This module implements complex numbers.
Procs
proc toComplex(x: SomeInteger): Complex
- Convert some integer x to a complex number. Source Edit
proc `==`(x, y: Complex): bool {...}{.raises: [], tags: [].}
- Compare two complex numbers x and y for equality. Source Edit
proc `=~`(x, y: Complex): bool {...}{.raises: [], tags: [].}
- Compare two complex numbers x and y approximately. Source Edit
proc `+`(x, y: Complex): Complex {...}{.raises: [], tags: [].}
- Add two complex numbers. Source Edit
proc `+`(x: Complex; y: float): Complex {...}{.raises: [], tags: [].}
- Add complex x to float y. Source Edit
proc `+`(x: float; y: Complex): Complex {...}{.raises: [], tags: [].}
- Add float x to complex y. Source Edit
proc `-`(z: Complex): Complex {...}{.raises: [], tags: [].}
- Unary minus for complex numbers. Source Edit
proc `-`(x, y: Complex): Complex {...}{.raises: [], tags: [].}
- Subtract two complex numbers. Source Edit
proc `-`(x: Complex; y: float): Complex {...}{.raises: [], tags: [].}
- Subtracts float y from complex x. Source Edit
proc `-`(x: float; y: Complex): Complex {...}{.raises: [], tags: [].}
- Subtracts complex y from float x. Source Edit
proc `/`(x, y: Complex): Complex {...}{.raises: [], tags: [].}
- Divide x by y. Source Edit
proc `/`(x: Complex; y: float): Complex {...}{.raises: [], tags: [].}
- Divide complex x by float y. Source Edit
proc `/`(x: float; y: Complex): Complex {...}{.raises: [], tags: [].}
- Divide float x by complex y. Source Edit
proc `*`(x, y: Complex): Complex {...}{.raises: [], tags: [].}
- Multiply x with y. Source Edit
proc `*`(x: float; y: Complex): Complex {...}{.raises: [], tags: [].}
- Multiply float x with complex y. Source Edit
proc `*`(x: Complex; y: float): Complex {...}{.raises: [], tags: [].}
- Multiply complex x with float y. Source Edit
proc `+=`(x: var Complex; y: Complex) {...}{.raises: [], tags: [].}
- Add y to x. Source Edit
proc `+=`(x: var Complex; y: float) {...}{.raises: [], tags: [].}
- Add y to the complex number x. Source Edit
proc `-=`(x: var Complex; y: Complex) {...}{.raises: [], tags: [].}
- Subtract y from x. Source Edit
proc `-=`(x: var Complex; y: float) {...}{.raises: [], tags: [].}
- Subtract y from the complex number x. Source Edit
proc `*=`(x: var Complex; y: Complex) {...}{.raises: [], tags: [].}
- Multiply y to x. Source Edit
proc `*=`(x: var Complex; y: float) {...}{.raises: [], tags: [].}
- Multiply y to the complex number x. Source Edit
proc `/=`(x: var Complex; y: Complex) {...}{.raises: [], tags: [].}
- Divide x by y in place. Source Edit
proc `/=`(x: var Complex; y: float) {...}{.raises: [], tags: [].}
- Divide complex x by float y in place. Source Edit
proc abs(z: Complex): float {...}{.raises: [], tags: [].}
- Return the distance from (0,0) to z. Source Edit
proc conjugate(z: Complex): Complex {...}{.raises: [], tags: [].}
- Conjugate of complex number z. Source Edit
proc sqrt(z: Complex): Complex {...}{.raises: [], tags: [].}
- Square root for a complex number z. Source Edit
proc exp(z: Complex): Complex {...}{.raises: [], tags: [].}
- e raised to the power z. Source Edit
proc ln(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the natural log of z. Source Edit
proc log10(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the log base 10 of z. Source Edit
proc log2(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the log base 2 of z. Source Edit
proc pow(x, y: Complex): Complex {...}{.raises: [], tags: [].}
- x raised to the power y. Source Edit
proc sin(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the sine of z. Source Edit
proc arcsin(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse sine of z. Source Edit
proc cos(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the cosine of z. Source Edit
proc arccos(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse cosine of z. Source Edit
proc tan(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the tangent of z. Source Edit
proc arctan(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse tangent of z. Source Edit
proc cot(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the cotangent of z. Source Edit
proc arccot(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse cotangent of z. Source Edit
proc sec(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the secant of z. Source Edit
proc arcsec(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse secant of z. Source Edit
proc csc(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the cosecant of z. Source Edit
proc arccsc(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse cosecant of z. Source Edit
proc sinh(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the hyperbolic sine of z. Source Edit
proc arcsinh(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse hyperbolic sine of z. Source Edit
proc cosh(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the hyperbolic cosine of z. Source Edit
proc arccosh(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse hyperbolic cosine of z. Source Edit
proc tanh(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the hyperbolic tangent of z. Source Edit
proc arctanh(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse hyperbolic tangent of z. Source Edit
proc sech(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the hyperbolic secant of z. Source Edit
proc arcsech(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse hyperbolic secant of z. Source Edit
proc csch(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the hyperbolic cosecant of z. Source Edit
proc arccsch(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse hyperbolic cosecant of z. Source Edit
proc coth(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the hyperbolic cotangent of z. Source Edit
proc arccoth(z: Complex): Complex {...}{.raises: [], tags: [].}
- Returns the inverse hyperbolic cotangent of z. Source Edit
proc phase(z: Complex): float {...}{.raises: [], tags: [].}
- Returns the phase of z. Source Edit
proc polar(z: Complex): tuple[r, phi: float] {...}{.raises: [], tags: [].}
- Returns z in polar coordinates. Source Edit
proc rect(r: float; phi: float): Complex {...}{.raises: [], tags: [].}
- Returns the complex number with polar coordinates r and phi. Source Edit
proc `$`(z: Complex): string {...}{.raises: [], tags: [].}
- Returns z's string representation as "(re, im)". Source Edit