Chicken » Module (scheme complex)

## Module (scheme complex)

R7RS Operations on complex numbers.

`(make-rectangular x[1] x[2])`procedure
`(make-polar x[3] x[4])`procedure
real-part zprocedure
imag-part zprocedure
magnitude zprocedure
angle zprocedure

  Let x[1], x[2], x[3] and x[4] be real numbers and z be a complex number such that

        z  =  x[1]  +  x[2] * i =  x[3] * e^(i * x[4])

  Then all of

      (make-rectangular x[1] x[2])   ==> z
      (make-polar x[3] x[4])         ==> z
      (real-part z)                  ==> x[1]
      (imag-part z)                  ==> x[2]
      (magnitude z)                  ==> |x[3]|
      (angle z)                      ==> x[angle]

  are true, where

         −π ≤ x[angle] ≤ π with x[angle] = x[4] + 2 * π * n for some integer n.

  The make-polar procedure may return an inexact complex number even if its arguments are exact. The real-part and imag-part procedures may return exact real numbers when applied to an inexact complex number if the corresponding argument passed to make-rectangular was exact.

  Rationale: The magnitude procedure is the same as abs for a real argument, but abs is in the base library, whereas magnitude is in the optional complex library.

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