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66 lines
2.2 KiB
JavaScript
66 lines
2.2 KiB
JavaScript
// complex numbers
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// load math.js (using node.js)
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var math = require('../index');
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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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var a = math.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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var 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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var b = math.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(math.add(a, b)); // 8 - 4i
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print(math.multiply(a, b)); // 36 - 26i
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print(math.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(math.sqrt(4)); // 2
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print(math.sqrt(-4)); // 2i
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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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var c = math.complex({r: math.sqrt(2), phi: math.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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var d = math.complex(3, 4);
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console.log(d.abs(), d.arg()); // radius = 5, phi = 0.9272952180016122
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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', math.equal(a, b)); // returns false
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var values = [a, b, c];
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console.log('values:', math.format(values, 14)); // [5 + 3i, 3 - 7i, 1 + i]
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math.sort(values, 'natural');
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console.log('sorted:', math.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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var precision = 14;
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console.log(math.format(value, precision));
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}
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