/usr/lib/python3/dist-packages/mpmath/tests/extratest_gamma.py is in python3-mpmath 0.19-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 | from mpmath import *
from mpmath.libmp import ifac
import sys
if "-dps" in sys.argv:
maxdps = int(sys.argv[sys.argv.index("-dps")+1])
else:
maxdps = 1000
raise_ = "-raise" in sys.argv
errcount = 0
def check(name, func, z, y):
global errcount
try:
x = func(z)
except:
errcount += 1
if raise_:
raise
print()
print(name)
print("EXCEPTION")
import traceback
traceback.print_tb(sys.exc_info()[2])
print()
return
xre = x.real
xim = x.imag
yre = y.real
yim = y.imag
tol = eps*8
err = 0
if abs(xre-yre) > abs(yre)*tol:
err = 1
print()
print("Error! %s (re = %s, wanted %s, err=%s)" % (name, nstr(xre,10), nstr(yre,10), nstr(abs(xre-yre))))
errcount += 1
if raise_:
raise SystemExit
if abs(xim-yim) > abs(yim)*tol:
err = 1
print()
print("Error! %s (im = %s, wanted %s, err=%s)" % (name, nstr(xim,10), nstr(yim,10), nstr(abs(xim-yim))))
errcount += 1
if raise_:
raise SystemExit
if not err:
sys.stdout.write("%s ok; " % name)
def testcase(case):
z, result = case
print("Testing z =", z)
mp.dps = 1010
z = eval(z)
mp.dps = maxdps + 50
if result is None:
gamma_val = gamma(z)
loggamma_val = loggamma(z)
factorial_val = factorial(z)
rgamma_val = rgamma(z)
else:
loggamma_val = eval(result)
gamma_val = exp(loggamma_val)
factorial_val = z * gamma_val
rgamma_val = 1/gamma_val
for dps in [5, 10, 15, 25, 40, 60, 90, 120, 250, 600, 1000, 1800, 3600]:
if dps > maxdps:
break
mp.dps = dps
print("dps = %s" % dps)
check("gamma", gamma, z, gamma_val)
check("rgamma", rgamma, z, rgamma_val)
check("loggamma", loggamma, z, loggamma_val)
check("factorial", factorial, z, factorial_val)
print()
mp.dps = 15
testcases = []
# Basic values
for n in list(range(1,200)) + list(range(201,2000,17)):
testcases.append(["%s" % n, None])
for n in range(-200,200):
testcases.append(["%s+0.5" % n, None])
testcases.append(["%s+0.37" % n, None])
testcases += [\
["(0.1+1j)", None],
["(-0.1+1j)", None],
["(0.1-1j)", None],
["(-0.1-1j)", None],
["10j", None],
["-10j", None],
["100j", None],
["10000j", None],
["-10000000j", None],
["(10**100)*j", None],
["125+(10**100)*j", None],
["-125+(10**100)*j", None],
["(10**10)*(1+j)", None],
["(10**10)*(-1+j)", None],
["(10**100)*(1+j)", None],
["(10**100)*(-1+j)", None],
["(1.5-1j)", None],
["(6+4j)", None],
["(4+1j)", None],
["(3.5+2j)", None],
["(1.5-1j)", None],
["(-6-4j)", None],
["(-2-3j)", None],
["(-2.5-2j)", None],
["(4+1j)", None],
["(3+3j)", None],
["(2-2j)", None],
["1", "0"],
["2", "0"],
["3", "log(2)"],
["4", "log(6)"],
["5", "log(24)"],
["0.5", "log(pi)/2"],
["1.5", "log(sqrt(pi)/2)"],
["2.5", "log(3*sqrt(pi)/4)"],
["mpf('0.37')", None],
["0.25", "log(sqrt(2*sqrt(2*pi**3)/agm(1,sqrt(2))))"],
["-0.4", None],
["mpf('-1.9')", None],
["mpf('12.8')", None],
["mpf('33.7')", None],
["mpf('95.2')", None],
["mpf('160.3')", None],
["mpf('2057.8')", None],
["25", "log(ifac(24))"],
["80", "log(ifac(79))"],
["500", "log(ifac(500-1))"],
["8000", "log(ifac(8000-1))"],
["8000.5", None],
["mpf('8000.1')", None],
["mpf('1.37e10')", None],
["mpf('1.37e10')*(1+j)", None],
["mpf('1.37e10')*(-1+j)", None],
["mpf('1.37e10')*(-1-j)", None],
["mpf('1.37e10')*(-1+j)", None],
["mpf('1.37e100')", None],
["mpf('1.37e100')*(1+j)", None],
["mpf('1.37e100')*(-1+j)", None],
["mpf('1.37e100')*(-1-j)", None],
["mpf('1.37e100')*(-1+j)", None],
["3+4j",
"mpc('"
"-1.7566267846037841105306041816232757851567066070613445016197619371316057169"
"4723618263960834804618463052988607348289672535780644470689771115236512106002"
"5970873471563240537307638968509556191696167970488390423963867031934333890838"
"8009531786948197210025029725361069435208930363494971027388382086721660805397"
"9163230643216054580167976201709951509519218635460317367338612500626714783631"
"7498317478048447525674016344322545858832610325861086336204591943822302971823"
"5161814175530618223688296232894588415495615809337292518431903058265147109853"
"1710568942184987827643886816200452860853873815413367529829631430146227470517"
"6579967222200868632179482214312673161276976117132204633283806161971389519137"
"1243359764435612951384238091232760634271570950240717650166551484551654327989"
"9360285030081716934130446150245110557038117075172576825490035434069388648124"
"6678152254554001586736120762641422590778766100376515737713938521275749049949"
"1284143906816424244705094759339932733567910991920631339597278805393743140853"
"391550313363278558195609260225928','"
"4.74266443803465792819488940755002274088830335171164611359052405215840070271"
"5906813009373171139767051863542508136875688550817670379002790304870822775498"
"2809996675877564504192565392367259119610438951593128982646945990372179860613"
"4294436498090428077839141927485901735557543641049637962003652638924845391650"
"9546290137755550107224907606529385248390667634297183361902055842228798984200"
"9591180450211798341715874477629099687609819466457990642030707080894518168924"
"6805549314043258530272479246115112769957368212585759640878745385160943755234"
"9398036774908108204370323896757543121853650025529763655312360354244898913463"
"7115955702828838923393113618205074162812089732064414530813087483533203244056"
"0546577484241423134079056537777170351934430586103623577814746004431994179990"
"5318522939077992613855205801498201930221975721246498720895122345420698451980"
"0051215797310305885845964334761831751370672996984756815410977750799748813563"
"8784405288158432214886648743541773208808731479748217023665577802702269468013"
"673719173759245720489020315779001')"],
]
for z in [4, 14, 34, 64]:
testcases.append(["(2+j)*%s/3" % z, None])
testcases.append(["(-2+j)*%s/3" % z, None])
testcases.append(["(1+2*j)*%s/3" % z, None])
testcases.append(["(2-j)*%s/3" % z, None])
testcases.append(["(20+j)*%s/3" % z, None])
testcases.append(["(-20+j)*%s/3" % z, None])
testcases.append(["(1+20*j)*%s/3" % z, None])
testcases.append(["(20-j)*%s/3" % z, None])
testcases.append(["(200+j)*%s/3" % z, None])
testcases.append(["(-200+j)*%s/3" % z, None])
testcases.append(["(1+200*j)*%s/3" % z, None])
testcases.append(["(200-j)*%s/3" % z, None])
# Poles
for n in [0,1,2,3,4,25,-1,-2,-3,-4,-20,-21,-50,-51,-200,-201,-20000,-20001]:
for t in ['1e-5', '1e-20', '1e-100', '1e-10000']:
testcases.append(["fadd(%s,'%s',exact=True)" % (n, t), None])
testcases.append(["fsub(%s,'%s',exact=True)" % (n, t), None])
testcases.append(["fadd(%s,'%sj',exact=True)" % (n, t), None])
testcases.append(["fsub(%s,'%sj',exact=True)" % (n, t), None])
if __name__ == "__main__":
from timeit import default_timer as clock
tot_time = 0.0
for case in testcases:
t1 = clock()
testcase(case)
t2 = clock()
print("Test time:", t2-t1)
print()
tot_time += (t2-t1)
print("Total time:", tot_time)
print("Errors:", errcount)
|