Coverage for /usr/lib/python3/dist-packages/mpmath/__init__.py: 94%
412 statements
« prev ^ index » next coverage.py v7.9.1, created at 2025-06-14 15:55 +0200
1__version__ = '1.2.1'
3from .usertools import monitor, timing
5from .ctx_fp import FPContext
6from .ctx_mp import MPContext
7from .ctx_iv import MPIntervalContext
9fp = FPContext()
10mp = MPContext()
11iv = MPIntervalContext()
13fp._mp = mp
14mp._mp = mp
15iv._mp = mp
16mp._fp = fp
17fp._fp = fp
18mp._iv = iv
19fp._iv = iv
20iv._iv = iv
22# XXX: extremely bad pickle hack
23from . import ctx_mp as _ctx_mp
24_ctx_mp._mpf_module.mpf = mp.mpf
25_ctx_mp._mpf_module.mpc = mp.mpc
27make_mpf = mp.make_mpf
28make_mpc = mp.make_mpc
30extraprec = mp.extraprec
31extradps = mp.extradps
32workprec = mp.workprec
33workdps = mp.workdps
34autoprec = mp.autoprec
35maxcalls = mp.maxcalls
36memoize = mp.memoize
38mag = mp.mag
40bernfrac = mp.bernfrac
42qfrom = mp.qfrom
43mfrom = mp.mfrom
44kfrom = mp.kfrom
45taufrom = mp.taufrom
46qbarfrom = mp.qbarfrom
47ellipfun = mp.ellipfun
48jtheta = mp.jtheta
49kleinj = mp.kleinj
50eta = mp.eta
52qp = mp.qp
53qhyper = mp.qhyper
54qgamma = mp.qgamma
55qfac = mp.qfac
57nint_distance = mp.nint_distance
59plot = mp.plot
60cplot = mp.cplot
61splot = mp.splot
63odefun = mp.odefun
65jacobian = mp.jacobian
66findroot = mp.findroot
67multiplicity = mp.multiplicity
69isinf = mp.isinf
70isnan = mp.isnan
71isnormal = mp.isnormal
72isint = mp.isint
73isfinite = mp.isfinite
74almosteq = mp.almosteq
75nan = mp.nan
76rand = mp.rand
78absmin = mp.absmin
79absmax = mp.absmax
81fraction = mp.fraction
83linspace = mp.linspace
84arange = mp.arange
86mpmathify = convert = mp.convert
87mpc = mp.mpc
89mpi = iv._mpi
91nstr = mp.nstr
92nprint = mp.nprint
93chop = mp.chop
95fneg = mp.fneg
96fadd = mp.fadd
97fsub = mp.fsub
98fmul = mp.fmul
99fdiv = mp.fdiv
100fprod = mp.fprod
102quad = mp.quad
103quadgl = mp.quadgl
104quadts = mp.quadts
105quadosc = mp.quadosc
107invertlaplace = mp.invertlaplace
108invlaptalbot = mp.invlaptalbot
109invlapstehfest = mp.invlapstehfest
110invlapdehoog = mp.invlapdehoog
112pslq = mp.pslq
113identify = mp.identify
114findpoly = mp.findpoly
116richardson = mp.richardson
117shanks = mp.shanks
118levin = mp.levin
119cohen_alt = mp.cohen_alt
120nsum = mp.nsum
121nprod = mp.nprod
122difference = mp.difference
123diff = mp.diff
124diffs = mp.diffs
125diffs_prod = mp.diffs_prod
126diffs_exp = mp.diffs_exp
127diffun = mp.diffun
128differint = mp.differint
129taylor = mp.taylor
130pade = mp.pade
131polyval = mp.polyval
132polyroots = mp.polyroots
133fourier = mp.fourier
134fourierval = mp.fourierval
135sumem = mp.sumem
136sumap = mp.sumap
137chebyfit = mp.chebyfit
138limit = mp.limit
140matrix = mp.matrix
141eye = mp.eye
142diag = mp.diag
143zeros = mp.zeros
144ones = mp.ones
145hilbert = mp.hilbert
146randmatrix = mp.randmatrix
147swap_row = mp.swap_row
148extend = mp.extend
149norm = mp.norm
150mnorm = mp.mnorm
152lu_solve = mp.lu_solve
153lu = mp.lu
154qr = mp.qr
155unitvector = mp.unitvector
156inverse = mp.inverse
157residual = mp.residual
158qr_solve = mp.qr_solve
159cholesky = mp.cholesky
160cholesky_solve = mp.cholesky_solve
161det = mp.det
162cond = mp.cond
163hessenberg = mp.hessenberg
164schur = mp.schur
165eig = mp.eig
166eig_sort = mp.eig_sort
167eigsy = mp.eigsy
168eighe = mp.eighe
169eigh = mp.eigh
170svd_r = mp.svd_r
171svd_c = mp.svd_c
172svd = mp.svd
173gauss_quadrature = mp.gauss_quadrature
175expm = mp.expm
176sqrtm = mp.sqrtm
177powm = mp.powm
178logm = mp.logm
179sinm = mp.sinm
180cosm = mp.cosm
182mpf = mp.mpf
183j = mp.j
184exp = mp.exp
185expj = mp.expj
186expjpi = mp.expjpi
187ln = mp.ln
188im = mp.im
189re = mp.re
190inf = mp.inf
191ninf = mp.ninf
192sign = mp.sign
194eps = mp.eps
195pi = mp.pi
196ln2 = mp.ln2
197ln10 = mp.ln10
198phi = mp.phi
199e = mp.e
200euler = mp.euler
201catalan = mp.catalan
202khinchin = mp.khinchin
203glaisher = mp.glaisher
204apery = mp.apery
205degree = mp.degree
206twinprime = mp.twinprime
207mertens = mp.mertens
209ldexp = mp.ldexp
210frexp = mp.frexp
212fsum = mp.fsum
213fdot = mp.fdot
215sqrt = mp.sqrt
216cbrt = mp.cbrt
217exp = mp.exp
218ln = mp.ln
219log = mp.log
220log10 = mp.log10
221power = mp.power
222cos = mp.cos
223sin = mp.sin
224tan = mp.tan
225cosh = mp.cosh
226sinh = mp.sinh
227tanh = mp.tanh
228acos = mp.acos
229asin = mp.asin
230atan = mp.atan
231asinh = mp.asinh
232acosh = mp.acosh
233atanh = mp.atanh
234sec = mp.sec
235csc = mp.csc
236cot = mp.cot
237sech = mp.sech
238csch = mp.csch
239coth = mp.coth
240asec = mp.asec
241acsc = mp.acsc
242acot = mp.acot
243asech = mp.asech
244acsch = mp.acsch
245acoth = mp.acoth
246cospi = mp.cospi
247sinpi = mp.sinpi
248sinc = mp.sinc
249sincpi = mp.sincpi
250cos_sin = mp.cos_sin
251cospi_sinpi = mp.cospi_sinpi
252fabs = mp.fabs
253re = mp.re
254im = mp.im
255conj = mp.conj
256floor = mp.floor
257ceil = mp.ceil
258nint = mp.nint
259frac = mp.frac
260root = mp.root
261nthroot = mp.nthroot
262hypot = mp.hypot
263fmod = mp.fmod
264ldexp = mp.ldexp
265frexp = mp.frexp
266sign = mp.sign
267arg = mp.arg
268phase = mp.phase
269polar = mp.polar
270rect = mp.rect
271degrees = mp.degrees
272radians = mp.radians
273atan2 = mp.atan2
274fib = mp.fib
275fibonacci = mp.fibonacci
276lambertw = mp.lambertw
277zeta = mp.zeta
278altzeta = mp.altzeta
279gamma = mp.gamma
280rgamma = mp.rgamma
281factorial = mp.factorial
282fac = mp.fac
283fac2 = mp.fac2
284beta = mp.beta
285betainc = mp.betainc
286psi = mp.psi
287#psi0 = mp.psi0
288#psi1 = mp.psi1
289#psi2 = mp.psi2
290#psi3 = mp.psi3
291polygamma = mp.polygamma
292digamma = mp.digamma
293#trigamma = mp.trigamma
294#tetragamma = mp.tetragamma
295#pentagamma = mp.pentagamma
296harmonic = mp.harmonic
297bernoulli = mp.bernoulli
298bernfrac = mp.bernfrac
299stieltjes = mp.stieltjes
300hurwitz = mp.hurwitz
301dirichlet = mp.dirichlet
302bernpoly = mp.bernpoly
303eulerpoly = mp.eulerpoly
304eulernum = mp.eulernum
305polylog = mp.polylog
306clsin = mp.clsin
307clcos = mp.clcos
308gammainc = mp.gammainc
309gammaprod = mp.gammaprod
310binomial = mp.binomial
311rf = mp.rf
312ff = mp.ff
313hyper = mp.hyper
314hyp0f1 = mp.hyp0f1
315hyp1f1 = mp.hyp1f1
316hyp1f2 = mp.hyp1f2
317hyp2f1 = mp.hyp2f1
318hyp2f2 = mp.hyp2f2
319hyp2f0 = mp.hyp2f0
320hyp2f3 = mp.hyp2f3
321hyp3f2 = mp.hyp3f2
322hyperu = mp.hyperu
323hypercomb = mp.hypercomb
324meijerg = mp.meijerg
325appellf1 = mp.appellf1
326appellf2 = mp.appellf2
327appellf3 = mp.appellf3
328appellf4 = mp.appellf4
329hyper2d = mp.hyper2d
330bihyper = mp.bihyper
331erf = mp.erf
332erfc = mp.erfc
333erfi = mp.erfi
334erfinv = mp.erfinv
335npdf = mp.npdf
336ncdf = mp.ncdf
337expint = mp.expint
338e1 = mp.e1
339ei = mp.ei
340li = mp.li
341ci = mp.ci
342si = mp.si
343chi = mp.chi
344shi = mp.shi
345fresnels = mp.fresnels
346fresnelc = mp.fresnelc
347airyai = mp.airyai
348airybi = mp.airybi
349airyaizero = mp.airyaizero
350airybizero = mp.airybizero
351scorergi = mp.scorergi
352scorerhi = mp.scorerhi
353ellipk = mp.ellipk
354ellipe = mp.ellipe
355ellipf = mp.ellipf
356ellippi = mp.ellippi
357elliprc = mp.elliprc
358elliprj = mp.elliprj
359elliprf = mp.elliprf
360elliprd = mp.elliprd
361elliprg = mp.elliprg
362agm = mp.agm
363jacobi = mp.jacobi
364chebyt = mp.chebyt
365chebyu = mp.chebyu
366legendre = mp.legendre
367legenp = mp.legenp
368legenq = mp.legenq
369hermite = mp.hermite
370pcfd = mp.pcfd
371pcfu = mp.pcfu
372pcfv = mp.pcfv
373pcfw = mp.pcfw
374gegenbauer = mp.gegenbauer
375laguerre = mp.laguerre
376spherharm = mp.spherharm
377besselj = mp.besselj
378j0 = mp.j0
379j1 = mp.j1
380besseli = mp.besseli
381bessely = mp.bessely
382besselk = mp.besselk
383besseljzero = mp.besseljzero
384besselyzero = mp.besselyzero
385hankel1 = mp.hankel1
386hankel2 = mp.hankel2
387struveh = mp.struveh
388struvel = mp.struvel
389angerj = mp.angerj
390webere = mp.webere
391lommels1 = mp.lommels1
392lommels2 = mp.lommels2
393whitm = mp.whitm
394whitw = mp.whitw
395ber = mp.ber
396bei = mp.bei
397ker = mp.ker
398kei = mp.kei
399coulombc = mp.coulombc
400coulombf = mp.coulombf
401coulombg = mp.coulombg
402barnesg = mp.barnesg
403superfac = mp.superfac
404hyperfac = mp.hyperfac
405loggamma = mp.loggamma
406siegeltheta = mp.siegeltheta
407siegelz = mp.siegelz
408grampoint = mp.grampoint
409zetazero = mp.zetazero
410riemannr = mp.riemannr
411primepi = mp.primepi
412primepi2 = mp.primepi2
413primezeta = mp.primezeta
414bell = mp.bell
415polyexp = mp.polyexp
416expm1 = mp.expm1
417log1p = mp.log1p
418powm1 = mp.powm1
419unitroots = mp.unitroots
420cyclotomic = mp.cyclotomic
421mangoldt = mp.mangoldt
422secondzeta = mp.secondzeta
423nzeros = mp.nzeros
424backlunds = mp.backlunds
425lerchphi = mp.lerchphi
426stirling1 = mp.stirling1
427stirling2 = mp.stirling2
429# be careful when changing this name, don't use test*!
430def runtests():
431 """
432 Run all mpmath tests and print output.
433 """
434 import os.path
435 from inspect import getsourcefile
436 from .tests import runtests as tests
437 testdir = os.path.dirname(os.path.abspath(getsourcefile(tests)))
438 importdir = os.path.abspath(testdir + '/../..')
439 tests.testit(importdir, testdir)
441def doctests(filter=[]):
442 import sys
443 from timeit import default_timer as clock
444 for i, arg in enumerate(sys.argv):
445 if '__init__.py' in arg:
446 filter = [sn for sn in sys.argv[i+1:] if not sn.startswith("-")]
447 break
448 import doctest
449 globs = globals().copy()
450 for obj in globs: #sorted(globs.keys()):
451 if filter:
452 if not sum([pat in obj for pat in filter]):
453 continue
454 sys.stdout.write(str(obj) + " ")
455 sys.stdout.flush()
456 t1 = clock()
457 doctest.run_docstring_examples(globs[obj], {}, verbose=("-v" in sys.argv))
458 t2 = clock()
459 print(round(t2-t1, 3))
461if __name__ == '__main__':
462 doctests()