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llvm-project/llvm/unittests/ADT/APFixedPointTest.cpp

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//===- unittests/ADT/FixedPointTest.cpp -- fixed point number tests -----===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#include "llvm/ADT/APFixedPoint.h"
#include "llvm/ADT/APFloat.h"
#include "llvm/ADT/APSInt.h"
#include "gtest/gtest.h"
using llvm::APFixedPoint;
using llvm::APFloat;
using llvm::APInt;
using llvm::APSInt;
using llvm::FixedPointSemantics;
namespace {
FixedPointSemantics Saturated(FixedPointSemantics Sema) {
Sema.setSaturated(true);
return Sema;
}
FixedPointSemantics getSAccumSema() {
return FixedPointSemantics(/*width=*/16, /*scale=*/7, /*isSigned=*/true,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getAccumSema() {
return FixedPointSemantics(/*width=*/32, /*scale=*/15, /*isSigned=*/true,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getLAccumSema() {
return FixedPointSemantics(/*width=*/64, /*scale=*/31, /*isSigned=*/true,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getSFractSema() {
return FixedPointSemantics(/*width=*/8, /*scale=*/7, /*isSigned=*/true,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getFractSema() {
return FixedPointSemantics(/*width=*/16, /*scale=*/15, /*isSigned=*/true,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getLFractSema() {
return FixedPointSemantics(/*width=*/32, /*scale=*/31, /*isSigned=*/true,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getUSAccumSema() {
return FixedPointSemantics(/*width=*/16, /*scale=*/8, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getUAccumSema() {
return FixedPointSemantics(/*width=*/32, /*scale=*/16, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getULAccumSema() {
return FixedPointSemantics(/*width=*/64, /*scale=*/32, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getUSFractSema() {
return FixedPointSemantics(/*width=*/8, /*scale=*/8, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getUFractSema() {
return FixedPointSemantics(/*width=*/16, /*scale=*/16, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getULFractSema() {
return FixedPointSemantics(/*width=*/32, /*scale=*/32, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/false);
}
FixedPointSemantics getPadUSAccumSema() {
return FixedPointSemantics(/*width=*/16, /*scale=*/7, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/true);
}
FixedPointSemantics getPadUAccumSema() {
return FixedPointSemantics(/*width=*/32, /*scale=*/15, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/true);
}
FixedPointSemantics getPadULAccumSema() {
return FixedPointSemantics(/*width=*/64, /*scale=*/31, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/true);
}
FixedPointSemantics getPadUSFractSema() {
return FixedPointSemantics(/*width=*/8, /*scale=*/7, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/true);
}
FixedPointSemantics getPadUFractSema() {
return FixedPointSemantics(/*width=*/16, /*scale=*/15, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/true);
}
FixedPointSemantics getPadULFractSema() {
return FixedPointSemantics(/*width=*/32, /*scale=*/31, /*isSigned=*/false,
/*isSaturated=*/false,
/*hasUnsignedPadding=*/true);
}
void CheckUnpaddedMax(const FixedPointSemantics &Sema) {
ASSERT_EQ(APFixedPoint::getMax(Sema).getValue(),
APSInt::getMaxValue(Sema.getWidth(), !Sema.isSigned()));
}
void CheckPaddedMax(const FixedPointSemantics &Sema) {
ASSERT_EQ(APFixedPoint::getMax(Sema).getValue(),
APSInt::getMaxValue(Sema.getWidth(), !Sema.isSigned()) >> 1);
}
void CheckMin(const FixedPointSemantics &Sema) {
ASSERT_EQ(APFixedPoint::getMin(Sema).getValue(),
APSInt::getMinValue(Sema.getWidth(), !Sema.isSigned()));
}
TEST(FixedPointTest, getMax) {
CheckUnpaddedMax(getSAccumSema());
CheckUnpaddedMax(getAccumSema());
CheckUnpaddedMax(getLAccumSema());
CheckUnpaddedMax(getUSAccumSema());
CheckUnpaddedMax(getUAccumSema());
CheckUnpaddedMax(getULAccumSema());
CheckUnpaddedMax(getSFractSema());
CheckUnpaddedMax(getFractSema());
CheckUnpaddedMax(getLFractSema());
CheckUnpaddedMax(getUSFractSema());
CheckUnpaddedMax(getUFractSema());
CheckUnpaddedMax(getULFractSema());
CheckPaddedMax(getPadUSAccumSema());
CheckPaddedMax(getPadUAccumSema());
CheckPaddedMax(getPadULAccumSema());
CheckPaddedMax(getPadUSFractSema());
CheckPaddedMax(getPadUFractSema());
CheckPaddedMax(getPadULFractSema());
}
TEST(FixedPointTest, getMin) {
CheckMin(getSAccumSema());
CheckMin(getAccumSema());
CheckMin(getLAccumSema());
CheckMin(getUSAccumSema());
CheckMin(getUAccumSema());
CheckMin(getULAccumSema());
CheckMin(getSFractSema());
CheckMin(getFractSema());
CheckMin(getLFractSema());
CheckMin(getUSFractSema());
CheckMin(getUFractSema());
CheckMin(getULFractSema());
CheckMin(getPadUSAccumSema());
CheckMin(getPadUAccumSema());
CheckMin(getPadULAccumSema());
CheckMin(getPadUSFractSema());
CheckMin(getPadUFractSema());
CheckMin(getPadULFractSema());
}
void CheckIntPart(const FixedPointSemantics &Sema, int64_t IntPart) {
unsigned Scale = Sema.getScale();
// Value with a fraction
APFixedPoint ValWithFract(APInt(Sema.getWidth(),
(IntPart << Scale) + (1ULL << (Scale - 1)),
Sema.isSigned()),
Sema);
ASSERT_EQ(ValWithFract.getIntPart(), IntPart);
// Just fraction
APFixedPoint JustFract(
APInt(Sema.getWidth(), (1ULL << (Scale - 1)), Sema.isSigned()), Sema);
ASSERT_EQ(JustFract.getIntPart(), 0);
// Whole number
APFixedPoint WholeNum(
APInt(Sema.getWidth(), (IntPart << Scale), Sema.isSigned()), Sema);
ASSERT_EQ(WholeNum.getIntPart(), IntPart);
// Negative
if (Sema.isSigned()) {
APFixedPoint Negative(
APInt(Sema.getWidth(), (IntPart << Scale), Sema.isSigned()), Sema);
ASSERT_EQ(Negative.getIntPart(), IntPart);
}
}
void CheckIntPartMin(const FixedPointSemantics &Sema, int64_t Expected) {
ASSERT_EQ(APFixedPoint::getMin(Sema).getIntPart(), Expected);
}
void CheckIntPartMax(const FixedPointSemantics &Sema, uint64_t Expected) {
ASSERT_EQ(APFixedPoint::getMax(Sema).getIntPart(), Expected);
}
TEST(FixedPoint, getIntPart) {
// Normal values
CheckIntPart(getSAccumSema(), 2);
CheckIntPart(getAccumSema(), 2);
CheckIntPart(getLAccumSema(), 2);
CheckIntPart(getUSAccumSema(), 2);
CheckIntPart(getUAccumSema(), 2);
CheckIntPart(getULAccumSema(), 2);
// Zero
CheckIntPart(getSAccumSema(), 0);
CheckIntPart(getAccumSema(), 0);
CheckIntPart(getLAccumSema(), 0);
CheckIntPart(getUSAccumSema(), 0);
CheckIntPart(getUAccumSema(), 0);
CheckIntPart(getULAccumSema(), 0);
CheckIntPart(getSFractSema(), 0);
CheckIntPart(getFractSema(), 0);
CheckIntPart(getLFractSema(), 0);
CheckIntPart(getUSFractSema(), 0);
CheckIntPart(getUFractSema(), 0);
CheckIntPart(getULFractSema(), 0);
// Min
CheckIntPartMin(getSAccumSema(), -256);
CheckIntPartMin(getAccumSema(), -65536);
CheckIntPartMin(getLAccumSema(), -4294967296);
CheckIntPartMin(getSFractSema(), -1);
CheckIntPartMin(getFractSema(), -1);
CheckIntPartMin(getLFractSema(), -1);
// Max
CheckIntPartMax(getSAccumSema(), 255);
CheckIntPartMax(getAccumSema(), 65535);
CheckIntPartMax(getLAccumSema(), 4294967295);
CheckIntPartMax(getUSAccumSema(), 255);
CheckIntPartMax(getUAccumSema(), 65535);
CheckIntPartMax(getULAccumSema(), 4294967295);
CheckIntPartMax(getSFractSema(), 0);
CheckIntPartMax(getFractSema(), 0);
CheckIntPartMax(getLFractSema(), 0);
CheckIntPartMax(getUSFractSema(), 0);
CheckIntPartMax(getUFractSema(), 0);
CheckIntPartMax(getULFractSema(), 0);
// Padded
// Normal Values
CheckIntPart(getPadUSAccumSema(), 2);
CheckIntPart(getPadUAccumSema(), 2);
CheckIntPart(getPadULAccumSema(), 2);
// Zero
CheckIntPart(getPadUSAccumSema(), 0);
CheckIntPart(getPadUAccumSema(), 0);
CheckIntPart(getPadULAccumSema(), 0);
CheckIntPart(getPadUSFractSema(), 0);
CheckIntPart(getPadUFractSema(), 0);
CheckIntPart(getPadULFractSema(), 0);
// Max
CheckIntPartMax(getPadUSAccumSema(), 255);
CheckIntPartMax(getPadUAccumSema(), 65535);
CheckIntPartMax(getPadULAccumSema(), 4294967295);
CheckIntPartMax(getPadUSFractSema(), 0);
CheckIntPartMax(getPadUFractSema(), 0);
CheckIntPartMax(getPadULFractSema(), 0);
}
TEST(FixedPoint, compare) {
// Equality
// With fractional part (2.5)
// Across sizes
ASSERT_EQ(APFixedPoint(320, getSAccumSema()),
APFixedPoint(81920, getAccumSema()));
ASSERT_EQ(APFixedPoint(320, getSAccumSema()),
APFixedPoint(5368709120, getLAccumSema()));
ASSERT_EQ(APFixedPoint(0, getSAccumSema()), APFixedPoint(0, getLAccumSema()));
// Across types (0.5)
ASSERT_EQ(APFixedPoint(64, getSAccumSema()),
APFixedPoint(64, getSFractSema()));
ASSERT_EQ(APFixedPoint(16384, getAccumSema()),
APFixedPoint(16384, getFractSema()));
ASSERT_EQ(APFixedPoint(1073741824, getLAccumSema()),
APFixedPoint(1073741824, getLFractSema()));
// Across widths and types (0.5)
ASSERT_EQ(APFixedPoint(64, getSAccumSema()),
APFixedPoint(16384, getFractSema()));
ASSERT_EQ(APFixedPoint(64, getSAccumSema()),
APFixedPoint(1073741824, getLFractSema()));
// Across saturation
ASSERT_EQ(APFixedPoint(320, getSAccumSema()),
APFixedPoint(81920, Saturated(getAccumSema())));
// Across signs
ASSERT_EQ(APFixedPoint(320, getSAccumSema()),
APFixedPoint(640, getUSAccumSema()));
ASSERT_EQ(APFixedPoint(-320, getSAccumSema()),
APFixedPoint(-81920, getAccumSema()));
// Across padding
ASSERT_EQ(APFixedPoint(320, getSAccumSema()),
APFixedPoint(320, getPadUSAccumSema()));
ASSERT_EQ(APFixedPoint(640, getUSAccumSema()),
APFixedPoint(320, getPadUSAccumSema()));
// Less than
ASSERT_LT(APFixedPoint(-1, getSAccumSema()), APFixedPoint(0, getAccumSema()));
ASSERT_LT(APFixedPoint(-1, getSAccumSema()),
APFixedPoint(0, getUAccumSema()));
ASSERT_LT(APFixedPoint(0, getSAccumSema()), APFixedPoint(1, getAccumSema()));
ASSERT_LT(APFixedPoint(0, getSAccumSema()), APFixedPoint(1, getUAccumSema()));
ASSERT_LT(APFixedPoint(0, getUSAccumSema()), APFixedPoint(1, getAccumSema()));
ASSERT_LT(APFixedPoint(0, getUSAccumSema()),
APFixedPoint(1, getUAccumSema()));
// Greater than
ASSERT_GT(APFixedPoint(0, getAccumSema()), APFixedPoint(-1, getSAccumSema()));
ASSERT_GT(APFixedPoint(0, getUAccumSema()),
APFixedPoint(-1, getSAccumSema()));
ASSERT_GT(APFixedPoint(1, getAccumSema()), APFixedPoint(0, getSAccumSema()));
ASSERT_GT(APFixedPoint(1, getUAccumSema()), APFixedPoint(0, getSAccumSema()));
ASSERT_GT(APFixedPoint(1, getAccumSema()), APFixedPoint(0, getUSAccumSema()));
ASSERT_GT(APFixedPoint(1, getUAccumSema()),
APFixedPoint(0, getUSAccumSema()));
}
// Check that a fixed point value in one sema is the same in another sema
void CheckUnsaturatedConversion(FixedPointSemantics Src,
FixedPointSemantics Dst, int64_t TestVal) {
int64_t ScaledVal = TestVal;
bool IsNegative = ScaledVal < 0;
if (IsNegative)
ScaledVal = -ScaledVal;
if (Dst.getScale() > Src.getScale()) {
ScaledVal <<= (Dst.getScale() - Src.getScale());
} else {
ScaledVal >>= (Src.getScale() - Dst.getScale());
}
if (IsNegative)
ScaledVal = -ScaledVal;
APFixedPoint Fixed(TestVal, Src);
APFixedPoint Expected(ScaledVal, Dst);
ASSERT_EQ(Fixed.convert(Dst), Expected);
}
// Check the value in a given fixed point sema overflows to the saturated min
// for another sema
void CheckSaturatedConversionMin(FixedPointSemantics Src,
FixedPointSemantics Dst, int64_t TestVal) {
APFixedPoint Fixed(TestVal, Src);
ASSERT_EQ(Fixed.convert(Dst), APFixedPoint::getMin(Dst));
}
// Check the value in a given fixed point sema overflows to the saturated max
// for another sema
void CheckSaturatedConversionMax(FixedPointSemantics Src,
FixedPointSemantics Dst, int64_t TestVal) {
APFixedPoint Fixed(TestVal, Src);
ASSERT_EQ(Fixed.convert(Dst), APFixedPoint::getMax(Dst));
}
// Check one signed _Accum sema converted to other sema for different values.
void CheckSignedAccumConversionsAgainstOthers(FixedPointSemantics Src,
int64_t OneVal) {
int64_t NormalVal = (OneVal * 2) + (OneVal / 2); // 2.5
int64_t HalfVal = (OneVal / 2); // 0.5
// +Accums to Accums
CheckUnsaturatedConversion(Src, getSAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getLAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getUSAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getUAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getULAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getPadUSAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getPadUAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getPadULAccumSema(), NormalVal);
// -Accums to Accums
CheckUnsaturatedConversion(Src, getSAccumSema(), -NormalVal);
CheckUnsaturatedConversion(Src, getAccumSema(), -NormalVal);
CheckUnsaturatedConversion(Src, getLAccumSema(), -NormalVal);
CheckSaturatedConversionMin(Src, Saturated(getUSAccumSema()), -NormalVal);
CheckSaturatedConversionMin(Src, Saturated(getUAccumSema()), -NormalVal);
CheckSaturatedConversionMin(Src, Saturated(getULAccumSema()), -NormalVal);
CheckSaturatedConversionMin(Src, Saturated(getPadUSAccumSema()), -NormalVal);
CheckSaturatedConversionMin(Src, Saturated(getPadUAccumSema()), -NormalVal);
CheckSaturatedConversionMin(Src, Saturated(getPadULAccumSema()), -NormalVal);
// +Accums to Fracts
CheckUnsaturatedConversion(Src, getSFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getLFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getUSFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getUFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getULFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getPadUSFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getPadUFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getPadULFractSema(), HalfVal);
// -Accums to Fracts
CheckUnsaturatedConversion(Src, getSFractSema(), -HalfVal);
CheckUnsaturatedConversion(Src, getFractSema(), -HalfVal);
CheckUnsaturatedConversion(Src, getLFractSema(), -HalfVal);
CheckSaturatedConversionMin(Src, Saturated(getUSFractSema()), -HalfVal);
CheckSaturatedConversionMin(Src, Saturated(getUFractSema()), -HalfVal);
CheckSaturatedConversionMin(Src, Saturated(getULFractSema()), -HalfVal);
CheckSaturatedConversionMin(Src, Saturated(getPadUSFractSema()), -HalfVal);
CheckSaturatedConversionMin(Src, Saturated(getPadUFractSema()), -HalfVal);
CheckSaturatedConversionMin(Src, Saturated(getPadULFractSema()), -HalfVal);
// 0 to Accums
CheckUnsaturatedConversion(Src, getSAccumSema(), 0);
CheckUnsaturatedConversion(Src, getAccumSema(), 0);
CheckUnsaturatedConversion(Src, getLAccumSema(), 0);
CheckUnsaturatedConversion(Src, getUSAccumSema(), 0);
CheckUnsaturatedConversion(Src, getUAccumSema(), 0);
CheckUnsaturatedConversion(Src, getULAccumSema(), 0);
CheckUnsaturatedConversion(Src, getPadUSAccumSema(), 0);
CheckUnsaturatedConversion(Src, getPadUAccumSema(), 0);
CheckUnsaturatedConversion(Src, getPadULAccumSema(), 0);
// 0 to Fracts
CheckUnsaturatedConversion(Src, getSFractSema(), 0);
CheckUnsaturatedConversion(Src, getFractSema(), 0);
CheckUnsaturatedConversion(Src, getLFractSema(), 0);
CheckUnsaturatedConversion(Src, getUSFractSema(), 0);
CheckUnsaturatedConversion(Src, getUFractSema(), 0);
CheckUnsaturatedConversion(Src, getULFractSema(), 0);
CheckUnsaturatedConversion(Src, getPadUSFractSema(), 0);
CheckUnsaturatedConversion(Src, getPadUFractSema(), 0);
CheckUnsaturatedConversion(Src, getPadULFractSema(), 0);
}
// Check one unsigned _Accum sema converted to other sema for different
// values.
void CheckUnsignedAccumConversionsAgainstOthers(FixedPointSemantics Src,
int64_t OneVal) {
int64_t NormalVal = (OneVal * 2) + (OneVal / 2); // 2.5
int64_t HalfVal = (OneVal / 2); // 0.5
// +UAccums to Accums
CheckUnsaturatedConversion(Src, getSAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getLAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getUSAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getUAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getULAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getPadUSAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getPadUAccumSema(), NormalVal);
CheckUnsaturatedConversion(Src, getPadULAccumSema(), NormalVal);
// +UAccums to Fracts
CheckUnsaturatedConversion(Src, getSFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getLFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getUSFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getUFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getULFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getPadUSFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getPadUFractSema(), HalfVal);
CheckUnsaturatedConversion(Src, getPadULFractSema(), HalfVal);
}
TEST(FixedPoint, AccumConversions) {
// Normal conversions
CheckSignedAccumConversionsAgainstOthers(getSAccumSema(), 128);
CheckUnsignedAccumConversionsAgainstOthers(getUSAccumSema(), 256);
CheckSignedAccumConversionsAgainstOthers(getAccumSema(), 32768);
CheckUnsignedAccumConversionsAgainstOthers(getUAccumSema(), 65536);
CheckSignedAccumConversionsAgainstOthers(getLAccumSema(), 2147483648);
CheckUnsignedAccumConversionsAgainstOthers(getULAccumSema(), 4294967296);
CheckUnsignedAccumConversionsAgainstOthers(getPadUSAccumSema(), 128);
CheckUnsignedAccumConversionsAgainstOthers(getPadUAccumSema(), 32768);
CheckUnsignedAccumConversionsAgainstOthers(getPadULAccumSema(), 2147483648);
}
TEST(FixedPoint, AccumConversionOverflow) {
// To SAccum max limit (65536)
CheckSaturatedConversionMax(getLAccumSema(), Saturated(getAccumSema()),
140737488355328);
CheckSaturatedConversionMax(getLAccumSema(), Saturated(getUAccumSema()),
140737488355328);
CheckSaturatedConversionMax(getLAccumSema(), Saturated(getPadUAccumSema()),
140737488355328);
CheckSaturatedConversionMax(getULAccumSema(), Saturated(getAccumSema()),
281474976710656);
CheckSaturatedConversionMax(getULAccumSema(), Saturated(getUAccumSema()),
281474976710656);
CheckSaturatedConversionMax(getULAccumSema(), Saturated(getPadUAccumSema()),
281474976710656);
CheckSaturatedConversionMax(getPadULAccumSema(), Saturated(getAccumSema()),
140737488355328);
CheckSaturatedConversionMax(getPadULAccumSema(), Saturated(getUAccumSema()),
140737488355328);
CheckSaturatedConversionMax(getPadULAccumSema(),
Saturated(getPadUAccumSema()), 140737488355328);
// To SAccum min limit (-65536)
CheckSaturatedConversionMin(getLAccumSema(), Saturated(getAccumSema()),
-140737488355328);
CheckSaturatedConversionMin(getLAccumSema(), Saturated(getUAccumSema()),
-140737488355328);
CheckSaturatedConversionMin(getLAccumSema(), Saturated(getPadUAccumSema()),
-140737488355328);
}
TEST(FixedPoint, SAccumConversionOverflow) {
// To SAccum max limit (256)
CheckSaturatedConversionMax(getAccumSema(), Saturated(getSAccumSema()),
8388608);
CheckSaturatedConversionMax(getAccumSema(), Saturated(getUSAccumSema()),
8388608);
CheckSaturatedConversionMax(getAccumSema(), Saturated(getPadUSAccumSema()),
8388608);
CheckSaturatedConversionMax(getUAccumSema(), Saturated(getSAccumSema()),
16777216);
CheckSaturatedConversionMax(getUAccumSema(), Saturated(getUSAccumSema()),
16777216);
CheckSaturatedConversionMax(getUAccumSema(), Saturated(getPadUSAccumSema()),
16777216);
CheckSaturatedConversionMax(getLAccumSema(), Saturated(getSAccumSema()),
549755813888);
CheckSaturatedConversionMax(getLAccumSema(), Saturated(getUSAccumSema()),
549755813888);
CheckSaturatedConversionMax(getLAccumSema(), Saturated(getPadUSAccumSema()),
549755813888);
CheckSaturatedConversionMax(getULAccumSema(), Saturated(getSAccumSema()),
1099511627776);
CheckSaturatedConversionMax(getULAccumSema(), Saturated(getUSAccumSema()),
1099511627776);
CheckSaturatedConversionMax(getULAccumSema(), Saturated(getPadUSAccumSema()),
1099511627776);
CheckSaturatedConversionMax(getPadUAccumSema(), Saturated(getSAccumSema()),
8388608);
CheckSaturatedConversionMax(getPadUAccumSema(), Saturated(getUSAccumSema()),
8388608);
CheckSaturatedConversionMax(getPadUAccumSema(),
Saturated(getPadUSAccumSema()), 8388608);
CheckSaturatedConversionMax(getPadULAccumSema(), Saturated(getSAccumSema()),
549755813888);
CheckSaturatedConversionMax(getPadULAccumSema(), Saturated(getUSAccumSema()),
549755813888);
CheckSaturatedConversionMax(getPadULAccumSema(),
Saturated(getPadUSAccumSema()), 549755813888);
// To SAccum min limit (-256)
CheckSaturatedConversionMin(getAccumSema(), Saturated(getSAccumSema()),
-8388608);
CheckSaturatedConversionMin(getAccumSema(), Saturated(getUSAccumSema()),
-8388608);
CheckSaturatedConversionMin(getAccumSema(), Saturated(getPadUSAccumSema()),
-8388608);
CheckSaturatedConversionMin(getLAccumSema(), Saturated(getSAccumSema()),
-549755813888);
CheckSaturatedConversionMin(getLAccumSema(), Saturated(getUSAccumSema()),
-549755813888);
CheckSaturatedConversionMin(getLAccumSema(), Saturated(getPadUSAccumSema()),
-549755813888);
}
TEST(FixedPoint, GetValueSignAfterConversion) {
APFixedPoint Fixed(255 << 7, getSAccumSema());
ASSERT_TRUE(Fixed.getValue().isSigned());
APFixedPoint UFixed = Fixed.convert(getUSAccumSema());
ASSERT_TRUE(UFixed.getValue().isUnsigned());
ASSERT_EQ(UFixed.getValue(), APSInt::getUnsigned(255 << 8).extOrTrunc(16));
}
TEST(FixedPoint, ModularWrapAround) {
// Positive to negative
APFixedPoint Val = APFixedPoint(1ULL << 7, getSAccumSema());
ASSERT_EQ(Val.convert(getLFractSema()).getValue(), -(1ULL << 31));
Val = APFixedPoint(1ULL << 23, getAccumSema());
ASSERT_EQ(Val.convert(getSAccumSema()).getValue(), -(1ULL << 15));
Val = APFixedPoint(1ULL << 47, getLAccumSema());
ASSERT_EQ(Val.convert(getAccumSema()).getValue(), -(1ULL << 31));
// Negative to positive
Val = APFixedPoint(/*-1.5*/ -192, getSAccumSema());
ASSERT_EQ(Val.convert(getLFractSema()).getValue(), 1ULL << 30);
Val = APFixedPoint(-(257 << 15), getAccumSema());
ASSERT_EQ(Val.convert(getSAccumSema()).getValue(), 255 << 7);
Val = APFixedPoint(-(65537ULL << 31), getLAccumSema());
ASSERT_EQ(Val.convert(getAccumSema()).getValue(), 65535 << 15);
// Signed to unsigned
Val = APFixedPoint(-(1 << 7), getSAccumSema());
ASSERT_EQ(Val.convert(getUSAccumSema()).getValue(), 255 << 8);
Val = APFixedPoint(-(1 << 15), getAccumSema());
ASSERT_EQ(Val.convert(getUAccumSema()).getValue(), 65535ULL << 16);
Val = APFixedPoint(-(1ULL << 31), getLAccumSema());
ASSERT_EQ(Val.convert(getULAccumSema()).getValue().getZExtValue(),
4294967295ULL << 32);
}
enum OvfKind { MinSat, MaxSat };
void CheckFloatToFixedConversion(APFloat &Val, const FixedPointSemantics &Sema,
int64_t ExpectedNonSat) {
bool Ovf;
ASSERT_EQ(APFixedPoint::getFromFloatValue(Val, Sema, &Ovf).getValue(),
ExpectedNonSat);
ASSERT_EQ(Ovf, false);
ASSERT_EQ(
APFixedPoint::getFromFloatValue(Val, Saturated(Sema), &Ovf).getValue(),
ExpectedNonSat);
ASSERT_EQ(Ovf, false);
}
void CheckFloatToFixedConversion(APFloat &Val, const FixedPointSemantics &Sema,
OvfKind ExpectedOvf) {
bool Ovf;
(void)APFixedPoint::getFromFloatValue(Val, Sema, &Ovf);
ASSERT_EQ(Ovf, true);
ASSERT_EQ(
APFixedPoint::getFromFloatValue(Val, Saturated(Sema), &Ovf).getValue(),
(ExpectedOvf == MinSat ? APFixedPoint::getMin(Sema)
: APFixedPoint::getMax(Sema))
.getValue());
ASSERT_EQ(Ovf, false);
}
TEST(FixedPoint, FloatToFixed) {
APFloat Val(0.0f);
// Simple exact fraction
Val = APFloat(0.75f);
CheckFloatToFixedConversion(Val, getSAccumSema(), 3ULL << 5);
CheckFloatToFixedConversion(Val, getAccumSema(), 3ULL << 13);
CheckFloatToFixedConversion(Val, getLAccumSema(), 3ULL << 29);
CheckFloatToFixedConversion(Val, getUSAccumSema(), 3ULL << 6);
CheckFloatToFixedConversion(Val, getUAccumSema(), 3ULL << 14);
CheckFloatToFixedConversion(Val, getULAccumSema(), 3ULL << 30);
CheckFloatToFixedConversion(Val, getSFractSema(), 3ULL << 5);
CheckFloatToFixedConversion(Val, getFractSema(), 3ULL << 13);
CheckFloatToFixedConversion(Val, getLFractSema(), 3ULL << 29);
CheckFloatToFixedConversion(Val, getUSFractSema(), 3ULL << 6);
CheckFloatToFixedConversion(Val, getUFractSema(), 3ULL << 14);
CheckFloatToFixedConversion(Val, getULFractSema(), 3ULL << 30);
// Simple negative exact fraction
Val = APFloat(-0.75f);
CheckFloatToFixedConversion(Val, getSAccumSema(), -3ULL << 5);
CheckFloatToFixedConversion(Val, getAccumSema(), -3ULL << 13);
CheckFloatToFixedConversion(Val, getLAccumSema(), -3ULL << 29);
CheckFloatToFixedConversion(Val, getUSAccumSema(), MinSat);
CheckFloatToFixedConversion(Val, getUAccumSema(), MinSat);
CheckFloatToFixedConversion(Val, getULAccumSema(), MinSat);
CheckFloatToFixedConversion(Val, getSFractSema(), -3ULL << 5);
CheckFloatToFixedConversion(Val, getFractSema(), -3ULL << 13);
CheckFloatToFixedConversion(Val, getLFractSema(), -3ULL << 29);
CheckFloatToFixedConversion(Val, getUSFractSema(), MinSat);
CheckFloatToFixedConversion(Val, getUFractSema(), MinSat);
CheckFloatToFixedConversion(Val, getULFractSema(), MinSat);
// Highly precise fraction
Val = APFloat(0.999999940395355224609375f);
CheckFloatToFixedConversion(Val, getSAccumSema(), 0x7FULL);
CheckFloatToFixedConversion(Val, getAccumSema(), 0x7FFFULL);
CheckFloatToFixedConversion(Val, getLAccumSema(), 0xFFFFFFULL << 7);
CheckFloatToFixedConversion(Val, getUSAccumSema(), 0xFFULL);
CheckFloatToFixedConversion(Val, getUAccumSema(), 0xFFFFULL);
CheckFloatToFixedConversion(Val, getULAccumSema(), 0xFFFFFFULL << 8);
CheckFloatToFixedConversion(Val, getSFractSema(), 0x7FULL);
CheckFloatToFixedConversion(Val, getFractSema(), 0x7FFFULL);
CheckFloatToFixedConversion(Val, getLFractSema(), 0xFFFFFFULL << 7);
CheckFloatToFixedConversion(Val, getUSFractSema(), 0xFFULL);
CheckFloatToFixedConversion(Val, getUFractSema(), 0xFFFFULL);
CheckFloatToFixedConversion(Val, getULFractSema(), 0xFFFFFFULL << 8);
// Integral and fraction
Val = APFloat(17.99609375f);
CheckFloatToFixedConversion(Val, getSAccumSema(), 0x11FFULL >> 1);
CheckFloatToFixedConversion(Val, getAccumSema(), 0x11FFULL << 7);
CheckFloatToFixedConversion(Val, getLAccumSema(), 0x11FFULL << 23);
CheckFloatToFixedConversion(Val, getUSAccumSema(), 0x11FFULL);
CheckFloatToFixedConversion(Val, getUAccumSema(), 0x11FFULL << 8);
CheckFloatToFixedConversion(Val, getULAccumSema(), 0x11FFULL << 24);
CheckFloatToFixedConversion(Val, getSFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getLFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getUSFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getUFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getULFractSema(), MaxSat);
// Negative integral and fraction
Val = APFloat(-17.99609375f);
CheckFloatToFixedConversion(Val, getSAccumSema(), -0x11FELL >> 1);
CheckFloatToFixedConversion(Val, getAccumSema(), -0x11FFULL << 7);
CheckFloatToFixedConversion(Val, getLAccumSema(), -0x11FFULL << 23);
CheckFloatToFixedConversion(Val, getUSAccumSema(), MinSat);
CheckFloatToFixedConversion(Val, getUAccumSema(), MinSat);
CheckFloatToFixedConversion(Val, getULAccumSema(), MinSat);
CheckFloatToFixedConversion(Val, getSFractSema(), MinSat);
CheckFloatToFixedConversion(Val, getFractSema(), MinSat);
CheckFloatToFixedConversion(Val, getLFractSema(), MinSat);
CheckFloatToFixedConversion(Val, getUSFractSema(), MinSat);
CheckFloatToFixedConversion(Val, getUFractSema(), MinSat);
CheckFloatToFixedConversion(Val, getULFractSema(), MinSat);
// Very large value
Val = APFloat(1.0e38f);
CheckFloatToFixedConversion(Val, getSAccumSema(), MaxSat);
CheckFloatToFixedConversion(Val, getAccumSema(), MaxSat);
CheckFloatToFixedConversion(Val, getLAccumSema(), MaxSat);
CheckFloatToFixedConversion(Val, getUSAccumSema(), MaxSat);
CheckFloatToFixedConversion(Val, getUAccumSema(), MaxSat);
CheckFloatToFixedConversion(Val, getULAccumSema(), MaxSat);
CheckFloatToFixedConversion(Val, getSFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getLFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getUSFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getUFractSema(), MaxSat);
CheckFloatToFixedConversion(Val, getULFractSema(), MaxSat);
// Very small value
Val = APFloat(1.0e-38f);
CheckFloatToFixedConversion(Val, getSAccumSema(), 0);
CheckFloatToFixedConversion(Val, getAccumSema(), 0);
CheckFloatToFixedConversion(Val, getLAccumSema(), 0);
CheckFloatToFixedConversion(Val, getUSAccumSema(), 0);
CheckFloatToFixedConversion(Val, getUAccumSema(), 0);
CheckFloatToFixedConversion(Val, getULAccumSema(), 0);
CheckFloatToFixedConversion(Val, getSFractSema(), 0);
CheckFloatToFixedConversion(Val, getFractSema(), 0);
CheckFloatToFixedConversion(Val, getLFractSema(), 0);
CheckFloatToFixedConversion(Val, getUSFractSema(), 0);
CheckFloatToFixedConversion(Val, getUFractSema(), 0);
CheckFloatToFixedConversion(Val, getULFractSema(), 0);
// Half conversion
Val = APFloat(0.99951171875f);
bool Ignored;
Val.convert(APFloat::IEEEhalf(), APFloat::rmNearestTiesToEven, &Ignored);
CheckFloatToFixedConversion(Val, getSAccumSema(), 0x7FULL);
CheckFloatToFixedConversion(Val, getAccumSema(), 0x7FFULL << 4);
CheckFloatToFixedConversion(Val, getLAccumSema(), 0x7FFULL << 20);
CheckFloatToFixedConversion(Val, getUSAccumSema(), 0xFFULL);
CheckFloatToFixedConversion(Val, getUAccumSema(), 0xFFEULL << 4);
CheckFloatToFixedConversion(Val, getULAccumSema(), 0xFFEULL << 20);
CheckFloatToFixedConversion(Val, getSFractSema(), 0x7FULL);
CheckFloatToFixedConversion(Val, getFractSema(), 0x7FFULL << 4);
CheckFloatToFixedConversion(Val, getLFractSema(), 0x7FFULL << 20);
CheckFloatToFixedConversion(Val, getUSFractSema(), 0xFFULL);
CheckFloatToFixedConversion(Val, getUFractSema(), 0xFFEULL << 4);
CheckFloatToFixedConversion(Val, getULFractSema(), 0xFFEULL << 20);
}
void CheckFixedToFloatConversion(int64_t Val, const FixedPointSemantics &Sema,
float Result) {
APFixedPoint FXVal(Val, Sema);
APFloat APRes(Result);
ASSERT_EQ(FXVal.convertToFloat(APFloat::IEEEsingle()), APRes);
}
void CheckFixedToHalfConversion(int64_t Val, const FixedPointSemantics &Sema,
float Result) {
APFixedPoint FXVal(Val, Sema);
APFloat APRes(Result);
bool Ignored;
APRes.convert(APFloat::IEEEhalf(), APFloat::rmNearestTiesToEven, &Ignored);
ASSERT_EQ(FXVal.convertToFloat(APFloat::IEEEhalf()), APRes);
}
TEST(FixedPoint, FixedToFloat) {
int64_t Val = 0x1ULL;
CheckFixedToFloatConversion(Val, getSAccumSema(), 0.0078125f);
CheckFixedToFloatConversion(Val, getFractSema(), 0.000030517578125f);
CheckFixedToFloatConversion(Val, getAccumSema(), 0.000030517578125f);
CheckFixedToFloatConversion(Val, getLFractSema(),
0.0000000004656612873077392578125f);
CheckFixedToFloatConversion(Val, getUSAccumSema(), 0.00390625f);
CheckFixedToFloatConversion(Val, getUFractSema(), 0.0000152587890625f);
CheckFixedToFloatConversion(Val, getUAccumSema(), 0.0000152587890625f);
CheckFixedToFloatConversion(Val, getULFractSema(),
0.00000000023283064365386962890625f);
Val = 0x7FULL;
CheckFixedToFloatConversion(Val, getSAccumSema(), 0.9921875f);
CheckFixedToFloatConversion(Val, getFractSema(), 0.003875732421875f);
CheckFixedToFloatConversion(Val, getAccumSema(), 0.003875732421875f);
CheckFixedToFloatConversion(Val, getLFractSema(),
0.0000000591389834880828857421875f);
CheckFixedToFloatConversion(Val, getUSAccumSema(), 0.49609375f);
CheckFixedToFloatConversion(Val, getUFractSema(), 0.0019378662109375f);
CheckFixedToFloatConversion(Val, getUAccumSema(), 0.0019378662109375f);
CheckFixedToFloatConversion(Val, getULFractSema(),
0.00000002956949174404144287109375f);
Val = -0x1ULL;
CheckFixedToFloatConversion(Val, getSAccumSema(), -0.0078125f);
CheckFixedToFloatConversion(Val, getFractSema(), -0.000030517578125f);
CheckFixedToFloatConversion(Val, getAccumSema(), -0.000030517578125f);
CheckFixedToFloatConversion(Val, getLFractSema(),
-0.0000000004656612873077392578125f);
CheckFixedToFloatConversion(-0x80ULL, getSAccumSema(), -1.0f);
CheckFixedToFloatConversion(-0x8000ULL, getFractSema(), -1.0f);
CheckFixedToFloatConversion(-0x8000ULL, getAccumSema(), -1.0f);
CheckFixedToFloatConversion(-0x80000000ULL, getLFractSema(), -1.0f);
Val = 0xAFAULL;
CheckFixedToFloatConversion(Val, getSAccumSema(), 21.953125f);
CheckFixedToFloatConversion(Val, getFractSema(), 0.08575439453125f);
CheckFixedToFloatConversion(Val, getAccumSema(), 0.08575439453125f);
CheckFixedToFloatConversion(Val, getLFractSema(),
0.000001308508217334747314453125f);
CheckFixedToFloatConversion(Val, getUSAccumSema(), 10.9765625f);
CheckFixedToFloatConversion(Val, getUFractSema(), 0.042877197265625f);
CheckFixedToFloatConversion(Val, getUAccumSema(), 0.042877197265625f);
CheckFixedToFloatConversion(Val, getULFractSema(),
0.0000006542541086673736572265625f);
Val = -0xAFAULL;
CheckFixedToFloatConversion(Val, getSAccumSema(), -21.953125f);
CheckFixedToFloatConversion(Val, getFractSema(), -0.08575439453125f);
CheckFixedToFloatConversion(Val, getAccumSema(), -0.08575439453125f);
CheckFixedToFloatConversion(Val, getLFractSema(),
-0.000001308508217334747314453125f);
Val = 0x40000080ULL;
CheckFixedToFloatConversion(Val, getAccumSema(), 32768.00390625f);
CheckFixedToFloatConversion(Val, getLFractSema(),
0.500000059604644775390625f);
CheckFixedToFloatConversion(Val, getUAccumSema(), 16384.001953125f);
CheckFixedToFloatConversion(Val, getULFractSema(),
0.2500000298023223876953125f);
Val = 0x40000040ULL;
CheckFixedToFloatConversion(Val, getAccumSema(), 32768.0f);
CheckFixedToFloatConversion(Val, getLFractSema(), 0.5f);
CheckFixedToFloatConversion(Val, getUAccumSema(), 16384.0f);
CheckFixedToFloatConversion(Val, getULFractSema(), 0.25f);
Val = 0x7FF0ULL;
CheckFixedToHalfConversion(Val, getAccumSema(), 0.99951171875f);
CheckFixedToHalfConversion(Val, getLFractSema(), 0.000015251338481903076171875f);
CheckFixedToHalfConversion(Val, getUAccumSema(), 0.499755859375f);
CheckFixedToHalfConversion(Val, getULFractSema(), 0.0000076256692409515380859375f);
}
} // namespace
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