|
|
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 = [] |
|
|
|
|
|
|
|
|
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]) |
|
|
|
|
|
|
|
|
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) |
|
|
|
