68 lines
2.0 KiB
JavaScript
68 lines
2.0 KiB
JavaScript
// complex numbers
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// load js (using node.js)
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const { complex, add, multiply, sin, sqrt, pi, equal, sort, format } = require('..')
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// create a complex number with a numeric real and complex part
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console.log('create and manipulate complex numbers')
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const a = complex(2, 3)
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print(a) // 2 + 3i
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// read the real and complex parts of the complex number
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print(a.re) // 2
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print(a.im) // 3
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// clone a complex value
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const clone = a.clone()
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print(clone) // 2 + 3i
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// adjust the complex value
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a.re = 5
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print(a) // 5 + 3i
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// create a complex number by providing a string with real and complex parts
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const b = complex('3-7i')
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print(b) // 3 - 7i
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console.log()
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// perform operations with complex numbers
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console.log('perform operations')
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print(add(a, b)) // 8 - 4i
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print(multiply(a, b)) // 36 - 26i
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print(sin(a)) // -9.6541254768548 + 2.8416922956064i
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// some operations will return a complex number depending on the arguments
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print(sqrt(4)) // 2
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print(sqrt(-4)) // 2i
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console.log()
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// create a complex number from polar coordinates
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console.log('create complex numbers with polar coordinates')
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const c = complex({ r: sqrt(2), phi: pi / 4 })
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print(c) // 1 + i
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// get polar coordinates of a complex number
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const d = complex(3, 4)
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console.log(d.abs(), d.arg()) // radius = 5, phi = 0.9272952180016122
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console.log()
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// comparision operations
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// note that there is no mathematical ordering defined for complex numbers
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// we can only check equality. To sort a list with complex numbers,
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// the natural sorting can be used
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console.log('\ncomparision and sorting operations')
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console.log('equal', equal(a, b)) // returns false
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const values = [a, b, c]
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console.log('values:', format(values, 14)) // [5 + 3i, 3 - 7i, 1 + i]
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sort(values, 'natural')
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console.log('sorted:', format(values, 14)) // [1 + i, 3 - 7i, 5 + 3i]
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/**
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* Helper function to output a value in the console. Value will be formatted.
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* @param {*} value
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*/
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function print (value) {
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const precision = 14
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console.log(format(value, precision))
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}
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