3 ms·

I assume these results are all amd64. Is this the same on arm64?

lioeters 3mo ago
The original article [^1] didn't specify the CPU, but I gathered the code examples (and added one for Lua, untested) if anyone is curious to try with arm64. The test case to compare the margin of error was eml_mul(2, 3). JavaScript const eml = (x, y) => Math.exp(x) - Math.log(y); const emlLn = (x) => eml(1, eml(eml(1, x), 1)); const emlMul = (x, y) => eml(emlLn(x) + emlLn(y), 1); const emlAdd = (x, y) => emlLn(eml(x, 1) * eml(y, 1)); Python import math def eml(x, y): return math.exp(x) - math.log(y) def eml_ln(x): return eml(1, eml(eml(1, x), 1)) def eml_mul(x, y): return eml(eml_ln(x) + eml_ln(y), 1) def eml_add(x, y): return eml_ln(eml(x, 1) * eml(y, 1)) PHP function eml(float $x, float $y): float { return exp($x) - log($y); } function eml_ln(float $x): float { return eml(1, eml(eml(1, $x), 1)); } function eml_mul(float $x, float $y): float { return eml(eml_ln($x) + eml_ln($y), 1); } function eml_add(float $x, float $y): float { return eml_ln(eml($x, 1) * eml($y, 1)); } Go func eml(x, y float64) float64 { return math.Exp(x) - math.Log(y) } func emlLn(x float64) float64 { return eml(1, eml(eml(1, x), 1)) } func emlMul(x, y float64) float64 { return eml(emlLn(x)+emlLn(y), 1) } func emlAdd(x, y float64) float64 { return emlLn(eml(x, 1) * eml(y, 1)) } Rust fn eml(x: f64, y: f64) -> f64 { x.exp() - y.ln() } fn eml_ln(x: f64) -> f64 { eml(1.0, eml(eml(1.0, x), 1.0)) } fn eml_mul(x: f64, y: f64) -> f64 { eml(eml_ln(x) + eml_ln(y), 1.0) } fn eml_add(x: f64, y: f64) -> f64 { eml_ln(eml(x, 1.0) * eml(y, 1.0)) } Lua local math = require("math") function eml(x, y) return math.exp(x) - math.log(y) end function eml_ln(x) return eml(1, eml(eml(1, x), 1)) end function eml_mul(x, y) return eml(eml_ln(x) + eml_ln(y), 1) end function eml_add(x, y) return eml_ln(eml(x, 1) * eml(y, 1)) end --- [^1]: https://lilting.ch/en/articles/eml-single-operator-elementary-functions https://lilting.ch/en/articles/eml-single-operator-elementar...

The original article [^1] didn't specify the CPU, but I gathered the code examples (and added one for Lua, untested) if anyone is curious to try with arm64. The test case to compare the margin of error was eml_mul(2, 3). JavaScript const eml = (x, y) => Math.exp(x) - Math.log(y); const emlLn = (x) => eml(1, eml(eml(1, x), 1)); const emlMul = (x, y) => eml(emlLn(x) + emlLn(y), 1); const emlAdd = (x, y) => emlLn(eml(x, 1) * eml(y, 1)); Python import math def eml(x, y): return math.exp(x) - math.log(y) def eml_ln(x): return eml(1, eml(eml(1, x), 1)) def eml_mul(x, y): return eml(eml_ln(x) + eml_ln(y), 1) def eml_add(x, y): return eml_ln(eml(x, 1) * eml(y, 1)) PHP function eml(float $x, float $y): float { return exp($x) - log($y); } function eml_ln(float $x): float { return eml(1, eml(eml(1, $x), 1)); } function eml_mul(float $x, float $y): float { return eml(eml_ln($x) + eml_ln($y), 1); } function eml_add(float $x, float $y): float { return eml_ln(eml($x, 1) * eml($y, 1)); } Go func eml(x, y float64) float64 { return math.Exp(x) - math.Log(y) } func emlLn(x float64) float64 { return eml(1, eml(eml(1, x), 1)) } func emlMul(x, y float64) float64 { return eml(emlLn(x)+emlLn(y), 1) } func emlAdd(x, y float64) float64 { return emlLn(eml(x, 1) * eml(y, 1)) } Rust fn eml(x: f64, y: f64) -> f64 { x.exp() - y.ln() } fn eml_ln(x: f64) -> f64 { eml(1.0, eml(eml(1.0, x), 1.0)) } fn eml_mul(x: f64, y: f64) -> f64 { eml(eml_ln(x) + eml_ln(y), 1.0) } fn eml_add(x: f64, y: f64) -> f64 { eml_ln(eml(x, 1.0) * eml(y, 1.0)) } Lua local math = require("math") function eml(x, y) return math.exp(x) - math.log(y) end function eml_ln(x) return eml(1, eml(eml(1, x), 1)) end function eml_mul(x, y) return eml(eml_ln(x) + eml_ln(y), 1) end function eml_add(x, y) return eml_ln(eml(x, 1) * eml(y, 1)) end --- [^1]: https://lilting.ch/en/articles/eml-single-operator-elementary-functions https://lilting.ch/en/articles/eml-single-operator-elementar...