imagine-node

imagine-node

module to work with complex numbers

Install

npm install imagine-node

Usage

const complex = new Complex(1, 1);
complex.toString() // 1+i
const chainingComplex = complex
    .add({ real: 2, imaginary:3 })
    .sub({ real: 1, imaginary:1 })
    .multiply({ real: 2, imaginary:-3 })
    .div({ real: 2, imaginary:3 });
assert(chainingComplex.real === 2);
assert(chainingComplex.imaginary === -3);ç

complex
    .ln()
    .multiply({ real:1, imaginary:1 })
    .exp()
// Definitions and usage examples
cos() {
    return this
        .multiply({ imaginary:1 })
        .exp()
        .add(
            this.multiply({ imaginary:-1 }).exp()
        )
        .div({ real:2 });
}

acos() {
    return this
        .add(this.pow(2).sub(1).sqrt()[0])
        .ln()
        .multiply(Complex.im(-1));
}

asin() {
    return this
        .multiply(Complex.im())
        .add(Complex.re(1).sub(this.pow(2)).sqrt()[0])
        .ln()
        .multiply(Complex.im(-1));
}

atang() {
    return Complex.re(1)
        .sub(this.multiply(Complex.im()))
        .ln()
        .sub(Complex
            .re(1)
            .add(this.multiply(Complex.im()))
            .ln()
        )
        .multiply(Complex.im(0.5));
}

sin() {
    return this
        .multiply({ imaginary:1 })
        .exp()
        .sub(
            this.multiply({ imaginary:-1 }).exp()
        )
        .div({ imaginary: 2 });
}

API imagineClass(real, imaginary)

Properties

real Number

imaginary Number

ClassMethods

add({real, imaginary}, {real, imaginary}) -> imagineInstance

sub({real, imaginary}, {real, imaginary}) -> imagineInstance

div({real, imaginary}, {real, imaginary}) -> imagineInstance

multiply({real, imaginary}, {real, imaginary}) -> imagineInstance

ln({real, imaginary}) -> imagineInstance

cos({real, imaginary}) -> imagineInstance

asin({real, imaginary}) -> imagineInstance

acos({real, imaginary}) -> imagineInstance

sinh({real, imaginary}) -> imagineInstance

cosh({real, imaginary}) -> imagineInstance

atang({real, imaginary}) -> imagineInstance

norm({real, imaginary}) -> number

polar({real, imaginary}) -> {norm, theta}

theta({real, imaginary}) -> number

sin({real, imaginary}) -> imagineInstance

pow({real, imaginary}, {real, imaginary}) -> imagineInstance

sqrt({real, imaginary},integer) ->ArrayOfImagineInstance

inverse({real, imaginary}) ->imagineInstance

im(number) -> imagineInstance

return a complex number with only imaginary part equal to number given

toString({real, imaginary}) -> string

re(number) -> imagineInstance

return a complex number with only real part equal to number given

return a imaginary number

InstanceMethods

add({real, imaginary}) -> imagineInstance

sub({real, imaginary}) -> imagineInstance

div({real, imaginary}) -> imagineInstance

multiply({real, imaginary}) -> imagineInstance

ln() -> imagineInstance

cos() -> imagineInstance

sin() -> imagineInstance

cosh() -> imagineInstance

sinh() -> imagineInstance

norm() -> number

polar() -> {norm, theta}

theta() -> number

asin() -> imagineInstance

acos() -> imagineInstance

atang() -> imagineInstance

pow({real, imaginary}) -> imagineInstance

sqrt(integer) ->ArrayOfImagineInstance

inverse() ->imagineInstance

im() -> imagineInstance

return a complex number with only imaginary part

toString() -> string

re() -> imagineInstance

return a complex number with only real part