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// Copyright (c) 2019-2024 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 complex
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import math
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pub struct Complex {
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pub mut:
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re f64
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im f64
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}
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// complex returns a complex struct with the given `real` and `imaginary` values
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pub fn complex(real f64, imaginary f64) Complex {
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return Complex{real, imaginary}
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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 := '${c.re:.6f}'
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out += if c.im >= 0 { '+${c.im:.6f}' } else { '${c.im:.6f}' }
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out += 'i'
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return out
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}
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// Complex Modulus value
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// mod() and abs() return the same
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pub fn (c Complex) abs() f64 {
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return math.hypot(c.re, c.im)
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}
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// mod returns the modulus value of `c`
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pub fn (c Complex) mod() f64 {
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return c.abs()
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}
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// Complex Angle
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pub fn (c Complex) angle() f64 {
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return math.atan2(c.im, c.re)
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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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pub fn (c1 Complex) * (c2 Complex) Complex {
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return Complex{(c1.re * c2.re) + ((c1.im * c2.im) * -1), (c1.re * c2.im) + (c1.im * c2.re)}
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}
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// Complex Division c1 / c2
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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{((c1.re * c2.re) + ((c1.im * -c2.im) * -1)) / denom, ((c1.re * -c2.im) +
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(c1.im * c2.re)) / denom}
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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{(c1.re * c2.re) + ((c1.im * c2.im) * -1), (c1.re * c2.im) + (c1.im * c2.re)}
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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{((c1.re * c2.re) + ((c1.im * -c2.im) * -1)) / denom, ((c1.re * -c2.im) +
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(c1.im * c2.re)) / denom}
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}
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// Complex Conjugate
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pub fn (c Complex) conjugate() Complex {
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return Complex{c.re, -c.im}
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}
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// Complex Additive Inverse
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// Based on
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// http://tutorial.math.lamar.edu/Extras/ComplexPrimer/Arithmetic.aspx
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pub fn (c Complex) addinv() Complex {
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return Complex{-c.re, -c.im}
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}
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// Complex Multiplicative Inverse
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// Based on
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// http://tutorial.math.lamar.edu/Extras/ComplexPrimer/Arithmetic.aspx
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pub fn (c Complex) mulinv() Complex {
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return Complex{c.re / (c.re * c.re + c.im * c.im), -c.im / (c.re * c.re + c.im * c.im)}
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}
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// Complex Power
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// Based on
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/multiplying-and-dividing-complex-numbers-in-polar-form/a/complex-number-polar-form-review
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pub fn (c Complex) pow(n f64) Complex {
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r := math.pow(c.abs(), n)
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angle := c.angle()
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return Complex{r * math.cos(n * angle), r * math.sin(n * angle)}
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}
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// Complex nth root
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pub fn (c Complex) root(n f64) Complex {
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return c.pow(1.0 / n)
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}
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// Complex Exponential
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// Using Euler's Identity
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// Based on
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// https://www.math.wisc.edu/~angenent/Free-Lecture-Notes/freecomplexnumbers.pdf
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pub fn (c Complex) exp() Complex {
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a := math.exp(c.re)
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return Complex{a * math.cos(c.im), a * math.sin(c.im)}
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}
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// Complex Natural Logarithm
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// Based on
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// http://www.chemistrylearning.com/logarithm-of-complex-number/
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pub fn (c Complex) ln() Complex {
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return Complex{math.log(c.abs()), c.angle()}
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}
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// Complex Log Base Complex
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// Based on
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// http://www.milefoot.com/math/complex/summaryops.htm
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pub fn (c Complex) log(base Complex) Complex {
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return c.ln().divide(base.ln())
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}
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// Complex Argument
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// Based on
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// http://mathworld.wolfram.com/ComplexArgument.html
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pub fn (c Complex) arg() f64 {
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return math.atan2(c.im, c.re)
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}
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// Complex raised to Complex Power
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// Based on
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// http://mathworld.wolfram.com/ComplexExponentiation.html
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pub fn (c Complex) cpow(p Complex) Complex {
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a := c.arg()
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b := math.pow(c.re, 2) + math.pow(c.im, 2)
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d := p.re * a + (1.0 / 2) * p.im * math.log(b)
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t1 := math.pow(b, p.re / 2) * math.exp(-p.im * a)
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return Complex{t1 * math.cos(d), t1 * math.sin(d)}
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}
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// Complex Sin
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// Based on
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// http://www.milefoot.com/math/complex/functionsofi.htm
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pub fn (c Complex) sin() Complex {
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return Complex{math.sin(c.re) * math.cosh(c.im), math.cos(c.re) * math.sinh(c.im)}
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}
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// Complex Cosine
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// Based on
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// http://www.milefoot.com/math/complex/functionsofi.htm
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pub fn (c Complex) cos() Complex {
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return Complex{math.cos(c.re) * math.cosh(c.im), -(math.sin(c.re) * math.sinh(c.im))}
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}
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// Complex Tangent
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// Based on
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// http://www.milefoot.com/math/complex/functionsofi.htm
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pub fn (c Complex) tan() Complex {
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return c.sin().divide(c.cos())
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}
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// Complex Cotangent
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// Based on
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// http://www.suitcaseofdreams.net/Trigonometric_Functions.htm
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pub fn (c Complex) cot() Complex {
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return c.cos().divide(c.sin())
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}
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// Complex Secant
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// Based on
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// http://www.suitcaseofdreams.net/Trigonometric_Functions.htm
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pub fn (c Complex) sec() Complex {
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return complex(1, 0).divide(c.cos())
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}
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// Complex Cosecant
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// Based on
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// http://www.suitcaseofdreams.net/Trigonometric_Functions.htm
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pub fn (c Complex) csc() Complex {
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return complex(1, 0).divide(c.sin())
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}
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// Complex Arc Sin / Sin Inverse
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// Based on
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// http://www.milefoot.com/math/complex/summaryops.htm
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pub fn (c Complex) asin() Complex {
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return complex(0, -1).multiply(complex(0, 1).multiply(c).add(complex(1, 0).subtract(c.pow(2)).root(2)).ln())
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}
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// Complex Arc Consine / Consine Inverse
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// Based on
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// http://www.milefoot.com/math/complex/summaryops.htm
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pub fn (c Complex) acos() Complex {
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return complex(0, -1).multiply(c.add(complex(0, 1).multiply(complex(1, 0).subtract(c.pow(2)).root(2))).ln())
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}
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// Complex Arc Tangent / Tangent Inverse
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// Based on
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// http://www.milefoot.com/math/complex/summaryops.htm
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pub fn (c Complex) atan() Complex {
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i := complex(0, 1)
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return complex(0, 1.0 / 2).multiply(i.add(c).divide(i.subtract(c)).ln())
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}
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// Complex Arc Cotangent / Cotangent Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse_Functions.htm
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pub fn (c Complex) acot() Complex {
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return complex(1, 0).divide(c).atan()
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}
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// Complex Arc Secant / Secant Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse_Functions.htm
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pub fn (c Complex) asec() Complex {
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return complex(1, 0).divide(c).acos()
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}
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// Complex Arc Cosecant / Cosecant Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse_Functions.htm
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pub fn (c Complex) acsc() Complex {
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return complex(1, 0).divide(c).asin()
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}
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// Complex Hyperbolic Sin
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// Based on
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// http://www.milefoot.com/math/complex/functionsofi.htm
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pub fn (c Complex) sinh() Complex {
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return Complex{math.cos(c.im) * math.sinh(c.re), math.sin(c.im) * math.cosh(c.re)}
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}
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// Complex Hyperbolic Cosine
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// Based on
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// http://www.milefoot.com/math/complex/functionsofi.htm
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pub fn (c Complex) cosh() Complex {
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return Complex{math.cos(c.im) * math.cosh(c.re), math.sin(c.im) * math.sinh(c.re)}
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}
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// Complex Hyperbolic Tangent
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// Based on
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// http://www.milefoot.com/math/complex/functionsofi.htm
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pub fn (c Complex) tanh() Complex {
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return c.sinh().divide(c.cosh())
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}
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// Complex Hyperbolic Cotangent
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// Based on
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// http://www.suitcaseofdreams.net/Hyperbolic_Functions.htm
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pub fn (c Complex) coth() Complex {
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return c.cosh().divide(c.sinh())
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}
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// Complex Hyperbolic Secant
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// Based on
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// http://www.suitcaseofdreams.net/Hyperbolic_Functions.htm
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pub fn (c Complex) sech() Complex {
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return complex(1, 0).divide(c.cosh())
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}
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// Complex Hyperbolic Cosecant
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// Based on
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// http://www.suitcaseofdreams.net/Hyperbolic_Functions.htm
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pub fn (c Complex) csch() Complex {
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return complex(1, 0).divide(c.sinh())
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}
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// Complex Hyperbolic Arc Sin / Sin Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse__Hyperbolic_Functions.htm
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pub fn (c Complex) asinh() Complex {
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return c.add(c.pow(2).add(complex(1, 0)).root(2)).ln()
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}
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// Complex Hyperbolic Arc Consine / Consine Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse__Hyperbolic_Functions.htm
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pub fn (c Complex) acosh() Complex {
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if c.re > 1 {
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return c.add(c.pow(2).subtract(complex(1, 0)).root(2)).ln()
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} else {
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one := complex(1, 0)
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return c.add(c.add(one).root(2).multiply(c.subtract(one).root(2))).ln()
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}
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}
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// Complex Hyperbolic Arc Tangent / Tangent Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse__Hyperbolic_Functions.htm
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pub fn (c Complex) atanh() Complex {
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one := complex(1, 0)
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if c.re < 1 {
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return complex(1.0 / 2, 0).multiply(one.add(c).divide(one.subtract(c)).ln())
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} else {
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return complex(1.0 / 2, 0).multiply(one.add(c).ln().subtract(one.subtract(c).ln()))
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}
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}
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// Complex Hyperbolic Arc Cotangent / Cotangent Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse__Hyperbolic_Functions.htm
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pub fn (c Complex) acoth() Complex {
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one := complex(1, 0)
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if c.re < 0 || c.re > 1 {
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return complex(1.0 / 2, 0).multiply(c.add(one).divide(c.subtract(one)).ln())
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} else {
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div := one.divide(c)
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return complex(1.0 / 2, 0).multiply(one.add(div).ln().subtract(one.subtract(div).ln()))
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}
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}
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// Complex Hyperbolic Arc Secant / Secant Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse__Hyperbolic_Functions.htm
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// For certain scenarios, Result mismatch in crossverification with Wolfram Alpha - analysis pending
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// pub fn (c Complex) asech() Complex {
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// one := complex(1,0)
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// if(c.re < -1.0) {
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// return one.subtract(
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// one.subtract(
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// c.pow(2)
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// )
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// .root(2)
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// )
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// .divide(c)
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// .ln()
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// }
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// else {
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// return one.add(
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// one.subtract(
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// c.pow(2)
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// )
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// .root(2)
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// )
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// .divide(c)
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// .ln()
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// }
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// }
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// Complex Hyperbolic Arc Cosecant / Cosecant Inverse
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// Based on
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// http://www.suitcaseofdreams.net/Inverse__Hyperbolic_Functions.htm
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pub fn (c Complex) acsch() Complex {
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one := complex(1, 0)
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if c.re < 0 {
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return one.subtract(one.add(c.pow(2)).root(2)).divide(c).ln()
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} else {
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return one.add(one.add(c.pow(2)).root(2)).divide(c).ln()
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}
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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.eq_epsilon(c2.re) && c1.im.eq_epsilon(c2.im)
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}
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@@ -0,0 +1,784 @@
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import math
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import math.complex as cmplx
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fn tst_res(str1 string, str2 string) bool {
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if (math.abs(str1.f64() - str2.f64())) < 1e-5 {
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return true
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}
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return false
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}
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fn test_complex_addition() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(0, -10)
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mut c2 := cmplx.complex(-40, 8)
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mut result := c1 + c2
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assert result.equals(cmplx.complex(-40, -2))
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c1 = cmplx.complex(-71, 2)
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c2 = cmplx.complex(88, -12)
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result = c1 + c2
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assert result.equals(cmplx.complex(17, -10))
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c1 = cmplx.complex(0, -30)
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c2 = cmplx.complex(52, -30)
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result = c1 + c2
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assert result.equals(cmplx.complex(52, -60))
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c1 = cmplx.complex(12, -9)
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c2 = cmplx.complex(32, -6)
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result = c1 + c2
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assert result.equals(cmplx.complex(44, -15))
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}
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fn test_complex_subtraction() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(-8, 0)
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mut c2 := cmplx.complex(6, 30)
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mut result := c1 - c2
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assert result.equals(cmplx.complex(-14, -30))
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c1 = cmplx.complex(-19, 7)
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c2 = cmplx.complex(29, 32)
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result = c1 - c2
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assert result.equals(cmplx.complex(-48, -25))
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c1 = cmplx.complex(12, 0)
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c2 = cmplx.complex(23, 13)
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result = c1 - c2
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assert result.equals(cmplx.complex(-11, -13))
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c1 = cmplx.complex(-14, 3)
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c2 = cmplx.complex(0, 14)
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result = c1 - c2
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assert result.equals(cmplx.complex(-14, -11))
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}
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fn test_complex_multiplication() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(1, 2)
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mut c2 := cmplx.complex(1, -4)
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mut result := c1 * c2
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assert result.equals(cmplx.complex(9, -2))
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c1 = cmplx.complex(-4, -4)
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c2 = cmplx.complex(-5, -3)
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result = c1 * c2
|
||||
assert result.equals(cmplx.complex(8, 32))
|
||||
c1 = cmplx.complex(4, 4)
|
||||
c2 = cmplx.complex(-2, -5)
|
||||
result = c1 * c2
|
||||
assert result.equals(cmplx.complex(12, -28))
|
||||
c1 = cmplx.complex(2, -2)
|
||||
c2 = cmplx.complex(4, -4)
|
||||
result = c1 * c2
|
||||
assert result.equals(cmplx.complex(0, -16))
|
||||
}
|
||||
|
||||
fn test_complex_division() {
|
||||
// Test is based on and verified from practice examples of Khan Academy
|
||||
// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
|
||||
mut c1 := cmplx.complex(-9, -6)
|
||||
mut c2 := cmplx.complex(-3, -2)
|
||||
mut result := c1 / c2
|
||||
assert result.equals(cmplx.complex(3, 0))
|
||||
c1 = cmplx.complex(-23, 11)
|
||||
c2 = cmplx.complex(5, 1)
|
||||
result = c1 / c2
|
||||
assert result.equals(cmplx.complex(-4, 3))
|
||||
c1 = cmplx.complex(8, -2)
|
||||
c2 = cmplx.complex(-4, 1)
|
||||
result = c1 / c2
|
||||
assert result.equals(cmplx.complex(-2, 0))
|
||||
c1 = cmplx.complex(11, 24)
|
||||
c2 = cmplx.complex(-4, -1)
|
||||
result = c1 / c2
|
||||
assert result.equals(cmplx.complex(-4, -5))
|
||||
}
|
||||
|
||||
fn test_complex_conjugate() {
|
||||
// Test is based on and verified from practice examples of Khan Academy
|
||||
// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
|
||||
mut c1 := cmplx.complex(0, 8)
|
||||
mut result := c1.conjugate()
|
||||
assert result.equals(cmplx.complex(0, -8))
|
||||
c1 = cmplx.complex(7, 3)
|
||||
result = c1.conjugate()
|
||||
assert result.equals(cmplx.complex(7, -3))
|
||||
c1 = cmplx.complex(2, 2)
|
||||
result = c1.conjugate()
|
||||
assert result.equals(cmplx.complex(2, -2))
|
||||
c1 = cmplx.complex(7, 0)
|
||||
result = c1.conjugate()
|
||||
assert result.equals(cmplx.complex(7, 0))
|
||||
}
|
||||
|
||||
fn test_complex_equals() {
|
||||
mut c1 := cmplx.complex(0, 8)
|
||||
mut c2 := cmplx.complex(0, 8)
|
||||
assert c1.equals(c2)
|
||||
c1 = cmplx.complex(-3, 19)
|
||||
c2 = cmplx.complex(-3, 19)
|
||||
assert c1.equals(c2)
|
||||
}
|
||||
|
||||
fn test_complex_abs() {
|
||||
mut c1 := cmplx.complex(3, 4)
|
||||
assert c1.abs() == 5
|
||||
c1 = cmplx.complex(1, 2)
|
||||
assert c1.abs() == math.sqrt(5)
|
||||
assert c1.abs() == c1.conjugate().abs()
|
||||
c1 = cmplx.complex(7, 0)
|
||||
assert c1.abs() == 7
|
||||
}
|
||||
|
||||
fn test_complex_angle() {
|
||||
// Test is based on and verified from practice examples of Khan Academy
|
||||
// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
|
||||
mut c := cmplx.complex(1, 0)
|
||||
assert c.angle() * 180 / math.pi == 0
|
||||
c = cmplx.complex(1, 1)
|
||||
assert c.angle() * 180 / math.pi == 45
|
||||
c = cmplx.complex(0, 1)
|
||||
assert c.angle() * 180 / math.pi == 90
|
||||
c = cmplx.complex(-1, 1)
|
||||
assert c.angle() * 180 / math.pi == 135
|
||||
c = cmplx.complex(-1, -1)
|
||||
assert c.angle() * 180 / math.pi == -135
|
||||
cc := c.conjugate()
|
||||
a := cc.angle()
|
||||
assert a + c.angle() == 0
|
||||
}
|
||||
|
||||
fn test_complex_addinv() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(-5, -7)
|
||||
mut result := c1.addinv()
|
||||
assert result.equals(c2)
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(3, -4)
|
||||
result = c1.addinv()
|
||||
assert result.equals(c2)
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(1, 2)
|
||||
result = c1.addinv()
|
||||
assert result.equals(c2)
|
||||
}
|
||||
|
||||
fn test_complex_mulinv() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.067568, -0.094595)
|
||||
mut result := c1.mulinv()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
println(c2.str())
|
||||
println(result.str())
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.12, -0.16)
|
||||
result = c1.mulinv()
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.2, 0.4)
|
||||
result = c1.mulinv()
|
||||
assert result.equals(c2)
|
||||
}
|
||||
|
||||
fn test_complex_mod() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut result := c1.mod()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert tst_res(result.str(), '8.602325')
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
result = c1.mod()
|
||||
assert result == 5
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
result = c1.mod()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert tst_res(result.str(), '2.236068')
|
||||
}
|
||||
|
||||
fn test_complex_pow() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(-24.0, 70.0)
|
||||
mut result := c1.pow(2)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(117, 44)
|
||||
result = c1.pow(3)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-7, -24)
|
||||
result = c1.pow(4)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_root() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(2.607904, 1.342074)
|
||||
mut result := c1.root(2)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(1.264953, 1.150614)
|
||||
result = c1.root(3)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(1.068059, -0.595482)
|
||||
result = c1.root(4)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_exp() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(111.889015, 97.505457)
|
||||
mut result := c1.exp()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.032543, -0.037679)
|
||||
result = c1.exp()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.153092, -0.334512)
|
||||
result = c1.exp()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_ln() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(2.152033, 0.950547)
|
||||
mut result := c1.ln()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(1.609438, 2.214297)
|
||||
result = c1.ln()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(0.804719, -2.034444)
|
||||
result = c1.ln()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_arg() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(2.152033, 0.950547)
|
||||
mut result := c1.arg()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert tst_res(result.str(), '0.950547')
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(1.609438, 2.214297)
|
||||
result = c1.arg()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert tst_res(result.str(), '2.214297')
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(0.804719, -2.034444)
|
||||
result = c1.arg()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert tst_res(result.str(), '-2.034444')
|
||||
}
|
||||
|
||||
fn test_complex_log() {
|
||||
a := cmplx.complex(11.22, 33.44)
|
||||
b := cmplx.complex(55.66, 77.88)
|
||||
c := a.log(b)
|
||||
assert c.re.eq_epsilon(0.8032210844549097)
|
||||
assert c.im.eq_epsilon(0.10605953671930149)
|
||||
}
|
||||
|
||||
fn test_complex_cpow() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut r1 := cmplx.complex(2, 2)
|
||||
mut c2 := cmplx.complex(11.022341, -0.861785)
|
||||
mut result := c1.cpow(r1)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
r1 = cmplx.complex(-4, -2)
|
||||
c2 = cmplx.complex(0.118303, 0.063148)
|
||||
result = c1.cpow(r1)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
r1 = cmplx.complex(8, -9)
|
||||
c2 = cmplx.complex(-0.000000, 0.000007)
|
||||
result = c1.cpow(r1)
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_sin() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(-525.794515, 155.536550)
|
||||
mut result := c1.sin()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-3.853738, -27.016813)
|
||||
result = c1.sin()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-3.165779, -1.959601)
|
||||
result = c1.sin()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_cos() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(155.536809, 525.793641)
|
||||
mut result := c1.cos()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-27.034946, 3.851153)
|
||||
result = c1.cos()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(2.032723, -3.051898)
|
||||
result = c1.cos()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_tan() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(-0.000001, 1.000001)
|
||||
mut result := c1.tan()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(0.000187, 0.999356)
|
||||
result = c1.tan()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.033813, -1.014794)
|
||||
result = c1.tan()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_cot() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(-0.000001, -0.999999)
|
||||
mut result := c1.cot()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(0.000188, -1.000644)
|
||||
result = c1.cot()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.032798, 0.984329)
|
||||
result = c1.cot()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_sec() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.000517, -0.001749)
|
||||
mut result := c1.sec()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.036253, -0.005164)
|
||||
result = c1.sec()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(0.151176, 0.226974)
|
||||
result = c1.sec()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_csc() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(-0.001749, -0.000517)
|
||||
mut result := c1.csc()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.005174, 0.036276)
|
||||
result = c1.csc()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.228375, 0.141363)
|
||||
result = c1.csc()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_asin() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.617064, 2.846289)
|
||||
mut result := c1.asin()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.633984, 2.305509)
|
||||
result = c1.asin()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.427079, -1.528571)
|
||||
result = c1.asin()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_acos() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.953732, -2.846289)
|
||||
mut result := c1.acos()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(2.204780, -2.305509)
|
||||
result = c1.acos()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(1.997875, 1.528571)
|
||||
result = c1.acos()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_atan() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(1.502727, 0.094441)
|
||||
mut result := c1.atan()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-1.448307, 0.158997)
|
||||
result = c1.atan()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-1.338973, -0.402359)
|
||||
result = c1.atan()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_acot() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.068069, -0.094441)
|
||||
mut result := c1.acot()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.122489, -0.158997)
|
||||
result = c1.acot()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.231824, 0.402359)
|
||||
result = c1.acot()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_asec() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(1.503480, 0.094668)
|
||||
mut result := c1.asec()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(1.689547, 0.160446)
|
||||
result = c1.asec()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(1.757114, -0.396568)
|
||||
result = c1.asec()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_acsc() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.067317, -0.094668)
|
||||
mut result := c1.acsc()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.118751, -0.160446)
|
||||
result = c1.acsc()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.186318, 0.396568)
|
||||
result = c1.acsc()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_sinh() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(55.941968, 48.754942)
|
||||
mut result := c1.sinh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(6.548120, -7.619232)
|
||||
result = c1.sinh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(0.489056, -1.403119)
|
||||
result = c1.sinh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_cosh() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(55.947047, 48.750515)
|
||||
mut result := c1.cosh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-6.580663, 7.581553)
|
||||
result = c1.cosh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.642148, 1.068607)
|
||||
result = c1.cosh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_tanh() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.999988, 0.000090)
|
||||
mut result := c1.tanh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-1.000710, 0.004908)
|
||||
result = c1.tanh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-1.166736, 0.243458)
|
||||
result = c1.tanh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_coth() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(1.000012, -0.000090)
|
||||
mut result := c1.coth()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.999267, -0.004901)
|
||||
result = c1.coth()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.821330, -0.171384)
|
||||
result = c1.coth()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_sech() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.010160, -0.008853)
|
||||
mut result := c1.sech()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.065294, -0.075225)
|
||||
result = c1.sech()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.413149, -0.687527)
|
||||
result = c1.sech()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_csch() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.010159, -0.008854)
|
||||
mut result := c1.csch()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(0.064877, 0.075490)
|
||||
result = c1.csch()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(0.221501, 0.635494)
|
||||
result = c1.csch()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_asinh() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(2.844098, 0.947341)
|
||||
mut result := c1.asinh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-2.299914, 0.917617)
|
||||
result = c1.asinh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-1.469352, -1.063440)
|
||||
result = c1.asinh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_acosh() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(2.846289, 0.953732)
|
||||
mut result := c1.acosh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(2.305509, 2.204780)
|
||||
result = c1.acosh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(1.528571, -1.997875)
|
||||
result = c1.acosh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_atanh() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.067066, 1.476056)
|
||||
mut result := c1.atanh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.117501, 1.409921)
|
||||
result = c1.atanh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.173287, -1.178097)
|
||||
result = c1.atanh()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_acoth() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.067066, -0.094740)
|
||||
mut result := c1.acoth()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.117501, -0.160875)
|
||||
result = c1.acoth()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.173287, 0.392699)
|
||||
result = c1.acoth()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
// fn test_complex_asech() {
|
||||
// // Tests were also verified on Wolfram Alpha
|
||||
// mut c1 := cmplx.complex(5,7)
|
||||
// mut c2 := cmplx.complex(0.094668,-1.503480)
|
||||
// mut result := c1.asech()
|
||||
// // Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
// assert result.str() == c2.str()
|
||||
// c1 = cmplx.complex(-3,4)
|
||||
// c2 = cmplx.complex(0.160446,-1.689547)
|
||||
// result = c1.asech()
|
||||
// // Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
// assert result.str() c2.str()
|
||||
// c1 = cmplx.complex(-1,-2)
|
||||
// c2 = cmplx.complex(0.396568,1.757114)
|
||||
// result = c1.asech()
|
||||
// // Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
// assert result.str() == c2.str()
|
||||
// }
|
||||
|
||||
fn test_complex_acsch() {
|
||||
// Tests were also verified on Wolfram Alpha
|
||||
mut c1 := cmplx.complex(5, 7)
|
||||
mut c2 := cmplx.complex(0.067819, -0.094518)
|
||||
mut result := c1.acsch()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-3, 4)
|
||||
c2 = cmplx.complex(-0.121246, -0.159507)
|
||||
result = c1.acsch()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
c1 = cmplx.complex(-1, -2)
|
||||
c2 = cmplx.complex(-0.215612, 0.401586)
|
||||
result = c1.acsch()
|
||||
// Some issue with precision comparison in f64 using == operator hence serializing to string
|
||||
assert result.str() == c2.str()
|
||||
}
|
||||
|
||||
fn test_complex_re_im() {
|
||||
c := cmplx.complex(2.1, 9.05)
|
||||
assert c.re == 2.1
|
||||
assert c.im == 9.05
|
||||
}
|
||||
Reference in new issue
Block a user