fastmath.complex — generateme/fastmath 1.0.0

Complex numbers functions.

Complex number is represented as Vec2 type (from [[clojure2d.math.vector]] namespace).

To create complex number use complex, [[vec2]] or [[->Vec2]].

Simplified implementation based on Apache Commons Math. Functions don't check NaNs or INF values.

Graphs are generated as follows, background is based on:

• argument as HUE
• absolute value as BRIGHTNESS

with transformed points painted white.

Complex plane (identity) looks as follows:

abs clj

Absolute value

acos clj

(acos z)

acos

add clj

Sum of two complex numbers.

arg clj

Argument (angle) of complex number.

asin clj

(asin z)

asin

atan clj

(atan z)

atan

complex clj

(complex a b)

Create complex number. Represented as Vec2.

conjugate clj

(conjugate z)

Complex conjugate. \(\bar{z}\)

cos clj

(cos z)

cos

cosh clj

(cosh z)

cosh

csc clj

(csc z)

cosecant

div clj

(div z1 z2)

Divide two complex numbers.

exp clj

(exp z)

exp

I clj

I- clj

log clj

(log z)

log

mult clj

(mult z1 z2)

Multiply two complex numbers.

neg clj

(neg z)

Negate complex number. \(-z\)

ONE clj

pow clj

(pow z1 z2)

Power. \(z_1^{z_2}\)

reciprocal clj

(reciprocal z)

\(\frac{1}{z}\)

sec clj

(sec z)

secant

sin clj

(sin z)

sin

sinh clj

(sinh z)

sinh

sq clj

(sq z)

Square complex number. \(z^2\)

sqrt clj

(sqrt z)

Sqrt of complex number. \(\sqrt{z}\)

sqrt1z clj

(sqrt1z z)

\(\sqrt{1-z^2}\)

sub clj

Subtraction of two complex numbers.

tan clj

(tan z)

tan

tanh clj

(tanh z)

tanh

TWO clj

ZERO clj