fastmath.complex — generateme/fastmath 2.1.8

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.

Complex plane (identity) looks as follows:

-I clj

abs clj

Absolute value

acos clj

(acos z)

acos

acosh clj

(acosh z)

acosh

acoth clj

(acoth z)

sech

acsch clj

(acsch z)

sech

add clj

Sum of two complex numbers.

arg clj

Argument (angle) of complex number.

asech clj

(asech z)

sech

asin clj

(asin z)

asin

asinh clj

(asinh z)

asinh

atan clj

(atan z)

atan

atanh clj

(atanh z)

atanh

complex clj

(complex)

(complex a)

(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

coth clj

(coth z)

coth

csc clj

(csc z)

cosecant

csch clj

(csch z)

cosech

div clj

(div z1 z2)

Divide two complex numbers.

exp clj

(exp z)

exp

flip clj

(flip z)

Exchange imaginary and real parts

I clj

I- clj

im clj

(im z)

Imaginary part

log clj

(log z)

log

mult clj

(mult z1 z2)

Multiply two complex numbers.

mult-I clj

(mult-I z)

mult-I- clj

(mult-I- z)

neg clj

(neg z)

Negate complex number. \(-z\)

ONE clj

pow clj

(pow z1 z2)

Power. \(z_1^{z_2}\)

re clj

(re z)

Real part

reciprocal clj

(reciprocal z)

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

scale clj

Scale number

sec clj

(sec z)

secant

sech clj

(sech z)

sech

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