org.soulspace.math.complex — org.soulspace.clj/math.core 0.9.0

Functions for complex numbers in cartesian or polar representation.

Complex numbers are represented as maps with the keys ':real' and ':img' in cartesian representation and ':r' and ':phi' in polar representation.

add clj/s

(add c1 c2)

Adds two complex numbers 'c1' and 'c2' given in cartesian representation.

conjugate clj/s

(conjugate c)

Calculates the conjugate of the complex number 'c' given in cartesian representation.

div-polar clj/s

(div-polar p1 p2)

Divides the complex numbers given in polar representation.

divide clj/s

(divide c1 c2)

Multiplies two complex numbers 'c1' and 'c2' given in cartesian representation.

I clj/s

The complex number i in cartesian representation

inverse clj/s

(inverse c)

Calculates the conjugate of the complex number 'c' given in cartesian representation. If c is zero, an exception is thrown.

mult-polar clj/s

(mult-polar p1 p2)

Multiplies the complex numbers given in polar representation.

multiply clj/s

(multiply c1 c2)

Multiplies two complex numbers 'c1' and 'c2' given in cartesian representation.

norm clj/s

(norm c)

Calculates the norm or absolute value of the complex number 'c' given in cartesian representation.

ONE clj/s

The complex number one in cartesian representation.

scalar-product clj/s

(scalar-product c x)

Calculates the scalar product of the complex number 'c' with the real number 'x'

sqr clj/s

(sqr c)

Calculates the square of the complex number 'c' given in cartesian repmresentation.

sqrt clj/s

(sqrt c)

Calculates the principal square root of the complex number 'c' given in cartesian representation.

sqrt-polar clj/s

(sqrt-polar p)

Calculates the principal square root of the complex number 'p' given in polar representation.

substract clj/s

(substract c1 c2)

Substracts two complex numbers 'c1' and 'c2' given in cartesian representation'.

to-cartesian clj/s

(to-cartesian p)

Retuns the cartesian representation of the complex number 'p' given in polar representation.

to-polar clj/s

(to-polar c)

Retuns the polar representation of the complex number 'c' given in cartesian representation.

ZERO clj/s

The complex number zero in cartesian representation.