1 | ;
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2 |
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3 | Object.defineProperty(exports, "__esModule", {
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4 | value: true
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5 | });
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6 | exports.isInteger = isInteger;
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7 | exports.format = format;
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8 | exports.splitNumber = splitNumber;
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9 | exports.toEngineering = toEngineering;
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10 | exports.toFixed = toFixed;
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11 | exports.toExponential = toExponential;
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12 | exports.toPrecision = toPrecision;
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13 | exports.roundDigits = roundDigits;
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14 | exports.digits = digits;
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15 | exports.nearlyEqual = nearlyEqual;
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16 | exports.tanh = exports.sinh = exports.cosh = exports.atanh = exports.asinh = exports.acosh = exports.DBL_EPSILON = exports.expm1 = exports.cbrt = exports.log1p = exports.log10 = exports.log2 = exports.sign = void 0;
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17 |
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18 | var _object = require("./object");
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19 |
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20 | var _is = require("./is");
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21 |
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22 | function isInteger(value) {
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23 | if (typeof value === 'boolean') {
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24 | return true;
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25 | }
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26 |
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27 | return isFinite(value) ? value === Math.round(value) : false; // Note: we use ==, not ===, as we can have Booleans as well
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28 | }
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29 | /**
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30 | * Calculate the sign of a number
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31 | * @param {number} x
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32 | * @returns {number}
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33 | */
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34 |
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35 |
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36 | var sign =
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37 | /* #__PURE__ */
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38 | Math.sign || function (x) {
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39 | if (x > 0) {
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40 | return 1;
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41 | } else if (x < 0) {
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42 | return -1;
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43 | } else {
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44 | return 0;
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45 | }
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46 | };
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47 | /**
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48 | * Calculate the base-2 logarithm of a number
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49 | * @param {number} x
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50 | * @returns {number}
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51 | */
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52 |
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53 |
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54 | exports.sign = sign;
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55 |
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56 | var log2 =
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57 | /* #__PURE__ */
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58 | Math.log2 || function log2(x) {
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59 | return Math.log(x) / Math.LN2;
|
60 | };
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61 | /**
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62 | * Calculate the base-10 logarithm of a number
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63 | * @param {number} x
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64 | * @returns {number}
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65 | */
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66 |
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67 |
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68 | exports.log2 = log2;
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69 |
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70 | var log10 =
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71 | /* #__PURE__ */
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72 | Math.log10 || function log10(x) {
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73 | return Math.log(x) / Math.LN10;
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74 | };
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75 | /**
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76 | * Calculate the natural logarithm of a number + 1
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77 | * @param {number} x
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78 | * @returns {number}
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79 | */
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80 |
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81 |
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82 | exports.log10 = log10;
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83 |
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84 | var log1p =
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85 | /* #__PURE__ */
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86 | Math.log1p || function (x) {
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87 | return Math.log(x + 1);
|
88 | };
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89 | /**
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90 | * Calculate cubic root for a number
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91 | *
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92 | * Code from es6-shim.js:
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93 | * https://github.com/paulmillr/es6-shim/blob/master/es6-shim.js#L1564-L1577
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94 | *
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95 | * @param {number} x
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96 | * @returns {number} Returns the cubic root of x
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97 | */
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98 |
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99 |
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100 | exports.log1p = log1p;
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101 |
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102 | var cbrt =
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103 | /* #__PURE__ */
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104 | Math.cbrt || function cbrt(x) {
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105 | if (x === 0) {
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106 | return x;
|
107 | }
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108 |
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109 | var negate = x < 0;
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110 | var result;
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111 |
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112 | if (negate) {
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113 | x = -x;
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114 | }
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115 |
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116 | if (isFinite(x)) {
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117 | result = Math.exp(Math.log(x) / 3); // from https://en.wikipedia.org/wiki/Cube_root#Numerical_methods
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118 |
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119 | result = (x / (result * result) + 2 * result) / 3;
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120 | } else {
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121 | result = x;
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122 | }
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123 |
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124 | return negate ? -result : result;
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125 | };
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126 | /**
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127 | * Calculates exponentiation minus 1
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128 | * @param {number} x
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129 | * @return {number} res
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130 | */
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131 |
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132 |
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133 | exports.cbrt = cbrt;
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134 |
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135 | var expm1 =
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136 | /* #__PURE__ */
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137 | Math.expm1 || function expm1(x) {
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138 | return x >= 2e-4 || x <= -2e-4 ? Math.exp(x) - 1 : x + x * x / 2 + x * x * x / 6;
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139 | };
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140 | /**
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141 | * Convert a number to a formatted string representation.
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142 | *
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143 | * Syntax:
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144 | *
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145 | * format(value)
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146 | * format(value, options)
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147 | * format(value, precision)
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148 | * format(value, fn)
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149 | *
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150 | * Where:
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151 | *
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152 | * {number} value The value to be formatted
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153 | * {Object} options An object with formatting options. Available options:
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154 | * {string} notation
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155 | * Number notation. Choose from:
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156 | * 'fixed' Always use regular number notation.
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157 | * For example '123.40' and '14000000'
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158 | * 'exponential' Always use exponential notation.
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159 | * For example '1.234e+2' and '1.4e+7'
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160 | * 'engineering' Always use engineering notation.
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161 | * For example '123.4e+0' and '14.0e+6'
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162 | * 'auto' (default) Regular number notation for numbers
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163 | * having an absolute value between
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164 | * `lowerExp` and `upperExp` bounds, and
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165 | * uses exponential notation elsewhere.
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166 | * Lower bound is included, upper bound
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167 | * is excluded.
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168 | * For example '123.4' and '1.4e7'.
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169 | * {number} precision A number between 0 and 16 to round
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170 | * the digits of the number.
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171 | * In case of notations 'exponential',
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172 | * 'engineering', and 'auto',
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173 | * `precision` defines the total
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174 | * number of significant digits returned.
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175 | * In case of notation 'fixed',
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176 | * `precision` defines the number of
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177 | * significant digits after the decimal
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178 | * point.
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179 | * `precision` is undefined by default,
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180 | * not rounding any digits.
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181 | * {number} lowerExp Exponent determining the lower boundary
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182 | * for formatting a value with an exponent
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183 | * when `notation='auto`.
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184 | * Default value is `-3`.
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185 | * {number} upperExp Exponent determining the upper boundary
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186 | * for formatting a value with an exponent
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187 | * when `notation='auto`.
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188 | * Default value is `5`.
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189 | * {Function} fn A custom formatting function. Can be used to override the
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190 | * built-in notations. Function `fn` is called with `value` as
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191 | * parameter and must return a string. Is useful for example to
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192 | * format all values inside a matrix in a particular way.
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193 | *
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194 | * Examples:
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195 | *
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196 | * format(6.4) // '6.4'
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197 | * format(1240000) // '1.24e6'
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198 | * format(1/3) // '0.3333333333333333'
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199 | * format(1/3, 3) // '0.333'
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200 | * format(21385, 2) // '21000'
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201 | * format(12.071, {notation: 'fixed'}) // '12'
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202 | * format(2.3, {notation: 'fixed', precision: 2}) // '2.30'
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203 | * format(52.8, {notation: 'exponential'}) // '5.28e+1'
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204 | * format(12345678, {notation: 'engineering'}) // '12.345678e+6'
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205 | *
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206 | * @param {number} value
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207 | * @param {Object | Function | number} [options]
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208 | * @return {string} str The formatted value
|
209 | */
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210 |
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211 |
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212 | exports.expm1 = expm1;
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213 |
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214 | function format(value, options) {
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215 | if (typeof options === 'function') {
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216 | // handle format(value, fn)
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217 | return options(value);
|
218 | } // handle special cases
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219 |
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220 |
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221 | if (value === Infinity) {
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222 | return 'Infinity';
|
223 | } else if (value === -Infinity) {
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224 | return '-Infinity';
|
225 | } else if (isNaN(value)) {
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226 | return 'NaN';
|
227 | } // default values for options
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228 |
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229 |
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230 | var notation = 'auto';
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231 | var precision;
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232 |
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233 | if (options) {
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234 | // determine notation from options
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235 | if (options.notation) {
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236 | notation = options.notation;
|
237 | } // determine precision from options
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238 |
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239 |
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240 | if ((0, _is.isNumber)(options)) {
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241 | precision = options;
|
242 | } else if ((0, _is.isNumber)(options.precision)) {
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243 | precision = options.precision;
|
244 | }
|
245 | } // handle the various notations
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246 |
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247 |
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248 | switch (notation) {
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249 | case 'fixed':
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250 | return toFixed(value, precision);
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251 |
|
252 | case 'exponential':
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253 | return toExponential(value, precision);
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254 |
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255 | case 'engineering':
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256 | return toEngineering(value, precision);
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257 |
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258 | case 'auto':
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259 | // TODO: clean up some day. Deprecated since: 2018-01-24
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260 | // @deprecated upper and lower are replaced with upperExp and lowerExp since v4.0.0
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261 | if (options && options.exponential && (options.exponential.lower !== undefined || options.exponential.upper !== undefined)) {
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262 | var fixedOptions = (0, _object.mapObject)(options, function (x) {
|
263 | return x;
|
264 | });
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265 | fixedOptions.exponential = undefined;
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266 |
|
267 | if (options.exponential.lower !== undefined) {
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268 | fixedOptions.lowerExp = Math.round(Math.log(options.exponential.lower) / Math.LN10);
|
269 | }
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270 |
|
271 | if (options.exponential.upper !== undefined) {
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272 | fixedOptions.upperExp = Math.round(Math.log(options.exponential.upper) / Math.LN10);
|
273 | }
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274 |
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275 | console.warn('Deprecation warning: Formatting options exponential.lower and exponential.upper ' + '(minimum and maximum value) ' + 'are replaced with exponential.lowerExp and exponential.upperExp ' + '(minimum and maximum exponent) since version 4.0.0. ' + 'Replace ' + JSON.stringify(options) + ' with ' + JSON.stringify(fixedOptions));
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276 | return toPrecision(value, precision, fixedOptions);
|
277 | } // remove trailing zeros after the decimal point
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278 |
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279 |
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280 | return toPrecision(value, precision, options && options).replace(/((\.\d*?)(0+))($|e)/, function () {
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281 | var digits = arguments[2];
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282 | var e = arguments[4];
|
283 | return digits !== '.' ? digits + e : e;
|
284 | });
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285 |
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286 | default:
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287 | throw new Error('Unknown notation "' + notation + '". ' + 'Choose "auto", "exponential", or "fixed".');
|
288 | }
|
289 | }
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290 | /**
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291 | * Split a number into sign, coefficients, and exponent
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292 | * @param {number | string} value
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293 | * @return {SplitValue}
|
294 | * Returns an object containing sign, coefficients, and exponent
|
295 | */
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296 |
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297 |
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298 | function splitNumber(value) {
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299 | // parse the input value
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300 | var match = String(value).toLowerCase().match(/^0*?(-?)(\d+\.?\d*)(e([+-]?\d+))?$/);
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301 |
|
302 | if (!match) {
|
303 | throw new SyntaxError('Invalid number ' + value);
|
304 | }
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305 |
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306 | var sign = match[1];
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307 | var digits = match[2];
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308 | var exponent = parseFloat(match[4] || '0');
|
309 | var dot = digits.indexOf('.');
|
310 | exponent += dot !== -1 ? dot - 1 : digits.length - 1;
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311 | var coefficients = digits.replace('.', '') // remove the dot (must be removed before removing leading zeros)
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312 | .replace(/^0*/, function (zeros) {
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313 | // remove leading zeros, add their count to the exponent
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314 | exponent -= zeros.length;
|
315 | return '';
|
316 | }).replace(/0*$/, '') // remove trailing zeros
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317 | .split('').map(function (d) {
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318 | return parseInt(d);
|
319 | });
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320 |
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321 | if (coefficients.length === 0) {
|
322 | coefficients.push(0);
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323 | exponent++;
|
324 | }
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325 |
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326 | return {
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327 | sign: sign,
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328 | coefficients: coefficients,
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329 | exponent: exponent
|
330 | };
|
331 | }
|
332 | /**
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333 | * Format a number in engineering notation. Like '1.23e+6', '2.3e+0', '3.500e-3'
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334 | * @param {number | string} value
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335 | * @param {number} [precision] Optional number of significant figures to return.
|
336 | */
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337 |
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338 |
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339 | function toEngineering(value, precision) {
|
340 | if (isNaN(value) || !isFinite(value)) {
|
341 | return String(value);
|
342 | }
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343 |
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344 | var rounded = roundDigits(splitNumber(value), precision);
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345 | var e = rounded.exponent;
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346 | var c = rounded.coefficients; // find nearest lower multiple of 3 for exponent
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347 |
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348 | var newExp = e % 3 === 0 ? e : e < 0 ? e - 3 - e % 3 : e - e % 3;
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349 |
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350 | if ((0, _is.isNumber)(precision)) {
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351 | // add zeroes to give correct sig figs
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352 | while (precision > c.length || e - newExp + 1 > c.length) {
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353 | c.push(0);
|
354 | }
|
355 | } else {
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356 | // concatenate coefficients with necessary zeros
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357 | var significandsDiff = e >= 0 ? e : Math.abs(newExp); // add zeros if necessary (for ex: 1e+8)
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358 |
|
359 | while (c.length - 1 < significandsDiff) {
|
360 | c.push(0);
|
361 | }
|
362 | } // find difference in exponents
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363 |
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364 |
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365 | var expDiff = Math.abs(e - newExp);
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366 | var decimalIdx = 1; // push decimal index over by expDiff times
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367 |
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368 | while (expDiff > 0) {
|
369 | decimalIdx++;
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370 | expDiff--;
|
371 | } // if all coefficient values are zero after the decimal point and precision is unset, don't add a decimal value.
|
372 | // otherwise concat with the rest of the coefficients
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373 |
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374 |
|
375 | var decimals = c.slice(decimalIdx).join('');
|
376 | var decimalVal = (0, _is.isNumber)(precision) && decimals.length || decimals.match(/[1-9]/) ? '.' + decimals : '';
|
377 | var str = c.slice(0, decimalIdx).join('') + decimalVal + 'e' + (e >= 0 ? '+' : '') + newExp.toString();
|
378 | return rounded.sign + str;
|
379 | }
|
380 | /**
|
381 | * Format a number with fixed notation.
|
382 | * @param {number | string} value
|
383 | * @param {number} [precision=undefined] Optional number of decimals after the
|
384 | * decimal point. null by default.
|
385 | */
|
386 |
|
387 |
|
388 | function toFixed(value, precision) {
|
389 | if (isNaN(value) || !isFinite(value)) {
|
390 | return String(value);
|
391 | }
|
392 |
|
393 | var splitValue = splitNumber(value);
|
394 | var rounded = typeof precision === 'number' ? roundDigits(splitValue, splitValue.exponent + 1 + precision) : splitValue;
|
395 | var c = rounded.coefficients;
|
396 | var p = rounded.exponent + 1; // exponent may have changed
|
397 | // append zeros if needed
|
398 |
|
399 | var pp = p + (precision || 0);
|
400 |
|
401 | if (c.length < pp) {
|
402 | c = c.concat(zeros(pp - c.length));
|
403 | } // prepend zeros if needed
|
404 |
|
405 |
|
406 | if (p < 0) {
|
407 | c = zeros(-p + 1).concat(c);
|
408 | p = 1;
|
409 | } // insert a dot if needed
|
410 |
|
411 |
|
412 | if (p < c.length) {
|
413 | c.splice(p, 0, p === 0 ? '0.' : '.');
|
414 | }
|
415 |
|
416 | return rounded.sign + c.join('');
|
417 | }
|
418 | /**
|
419 | * Format a number in exponential notation. Like '1.23e+5', '2.3e+0', '3.500e-3'
|
420 | * @param {number | string} value
|
421 | * @param {number} [precision] Number of digits in formatted output.
|
422 | * If not provided, the maximum available digits
|
423 | * is used.
|
424 | */
|
425 |
|
426 |
|
427 | function toExponential(value, precision) {
|
428 | if (isNaN(value) || !isFinite(value)) {
|
429 | return String(value);
|
430 | } // round if needed, else create a clone
|
431 |
|
432 |
|
433 | var split = splitNumber(value);
|
434 | var rounded = precision ? roundDigits(split, precision) : split;
|
435 | var c = rounded.coefficients;
|
436 | var e = rounded.exponent; // append zeros if needed
|
437 |
|
438 | if (c.length < precision) {
|
439 | c = c.concat(zeros(precision - c.length));
|
440 | } // format as `C.CCCe+EEE` or `C.CCCe-EEE`
|
441 |
|
442 |
|
443 | var first = c.shift();
|
444 | return rounded.sign + first + (c.length > 0 ? '.' + c.join('') : '') + 'e' + (e >= 0 ? '+' : '') + e;
|
445 | }
|
446 | /**
|
447 | * Format a number with a certain precision
|
448 | * @param {number | string} value
|
449 | * @param {number} [precision=undefined] Optional number of digits.
|
450 | * @param {{lowerExp: number | undefined, upperExp: number | undefined}} [options]
|
451 | * By default:
|
452 | * lowerExp = -3 (incl)
|
453 | * upper = +5 (excl)
|
454 | * @return {string}
|
455 | */
|
456 |
|
457 |
|
458 | function toPrecision(value, precision, options) {
|
459 | if (isNaN(value) || !isFinite(value)) {
|
460 | return String(value);
|
461 | } // determine lower and upper bound for exponential notation.
|
462 |
|
463 |
|
464 | var lowerExp = options && options.lowerExp !== undefined ? options.lowerExp : -3;
|
465 | var upperExp = options && options.upperExp !== undefined ? options.upperExp : 5;
|
466 | var split = splitNumber(value);
|
467 | var rounded = precision ? roundDigits(split, precision) : split;
|
468 |
|
469 | if (rounded.exponent < lowerExp || rounded.exponent >= upperExp) {
|
470 | // exponential notation
|
471 | return toExponential(value, precision);
|
472 | } else {
|
473 | var c = rounded.coefficients;
|
474 | var e = rounded.exponent; // append trailing zeros
|
475 |
|
476 | if (c.length < precision) {
|
477 | c = c.concat(zeros(precision - c.length));
|
478 | } // append trailing zeros
|
479 | // TODO: simplify the next statement
|
480 |
|
481 |
|
482 | c = c.concat(zeros(e - c.length + 1 + (c.length < precision ? precision - c.length : 0))); // prepend zeros
|
483 |
|
484 | c = zeros(-e).concat(c);
|
485 | var dot = e > 0 ? e : 0;
|
486 |
|
487 | if (dot < c.length - 1) {
|
488 | c.splice(dot + 1, 0, '.');
|
489 | }
|
490 |
|
491 | return rounded.sign + c.join('');
|
492 | }
|
493 | }
|
494 | /**
|
495 | * Round the number of digits of a number *
|
496 | * @param {SplitValue} split A value split with .splitNumber(value)
|
497 | * @param {number} precision A positive integer
|
498 | * @return {SplitValue}
|
499 | * Returns an object containing sign, coefficients, and exponent
|
500 | * with rounded digits
|
501 | */
|
502 |
|
503 |
|
504 | function roundDigits(split, precision) {
|
505 | // create a clone
|
506 | var rounded = {
|
507 | sign: split.sign,
|
508 | coefficients: split.coefficients,
|
509 | exponent: split.exponent
|
510 | };
|
511 | var c = rounded.coefficients; // prepend zeros if needed
|
512 |
|
513 | while (precision <= 0) {
|
514 | c.unshift(0);
|
515 | rounded.exponent++;
|
516 | precision++;
|
517 | }
|
518 |
|
519 | if (c.length > precision) {
|
520 | var removed = c.splice(precision, c.length - precision);
|
521 |
|
522 | if (removed[0] >= 5) {
|
523 | var i = precision - 1;
|
524 | c[i]++;
|
525 |
|
526 | while (c[i] === 10) {
|
527 | c.pop();
|
528 |
|
529 | if (i === 0) {
|
530 | c.unshift(0);
|
531 | rounded.exponent++;
|
532 | i++;
|
533 | }
|
534 |
|
535 | i--;
|
536 | c[i]++;
|
537 | }
|
538 | }
|
539 | }
|
540 |
|
541 | return rounded;
|
542 | }
|
543 | /**
|
544 | * Create an array filled with zeros.
|
545 | * @param {number} length
|
546 | * @return {Array}
|
547 | */
|
548 |
|
549 |
|
550 | function zeros(length) {
|
551 | var arr = [];
|
552 |
|
553 | for (var i = 0; i < length; i++) {
|
554 | arr.push(0);
|
555 | }
|
556 |
|
557 | return arr;
|
558 | }
|
559 | /**
|
560 | * Count the number of significant digits of a number.
|
561 | *
|
562 | * For example:
|
563 | * 2.34 returns 3
|
564 | * 0.0034 returns 2
|
565 | * 120.5e+30 returns 4
|
566 | *
|
567 | * @param {number} value
|
568 | * @return {number} digits Number of significant digits
|
569 | */
|
570 |
|
571 |
|
572 | function digits(value) {
|
573 | return value.toExponential().replace(/e.*$/, '') // remove exponential notation
|
574 | .replace(/^0\.?0*|\./, '') // remove decimal point and leading zeros
|
575 | .length;
|
576 | }
|
577 | /**
|
578 | * Minimum number added to one that makes the result different than one
|
579 | */
|
580 |
|
581 |
|
582 | var DBL_EPSILON = Number.EPSILON || 2.2204460492503130808472633361816E-16;
|
583 | /**
|
584 | * Compares two floating point numbers.
|
585 | * @param {number} x First value to compare
|
586 | * @param {number} y Second value to compare
|
587 | * @param {number} [epsilon] The maximum relative difference between x and y
|
588 | * If epsilon is undefined or null, the function will
|
589 | * test whether x and y are exactly equal.
|
590 | * @return {boolean} whether the two numbers are nearly equal
|
591 | */
|
592 |
|
593 | exports.DBL_EPSILON = DBL_EPSILON;
|
594 |
|
595 | function nearlyEqual(x, y, epsilon) {
|
596 | // if epsilon is null or undefined, test whether x and y are exactly equal
|
597 | if (epsilon === null || epsilon === undefined) {
|
598 | return x === y;
|
599 | }
|
600 |
|
601 | if (x === y) {
|
602 | return true;
|
603 | } // NaN
|
604 |
|
605 |
|
606 | if (isNaN(x) || isNaN(y)) {
|
607 | return false;
|
608 | } // at this point x and y should be finite
|
609 |
|
610 |
|
611 | if (isFinite(x) && isFinite(y)) {
|
612 | // check numbers are very close, needed when comparing numbers near zero
|
613 | var diff = Math.abs(x - y);
|
614 |
|
615 | if (diff < DBL_EPSILON) {
|
616 | return true;
|
617 | } else {
|
618 | // use relative error
|
619 | return diff <= Math.max(Math.abs(x), Math.abs(y)) * epsilon;
|
620 | }
|
621 | } // Infinite and Number or negative Infinite and positive Infinite cases
|
622 |
|
623 |
|
624 | return false;
|
625 | }
|
626 | /**
|
627 | * Calculate the hyperbolic arccos of a number
|
628 | * @param {number} x
|
629 | * @return {number}
|
630 | */
|
631 |
|
632 |
|
633 | var acosh = Math.acosh || function (x) {
|
634 | return Math.log(Math.sqrt(x * x - 1) + x);
|
635 | };
|
636 |
|
637 | exports.acosh = acosh;
|
638 |
|
639 | var asinh = Math.asinh || function (x) {
|
640 | return Math.log(Math.sqrt(x * x + 1) + x);
|
641 | };
|
642 | /**
|
643 | * Calculate the hyperbolic arctangent of a number
|
644 | * @param {number} x
|
645 | * @return {number}
|
646 | */
|
647 |
|
648 |
|
649 | exports.asinh = asinh;
|
650 |
|
651 | var atanh = Math.atanh || function (x) {
|
652 | return Math.log((1 + x) / (1 - x)) / 2;
|
653 | };
|
654 | /**
|
655 | * Calculate the hyperbolic cosine of a number
|
656 | * @param {number} x
|
657 | * @returns {number}
|
658 | */
|
659 |
|
660 |
|
661 | exports.atanh = atanh;
|
662 |
|
663 | var cosh = Math.cosh || function (x) {
|
664 | return (Math.exp(x) + Math.exp(-x)) / 2;
|
665 | };
|
666 | /**
|
667 | * Calculate the hyperbolic sine of a number
|
668 | * @param {number} x
|
669 | * @returns {number}
|
670 | */
|
671 |
|
672 |
|
673 | exports.cosh = cosh;
|
674 |
|
675 | var sinh = Math.sinh || function (x) {
|
676 | return (Math.exp(x) - Math.exp(-x)) / 2;
|
677 | };
|
678 | /**
|
679 | * Calculate the hyperbolic tangent of a number
|
680 | * @param {number} x
|
681 | * @returns {number}
|
682 | */
|
683 |
|
684 |
|
685 | exports.sinh = sinh;
|
686 |
|
687 | var tanh = Math.tanh || function (x) {
|
688 | var e = Math.exp(2 * x);
|
689 | return (e - 1) / (e + 1);
|
690 | };
|
691 |
|
692 | exports.tanh = tanh; |
\ | No newline at end of file |