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 | |