org.python.modules

Class cmath

java.lang.Object

org.python.modules.cmath

public class cmath
extends java.lang.Object

Field Summary

Fields

Modifier and Type	Field and Description
static PyFloat	e
static PyFloat	pi

Constructor Summary

Constructors

Constructor and Description
cmath()

Method Summary

Modifier and Type	Method and Description
static PyComplex	acos(PyObject w) Return the arc cosine of w.
static PyComplex	acosh(PyObject w) Return the hyperbolic arc cosine of w.
static PyComplex	asin(PyObject w) Return the arc sine of w.
static PyComplex	asinh(PyObject w) Return the hyperbolic arc sine of w.
static PyComplex	atan(PyObject w) Return the arc tangent of w.
static PyComplex	atanh(PyObject w) Return the hyperbolic arc tangent of w.
static PyComplex	cos(PyObject z) Return the cosine of z.
static PyComplex	cosh(PyObject z) Return the hyperbolic cosine of z.
static PyComplex	exp(PyObject z) Return the exponential value ez.
static boolean	isinf(PyObject in)
static boolean	isnan(PyObject in)
static PyComplex	log(PyObject w) Returns the natural logarithm of w.
static PyComplex	log(PyObject w, PyObject b) Returns the logarithm of w to the given base.
static PyComplex	log10(PyObject w) Returns the common logarithm of w (base 10 logarithm).
static double	phase(PyObject in)
static PyTuple	polar(PyObject in)
static PyComplex	rect(double r, double phi) Return the complex number x with polar coordinates r and phi.
static PyComplex	sin(PyObject z) Return the sine of z.
static PyComplex	sinh(PyObject z) Return the hyperbolic sine of z.
static PyComplex	sqrt(PyObject w) Calculate z = x+iy, such that z2 = w.
static PyComplex	tan(PyObject z) Return the tangent of z.
static PyComplex	tanh(PyObject z) Return the hyperbolic tangent of z.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

pi

public static final PyFloat pi

e

public static final PyFloat e

Constructor Detail

cmath

public cmath()

Method Detail

acos

public static PyComplex acos(PyObject w)

Return the arc cosine of w. There are two branch cuts. One extends right from 1 along the real axis to ∞, continuous from below. The other extends left from -1 along the real axis to -∞, continuous from above.

Parameters:

w -

Returns:

cos^-1w

acosh

public static PyComplex acosh(PyObject w)

Return the hyperbolic arc cosine of w. There is one branch cut, extending left from 1 along the real axis to -∞, continuous from above.

Parameters:

w -

Returns:

cosh^-1w

asin

public static PyComplex asin(PyObject w)

Return the arc sine of w. There are two branch cuts. One extends right from 1 along the real axis to ∞, continuous from below. The other extends left from -1 along the real axis to -∞, continuous from above.

Parameters:

w -

Returns:

sin^-1w

asinh

public static PyComplex asinh(PyObject w)

Return the hyperbolic arc sine of w. There are two branch cuts. One extends from 1j along the imaginary axis to ∞j, continuous from the right. The other extends from -1j along the imaginary axis to -∞j, continuous from the left.

Parameters:

w -

Returns:

sinh^-1w

atan

public static PyComplex atan(PyObject w)

Return the arc tangent of w. There are two branch cuts. One extends from 1j along the imaginary axis to ∞j, continuous from the right. The other extends from -1j along the imaginary axis to -∞j, continuous from the left.

Parameters:

w -

Returns:

tan^-1w

atanh

public static PyComplex atanh(PyObject w)

Return the hyperbolic arc tangent of w. There are two branch cuts. One extends from 1 along the real axis to ∞, continuous from below. The other extends from -1 along the real axis to -∞, continuous from above.

Parameters:

w -

Returns:

tanh^-1w

cos

public static PyComplex cos(PyObject z)

Return the cosine of z.

Parameters:

z -

Returns:

cos z

cosh

public static PyComplex cosh(PyObject z)

Return the hyperbolic cosine of z.

Parameters:

z -

Returns:

cosh z

exp

public static PyComplex exp(PyObject z)

Return the exponential value e^z.

Parameters:

z -

Returns:

e^z

phase

public static double phase(PyObject in)

polar

public static PyTuple polar(PyObject in)

rect

public static PyComplex rect(double r,
                             double phi)

Return the complex number x with polar coordinates r and phi. Equivalent to r * (math.cos(phi) + math.sin(phi)*1j).

Parameters:

r - radius

phi - angle

Returns:

re^iφ

isinf

public static boolean isinf(PyObject in)

Parameters:

in -

Returns:

true if in.real or in.imag is positive or negative infinity

isnan

public static boolean isnan(PyObject in)

Parameters:

in -

Returns:

true if in.real or in.imag is nan.

log

public static PyComplex log(PyObject w)

Returns the natural logarithm of w.

Parameters:

w -

Returns:

ln w

log10

public static PyComplex log10(PyObject w)

Returns the common logarithm of w (base 10 logarithm).

Parameters:

w -

Returns:

log₁₀w

log

public static PyComplex log(PyObject w,
                            PyObject b)

Returns the logarithm of w to the given base. If the base is not specified, returns the natural logarithm of w. There is one branch cut, from 0 along the negative real axis to -∞, continuous from above.

Parameters:

w -

b -

Returns:

log_bw

sin

public static PyComplex sin(PyObject z)

Return the sine of z.

Parameters:

z -

Returns:

sin z

sinh

public static PyComplex sinh(PyObject z)

Return the hyperbolic sine of z.

Parameters:

z -

Returns:

sinh z

sqrt

public static PyComplex sqrt(PyObject w)

Calculate z = x+iy, such that z² = w. In taking the square roots to get x and y, we choose to have x≥0 always, and y the same sign as v.

Parameters:

w - to square-root

Returns:

w^½

tan

public static PyComplex tan(PyObject z)

Return the tangent of z.

Parameters:

z -

Returns:

tan z

tanh

public static PyComplex tanh(PyObject z)

Return the hyperbolic tangent of z.

Parameters:

z -

Returns:

tanh z