1 # Floating-point conversion test cases. 2 # Empty lines and lines beginning with # are ignored. 3 # The rest have four fields per line: type, format, input, and output. 4 # The input is given either in decimal or binary scientific notation. 5 # The output is the string that should be produced by formatting the 6 # input with the given format. 7 # 8 # The formats are as in C's printf, except that %b means print 9 # binary scientific notation: NpE = N x 2^E. 10 11 # TODO: 12 # Powers of 10. 13 # Powers of 2. 14 # %.20g versions. 15 # random sources 16 # random targets 17 # random targets half a ULP 18 19 # Difficult boundary cases, derived from tables given in 20 # Vern Paxson, A Program for Testing IEEE Decimal-Binary Conversion 21 # ftp://ftp.ee.lbl.gov/testbase-report.ps.Z 22 23 # Table 1: Stress Inputs for Conversion to 53-bit Binary, < 1/2 ULP 24 float64 %b 5e+125 6653062250012735p+365 25 float64 %b 69e+267 4705683757438170p+841 26 float64 %b 999e-026 6798841691080350p-129 27 float64 %b 7861e-034 8975675289889240p-153 28 float64 %b 75569e-254 6091718967192243p-880 29 float64 %b 928609e-261 7849264900213743p-900 30 float64 %b 9210917e+080 8341110837370930p+236 31 float64 %b 84863171e+114 4625202867375927p+353 32 float64 %b 653777767e+273 5068902999763073p+884 33 float64 %b 5232604057e-298 5741343011915040p-1010 34 float64 %b 27235667517e-109 6707124626673586p-380 35 float64 %b 653532977297e-123 7078246407265384p-422 36 float64 %b 3142213164987e-294 8219991337640559p-988 37 float64 %b 46202199371337e-072 5224462102115359p-246 38 float64 %b 231010996856685e-073 5224462102115359p-247 39 float64 %b 9324754620109615e+212 5539753864394442p+705 40 float64 %b 78459735791271921e+049 8388176519442766p+166 41 float64 %b 272104041512242479e+200 5554409530847367p+670 42 float64 %b 6802601037806061975e+198 5554409530847367p+668 43 float64 %b 20505426358836677347e-221 4524032052079546p-722 44 float64 %b 836168422905420598437e-234 5070963299887562p-760 45 float64 %b 4891559871276714924261e+222 6452687840519111p+757 46 47 # Table 2: Stress Inputs for Conversion to 53-bit Binary, > 1/2 ULP 48 float64 %b 9e-265 8168427841980010p-930 49 float64 %b 85e-037 6360455125664090p-169 50 float64 %b 623e+100 6263531988747231p+289 51 float64 %b 3571e+263 6234526311072170p+833 52 float64 %b 81661e+153 6696636728760206p+472 53 float64 %b 920657e-023 5975405561110124p-109 54 float64 %b 4603285e-024 5975405561110124p-110 55 float64 %b 87575437e-309 8452160731874668p-1053 56 float64 %b 245540327e+122 4985336549131723p+381 57 float64 %b 6138508175e+120 4985336549131723p+379 58 float64 %b 83356057653e+193 5986732817132056p+625 59 float64 %b 619534293513e+124 4798406992060657p+399 60 float64 %b 2335141086879e+218 5419088166961646p+713 61 float64 %b 36167929443327e-159 8135819834632444p-536 62 float64 %b 609610927149051e-255 4576664294594737p-850 63 float64 %b 3743626360493413e-165 6898586531774201p-549 64 float64 %b 94080055902682397e-242 6273271706052298p-800 65 float64 %b 899810892172646163e+283 7563892574477827p+947 66 float64 %b 7120190517612959703e+120 5385467232557565p+409 67 float64 %b 25188282901709339043e-252 5635662608542340p-825 68 float64 %b 308984926168550152811e-052 5644774693823803p-157 69 float64 %b 6372891218502368041059e+064 4616868614322430p+233 70 71 # Table 3: Stress Inputs for Converting 53-bit Binary to Decimal, < 1/2 ULP 72 float64 %.0e 8511030020275656p-342 9e-88 73 float64 %.1e 5201988407066741p-824 4.6e-233 74 float64 %.2e 6406892948269899p+237 1.41e+87 75 float64 %.3e 8431154198732492p+72 3.981e+37 76 float64 %.4e 6475049196144587p+99 4.1040e+45 77 float64 %.5e 8274307542972842p+726 2.92084e+234 78 float64 %.6e 5381065484265332p-456 2.891946e-122 79 float64 %.7e 6761728585499734p-1057 4.3787718e-303 80 float64 %.8e 7976538478610756p+376 1.22770163e+129 81 float64 %.9e 5982403858958067p+377 1.841552452e+129 82 float64 %.10e 5536995190630837p+93 5.4835744350e+43 83 float64 %.11e 7225450889282194p+710 3.89190181146e+229 84 float64 %.12e 7225450889282194p+709 1.945950905732e+229 85 float64 %.13e 8703372741147379p+117 1.4460958381605e+51 86 float64 %.14e 8944262675275217p-1001 4.17367747458531e-286 87 float64 %.15e 7459803696087692p-707 1.107950772878888e-197 88 float64 %.16e 6080469016670379p-381 1.2345501366327440e-99 89 float64 %.17e 8385515147034757p+721 9.25031711960365024e+232 90 float64 %.18e 7514216811389786p-828 4.198047150284889840e-234 91 float64 %.19e 8397297803260511p-345 1.1716315319786511046e-88 92 float64 %.20e 6733459239310543p+202 4.32810072844612493629e+76 93 float64 %.21e 8091450587292794p-473 3.317710118160031081518e-127 94 95 # Table 4: Stress Inputs for Converting 53-bit Binary to Decimal, > 1/2 ULP 96 float64 %.0e 6567258882077402p+952 3e+302 97 float64 %.1e 6712731423444934p+535 7.6e+176 98 float64 %.2e 6712731423444934p+534 3.78e+176 99 float64 %.3e 5298405411573037p-957 4.350e-273 100 float64 %.4e 5137311167659507p-144 2.3037e-28 101 float64 %.5e 6722280709661868p+363 1.26301e+125 102 float64 %.6e 5344436398034927p-169 7.142211e-36 103 float64 %.7e 8369123604277281p-853 1.3934574e-241 104 float64 %.8e 8995822108487663p-780 1.41463449e-219 105 float64 %.9e 8942832835564782p-383 4.539277920e-100 106 float64 %.10e 8942832835564782p-384 2.2696389598e-100 107 float64 %.11e 8942832835564782p-385 1.13481947988e-100 108 float64 %.12e 6965949469487146p-249 7.700366561890e-60 109 float64 %.13e 6965949469487146p-250 3.8501832809448e-60 110 float64 %.14e 6965949469487146p-251 1.92509164047238e-60 111 float64 %.15e 7487252720986826p+548 6.898586531774201e+180 112 float64 %.16e 5592117679628511p+164 1.3076622631878654e+65 113 float64 %.17e 8887055249355788p+665 1.36052020756121240e+216 114 float64 %.18e 6994187472632449p+690 3.592810217475959676e+223 115 float64 %.19e 8797576579012143p+588 8.9125197712484551899e+192 116 float64 %.20e 7363326733505337p+272 5.58769757362301140950e+97 117 float64 %.21e 8549497411294502p-448 1.176257830728540379990e-119 118 119 # Table 14: Stress Inputs for Conversion to 24-bit Binary, <1/2 ULP 120 # NOTE: The lines with exponent p-149 have been changed from the 121 # paper. Those entries originally read p-150 and had a mantissa 122 # twice as large (and even), but IEEE single-precision has no p-150: 123 # that's the start of the denormals. 124 float32 %b 5e-20 15474250p-88 125 float32 %b 67e+14 12479722p+29 126 float32 %b 985e+15 14333636p+36 127 # float32 %b 7693e-42 10979816p-150 128 float32 %b 7693e-42 5489908p-149 129 float32 %b 55895e-16 12888509p-61 130 # float32 %b 996622e-44 14224264p-150 131 float32 %b 996622e-44 7112132p-149 132 float32 %b 7038531e-32 11420669p-107 133 # float32 %b 60419369e-46 8623340p-150 134 float32 %b 60419369e-46 4311670p-149 135 float32 %b 702990899e-20 16209866p-61 136 # float32 %b 6930161142e-48 9891056p-150 137 float32 %b 6930161142e-48 4945528p-149 138 float32 %b 25933168707e+13 14395800p+54 139 float32 %b 596428896559e+20 12333860p+82 140 141 # Table 15: Stress Inputs for Conversion to 24-bit Binary, >1/2 ULP 142 float32 %b 3e-23 9507380p-98 143 float32 %b 57e+18 12960300p+42 144 float32 %b 789e-35 10739312p-130 145 float32 %b 2539e-18 11990089p-72 146 float32 %b 76173e+28 9845130p+86 147 float32 %b 887745e-11 9760860p-40 148 float32 %b 5382571e-37 11447463p-124 149 float32 %b 82381273e-35 8554961p-113 150 float32 %b 750486563e-38 9975678p-120 151 float32 %b 3752432815e-39 9975678p-121 152 float32 %b 75224575729e-45 13105970p-137 153 float32 %b 459926601011e+15 12466336p+65 154 155 # Table 16: Stress Inputs for Converting 24-bit Binary to Decimal, < 1/2 ULP 156 float32 %.0e 12676506p-102 2e-24 157 float32 %.1e 12676506p-103 1.2e-24 158 float32 %.2e 15445013p+86 1.19e+33 159 float32 %.3e 13734123p-138 3.941e-35 160 float32 %.4e 12428269p-130 9.1308e-33 161 float32 %.5e 15334037p-146 1.71900e-37 162 float32 %.6e 11518287p-41 5.237910e-06 163 float32 %.7e 12584953p-145 2.8216440e-37 164 float32 %.8e 15961084p-125 3.75243281e-31 165 float32 %.9e 14915817p-146 1.672120916e-37 166 float32 %.10e 10845484p-102 2.1388945814e-24 167 float32 %.11e 16431059p-61 7.12583594561e-12 168 169 # Table 17: Stress Inputs for Converting 24-bit Binary to Decimal, > 1/2 ULP 170 float32 %.0e 16093626p+69 1e+28 171 float32 %.1e 9983778p+25 3.4e+14 172 float32 %.2e 12745034p+104 2.59e+38 173 float32 %.3e 12706553p+72 6.001e+28 174 float32 %.4e 11005028p+45 3.8721e+20 175 float32 %.5e 15059547p+71 3.55584e+28 176 float32 %.6e 16015691p-99 2.526831e-23 177 float32 %.7e 8667859p+56 6.2458507e+23 178 float32 %.8e 14855922p-82 3.07213267e-18 179 float32 %.9e 14855922p-83 1.536066333e-18 180 float32 %.10e 10144164p-110 7.8147796834e-27 181 float32 %.11e 13248074p+95 5.24810279937e+35 182
