diff options
-rw-r--r-- | numpy/polynomial/chebyshev.py | 42 | ||||
-rw-r--r-- | numpy/polynomial/hermite.py | 42 | ||||
-rw-r--r-- | numpy/polynomial/hermite_e.py | 42 | ||||
-rw-r--r-- | numpy/polynomial/laguerre.py | 42 | ||||
-rw-r--r-- | numpy/polynomial/legendre.py | 42 | ||||
-rw-r--r-- | numpy/polynomial/polynomial.py | 46 |
6 files changed, 190 insertions, 66 deletions
diff --git a/numpy/polynomial/chebyshev.py b/numpy/polynomial/chebyshev.py index c4d0161a2..bbf437525 100644 --- a/numpy/polynomial/chebyshev.py +++ b/numpy/polynomial/chebyshev.py @@ -1200,7 +1200,14 @@ def chebval2d(x, y, c): chebval, chebgrid2d, chebval3d, chebgrid3d """ - return chebval(y, chebval(x, c), False) + try: + x, y = np.array((x, y), copy=0) + except: + raise ValueError('x, y are incompatible') + + c = chebval(x, c) + c = chebval(y, c, tensor=False) + return c def chebgrid2d(x, y, c): @@ -1240,7 +1247,9 @@ def chebgrid2d(x, y, c): chebval, chebval2d, chebval3d, chebgrid3d """ - return chebval(y, chebval(x, c)) + c = chebval(x, c) + c = chebval(y, c) + return c def chebval3d(x, y, z, c): @@ -1277,7 +1286,15 @@ def chebval3d(x, y, z, c): chebval, chebval2d, chebgrid2d, chebgrid3d """ - return chebval(z, chebval2d(x, y, c), False) + try: + x, y, z = np.array((x, y, z), copy=0) + except: + raise ValueError('x, y, z are incompatible') + + c = chebval(x, c) + c = chebval(y, c, tensor=False) + c = chebval(z, c, tensor=False) + return c def chebgrid3d(x, y, z, c): @@ -1319,7 +1336,10 @@ def chebgrid3d(x, y, z, c): chebval, chebval2d, chebgrid2d, chebval3d """ - return chebval(z, chebgrid2d(x, y, c)) + c = chebval(x, c) + c = chebval(y, c) + c = chebval(z, c) + return c def chebvander(x, deg) : @@ -1401,12 +1421,12 @@ def chebvander2d(x, y, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy = deg + degx, degy = ideg x, y = np.array((x, y), copy=0) + 0.0 vx = chebvander(x, degx) vy = chebvander(y, degy) - v = np.einsum("...i,...j->...ij", vx, vy) + v = vx[..., None]*vy[..., None, :] return v.reshape(v.shape[:-2] + (-1,)) @@ -1447,13 +1467,13 @@ def chebvander3d(x, y, z, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy, degz = deg + degx, degy, degz = ideg x, y, z = np.array((x, y, z), copy=0) + 0.0 - vx = chebvander(x, deg_x) - vy = chebvander(y, deg_y) - vz = chebvander(z, deg_z) - v = np.einsum("...i,...j,...k->...ijk", vx, vy, vz) + vx = chebvander(x, degx) + vy = chebvander(y, degy) + vz = chebvander(z, degz) + v = vx[..., None, None]*vy[..., None, :, None]*vz[..., None, None, :] return v.reshape(v.shape[:-3] + (-1,)) diff --git a/numpy/polynomial/hermite.py b/numpy/polynomial/hermite.py index 340e6009b..fadd866ee 100644 --- a/numpy/polynomial/hermite.py +++ b/numpy/polynomial/hermite.py @@ -965,7 +965,14 @@ def hermval2d(x, y, c): hermval, hermgrid2d, hermval3d, hermgrid3d """ - return hermval(y, hermval(x, c), False) + try: + x, y = np.array((x, y), copy=0) + except: + raise ValueError('x, y are incompatible') + + c = hermval(x, c) + c = hermval(y, c, tensor=False) + return c def hermgrid2d(x, y, c): @@ -1005,7 +1012,9 @@ def hermgrid2d(x, y, c): hermval, hermval2d, hermval3d, hermgrid3d """ - return hermval(y, hermval(x, c)) + c = hermval(x, c) + c = hermval(y, c) + return c def hermval3d(x, y, z, c): @@ -1042,7 +1051,15 @@ def hermval3d(x, y, z, c): hermval, hermval2d, hermgrid2d, hermgrid3d """ - return hermval(z, hermval2d(x, y, c), False) + try: + x, y, z = np.array((x, y, z), copy=0) + except: + raise ValueError('x, y, z are incompatible') + + c = hermval(x, c) + c = hermval(y, c, tensor=False) + c = hermval(z, c, tensor=False) + return c def hermgrid3d(x, y, z, c): @@ -1084,7 +1101,10 @@ def hermgrid3d(x, y, z, c): hermval, hermval2d, hermgrid2d, hermval3d """ - return hermval(z, hermgrid2d(x, y, c)) + c = hermval(x, c) + c = hermval(y, c) + c = hermval(z, c) + return c def hermvander(x, deg) : @@ -1174,12 +1194,12 @@ def hermvander2d(x, y, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy = deg + degx, degy = ideg x, y = np.array((x, y), copy=0) + 0.0 vx = hermvander(x, degx) vy = hermvander(y, degy) - v = np.einsum("...i,...j->...ij", vx, vy) + v = vx[..., None]*vy[..., None, :] return v.reshape(v.shape[:-2] + (-1,)) @@ -1220,13 +1240,13 @@ def hermvander3d(x, y, z, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy, degz = deg + degx, degy, degz = ideg x, y, z = np.array((x, y, z), copy=0) + 0.0 - vx = hermvander(x, deg_x) - vy = hermvander(y, deg_y) - vz = hermvander(z, deg_z) - v = np.einsum("...i,...j,...k->...ijk", vx, vy, vz) + vx = hermvander(x, degx) + vy = hermvander(y, degy) + vz = hermvander(z, degz) + v = vx[..., None, None]*vy[..., None, :, None]*vz[..., None, None, :] return v.reshape(v.shape[:-3] + (-1,)) diff --git a/numpy/polynomial/hermite_e.py b/numpy/polynomial/hermite_e.py index ab9e397be..97749cca4 100644 --- a/numpy/polynomial/hermite_e.py +++ b/numpy/polynomial/hermite_e.py @@ -962,7 +962,14 @@ def hermeval2d(x, y, c): hermeval, hermegrid2d, hermeval3d, hermegrid3d """ - return hermeval(y, hermeval(x, c), False) + try: + x, y = np.array((x, y), copy=0) + except: + raise ValueError('x, y are incompatible') + + c = hermeval(x, c) + c = hermeval(y, c, tensor=False) + return c def hermegrid2d(x, y, c): @@ -1002,7 +1009,9 @@ def hermegrid2d(x, y, c): hermeval, hermeval2d, hermeval3d, hermegrid3d """ - return hermeval(y, hermeval(x, c)) + c = hermeval(x, c) + c = hermeval(y, c) + return c def hermeval3d(x, y, z, c): @@ -1039,7 +1048,15 @@ def hermeval3d(x, y, z, c): hermeval, hermeval2d, hermegrid2d, hermegrid3d """ - return hermeval(z, hermeval2d(x, y, c), False) + try: + x, y, z = np.array((x, y, z), copy=0) + except: + raise ValueError('x, y, z are incompatible') + + c = hermeval(x, c) + c = hermeval(y, c, tensor=False) + c = hermeval(z, c, tensor=False) + return c def hermegrid3d(x, y, z, c): @@ -1081,7 +1098,10 @@ def hermegrid3d(x, y, z, c): hermeval, hermeval2d, hermegrid2d, hermeval3d """ - return hermeval(z, hermegrid2d(x, y, c)) + c = hermeval(x, c) + c = hermeval(y, c) + c = hermeval(z, c) + return c def hermevander(x, deg) : @@ -1170,12 +1190,12 @@ def hermevander2d(x, y, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy = deg + degx, degy = ideg x, y = np.array((x, y), copy=0) + 0.0 vx = hermevander(x, degx) vy = hermevander(y, degy) - v = np.einsum("...i,...j->...ij", vx, vy) + v = vx[..., None]*vy[..., None, :] return v.reshape(v.shape[:-2] + (-1,)) @@ -1216,13 +1236,13 @@ def hermevander3d(x, y, z, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy, degz = deg + degx, degy, degz = ideg x, y, z = np.array((x, y, z), copy=0) + 0.0 - vx = hermevander(x, deg_x) - vy = hermevander(y, deg_y) - vz = hermevander(z, deg_z) - v = np.einsum("...i,...j,...k->...ijk", vx, vy, vz) + vx = hermevander(x, degx) + vy = hermevander(y, degy) + vz = hermevander(z, degz) + v = vx[..., None, None]*vy[..., None, :, None]*vz[..., None, None, :] return v.reshape(v.shape[:-3] + (-1,)) diff --git a/numpy/polynomial/laguerre.py b/numpy/polynomial/laguerre.py index 07f943bb1..5f9d2d214 100644 --- a/numpy/polynomial/laguerre.py +++ b/numpy/polynomial/laguerre.py @@ -965,7 +965,14 @@ def lagval2d(x, y, c): lagval, laggrid2d, lagval3d, laggrid3d """ - return lagval(y, lagval(x, c), False) + try: + x, y = np.array((x, y), copy=0) + except: + raise ValueError('x, y are incompatible') + + c = lagval(x, c) + c = lagval(y, c, tensor=False) + return c def laggrid2d(x, y, c): @@ -1005,7 +1012,9 @@ def laggrid2d(x, y, c): lagval, lagval2d, lagval3d, laggrid3d """ - return lagval(y, lagval(x, c)) + c = lagval(x, c) + c = lagval(y, c) + return c def lagval3d(x, y, z, c): @@ -1042,7 +1051,15 @@ def lagval3d(x, y, z, c): lagval, lagval2d, laggrid2d, laggrid3d """ - return lagval(z, lagval2d(x, y, c), False) + try: + x, y, z = np.array((x, y, z), copy=0) + except: + raise ValueError('x, y, z are incompatible') + + c = lagval(x, c) + c = lagval(y, c, tensor=False) + c = lagval(z, c, tensor=False) + return c def laggrid3d(x, y, z, c): @@ -1084,7 +1101,10 @@ def laggrid3d(x, y, z, c): lagval, lagval2d, laggrid2d, lagval3d """ - return lagval(z, laggrid2d(x, y, c)) + c = lagval(x, c) + c = lagval(y, c) + c = lagval(z, c) + return c def lagvander(x, deg) : @@ -1173,12 +1193,12 @@ def lagvander2d(x, y, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy = deg + degx, degy = ideg x, y = np.array((x, y), copy=0) + 0.0 vx = lagvander(x, degx) vy = lagvander(y, degy) - v = np.einsum("...i,...j->...ij", vx, vy) + v = vx[..., None]*vy[..., None, :] return v.reshape(v.shape[:-2] + (-1,)) @@ -1219,13 +1239,13 @@ def lagvander3d(x, y, z, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy, degz = deg + degx, degy, degz = ideg x, y, z = np.array((x, y, z), copy=0) + 0.0 - vx = lagvander(x, deg_x) - vy = lagvander(y, deg_y) - vz = lagvander(z, deg_z) - v = np.einsum("...i,...j,...k->...ijk", vx, vy, vz) + vx = lagvander(x, degx) + vy = lagvander(y, degy) + vz = lagvander(z, degz) + v = vx[..., None, None]*vy[..., None, :, None]*vz[..., None, None, :] return v.reshape(v.shape[:-3] + (-1,)) diff --git a/numpy/polynomial/legendre.py b/numpy/polynomial/legendre.py index 8ef439ab4..5f956b112 100644 --- a/numpy/polynomial/legendre.py +++ b/numpy/polynomial/legendre.py @@ -978,7 +978,14 @@ def legval2d(x, y, c): legval, leggrid2d, legval3d, leggrid3d """ - return legval(y, legval(x, c), False) + try: + x, y = np.array((x, y), copy=0) + except: + raise ValueError('x, y are incompatible') + + c = legval(x, c) + c = legval(y, c, tensor=False) + return c def leggrid2d(x, y, c): @@ -1018,7 +1025,9 @@ def leggrid2d(x, y, c): legval, legval2d, legval3d, leggrid3d """ - return legval(y, legval(x, c)) + c = legval(x, c) + c = legval(y, c) + return c def legval3d(x, y, z, c): @@ -1055,7 +1064,15 @@ def legval3d(x, y, z, c): legval, legval2d, leggrid2d, leggrid3d """ - return legval(z, legval2d(x, y, c), False) + try: + x, y, z = np.array((x, y, z), copy=0) + except: + raise ValueError('x, y, z are incompatible') + + c = legval(x, c) + c = legval(y, c, tensor=False) + c = legval(z, c, tensor=False) + return c def leggrid3d(x, y, z, c): @@ -1097,7 +1114,10 @@ def leggrid3d(x, y, z, c): legval, legval2d, leggrid2d, legval3d """ - return legval(z, leggrid2d(x, y, c)) + c = legval(x, c) + c = legval(y, c) + c = legval(z, c) + return c def legvander(x, deg) : @@ -1179,12 +1199,12 @@ def legvander2d(x, y, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy = deg + degx, degy = ideg x, y = np.array((x, y), copy=0) + 0.0 vx = legvander(x, degx) vy = legvander(y, degy) - v = np.einsum("...i,...j->...ij", vx, vy) + v = vx[..., None]*vy[..., None, :] return v.reshape(v.shape[:-2] + (-1,)) @@ -1225,13 +1245,13 @@ def legvander3d(x, y, z, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy, degz = deg + degx, degy, degz = ideg x, y, z = np.array((x, y, z), copy=0) + 0.0 - vx = legvander(x, deg_x) - vy = legvander(y, deg_y) - vz = legvander(z, deg_z) - v = np.einsum("...i,...j,...k->...ijk", vx, vy, vz) + vx = legvander(x, degx) + vy = legvander(y, degy) + vz = legvander(z, degz) + v = vx[..., None, None]*vy[..., None, :, None]*vz[..., None, None, :] return v.reshape(v.shape[:-3] + (-1,)) diff --git a/numpy/polynomial/polynomial.py b/numpy/polynomial/polynomial.py index 87acfa616..345d76233 100644 --- a/numpy/polynomial/polynomial.py +++ b/numpy/polynomial/polynomial.py @@ -786,7 +786,14 @@ def polyval2d(x, y, c): polyval, polygrid2d, polyval3d, polygrid3d """ - return polyval(y, polyval(x, c), False) + try: + x, y = np.array((x, y), copy=0) + except: + raise ValueError('x, y are incompatible') + + c = polyval(x, c) + c = polyval(y, c, tensor=False) + return c def polygrid2d(x, y, c): @@ -826,7 +833,9 @@ def polygrid2d(x, y, c): polyval, polyval2d, polyval3d, polygrid3d """ - return polyval(y, polyval(x, c)) + c = polyval(x, c) + c = polyval(y, c) + return c def polyval3d(x, y, z, c): @@ -863,7 +872,15 @@ def polyval3d(x, y, z, c): polyval, polyval2d, polygrid2d, polygrid3d """ - return polyval(z, polyval2d(x, y, c), False) + try: + x, y, z = np.array((x, y, z), copy=0) + except: + raise ValueError('x, y, z are incompatible') + + c = polyval(x, c) + c = polyval(y, c, tensor=False) + c = polyval(z, c, tensor=False) + return c def polygrid3d(x, y, z, c): @@ -904,7 +921,10 @@ def polygrid3d(x, y, z, c): polyval, polyval2d, polygrid2d, polyval3d """ - return polyval(z, polygrid2d(x, y, c)) + c = polyval(x, c) + c = polyval(y, c) + c = polyval(z, c) + return c def polyvander(x, deg) : @@ -986,12 +1006,14 @@ def polyvander2d(x, y, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy = deg + degx, degy = ideg x, y = np.array((x, y), copy=0) + 0.0 vx = polyvander(x, degx) vy = polyvander(y, degy) - v = np.einsum("...i,...j->...ij", vx, vy) + v = vx[..., None]*vy[..., None, :] + # einsum bug + #v = np.einsum("...i,...j->...ij", vx, vy) return v.reshape(v.shape[:-2] + (-1,)) @@ -1032,13 +1054,15 @@ def polyvander3d(x, y, z, deg) : is_valid = [id == d and id >= 0 for id, d in zip(ideg, deg)] if is_valid != [1, 1, 1]: raise ValueError("degrees must be non-negative integers") - degx, degy, degz = deg + degx, degy, degz = ideg x, y, z = np.array((x, y, z), copy=0) + 0.0 - vx = polyvander(x, deg_x) - vy = polyvander(y, deg_y) - vz = polyvander(z, deg_z) - v = np.einsum("...i,...j,...k->...ijk", vx, vy, vz) + vx = polyvander(x, degx) + vy = polyvander(y, degy) + vz = polyvander(z, degz) + v = vx[..., None, None]*vy[..., None, :, None]*vz[..., None, None, :] + # einsum bug + #v = np.einsum("...i, ...j, ...k->...ijk", vx, vy, vz) return v.reshape(v.shape[:-3] + (-1,)) |