def some_complex_irrational_f(x,y,z):
from pyaudi import exp, log, cos, sin, tan, sqrt, cbrt, cos, sin, tan, acos, asin, atan, cosh, sinh, tanh, acosh, asinh, atanh
from pyaudi import abs as gd_abs
from pyaudi import sin_and_cos, sinh_and_cosh
f = (x+y+z) / 10.
retval = exp(f) + log(f) + f**2 + sqrt(f) + cbrt(f) + cos(f) + sin(f)
retval += tan(f) + acos(f) + asin(f) + atan(f) + cosh(f) + sinh(f)
retval += tanh(f) + acosh(f) + asinh(f) + atanh(f)
a = sin_and_cos(f)
b = sinh_and_cosh(f)
retval+=a[0]+a[1]+b[0]+b[1]
return retval
def some_complex_irrational_f(x, y, z):
from pyaudi import exp, log, cos, sin, tan, sqrt, cbrt, cos, sin, tan, acos, asin, atan, cosh, sinh, tanh, acosh, asinh, atanh
from pyaudi import abs as gd_abs
from pyaudi import sin_and_cos, sinh_and_cosh
f = (x + y + z) / 10.
retval = exp(f) + log(f) + f**2 + sqrt(f) + cbrt(f) + cos(f) + sin(f)
retval += tan(f) + acos(f) + asin(f) + atan(f) + cosh(f) + sinh(f)
retval += tanh(f) + acosh(f) + asinh(f) + atanh(f)
a = sin_and_cos(f)
b = sinh_and_cosh(f)
retval += a[0] + a[1] + b[0] + b[1]
return retval
def test_sin_and_cos(self):
from pyaudi import gdual_double as gdual
from pyaudi import sin, cos, sin_and_cos
x = gdual(2.3, "x",8);
y = gdual(1.5, "y",8);
p1 = x + y;
self.assertTrue((sin(2*p1) - 2 * sin(p1) * cos(p1)).is_zero(1e-12))
self.assertTrue((cos(2*p1) - 1 + 2*sin(p1)*sin(p1)).is_zero(1e-12))
self.assertTrue((cos(2*p1) + 1 - 2*cos(p1)*cos(p1)).is_zero(1e-12))
self.assertTrue((cos(2*p1) - cos(p1)*cos(p1) + sin(p1) * sin(p1)).is_zero(1e-12))
self.assertTrue((sin(p1)*sin(p1) + cos(p1)*cos(p1) - 1).is_zero(1e-12))
res = sin_and_cos(p1);
self.assertTrue((res[0] - sin(p1)).is_zero(1e-12))
self.assertTrue((res[1] - cos(p1)).is_zero(1e-12))
def test_sin_and_cos(self):
from pyaudi import gdual_double as gdual
from pyaudi import sin, cos, sin_and_cos
x = gdual(2.3, "x", 8)
y = gdual(1.5, "y", 8)
p1 = x + y
self.assertTrue((sin(2 * p1) - 2 * sin(p1) * cos(p1)).is_zero(1e-12))
self.assertTrue(
(cos(2 * p1) - 1 + 2 * sin(p1) * sin(p1)).is_zero(1e-12))
self.assertTrue(
(cos(2 * p1) + 1 - 2 * cos(p1) * cos(p1)).is_zero(1e-12))
self.assertTrue((cos(2 * p1) - cos(p1) * cos(p1) +
sin(p1) * sin(p1)).is_zero(1e-12))
self.assertTrue(
(sin(p1) * sin(p1) + cos(p1) * cos(p1) - 1).is_zero(1e-12))
res = sin_and_cos(p1)
self.assertTrue((res[0] - sin(p1)).is_zero(1e-12))
self.assertTrue((res[1] - cos(p1)).is_zero(1e-12))