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swift-mirror/test/stdlib/PrintFloat.swift.gyb
Stephen Canon abea46ea59 Make Float16 available for macOS on Apple Silicon (#34821) 
Due to an unstable (and undesirable) calling convention in the LLVM layer for x86, I had previously marked Float16 unconditionally unavailable on macOS. My hope was that Intel would stabilize the calling convention and we could make it available on both macOS platforms at the same time. Unfortunately, that hasn't happened, and we want to make the type available for macOS/arm users.

So, I am making the availability mirror Float80--the type will be unavailable for macOS on x86_64, and available on all other platforms (the other x86 platforms don't have a binary-stability guarantee to worry about). This isn't ideal. In particular, if/when the calling conventions for Float16 stabilize in LLVM, we would want to make the type available, but it would then have _different_ availability for different architectures of macOS, which the current availability system is not well-equipped to handle (it's possible, but not very ergonomic). Nonetheless, this seems like the best option.

The good news is that because the full API is already built in Swift (and simply marked unavailable), we can simply add macOS 11.0 availability for these API and it will work.
2020-11-19 09:36:03 -05:00

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// RUN: %empty-directory(%t)
// RUN: %gyb %s -o %t/FloatingPointPrinting.swift
// RUN: %line-directive %t/FloatingPointPrinting.swift -- %target-build-swift %t/FloatingPointPrinting.swift -o %t/main.out
// RUN: %target-codesign %t/main.out
// RUN: %line-directive %t/FloatingPointPrinting.swift -- %target-run %t/main.out
// RUN: %line-directive %t/FloatingPointPrinting.swift -- %target-run %t/main.out --locale ru_RU.UTF-8
// REQUIRES: executable_test
// With a non-optimized stdlib the test takes very long.
// REQUIRES: optimized_stdlib
import StdlibUnittest
#if canImport(Darwin)
import Darwin
#elseif canImport(Glibc)
import Glibc
#elseif os(Windows)
import CRT
#else
#error("Unsupported platform")
#endif
// It takes about an hour to run the Float formatter over all 2 billion
// positive values to verify that it's correct. Of course, we don't want
// to do that for the Swift standard library.
//
// Instead, I ran the same test against a version of the Float formatter that
// used only 45 bits precision (instead of 59) and collected all the values that
// failed with that reduced precision. This should catch any future mistakes
// that inadvertently damage the accuracy of the formatter's internal
// calculations.
fileprivate let generatedCases_Float: [(Float, String)] = [
(0x1.ab510cp-126, "1.9621416e-38"),
(0x1.b2171p-126 , "1.993244e-38"),
(0x1.b2171p-125 , "3.986488e-38"),
(0x1.b2171p-124 , "7.972976e-38"),
(0x1.1c01b4p-122, "2.0865513e-37"),
(0x1.e41e3p-122 , "3.5567368e-37"),
(0x1.070866p-120, "7.7298394e-37"),
(0x1.0a4cap-120 , "7.825834e-37"),
(0x1.2e92dep-118, "3.5567368e-36"),
(0x1.225e0ap-117, "6.826503e-36"),
(0x1.288e84p-117, "6.9720146e-36"),
(0x1.732b26p-117, "8.726131e-36"),
(0x1.ab8e9cp-117, "1.0051818e-35"),
(0x1.ea228ap-117, "1.15230165e-35"),
(0x1.fc5bb8p-117, "1.1951446e-35"),
(0x1.9cfcbcp-113, "1.5534853e-34"),
(0x1.e11c02p-112, "3.619465e-34"),
(0x1.56f96cp-110, "1.0321008e-33"),
(0x1.9d393ep-110, "1.2434995e-33"),
(0x1.e11c02p-109, "2.895572e-33"),
(0x1.0186b2p-107, "6.199717e-33"),
(0x1.e11c02p-107, "1.1582288e-32"),
(0x1.87454cp-106, "1.8838998e-32"),
(0x1.a337f6p-105, "4.0369282e-32"),
(0x1.71515ap-105, "3.556401e-32"),
(0x1.5d594ep-101, "5.382571e-31"),
(0x1.0d7e9ep-100, "8.304443e-31"),
(0x1.5d594ep-100, "1.0765142e-30"),
(0x1.fd0eacp-99 , "3.137308e-30"),
(0x1.356bf6p-98 , "3.813917e-30"),
(0x1.356bf6p-97 , "7.627834e-30"),
(0x1.6256f8p-97 , "8.7351485e-30"),
(0x1.6c524ep-97 , "8.9812184e-30"),
(0x1.993d5p-97 , "1.0088533e-29"),
(0x1.c62854p-97 , "1.11958476e-29"),
(0x1.fd0eacp-97 , "1.2549232e-29"),
(0x1.e41a56p-96 , "2.3868115e-29"),
(0x1.266f8p-94 , "5.806717e-29"),
(0x1.765118p-94 , "7.382097e-29"),
(0x1.cb25fep-94 , "9.055106e-29"),
(0x1.778decp-93 , "1.4813009e-28"),
(0x1.23f5d8p-92 , "2.303161e-28"),
(0x1.23f5d8p-90 , "9.212644e-28"),
(0x1.a1f86p-90 , "1.3188814e-27"),
(0x1.3db25cp-87 , "8.019793e-27"),
(0x1.bbb4e2p-87 , "1.1200729e-26"),
(0x1.83be04p-84 , "7.8303923e-26"),
(0x1.5c87fap-84 , "7.038531e-26"),
(0x1.b35478p-84 , "8.7914184e-26"),
(0x1.54279p-83 , "1.3738732e-25"),
(0x1.210beap-82 , "2.3348993e-25"),
(0x1.98040cp-82 , "3.2959255e-25"),
(0x1.d3801cp-81 , "7.552877e-25"),
(0x1.296c54p-80 , "9.610261e-25"),
(0x1.7ee2ccp-80 , "1.2371711e-24"),
(0x1.d3801cp-80 , "1.5105754e-24"),
(0x1.e8c296p-78 , "6.3170763e-24"),
(0x1.09a3c4p-77 , "6.8666256e-24"),
(0x1.7e7638p-77 , "9.886406e-24"),
(0x1.d3ecbp-77 , "1.2095566e-23"),
(0x1.5eada8p-76 , "1.8129645e-23"),
(0x1.21517ap-74 , "5.9829616e-23"),
(0x1.ab6668p-74 , "8.8384254e-23"),
(0x1.91172cp-74 , "8.2943575e-23"),
(0x1.be075ap-74 , "9.223658e-23"),
(0x1.aeaacap-70 , "1.424958e-21"),
(0x1.35db3cp-69 , "2.0504575e-21"),
(0x1.74df2p-67 , "9.869829e-21"),
(0x1.f5fa7ap-66 , "2.6574517e-20"),
(0x1.aa969ep-64 , "9.0333597e-20"),
(0x1.c77c72p-64 , "9.6452936e-20"),
(0x1.7f3dep-64 , "8.1154587e-20"),
(0x1.036eeap-57 , "7.0319526e-18"),
(0x1.46b2fap-57 , "8.855198e-18"),
(0x1.796e1ep-57 , "1.0230265e-17"),
(0x1.ce5b7ap-57 , "1.25322205e-17"),
(0x1.dee466p-57 , "1.2980399e-17"),
(0x1.5b3fep-55 , "3.7648867e-17"),
(0x1.3d11a2p-54 , "6.875335e-17"),
(0x1.796e1ep-54 , "8.184212e-17"),
(0x1.bbe57cp-54 , "9.625469e-17"),
(0x1.d624acp-54 , "1.01946067e-16"),
(0x1.f841f8p-54 , "1.0934346e-16"),
(0x1.3d11a2p-53 , "1.375067e-16"),
(0x1.b20fd8p-52 , "3.7648867e-16"),
(0x1.928636p-47 , "1.1172293e-14"),
(0x1.ba8a18p-47 , "1.2282937e-14"),
(0x1.e28dfap-47 , "1.3393581e-14"),
(0x1.374dcap-44 , "6.912334e-14"),
(0x1.a0efd4p-44 , "9.257857e-14"),
(0x1.7c8658p-44 , "8.4493474e-14"),
(0x1.e62862p-44 , "1.07948705e-13"),
(0x1.89537ap-40 , "1.397375e-12"),
(0x1.981532p-39 , "2.8996026e-12"),
(0x1.3e8744p-38 , "4.5265606e-12"),
(0x1.431bf6p-37 , "9.183316e-12"),
(0x1.525f7ep-37 , "9.6171395e-12"),
(0x1.7a0ff2p-37 , "1.07451764e-11"),
(0x1.cf8bp-37 , "1.3174684e-11"),
(0x1.f637d2p-37 , "1.4273895e-11"),
(0x1.4cc72ap-34 , "7.566495e-11"),
(0x1.86e8aep-34 , "8.8882395e-11"),
(0x1.9093e2p-34 , "9.1080816e-11"),
(0x1.eef76ap-34 , "1.12542343e-10"),
(0x1.f637d2p-34 , "1.1419116e-10"),
(0x1.2cc742p+59 , "6.772926e+17"),
(0x1.426638p+59 , "7.259787e+17"),
(0x1.ac1062p+60 , "1.9278289e+18"),
(0x1.3fb25ap+61 , "2.8795718e+18"),
(0x1.28aacp+68 , "3.4203376e+20"),
(0x1.21de92p+69 , "6.683934e+20"),
(0x1.077b62p+69 , "6.0754804e+20"),
(0x1.6dd68ep+69 , "8.435652e+20"),
(0x1.5b7194p+69 , "8.0115055e+20"),
(0x1.72d57p+71 , "3.4203376e+21"),
(0x1.3f1b66p+74 , "2.3545942e+22"),
(0x1.cf8accp+74 , "3.4203376e+22"),
(0x1.15204ep+76 , "8.179321e+22"),
(0x1.69167ep+76 , "1.0657433e+23"),
(0x1.a3dfccp+77 , "2.4784999e+23"),
(0x1.25ee82p+79 , "6.940265e+23"),
(0x1.6d4a0cp+79 , "8.6251485e+23"),
(0x1.9b811cp+79 , "9.716371e+23"),
(0x1.45ee1ep+84 , "2.4626585e+25"),
(0x1.84615ep+84 , "2.934519e+25"),
(0x1.1b492p+87 , "1.7123566e+26"),
(0x1.61594ap+87 , "2.1358624e+26"),
(0x1.1c0b3ep+89 , "6.8677604e+26"),
(0x1.3e5134p+89 , "7.696438e+26"),
(0x1.cd7a02p+89 , "1.1157819e+27"),
(0x1.621b68p+90 , "1.7123566e+27"),
(0x1.baa242p+93 , "1.7123566e+28"),
(0x1.d40dfp+94 , "3.6213959e+28"),
(0x1.10287cp+96 , "8.422887e+28"),
(0x1.8da532p+99 , "9.845221e+29"),
(0x1.f58b6cp+100, "2.4835287e+30"),
(0x1.e11158p+102, "9.5285285e+30"),
(0x1.b61814p+103, "1.7354693e+31"),
(0x1.0502cp+104 , "2.0679402e+31"),
(0x1.772604p+106, "1.188893e+32"),
(0x1.fe44a2p+106, "1.6171041e+32"),
(0x1.9c7f7ap+108, "5.229033e+32"),
(0x1.2c7314p+109, "7.6173e+32"),
(0x1.19c658p+109, "7.143839e+32"),
(0x1.89d2cp+109 , "9.984605e+32"),
(0x1.af2c36p+109, "1.0931527e+33"),
(0x1.c1d8f2p+109, "1.1404988e+33"),
(0x1.89d2cp+110 , "1.996921e+33"),
(0x1.97d44cp+110, "2.0679402e+33"),
(0x1.89d2cp+111 , "3.993842e+33"),
(0x1.2c7314p+112, "6.09384e+33"),
(0x1.368a68p+112, "6.2985127e+33"),
(0x1.89d2cp+112 , "7.987684e+33"),
(0x1.5b22eap+112, "7.040762e+33"),
(0x1.b88294p+112, "8.934606e+33"),
(0x1.e7326ap+112, "9.881528e+33"),
(0x1.672f5ap+114, "2.9140547e+34"),
(0x1.103662p+115, "4.4168992e+34"),
(0x1.4fd77p+116 , "1.0898681e+35"),
(0x1.cf198ap+116, "1.5028446e+35"),
(0x1.347374p+118, "4.0039227e+35"),
(0x1.7ced98p+118, "4.9447295e+35"),
(0x1.aa03cp+119 , "1.1059973e+36"),
(0x1.3b315cp+122, "6.5462986e+36"),
(0x1.3e2542p+122, "6.607624e+36"),
(0x1.c4fb6p+122 , "9.408067e+36"),
(0x1.f062b6p+122, "1.03095254e+37"),
(0x1.2db58cp+123, "1.2532508e+37"),
(0x1.a345d8p+126, "1.393273e+38"),
(0x1.a345d8p+127, "2.786546e+38")
]
// Of course, exhaustive testing of Double (or Float80!) is not
// practical, so I used another approach to generate test cases
// for those:
// The Errol paper details a method for enumerating cases where the optimal
// base-10 form might be extremely close to the midpoint between two binary
// Doubles, and therefore at risk of being handled incorrectly by Grisu-style
// formatters that use fixed-precision arithmetic. These are the extreme cases
// for our algorithm, so if we get these right, we have pretty high confidence
// that we get everything right.
// I took that list and ran it through a reduced-precision version of the Double
// formatter to identify these worst-case values:
fileprivate let generatedCases_Double: [(Double, String)] = [
(0x1.379f099a86228p-317, "4.559093100884257e-96"),
(0x1.7c3fba45c1271p-307, "5.696647848853893e-93"),
(0x1.4f14348a4c5dcp-299, "1.285104507361864e-90"),
(0x1.4f14348a4c5dcp-298, "2.570209014723728e-90"),
(0x1.a8c931c19b77ap-298, "3.258302752792233e-90"),
(0x1.4f14348a4c5dcp-297, "5.140418029447456e-90"),
(0x1.a8c931c19b77ap-297, "6.516605505584466e-90"),
(0x1.97a2a205f591fp-294, "5.002799281833755e-89"),
(0x1.387cf9cb4ad4fp-261, "3.294312317590731e-79"),
(0x1.ddc7e975c5045p-247, "8.252392874408775e-75"),
(0x1.ddc7e975c5045p-246, "1.650478574881755e-74"),
(0x1.ddc7e975c5045p-245, "3.30095714976351e-74"),
(0x1.ddc7e975c5045p-244, "6.60191429952702e-74"),
(0x1.ddc7e975c5045p-243, "1.320382859905404e-73"),
(0x1.ddc7e975c5045p-242, "2.640765719810808e-73"),
(0x1.ddc7e975c5045p-241, "5.281531439621616e-73"),
(0x1.9190e30e46c1ep-235, "2.840978519032327e-71"),
(0x1.0ed9bd6bfd003p-234, "3.832399419240467e-71"),
(0x1.9190e30e46c1ep-234, "5.681957038064654e-71"),
(0x1.3b28b27523ea6p-229, "1.426989259361117e-69"),
(0x1.3b28b27523ea6p-228, "2.853978518722234e-69"),
(0x1.aedaa0fc32ac8p-222, "2.497072464210591e-67"),
(0x1.aedaa0fc32ac8p-221, "4.994144928421182e-67"),
(0x1.48050091c3c25p-219, "1.520865118855779e-66"),
(0x1.48050091c3c25p-218, "3.041730237711558e-66"),
(0x1.f5a18504dfaadp-215, "3.721305106071689e-65"),
(0x1.f5a18504dfaadp-214, "7.442610212143378e-65"),
(0x1.eef5e1f90ac34p-196, "1.925091640472375e-59"),
(0x1.eef5e1f90ac34p-195, "3.85018328094475e-59"),
(0x1.eef5e1f90ac34p-194, "7.7003665618895e-59"),
(0x1.b20c2f4f8d49fp-138, "4.865841847892019e-42"),
(0x1.25d342b1e33e6p-128, "3.372948296445563e-39"),
(0x1.4faba79ea92edp-122, "2.466117547186101e-37"),
(0x1.4faba79ea92edp-121, "4.932235094372202e-37"),
(0x1.78cfcab31064dp-89 , "2.378016066134295e-27"),
(0x1.78cfcab31064dp-88 , "4.75603213226859e-27"),
(0x1.78cfcab31064dp-87 , "9.51206426453718e-27"),
(0x1.78cfcab31064dp-86 , "1.902412852907436e-26"),
(0x1.78cfcab31064dp-85 , "3.804825705814872e-26"),
(0x1.56d589dc3d0e3p-78 , "4.431027338341785e-24"),
(0x1.cd230a7ff47c4p+145, "8.034137530808823e+43"),
(0x1.30d9a1c3890bp+151 , "3.399192475886301e+45"),
(0x1.fc1562f08f125p+151, "5.665320793143835e+45"),
(0x1.a32ac316fb3acp+186, "1.605929046641989e+56"),
(0x1.a32ac316fb3acp+187, "3.211858093283978e+56"),
(0x1.8862481ccada3p+188, "6.013265967485603e+56"),
(0x1.a32ac316fb3acp+188, "6.423716186567956e+56"),
(0x1.5564fb098c956p+201, "4.285935458457607e+60"),
(0x1.f20b1a0d7f626p+207, "4.001624164855121e+62"),
(0x1.f20b1a0d7f626p+208, "8.003248329710242e+62"),
(0x1.a53bb31b369a2p+219, "1.386282306169174e+66"),
(0x1.a53bb31b369a2p+220, "2.772564612338348e+66"),
(0x1.a53bb31b369a2p+221, "5.545129224676696e+66"),
(0x1.66a00a69c6c34p+224, "3.776763733298609e+67"),
(0x1.e2785c3a2a20ap+227, "4.064803033949531e+68"),
(0x1.e2785c3a2a20ap+228, "8.129606067899062e+68"),
(0x1.454b1aef62c8dp+231, "4.384946084578497e+69"),
(0x1.0fde34c996086p+233, "1.465909318208761e+70"),
(0x1.0fde34c996086p+234, "2.931818636417522e+70"),
(0x1.9a2c2a34ac2fap+234, "4.423291694721855e+70"),
(0x1.9a2c2a34ac2fap+235, "8.84658338944371e+70"),
(0x1.9a2c2a34ac2fap+236, "1.769316677888742e+71"),
(0x1.9a2c2a34ac2fap+237, "3.538633355777484e+71"),
(0x1.9a2c2a34ac2fap+238, "7.077266711554968e+71"),
(0x1.ca9bade45b94ap+260, "3.318949537676913e+78"),
(0x1.ca9bade45b94ap+261, "6.637899075353826e+78"),
(0x1.b3a29c72cab91p+269, "1.614179517443508e+81"),
(0x1.b3a29c72cab91p+270, "3.228359034887016e+81"),
(0x1.b3a29c72cab91p+271, "6.456718069774032e+81"),
(0x1.c84c524ab5ebp+277 , "4.328301679886463e+83"),
(0x1.71760b3c0bc14p+287, "3.588703015985849e+86"),
(0x1.11926d079e00ap+304, "3.482974734743573e+91"),
(0x1.9d8f9fc2808d3p+321, "6.901257826767179e+96"),
(0x1.63ed4a60c9c91p+324, "4.751595491707413e+97")
]
#if !os(Windows) && (arch(i386) || arch(x86_64))
// Float80 found via Errol technique.
//
// As with Double, except for Float80. The original list in this
// case had 23 million test cases. I filtered that against
// a Float80 formatter with 129 bits precision.
fileprivate let generatedCases_Float80: [(Float80, String)] = [
(0xf.8f06b25f79a0ad9p-329, "1.4226714622425547106e-98"),
(0xb.a14796a877c6939p-303, "7.136593768505787697e-91"),
(0xf.8e473d72ad52a71p-296, "1.2218360180048428346e-88"),
(0xb.c6f5bb0c6811badp-289, "1.1840575897174935119e-86"),
(0xc.c2111d383f1adfp-236 , "1.1553302055733876345e-70"),
(0xc.c2111d383f1adfp-233 , "9.242641644587101076e-70"),
(0xf.be3d87da323be87p-156, "1.7235014706998294962e-46"),
(0xb.d809f3772d38a59p-150, "8.298420730548195494e-45"),
(0xb.61d88e478a80191p-136, "1.3066137006059396529e-40"),
(0x8.7e6e301b42330f6p-115, "2.044824541427335683e-34"),
(0xe.280cfad818ffc45p-115, "3.408040902378892805e-34"),
(0x8.7e6e301b42330f6p-114, "4.089649082854671366e-34"),
(0xe.280cfad818ffc45p-114, "6.81608180475778561e-34"),
(0x8.7e6e301b42330f6p-113, "8.179298165709342732e-34"),
(0xe.280cfad818ffc45p-113, "1.363216360951557122e-33"),
(0xe.280cfad818ffc45p-112, "2.726432721903114244e-33"),
(0xe.280cfad818ffc45p-111, "5.452865443806228488e-33"),
(0xe.280cfad818ffc45p-110, "1.0905730887612456976e-32"),
(0xc.09de12b2b8b462p+169 , "9.008308715099773956e+51"),
(0xc.eb461a5ceb157bep+196, "1.2975058974374774429e+60"),
(0xd.f29472fdfc52a5ep+202, "8.965157263531703087e+61"),
(0x9.63a86496b5f39b5p+206, "9.656322849684964617e+62"),
(0xf.aab4e43915de71bp+239, "1.3840439837858165139e+73"),
(0xf.135bf3c301b911ap+239, "1.3318159089259743813e+73"),
(0xe.7c03034ced93b19p+239, "1.2795878340661322487e+73"),
(0xd.e4aa12d6d96e518p+239, "1.2273597592062901161e+73"),
(0xd.4d512260c548f17p+239, "1.1751316843464479835e+73"),
(0xc.b5f831eab123916p+239, "1.1229036094866058509e+73"),
(0xc.1e9f41749cfe315p+239, "1.0706755346267637183e+73"),
(0xa.efed608874b3713p+239, "9.662193849070794531e+72"),
(0xa.58947012608e112p+239, "9.139913100472373205e+72"),
(0x9.c13b7f9c4c68b11p+239, "8.617632351873951879e+72"),
(0x9.29e28f26384351p+239 , "8.095351603275530553e+72"),
(0x8.92899eb0241df0fp+239, "7.573070854677109227e+72"),
(0xa.58947012608e112p+240, "1.827982620094474641e+73"),
(0xa.58947012608e112p+241, "3.655965240188949282e+73"),
(0xa.58947012608e112p+242, "7.311930480377898564e+73"),
(0xd.4d512260c548f17p+242, "9.401053474771583868e+73"),
(0xc.9240ee0f9d5e4d6p+252, "9.097859174935622588e+76"),
]
#endif
let PrintTests = TestSuite("FloatingPointPrinting")
% for FloatType in ['Float16', 'Float', 'Double', 'Float80']:
% if FloatType == 'Float16':
#if !(os(macOS) && arch(x86_64))
@available(macOS 11.0, iOS 14.0, watchOS 7.0, tvOS 14.0, *)
% elif FloatType == 'Float80':
#if !os(Windows) && (arch(i386) || arch(x86_64))
% end
// Verify that a particular value provides a specific description string.
// Also check that the generated strings actually satisfy our
// accuracy requirements.
fileprivate func expectDescription(_ expected: String, _ object: ${FloatType},
_ message: @autoclosure () -> String = "",
stackTrace: SourceLocStack = SourceLocStack(),
showFrame: Bool = true,
file: String = #file, line: UInt = #line
) {
expectEqual(expected, object.description,
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
expectEqual(expected, object.debugDescription,
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
expectAccurateDescription(object,
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
}
// Verify our key requirements:
//
// * Accurate. A formatted float should parse back to exactly the original
// value.
//
// * Short. The formatted value should use the minimum number of digits needed
// to be accurate.
//
// * Close. If there is more than one accurate and short value, we want the one
// that is closest (as an infinitely-precise real number) to the original
// binary float (interpreted as an infinitely-precise real number).
% if FloatType == 'Float16':
@available(iOS 14.0, watchOS 7.0, tvOS 14.0, *)
@available(macOS, unavailable)
@available(macCatalyst, unavailable)
% end
fileprivate func expectAccurateDescription(_ object: ${FloatType},
_ message: @autoclosure () -> String = "",
stackTrace: SourceLocStack = SourceLocStack(),
showFrame: Bool = true,
file: String = #file, line: UInt = #line
) {
if !object.isFinite {
return
}
// Following checks all return early on failure, since it makes no sense to
// check shortness if the result is inaccurate, etc.
// Verify round-trip accuracy:
let text = object.debugDescription
if let roundTrip = ${FloatType}(text) {
if object != roundTrip {
expectationFailure("Round-trip inaccuracy: \(object) != \(roundTrip)",
trace: message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
return
}
} else {
expectationFailure("Failed to parse \(text)",
trace: message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
return
}
// TODO: Verify shortness by trimming the last digit and checking
// that the result does NOT round-trip.
// TODO: Verify closeness by fuzzing the last digit and checking
// that the result is not closer. Note this requires higher-precision
// arithmetic.
}
% if FloatType in ['Float16','Float80']:
#endif
% end
% end
// Special helper for NaN values
fileprivate func expectNaN<T>(_ expected: String, _ object: T,
_ message: @autoclosure () -> String = "",
stackTrace: SourceLocStack = SourceLocStack(),
showFrame: Bool = true,
file: String = #file, line: UInt = #line
) where T: FloatingPoint & CustomDebugStringConvertible & CustomStringConvertible {
// Regular description always returns "nan"
expectEqual("nan", object.description,
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
// debugDescription tries to print details about NaNs, which is tricky to test.
/*
// We cannot reliably test the exact expected string, because various
// implementations force all NaNs quiet, discard payloads, or clear sign bits.
// In some cases, just passing a NaN into a function (via an FP register) is
// enough to mangle the value.
expectEqual(expected, object.debugDescription,
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
*/
// We can verify that the generated debugDescription text
// follows the expected general format, even when we can't verify the exact value.
var actual = object.debugDescription
// Optional leading "-"
if actual.hasPrefix("-") {
actual = String(actual.dropFirst())
}
// Optional leading "s"
if actual.hasPrefix("s") {
actual = String(actual.dropFirst())
}
// Fixed text "nan"
if actual.prefix(3) != "nan" {
expectationFailure("Badly formatted NaN debug description (expected 'nan'): \(object.debugDescription)", trace:
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
return
}
actual = String(actual.dropFirst(3))
// Optional parenthesized payload after "nan"
if actual.hasPrefix("(0x") {
actual = String(actual.dropFirst(3))
while !actual.isEmpty {
if actual.hasPrefix(")") {
if actual != ")" {
expectationFailure("Malformed NaN: extra text after payload: \(object.debugDescription)", trace:
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
}
return
} else {
// TODO: verify hex digit
}
actual = String(actual.dropFirst())
}
expectationFailure("Malformed NaN: no closing parenthesis after payload: \(object.debugDescription)", trace:
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
} else if !actual.isEmpty {
expectationFailure("Badly formatted NaN debug description has invalid text after 'nan'. Expected '(0x': \(object.debugDescription)", trace:
message(),
stackTrace: stackTrace.pushIf(showFrame, file: file, line: line))
}
}
// Foundation's String(format:) isn't available here, so
// build up "1e-234" manually:
fileprivate func exponentialPowerOfTen(_ power: Int) -> String {
let digits = ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9"]
var s = "1e"
var p = power
if p < 0 {
s += "-"
p = -p
} else {
s += "+"
}
if (p > 999) {
s += digits[ (p / 1000) % 10]
}
if (p > 99) {
s += digits[ (p / 100) % 10]
}
s += digits[ (p / 10) % 10]
s += digits[ p % 10]
return s
}
// An earlier version of Swift's floating-point `.description` logic
// used potentially locale-sensitive C library functions, hence
// this logic to help verify that the output does not depend on
// the C locale.
PrintTests.setUp {
if let localeArgIndex = CommandLine.arguments.firstIndex(of: "--locale") {
let locale = CommandLine.arguments[localeArgIndex + 1]
expectEqual("ru_RU.UTF-8", locale)
setlocale(LC_ALL, locale)
} else {
setlocale(LC_ALL, "")
}
}
// Check that all floating point types
// are CustomStringConvertible
PrintTests.test("CustomStringConvertible") {
func hasDescription(_ any: Any) {
expectTrue(any is CustomStringConvertible)
}
hasDescription(Float(1.0))
hasDescription(Double(1.0))
#if !os(Windows) && (arch(i386) || arch(x86_64))
hasDescription(Float80(1.0))
#endif
hasDescription(CFloat(1.0))
hasDescription(CDouble(1.0))
}
// Check that all floating point types
// are CustomDebugStringConvertible
PrintTests.test("CustomDebugStringConvertible") {
func hasDebugDescription(_ any: Any) {
expectTrue(any is CustomDebugStringConvertible)
}
hasDebugDescription(Float(1.0))
hasDebugDescription(Double(1.0))
#if !os(Windows) && (arch(i386) || arch(x86_64))
hasDebugDescription(Float80(1.0))
#endif
hasDebugDescription(CFloat(1.0))
hasDebugDescription(CDouble(1.0))
}
PrintTests.test("Printable_CFloat") {
// Basic check for CFloat: Since it's a synonym for Float, we don't
// need more detailed verification, just basic sanity.
expectDescription("1.0", CFloat(1.0))
expectDescription("1.1", CFloat(1.1))
expectDescription("-1.0", CFloat(-1.0))
}
PrintTests.test("Printable_CDouble") {
// Likewise for CDouble
expectDescription("1.0", CDouble(1.0))
expectDescription("1.1", CDouble(1.1))
expectDescription("-1.0", CDouble(-1.0))
}
#if !(os(macOS) && arch(x86_64))
if #available(macOS 11.0, iOS 14.0, watchOS 7.0, tvOS 14.0, *) {
PrintTests.test("Printable_Float16") {
func asFloat16(_ f: Float16) -> Float16 { return f }
// Basic sanity checks:
let f = 100.125 as Float16
expectEqual("f = 100.1", "f = \(f)")
expectDescription("0.0", asFloat16(0.0))
expectDescription("-0.0", -asFloat16(0.0))
expectDescription("0.1", asFloat16(0.1))
expectDescription("-0.1", asFloat16(-0.1))
expectDescription("1.0", asFloat16(1.0))
expectDescription("-1.0", asFloat16(-1.0))
expectDescription("1.1", asFloat16(1.1))
expectDescription("100.1", asFloat16(100.125))
expectDescription("-100.1", asFloat16(-100.125))
// Standard special numbers:
expectDescription("inf", Float16.infinity)
expectDescription("-inf", -Float16.infinity)
expectDescription("3.14", Float16.pi)
expectDescription("65504.0", Float16.greatestFiniteMagnitude)
#if !arch(arm)
expectDescription("6e-08", Float16.leastNonzeroMagnitude)
#endif
expectDescription("6.104e-05", Float16.leastNormalMagnitude)
// Special cases for the underlying algorithms:
// Smallest Float16 that requires 5 digits to print accurately
expectDescription("0.00010014", Float16(bitPattern: 0x0690))
// NaNs require special care in testing:
// NaN is printed with additional detail to debugDescription, but not description
expectNaN("nan", Float16.nan)
expectNaN("nan(0xff)", Float16(nan: 255, signaling: false))
expectNaN("nan(0xff)", Float16(bitPattern: 0x7eff))
expectNaN("-nan", -Float16.nan)
expectNaN("-nan(0xff)", -Float16(nan: 255, signaling: false))
/*
// These fail on macOS x86_64, pass on iphonesimulator-i386, and
// probably behave in varying fashion on ARM32 and ARM64.
// So I'll just comment them out for now...
// Once we get real Float16 argument passing everywhere,
// these can be enabled again.
expectFailure {
expectNaN("snan", Float16.signalingNaN)
expectNaN("-snan", -Float16.signalingNaN)
expectNaN("snan(0xff)", Float16(nan: 255, signaling: true))
expectNaN("-snan(0xff)", -Float16(nan: 255, signaling: true))
expectNaN("snan(0xff)", Float16(bitPattern: 0x7dff))
}
*/
expectEqual("nan", Float16.signalingNaN.description)
expectEqual("nan", (-Float16.signalingNaN).description)
expectEqual("nan", Float16(nan: 255, signaling: true).description)
expectEqual("nan", (-Float16(nan: 255, signaling: true)).description)
expectEqual("nan", Float16(bitPattern: 0x7dff).description)
// Every power of 10 should print with only a single digit '1'
let leastPowerOfTen = -7
let greatestPowerOfTen = 4
for power in leastPowerOfTen ... greatestPowerOfTen {
let s: String
if power < -4 { // Exponential form
s = exponentialPowerOfTen(power)
} else if power < 0 { // Fractional decimal form
s = "0." + String(repeating: "0", count: -power - 1) + "1"
} else { // Decimal form
s = "1" + String(repeating: "0", count: power) + ".0"
}
let f = Float16(s)!
expectDescription(s, f)
}
// Powers of 2
expectDescription("6e-08", 0x1p-24 as Float16)
expectDescription("1e-07", 0x1p-23 as Float16)
expectDescription("2.4e-07", 0x1p-22 as Float16)
expectDescription("5e-07", 0x1p-21 as Float16)
expectDescription("9.5e-07", 0x1p-20 as Float16)
expectDescription("1.9e-06", 0x1p-19 as Float16)
expectDescription("3.8e-06", 0x1p-18 as Float16)
expectDescription("7.6e-06", 0x1p-17 as Float16)
expectDescription("1.526e-05", 0x1p-16 as Float16)
expectDescription("3.05e-05", 0x1p-15 as Float16)
expectDescription("6.104e-05", 0x1p-14 as Float16)
expectDescription("0.0001221", 0x1p-13 as Float16)
expectDescription("0.0002441", 0x1p-12 as Float16)
expectDescription("0.0004883", 0x1p-11 as Float16)
expectDescription("0.000977", 0x1p-10 as Float16)
expectDescription("0.001953", 0x1p-9 as Float16)
expectDescription("0.003906", 0x1p-8 as Float16)
expectDescription("0.007812", 0x1p-7 as Float16)
expectDescription("0.01563", 0x1p-6 as Float16)
expectDescription("0.03125", 0x1p-5 as Float16)
expectDescription("0.0625", 0x1p-4 as Float16)
expectDescription("0.125", 0x1p-3 as Float16)
expectDescription("0.25", 0x1p-2 as Float16)
expectDescription("0.5", 0x1p-1 as Float16)
expectDescription("1.0", 0x1p0 as Float16)
expectDescription("2.0", 0x1p1 as Float16)
expectDescription("4.0", 0x1p2 as Float16)
expectDescription("8.0", 0x1p3 as Float16)
expectDescription("16.0", 0x1p4 as Float16)
expectDescription("32.0", 0x1p5 as Float16)
expectDescription("64.0", 0x1p6 as Float16)
expectDescription("128.0", 0x1p7 as Float16)
expectDescription("256.0", 0x1p8 as Float16)
expectDescription("512.0", 0x1p9 as Float16)
expectDescription("1024.0", 0x1p10 as Float16)
// Float16 can represent all integers -2048...2048
// For Float,Double, we use decimal form to this point,
// then exponential, but Float16 is so short that we
// just use decimal for all integer values:
expectDescription("2048.0", Float16(1 << 11))
expectDescription("-2048.0", -Float16(1 << 11))
expectDescription("2050.0", Float16(1 << 11).nextUp)
expectDescription("-2050.0", -(Float16(1 << 11).nextUp))
expectDescription("4096.0", 0x1p12 as Float16)
expectDescription("8192.0", 0x1p13 as Float16)
expectDescription("16384.0", 0x1p14 as Float16)
expectDescription("32768.0", 0x1p15 as Float16)
// Maximum Float16: 2**16 - 2**5
expectDescription("65504.0", Float16(bitPattern:0x7bff))
expectDescription("-65504.0", Float16(bitPattern:0xfbff))
expectDescription("1.0", asFloat16(1.00001))
expectDescription("12496.0", asFloat16(12500.0))
expectDescription("1250.0", asFloat16(1250.0))
expectDescription("125.0", asFloat16(125.0))
expectDescription("12.5", asFloat16(12.5))
expectDescription("1.25", asFloat16(1.25))
expectDescription("0.125", asFloat16(0.125))
expectDescription("0.0125", asFloat16(0.0125))
expectDescription("0.00125", asFloat16(0.00125))
expectDescription("0.000125", asFloat16(0.000125))
expectDescription("1.25e-05", asFloat16(0.0000125))
expectDescription("1.25e-06", asFloat16(0.00000125))
expectDescription("1e-07", asFloat16(0.000000125))
expectDescription("0.0", asFloat16(0.0000000125))
}
}
#endif
PrintTests.test("Printable_Float") {
func asFloat32(_ f: Float32) -> Float32 { return f }
// Basic sanity checks:
let f = 100.125 as Float
expectEqual("f = 100.125", "f = \(f)")
expectDescription("0.0", asFloat32(0.0))
expectDescription("-0.0", -asFloat32(0.0))
expectDescription("0.1", asFloat32(0.1))
expectDescription("-0.1", asFloat32(-0.1))
expectDescription("1.0", asFloat32(1.0))
expectDescription("-1.0", asFloat32(-1.0))
expectDescription("1.1", asFloat32(1.1))
expectDescription("100.125", asFloat32(100.125))
expectDescription("-100.125", asFloat32(-100.125))
// Standard special numbers:
expectDescription("inf", Float.infinity)
expectDescription("-inf", -Float.infinity)
expectDescription("3.1415925", Float.pi)
expectDescription("3.4028235e+38", Float.greatestFiniteMagnitude)
#if !arch(arm)
expectDescription("1e-45", Float.leastNonzeroMagnitude)
#endif
expectDescription("1.1754944e-38", Float.leastNormalMagnitude)
// Special cases for the underlying algorithms:
// Smallest Float that requires 9 digits to print accurately
expectDescription("1.00000075e-36", 1.00000075e-36 as Float)
// Worst case for shortness:
// Float for which the shortest accurate decimal form is
// closest to the midpoint between two binary floats
expectDescription("7.0385313e-26", 7.0385313e-26 as Float)
// Second-worst case for shortness:
expectDescription("7.038531e-26", Float("7.038531e-26")!)
// Note: The above test computes the reference value from a
// string because `7.038531e-26 as Float` is broken:
// See https://bugs.swift.org/browse/SR-7124
// NaNs require special care in testing:
// NaN is printed with additional detail to debugDescription, but not description
expectNaN("nan", Float.nan)
expectNaN("nan(0xffff)", Float(nan: 65535, signaling: false))
expectNaN("nan(0x1fffff)", Float(bitPattern: 0x7fff_ffff))
expectNaN("nan(0x1fffff)", Float(bitPattern: 0x7fdf_ffff))
expectNaN("-nan", -Float.nan)
expectNaN("-nan(0xffff)", -Float(nan: 65535, signaling: false))
expectNaN("snan", Float.signalingNaN)
expectNaN("-snan", -Float.signalingNaN)
expectNaN("snan(0xffff)", Float(nan: 65535, signaling: true))
expectNaN("-snan(0xffff)", -Float(nan: 65535, signaling: true))
expectNaN("snan(0x1fffff)", Float(bitPattern: 0x7fbf_ffff))
// Every power of 10 should print with only a single digit '1'
#if arch(arm)
let lowerBound = -37
#else
let lowerBound = -45
#endif
for power in lowerBound ... 38 {
let s: String
if power < -4 || power > 7 { // Exponential form
s = exponentialPowerOfTen(power)
} else if power < 0 { // Fractional decimal form
s = "0." + String(repeating: "0", count: -power - 1) + "1"
} else { // Decimal form
s = "1" + String(repeating: "0", count: power) + ".0"
}
let f = Float(s)!
expectDescription(s, f)
}
// Test the 170 "worst cases" listed above.
for (f,s) in generatedCases_Float {
expectAccurateDescription(f.nextDown)
expectDescription(s, f)
expectAccurateDescription(f.nextUp)
}
// Float can represent all integers -(2^24)...(2^24)
let maxDecimalForm = Float(1 << 24)
expectDescription("16777216.0", maxDecimalForm)
expectDescription("-16777216.0", -maxDecimalForm)
// Outside of that range, use exponential form
expectDescription("1.6777218e+07", maxDecimalForm.nextUp)
expectDescription("-1.6777218e+07", -maxDecimalForm.nextUp)
expectDescription("1.00001", asFloat32(1.00001))
expectDescription("1.25e+17", asFloat32(125000000000000000.0))
expectDescription("1.25e+16", asFloat32(12500000000000000.0))
expectDescription("1.25e+15", asFloat32(1250000000000000.0))
expectDescription("1.25e+14", asFloat32(125000000000000.0))
expectDescription("1.25e+13", asFloat32(12500000000000.0))
expectDescription("1.25e+12", asFloat32(1250000000000.0))
expectDescription("1.25e+11", asFloat32(125000000000.0))
expectDescription("1.25e+10", asFloat32(12500000000.0))
expectDescription("1.25e+09", asFloat32(1250000000.0))
expectDescription("1.25e+08", asFloat32(125000000.0))
expectDescription("12500000.0", asFloat32(12500000.0))
expectDescription("1250000.0", asFloat32(1250000.0))
expectDescription("125000.0", asFloat32(125000.0))
expectDescription("12500.0", asFloat32(12500.0))
expectDescription("1250.0", asFloat32(1250.0))
expectDescription("125.0", asFloat32(125.0))
expectDescription("12.5", asFloat32(12.5))
expectDescription("1.25", asFloat32(1.25))
expectDescription("0.125", asFloat32(0.125))
expectDescription("0.0125", asFloat32(0.0125))
expectDescription("0.00125", asFloat32(0.00125))
expectDescription("0.000125", asFloat32(0.000125))
expectDescription("1.25e-05", asFloat32(0.0000125))
expectDescription("1.25e-06", asFloat32(0.00000125))
expectDescription("1.25e-07", asFloat32(0.000000125))
expectDescription("1.25e-08", asFloat32(0.0000000125))
expectDescription("1.25e-09", asFloat32(0.00000000125))
expectDescription("1.25e-10", asFloat32(0.000000000125))
expectDescription("1.25e-11", asFloat32(0.0000000000125))
expectDescription("1.25e-12", asFloat32(0.00000000000125))
expectDescription("1.25e-13", asFloat32(0.000000000000125))
expectDescription("1.25e-14", asFloat32(0.0000000000000125))
expectDescription("1.25e-15", asFloat32(0.00000000000000125))
expectDescription("1.25e-16", asFloat32(0.000000000000000125))
expectDescription("1.25e-17", asFloat32(0.0000000000000000125))
}
PrintTests.test("Printable_Double") {
func asFloat64(_ f: Float64) -> Float64 { return f }
// Sanity check
let f = 100.125 as Double
expectEqual("f = 100.125", "f = \(f)")
expectDescription("0.0", asFloat64(0.0))
expectDescription("-0.0", asFloat64(-0.0))
expectDescription("0.1", asFloat64(0.1))
expectDescription("-0.1", asFloat64(-0.1))
expectDescription("1.0", asFloat64(1.0))
expectDescription("-1.0", asFloat64(-1.0))
expectDescription("1.1", asFloat64(1.1))
expectDescription("100.125", asFloat64(100.125))
expectDescription("-100.125", asFloat64(-100.125))
// Special values
expectDescription("3.141592653589793", Double.pi)
expectDescription("1.7976931348623157e+308", Double.greatestFiniteMagnitude)
#if !arch(arm)
expectDescription("5e-324", Double.leastNonzeroMagnitude)
#endif
expectDescription("2.2250738585072014e-308", Double.leastNormalMagnitude)
expectDescription("inf", Double.infinity)
expectDescription("-inf", -Double.infinity)
// Worst case for Double shortness:
expectDescription("2.311989689387339e-82", 2.311989689387339e-82)
// Verify NaNs
expectNaN("nan", Double.nan)
expectNaN("-nan", -Double.nan)
expectNaN("nan(0xffff)", Double(nan: 65535, signaling: false))
expectNaN("nan(0x3ffffffffffff)", Float64(bitPattern: 0x7fff_ffff_ffff_ffff))
expectNaN("nan(0x3ffffffffffff)", Float64(bitPattern: 0x7ffb_ffff_ffff_ffff))
expectNaN("-nan(0xffff)", -Double(nan: 65535, signaling: false))
expectNaN("snan", Double.signalingNaN)
expectNaN("-snan", -Double.signalingNaN)
expectNaN("snan(0xffff)", Double(nan: 65535, signaling: true))
expectNaN("-snan(0xffff)", -Double(nan: 65535, signaling: true))
expectNaN("snan(0x3ffffffffffff)", Float64(bitPattern: 0x7ff7_ffff_ffff_ffff))
// We know how every power of 10 should print
#if arch(arm)
let lowerBound = -307
#else
let lowerBound = -323
#endif
for power in lowerBound ... 308 {
let s: String
if power < -4 || power > 15 { // Exponential form
s = exponentialPowerOfTen(power)
} else if power < 0 { // Fractional decimal form
s = "0." + String(repeating: "0", count: -power - 1) + "1"
} else { // Decimal form
s = "1" + String(repeating: "0", count: power) + ".0"
}
let f = Double(s)!
expectDescription(s, f)
}
// Verify 74 extreme values generated using a technique from the Errol paper,
// plus many nearby values.
for (d, s) in generatedCases_Double {
expectDescription(s, d)
// Also check nearby values.
var upCase = d
var downCase = d
for _ in 0..<10 {
upCase = upCase.nextUp
expectAccurateDescription(upCase)
downCase = downCase.nextDown
expectAccurateDescription(downCase)
}
}
// Double can represent all integers -(2^53)...(2^53)
let maxDecimalForm = Double((1 as Int64) << 53)
expectDescription("9007199254740992.0", maxDecimalForm)
expectDescription("-9007199254740992.0", -maxDecimalForm)
// Outside of that range, we use exponential form:
expectDescription("9.007199254740994e+15", maxDecimalForm.nextUp)
expectDescription("-9.007199254740994e+15", -maxDecimalForm.nextUp)
expectDescription("1.00000000000001", asFloat64(1.00000000000001))
expectDescription("1.25e+17", asFloat64(125000000000000000.0))
expectDescription("1.25e+16", asFloat64(12500000000000000.0))
expectDescription("1250000000000000.0", asFloat64(1250000000000000.0))
expectDescription("125000000000000.0", asFloat64(125000000000000.0))
expectDescription("12500000000000.0", asFloat64(12500000000000.0))
expectDescription("1250000000000.0", asFloat64(1250000000000.0))
expectDescription("125000000000.0", asFloat64(125000000000.0))
expectDescription("12500000000.0", asFloat64(12500000000.0))
expectDescription("1250000000.0", asFloat64(1250000000.0))
expectDescription("125000000.0", asFloat64(125000000.0))
expectDescription("12500000.0", asFloat64(12500000.0))
expectDescription("1250000.0", asFloat64(1250000.0))
expectDescription("125000.0", asFloat64(125000.0))
expectDescription("12500.0", asFloat64(12500.0))
expectDescription("1250.0", asFloat64(1250.0))
expectDescription("125.0", asFloat64(125.0))
expectDescription("12.5", asFloat64(12.5))
expectDescription("1.25", asFloat64(1.25))
expectDescription("0.125", asFloat64(0.125))
expectDescription("0.0125", asFloat64(0.0125))
expectDescription("0.00125", asFloat64(0.00125))
expectDescription("0.000125", asFloat64(0.000125))
expectDescription("1.25e-05", asFloat64(0.0000125))
expectDescription("1.25e-06", asFloat64(0.00000125))
expectDescription("1.25e-07", asFloat64(0.000000125))
expectDescription("1.25e-08", asFloat64(0.0000000125))
expectDescription("1.25e-09", asFloat64(0.00000000125))
expectDescription("1.25e-10", asFloat64(0.000000000125))
expectDescription("1.25e-11", asFloat64(0.0000000000125))
expectDescription("1.25e-12", asFloat64(0.00000000000125))
expectDescription("1.25e-13", asFloat64(0.000000000000125))
expectDescription("1.25e-14", asFloat64(0.0000000000000125))
expectDescription("1.25e-15", asFloat64(0.00000000000000125))
expectDescription("1.25e-16", asFloat64(0.000000000000000125))
expectDescription("1.25e-17", asFloat64(0.0000000000000000125))
}
PrintTests.test("Printable_Float80") {
#if !os(Windows) && (arch(i386) || arch(x86_64))
func asFloat80(_ f: Swift.Float80) -> Swift.Float80 { return f }
// Sanity
let f = 100.125 as Float80
expectEqual("f = 100.125", "f = \(f)")
expectDescription("0.0", asFloat80(0.0))
expectDescription("-0.0", -asFloat80(0.0))
expectDescription("0.1", asFloat80(0.1))
expectDescription("-0.1", asFloat80(-0.1))
expectDescription("1.0", asFloat80(1.0))
expectDescription("-1.0", asFloat80(-1.0))
expectDescription("1.1", asFloat80(1.1))
expectDescription("100.125", asFloat80(100.125))
expectDescription("-100.125", asFloat80(-100.125))
// Special values
expectDescription("3.1415926535897932385", Float80.pi)
expectDescription("1.189731495357231765e+4932", Float80.greatestFiniteMagnitude)
expectDescription("4e-4951", Float80.leastNonzeroMagnitude)
expectDescription("3.3621031431120935063e-4932", Float80.leastNormalMagnitude)
expectDescription("inf", Float80.infinity)
expectDescription("-inf", -Float80.infinity)
// NaNs
expectNaN("nan", Float80.nan)
expectNaN("nan(0xffff)", Float80(nan: 65535, signaling: false))
expectNaN("nan(0x1fffffffffffffff)", Float80(sign: .plus, exponentBitPattern: 0x7fff, significandBitPattern: 0xffff_ffff_ffff_ffff))
expectNaN("nan(0x1fffffffffffffff)", Float80(sign: .plus, exponentBitPattern: 0x7fff, significandBitPattern: 0xdfff_ffff_ffff_ffff))
expectNaN("-nan", -Float80.nan)
expectNaN("-nan(0xffff)", -Float80(nan: 65535, signaling: false))
expectNaN("snan", Float80.signalingNaN)
expectNaN("-snan", -Float80.signalingNaN)
expectNaN("snan(0xffff)", Float80(nan: 65535, signaling: true))
expectNaN("-snan(0xffff)", -Float80(nan: 65535, signaling: true))
expectNaN("snan(0x1fffffffffffffff)", Float80(sign: .plus, exponentBitPattern: 0x7fff, significandBitPattern: 0xbfff_ffff_ffff_ffff))
// We know how every power of 10 should print
for power in -4950 ... 4932 {
let s: String
if power < -4 || power > 19 { // Exponential form
s = exponentialPowerOfTen(power)
} else if power < 0 { // Fractional decimal form
s = "0." + String(repeating: "0", count: -power - 1) + "1"
} else { // Decimal form
s = "1" + String(repeating: "0", count: power) + ".0"
}
let f = Float80(s)!
expectDescription(s, f)
}
// Verify the extreme cases generated via the Errol technique.
for (d, s) in generatedCases_Float80 {
expectDescription(s, d)
var upCase = d
var downCase = d
for _ in 0..<10 {
upCase = upCase.nextUp
expectAccurateDescription(upCase)
downCase = downCase.nextDown
expectAccurateDescription(downCase)
}
}
// Float80 can represent all integers -(2^64)...(2^64):
let maxDecimalForm = Float80(UInt64.max) + 1.0
expectDescription("18446744073709551616.0", maxDecimalForm)
expectDescription("-18446744073709551616.0", -maxDecimalForm)
// Outside of that range, use exponential form
expectDescription("1.8446744073709551618e+19", maxDecimalForm.nextUp)
expectDescription("-1.8446744073709551618e+19", -maxDecimalForm.nextUp)
expectDescription("1.00000000000000001", asFloat80(1.00000000000000001))
expectDescription("1.25e+21", asFloat80(1250000000000000000000.0))
expectDescription("1.25e+20", asFloat80(125000000000000000000.0))
expectDescription("12500000000000000000.0", asFloat80(12500000000000000000.0))
expectDescription("1250000000000000000.0", asFloat80(1250000000000000000.0))
expectDescription("125000000000000000.0", asFloat80(125000000000000000.0))
expectDescription("12500000000000000.0", asFloat80(12500000000000000.0))
expectDescription("1250000000000000.0", asFloat80(1250000000000000.0))
expectDescription("125000000000000.0", asFloat80(125000000000000.0))
expectDescription("12500000000000.0", asFloat80(12500000000000.0))
expectDescription("1250000000000.0", asFloat80(1250000000000.0))
expectDescription("125000000000.0", asFloat80(125000000000.0))
expectDescription("12500000000.0", asFloat80(12500000000.0))
expectDescription("1250000000.0", asFloat80(1250000000.0))
expectDescription("125000000.0", asFloat80(125000000.0))
expectDescription("12500000.0", asFloat80(12500000.0))
expectDescription("1250000.0", asFloat80(1250000.0))
expectDescription("125000.0", asFloat80(125000.0))
expectDescription("12500.0", asFloat80(12500.0))
expectDescription("1250.0", asFloat80(1250.0))
expectDescription("125.0", asFloat80(125.0))
expectDescription("12.5", asFloat80(12.5))
expectDescription("1.25", asFloat80(1.25))
expectDescription("0.125", asFloat80(0.125))
expectDescription("0.0125", asFloat80(0.0125))
expectDescription("0.00125", asFloat80(0.00125))
expectDescription("0.000125", asFloat80(0.000125))
expectDescription("1.25e-05", asFloat80(0.0000125))
expectDescription("1.25e-06", asFloat80(0.00000125))
expectDescription("1.25e-07", asFloat80(0.000000125))
expectDescription("1.25e-08", asFloat80(0.0000000125))
expectDescription("1.25e-09", asFloat80(0.00000000125))
expectDescription("1.25e-10", asFloat80(0.000000000125))
expectDescription("1.25e-11", asFloat80(0.0000000000125))
expectDescription("1.25e-12", asFloat80(0.00000000000125))
expectDescription("1.25e-13", asFloat80(0.000000000000125))
expectDescription("1.25e-14", asFloat80(0.0000000000000125))
expectDescription("1.25e-15", asFloat80(0.00000000000000125))
expectDescription("1.25e-16", asFloat80(0.000000000000000125))
expectDescription("1.25e-17", asFloat80(0.0000000000000000125))
#endif
}
runAllTests()
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