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Decimal Rounding - Exponential notation vs Number.EPSILON vs Double rounding vs Double rounding v2 #jsbench (http://jsbench.github.io/#31ec3a8b3d22bd840f8e6822e681a3ac) #jsbench #jsperf
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8"/>
<title>Decimal Rounding - Exponential notation vs Number.EPSILON vs Double rounding vs Double rounding v2 #jsbench</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/benchmark/1.0.0/benchmark.min.js"></script>
<script src="./suite.js"></script>
</head>
<body>
<h1>Open the console to view the results</h1>
<h2><code>cmd + alt + j</code> or <code>ctrl + alt + j</code></h2>
</body>
</html>
"use strict";
(function (factory) {
if (typeof Benchmark !== "undefined") {
factory(Benchmark);
} else {
factory(require("benchmark"));
}
})(function (Benchmark) {
var suite = new Benchmark.Suite;
Benchmark.prototype.setup = function () {
// Solution 1
var DecimalPrecision = (function() {
if (Math.trunc === undefined) {
Math.trunc = function(v) {
return v < 0 ? Math.ceil(v) : Math.floor(v);
};
}
var decimalAdjust = function myself(type, num, decimalPlaces) {
if (type === 'round' && num < 0)
return -myself(type, -num, decimalPlaces);
var shift = function(value, exponent) {
value = (value + 'e').split('e');
return +(value[0] + 'e' + (+value[1] + (exponent || 0)));
};
var n = shift(num, +decimalPlaces);
return shift(Math[type](n), -decimalPlaces);
};
return {
// Decimal round (half away from zero)
round: function(num, decimalPlaces) {
return decimalAdjust('round', num, decimalPlaces);
},
// Decimal ceil
ceil: function(num, decimalPlaces) {
return decimalAdjust('ceil', num, decimalPlaces);
},
// Decimal floor
floor: function(num, decimalPlaces) {
return decimalAdjust('floor', num, decimalPlaces);
},
// Decimal trunc
trunc: function(num, decimalPlaces) {
return decimalAdjust('trunc', num, decimalPlaces);
},
// Format using fixed-point notation
toFixed: function(num, decimalPlaces) {
return decimalAdjust('round', num, decimalPlaces).toFixed(decimalPlaces);
}
};
})();
// Solution 2
var DecimalPrecision2 = (function() {
if (Number.EPSILON === undefined) {
Number.EPSILON = Math.pow(2, -52);
}
if (Math.sign === undefined) {
Math.sign = function(x) {
return ((x > 0) - (x < 0)) || +x;
};
}
return {
// Decimal round (half away from zero)
round: function(num, decimalPlaces) {
var p = Math.pow(10, decimalPlaces || 0);
var n = (num * p) * (1 + Number.EPSILON);
return Math.round(n) / p;
},
// Decimal ceil
ceil: function(num, decimalPlaces) {
var p = Math.pow(10, decimalPlaces || 0);
var n = (num * p) * (1 - Math.sign(num) * Number.EPSILON);
return Math.ceil(n) / p;
},
// Decimal floor
floor: function(num, decimalPlaces) {
var p = Math.pow(10, decimalPlaces || 0);
var n = (num * p) * (1 + Math.sign(num) * Number.EPSILON);
return Math.floor(n) / p;
},
// Decimal trunc
trunc: function(num, decimalPlaces) {
return (num < 0 ? this.ceil : this.floor)(num, decimalPlaces);
},
// Format using fixed-point notation
toFixed: function(num, decimalPlaces) {
return this.round(num, decimalPlaces).toFixed(decimalPlaces);
}
};
})();
// Solution 3
var DecimalPrecision3 = (function() {
if (Math.trunc === undefined) {
Math.trunc = function(v) {
return v < 0 ? Math.ceil(v) : Math.floor(v);
};
}
var powers = [
1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7,
1e8, 1e9, 1e10, 1e11, 1e12, 1e13, 1e14, 1e15,
1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22
];
var intpow10 = function(power) {
/* Not in lookup table */
if (power < 0 || power > 22) {
return Math.pow(10, power);
}
return powers[power];
};
// Eliminate binary floating-point inaccuracies.
var stripError = function(num) {
if (Number.isInteger(num))
return num;
return parseFloat(num.toPrecision(15));
};
var decimalAdjust = function myself(type, num, decimalPlaces) {
if (type === 'round' && num < 0)
return -myself(type, -num, decimalPlaces);
var p = intpow10(decimalPlaces || 0);
var n = stripError(num * p);
return Math[type](n) / p;
};
return {
// Decimal round (half away from zero)
round: function(num, decimalPlaces) {
return decimalAdjust('round', num, decimalPlaces);
},
// Decimal ceil
ceil: function(num, decimalPlaces) {
return decimalAdjust('ceil', num, decimalPlaces);
},
// Decimal floor
floor: function(num, decimalPlaces) {
return decimalAdjust('floor', num, decimalPlaces);
},
// Decimal trunc
trunc: function(num, decimalPlaces) {
return decimalAdjust('trunc', num, decimalPlaces);
},
// Format using fixed-point notation
toFixed: function(num, decimalPlaces) {
return decimalAdjust('round', num, decimalPlaces).toFixed(decimalPlaces);
}
};
})();
// Solution 4
var DecimalPrecision4 = (function() {
if (Math.trunc === undefined) {
Math.trunc = function(v) {
return v < 0 ? Math.ceil(v) : Math.floor(v);
};
}
var powers = [
1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7,
1e8, 1e9, 1e10, 1e11, 1e12, 1e13, 1e14, 1e15,
1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22
];
var intpow10 = function(power) {
/* Not in lookup table */
if (power < 0 || power > 22) {
return Math.pow(10, power);
}
return powers[power];
};
var toPrecision = function(num, significantDigits) {
// Return early for ±0, NaN and Infinity.
if (!num || !Number.isFinite(num))
return num;
// Compute shift of the decimal point (sf - leftSidedDigits).
var shift = significantDigits - 1 - Math.floor(Math.log10(Math.abs(num)));
// Return if rounding to the same or higher precision.
var decimalPlaces = 0;
for (var p = 1; num != Math.round(num * p) / p; p *= 10) decimalPlaces++;
if (shift >= decimalPlaces)
return num;
// Round to "shift" fractional digits
var scale = intpow10(Math.abs(shift));
return shift > 0 ?
Math.round(num * scale) / scale :
Math.round(num / scale) * scale;
};
// Eliminate binary floating-point inaccuracies.
var stripError = function(num) {
if (Number.isInteger(num))
return num;
return toPrecision(num, 15);
};
var decimalAdjust = function myself(type, num, decimalPlaces) {
if (type === 'round' && num < 0)
return -myself(type, -num, decimalPlaces);
var p = intpow10(decimalPlaces || 0);
var n = stripError(num * p);
return Math[type](n) / p;
};
return {
// Decimal round (half away from zero)
round: function(num, decimalPlaces) {
return decimalAdjust('round', num, decimalPlaces);
},
// Decimal ceil
ceil: function(num, decimalPlaces) {
return decimalAdjust('ceil', num, decimalPlaces);
},
// Decimal floor
floor: function(num, decimalPlaces) {
return decimalAdjust('floor', num, decimalPlaces);
},
// Decimal trunc
trunc: function(num, decimalPlaces) {
return decimalAdjust('trunc', num, decimalPlaces);
},
// Format using fixed-point notation
toFixed: function(num, decimalPlaces) {
return decimalAdjust('round', num, decimalPlaces).toFixed(decimalPlaces);
}
};
})();
};
suite.add("Solution 1 (Exponential notation)", function () {
/** Solution 1 (Exponential notation) **/
DecimalPrecision.round(0.5, 0);
DecimalPrecision.round(-0.5, 0);
DecimalPrecision.ceil(1e-8, 2);
DecimalPrecision.floor(1e-8, 2);
DecimalPrecision.round(5.12, 1);
DecimalPrecision.round(-5.12, 1);
DecimalPrecision.ceil(5.12, 1);
DecimalPrecision.ceil(-5.12, 1);
DecimalPrecision.floor(5.12, 1);
DecimalPrecision.floor(-5.12, 1);
DecimalPrecision.trunc(5.12, 1);
DecimalPrecision.trunc(-5.12, 1);
DecimalPrecision.round(1.005, 2);
DecimalPrecision.round(39.425, 2);
DecimalPrecision.round(-1.005, 2);
DecimalPrecision.round(-39.425, 2);
DecimalPrecision.ceil(9.130, 2);
DecimalPrecision.ceil(65.180, 2);
DecimalPrecision.ceil(-2.260, 2);
DecimalPrecision.ceil(-18.150, 2);
DecimalPrecision.floor(2.260, 2);
DecimalPrecision.floor(18.150, 2);
DecimalPrecision.floor(-9.130, 2);
DecimalPrecision.floor(-65.180, 2);
DecimalPrecision.trunc(2.260, 2);
DecimalPrecision.trunc(18.150, 2);
DecimalPrecision.trunc(-2.260, 2);
DecimalPrecision.trunc(-18.150, 2);
DecimalPrecision.round(1262.48, -1);
DecimalPrecision.round(1262.48, -2);
});
suite.add("Solution 2 (Number.EPSILON)", function () {
/** Solution 2 (Number.EPSILON) **/
DecimalPrecision2.round(0.5, 0);
DecimalPrecision2.round(-0.5, 0);
DecimalPrecision2.ceil(1e-8, 2);
DecimalPrecision2.floor(1e-8, 2);
DecimalPrecision2.round(5.12, 1);
DecimalPrecision2.round(-5.12, 1);
DecimalPrecision2.ceil(5.12, 1);
DecimalPrecision2.ceil(-5.12, 1);
DecimalPrecision2.floor(5.12, 1);
DecimalPrecision2.floor(-5.12, 1);
DecimalPrecision2.trunc(5.12, 1);
DecimalPrecision2.trunc(-5.12, 1);
DecimalPrecision2.round(1.005, 2);
DecimalPrecision2.round(39.425, 2);
DecimalPrecision2.round(-1.005, 2);
DecimalPrecision2.round(-39.425, 2);
DecimalPrecision2.ceil(9.130, 2);
DecimalPrecision2.ceil(65.180, 2);
DecimalPrecision2.ceil(-2.260, 2);
DecimalPrecision2.ceil(-18.150, 2);
DecimalPrecision2.floor(2.260, 2);
DecimalPrecision2.floor(18.150, 2);
DecimalPrecision2.floor(-9.130, 2);
DecimalPrecision2.floor(-65.180, 2);
DecimalPrecision2.trunc(2.260, 2);
DecimalPrecision2.trunc(18.150, 2);
DecimalPrecision2.trunc(-2.260, 2);
DecimalPrecision2.trunc(-18.150, 2);
DecimalPrecision2.round(1262.48, -1);
DecimalPrecision2.round(1262.48, -2);
});
suite.add("Solution 3 (Double rounding)", function () {
/** Solution 3 (Double rounding) **/
DecimalPrecision3.round(0.5, 0);
DecimalPrecision3.round(-0.5, 0);
DecimalPrecision3.ceil(1e-8, 2);
DecimalPrecision3.floor(1e-8, 2);
DecimalPrecision3.round(5.12, 1);
DecimalPrecision3.round(-5.12, 1);
DecimalPrecision3.ceil(5.12, 1);
DecimalPrecision3.ceil(-5.12, 1);
DecimalPrecision3.floor(5.12, 1);
DecimalPrecision3.floor(-5.12, 1);
DecimalPrecision3.trunc(5.12, 1);
DecimalPrecision3.trunc(-5.12, 1);
DecimalPrecision3.round(1.005, 2);
DecimalPrecision3.round(39.425, 2);
DecimalPrecision3.round(-1.005, 2);
DecimalPrecision3.round(-39.425, 2);
DecimalPrecision3.ceil(9.130, 2);
DecimalPrecision3.ceil(65.180, 2);
DecimalPrecision3.ceil(-2.260, 2);
DecimalPrecision3.ceil(-18.150, 2);
DecimalPrecision3.floor(2.260, 2);
DecimalPrecision3.floor(18.150, 2);
DecimalPrecision3.floor(-9.130, 2);
DecimalPrecision3.floor(-65.180, 2);
DecimalPrecision3.trunc(2.260, 2);
DecimalPrecision3.trunc(18.150, 2);
DecimalPrecision3.trunc(-2.260, 2);
DecimalPrecision3.trunc(-18.150, 2);
DecimalPrecision3.round(1262.48, -1);
DecimalPrecision3.round(1262.48, -2);
});
suite.add("Solution 4 (Double rounding v2)", function () {
/** Solution 4 (Double rounding v2) **/
DecimalPrecision4.round(0.5, 0);
DecimalPrecision4.round(-0.5, 0);
DecimalPrecision4.ceil(1e-8, 2);
DecimalPrecision4.floor(1e-8, 2);
DecimalPrecision4.round(5.12, 1);
DecimalPrecision4.round(-5.12, 1);
DecimalPrecision4.ceil(5.12, 1);
DecimalPrecision4.ceil(-5.12, 1);
DecimalPrecision4.floor(5.12, 1);
DecimalPrecision4.floor(-5.12, 1);
DecimalPrecision4.trunc(5.12, 1);
DecimalPrecision4.trunc(-5.12, 1);
DecimalPrecision4.round(1.005, 2);
DecimalPrecision4.round(39.425, 2);
DecimalPrecision4.round(-1.005, 2);
DecimalPrecision4.round(-39.425, 2);
DecimalPrecision4.ceil(9.130, 2);
DecimalPrecision4.ceil(65.180, 2);
DecimalPrecision4.ceil(-2.260, 2);
DecimalPrecision4.ceil(-18.150, 2);
DecimalPrecision4.floor(2.260, 2);
DecimalPrecision4.floor(18.150, 2);
DecimalPrecision4.floor(-9.130, 2);
DecimalPrecision4.floor(-65.180, 2);
DecimalPrecision4.trunc(2.260, 2);
DecimalPrecision4.trunc(18.150, 2);
DecimalPrecision4.trunc(-2.260, 2);
DecimalPrecision4.trunc(-18.150, 2);
DecimalPrecision4.round(1262.48, -1);
DecimalPrecision4.round(1262.48, -2);
});
suite.on("cycle", function (evt) {
console.log(" - " + evt.target);
});
suite.on("complete", function (evt) {
console.log(new Array(30).join("-"));
var results = evt.currentTarget.sort(function (a, b) {
return b.hz - a.hz;
});
results.forEach(function (item) {
console.log((idx + 1) + ". " + item);
});
});
console.log("Decimal Rounding - Exponential notation vs Number.EPSILON vs Double rounding vs Double rounding v2 #jsbench");
console.log(new Array(30).join("-"));
suite.run();
});
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