def _quad_weight(func, a, b, args, full_output, epsabs, epsrel, limlst, limit, maxp1, weight, wvar, wopts):
if weight not in ["cos", "sin", "alg", "alg-loga", "alg-logb", "alg-log", "cauchy"]:
raise ValueError("%s not a recognized weighting function." % weight)
strdict = {"cos": 1, "sin": 2, "alg": 1, "alg-loga": 2, "alg-logb": 3, "alg-log": 4}
if weight in ["cos", "sin"]:
integr = strdict[weight]
if b != Inf and a != -Inf: # finite limits
if wopts is None: # no precomputed chebyshev moments
return _quadpack._qawoe(func, a, b, wvar, integr, args, full_output, epsabs, epsrel, limit, maxp1, 1)
else: # precomputed chebyshev moments
momcom = wopts[0]
chebcom = wopts[1]
return _quadpack._qawoe(
func, a, b, wvar, integr, args, full_output, epsabs, epsrel, limit, maxp1, 2, momcom, chebcom
)
elif b == Inf and a != -Inf:
return _quadpack._qawfe(func, a, wvar, integr, args, full_output, epsabs, limlst, limit, maxp1)
elif b != Inf and a == -Inf: # remap function and interval
if weight == "cos":
def thefunc(x, *myargs):
y = -x
func = myargs[0]
myargs = (y,) + myargs[1:]
return apply(func, myargs)
else:
def thefunc(x, *myargs):
y = -x
func = myargs[0]
myargs = (y,) + myargs[1:]
return -apply(func, myargs)
args = (func,) + args
return _quadpack._qawfe(thefunc, -b, wvar, integr, args, full_output, epsabs, limlst, limit, maxp1)
else:
raise ValueError("Cannot integrate with this weight from -Inf to +Inf.")
else:
if a in [-Inf, Inf] or b in [-Inf, Inf]:
raise ValueError("Cannot integrate with this weight over an infinite interval.")
if weight[:3] == "alg":
integr = strdict[weight]
return _quadpack._qawse(func, a, b, wvar, integr, args, full_output, epsabs, epsrel, limit)
else: # weight == 'cauchy'
return _quadpack._qawce(func, a, b, wvar, args, full_output, epsabs, epsrel, limit)
def _quad_weight(func,a,b,args,full_output,epsabs,epsrel,limlst,limit,maxp1,weight,wvar,wopts):
if weight not in ['cos','sin','alg','alg-loga','alg-logb','alg-log','cauchy']:
raise ValueError("%s not a recognized weighting function." % weight)
strdict = {'cos':1,'sin':2,'alg':1,'alg-loga':2,'alg-logb':3,'alg-log':4}
if weight in ['cos','sin']:
integr = strdict[weight]
if (b != Inf and a != -Inf): # finite limits
if wopts is None: # no precomputed chebyshev moments
return _quadpack._qawoe(func,a,b,wvar,integr,args,full_output,epsabs,epsrel,limit,maxp1,1)
else: # precomputed chebyshev moments
momcom = wopts[0]
chebcom = wopts[1]
return _quadpack._qawoe(func,a,b,wvar,integr,args,full_output,epsabs,epsrel,limit,maxp1,2,momcom,chebcom)
elif (b == Inf and a != -Inf):
return _quadpack._qawfe(func,a,wvar,integr,args,full_output,epsabs,limlst,limit,maxp1)
elif (b != Inf and a == -Inf): # remap function and interval
if weight == 'cos':
def thefunc(x,*myargs):
y = -x
func = myargs[0]
myargs = (y,) + myargs[1:]
return apply(func,myargs)
else:
def thefunc(x,*myargs):
y = -x
func = myargs[0]
myargs = (y,) + myargs[1:]
return -apply(func,myargs)
args = (func,) + args
return _quadpack._qawfe(thefunc,-b,wvar,integr,args,full_output,epsabs,limlst,limit,maxp1)
else:
raise ValueError("Cannot integrate with this weight from -Inf to +Inf.")
else:
if a in [-Inf,Inf] or b in [-Inf,Inf]:
raise ValueError("Cannot integrate with this weight over an infinite interval.")
if weight[:3] == 'alg':
integr = strdict[weight]
return _quadpack._qawse(func,a,b,wvar,integr,args,full_output,epsabs,epsrel,limit)
else: # weight == 'cauchy'
return _quadpack._qawce(func,a,b,wvar,args,full_output,epsabs,epsrel,limit)