def test_newtons_method_function__ccode_parameters():
args = x, A, k, p = sp.symbols("x A k p")
expr = A * sp.cos(k * x) - p * x**3
raises(ValueError, lambda: newtons_method_function(expr, x))
use_wurlitzer = wurlitzer
func = newtons_method_function(expr, x, args, debug=use_wurlitzer)
if not has_c():
skip("No C compiler found.")
if not cython:
skip("cython not installed.")
compile_kw = dict(std="c99")
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings(
[
(
"newton_par.c",
("#include <math.h>\n"
"#include <stdio.h>\n") + ccode(func),
),
(
"_newton_par.pyx",
("#cython: language_level={}\n".format("3") +
"cdef extern double newton(double, double, double, double)\n"
"def py_newton(x, A=1, k=1, p=1):\n"
" return newton(x, A, k, p)\n"),
),
],
compile_kwargs=compile_kw,
build_dir=folder,
)
if use_wurlitzer:
with wurlitzer.pipes() as (out, err):
result = mod.py_newton(0.5)
else:
result = mod.py_newton(0.5)
assert abs(result - 0.865474033102) < 1e-12
if not use_wurlitzer:
skip(
"C-level output only tested when package 'wurlitzer' is available."
)
out, err = out.read(), err.read()
assert err == ""
assert (out == """\
x= 0.5 d_x= 0.61214
x= 1.1121 d_x= -0.20247
x= 0.90967 d_x= -0.042409
x= 0.86726 d_x= -0.0017867
x= 0.86548 d_x= -3.1022e-06
x= 0.86547 d_x= -9.3421e-12
x= 0.86547 d_x= 3.6902e-17
""") # try to run tests with LC_ALL=C if this assertion fails
def test_newtons_method_function__fcode():
x = sp.Symbol("x", real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x, attrs=[bind_C(name="newton")])
if not cython:
skip("cython not installed.")
if not has_fortran():
skip("No Fortran compiler found.")
f_mod = f_module([func], "mod_newton")
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings(
[
("newton.f90", f_mod),
(
"_newton.pyx",
("#cython: language_level={}\n".format("3") +
"cdef extern double newton(double*)\n"
"def py_newton(double x):\n"
" return newton(&x)\n"),
),
],
build_dir=folder,
)
assert abs(mod.py_newton(0.5) - 0.865474033102) < 1e-12
def test_newtons_method_function__ccode():
x = sp.Symbol("x", real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x)
if not cython:
skip("cython not installed.")
if not has_c():
skip("No C compiler found.")
compile_kw = dict(std="c99")
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings(
[
(
"newton.c",
("#include <math.h>\n"
"#include <stdio.h>\n") + ccode(func),
),
(
"_newton.pyx",
("#cython: language_level={}\n".format("3") +
"cdef extern double newton(double)\n"
"def py_newton(x):\n"
" return newton(x)\n"),
),
],
build_dir=folder,
compile_kwargs=compile_kw,
)
assert abs(mod.py_newton(0.5) - 0.865474033102) < 1e-12
def test_newtons_method_function__pycode():
x = sp.Symbol('x', real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x)
py_mod = py_module(func)
namespace = {}
exec_(py_mod, namespace, namespace)
res = eval('newton(0.5)', namespace)
assert abs(res - 0.865474033102) < 1e-12
def test_newtons_method_function__pycode():
x = sp.Symbol('x', real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x)
py_mod = py_module(func)
namespace = {}
exec_(py_mod, namespace, namespace)
res = eval('newton(0.5)', namespace)
assert abs(res - 0.865474033102) < 1e-12
def test_newtons_method_function__ccode_parameters():
args = x, A, k, p = sp.symbols('x A k p')
expr = A * sp.cos(k * x) - p * x**3
raises(ValueError, lambda: newtons_method_function(expr, x))
use_wurlitzer = wurlitzer
func = newtons_method_function(expr, x, args, debug=use_wurlitzer)
if not has_c():
skip("No C compiler found.")
if not cython:
skip("cython not installed.")
compile_kw = dict(std='c99')
with tempfile.TemporaryDirectory() as folder:
mod, info = compile_link_import_strings(
[('newton_par.c', ('#include <math.h>\n'
'#include <stdio.h>\n') + ccode(func)),
('_newton_par.pyx',
("#cython: language_level={}\n".format("3") +
"cdef extern double newton(double, double, double, double)\n"
"def py_newton(x, A=1, k=1, p=1):\n"
" return newton(x, A, k, p)\n"))],
compile_kwargs=compile_kw,
build_dir=folder)
if use_wurlitzer:
with wurlitzer.pipes() as (out, err):
result = mod.py_newton(0.5)
else:
result = mod.py_newton(0.5)
assert abs(result - 0.865474033102) < 1e-12
if not use_wurlitzer:
skip(
"C-level output only tested when package 'wurlitzer' is available."
)
out, err = out.read(), err.read()
assert err == ''
assert out == """\
def test_newtons_method_function__ccode_parameters():
args = x, A, k, p = sp.symbols('x A k p')
expr = A*sp.cos(k*x) - p*x**3
raises(ValueError, lambda: newtons_method_function(expr, x))
use_wurlitzer = wurlitzer
func = newtons_method_function(expr, x, args, debug=use_wurlitzer)
if not has_c():
skip("No C compiler found.")
if not cython:
skip("cython not installed.")
compile_kw = dict(std='c99')
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings([
('newton_par.c', ('#include <math.h>\n'
'#include <stdio.h>\n') + ccode(func)),
('_newton_par.pyx', ("cdef extern double newton(double, double, double, double)\n"
"def py_newton(x, A=1, k=1, p=1):\n"
" return newton(x, A, k, p)\n"))
], compile_kwargs=compile_kw, build_dir=folder)
if use_wurlitzer:
with wurlitzer.pipes() as (out, err):
result = mod.py_newton(0.5)
else:
result = mod.py_newton(0.5)
assert abs(result - 0.865474033102) < 1e-12
if not use_wurlitzer:
skip("C-level output only tested when package 'wurlitzer' is available.")
out, err = out.read(), err.read()
assert err == ''
assert out == """\
def test_newtons_method_function__fcode():
x = sp.Symbol('x', real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x, attrs=[bind_C(name='newton')])
if not cython:
skip("cython not installed.")
if not has_fortran():
skip("No Fortran compiler found.")
f_mod = f_module([func], 'mod_newton')
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings(
[('newton.f90', f_mod),
('_newton.pyx', ("cdef extern double newton(double*)\n"
"def py_newton(double x):\n"
" return newton(&x)\n"))],
build_dir=folder)
assert abs(mod.py_newton(0.5) - 0.865474033102) < 1e-12
def test_newtons_method_function__fcode():
x = sp.Symbol('x', real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x, attrs=[bind_C(name='newton')])
if not cython:
skip("cython not installed.")
if not has_fortran():
skip("No Fortran compiler found.")
f_mod = f_module([func], 'mod_newton')
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings([
('newton.f90', f_mod),
('_newton.pyx', ("cdef extern double newton(double*)\n"
"def py_newton(double x):\n"
" return newton(&x)\n"))
], build_dir=folder)
assert abs(mod.py_newton(0.5) - 0.865474033102) < 1e-12
def test_newtons_method_function__ccode():
x = sp.Symbol('x', real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x)
if not cython:
skip("cython not installed.")
if not has_c():
skip("No C compiler found.")
compile_kw = dict(std='c99')
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings([
('newton.c', ('#include <math.h>\n'
'#include <stdio.h>\n') + ccode(func)),
('_newton.pyx', ("cdef extern double newton(double)\n"
"def py_newton(x):\n"
" return newton(x)\n"))
], build_dir=folder, compile_kwargs=compile_kw)
assert abs(mod.py_newton(0.5) - 0.865474033102) < 1e-12
def test_newtons_method_function__ccode():
x = sp.Symbol('x', real=True)
expr = sp.cos(x) - x**3
func = newtons_method_function(expr, x)
if not cython:
skip("cython not installed.")
if not has_c():
skip("No C compiler found.")
compile_kw = dict(std='c99')
with TemporaryDirectory() as folder:
mod, info = compile_link_import_strings(
[('newton.c', ('#include <math.h>\n'
'#include <stdio.h>\n') + ccode(func)),
('_newton.pyx', ("cdef extern double newton(double)\n"
"def py_newton(x):\n"
" return newton(x)\n"))],
build_dir=folder,
compile_kwargs=compile_kw)
assert abs(mod.py_newton(0.5) - 0.865474033102) < 1e-12
