complex.core — complex 0.1.12

* clj

(*)

(* a)

(* a b)

(* a b & more)

Multiplies two numbers, which may or may not be complex and produces a complex result.

+ clj

(+)

(+ a)

(+ a b)

(+ a b & more)

Adds two numbers, which may or may not be complex and produces a complex result.

- clj

(- a)

(- a b)

(- a b & more)

Subtracts the first argument from the second, either of which may or may not be complex and produces a complex result.

/ clj

(/ a)

(/ a b)

(/ a b & more)

Divides the first argument by the second, either of which may or may not be complex and produces a complex result.

abs clj

(abs a)

Takes a complex or real number and returns its absolute value.

add2c clj

(add2c a b)

Adds two complex numbers.

argument clj

(argument a)

Gives the angle in the polar form of a number that may be complex or real.

complex clj

(complex a)

(complex a b)

Takes one or two numbers and returns a complex number. If only one argument is supplied then the argument is the real part of the complex number and the imaginary part is zero. If two arguments are supplied, then the first is the real part and the second is the imaginary part.

conjugate clj

(conjugate a)

Returns the complex conjugate of a complex number.

cos clj

(cos a)

Computes the cosine of the argument, which may or may not be complex, as a complex number.

cosh clj

(cosh a)

Computes the cosh of the argument, which may or may not be complex, as a complex number.

divide2c clj

(divide2c a b)

Divides two complex numbers.

equals clj

(equals a b)

(equals a b eps)

With two arguments, returns true if two complex numbers are equal, and false otherwise. With three arguments, returns true if the difference between the respective parts of the first two arguments is less than the third argument, which is a double.

exp clj

(exp a)

Computes e^(the argument) where the argument may or may not be complex and returns a complex number.

imaginary-part clj

(imaginary-part a)

Returns the imaginary part of a complex number.

log clj

(log a)

Computes the natural logarithm of the argument, which may or may not be complex, as a complex number.

multiply2c clj

(multiply2c a b)

Multiplies two complex numbers.

negate clj

(negate a)

Returns the negative of a complex number.

nth-root clj

(nth-root a n)

Computes the nth root of the first argument, which should be a complex number. The second argument should be a real number.

polar-form clj

(polar-form a)

Gives a complex number in polar form in a map.

pow clj

(pow a b)

Converts numbers to complex numbers and then raises the first to the power of the second.

powc clj

(powc a b)

Raises the first argument to the power of the second, where both are complex numbers.

real-part clj

(real-part a)

Returns the real part of a complex number.

reciprocal clj

(reciprocal a)

Returns the reciprocal of a number as a complex number.

sin clj

(sin a)

Computes the sine of the argument, which may or may not be complex, as a complex number.

sinh clj

(sinh a)

Computes the sinh of the argument, which may or may not be complex, as a complex number.

sqrt clj

(sqrt a)

Computes the square root of the argument, which may or may not be complex, as a complex number.

sqrt1z clj

(sqrt1z a)

Computes sqrt(1-argument^2) as a complex number, where the argument may or may not be complex.

stringify clj

(stringify a)

Prints a complex number a+bi in the format (a,b). Converts other kinds of arguments to strings as usual.

subtract2c clj

(subtract2c a b)

Subtracts two complex numbers.

tan clj

(tan a)

Computes the tangent of the argument, which may or may not be complex, as a complex number.

tanh clj

(tanh a)

Computes the tanh of the argument, which may or may not be complex, as a complex number.