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105 lines
2.3 KiB
Go
105 lines
2.3 KiB
Go
// 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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// Fraction Struct
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struct Fraction {
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n i64
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d i64
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}
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// A factory function for creating a Fraction, adds a boundary condition
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pub fn fraction(n i64, d i64) Fraction{
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if d != 0 {
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return Fraction{n, d}
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}
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else {
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panic('Denominator cannot be zero')
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}
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}
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// To String method
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pub fn (f Fraction) str() string {
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return '$f.n/$f.d'
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}
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// Fraction add using operator overloading
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pub fn (f1 Fraction) + (f2 Fraction) Fraction {
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if f1.d == f2.d {
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return Fraction{f1.n + f2.n, f1.d}
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}
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else {
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return Fraction{(f1.n * f2.d) + (f2.n * f1.d), f1.d * f2.d}
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}
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}
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// Fraction substract using operator overloading
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pub fn (f1 Fraction) - (f2 Fraction) Fraction {
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if f1.d == f2.d {
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return Fraction{f1.n - f2.n, f1.d}
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}
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else {
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return Fraction{(f1.n * f2.d) - (f2.n * f1.d), f1.d * f2.d}
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}
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}
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// Fraction multiply using operator overloading
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// pub fn (f1 Fraction) * (f2 Fraction) Fraction {
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// return Fraction{f1.n * f2.n,f1.d * f2.d}
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// }
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// Fraction divide using operator overloading
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// pub fn (f1 Fraction) / (f2 Fraction) Fraction {
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// return Fraction{f1.n * f2.d,f1.d * f2.n}
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// }
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// Fraction add method
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pub fn (f1 Fraction) add(f2 Fraction) Fraction {
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return f1 + f2
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}
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// Fraction subtract method
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pub fn (f1 Fraction) subtract(f2 Fraction) Fraction {
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return f1 - f2
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}
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// Fraction multiply method
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pub fn (f1 Fraction) multiply(f2 Fraction) Fraction {
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return Fraction{f1.n * f2.n, f1.d * f2.d}
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}
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// Fraction divide method
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pub fn (f1 Fraction) divide(f2 Fraction) Fraction {
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return Fraction{f1.n * f2.d, f1.d * f2.n}
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}
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// Fraction reciprocal method
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pub fn (f1 Fraction) reciprocal() Fraction {
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return Fraction{f1.d, f1.n}
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}
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// Fraction method which gives greatest common divisor of numerator and denominator
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pub fn (f1 Fraction) gcd() i64 {
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return gcd(f1.n, f1.d)
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}
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// Fraction method which reduces the fraction
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pub fn (f1 Fraction) reduce() Fraction {
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cf := f1.gcd()
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return Fraction{f1.n / cf, f1.d / cf}
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}
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// Converts Fraction to decimal
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pub fn (f1 Fraction) f64() f64 {
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return f64(f1.n) / f64(f1.d)
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}
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// Compares two Fractions
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pub fn (f1 Fraction) equals(f2 Fraction) bool {
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r1 := f1.reduce()
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r2 := f2.reduce()
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return (r1.n == r2.n) && (r1.d == r2.d)
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}
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