1 | import { factory } from '../../utils/factory.js';
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2 | import { flatten } from '../../utils/array.js';
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3 | var name = 'hypot';
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4 | var dependencies = ['typed', 'abs', 'addScalar', 'divideScalar', 'multiplyScalar', 'sqrt', 'smaller', 'isPositive'];
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5 | export var createHypot = /* #__PURE__ */factory(name, dependencies, (_ref) => {
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6 | var {
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7 | typed,
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8 | abs,
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9 | addScalar,
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10 | divideScalar,
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11 | multiplyScalar,
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12 | sqrt,
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13 | smaller,
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14 | isPositive
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15 | } = _ref;
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16 |
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17 | /**
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18 | * Calculate the hypotenusa of a list with values. The hypotenusa is defined as:
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19 | *
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20 | * hypot(a, b, c, ...) = sqrt(a^2 + b^2 + c^2 + ...)
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21 | *
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22 | * For matrix input, the hypotenusa is calculated for all values in the matrix.
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23 | *
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24 | * Syntax:
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25 | *
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26 | * math.hypot(a, b, ...)
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27 | * math.hypot([a, b, c, ...])
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28 | *
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29 | * Examples:
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30 | *
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31 | * math.hypot(3, 4) // 5
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32 | * math.hypot(3, 4, 5) // 7.0710678118654755
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33 | * math.hypot([3, 4, 5]) // 7.0710678118654755
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34 | * math.hypot(-2) // 2
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35 | *
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36 | * See also:
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37 | *
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38 | * abs, norm
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39 | *
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40 | * @param {... number | BigNumber | Array | Matrix} args A list with numeric values or an Array or Matrix.
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41 | * Matrix and Array input is flattened and returns a
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42 | * single number for the whole matrix.
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43 | * @return {number | BigNumber} Returns the hypothenusa of the input values.
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44 | */
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45 | return typed(name, {
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46 | '... number | BigNumber': _hypot,
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47 | Array: function Array(x) {
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48 | return this.apply(this, flatten(x));
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49 | },
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50 | Matrix: function Matrix(x) {
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51 | return this.apply(this, flatten(x.toArray()));
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52 | }
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53 | });
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54 | /**
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55 | * Calculate the hypotenusa for an Array with values
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56 | * @param {Array.<number | BigNumber>} args
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57 | * @return {number | BigNumber} Returns the result
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58 | * @private
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59 | */
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60 |
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61 | function _hypot(args) {
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62 | // code based on `hypot` from es6-shim:
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63 | // https://github.com/paulmillr/es6-shim/blob/master/es6-shim.js#L1619-L1633
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64 | var result = 0;
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65 | var largest = 0;
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66 |
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67 | for (var i = 0; i < args.length; i++) {
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68 | var value = abs(args[i]);
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69 |
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70 | if (smaller(largest, value)) {
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71 | result = multiplyScalar(result, multiplyScalar(divideScalar(largest, value), divideScalar(largest, value)));
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72 | result = addScalar(result, 1);
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73 | largest = value;
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74 | } else {
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75 | result = addScalar(result, isPositive(value) ? multiplyScalar(divideScalar(value, largest), divideScalar(value, largest)) : value);
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76 | }
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77 | }
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78 |
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79 | return multiplyScalar(largest, sqrt(result));
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80 | }
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81 | }); |
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