dualnum.Dual64

class dualnum.Dual64

Dual number using 64-bit-floats as fields.

A dual number consists of a + b ε

Examples

>>> from dualnum import Dual64 as D64
>>> x = D64(1.0, 0.0)
>>> y = D64.from_re(2.0)
>>> x + y
3 + [0]ε

First derivative of a function.

>>> from dualnum import Dual64 as D64, derive1
>>> import numpy as np
>>> x = derive1(4.0)
>>> # this is equivalent to the above
>>> x = D64(4.0, 1.0)
>>> fx = x*x + np.sqrt(x)
>>> fx.value
18
>>> fx.first_derivative
8.25

__init__()

Methods

__init__()
arccos	Computes the arccosine of a (hyper) dual number.
arccosh	Computes the inverse hyperbolic cosine of a (hyper) dual number.
arcsin	Computes the arcsine of a (hyper) dual number.
arcsinh	Computes the inverse hyperbolic sine of a (hyper) dual number.
arctan	Computes the arctangent of a (hyper) dual number.
arctanh	Computes the inverse hyperbolic tangent of a (hyper) dual number.
cbrt	Cubic root.
cos	Hyperbolic cosine function.
cosh	Computes the hyperbolic cosine of a (hyper) dual number.
exp	Calculate the exponential of (hyper) dual number.
exp2	Calculate 2**x of (hyper) dual number x.
expm1	Calculate exp(x) - 1.
from_re	(Hyper) dual number from real part, setting all other parts to zero.
log	Calculate natural logarithm.
log10	Calculate logarithm with base 10.
log1p	Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately.
log2	Calculate logarithm with base 2.
log_base	Calculate logarithm with given base.
mul_add	Fused multiply-add.
powd	Power using self (hyper) dual number as exponent.
powf	Power using 64-bin float as exponent.
powi	Power using 32-bit integer as exponent.
recip	Reciprocal value of self.
sin	Hyperbolic sine function.
sin_cos	Simultaneously computes the sine and cosine of the (hyper) dual number, x.
sinh	Computes the hyperbolic sine of a (hyper) dual number.
sph_j0	Computes the first spherical bessel function.
sph_j1	Computes the second spherical bessel function.
sph_j2	Computes the third spherical bessel function.
sqrt	Sqaure root.
tan	Computes the tangent of a (hyper) dual number (in radians).
tanh	Computes the hyperbolic tangent of a (hyper) dual number.

Attributes

first_derivative	Dual part.
value	Real part.