORTER_ASSERT(reporter, result == 1);
}
unittest_fastfloat(reporter);
unittest_isfinite(reporter);
#ifdef SkLONGLONG
for (i = 0; i < 10000; 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);
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);
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;
result = SkFixedMul(numer, denom);
SkFixed r2 = symmetric_fixmul(numer, denom);
// SkASSERT(result == r2);
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);
}
#if !defined(SK_SCALAR_IS_FLOAT)
{
SkFixed s, c;
s = SkFixedSinCos(0, &c);
REPORTER_ASSERT(reporter, s == 0);
REPORTER_ASSERT(reporter, c == SK_Fixed1);
}
int maxDiff = 0;
for (i = 0; i < 1000; 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
#ifdef SK_SCALAR_IS_FLOAT
test_blend(reporter);
#endif
if (false) test_floor(reporter);
// disable for now
if (false) test_blend31(); // avoid bit rot, suppress warning
test_muldivround(reporter);
test_clz(reporter);
}
#include "TestClassDef.h"
DEFINE_TESTCLASS("Math", MathTestClass, TestMath)
///////////////////////////////////////////////////////////////////////////////
#include "SkEndian.h"
template <typename T> struct PairRec {
T fYin;
T fYang;
};
static void TestEndian(skiatest::Reporter* reporter) {
static const PairRec<uint16_t> g16[] = {
{ 0x0, 0x0 },
{ 0xFFFF, 0xFFFF },
{ 0x1122, 0x2211 },
};
static const PairRec<uint32_t> g32[] = {
{ 0x0, 0x0 },
{ 0xFFFFFFFF, 0xFFFFFFFF },
{ 0x11223344, 0x44332211 },
};
static const PairRec<uint64_t> g64[] = {
{ 0x0, 0x0 },
{ 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL },
{ 0x1122334455667788ULL, 0x8877665544332211ULL },
};
REPORTER_ASSERT(reporter, 0x1122 == SkTEndianSwap16<0x2211>::value);
REPORTER_ASSERT(reporter, 0x11223344 == SkTEndianSwap32<0x44332211>::value);
REPORTER_ASSERT(reporter, 0x1122334455667788ULL == SkTEndianSwap64<0x8877665544332211ULL>::value);
for (size_t i = 0; i < SK_ARRAY_COUNT(g16); ++i) {
REPORTER_ASSERT(reporter, g16[i].fYang == SkEndianSwap16(g16[i].fYin));
}
for (size_t i = 0; i < SK_ARRAY_COUNT(g32); ++i) {
REPORTER_ASSERT(reporter, g32[i].fYang == SkEndianSwap32(g32[i].fYin));
}
for (size_t i = 0; i < SK_ARRAY_COUNT(g64); ++i) {
REPORTER_ASSERT(reporter, g64[i].fYang == SkEndianSwap64(g64[i].fYin));
}
}
DEFINE_TESTCLASS("Endian", EndianTestClass, TestEndian)
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