93 lines
2.0 KiB
Go
93 lines
2.0 KiB
Go
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// Copyright (c) 2019 Alexander Medvednikov. All rights reserved.
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// Use of this source code is governed by an MIT license
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// that can be found in the LICENSE file.
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module math
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struct Complex {
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re f64
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im f64
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}
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pub fn complex(re f64,im f64) Complex {
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return Complex{re,im}
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}
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// To String method
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pub fn (c Complex) str() string {
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mut out := '$c.re'
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out += if c.im >= 0 {
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'+$c.im'
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}
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else {
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'$c.im'
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}
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out += 'i'
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return out
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}
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// Complex Addition c1 + c2
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pub fn (c1 Complex) + (c2 Complex) Complex {
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return Complex{c1.re+c2.re,c1.im+c2.im}
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}
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// Complex Substraction c1 - c2
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pub fn (c1 Complex) - (c2 Complex) Complex {
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return Complex{c1.re-c2.re,c1.im-c2.im}
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}
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// Complex Multiplication c1 * c2
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// Currently Not Supported
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// pub fn (c1 Complex) * (c2 Complex) Complex {
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// return Complex{
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// (c1.re * c2.re) + ((c1.im * c2.im) * -1),
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// (c1.re * c2.im) + (c1.im * c2.re)
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// }
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// }
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// Complex Division c1 / c2
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// Currently Not Supported
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// pub fn (c1 Complex) / (c2 Complex) Complex {
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// denom := (c2.re * c2.re) + (c2.im * c2.im)
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// return Complex {
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// ((c1.re * c2.re) + ((c1.im * -c2.im) * -1))/denom,
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// ((c1.re * -c2.im) + (c1.im * c2.re))/denom
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// }
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// }
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// Complex Addition c1.add(c2)
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pub fn (c1 Complex) add(c2 Complex) Complex {
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return c1 + c2
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}
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// Complex Subtraction c1.subtract(c2)
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pub fn (c1 Complex) subtract(c2 Complex) Complex {
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return c1 - c2
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}
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// Complex Multiplication c1.multiply(c2)
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pub fn (c1 Complex) multiply(c2 Complex) Complex {
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return Complex{
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(c1.re * c2.re) + ((c1.im * c2.im) * -1),
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(c1.re * c2.im) + (c1.im * c2.re)
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}
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}
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// Complex Division c1.divide(c2)
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pub fn (c1 Complex) divide(c2 Complex) Complex {
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denom := (c2.re * c2.re) + (c2.im * c2.im)
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return Complex {
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((c1.re * c2.re) + ((c1.im * -c2.im) * -1))/denom,
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((c1.re * -c2.im) + (c1.im * c2.re))/denom
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}
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}
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// Complex Conjugate
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pub fn (c1 Complex) conjugate() Complex{
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return Complex{c1.re,-c1.im}
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}
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// Complex Equals
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pub fn (c1 Complex) equals(c2 Complex) bool {
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return (c1.re == c2.re) && (c1.im == c2.im)
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}
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