Program: testtriplefactorial.c Test Triple_Factorial() Exceptional values: Argument <= -3, return 0, Argument > Double_Factorial_Max_Arg() return DBL_MAX (-3)!!! 0.0000000000000000e+00 (420)!!! 1.7976931348623157e+308 (421)!!! 1.7976931348623157e+308 Triple Factorials n!!! Triple_Factorial(n) n*Triple_Factorial(n-3) Relative Error / DBL_EPSILON -2!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 -1!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 0!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 1!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 2!!! 2.0000000000000000e+00 2.0000000000000000e+00 0.0000 3!!! 3.0000000000000000e+00 3.0000000000000000e+00 0.0000 4!!! 4.0000000000000000e+00 4.0000000000000000e+00 0.0000 5!!! 1.0000000000000000e+01 1.0000000000000000e+01 0.0000 6!!! 1.8000000000000000e+01 1.8000000000000000e+01 0.0000 7!!! 2.8000000000000000e+01 2.8000000000000000e+01 0.0000 8!!! 8.0000000000000000e+01 8.0000000000000000e+01 0.0000 9!!! 1.6200000000000000e+02 1.6200000000000000e+02 0.0000 10!!! 2.8000000000000000e+02 2.8000000000000000e+02 0.0000 11!!! 8.8000000000000000e+02 8.8000000000000000e+02 0.0000 12!!! 1.9440000000000000e+03 1.9440000000000000e+03 0.0000 13!!! 3.6400000000000000e+03 3.6400000000000000e+03 0.0000 14!!! 1.2320000000000000e+04 1.2320000000000000e+04 0.0000 15!!! 2.9160000000000000e+04 2.9160000000000000e+04 0.0000 16!!! 5.8240000000000000e+04 5.8240000000000000e+04 0.0000 17!!! 2.0944000000000000e+05 2.0944000000000000e+05 0.0000 18!!! 5.2488000000000000e+05 5.2488000000000000e+05 0.0000 19!!! 1.1065600000000000e+06 1.1065600000000000e+06 0.0000 20!!! 4.1888000000000000e+06 4.1888000000000000e+06 0.0000 21!!! 1.1022480000000000e+07 1.1022480000000000e+07 0.0000 22!!! 2.4344320000000000e+07 2.4344320000000000e+07 0.0000 23!!! 9.6342400000000000e+07 9.6342400000000000e+07 0.0000 24!!! 2.6453952000000000e+08 2.6453952000000000e+08 0.0000 25!!! 6.0860800000000000e+08 6.0860800000000000e+08 0.0000 26!!! 2.5049024000000000e+09 2.5049024000000000e+09 0.0000 27!!! 7.1425670400000000e+09 7.1425670400000000e+09 0.0000 28!!! 1.7041024000000000e+10 1.7041024000000000e+10 0.0000 29!!! 7.2642169600000000e+10 7.2642169600000000e+10 0.0000 30!!! 2.1427701120000000e+11 2.1427701120000000e+11 0.0000 31!!! 5.2827174400000000e+11 5.2827174400000000e+11 0.0000 32!!! 2.3245494272000000e+12 2.3245494272000000e+12 0.0000 33!!! 7.0711413696000000e+12 7.0711413696000000e+12 0.0000 34!!! 1.7961239296000000e+13 1.7961239296000000e+13 0.0000 35!!! 8.1359229952000000e+13 8.1359229952000000e+13 0.0000 36!!! 2.5456108930560000e+14 2.5456108930560000e+14 0.0000 37!!! 6.6456585395200000e+14 6.6456585395200000e+14 0.0000 38!!! 3.0916507381760000e+15 3.0916507381760000e+15 0.0000 39!!! 9.9278824829184000e+15 9.9278824829184000e+15 0.0000 40!!! 2.6582634158080000e+16 2.6582634158080000e+16 0.0000 41!!! 1.2675768026521600e+17 1.2675768026521600e+17 0.0000 42!!! 4.1697106428257280e+17 4.1697106428257280e+17 0.0000 43!!! 1.1430532687974400e+18 1.1430532687974400e+18 0.0000 44!!! 5.5773379316695040e+18 5.5773379316695040e+18 0.0000 45!!! 1.8763697892715774e+19 1.8763697892715774e+19 0.0000 46!!! 5.2580450364682240e+19 5.2580450364682240e+19 0.0000 47!!! 2.6213488278846669e+20 2.6213488278846669e+20 0.0000 48!!! 9.0065749885035728e+20 9.0065749885035715e+20 0.6554 49!!! 2.5764420678694297e+21 2.5764420678694297e+21 0.0000 50!!! 1.3106744139423335e+22 1.3106744139423335e+22 0.0000 51!!! 4.5933532441368219e+22 4.5933532441368219e+22 0.0000 52!!! 1.3397498752921035e+23 1.3397498752921034e+23 0.5640 53!!! 6.9465743938943667e+23 6.9465743938943667e+23 0.0000 54!!! 2.4804107518338839e+24 2.4804107518338839e+24 0.0000 55!!! 7.3686243141065687e+24 7.3686243141065697e+24 -0.6563 56!!! 3.8900816605808452e+25 3.8900816605808452e+25 0.0000 57!!! 1.4138341285453139e+26 1.4138341285453139e+26 0.0000 58!!! 4.2738021021818103e+26 4.2738021021818097e+26 0.7241 59!!! 2.2951481797426989e+27 2.2951481797426986e+27 0.5394 60!!! 8.4830047712718824e+27 8.4830047712718835e+27 -0.5837 61!!! 2.6070192823309043e+28 2.6070192823309043e+28 0.0000 62!!! 1.4229918714404734e+29 1.4229918714404732e+29 0.5568 63!!! 5.3442930059012860e+29 5.3442930059012860e+29 0.0000 64!!! 1.6684923406917787e+30 1.6684923406917787e+30 0.0000 65!!! 9.2494471643630768e+30 9.2494471643630768e+30 0.0000 66!!! 3.5272333838948488e+31 3.5272333838948488e+31 0.0000 67!!! 1.1178898682634917e+32 1.1178898682634917e+32 0.0000 68!!! 6.2896240717668925e+32 6.2896240717668925e+32 0.0000 69!!! 2.4337910348874458e+33 2.4337910348874458e+33 0.0000 70!!! 7.8252290778444425e+33 7.8252290778444425e+33 0.0000 71!!! 4.4656330909544934e+34 4.4656330909544934e+34 0.0000 72!!! 1.7523295451189609e+35 1.7523295451189609e+35 0.0000 73!!! 5.7124172268264426e+35 5.7124172268264433e+35 -0.5817 74!!! 3.3045684873063251e+36 3.3045684873063251e+36 0.0000 75!!! 1.3142471588392206e+37 1.3142471588392208e+37 -0.8091 76!!! 4.3414370923880965e+37 4.3414370923880965e+37 0.0000 77!!! 2.5445177352258704e+38 2.5445177352258704e+38 0.0000 78!!! 1.0251127838945922e+39 1.0251127838945920e+39 0.6639 79!!! 3.4297353029865961e+39 3.4297353029865961e+39 0.0000 80!!! 2.0356141881806964e+40 2.0356141881806962e+40 0.5349 81!!! 8.3034135495461967e+40 8.3034135495461967e+40 0.0000 82!!! 2.8123829484490088e+41 2.8123829484490088e+41 0.0000 83!!! 1.6895597761899779e+42 1.6895597761899779e+42 0.0000 84!!! 6.9748673816188043e+42 6.9748673816188055e+42 -0.7993 85!!! 2.3905255061816574e+43 2.3905255061816574e+43 0.0000 86!!! 1.4530214075233809e+44 1.4530214075233809e+44 0.0000 87!!! 6.0681346220083604e+44 6.0681346220083596e+44 0.5880 88!!! 2.1036624454398586e+45 2.1036624454398583e+45 0.6785 89!!! 1.2931890526958092e+46 1.2931890526958090e+46 0.8829 90!!! 5.4613211598075242e+46 5.4613211598075242e+46 0.0000 91!!! 1.9143328253502712e+47 1.9143328253502716e+47 -0.9543 92!!! 1.1897339284801444e+48 1.1897339284801444e+48 0.0000 93!!! 5.0790286786209975e+48 5.0790286786209975e+48 0.0000 94!!! 1.7994728558292550e+49 1.7994728558292550e+49 0.0000 95!!! 1.1302472320561372e+50 1.1302472320561372e+50 0.0000 96!!! 4.8758675314761574e+50 4.8758675314761574e+50 0.0000 97!!! 1.7454886701543774e+51 1.7454886701543774e+51 0.0000 98!!! 1.1076422874150144e+52 1.1076422874150145e+52 -0.5405 99!!! 4.8271088561613960e+52 4.8271088561613960e+52 0.0000 100!!! 1.7454886701543774e+53 1.7454886701543774e+53 0.0000 101!!! 1.1187187102891645e+54 1.1187187102891645e+54 0.0000 102!!! 4.9236510332846242e+54 4.9236510332846242e+54 0.0000 103!!! 1.7978533302590087e+55 1.7978533302590087e+55 0.0000 104!!! 1.1634674587007312e+56 1.1634674587007312e+56 0.0000 105!!! 5.1698335849488556e+56 5.1698335849488556e+56 0.0000 106!!! 1.9057245300745493e+57 1.9057245300745493e+57 0.0000 107!!! 1.2449101808097823e+58 1.2449101808097825e+58 -0.5042 108!!! 5.5834202717447640e+58 5.5834202717447640e+58 0.0000 109!!! 2.0772397377812589e+59 2.0772397377812589e+59 0.0000 110!!! 1.3694011988907606e+60 1.3694011988907606e+60 0.0000 111!!! 6.1975965016366876e+60 6.1975965016366883e+60 -0.5186 112!!! 2.3265085063150098e+61 2.3265085063150098e+61 0.0000 113!!! 1.5474233547465595e+62 1.5474233547465595e+62 0.0000 114!!! 7.0652600118658241e+62 7.0652600118658241e+62 0.0000 115!!! 2.6754847822622611e+63 2.6754847822622611e+63 0.0000 116!!! 1.7950110915060089e+64 1.7950110915060089e+64 0.0000 117!!! 8.2663542138830142e+64 8.2663542138830142e+64 0.0000 118!!! 3.1570720430694680e+65 3.1570720430694680e+65 0.0000 119!!! 2.1360631988921506e+66 2.1360631988921506e+66 0.0000 120!!! 9.9196250566596166e+66 9.9196250566596166e+66 0.0000 121!!! 3.8200571721140563e+67 3.8200571721140563e+67 0.0000 122!!! 2.6059971026484237e+68 2.6059971026484237e+68 0.0000 123!!! 1.2201138819691329e+69 1.2201138819691329e+69 0.0000 124!!! 4.7368708934214300e+69 4.7368708934214300e+69 0.0000 125!!! 3.2574963783105298e+70 3.2574963783105298e+70 0.0000 126!!! 1.5373434912811074e+71 1.5373434912811074e+71 0.0000 127!!! 6.0158260346452161e+71 6.0158260346452161e+71 0.0000 128!!! 4.1695953642374781e+72 4.1695953642374781e+72 0.0000 129!!! 1.9831731037526285e+73 1.9831731037526285e+73 0.0000 130!!! 7.8205738450387808e+73 7.8205738450387808e+73 0.0000 131!!! 5.4621699271510960e+74 5.4621699271510960e+74 0.0000 132!!! 2.6177884969534698e+75 2.6177884969534694e+75 0.6911 133!!! 1.0401363213901579e+76 1.0401363213901579e+76 0.0000 134!!! 7.3193077023824685e+76 7.3193077023824685e+76 0.0000 135!!! 3.5340144708871841e+77 3.5340144708871841e+77 0.0000 136!!! 1.4145853970906148e+78 1.4145853970906146e+78 0.6548 137!!! 1.0027451552263982e+79 1.0027451552263982e+79 0.0000 138!!! 4.8769399698243143e+79 4.8769399698243143e+79 0.0000 139!!! 1.9662737019559545e+80 1.9662737019559545e+80 0.0000 140!!! 1.4038432173169576e+81 1.4038432173169574e+81 0.6757 141!!! 6.8764853574522831e+81 6.8764853574522831e+81 0.0000 142!!! 2.7921086567774552e+82 2.7921086567774555e+82 -0.5436 143!!! 2.0074958007632492e+83 2.0074958007632494e+83 -0.6048 144!!! 9.9021389147312877e+83 9.9021389147312877e+83 0.0000 145!!! 4.0485575523273101e+84 4.0485575523273101e+84 0.0000 146!!! 2.9309438691143438e+85 2.9309438691143438e+85 0.0000 147!!! 1.4556144204654991e+86 1.4556144204654994e+86 -0.8541 148!!! 5.9918651774444188e+86 5.9918651774444188e+86 0.0000 149!!! 4.3671063649803721e+87 4.3671063649803721e+87 0.0000 150!!! 2.1834216306982489e+88 2.1834216306982486e+88 0.7289 151!!! 9.0477164179410725e+88 9.0477164179410725e+88 0.0000 152!!! 6.6380016747701657e+89 6.6380016747701657e+89 0.0000 153!!! 3.3406350949683208e+90 3.3406350949683208e+90 0.0000 154!!! 1.3933483283629252e+91 1.3933483283629252e+91 0.0000 155!!! 1.0288902595893758e+92 1.0288902595893756e+92 0.6335 156!!! 5.2113907481505804e+92 5.2113907481505804e+92 0.0000 157!!! 2.1875568755297927e+93 2.1875568755297923e+93 0.9535 158!!! 1.6256466101512137e+94 1.6256466101512137e+94 0.0000 159!!! 8.2861112895594225e+94 8.2861112895594225e+94 0.0000 160!!! 3.5000910008476681e+95 3.5000910008476681e+95 0.0000 161!!! 2.6172910423434542e+96 2.6172910423434542e+96 0.0000 162!!! 1.3423500289086265e+97 1.3423500289086265e+97 0.0000 163!!! 5.7051483313816991e+97 5.7051483313816991e+97 0.0000 164!!! 4.2923573094432649e+98 4.2923573094432649e+98 0.0000 165!!! 2.2148775476992339e+99 2.2148775476992339e+99 0.0000 166!!! 9.4705462300936213e+99 9.4705462300936213e+99 0.0000 167!!! 7.1682367067702519e+100 7.1682367067702519e+100 0.0000 168!!! 3.7209942801347123e+101 3.7209942801347129e+101 -0.7524 169!!! 1.6005223128858218e+102 1.6005223128858221e+102 -0.6997 170!!! 1.2186002401509428e+103 1.2186002401509428e+103 0.0000 171!!! 6.3629002190303586e+103 6.3629002190303578e+103 0.5632 172!!! 2.7528983781636135e+104 2.7528983781636135e+104 0.0000 173!!! 2.1081784154611310e+105 2.1081784154611310e+105 0.0000 174!!! 1.1071446381112825e+106 1.1071446381112825e+106 0.0000 175!!! 4.8175721617863238e+106 4.8175721617863238e+106 0.0000 176!!! 3.7103940112115908e+107 3.7103940112115908e+107 0.0000 177!!! 1.9596460094569699e+108 1.9596460094569699e+108 0.0000 178!!! 8.5752784479796562e+108 8.5752784479796562e+108 0.0000 179!!! 6.6416052800687475e+109 6.6416052800687475e+109 0.0000 180!!! 3.5273628170225457e+110 3.5273628170225457e+110 0.0000 181!!! 1.5521253990843178e+111 1.5521253990843178e+111 0.0000 182!!! 1.2087721609725120e+112 1.2087721609725120e+112 0.0000 183!!! 6.4550739551512588e+112 6.4550739551512588e+112 0.0000 184!!! 2.8559107343151448e+113 2.8559107343151448e+113 0.0000 185!!! 2.2362284977991472e+114 2.2362284977991472e+114 0.0000 186!!! 1.2006437556581340e+115 1.2006437556581342e+115 -0.8204 187!!! 5.3405530731693203e+115 5.3405530731693211e+115 -0.7378 188!!! 4.2041095758623971e+116 4.2041095758623964e+116 0.7498 189!!! 2.2692166981938735e+117 2.2692166981938732e+117 0.5556 190!!! 1.0147050839021710e+118 1.0147050839021708e+118 0.9941 191!!! 8.0298492898971777e+118 8.0298492898971786e+118 -0.5025 192!!! 4.3568960605322371e+119 4.3568960605322371e+119 0.0000 193!!! 1.9583808119311899e+120 1.9583808119311902e+120 -0.6593 194!!! 1.5577907622400525e+121 1.5577907622400525e+121 0.0000 195!!! 8.4959473180378620e+121 8.4959473180378620e+121 0.0000 196!!! 3.8384263913851320e+122 3.8384263913851320e+122 0.0000 197!!! 3.0688478016129032e+123 3.0688478016129032e+123 0.0000 198!!! 1.6821975689714967e+124 1.6821975689714967e+124 0.0000 199!!! 7.6384685188564129e+124 7.6384685188564129e+124 0.0000 200!!! 6.1376956032258068e+125 6.1376956032258068e+125 0.0000 201!!! 3.3812171136327081e+126 3.3812171136327081e+126 0.0000 202!!! 1.5429706408089955e+127 1.5429706408089955e+127 0.0000 203!!! 1.2459522074548387e+128 1.2459522074548387e+128 0.0000 204!!! 6.8976829118107247e+128 6.8976829118107247e+128 0.0000 205!!! 3.1630898136584406e+129 3.1630898136584406e+129 0.0000 206!!! 2.5666615473569678e+130 2.5666615473569678e+130 0.0000 207!!! 1.4278203627448201e+131 1.4278203627448201e+131 0.0000 208!!! 6.5792268124095565e+131 6.5792268124095565e+131 0.0000 209!!! 5.3643226339760632e+132 5.3643226339760626e+132 0.5293 210!!! 2.9984227617641220e+133 2.9984227617641225e+133 -0.7575 211!!! 1.3882168574184164e+134 1.3882168574184164e+134 0.0000 212!!! 1.1372363984029253e+135 1.1372363984029253e+135 0.0000 213!!! 6.3866404825575806e+135 6.3866404825575793e+135 0.9104 214!!! 2.9707840748754114e+136 2.9707840748754109e+136 0.7829 215!!! 2.4450582565662894e+137 2.4450582565662894e+137 0.0000 216!!! 1.3795143442324374e+138 1.3795143442324374e+138 0.0000 217!!! 6.4466014424796426e+138 6.4466014424796426e+138 0.0000 218!!! 5.3302269993145114e+139 5.3302269993145114e+139 0.0000 219!!! 3.0211364138690378e+140 3.0211364138690378e+140 0.0000 220!!! 1.4182523173455212e+141 1.4182523173455214e+141 -0.5374 221!!! 1.1779801668485070e+142 1.1779801668485070e+142 0.0000 222!!! 6.7069228387892638e+142 6.7069228387892638e+142 0.0000 223!!! 3.1627026676805123e+143 3.1627026676805123e+143 0.0000 224!!! 2.6386755737406557e+144 2.6386755737406557e+144 0.0000 225!!! 1.5090576387275843e+145 1.5090576387275843e+145 0.0000 226!!! 7.1477080289579581e+145 7.1477080289579581e+145 0.0000 227!!! 5.9897935523912883e+146 5.9897935523912883e+146 0.0000 228!!! 3.4406514162988927e+147 3.4406514162988920e+147 0.9291 229!!! 1.6368251386313725e+148 1.6368251386313725e+148 0.0000 230!!! 1.3776525170499963e+149 1.3776525170499963e+149 0.0000 231!!! 7.9479047716504414e+149 7.9479047716504423e+149 -0.5148 232!!! 3.7974343216247843e+150 3.7974343216247843e+150 0.0000 233!!! 3.2099303647264913e+151 3.2099303647264913e+151 0.0000 234!!! 1.8598097165662032e+152 1.8598097165662032e+152 0.0000 235!!! 8.9239706558182425e+152 8.9239706558182425e+152 0.0000 236!!! 7.5754356607545197e+153 7.5754356607545197e+153 0.0000 237!!! 4.4077490282619020e+154 4.4077490282619014e+154 0.6084 238!!! 2.1239050160847416e+155 2.1239050160847416e+155 0.0000 239!!! 1.8105291229203302e+156 1.8105291229203302e+156 0.0000 240!!! 1.0578597667828564e+157 1.0578597667828564e+157 0.0000 241!!! 5.1186110887642277e+157 5.1186110887642271e+157 0.5365 242!!! 4.3814804774671988e+158 4.3814804774671993e+158 -0.5014 243!!! 2.5705992332823411e+159 2.5705992332823411e+159 0.0000 244!!! 1.2489411056584715e+160 1.2489411056584716e+160 -0.5628 245!!! 1.0734627169794638e+161 1.0734627169794637e+161 0.5239 246!!! 6.3236741138745589e+161 6.3236741138745589e+161 0.0000 247!!! 3.0848845309764246e+162 3.0848845309764246e+162 0.0000 248!!! 2.6621875381090700e+163 2.6621875381090704e+163 -0.5408 249!!! 1.5745948543547652e+164 1.5745948543547652e+164 0.0000 250!!! 7.7122113274410618e+164 7.7122113274410618e+164 0.0000 251!!! 6.6820907206537664e+165 6.6820907206537656e+165 0.5516 252!!! 3.9679790329740087e+166 3.9679790329740080e+166 0.7431 253!!! 1.9511894658425886e+167 1.9511894658425886e+167 0.0000 254!!! 1.6972510430460566e+168 1.6972510430460568e+168 -0.5559 255!!! 1.0118346534083722e+169 1.0118346534083722e+169 0.0000 256!!! 4.9950450325570267e+169 4.9950450325570267e+169 0.0000 257!!! 4.3619351806283653e+170 4.3619351806283653e+170 0.0000 258!!! 2.6105334057936002e+171 2.6105334057936002e+171 0.0000 259!!! 1.2937166634322699e+172 1.2937166634322699e+172 0.0000 260!!! 1.1341031469633751e+173 1.1341031469633749e+173 0.5452 261!!! 6.8134921891212961e+173 6.8134921891212961e+173 0.0000 262!!! 3.3895376581925473e+174 3.3895376581925469e+174 0.5838 263!!! 2.9826912765136762e+175 2.9826912765136765e+175 -0.5307 264!!! 1.7987619379280221e+176 1.7987619379280221e+176 0.0000 265!!! 8.9822747942102502e+176 8.9822747942102502e+176 0.0000 266!!! 7.9339587955263791e+177 7.9339587955263782e+177 0.5107 267!!! 4.8026943742678195e+178 4.8026943742678188e+178 0.6750 268!!! 2.4072496448483469e+179 2.4072496448483472e+179 -0.5387 269!!! 2.1342349159965959e+180 2.1342349159965959e+180 0.0000 270!!! 1.2967274810523113e+181 1.2967274810523113e+181 0.0000 271!!! 6.5236465375390203e+181 6.5236465375390203e+181 0.0000 272!!! 5.8051189715107410e+182 5.8051189715107410e+182 0.0000 273!!! 3.5400660232728098e+183 3.5400660232728098e+183 0.0000 274!!! 1.7874791512856916e+184 1.7874791512856916e+184 0.0000 275!!! 1.5964077171654536e+185 1.5964077171654536e+185 0.0000 276!!! 9.7705822242329542e+185 9.7705822242329554e+185 -0.5567 277!!! 4.9513172490613662e+186 4.9513172490613662e+186 0.0000 278!!! 4.4380134537199613e+187 4.4380134537199613e+187 0.0000 279!!! 2.7259924405609943e+188 2.7259924405609943e+188 0.0000 280!!! 1.3863688297371824e+189 1.3863688297371826e+189 -0.8034 281!!! 1.2470817804953091e+190 1.2470817804953091e+190 0.0000 282!!! 7.6872986823820044e+190 7.6872986823820044e+190 0.0000 283!!! 3.9234237881562261e+191 3.9234237881562261e+191 0.0000 284!!! 3.5417122566066778e+192 3.5417122566066778e+192 0.0000 285!!! 2.1908801244788711e+193 2.1908801244788711e+193 0.0000 286!!! 1.1220992034126808e+194 1.1220992034126806e+194 0.6506 287!!! 1.0164714176461165e+195 1.0164714176461165e+195 0.0000 288!!! 6.3097347584991487e+195 6.3097347584991487e+195 0.0000 289!!! 3.2428666978626472e+196 3.2428666978626476e+196 -0.5763 290!!! 2.9477671111737382e+197 2.9477671111737379e+197 0.5072 291!!! 1.8361328147232523e+198 1.8361328147232523e+198 0.0000 292!!! 9.4691707577589304e+198 9.4691707577589294e+198 0.5052 293!!! 8.6369576357390532e+199 8.6369576357390532e+199 0.0000 294!!! 5.3982304752863620e+200 5.3982304752863620e+200 0.0000 295!!! 2.7934053735388844e+201 2.7934053735388844e+201 0.0000 296!!! 2.5565394601787597e+202 2.5565394601787597e+202 0.0000 297!!! 1.6032744511600493e+203 1.6032744511600497e+203 -0.9778 298!!! 8.3243480131458760e+203 8.3243480131458760e+203 0.0000 299!!! 7.6440529859344911e+204 7.6440529859344911e+204 0.0000 300!!! 4.8098233534801485e+205 4.8098233534801476e+205 0.8344 301!!! 2.5056287519569083e+206 2.5056287519569087e+206 -0.6407 302!!! 2.3085040017522164e+207 2.3085040017522164e+207 0.0000 303!!! 1.4573764761044849e+208 1.4573764761044849e+208 0.0000 304!!! 7.6171114059490021e+208 7.6171114059490012e+208 0.5395 305!!! 7.0409372053442597e+209 7.0409372053442597e+209 0.0000 306!!! 4.4595720168797241e+210 4.4595720168797235e+210 0.5898 307!!! 2.3384532016263436e+211 2.3384532016263436e+211 0.0000 308!!! 2.1686086592460320e+212 2.1686086592460320e+212 0.0000 309!!! 1.3780077532158346e+213 1.3780077532158349e+213 -0.9772 310!!! 7.2492049250416654e+213 7.2492049250416654e+213 0.0000 311!!! 6.7443729302551597e+214 6.7443729302551597e+214 0.0000 312!!! 4.2993841900334043e+215 4.2993841900334036e+215 0.8018 313!!! 2.2690011415380410e+216 2.2690011415380414e+216 -0.6077 314!!! 2.1177331001001202e+217 2.1177331001001202e+217 0.0000 315!!! 1.3543060198605223e+218 1.3543060198605223e+218 0.0000 316!!! 7.1700436072602104e+218 7.1700436072602104e+218 0.0000 317!!! 6.7132139273173812e+219 6.7132139273173812e+219 0.0000 318!!! 4.3066931431564608e+220 4.3066931431564608e+220 0.0000 319!!! 2.2872439107160069e+221 2.2872439107160069e+221 0.0000 320!!! 2.1482284567415618e+222 2.1482284567415622e+222 -0.6731 321!!! 1.3824484989532241e+223 1.3824484989532239e+223 0.8367 322!!! 7.3649253925055430e+223 7.3649253925055419e+223 0.6282 323!!! 6.9387779152752444e+224 6.9387779152752444e+224 0.0000 324!!! 4.4791331366084459e+225 4.4791331366084459e+225 0.0000 325!!! 2.3936007525643014e+226 2.3936007525643014e+226 0.0000 326!!! 2.2620416003797297e+227 2.2620416003797297e+227 0.0000 327!!! 1.4646765356709617e+228 1.4646765356709619e+228 -0.5176 328!!! 7.8510104684109076e+228 7.8510104684109090e+228 -0.7725 329!!! 7.4421168652493113e+229 7.4421168652493113e+229 0.0000 330!!! 4.8334325677141737e+230 4.8334325677141737e+230 0.0000 331!!! 2.5986844650440108e+231 2.5986844650440104e+231 0.5974 332!!! 2.4707827992627712e+232 2.4707827992627715e+232 -0.5027 333!!! 1.6095330450488199e+233 1.6095330450488199e+233 0.0000 334!!! 8.6796061132469955e+233 8.6796061132469955e+233 0.0000 335!!! 8.2771223775302832e+234 8.2771223775302832e+234 0.0000 336!!! 5.4080310313640343e+235 5.4080310313640343e+235 0.0000 337!!! 2.9250272601642375e+236 2.9250272601642375e+236 0.0000 338!!! 2.7976673636052360e+237 2.7976673636052356e+237 0.5819 339!!! 1.8333225196324079e+238 1.8333225196324076e+238 0.7104 340!!! 9.9450926845584080e+238 9.9450926845584080e+238 0.0000 341!!! 9.5400457098938550e+239 9.5400457098938550e+239 0.0000 342!!! 6.2699630171428346e+240 6.2699630171428346e+240 0.0000 343!!! 3.4111667908035340e+241 3.4111667908035340e+241 0.0000 344!!! 3.2817757242034859e+242 3.2817757242034859e+242 0.0000 345!!! 2.1631372409142779e+243 2.1631372409142779e+243 0.0000 346!!! 1.1802637096180227e+244 1.1802637096180227e+244 0.0000 347!!! 1.1387761762986096e+245 1.1387761762986096e+245 0.0000 348!!! 7.5277175983816875e+245 7.5277175983816875e+245 0.0000 349!!! 4.1191203465668992e+246 4.1191203465668992e+246 0.0000 350!!! 3.9857166170451338e+247 3.9857166170451338e+247 0.0000 351!!! 2.6422288770319721e+248 2.6422288770319721e+248 0.0000 352!!! 1.4499303619915486e+249 1.4499303619915484e+249 0.6172 353!!! 1.4069579658169321e+250 1.4069579658169323e+250 -0.5089 354!!! 9.3534902246931823e+250 9.3534902246931810e+250 0.6124 355!!! 5.1472527850699972e+251 5.1472527850699972e+251 0.0000 356!!! 5.0087703583082787e+252 5.0087703583082779e+252 0.7319 357!!! 3.3391960102154657e+253 3.3391960102154664e+253 -0.8782 358!!! 1.8427164970550590e+254 1.8427164970550590e+254 0.0000 359!!! 1.7981485586326720e+255 1.7981485586326720e+255 0.0000 360!!! 1.2021105636775677e+256 1.2021105636775677e+256 0.0000 361!!! 6.6522065543687635e+256 6.6522065543687635e+256 0.0000 362!!! 6.5092977822502726e+257 6.5092977822502726e+257 0.0000 363!!! 4.3636613461495704e+258 4.3636613461495704e+258 0.0000 364!!! 2.4214031857902297e+259 2.4214031857902301e+259 -0.6350 365!!! 2.3758936905213495e+260 2.3758936905213495e+260 0.0000 366!!! 1.5971000526907430e+261 1.5971000526907428e+261 0.6161 367!!! 8.8865496918501427e+261 8.8865496918501427e+261 0.0000 368!!! 8.7432887811185663e+262 8.7432887811185663e+262 0.0000 369!!! 5.8932991944288418e+263 5.8932991944288418e+263 0.0000 370!!! 3.2880233859845532e+264 3.2880233859845527e+264 0.6129 371!!! 3.2437601377949880e+265 3.2437601377949880e+265 0.0000 372!!! 2.1923073003275291e+266 2.1923073003275291e+266 0.0000 373!!! 1.2264327229722382e+267 1.2264327229722382e+267 0.0000 374!!! 1.2131662915353255e+268 1.2131662915353255e+268 0.0000 375!!! 8.2211523762282331e+268 8.2211523762282345e+268 -0.8033 376!!! 4.6113870383756157e+269 4.6113870383756157e+269 0.0000 377!!! 4.5736369190881771e+270 4.5736369190881771e+270 0.0000 378!!! 3.1075955982142725e+271 3.1075955982142721e+271 0.5440 379!!! 1.7477156875443585e+272 1.7477156875443585e+272 0.0000 380!!! 1.7379820292535074e+273 1.7379820292535074e+273 0.0000 381!!! 1.1839939229196377e+274 1.1839939229196379e+274 -0.7310 382!!! 6.6762739264194494e+274 6.6762739264194494e+274 0.0000 383!!! 6.6564711720409328e+275 6.6564711720409328e+275 0.0000 384!!! 4.5465366640114094e+276 4.5465366640114084e+276 0.9747 385!!! 2.5703654616714878e+277 2.5703654616714882e+277 -0.6897 386!!! 2.5693978724078002e+278 2.5693978724078002e+278 0.0000 387!!! 1.7595096889724154e+279 1.7595096889724154e+279 0.0000 388!!! 9.9730179912853730e+279 9.9730179912853730e+279 0.0000 389!!! 9.9949577236663423e+280 9.9949577236663423e+280 0.0000 390!!! 6.8620877869924193e+281 6.8620877869924193e+281 0.0000 391!!! 3.8994500345925810e+282 3.8994500345925810e+282 0.0000 392!!! 3.9180234276772064e+283 3.9180234276772064e+283 0.0000 393!!! 2.6968005002880209e+284 2.6968005002880209e+284 0.0000 394!!! 1.5363833136294767e+285 1.5363833136294770e+285 -0.7743 395!!! 1.5476192539324964e+286 1.5476192539324966e+286 -0.6149 396!!! 1.0679329981140563e+287 1.0679329981140563e+287 0.0000 397!!! 6.0994417551090225e+287 6.0994417551090225e+287 0.0000 398!!! 6.1595246306513361e+288 6.1595246306513361e+288 0.0000 399!!! 4.2610526624750849e+289 4.2610526624750849e+289 0.0000 400!!! 2.4397767020436093e+290 2.4397767020436090e+290 0.6391 401!!! 2.4699693768911857e+291 2.4699693768911857e+291 0.0000 402!!! 1.7129431703149840e+292 1.7129431703149842e+292 -0.5826 403!!! 9.8323001092357452e+292 9.8323001092357452e+292 0.0000 404!!! 9.9786762826403907e+293 9.9786762826403907e+293 0.0000 405!!! 6.9374198397756855e+294 6.9374198397756855e+294 0.0000 406!!! 3.9919138443497126e+295 3.9919138443497126e+295 0.0000 407!!! 4.0613212470346388e+296 4.0613212470346388e+296 0.0000 408!!! 2.8304672946284794e+297 2.8304672946284800e+297 -0.9242 409!!! 1.6326927623390324e+298 1.6326927623390324e+298 0.0000 410!!! 1.6651417112842020e+299 1.6651417112842020e+299 0.0000 411!!! 1.1633220580923051e+300 1.1633220580923051e+300 0.0000 412!!! 6.7266941808368135e+300 6.7266941808368135e+300 0.0000 413!!! 6.8770352676037545e+301 6.8770352676037545e+301 0.0000 414!!! 4.8161533205021428e+302 4.8161533205021428e+302 0.0000 415!!! 2.7915780850472778e+303 2.7915780850472778e+303 0.0000 416!!! 2.8608466713231619e+304 2.8608466713231619e+304 0.0000 417!!! 2.0083359346493935e+305 2.0083359346493935e+305 0.0000 418!!! 1.1668796395497620e+306 1.1668796395497622e+306 -0.6018 419!!! 1.1986947552844048e+307 1.1986947552844048e+307 0.0000 Test xTriple_Factorial() Exceptional values: Argument <= -3, return 0, Argument > Double_Factorial_Max_Arg() return DBL_MAX (-3)!!! 0.0000000000000000e+00 (420)!!! 1.7976931348623157e+308 (421)!!! 1.7976931348623157e+308 xTriple Factorials n!!! xTriple_Factorial(n) n*xTriple_Factorial(n-3) Relative Error / DBL_EPSILON -2!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 -1!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 0!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 1!!! 1.0000000000000000e+00 1.0000000000000000e+00 0.0000 2!!! 2.0000000000000000e+00 2.0000000000000000e+00 0.0000 3!!! 3.0000000000000000e+00 3.0000000000000000e+00 0.0000 4!!! 4.0000000000000000e+00 4.0000000000000000e+00 0.0000 5!!! 1.0000000000000000e+01 1.0000000000000000e+01 0.0000 6!!! 1.8000000000000000e+01 1.8000000000000000e+01 0.0000 7!!! 2.8000000000000000e+01 2.8000000000000000e+01 0.0000 8!!! 8.0000000000000000e+01 8.0000000000000000e+01 0.0000 9!!! 1.6200000000000000e+02 1.6200000000000000e+02 0.0000 10!!! 2.8000000000000000e+02 2.8000000000000000e+02 0.0000 11!!! 8.8000000000000000e+02 8.8000000000000000e+02 0.0000 12!!! 1.9440000000000000e+03 1.9440000000000000e+03 0.0000 13!!! 3.6400000000000000e+03 3.6400000000000000e+03 0.0000 14!!! 1.2320000000000000e+04 1.2320000000000000e+04 0.0000 15!!! 2.9160000000000000e+04 2.9160000000000000e+04 0.0000 16!!! 5.8240000000000000e+04 5.8240000000000000e+04 0.0000 17!!! 2.0944000000000000e+05 2.0944000000000000e+05 0.0000 18!!! 5.2488000000000000e+05 5.2488000000000000e+05 0.0000 19!!! 1.1065600000000000e+06 1.1065600000000000e+06 0.0000 20!!! 4.1888000000000000e+06 4.1888000000000000e+06 0.0000 21!!! 1.1022480000000000e+07 1.1022480000000000e+07 0.0000 22!!! 2.4344320000000000e+07 2.4344320000000000e+07 0.0000 23!!! 9.6342400000000000e+07 9.6342400000000000e+07 0.0000 24!!! 2.6453952000000000e+08 2.6453952000000000e+08 0.0000 25!!! 6.0860800000000000e+08 6.0860800000000000e+08 0.0000 26!!! 2.5049024000000000e+09 2.5049024000000000e+09 0.0000 27!!! 7.1425670400000000e+09 7.1425670400000000e+09 0.0000 28!!! 1.7041024000000000e+10 1.7041024000000000e+10 0.0000 29!!! 7.2642169600000000e+10 7.2642169600000000e+10 0.0000 30!!! 2.1427701120000000e+11 2.1427701120000000e+11 0.0000 31!!! 5.2827174400000000e+11 5.2827174400000000e+11 0.0000 32!!! 2.3245494272000000e+12 2.3245494272000000e+12 0.0000 33!!! 7.0711413696000000e+12 7.0711413696000000e+12 0.0000 34!!! 1.7961239296000000e+13 1.7961239296000000e+13 0.0000 35!!! 8.1359229952000000e+13 8.1359229952000000e+13 0.0000 36!!! 2.5456108930560000e+14 2.5456108930560000e+14 0.0000 37!!! 6.6456585395200000e+14 6.6456585395200000e+14 0.0000 38!!! 3.0916507381760000e+15 3.0916507381760000e+15 0.0000 39!!! 9.9278824829184000e+15 9.9278824829184000e+15 0.0000 40!!! 2.6582634158080000e+16 2.6582634158080000e+16 0.0000 41!!! 1.2675768026521600e+17 1.2675768026521600e+17 0.0000 42!!! 4.1697106428257280e+17 4.1697106428257280e+17 0.0000 43!!! 1.1430532687974400e+18 1.1430532687974400e+18 0.0000 44!!! 5.5773379316695040e+18 5.5773379316695040e+18 0.0000 45!!! 1.8763697892715776e+19 1.8763697892715776e+19 0.0000 46!!! 5.2580450364682240e+19 5.2580450364682240e+19 0.0000 47!!! 2.6213488278846669e+20 2.6213488278846669e+20 0.0000 48!!! 9.0065749885035725e+20 9.0065749885035725e+20 0.0000 49!!! 2.5764420678694298e+21 2.5764420678694298e+21 0.0000 50!!! 1.3106744139423334e+22 1.3106744139423334e+22 0.0000 51!!! 4.5933532441368220e+22 4.5933532441368220e+22 0.0000 52!!! 1.3397498752921035e+23 1.3397498752921035e+23 0.0000 53!!! 6.9465743938943672e+23 6.9465743938943672e+23 0.0000 54!!! 2.4804107518338839e+24 2.4804107518338839e+24 0.0000 55!!! 7.3686243141065691e+24 7.3686243141065691e+24 0.0000 56!!! 3.8900816605808456e+25 3.8900816605808456e+25 0.0000 57!!! 1.4138341285453138e+26 1.4138341285453138e+26 -0.0003 58!!! 4.2738021021818101e+26 4.2738021021818101e+26 0.0000 59!!! 2.2951481797426989e+27 2.2951481797426989e+27 0.0003 60!!! 8.4830047712718828e+27 8.4830047712718828e+27 0.0000 61!!! 2.6070192823309042e+28 2.6070192823309042e+28 0.0000 62!!! 1.4229918714404733e+29 1.4229918714404733e+29 0.0000 63!!! 5.3442930059012862e+29 5.3442930059012862e+29 0.0000 64!!! 1.6684923406917787e+30 1.6684923406917787e+30 0.0000 65!!! 9.2494471643630767e+30 9.2494471643630767e+30 0.0000 66!!! 3.5272333838948489e+31 3.5272333838948489e+31 0.0003 67!!! 1.1178898682634917e+32 1.1178898682634917e+32 0.0000 68!!! 6.2896240717668922e+32 6.2896240717668922e+32 -0.0003 69!!! 2.4337910348874457e+33 2.4337910348874457e+33 -0.0003 70!!! 7.8252290778444419e+33 7.8252290778444419e+33 0.0003 71!!! 4.4656330909544934e+34 4.4656330909544934e+34 0.0000 72!!! 1.7523295451189609e+35 1.7523295451189609e+35 0.0000 73!!! 5.7124172268264426e+35 5.7124172268264426e+35 -0.0003 74!!! 3.3045684873063251e+36 3.3045684873063251e+36 0.0000 75!!! 1.3142471588392207e+37 1.3142471588392207e+37 0.0000 76!!! 4.3414370923880964e+37 4.3414370923880964e+37 0.0000 77!!! 2.5445177352258704e+38 2.5445177352258704e+38 0.0000 78!!! 1.0251127838945921e+39 1.0251127838945921e+39 -0.0003 79!!! 3.4297353029865961e+39 3.4297353029865961e+39 0.0004 80!!! 2.0356141881806963e+40 2.0356141881806963e+40 0.0000 81!!! 8.3034135495461963e+40 8.3034135495461963e+40 0.0000 82!!! 2.8123829484490088e+41 2.8123829484490088e+41 0.0000 83!!! 1.6895597761899779e+42 1.6895597761899779e+42 0.0000 84!!! 6.9748673816188049e+42 6.9748673816188049e+42 0.0000 85!!! 2.3905255061816575e+43 2.3905255061816575e+43 0.0000 86!!! 1.4530214075233810e+44 1.4530214075233810e+44 0.0000 87!!! 6.0681346220083603e+44 6.0681346220083603e+44 0.0000 88!!! 2.1036624454398586e+45 2.1036624454398586e+45 0.0000 89!!! 1.2931890526958091e+46 1.2931890526958091e+46 0.0000 90!!! 5.4613211598075242e+46 5.4613211598075242e+46 0.0000 91!!! 1.9143328253502713e+47 1.9143328253502713e+47 -0.0005 92!!! 1.1897339284801444e+48 1.1897339284801444e+48 0.0000 93!!! 5.0790286786209975e+48 5.0790286786209975e+48 0.0000 94!!! 1.7994728558292550e+49 1.7994728558292550e+49 0.0003 95!!! 1.1302472320561372e+50 1.1302472320561372e+50 0.0000 96!!! 4.8758675314761576e+50 4.8758675314761576e+50 0.0000 97!!! 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