| 1 | #include "flang/Evaluate/type.h" |
| 2 | #include "flang/Testing/fp-testing.h" |
| 3 | #include "flang/Testing/testing.h" |
| 4 | #include "llvm/Support/raw_ostream.h" |
| 5 | #include <cmath> |
| 6 | #include <cstdio> |
| 7 | #include <cstdlib> |
| 8 | #include <type_traits> |
| 9 | |
| 10 | using namespace Fortran::evaluate; |
| 11 | using namespace Fortran::common; |
| 12 | |
| 13 | using Real2 = Scalar<Type<TypeCategory::Real, 2>>; |
| 14 | using Real3 = Scalar<Type<TypeCategory::Real, 3>>; |
| 15 | using Real4 = Scalar<Type<TypeCategory::Real, 4>>; |
| 16 | using Real8 = Scalar<Type<TypeCategory::Real, 8>>; |
| 17 | #ifdef __x86_64__ |
| 18 | using Real10 = Scalar<Type<TypeCategory::Real, 10>>; |
| 19 | #endif |
| 20 | using Real16 = Scalar<Type<TypeCategory::Real, 16>>; |
| 21 | using Integer4 = Scalar<Type<TypeCategory::Integer, 4>>; |
| 22 | using Integer8 = Scalar<Type<TypeCategory::Integer, 8>>; |
| 23 | |
| 24 | void dumpTest() { |
| 25 | struct { |
| 26 | std::uint64_t raw; |
| 27 | const char *expected; |
| 28 | } table[] = { |
| 29 | {.raw: 0x7f876543, .expected: "NaN0x7f876543" }, |
| 30 | {.raw: 0x7f800000, .expected: "Inf" }, |
| 31 | {.raw: 0xff800000, .expected: "-Inf" }, |
| 32 | {.raw: 0x00000000, .expected: "0.0" }, |
| 33 | {.raw: 0x80000000, .expected: "-0.0" }, |
| 34 | {.raw: 0x3f800000, .expected: "0x1.0p0" }, |
| 35 | {.raw: 0xbf800000, .expected: "-0x1.0p0" }, |
| 36 | {.raw: 0x40000000, .expected: "0x1.0p1" }, |
| 37 | {.raw: 0x3f000000, .expected: "0x1.0p-1" }, |
| 38 | {.raw: 0x7f7fffff, .expected: "0x1.fffffep127" }, |
| 39 | {.raw: 0x00800000, .expected: "0x1.0p-126" }, |
| 40 | {.raw: 0x00400000, .expected: "0x0.8p-126" }, |
| 41 | {.raw: 0x00000001, .expected: "0x0.000002p-126" }, |
| 42 | {.raw: 0, .expected: nullptr}, |
| 43 | }; |
| 44 | for (int j{0}; table[j].expected != nullptr; ++j) { |
| 45 | TEST(Real4{Integer4{table[j].raw}}.DumpHexadecimal() == table[j].expected) |
| 46 | ("%d" , j); |
| 47 | } |
| 48 | } |
| 49 | |
| 50 | template <typename R> void basicTests(int rm, Rounding rounding) { |
| 51 | static constexpr int kind{R::bits / 8}; |
| 52 | char desc[64]; |
| 53 | using Word = typename R::Word; |
| 54 | std::snprintf(s: desc, maxlen: sizeof desc, format: "bits=%d, le=%d, kind=%d" , R::bits, |
| 55 | Word::littleEndian, kind); |
| 56 | R zero; |
| 57 | TEST(!zero.IsNegative())(desc); |
| 58 | TEST(!zero.IsNotANumber())(desc); |
| 59 | TEST(!zero.IsInfinite())(desc); |
| 60 | TEST(zero.IsZero())(desc); |
| 61 | MATCH(0, zero.Exponent())(desc); |
| 62 | TEST(zero.RawBits().IsZero())(desc); |
| 63 | MATCH(0, zero.RawBits().ToUInt64())(desc); |
| 64 | TEST(zero.ABS().RawBits().IsZero())(desc); |
| 65 | TEST(zero.Negate().RawBits().IEOR(Word::MASKL(1)).IsZero())(desc); |
| 66 | TEST(zero.Compare(zero) == Relation::Equal)(desc); |
| 67 | R minusZero{Word{std::uint64_t{1}}.SHIFTL(R::bits - 1)}; |
| 68 | TEST(minusZero.IsNegative())(desc); |
| 69 | TEST(!minusZero.IsNotANumber())(desc); |
| 70 | TEST(!minusZero.IsInfinite())(desc); |
| 71 | TEST(minusZero.IsZero())(desc); |
| 72 | TEST(minusZero.ABS().RawBits().IsZero())(desc); |
| 73 | TEST(minusZero.Negate().RawBits().IsZero())(desc); |
| 74 | MATCH(0, minusZero.Exponent())(desc); |
| 75 | MATCH(0, minusZero.RawBits().LEADZ())(desc); |
| 76 | MATCH(1, minusZero.RawBits().POPCNT())(desc); |
| 77 | TEST(minusZero.Compare(minusZero) == Relation::Equal)(desc); |
| 78 | TEST(zero.Compare(minusZero) == Relation::Equal)(desc); |
| 79 | ValueWithRealFlags<R> vr; |
| 80 | MATCH(0, vr.value.RawBits().ToUInt64())(desc); |
| 81 | TEST(vr.flags.empty())(desc); |
| 82 | R nan{Word{std::uint64_t{1}} |
| 83 | .SHIFTL(R::bits) |
| 84 | .SubtractSigned(Word{std::uint64_t{1}}) |
| 85 | .value}; |
| 86 | MATCH(R::bits, nan.RawBits().POPCNT())(desc); |
| 87 | TEST(!nan.IsNegative())(desc); |
| 88 | TEST(nan.IsNotANumber())(desc); |
| 89 | TEST(!nan.IsInfinite())(desc); |
| 90 | TEST(!nan.IsZero())(desc); |
| 91 | TEST(zero.Compare(nan) == Relation::Unordered)(desc); |
| 92 | TEST(minusZero.Compare(nan) == Relation::Unordered)(desc); |
| 93 | TEST(nan.Compare(zero) == Relation::Unordered)(desc); |
| 94 | TEST(nan.Compare(minusZero) == Relation::Unordered)(desc); |
| 95 | TEST(nan.Compare(nan) == Relation::Unordered)(desc); |
| 96 | int significandBits{R::binaryPrecision - R::isImplicitMSB}; |
| 97 | int exponentBits{R::bits - significandBits - 1}; |
| 98 | std::uint64_t maxExponent{(std::uint64_t{1} << exponentBits) - 1}; |
| 99 | MATCH(nan.Exponent(), maxExponent)(desc); |
| 100 | Word infWord{Word{maxExponent}.SHIFTL(significandBits)}; |
| 101 | Word negInfWord{ |
| 102 | Word{maxExponent}.SHIFTL(significandBits).IOR(Word::MASKL(1))}; |
| 103 | if constexpr (kind == 10) { // x87 |
| 104 | infWord = infWord.IBSET(63); |
| 105 | negInfWord = negInfWord.IBSET(63); |
| 106 | } |
| 107 | R inf{infWord}; |
| 108 | R negInf{negInfWord}; |
| 109 | TEST(!inf.IsNegative())(desc); |
| 110 | TEST(!inf.IsNotANumber())(desc); |
| 111 | TEST(inf.IsInfinite())(desc); |
| 112 | TEST(!inf.IsZero())(desc); |
| 113 | TEST(inf.RawBits().CompareUnsigned(inf.ABS().RawBits()) == Ordering::Equal) |
| 114 | (desc); |
| 115 | TEST(zero.Compare(inf) == Relation::Less)(desc); |
| 116 | TEST(minusZero.Compare(inf) == Relation::Less)(desc); |
| 117 | TEST(nan.Compare(inf) == Relation::Unordered)(desc); |
| 118 | TEST(inf.Compare(inf) == Relation::Equal)(desc); |
| 119 | TEST(negInf.IsNegative())(desc); |
| 120 | TEST(!negInf.IsNotANumber())(desc); |
| 121 | TEST(negInf.IsInfinite())(desc); |
| 122 | TEST(!negInf.IsZero())(desc); |
| 123 | TEST(inf.RawBits().CompareUnsigned(negInf.ABS().RawBits()) == Ordering::Equal) |
| 124 | (desc); |
| 125 | TEST(inf.RawBits().CompareUnsigned(negInf.Negate().RawBits()) == |
| 126 | Ordering::Equal) |
| 127 | (desc); |
| 128 | TEST(inf.Negate().RawBits().CompareUnsigned(negInf.RawBits()) == |
| 129 | Ordering::Equal) |
| 130 | (desc); |
| 131 | TEST(zero.Compare(negInf) == Relation::Greater)(desc); |
| 132 | TEST(minusZero.Compare(negInf) == Relation::Greater)(desc); |
| 133 | TEST(nan.Compare(negInf) == Relation::Unordered)(desc); |
| 134 | TEST(inf.Compare(negInf) == Relation::Greater)(desc); |
| 135 | TEST(negInf.Compare(negInf) == Relation::Equal)(desc); |
| 136 | for (std::uint64_t j{0}; j < 63; ++j) { |
| 137 | char ldesc[128]; |
| 138 | std::uint64_t x{1}; |
| 139 | x <<= j; |
| 140 | std::snprintf(s: ldesc, maxlen: sizeof ldesc, format: "%s j=%d x=0x%jx rm=%d" , desc, |
| 141 | static_cast<int>(j), static_cast<std::intmax_t>(x), rm); |
| 142 | Integer8 ix{x}; |
| 143 | TEST(!ix.IsNegative())(ldesc); |
| 144 | MATCH(x, ix.ToUInt64())(ldesc); |
| 145 | vr = R::FromInteger(ix, false, rounding); |
| 146 | TEST(!vr.value.IsNegative())(ldesc); |
| 147 | TEST(!vr.value.IsNotANumber())(ldesc); |
| 148 | TEST(!vr.value.IsZero())(ldesc); |
| 149 | auto ivf = vr.value.template ToInteger<Integer8>(); |
| 150 | if (j > (maxExponent / 2)) { |
| 151 | TEST(vr.flags.test(RealFlag::Overflow))(ldesc); |
| 152 | TEST(vr.value.IsInfinite())(ldesc); |
| 153 | TEST(ivf.flags.test(RealFlag::Overflow))(ldesc); |
| 154 | MATCH(0x7fffffffffffffff, ivf.value.ToUInt64())(ldesc); |
| 155 | } else { |
| 156 | TEST(vr.flags.empty())(ldesc); |
| 157 | TEST(!vr.value.IsInfinite())(ldesc); |
| 158 | TEST(ivf.flags.empty())(ldesc); |
| 159 | MATCH(x, ivf.value.ToUInt64())(ldesc); |
| 160 | if (rounding.mode == RoundingMode::TiesToEven) { // to match stold() |
| 161 | std::string decimal; |
| 162 | llvm::raw_string_ostream ss{decimal}; |
| 163 | vr.value.AsFortran(ss, kind, false /*exact*/); |
| 164 | const char *p{decimal.data()}; |
| 165 | MATCH(x, static_cast<std::uint64_t>(std::stold(str: decimal))) |
| 166 | ("%s %s" , ldesc, p); |
| 167 | auto check{R::Read(p, rounding)}; |
| 168 | auto icheck{check.value.template ToInteger<Integer8>()}; |
| 169 | MATCH(x, icheck.value.ToUInt64())(ldesc); |
| 170 | TEST(vr.value.Compare(check.value) == Relation::Equal)(ldesc); |
| 171 | } |
| 172 | } |
| 173 | TEST(vr.value.ToWholeNumber().value.Compare(vr.value) == Relation::Equal) |
| 174 | (ldesc); |
| 175 | ix = ix.Negate().value; |
| 176 | TEST(ix.IsNegative())(ldesc); |
| 177 | x = -x; |
| 178 | std::int64_t nx = x; |
| 179 | MATCH(x, ix.ToUInt64())(ldesc); |
| 180 | MATCH(nx, ix.ToInt64())(ldesc); |
| 181 | vr = R::FromInteger(ix); |
| 182 | TEST(vr.value.IsNegative())(ldesc); |
| 183 | TEST(!vr.value.IsNotANumber())(ldesc); |
| 184 | TEST(!vr.value.IsZero())(ldesc); |
| 185 | ivf = vr.value.template ToInteger<Integer8>(); |
| 186 | if (j > (maxExponent / 2)) { |
| 187 | TEST(vr.flags.test(RealFlag::Overflow))(ldesc); |
| 188 | TEST(vr.value.IsInfinite())(ldesc); |
| 189 | TEST(ivf.flags.test(RealFlag::Overflow))(ldesc); |
| 190 | MATCH(0x8000000000000000, ivf.value.ToUInt64())(ldesc); |
| 191 | } else { |
| 192 | TEST(vr.flags.empty())(ldesc); |
| 193 | TEST(!vr.value.IsInfinite())(ldesc); |
| 194 | TEST(ivf.flags.empty())(ldesc); |
| 195 | MATCH(x, ivf.value.ToUInt64())(ldesc); |
| 196 | MATCH(nx, ivf.value.ToInt64())(ldesc); |
| 197 | } |
| 198 | TEST(vr.value.ToWholeNumber().value.Compare(vr.value) == Relation::Equal) |
| 199 | (ldesc); |
| 200 | } |
| 201 | } |
| 202 | |
| 203 | // Takes an integer and distributes its bits across a floating |
| 204 | // point value. The LSB is used to complement the result. |
| 205 | std::uint32_t MakeReal(std::uint32_t n) { |
| 206 | int shifts[] = {-1, 31, 23, 30, 22, 0, 24, 29, 25, 28, 26, 1, 16, 21, 2, -1}; |
| 207 | std::uint32_t x{0}; |
| 208 | for (int j{1}; shifts[j] >= 0; ++j) { |
| 209 | x |= ((n >> j) & 1) << shifts[j]; |
| 210 | } |
| 211 | x ^= -(n & 1); |
| 212 | return x; |
| 213 | } |
| 214 | |
| 215 | std::uint64_t MakeReal(std::uint64_t n) { |
| 216 | int shifts[] = { |
| 217 | -1, 63, 52, 62, 51, 0, 53, 61, 54, 60, 55, 59, 1, 16, 50, 2, -1}; |
| 218 | std::uint64_t x{0}; |
| 219 | for (int j{1}; shifts[j] >= 0; ++j) { |
| 220 | x |= ((n >> j) & 1) << shifts[j]; |
| 221 | } |
| 222 | x ^= -(n & 1); |
| 223 | return x; |
| 224 | } |
| 225 | |
| 226 | inline bool IsNaN(std::uint32_t x) { |
| 227 | return (x & 0x7f800000) == 0x7f800000 && (x & 0x007fffff) != 0; |
| 228 | } |
| 229 | |
| 230 | inline bool IsNaN(std::uint64_t x) { |
| 231 | return (x & 0x7ff0000000000000) == 0x7ff0000000000000 && |
| 232 | (x & 0x000fffffffffffff) != 0; |
| 233 | } |
| 234 | |
| 235 | inline bool IsInfinite(std::uint32_t x) { |
| 236 | return (x & 0x7fffffff) == 0x7f800000; |
| 237 | } |
| 238 | |
| 239 | inline bool IsInfinite(std::uint64_t x) { |
| 240 | return (x & 0x7fffffffffffffff) == 0x7ff0000000000000; |
| 241 | } |
| 242 | |
| 243 | inline bool IsNegative(std::uint32_t x) { return (x & 0x80000000) != 0; } |
| 244 | |
| 245 | inline bool IsNegative(std::uint64_t x) { |
| 246 | return (x & 0x8000000000000000) != 0; |
| 247 | } |
| 248 | |
| 249 | inline std::uint32_t NormalizeNaN(std::uint32_t x) { |
| 250 | if (IsNaN(x)) { |
| 251 | x = 0x7fe00000; |
| 252 | } |
| 253 | return x; |
| 254 | } |
| 255 | |
| 256 | inline std::uint64_t NormalizeNaN(std::uint64_t x) { |
| 257 | if (IsNaN(x)) { |
| 258 | x = 0x7ffc000000000000; |
| 259 | } |
| 260 | return x; |
| 261 | } |
| 262 | |
| 263 | enum FlagBits { |
| 264 | Overflow = 1, |
| 265 | DivideByZero = 2, |
| 266 | InvalidArgument = 4, |
| 267 | Underflow = 8, |
| 268 | Inexact = 16, |
| 269 | }; |
| 270 | |
| 271 | #ifdef __clang__ |
| 272 | // clang support for fenv.h is broken, so tests of flag settings |
| 273 | // are disabled. |
| 274 | inline std::uint32_t FlagsToBits(const RealFlags &) { return 0; } |
| 275 | #else |
| 276 | inline std::uint32_t FlagsToBits(const RealFlags &flags) { |
| 277 | std::uint32_t bits{0}; |
| 278 | if (flags.test(RealFlag::Overflow)) { |
| 279 | bits |= Overflow; |
| 280 | } |
| 281 | if (flags.test(RealFlag::DivideByZero)) { |
| 282 | bits |= DivideByZero; |
| 283 | } |
| 284 | if (flags.test(RealFlag::InvalidArgument)) { |
| 285 | bits |= InvalidArgument; |
| 286 | } |
| 287 | if (flags.test(RealFlag::Underflow)) { |
| 288 | bits |= Underflow; |
| 289 | } |
| 290 | if (flags.test(RealFlag::Inexact)) { |
| 291 | bits |= Inexact; |
| 292 | } |
| 293 | return bits; |
| 294 | } |
| 295 | #endif // __clang__ |
| 296 | |
| 297 | template <typename UINT = std::uint32_t, typename FLT = float, typename REAL> |
| 298 | void inttest(std::int64_t x, int pass, Rounding rounding) { |
| 299 | union { |
| 300 | UINT ui; |
| 301 | FLT f; |
| 302 | } u; |
| 303 | ScopedHostFloatingPointEnvironment fpenv; |
| 304 | Integer8 ix{x}; |
| 305 | ValueWithRealFlags<REAL> real; |
| 306 | real = real.value.FromInteger(ix, false, rounding); |
| 307 | #ifndef __clang__ // broken and also slow |
| 308 | fpenv.ClearFlags(); |
| 309 | #endif |
| 310 | FLT fcheck = x; // TODO unsigned too |
| 311 | auto actualFlags{FlagsToBits(fpenv.CurrentFlags())}; |
| 312 | u.f = fcheck; |
| 313 | UINT rcheck{NormalizeNaN(u.ui)}; |
| 314 | UINT check = real.value.RawBits().ToUInt64(); |
| 315 | MATCH(rcheck, check)("%d 0x%llx" , pass, x); |
| 316 | MATCH(actualFlags, FlagsToBits(real.flags))("%d 0x%llx" , pass, x); |
| 317 | } |
| 318 | |
| 319 | template <typename FLT = float> FLT ToIntPower(FLT x, int power) { |
| 320 | if (power == 0) { |
| 321 | return x / x; |
| 322 | } |
| 323 | bool negative{power < 0}; |
| 324 | if (negative) { |
| 325 | power = -power; |
| 326 | } |
| 327 | FLT result{1}; |
| 328 | while (power > 0) { |
| 329 | if (power & 1) { |
| 330 | result *= x; |
| 331 | } |
| 332 | x *= x; |
| 333 | power >>= 1; |
| 334 | } |
| 335 | if (negative) { |
| 336 | result = 1.0 / result; |
| 337 | } |
| 338 | return result; |
| 339 | } |
| 340 | |
| 341 | template <typename FLT, int decimalDigits> |
| 342 | FLT TimesIntPowerOfTen(FLT x, int power) { |
| 343 | if (power > decimalDigits || power < -decimalDigits) { |
| 344 | auto maxExactPowerOfTen{ |
| 345 | TimesIntPowerOfTen<FLT, decimalDigits>(1, decimalDigits)}; |
| 346 | auto big{ToIntPower<FLT>(maxExactPowerOfTen, power / decimalDigits)}; |
| 347 | auto small{ |
| 348 | TimesIntPowerOfTen<FLT, decimalDigits>(1, power % decimalDigits)}; |
| 349 | return (x * big) * small; |
| 350 | } |
| 351 | return x * ToIntPower<FLT>(10.0, power); |
| 352 | } |
| 353 | |
| 354 | template <typename UINT = std::uint32_t, typename FLT = float, |
| 355 | typename REAL = Real4> |
| 356 | void subsetTests(int pass, Rounding rounding, std::uint32_t opds) { |
| 357 | for (int j{0}; j < 63; ++j) { |
| 358 | std::int64_t x{1}; |
| 359 | x <<= j; |
| 360 | inttest<UINT, FLT, REAL>(x, pass, rounding); |
| 361 | inttest<UINT, FLT, REAL>(-x, pass, rounding); |
| 362 | } |
| 363 | inttest<UINT, FLT, REAL>(0, pass, rounding); |
| 364 | inttest<UINT, FLT, REAL>( |
| 365 | static_cast<std::int64_t>(0x8000000000000000), pass, rounding); |
| 366 | |
| 367 | union { |
| 368 | UINT ui; |
| 369 | FLT f; |
| 370 | } u; |
| 371 | ScopedHostFloatingPointEnvironment fpenv; |
| 372 | |
| 373 | for (UINT j{0}; j < opds; ++j) { |
| 374 | |
| 375 | UINT rj{MakeReal(j)}; |
| 376 | u.ui = rj; |
| 377 | FLT fj{u.f}; |
| 378 | REAL x{typename REAL::Word{std::uint64_t{rj}}}; |
| 379 | |
| 380 | // unary operations |
| 381 | { |
| 382 | ValueWithRealFlags<REAL> aint{x.ToWholeNumber()}; |
| 383 | #ifndef __clang__ // broken and also slow |
| 384 | fpenv.ClearFlags(); |
| 385 | #endif |
| 386 | FLT fcheck{std::trunc(fj)}; |
| 387 | auto actualFlags{FlagsToBits(fpenv.CurrentFlags())}; |
| 388 | actualFlags &= ~Inexact; // x86 std::trunc can set Inexact; AINT ain't |
| 389 | u.f = fcheck; |
| 390 | #ifndef __clang__ |
| 391 | if (IsNaN(u.ui)) { |
| 392 | actualFlags |= InvalidArgument; // x86 std::trunc(NaN) workaround |
| 393 | } |
| 394 | #endif |
| 395 | UINT rcheck{NormalizeNaN(u.ui)}; |
| 396 | UINT check = aint.value.RawBits().ToUInt64(); |
| 397 | MATCH(rcheck, check) |
| 398 | ("%d AINT(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 399 | MATCH(actualFlags, FlagsToBits(aint.flags)) |
| 400 | ("%d AINT(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 401 | } |
| 402 | |
| 403 | { |
| 404 | ValueWithRealFlags<REAL> root{x.SQRT(rounding)}; |
| 405 | #ifndef __clang__ // broken and also slow |
| 406 | fpenv.ClearFlags(); |
| 407 | #endif |
| 408 | FLT fcheck{std::sqrt(fj)}; |
| 409 | auto actualFlags{FlagsToBits(fpenv.CurrentFlags())}; |
| 410 | u.f = fcheck; |
| 411 | UINT rcheck{NormalizeNaN(u.ui)}; |
| 412 | UINT check = root.value.RawBits().ToUInt64(); |
| 413 | MATCH(rcheck, check) |
| 414 | ("%d SQRT(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 415 | MATCH(actualFlags, FlagsToBits(root.flags)) |
| 416 | ("%d SQRT(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 417 | } |
| 418 | |
| 419 | { |
| 420 | MATCH(IsNaN(rj), x.IsNotANumber()) |
| 421 | ("%d IsNaN(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 422 | MATCH(IsInfinite(rj), x.IsInfinite()) |
| 423 | ("%d IsInfinite(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 424 | |
| 425 | static constexpr int kind{REAL::bits / 8}; |
| 426 | std::string s, cssBuf; |
| 427 | llvm::raw_string_ostream ss{s}; |
| 428 | llvm::raw_string_ostream css{cssBuf}; |
| 429 | x.AsFortran(ss, kind, false /*exact*/); |
| 430 | if (IsNaN(rj)) { |
| 431 | css << "(0._" << kind << "/0.)" ; |
| 432 | MATCH(cssBuf, s) |
| 433 | ("%d invalid(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 434 | } else if (IsInfinite(rj)) { |
| 435 | css << '('; |
| 436 | if (IsNegative(rj)) { |
| 437 | css << '-'; |
| 438 | } |
| 439 | css << "1._" << kind << "/0.)" ; |
| 440 | MATCH(cssBuf, s) |
| 441 | ("%d overflow(0x%jx)" , pass, static_cast<std::intmax_t>(rj)); |
| 442 | } else { |
| 443 | const char *p = s.data(); |
| 444 | if (*p == '(') { |
| 445 | ++p; |
| 446 | } |
| 447 | auto readBack{REAL::Read(p, rounding)}; |
| 448 | MATCH(rj, readBack.value.RawBits().ToUInt64()) |
| 449 | ("%d Read(AsFortran()) 0x%jx %s %g" , pass, |
| 450 | static_cast<std::intmax_t>(rj), s.data(), static_cast<double>(fj)); |
| 451 | MATCH('_', *p) |
| 452 | ("%d Read(AsFortran()) 0x%jx %s %d" , pass, |
| 453 | static_cast<std::intmax_t>(rj), s.data(), |
| 454 | static_cast<int>(p - s.data())); |
| 455 | } |
| 456 | } |
| 457 | |
| 458 | // dyadic operations |
| 459 | for (UINT k{0}; k < opds; ++k) { |
| 460 | UINT rk{MakeReal(k)}; |
| 461 | u.ui = rk; |
| 462 | FLT fk{u.f}; |
| 463 | REAL y{typename REAL::Word{std::uint64_t{rk}}}; |
| 464 | { |
| 465 | ValueWithRealFlags<REAL> sum{x.Add(y, rounding)}; |
| 466 | #ifndef __clang__ // broken and also slow |
| 467 | fpenv.ClearFlags(); |
| 468 | #endif |
| 469 | FLT fcheck{fj + fk}; |
| 470 | auto actualFlags{FlagsToBits(fpenv.CurrentFlags())}; |
| 471 | u.f = fcheck; |
| 472 | UINT rcheck{NormalizeNaN(u.ui)}; |
| 473 | UINT check = sum.value.RawBits().ToUInt64(); |
| 474 | MATCH(rcheck, check) |
| 475 | ("%d 0x%jx + 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 476 | static_cast<std::intmax_t>(rk)); |
| 477 | MATCH(actualFlags, FlagsToBits(sum.flags)) |
| 478 | ("%d 0x%jx + 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 479 | static_cast<std::intmax_t>(rk)); |
| 480 | } |
| 481 | { |
| 482 | ValueWithRealFlags<REAL> diff{x.Subtract(y, rounding)}; |
| 483 | #ifndef __clang__ // broken and also slow |
| 484 | fpenv.ClearFlags(); |
| 485 | #endif |
| 486 | FLT fcheck{fj - fk}; |
| 487 | auto actualFlags{FlagsToBits(fpenv.CurrentFlags())}; |
| 488 | u.f = fcheck; |
| 489 | UINT rcheck{NormalizeNaN(u.ui)}; |
| 490 | UINT check = diff.value.RawBits().ToUInt64(); |
| 491 | MATCH(rcheck, check) |
| 492 | ("%d 0x%jx - 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 493 | static_cast<std::intmax_t>(rk)); |
| 494 | MATCH(actualFlags, FlagsToBits(diff.flags)) |
| 495 | ("%d 0x%jx - 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 496 | static_cast<std::intmax_t>(rk)); |
| 497 | } |
| 498 | { |
| 499 | ValueWithRealFlags<REAL> prod{x.Multiply(y, rounding)}; |
| 500 | #ifndef __clang__ // broken and also slow |
| 501 | fpenv.ClearFlags(); |
| 502 | #endif |
| 503 | FLT fcheck{fj * fk}; |
| 504 | auto actualFlags{FlagsToBits(fpenv.CurrentFlags())}; |
| 505 | u.f = fcheck; |
| 506 | UINT rcheck{NormalizeNaN(u.ui)}; |
| 507 | UINT check = prod.value.RawBits().ToUInt64(); |
| 508 | MATCH(rcheck, check) |
| 509 | ("%d 0x%jx * 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 510 | static_cast<std::intmax_t>(rk)); |
| 511 | MATCH(actualFlags, FlagsToBits(prod.flags)) |
| 512 | ("%d 0x%jx * 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 513 | static_cast<std::intmax_t>(rk)); |
| 514 | } |
| 515 | { |
| 516 | ValueWithRealFlags<REAL> quot{x.Divide(y, rounding)}; |
| 517 | #ifndef __clang__ // broken and also slow |
| 518 | fpenv.ClearFlags(); |
| 519 | #endif |
| 520 | FLT fcheck{fj / fk}; |
| 521 | auto actualFlags{FlagsToBits(fpenv.CurrentFlags())}; |
| 522 | u.f = fcheck; |
| 523 | UINT rcheck{NormalizeNaN(u.ui)}; |
| 524 | UINT check = quot.value.RawBits().ToUInt64(); |
| 525 | MATCH(rcheck, check) |
| 526 | ("%d 0x%jx / 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 527 | static_cast<std::intmax_t>(rk)); |
| 528 | MATCH(actualFlags, FlagsToBits(quot.flags)) |
| 529 | ("%d 0x%jx / 0x%jx" , pass, static_cast<std::intmax_t>(rj), |
| 530 | static_cast<std::intmax_t>(rk)); |
| 531 | } |
| 532 | } |
| 533 | } |
| 534 | } |
| 535 | |
| 536 | void roundTest(int rm, Rounding rounding, std::uint32_t opds) { |
| 537 | basicTests<Real2>(rm, rounding); |
| 538 | basicTests<Real3>(rm, rounding); |
| 539 | basicTests<Real4>(rm, rounding); |
| 540 | basicTests<Real8>(rm, rounding); |
| 541 | #ifdef __x86_64__ |
| 542 | basicTests<Real10>(rm, rounding); |
| 543 | #endif |
| 544 | basicTests<Real16>(rm, rounding); |
| 545 | ScopedHostFloatingPointEnvironment::SetRounding(rounding); |
| 546 | subsetTests<std::uint32_t, float, Real4>(rm, rounding, opds); |
| 547 | subsetTests<std::uint64_t, double, Real8>(rm, rounding, opds); |
| 548 | } |
| 549 | |
| 550 | int main() { |
| 551 | dumpTest(); |
| 552 | std::uint32_t opds{512}; // for quick testing by default |
| 553 | if (const char *p{std::getenv(name: "REAL_TEST_OPERANDS" )}) { |
| 554 | // Use 8192 or 16384 for more exhaustive testing. |
| 555 | opds = std::atol(nptr: p); |
| 556 | } |
| 557 | roundTest(0, Rounding{RoundingMode::TiesToEven}, opds); |
| 558 | roundTest(1, Rounding{RoundingMode::ToZero}, opds); |
| 559 | roundTest(2, Rounding{RoundingMode::Up}, opds); |
| 560 | roundTest(3, Rounding{RoundingMode::Down}, opds); |
| 561 | // TODO: how to test Rounding::TiesAwayFromZero on x86? |
| 562 | return testing::Complete(); |
| 563 | } |
| 564 | |