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'use strict'; | ||
require('../../modules/es.array.iterator'); | ||
require('../../modules/esnext.math.sum-precise'); | ||
var path = require('../../internals/path'); | ||
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module.exports = path.Math.sumPrecise; |
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'use strict'; | ||
// based on Shewchuk's algorithm for exactly floating point addition | ||
// adapted from https://github.com/tc39/proposal-math-sum/blob/3513d58323a1ae25560e8700aa5294500c6c9287/polyfill/polyfill.mjs | ||
var $ = require('../internals/export'); | ||
var uncurryThis = require('../internals/function-uncurry-this'); | ||
var iterate = require('../internals/iterate'); | ||
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var $RangeError = RangeError; | ||
var $TypeError = TypeError; | ||
var $Infinity = Infinity; | ||
var $NaN = NaN; | ||
var abs = Math.abs; | ||
var pow = Math.pow; | ||
var push = uncurryThis([].push); | ||
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var POW_2_1023 = pow(2, 1023); | ||
var MAX_SAFE_INTEGER = pow(2, 53) - 1; | ||
// exponent 11111111110, significand all 1s | ||
var MAX_DOUBLE = 1.79769313486231570815e+308; // 2 ** 1024 - 2 ** (1023 - 52) | ||
// exponent 11111111110, significand all 1s except final 0 | ||
var PENULTIMATE_DOUBLE = 1.79769313486231550856e+308; // 2 ** 1024 - 2 * 2 ** (1023 - 52) | ||
// exponent 11111001010, significand all 0s | ||
var MAX_ULP = MAX_DOUBLE - PENULTIMATE_DOUBLE; // 1.99584030953471981166e+292, <- 2 ** (1023 - 52) | ||
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var NOT_A_NUMBER = {}; | ||
var MINUS_INFINITY = {}; | ||
var PLUS_INFINITY = {}; | ||
var MINUS_ZERO = {}; | ||
var FINITE = {}; | ||
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// prerequisite: abs(x) >= abs(y) | ||
var twosum = function (x, y) { | ||
var hi = x + y; | ||
var lo = y - (hi - x); | ||
return { hi: hi, lo: lo }; | ||
}; | ||
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// `Math.sumPrecise` method | ||
// https://github.com/tc39/proposal-math-sum | ||
$({ target: 'Math', stat: true, forced: true }, { | ||
// eslint-disable-next-line max-statements -- ok | ||
sumPrecise: function sumPrecise(items) { | ||
var numbers = []; | ||
var count = 0; | ||
var state = MINUS_ZERO; | ||
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iterate(items, function (n) { | ||
if (++count >= MAX_SAFE_INTEGER) throw new $RangeError('Maximum allowed index exceeded'); | ||
if (typeof n != 'number') throw new $TypeError('Value is not a number'); | ||
if (state !== NOT_A_NUMBER) { | ||
// eslint-disable-next-line no-self-compare -- NaN check | ||
if (n !== n) state = NOT_A_NUMBER; | ||
else if (n === $Infinity) state = state === MINUS_INFINITY ? NOT_A_NUMBER : PLUS_INFINITY; | ||
else if (n === -$Infinity) state = state === PLUS_INFINITY ? NOT_A_NUMBER : MINUS_INFINITY; | ||
else if ((n !== 0 || (1 / n) === $Infinity) && (state === MINUS_ZERO || state === FINITE)) { | ||
state = FINITE; | ||
push(numbers, n); | ||
} | ||
} | ||
}); | ||
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switch (state) { | ||
case NOT_A_NUMBER: return $NaN; | ||
case MINUS_INFINITY: return -$Infinity; | ||
case PLUS_INFINITY: return $Infinity; | ||
case MINUS_ZERO: return -0; | ||
} | ||
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var partials = []; | ||
var overflow = 0; // conceptually 2**1024 times this value; the final partial is biased by this amount | ||
var x, y, sum, hi, lo, tmp; | ||
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for (var i = 0; i < numbers.length; i++) { | ||
x = numbers[i]; | ||
var actuallyUsedPartials = 0; | ||
for (var j = 0; j < partials.length; j++) { | ||
y = partials[j]; | ||
if (abs(x) < abs(y)) { | ||
tmp = x; | ||
x = y; | ||
y = tmp; | ||
} | ||
sum = twosum(x, y); | ||
hi = sum.hi; | ||
lo = sum.lo; | ||
if (abs(hi) === $Infinity) { | ||
var sign = hi === $Infinity ? 1 : -1; | ||
overflow += sign; | ||
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x = (x - (sign * POW_2_1023)) - (sign * POW_2_1023); | ||
if (abs(x) < abs(y)) { | ||
tmp = x; | ||
x = y; | ||
y = tmp; | ||
} | ||
sum = twosum(x, y); | ||
hi = sum.hi; | ||
lo = sum.lo; | ||
} | ||
if (lo !== 0) { | ||
partials[actuallyUsedPartials] = lo; | ||
actuallyUsedPartials += 1; | ||
} | ||
x = hi; | ||
} | ||
partials.length = actuallyUsedPartials; | ||
if (x !== 0) partials[partials.length] = x; | ||
} | ||
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// compute the exact sum of partials, stopping once we lose precision | ||
var n = partials.length - 1; | ||
hi = 0; | ||
lo = 0; | ||
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if (overflow !== 0) { | ||
var next = n >= 0 ? partials[n] : 0; | ||
n -= 1; | ||
if (abs(overflow) > 1 || (overflow > 0 && next > 0) || (overflow < 0 && next < 0)) { | ||
return overflow > 0 ? $Infinity : -$Infinity; | ||
} | ||
// here we actually have to do the arithmetic | ||
// drop a factor of 2 so we can do it without overflow | ||
// assert(abs(overflow) === 1) | ||
sum = twosum(overflow * POW_2_1023, next / 2); | ||
hi = sum.hi; | ||
lo = sum.lo; | ||
lo *= 2; | ||
if (abs(2 * hi) === $Infinity) { | ||
// rounding to the maximum value | ||
if (hi > 0) { | ||
return (hi === POW_2_1023 && lo === -(MAX_ULP / 2) && n >= 0 && partials[n] < 0) ? MAX_DOUBLE : $Infinity; | ||
} return (hi === -POW_2_1023 && lo === (MAX_ULP / 2) && n >= 0 && partials[n] > 0) ? -MAX_DOUBLE : -$Infinity; | ||
} | ||
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if (lo !== 0) { | ||
partials[n + 1] = lo; | ||
n += 1; | ||
lo = 0; | ||
} | ||
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hi *= 2; | ||
} | ||
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while (n >= 0) { | ||
x = hi; | ||
y = partials[n]; | ||
n -= 1; | ||
sum = twosum(x, y); | ||
hi = sum.hi; | ||
lo = sum.lo; | ||
if (lo !== 0) break; | ||
} | ||
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if (n >= 0 && ((lo < 0.0 && partials[n] < 0.0) || (lo > 0.0 && partials[n] > 0.0))) { | ||
y = lo * 2.0; | ||
x = hi + y; | ||
if (y === x - hi) hi = x; | ||
} | ||
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return hi; | ||
} | ||
}); |
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'use strict'; | ||
// https://github.com/tc39/proposal-math-sum | ||
require('../modules/esnext.math.sum-precise'); |
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@@ -1,6 +1,7 @@ | ||
'use strict'; | ||
var parent = require('./3'); | ||
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require('../proposals/math-sum'); | ||
require('../proposals/promise-try'); | ||
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module.exports = parent; |
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