fastmath.complex — generateme/fastmath 2.4.0

Complex numbers functions.

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

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

Implementation checks for ##Inf, ##NaN and some of the function distinguish +0.0 and -0.0

-I clj

abs clj

(abs z)

Absolute value, magnitude

acos clj

(acos z)

acos

acosh clj

(acosh z)

acosh

acot clj

(acot z)

acot

acoth clj

(acoth z)

acsc clj

(acsc z)

acsc

acsch clj

(acsch z)

add clj

(add z1 z2)

Sum of two complex numbers

arg clj

(arg z)

Argument (angle) of the complex number

asec clj

(asec z)

asec

asech clj

(asech z)

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

cot clj

(cot z)

csc

coth clj

(coth z)

coth

csc clj

(csc z)

csc

csch clj

(csch z)

csch

csgn clj

(csgn z)

(csgn re im)

Complex sgn.

Returns 0 for 0+0i or calls m/sgn on real part otherwise.

delta-eq clj

(delta-eq q1 q2)

(delta-eq q1 q2 accuracy)

Compare complex numbers with given accuracy (10e-6 by default)

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

imaginary? clj

(imaginary? z)

Is z is a pure imaginary number?

inf? clj

(inf? z)

Is infinite?

log clj

(log z)

log, principal value

logb clj

(logb z b)

log with base b

mult clj

(mult z1 z2)

Multiply two complex numbers.

mult-I clj

(mult-I z)

mult-I- clj

(mult-I- z)

nan? clj

(nan? z)

Is NaN?

neg clj

(neg z)

Negate complex number. \(-z\)

norm clj

(norm z)

Norm (Guass) of the complex number, absolute value squared

ONE clj

pow clj

(pow z1 z2)

Power. \(z_1^{z_2}\)

re clj

(re z)

Real part

real? clj

(real? z)

Is z is a real number?

reciprocal clj

(reciprocal z)

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

scale clj

(scale z v)

Multiply by real number

sec clj

(sec z)

sec

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

(sub z1 z2)

Difference of two complex numbers

tan clj

(tan z)

tan

tanh clj

(tanh z)

tanh

TWO clj

ZERO clj

zero? clj

(zero? z)

Is zero?