Stdlib cmplx

The cmplx module provides a suite of functions for performing operations on complex numbers. These functions allow you to create, manipulate, and compute advanced mathematical expressions using complex arithmetic.

Functions

  • new(real, imag)
    Creates a new complex number from the given real and imaginary parts.

  • conj(c)
    Returns the complex conjugate of the complex number c.

  • abs(c)
    Returns the modulus (absolute value) of the complex number c.

  • arg(c)
    Returns the phase (argument) of the complex number c in radians.

  • sin(c)
    Returns the sine of the complex number c.

  • cos(c)
    Returns the cosine of the complex number c.

  • acos(c)
    Returns the arc cosine (inverse cosine) of the complex number c.

  • acosh(c)
    Returns the hyperbolic arc cosine of the complex number c.

  • asin(c)
    Returns the arc sine (inverse sine) of the complex number c.

  • asinh(c)
    Returns the hyperbolic arc sine of the complex number c.

  • atan(c)
    Returns the arc tangent (inverse tangent) of the complex number c.

  • atanh(c)
    Returns the hyperbolic arc tangent of the complex number c.

  • cosh(c)
    Returns the hyperbolic cosine of the complex number c.

  • cot(c)
    Returns the cotangent of the complex number c (defined as 1/tan(c)).

  • exp(c)
    Returns the exponential function (e^c) of the complex number c.

  • inf()
    Returns an infinite complex number.

  • isinf(c)
    Reports whether the complex number c is infinite; returns true if it is, otherwise false.

  • isnan(c)
    Reports whether the complex number c is NaN (not a number); returns true if it is, otherwise false.

  • log(c)
    Returns the natural logarithm of the complex number c.

  • log10(c)
    Returns the base-10 logarithm of the complex number c.

  • nan()
    Returns a complex number representing NaN.

  • phase(c)
    Alias for arg(c); returns the phase (argument) of the complex number c.

  • polar(c)
    Returns the polar coordinates of the complex number c as a map with keys:

  • r: The modulus (absolute value)

  • theta: The angle in radians

  • pow(x, y)
    Returns the result of raising the complex number x to the power of complex number y.

  • rect(r, theta)
    Returns the complex number corresponding to the given polar coordinates r and theta.

  • sinh(c)
    Returns the hyperbolic sine of the complex number c.

  • sqrt(c)
    Returns the square root of the complex number c.

  • tan(c)
    Returns the tangent of the complex number c.

  • tanh(c)
    Returns the hyperbolic tangent of the complex number c.