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539 lines
18 KiB
539 lines
18 KiB
#include "fp-testing.h"
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#include "testing.h"
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#include "flang/Evaluate/type.h"
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#include "llvm/Support/raw_ostream.h"
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#include <cmath>
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#include <cstdio>
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#include <cstdlib>
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#include <type_traits>
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using namespace Fortran::evaluate;
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using namespace Fortran::common;
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using Real2 = Scalar<Type<TypeCategory::Real, 2>>;
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using Real3 = Scalar<Type<TypeCategory::Real, 3>>;
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using Real4 = Scalar<Type<TypeCategory::Real, 4>>;
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using Real8 = Scalar<Type<TypeCategory::Real, 8>>;
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using Real10 = Scalar<Type<TypeCategory::Real, 10>>;
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using Real16 = Scalar<Type<TypeCategory::Real, 16>>;
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using Integer4 = Scalar<Type<TypeCategory::Integer, 4>>;
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using Integer8 = Scalar<Type<TypeCategory::Integer, 8>>;
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void dumpTest() {
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struct {
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std::uint64_t raw;
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const char *expected;
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} table[] = {
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{0x7f876543, "NaN 0x7f876543"},
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{0x7f800000, "Inf"},
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{0xff800000, "-Inf"},
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{0x00000000, "0.0"},
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{0x80000000, "-0.0"},
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{0x3f800000, "0x1.0p0"},
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{0xbf800000, "-0x1.0p0"},
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{0x40000000, "0x1.0p1"},
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{0x3f000000, "0x1.0p-1"},
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{0x7f7fffff, "0x1.fffffep127"},
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{0x00800000, "0x1.0p-126"},
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{0x00400000, "0x0.8p-127"},
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{0x00000001, "0x0.000002p-127"},
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{0, nullptr},
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};
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for (int j{0}; table[j].expected != nullptr; ++j) {
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TEST(Real4{Integer4{table[j].raw}}.DumpHexadecimal() == table[j].expected)
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("%d", j);
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}
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}
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template <typename R> void basicTests(int rm, Rounding rounding) {
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static constexpr int kind{R::bits / 8};
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char desc[64];
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using Word = typename R::Word;
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std::snprintf(desc, sizeof desc, "bits=%d, le=%d, kind=%d", R::bits,
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Word::littleEndian, kind);
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R zero;
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TEST(!zero.IsNegative())(desc);
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TEST(!zero.IsNotANumber())(desc);
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TEST(!zero.IsInfinite())(desc);
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TEST(zero.IsZero())(desc);
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MATCH(0, zero.Exponent())(desc);
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TEST(zero.RawBits().IsZero())(desc);
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MATCH(0, zero.RawBits().ToUInt64())(desc);
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TEST(zero.ABS().RawBits().IsZero())(desc);
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TEST(zero.Negate().RawBits().IEOR(Word::MASKL(1)).IsZero())(desc);
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TEST(zero.Compare(zero) == Relation::Equal)(desc);
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R minusZero{Word{std::uint64_t{1}}.SHIFTL(R::bits - 1)};
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TEST(minusZero.IsNegative())(desc);
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TEST(!minusZero.IsNotANumber())(desc);
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TEST(!minusZero.IsInfinite())(desc);
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TEST(minusZero.IsZero())(desc);
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TEST(minusZero.ABS().RawBits().IsZero())(desc);
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TEST(minusZero.Negate().RawBits().IsZero())(desc);
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MATCH(0, minusZero.Exponent())(desc);
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MATCH(0, minusZero.RawBits().LEADZ())(desc);
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MATCH(1, minusZero.RawBits().POPCNT())(desc);
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TEST(minusZero.Compare(minusZero) == Relation::Equal)(desc);
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TEST(zero.Compare(minusZero) == Relation::Equal)(desc);
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ValueWithRealFlags<R> vr;
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MATCH(0, vr.value.RawBits().ToUInt64())(desc);
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TEST(vr.flags.empty())(desc);
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R nan{Word{std::uint64_t{1}}
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.SHIFTL(R::bits)
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.SubtractSigned(Word{std::uint64_t{1}})
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.value};
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MATCH(R::bits, nan.RawBits().POPCNT())(desc);
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TEST(!nan.IsNegative())(desc);
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TEST(nan.IsNotANumber())(desc);
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TEST(!nan.IsInfinite())(desc);
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TEST(!nan.IsZero())(desc);
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TEST(zero.Compare(nan) == Relation::Unordered)(desc);
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TEST(minusZero.Compare(nan) == Relation::Unordered)(desc);
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TEST(nan.Compare(zero) == Relation::Unordered)(desc);
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TEST(nan.Compare(minusZero) == Relation::Unordered)(desc);
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TEST(nan.Compare(nan) == Relation::Unordered)(desc);
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int significandBits{R::binaryPrecision - R::isImplicitMSB};
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int exponentBits{R::bits - significandBits - 1};
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std::uint64_t maxExponent{(std::uint64_t{1} << exponentBits) - 1};
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MATCH(nan.Exponent(), maxExponent)(desc);
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R inf{Word{maxExponent}.SHIFTL(significandBits)};
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TEST(!inf.IsNegative())(desc);
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TEST(!inf.IsNotANumber())(desc);
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TEST(inf.IsInfinite())(desc);
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TEST(!inf.IsZero())(desc);
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TEST(inf.RawBits().CompareUnsigned(inf.ABS().RawBits()) == Ordering::Equal)
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(desc);
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TEST(zero.Compare(inf) == Relation::Less)(desc);
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TEST(minusZero.Compare(inf) == Relation::Less)(desc);
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TEST(nan.Compare(inf) == Relation::Unordered)(desc);
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TEST(inf.Compare(inf) == Relation::Equal)(desc);
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R negInf{Word{maxExponent}.SHIFTL(significandBits).IOR(Word::MASKL(1))};
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TEST(negInf.IsNegative())(desc);
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TEST(!negInf.IsNotANumber())(desc);
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TEST(negInf.IsInfinite())(desc);
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TEST(!negInf.IsZero())(desc);
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TEST(inf.RawBits().CompareUnsigned(negInf.ABS().RawBits()) == Ordering::Equal)
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(desc);
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TEST(inf.RawBits().CompareUnsigned(negInf.Negate().RawBits()) ==
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Ordering::Equal)
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(desc);
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TEST(inf.Negate().RawBits().CompareUnsigned(negInf.RawBits()) ==
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Ordering::Equal)
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(desc);
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TEST(zero.Compare(negInf) == Relation::Greater)(desc);
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TEST(minusZero.Compare(negInf) == Relation::Greater)(desc);
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TEST(nan.Compare(negInf) == Relation::Unordered)(desc);
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TEST(inf.Compare(negInf) == Relation::Greater)(desc);
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TEST(negInf.Compare(negInf) == Relation::Equal)(desc);
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for (std::uint64_t j{0}; j < 63; ++j) {
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char ldesc[128];
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std::uint64_t x{1};
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x <<= j;
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std::snprintf(ldesc, sizeof ldesc, "%s j=%d x=0x%jx rm=%d", desc,
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static_cast<int>(j), static_cast<std::intmax_t>(x), rm);
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Integer8 ix{x};
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TEST(!ix.IsNegative())(ldesc);
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MATCH(x, ix.ToUInt64())(ldesc);
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vr = R::FromInteger(ix, rounding);
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TEST(!vr.value.IsNegative())(ldesc);
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TEST(!vr.value.IsNotANumber())(ldesc);
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TEST(!vr.value.IsZero())(ldesc);
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auto ivf = vr.value.template ToInteger<Integer8>();
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if (j > (maxExponent / 2)) {
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TEST(vr.flags.test(RealFlag::Overflow))(ldesc);
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TEST(vr.value.IsInfinite())(ldesc);
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TEST(ivf.flags.test(RealFlag::Overflow))(ldesc);
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MATCH(0x7fffffffffffffff, ivf.value.ToUInt64())(ldesc);
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} else {
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TEST(vr.flags.empty())(ldesc);
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TEST(!vr.value.IsInfinite())(ldesc);
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TEST(ivf.flags.empty())(ldesc);
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MATCH(x, ivf.value.ToUInt64())(ldesc);
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if (rounding.mode == RoundingMode::TiesToEven) { // to match stold()
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std::string buf;
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llvm::raw_string_ostream ss{buf};
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vr.value.AsFortran(ss, kind, false /*exact*/);
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std::string decimal{ss.str()};
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const char *p{decimal.data()};
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MATCH(x, static_cast<std::uint64_t>(std::stold(decimal)))
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("%s %s", ldesc, p);
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auto check{R::Read(p, rounding)};
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auto icheck{check.value.template ToInteger<Integer8>()};
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MATCH(x, icheck.value.ToUInt64())(ldesc);
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TEST(vr.value.Compare(check.value) == Relation::Equal)(ldesc);
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}
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}
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TEST(vr.value.ToWholeNumber().value.Compare(vr.value) == Relation::Equal)
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(ldesc);
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ix = ix.Negate().value;
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TEST(ix.IsNegative())(ldesc);
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x = -x;
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std::int64_t nx = x;
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MATCH(x, ix.ToUInt64())(ldesc);
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MATCH(nx, ix.ToInt64())(ldesc);
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vr = R::FromInteger(ix);
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TEST(vr.value.IsNegative())(ldesc);
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TEST(!vr.value.IsNotANumber())(ldesc);
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TEST(!vr.value.IsZero())(ldesc);
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ivf = vr.value.template ToInteger<Integer8>();
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if (j > (maxExponent / 2)) {
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TEST(vr.flags.test(RealFlag::Overflow))(ldesc);
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TEST(vr.value.IsInfinite())(ldesc);
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TEST(ivf.flags.test(RealFlag::Overflow))(ldesc);
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MATCH(0x8000000000000000, ivf.value.ToUInt64())(ldesc);
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} else {
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TEST(vr.flags.empty())(ldesc);
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TEST(!vr.value.IsInfinite())(ldesc);
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TEST(ivf.flags.empty())(ldesc);
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MATCH(x, ivf.value.ToUInt64())(ldesc);
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MATCH(nx, ivf.value.ToInt64())(ldesc);
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}
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TEST(vr.value.ToWholeNumber().value.Compare(vr.value) == Relation::Equal)
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(ldesc);
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}
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}
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// Takes an integer and distributes its bits across a floating
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// point value. The LSB is used to complement the result.
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std::uint32_t MakeReal(std::uint32_t n) {
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int shifts[] = {-1, 31, 23, 30, 22, 0, 24, 29, 25, 28, 26, 1, 16, 21, 2, -1};
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std::uint32_t x{0};
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for (int j{1}; shifts[j] >= 0; ++j) {
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x |= ((n >> j) & 1) << shifts[j];
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}
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x ^= -(n & 1);
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return x;
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}
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std::uint64_t MakeReal(std::uint64_t n) {
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int shifts[] = {
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-1, 63, 52, 62, 51, 0, 53, 61, 54, 60, 55, 59, 1, 16, 50, 2, -1};
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std::uint64_t x{0};
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for (int j{1}; shifts[j] >= 0; ++j) {
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x |= ((n >> j) & 1) << shifts[j];
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}
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x ^= -(n & 1);
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return x;
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}
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inline bool IsNaN(std::uint32_t x) {
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return (x & 0x7f800000) == 0x7f800000 && (x & 0x007fffff) != 0;
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}
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inline bool IsNaN(std::uint64_t x) {
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return (x & 0x7ff0000000000000) == 0x7ff0000000000000 &&
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(x & 0x000fffffffffffff) != 0;
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}
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inline bool IsInfinite(std::uint32_t x) {
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return (x & 0x7fffffff) == 0x7f800000;
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}
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inline bool IsInfinite(std::uint64_t x) {
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return (x & 0x7fffffffffffffff) == 0x7ff0000000000000;
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}
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inline bool IsNegative(std::uint32_t x) { return (x & 0x80000000) != 0; }
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inline bool IsNegative(std::uint64_t x) {
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return (x & 0x8000000000000000) != 0;
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}
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inline std::uint32_t NormalizeNaN(std::uint32_t x) {
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if (IsNaN(x)) {
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x = 0x7fe00000;
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}
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return x;
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}
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inline std::uint64_t NormalizeNaN(std::uint64_t x) {
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if (IsNaN(x)) {
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x = 0x7ffc000000000000;
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}
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return x;
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}
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enum FlagBits {
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Overflow = 1,
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DivideByZero = 2,
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InvalidArgument = 4,
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Underflow = 8,
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Inexact = 16,
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};
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#ifdef __clang__
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// clang support for fenv.h is broken, so tests of flag settings
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// are disabled.
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inline std::uint32_t FlagsToBits(const RealFlags &) { return 0; }
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#else
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inline std::uint32_t FlagsToBits(const RealFlags &flags) {
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std::uint32_t bits{0};
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if (flags.test(RealFlag::Overflow)) {
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bits |= Overflow;
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}
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if (flags.test(RealFlag::DivideByZero)) {
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bits |= DivideByZero;
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}
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if (flags.test(RealFlag::InvalidArgument)) {
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bits |= InvalidArgument;
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}
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if (flags.test(RealFlag::Underflow)) {
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bits |= Underflow;
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}
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if (flags.test(RealFlag::Inexact)) {
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bits |= Inexact;
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}
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return bits;
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}
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#endif // __clang__
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template <typename UINT = std::uint32_t, typename FLT = float, typename REAL>
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void inttest(std::int64_t x, int pass, Rounding rounding) {
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union {
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UINT ui;
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FLT f;
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} u;
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ScopedHostFloatingPointEnvironment fpenv;
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Integer8 ix{x};
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ValueWithRealFlags<REAL> real;
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real = real.value.FromInteger(ix, rounding);
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#ifndef __clang__ // broken and also slow
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fpenv.ClearFlags();
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#endif
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FLT fcheck = x; // TODO unsigned too
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auto actualFlags{FlagsToBits(fpenv.CurrentFlags())};
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u.f = fcheck;
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UINT rcheck{NormalizeNaN(u.ui)};
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UINT check = real.value.RawBits().ToUInt64();
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MATCH(rcheck, check)("%d 0x%llx", pass, x);
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MATCH(actualFlags, FlagsToBits(real.flags))("%d 0x%llx", pass, x);
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}
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template <typename FLT = float> FLT ToIntPower(FLT x, int power) {
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if (power == 0) {
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return x / x;
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}
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bool negative{power < 0};
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if (negative) {
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power = -power;
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}
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FLT result{1};
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while (power > 0) {
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if (power & 1) {
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result *= x;
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}
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x *= x;
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power >>= 1;
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}
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if (negative) {
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result = 1.0 / result;
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}
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return result;
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}
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template <typename FLT, int decimalDigits>
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FLT TimesIntPowerOfTen(FLT x, int power) {
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if (power > decimalDigits || power < -decimalDigits) {
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auto maxExactPowerOfTen{
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TimesIntPowerOfTen<FLT, decimalDigits>(1, decimalDigits)};
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auto big{ToIntPower<FLT>(maxExactPowerOfTen, power / decimalDigits)};
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auto small{
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TimesIntPowerOfTen<FLT, decimalDigits>(1, power % decimalDigits)};
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return (x * big) * small;
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}
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return x * ToIntPower<FLT>(10.0, power);
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}
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template <typename UINT = std::uint32_t, typename FLT = float,
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typename REAL = Real4>
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void subsetTests(int pass, Rounding rounding, std::uint32_t opds) {
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for (int j{0}; j < 63; ++j) {
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std::int64_t x{1};
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x <<= j;
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inttest<UINT, FLT, REAL>(x, pass, rounding);
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inttest<UINT, FLT, REAL>(-x, pass, rounding);
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}
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inttest<UINT, FLT, REAL>(0, pass, rounding);
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inttest<UINT, FLT, REAL>(
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static_cast<std::int64_t>(0x8000000000000000), pass, rounding);
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union {
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UINT ui;
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FLT f;
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} u;
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ScopedHostFloatingPointEnvironment fpenv;
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for (UINT j{0}; j < opds; ++j) {
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UINT rj{MakeReal(j)};
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u.ui = rj;
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FLT fj{u.f};
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REAL x{typename REAL::Word{std::uint64_t{rj}}};
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// unary operations
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{
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ValueWithRealFlags<REAL> aint{x.ToWholeNumber()};
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#ifndef __clang__ // broken and also slow
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fpenv.ClearFlags();
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#endif
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FLT fcheck{std::trunc(fj)};
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auto actualFlags{FlagsToBits(fpenv.CurrentFlags())};
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actualFlags &= ~Inexact; // x86 std::trunc can set Inexact; AINT ain't
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u.f = fcheck;
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#ifndef __clang__
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if (IsNaN(u.ui)) {
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actualFlags |= InvalidArgument; // x86 std::trunc(NaN) workaround
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}
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#endif
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UINT rcheck{NormalizeNaN(u.ui)};
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UINT check = aint.value.RawBits().ToUInt64();
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MATCH(rcheck, check)
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("%d AINT(0x%jx)", pass, static_cast<std::intmax_t>(rj));
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MATCH(actualFlags, FlagsToBits(aint.flags))
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("%d AINT(0x%jx)", pass, static_cast<std::intmax_t>(rj));
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}
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{
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MATCH(IsNaN(rj), x.IsNotANumber())
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("%d IsNaN(0x%jx)", pass, static_cast<std::intmax_t>(rj));
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MATCH(IsInfinite(rj), x.IsInfinite())
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("%d IsInfinite(0x%jx)", pass, static_cast<std::intmax_t>(rj));
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static constexpr int kind{REAL::bits / 8};
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std::string ssBuf, cssBuf;
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llvm::raw_string_ostream ss{ssBuf};
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llvm::raw_string_ostream css{cssBuf};
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x.AsFortran(ss, kind, false /*exact*/);
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std::string s{ss.str()};
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if (IsNaN(rj)) {
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css << "(0._" << kind << "/0.)";
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MATCH(css.str(), s)
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("%d invalid(0x%jx)", pass, static_cast<std::intmax_t>(rj));
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} else if (IsInfinite(rj)) {
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css << '(';
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if (IsNegative(rj)) {
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css << '-';
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}
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css << "1._" << kind << "/0.)";
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MATCH(css.str(), s)
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("%d overflow(0x%jx)", pass, static_cast<std::intmax_t>(rj));
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} else {
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const char *p = s.data();
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if (*p == '(') {
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++p;
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}
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auto readBack{REAL::Read(p, rounding)};
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MATCH(rj, readBack.value.RawBits().ToUInt64())
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("%d Read(AsFortran()) 0x%jx %s %g", pass,
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static_cast<std::intmax_t>(rj), s.data(), static_cast<double>(fj));
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MATCH('_', *p)
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("%d Read(AsFortran()) 0x%jx %s %d", pass,
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static_cast<std::intmax_t>(rj), s.data(),
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static_cast<int>(p - s.data()));
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}
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}
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// dyadic operations
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for (UINT k{0}; k < opds; ++k) {
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UINT rk{MakeReal(k)};
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|
u.ui = rk;
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|
FLT fk{u.f};
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|
REAL y{typename REAL::Word{std::uint64_t{rk}}};
|
|
{
|
|
ValueWithRealFlags<REAL> sum{x.Add(y, rounding)};
|
|
#ifndef __clang__ // broken and also slow
|
|
fpenv.ClearFlags();
|
|
#endif
|
|
FLT fcheck{fj + fk};
|
|
auto actualFlags{FlagsToBits(fpenv.CurrentFlags())};
|
|
u.f = fcheck;
|
|
UINT rcheck{NormalizeNaN(u.ui)};
|
|
UINT check = sum.value.RawBits().ToUInt64();
|
|
MATCH(rcheck, check)
|
|
("%d 0x%jx + 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
MATCH(actualFlags, FlagsToBits(sum.flags))
|
|
("%d 0x%jx + 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
}
|
|
{
|
|
ValueWithRealFlags<REAL> diff{x.Subtract(y, rounding)};
|
|
#ifndef __clang__ // broken and also slow
|
|
fpenv.ClearFlags();
|
|
#endif
|
|
FLT fcheck{fj - fk};
|
|
auto actualFlags{FlagsToBits(fpenv.CurrentFlags())};
|
|
u.f = fcheck;
|
|
UINT rcheck{NormalizeNaN(u.ui)};
|
|
UINT check = diff.value.RawBits().ToUInt64();
|
|
MATCH(rcheck, check)
|
|
("%d 0x%jx - 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
MATCH(actualFlags, FlagsToBits(diff.flags))
|
|
("%d 0x%jx - 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
}
|
|
{
|
|
ValueWithRealFlags<REAL> prod{x.Multiply(y, rounding)};
|
|
#ifndef __clang__ // broken and also slow
|
|
fpenv.ClearFlags();
|
|
#endif
|
|
FLT fcheck{fj * fk};
|
|
auto actualFlags{FlagsToBits(fpenv.CurrentFlags())};
|
|
u.f = fcheck;
|
|
UINT rcheck{NormalizeNaN(u.ui)};
|
|
UINT check = prod.value.RawBits().ToUInt64();
|
|
MATCH(rcheck, check)
|
|
("%d 0x%jx * 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
MATCH(actualFlags, FlagsToBits(prod.flags))
|
|
("%d 0x%jx * 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
}
|
|
{
|
|
ValueWithRealFlags<REAL> quot{x.Divide(y, rounding)};
|
|
#ifndef __clang__ // broken and also slow
|
|
fpenv.ClearFlags();
|
|
#endif
|
|
FLT fcheck{fj / fk};
|
|
auto actualFlags{FlagsToBits(fpenv.CurrentFlags())};
|
|
u.f = fcheck;
|
|
UINT rcheck{NormalizeNaN(u.ui)};
|
|
UINT check = quot.value.RawBits().ToUInt64();
|
|
MATCH(rcheck, check)
|
|
("%d 0x%jx / 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
MATCH(actualFlags, FlagsToBits(quot.flags))
|
|
("%d 0x%jx / 0x%jx", pass, static_cast<std::intmax_t>(rj),
|
|
static_cast<std::intmax_t>(rk));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
void roundTest(int rm, Rounding rounding, std::uint32_t opds) {
|
|
basicTests<Real2>(rm, rounding);
|
|
basicTests<Real3>(rm, rounding);
|
|
basicTests<Real4>(rm, rounding);
|
|
basicTests<Real8>(rm, rounding);
|
|
basicTests<Real10>(rm, rounding);
|
|
basicTests<Real16>(rm, rounding);
|
|
ScopedHostFloatingPointEnvironment::SetRounding(rounding);
|
|
subsetTests<std::uint32_t, float, Real4>(rm, rounding, opds);
|
|
subsetTests<std::uint64_t, double, Real8>(rm, rounding, opds);
|
|
}
|
|
|
|
int main() {
|
|
dumpTest();
|
|
std::uint32_t opds{512}; // for quick testing by default
|
|
if (const char *p{std::getenv("REAL_TEST_OPERANDS")}) {
|
|
// Use 8192 or 16384 for more exhaustive testing.
|
|
opds = std::atol(p);
|
|
}
|
|
roundTest(0, Rounding{RoundingMode::TiesToEven}, opds);
|
|
roundTest(1, Rounding{RoundingMode::ToZero}, opds);
|
|
roundTest(2, Rounding{RoundingMode::Up}, opds);
|
|
roundTest(3, Rounding{RoundingMode::Down}, opds);
|
|
// TODO: how to test Rounding::TiesAwayFromZero on x86?
|
|
return testing::Complete();
|
|
}
|