skia2/tests/MathTest.cpp
caryclark@google.com 42639cddc3 fix warnings on Mac in tests
Fix these class of warnings:
- unused functions
- unused locals
- sign mismatch
- missing function prototypes
- missing newline at end of file
- 64 to 32 bit truncation

The changes prefer to link in dead code in the debug build
with 'if (false)' than to comment it out, but trivial cases
are commented out or sometimes deleted if it appears to be
a copy/paste error.
Review URL: https://codereview.appspot.com/6301045

git-svn-id: http://skia.googlecode.com/svn/trunk@4175 2bbb7eff-a529-9590-31e7-b0007b416f81
2012-06-06 12:03:39 +00:00

618 lines
18 KiB
C++

/*
* 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 "SkFloatingPoint.h"
#include "SkMath.h"
#include "SkPoint.h"
#include "SkRandom.h"
#include "SkColorPriv.h"
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]);
}
}
///////////////////////////////////////////////////////////////////////////////
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) {
#ifdef SK_CAN_USE_FLOAT
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);
#endif
}
#if defined(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(skiatest::Reporter* reporter, const char op[],
float x, uint32_t ni, uint32_t si) {
if (!equal_float_native_skia(x, ni, si)) {
SkString desc;
desc.printf("%s float %g bits %x native %x skia %x\n", op, x, 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) {
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++) {
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));
}
#endif
static void test_muldiv255(skiatest::Reporter* reporter) {
#ifdef SK_CAN_USE_FLOAT
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);
}
}
#endif
}
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]);
#ifdef SK_CAN_USE_FLOAT
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);
#endif
}
SkRandom 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;
SkRandom 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);
}
#ifdef SK_CAN_USE_FLOAT
unittest_fastfloat(reporter);
unittest_isfinite(reporter);
#endif
#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);
#ifdef SK_CAN_USE_FLOAT
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
}
#endif
#ifdef SK_CAN_USE_FLOAT
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);
}
#endif
#if !defined(SK_SCALAR_IS_FLOAT) && defined(SK_CAN_USE_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
#ifdef SK_CAN_USE_FLOAT
test_floor(reporter);
#endif
// disable for now
if (false) test_blend31(); // avoid bit rot, suppress warning
}
#include "TestClassDef.h"
DEFINE_TESTCLASS("Math", MathTestClass, TestMath)