math: make consts and structs public
Alexander Medvednikov
parent
ddcd1d2cec
commit
9e9935acbc
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@ -4,9 +4,9 @@
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module complex
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import math
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import math
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struct Complex {
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pub struct Complex {
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pub:
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re f64
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im f64
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@ -17,7 +17,7 @@ pub fn complex(re f64, im f64) Complex {
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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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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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@ -40,7 +40,7 @@ pub fn (c Complex) mod() f64 {
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// Complex Angle
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pub fn (c Complex) angle() f64 {
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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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@ -58,7 +58,7 @@ pub fn (c1 Complex) - (c2 Complex) Complex {
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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.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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@ -67,8 +67,8 @@ pub fn (c1 Complex) - (c2 Complex) Complex {
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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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// 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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@ -86,7 +86,7 @@ pub fn (c1 Complex) subtract(c2 Complex) Complex {
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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.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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@ -94,8 +94,8 @@ pub fn (c1 Complex) multiply(c2 Complex) Complex {
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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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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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@ -106,7 +106,7 @@ pub fn (c Complex) conjugate() Complex{
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}
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// Complex Additive Inverse
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// Based on
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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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@ -121,7 +121,7 @@ pub fn (c Complex) mulinv() Complex {
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-c.im / (c.re * c.re + c.im * c.im)
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}
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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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@ -134,25 +134,25 @@ pub fn (c Complex) pow(n f64) Complex {
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}
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}
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// Complex nth root
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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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// 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 {
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a * math.cos(c.im),
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a * math.cos(c.im),
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a * math.sin(c.im)
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}
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}
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// Complex Natural Logarithm
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// Based on
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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 {
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@ -162,7 +162,7 @@ pub fn (c Complex) ln() Complex {
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}
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// Complex Log Base Complex
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// Based on
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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 base.ln().divide(c.ln())
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@ -184,7 +184,7 @@ pub fn (c Complex) cpow(p Complex) Complex {
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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{
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t1 * math.cos(d),
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t1 * math.cos(d),
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t1 * math.sin(d)
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}
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}
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@ -238,7 +238,7 @@ pub fn (c Complex) csc() Complex {
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}
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// Complex Arc Sin / Sin Inverse
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// Based on
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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(
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@ -254,7 +254,7 @@ pub fn (c Complex) asin() Complex {
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}
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// Complex Arc Consine / Consine Inverse
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// Based on
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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(
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@ -271,7 +271,7 @@ pub fn (c Complex) acos() Complex {
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}
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// Complex Arc Tangent / Tangent Inverse
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// Based on
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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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@ -285,21 +285,21 @@ pub fn (c Complex) atan() Complex {
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}
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// Complex Arc Cotangent / Cotangent Inverse
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// Based on
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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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// 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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// 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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@ -354,7 +354,7 @@ pub fn (c Complex) csch() Complex {
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}
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// Complex Hyperbolic Arc Sin / Sin Inverse
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// Based on
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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(
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@ -365,7 +365,7 @@ pub fn (c Complex) asinh() Complex {
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}
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// Complex Hyperbolic Arc Consine / Consine Inverse
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// Based on
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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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@ -389,7 +389,7 @@ pub fn (c Complex) acosh() Complex {
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}
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// Complex Hyperbolic Arc Tangent / Tangent Inverse
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// Based on
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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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@ -419,7 +419,7 @@ pub fn (c Complex) atanh() Complex {
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}
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// Complex Hyperbolic Arc Cotangent / Cotangent Inverse
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// Based on
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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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@ -449,7 +449,7 @@ pub fn (c Complex) acoth() Complex {
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}
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// Complex Hyperbolic Arc Secant / Secant Inverse
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// Based on
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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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@ -457,7 +457,7 @@ pub fn (c Complex) acoth() Complex {
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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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// c.pow(2)
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// )
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// .root(2)
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// )
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@ -467,7 +467,7 @@ pub fn (c Complex) acoth() Complex {
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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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// c.pow(2)
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// )
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// .root(2)
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// )
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@ -477,14 +477,14 @@ pub fn (c Complex) acoth() Complex {
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// }
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// Complex Hyperbolic Arc Cosecant / Cosecant Inverse
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// Based on
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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(
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one.add(
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c.pow(2)
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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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@ -493,7 +493,7 @@ pub fn (c Complex) acsch() Complex {
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} else {
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return one.add(
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one.add(
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c.pow(2)
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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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@ -4,7 +4,7 @@
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module math
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const (
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pub const (
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e = 2.71828182845904523536028747135266249775724709369995957496696763
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pi = 3.14159265358979323846264338327950288419716939937510582097494459
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phi = 1.61803398874989484820458683436563811772030917980576286213544862
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@ -25,7 +25,7 @@ const (
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// Floating-point limit values
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// max is the largest finite value representable by the type.
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// smallest_non_zero is the smallest positive, non-zero value representable by the type.
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const (
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pub const (
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max_f32 = 3.40282346638528859811704183484516925440e+38 // 2**127 * (2**24 - 1) / 2**23
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smallest_non_zero_f32 = 1.401298464324817070923729583289916131280e-45 // 1 / 2**(127 - 1 + 23)
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@ -34,7 +34,7 @@ const (
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)
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// Integer limit values
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const (
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pub const (
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max_i8 = 127
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min_i8 = -128
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max_i16 = 32767
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