diff options
Diffstat (limited to 'numpy/polynomial/legendre.py')
| -rw-r--r-- | numpy/polynomial/legendre.py | 41 |
1 files changed, 21 insertions, 20 deletions
diff --git a/numpy/polynomial/legendre.py b/numpy/polynomial/legendre.py index e9c24594b..f81bc002c 100644 --- a/numpy/polynomial/legendre.py +++ b/numpy/polynomial/legendre.py @@ -136,10 +136,10 @@ def poly2leg(pol): >>> from numpy import polynomial as P >>> p = P.Polynomial(np.arange(4)) >>> p - Polynomial([ 0., 1., 2., 3.], domain=[-1, 1], window=[-1, 1]) + Polynomial([0., 1., 2., 3.], domain=[-1, 1], window=[-1, 1]) >>> c = P.Legendre(P.legendre.poly2leg(p.coef)) >>> c - Legendre([ 1. , 3.25, 1. , 0.75], domain=[-1, 1], window=[-1, 1]) + Legendre([ 1. , 3.25, 1. , 0.75], domain=[-1, 1], window=[-1, 1]) # may vary """ [pol] = pu.as_series([pol]) @@ -183,12 +183,13 @@ def leg2poly(c): Examples -------- + >>> from numpy import polynomial as P >>> c = P.Legendre(range(4)) >>> c - Legendre([ 0., 1., 2., 3.], [-1., 1.]) + Legendre([0., 1., 2., 3.], domain=[-1, 1], window=[-1, 1]) >>> p = c.convert(kind=P.Polynomial) >>> p - Polynomial([-1. , -3.5, 3. , 7.5], [-1., 1.]) + Polynomial([-1. , -3.5, 3. , 7.5], domain=[-1., 1.], window=[-1., 1.]) >>> P.leg2poly(range(4)) array([-1. , -3.5, 3. , 7.5]) @@ -310,7 +311,7 @@ def legfromroots(roots): array([ 0. , -0.4, 0. , 0.4]) >>> j = complex(0,1) >>> L.legfromroots((-j,j)) # x^2 + 1 relative to the standard basis - array([ 1.33333333+0.j, 0.00000000+0.j, 0.66666667+0.j]) + array([ 1.33333333+0.j, 0.00000000+0.j, 0.66666667+0.j]) # may vary """ if len(roots) == 0: @@ -366,7 +367,7 @@ def legadd(c1, c2): >>> c1 = (1,2,3) >>> c2 = (3,2,1) >>> L.legadd(c1,c2) - array([ 4., 4., 4.]) + array([4., 4., 4.]) """ # c1, c2 are trimmed copies @@ -468,7 +469,7 @@ def legmulx(c): -------- >>> from numpy.polynomial import legendre as L >>> L.legmulx([1,2,3]) - array([ 0.66666667, 2.2, 1.33333333, 1.8]) + array([ 0.66666667, 2.2, 1.33333333, 1.8]) # may vary """ # c is a trimmed copy @@ -525,8 +526,8 @@ def legmul(c1, c2): >>> from numpy.polynomial import legendre as L >>> c1 = (1,2,3) >>> c2 = (3,2) - >>> P.legmul(c1,c2) # multiplication requires "reprojection" - array([ 4.33333333, 10.4 , 11.66666667, 3.6 ]) + >>> L.legmul(c1,c2) # multiplication requires "reprojection" + array([ 4.33333333, 10.4 , 11.66666667, 3.6 ]) # may vary """ # s1, s2 are trimmed copies @@ -597,10 +598,10 @@ def legdiv(c1, c2): >>> c1 = (1,2,3) >>> c2 = (3,2,1) >>> L.legdiv(c1,c2) # quotient "intuitive," remainder not - (array([ 3.]), array([-8., -4.])) + (array([3.]), array([-8., -4.])) >>> c2 = (0,1,2,3) >>> L.legdiv(c2,c1) # neither "intuitive" - (array([-0.07407407, 1.66666667]), array([-1.03703704, -2.51851852])) + (array([-0.07407407, 1.66666667]), array([-1.03703704, -2.51851852])) # may vary """ # c1, c2 are trimmed copies @@ -729,7 +730,7 @@ def legder(c, m=1, scl=1, axis=0): >>> L.legder(c) array([ 6., 9., 20.]) >>> L.legder(c, 3) - array([ 60.]) + array([60.]) >>> L.legder(c, scl=-1) array([ -6., -9., -20.]) >>> L.legder(c, 2,-1) @@ -845,16 +846,16 @@ def legint(c, m=1, k=[], lbnd=0, scl=1, axis=0): >>> from numpy.polynomial import legendre as L >>> c = (1,2,3) >>> L.legint(c) - array([ 0.33333333, 0.4 , 0.66666667, 0.6 ]) + array([ 0.33333333, 0.4 , 0.66666667, 0.6 ]) # may vary >>> L.legint(c, 3) - array([ 1.66666667e-02, -1.78571429e-02, 4.76190476e-02, - -1.73472348e-18, 1.90476190e-02, 9.52380952e-03]) + array([ 1.66666667e-02, -1.78571429e-02, 4.76190476e-02, # may vary + -1.73472348e-18, 1.90476190e-02, 9.52380952e-03]) >>> L.legint(c, k=3) - array([ 3.33333333, 0.4 , 0.66666667, 0.6 ]) + array([ 3.33333333, 0.4 , 0.66666667, 0.6 ]) # may vary >>> L.legint(c, lbnd=-2) - array([ 7.33333333, 0.4 , 0.66666667, 0.6 ]) + array([ 7.33333333, 0.4 , 0.66666667, 0.6 ]) # may vary >>> L.legint(c, scl=2) - array([ 0.66666667, 0.8 , 1.33333333, 1.2 ]) + array([ 0.66666667, 0.8 , 1.33333333, 1.2 ]) # may vary """ c = np.array(c, ndmin=1, copy=1) @@ -1476,7 +1477,7 @@ def legfit(x, y, deg, rcond=None, full=False, w=None): warnings can be turned off by >>> import warnings - >>> warnings.simplefilter('ignore', RankWarning) + >>> warnings.simplefilter('ignore', np.RankWarning) See Also -------- @@ -1686,7 +1687,7 @@ def legroots(c): -------- >>> import numpy.polynomial.legendre as leg >>> leg.legroots((1, 2, 3, 4)) # 4L_3 + 3L_2 + 2L_1 + 1L_0, all real roots - array([-0.85099543, -0.11407192, 0.51506735]) + array([-0.85099543, -0.11407192, 0.51506735]) # may vary """ # c is a trimmed copy |