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Reduce robust determinant #2

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4 changes: 2 additions & 2 deletions package.json
Original file line number Diff line number Diff line change
Expand Up @@ -20,7 +20,7 @@
},
"repository": {
"type": "git",
"url": "git://github.com/mikolalysenko/robust-determinant.git"
"url": "git://github.com/plotly/robust-determinant.git"
},
"keywords": [
"robust",
Expand All @@ -32,6 +32,6 @@
"author": "Mikola Lysenko",
"license": "MIT",
"bugs": {
"url": "https://github.com/mikolalysenko/robust-determinant/issues"
"url": "https://github.com/plotly/robust-determinant/issues"
}
}
24 changes: 3 additions & 21 deletions robust-determinant.js
Original file line number Diff line number Diff line change
Expand Up @@ -5,7 +5,7 @@ var robustSum = require("robust-sum")
var robustScale = require("robust-scale")
var compress = require("robust-compress")

var NUM_EXPANDED = 6
var NUM_EXPANDED = 4

function determinant_2(sum, scale, prod, compress) {
return function robustDeterminant2(m) {
Expand All @@ -19,24 +19,10 @@ function determinant_3(sum, scale, prod, compress) {
}
}

function determinant_4(sum, scale, prod, compress) {
return function robustDeterminant4(m) {
return compress(sum(sum(scale(sum(scale(sum(prod(m[2][2], m[3][3]), prod(-m[2][3], m[3][2])), m[1][1]), sum(scale(sum(prod(m[2][1], m[3][3]), prod(-m[2][3], m[3][1])), -m[1][2]), scale(sum(prod(m[2][1], m[3][2]), prod(-m[2][2], m[3][1])), m[1][3]))), m[0][0]), scale(sum(scale(sum(prod(m[2][2], m[3][3]), prod(-m[2][3], m[3][2])), m[1][0]), sum(scale(sum(prod(m[2][0], m[3][3]), prod(-m[2][3], m[3][0])), -m[1][2]), scale(sum(prod(m[2][0], m[3][2]), prod(-m[2][2], m[3][0])), m[1][3]))), -m[0][1])), sum(scale(sum(scale(sum(prod(m[2][1], m[3][3]), prod(-m[2][3], m[3][1])), m[1][0]), sum(scale(sum(prod(m[2][0], m[3][3]), prod(-m[2][3], m[3][0])), -m[1][1]), scale(sum(prod(m[2][0], m[3][1]), prod(-m[2][1], m[3][0])), m[1][3]))), m[0][2]), scale(sum(scale(sum(prod(m[2][1], m[3][2]), prod(-m[2][2], m[3][1])), m[1][0]), sum(scale(sum(prod(m[2][0], m[3][2]), prod(-m[2][2], m[3][0])), -m[1][1]), scale(sum(prod(m[2][0], m[3][1]), prod(-m[2][1], m[3][0])), m[1][2]))), -m[0][3]))))
}
}

function determinant_5(sum, scale, prod, compress) {
return function robustDeterminant5(m) {
return compress(sum(sum(scale(sum(sum(scale(sum(scale(sum(prod(m[3][3], m[4][4]), prod(-m[3][4], m[4][3])), m[2][2]), sum(scale(sum(prod(m[3][2], m[4][4]), prod(-m[3][4], m[4][2])), -m[2][3]), scale(sum(prod(m[3][2], m[4][3]), prod(-m[3][3], m[4][2])), m[2][4]))), m[1][1]), scale(sum(scale(sum(prod(m[3][3], m[4][4]), prod(-m[3][4], m[4][3])), m[2][1]), sum(scale(sum(prod(m[3][1], m[4][4]), prod(-m[3][4], m[4][1])), -m[2][3]), scale(sum(prod(m[3][1], m[4][3]), prod(-m[3][3], m[4][1])), m[2][4]))), -m[1][2])), sum(scale(sum(scale(sum(prod(m[3][2], m[4][4]), prod(-m[3][4], m[4][2])), m[2][1]), sum(scale(sum(prod(m[3][1], m[4][4]), prod(-m[3][4], m[4][1])), -m[2][2]), scale(sum(prod(m[3][1], m[4][2]), prod(-m[3][2], m[4][1])), m[2][4]))), m[1][3]), scale(sum(scale(sum(prod(m[3][2], m[4][3]), prod(-m[3][3], m[4][2])), m[2][1]), sum(scale(sum(prod(m[3][1], m[4][3]), prod(-m[3][3], m[4][1])), -m[2][2]), scale(sum(prod(m[3][1], m[4][2]), prod(-m[3][2], m[4][1])), m[2][3]))), -m[1][4]))), m[0][0]), scale(sum(sum(scale(sum(scale(sum(prod(m[3][3], m[4][4]), prod(-m[3][4], m[4][3])), m[2][2]), sum(scale(sum(prod(m[3][2], m[4][4]), prod(-m[3][4], m[4][2])), -m[2][3]), scale(sum(prod(m[3][2], m[4][3]), prod(-m[3][3], m[4][2])), m[2][4]))), m[1][0]), scale(sum(scale(sum(prod(m[3][3], m[4][4]), prod(-m[3][4], m[4][3])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][4]), prod(-m[3][4], m[4][0])), -m[2][3]), scale(sum(prod(m[3][0], m[4][3]), prod(-m[3][3], m[4][0])), m[2][4]))), -m[1][2])), sum(scale(sum(scale(sum(prod(m[3][2], m[4][4]), prod(-m[3][4], m[4][2])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][4]), prod(-m[3][4], m[4][0])), -m[2][2]), scale(sum(prod(m[3][0], m[4][2]), prod(-m[3][2], m[4][0])), m[2][4]))), m[1][3]), scale(sum(scale(sum(prod(m[3][2], m[4][3]), prod(-m[3][3], m[4][2])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][3]), prod(-m[3][3], m[4][0])), -m[2][2]), scale(sum(prod(m[3][0], m[4][2]), prod(-m[3][2], m[4][0])), m[2][3]))), -m[1][4]))), -m[0][1])), sum(scale(sum(sum(scale(sum(scale(sum(prod(m[3][3], m[4][4]), prod(-m[3][4], m[4][3])), m[2][1]), sum(scale(sum(prod(m[3][1], m[4][4]), prod(-m[3][4], m[4][1])), -m[2][3]), scale(sum(prod(m[3][1], m[4][3]), prod(-m[3][3], m[4][1])), m[2][4]))), m[1][0]), scale(sum(scale(sum(prod(m[3][3], m[4][4]), prod(-m[3][4], m[4][3])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][4]), prod(-m[3][4], m[4][0])), -m[2][3]), scale(sum(prod(m[3][0], m[4][3]), prod(-m[3][3], m[4][0])), m[2][4]))), -m[1][1])), sum(scale(sum(scale(sum(prod(m[3][1], m[4][4]), prod(-m[3][4], m[4][1])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][4]), prod(-m[3][4], m[4][0])), -m[2][1]), scale(sum(prod(m[3][0], m[4][1]), prod(-m[3][1], m[4][0])), m[2][4]))), m[1][3]), scale(sum(scale(sum(prod(m[3][1], m[4][3]), prod(-m[3][3], m[4][1])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][3]), prod(-m[3][3], m[4][0])), -m[2][1]), scale(sum(prod(m[3][0], m[4][1]), prod(-m[3][1], m[4][0])), m[2][3]))), -m[1][4]))), m[0][2]), sum(scale(sum(sum(scale(sum(scale(sum(prod(m[3][2], m[4][4]), prod(-m[3][4], m[4][2])), m[2][1]), sum(scale(sum(prod(m[3][1], m[4][4]), prod(-m[3][4], m[4][1])), -m[2][2]), scale(sum(prod(m[3][1], m[4][2]), prod(-m[3][2], m[4][1])), m[2][4]))), m[1][0]), scale(sum(scale(sum(prod(m[3][2], m[4][4]), prod(-m[3][4], m[4][2])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][4]), prod(-m[3][4], m[4][0])), -m[2][2]), scale(sum(prod(m[3][0], m[4][2]), prod(-m[3][2], m[4][0])), m[2][4]))), -m[1][1])), sum(scale(sum(scale(sum(prod(m[3][1], m[4][4]), prod(-m[3][4], m[4][1])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][4]), prod(-m[3][4], m[4][0])), -m[2][1]), scale(sum(prod(m[3][0], m[4][1]), prod(-m[3][1], m[4][0])), m[2][4]))), m[1][2]), scale(sum(scale(sum(prod(m[3][1], m[4][2]), prod(-m[3][2], m[4][1])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][2]), prod(-m[3][2], m[4][0])), -m[2][1]), scale(sum(prod(m[3][0], m[4][1]), prod(-m[3][1], m[4][0])), m[2][2]))), -m[1][4]))), -m[0][3]), scale(sum(sum(scale(sum(scale(sum(prod(m[3][2], m[4][3]), prod(-m[3][3], m[4][2])), m[2][1]), sum(scale(sum(prod(m[3][1], m[4][3]), prod(-m[3][3], m[4][1])), -m[2][2]), scale(sum(prod(m[3][1], m[4][2]), prod(-m[3][2], m[4][1])), m[2][3]))), m[1][0]), scale(sum(scale(sum(prod(m[3][2], m[4][3]), prod(-m[3][3], m[4][2])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][3]), prod(-m[3][3], m[4][0])), -m[2][2]), scale(sum(prod(m[3][0], m[4][2]), prod(-m[3][2], m[4][0])), m[2][3]))), -m[1][1])), sum(scale(sum(scale(sum(prod(m[3][1], m[4][3]), prod(-m[3][3], m[4][1])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][3]), prod(-m[3][3], m[4][0])), -m[2][1]), scale(sum(prod(m[3][0], m[4][1]), prod(-m[3][1], m[4][0])), m[2][3]))), m[1][2]), scale(sum(scale(sum(prod(m[3][1], m[4][2]), prod(-m[3][2], m[4][1])), m[2][0]), sum(scale(sum(prod(m[3][0], m[4][2]), prod(-m[3][2], m[4][0])), -m[2][1]), scale(sum(prod(m[3][0], m[4][1]), prod(-m[3][1], m[4][0])), m[2][2]))), -m[1][3]))), m[0][4])))))
}
}

function compileDeterminant(n) {
var fn =
n === 2 ? determinant_2 :
n === 3 ? determinant_3 :
n === 4 ? determinant_4 :
n === 5 ? determinant_5 : undefined
n === 3 ? determinant_3 : undefined
return fn(robustSum, robustScale, twoProduct, compress)
}

Expand All @@ -45,7 +31,7 @@ var CACHE = [
function robustDeterminant1(m) { return [m[0][0]] }
]

function proc(det0, det1, det2, det3, det4, det5, CACHE, gen) {
function proc(det0, det1, det2, det3, CACHE, gen) {
return function robustDeterminant(m) {
switch (m.length) {
case 0:
Expand All @@ -56,10 +42,6 @@ function proc(det0, det1, det2, det3, det4, det5, CACHE, gen) {
return det2(m)
case 3:
return det3(m)
case 4:
return det4(m)
case 5:
return det5(m)
}
var det = CACHE[m.length]
if (!det) det = CACHE[m.length] = gen(m.length)
Expand Down