Merge pull request #433 from skirpichev/fix-more-defun
Fix more broken defun decorators, amend ef75979
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@@ -3,3 +3,4 @@ class CalculusMethods(object):
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def defun(f):
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setattr(CalculusMethods, f.__name__, f)
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return f
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@@ -117,7 +117,7 @@ def polyroots(ctx, coeffs, maxsteps=50, cleanup=True, extraprec=10,
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>>> mp.dps = 60
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>>> for r in polyroots([1, 0, -10, 0, 1]):
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... print r
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... print(r)
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...
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-3.14626436994197234232913506571557044551247712918732870123249
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-0.317837245195782244725757617296174288373133378433432554879127
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@@ -40,6 +40,7 @@ class Eigen(object):
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def defun(f):
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setattr(Eigen, f.__name__, f)
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return f
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def hessenberg_reduce_0(ctx, A, T):
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"""
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@@ -783,16 +783,16 @@ def gauss_quadrature(ctx, n, qtype = "legendre", alpha = 0, beta = 0):
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>>> A = mp.fdot([(f(x), w) for x, w in zip(X, W)])
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>>> B = mp.sqrt(mp.pi) * 57 / 16
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>>> C = mp.quad(lambda x: mp.exp(- x * x) * f(x), [-mp.inf, +mp.inf])
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>>> print mp.chop(A-B, tol = 1e-10), mp.chop(A-C, tol = 1e-10)
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0.0 0.0
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>>> mp.nprint((mp.chop(A-B, tol = 1e-10), mp.chop(A-C, tol = 1e-10)))
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(0.0, 0.0)
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>>> f = lambda x: x**5 - 2 * x**4 + 3 * x**3 - 5 * x**2 + 7 * x - 11
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>>> X, W = mp.gauss_quadrature(3, "laguerre")
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>>> A = mp.fdot([(f(x), w) for x, w in zip(X, W)])
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>>> B = 76
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>>> C = mp.quad(lambda x: mp.exp(-x) * f(x), [0, +mp.inf])
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>>> print mp.chop(A-B, tol = 1e-10), mp.chop(A-C, tol = 1e-10)
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0.0 0.0
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>>> mp.nprint(mp.chop(A-B, tol = 1e-10), mp.chop(A-C, tol = 1e-10))
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.0
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# orthogonality of the chebyshev polynomials:
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>>> f = lambda x: mp.chebyt(3, x) * mp.chebyt(2, x)
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