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Merge pull request #6133 from plotly/fix6131-mesh3d
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Fix `mesh3d` generation when `alphahull` is positive
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archmoj authored Mar 8, 2022
2 parents 3796d52 + 8ec93fa commit 4b41f84
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Showing 17 changed files with 393 additions and 20 deletions.
57 changes: 49 additions & 8 deletions stackgl_modules/index.js
Original file line number Diff line number Diff line change
Expand Up @@ -35174,7 +35174,7 @@ var robustSum = _glvis_("robust-sum")
var robustScale = _glvis_("robust-scale")
var compress = _glvis_("robust-compress")

var NUM_EXPANDED = 4
var NUM_EXPANDED = 6

function determinant_2(sum, scale, prod, compress) {
return function robustDeterminant2(m) {
Expand All @@ -35188,10 +35188,24 @@ 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 : undefined
n === 3 ? determinant_3 :
n === 4 ? determinant_4 :
n === 5 ? determinant_5 : undefined
return fn(robustSum, robustScale, twoProduct, compress)
}

Expand All @@ -35200,7 +35214,7 @@ var CACHE = [
function robustDeterminant1(m) { return [m[0][0]] }
]

function proc(det0, det1, det2, det3, CACHE, gen) {
function proc(det0, det1, det2, det3, det4, det5, CACHE, gen) {
return function robustDeterminant(m) {
switch (m.length) {
case 0:
Expand All @@ -35211,6 +35225,10 @@ function proc(det0, det1, det2, det3, 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 Expand Up @@ -35454,13 +35472,16 @@ generateInSphereTest()

var determinant = _glvis_("robust-determinant")

var NUM_EXPAND = 3
var NUM_EXPAND = 6

function generateSolver(n) {
var fn =
n === 2 ? solve2d : solve3d
n === 2 ? solve2d :
n === 3 ? solve3d :
n === 4 ? solve4d :
n === 5 ? solve5d : solve6d

if(n < NUM_EXPAND) {
if(n < 6) {
return fn(determinant[n])
}
return fn(determinant)
Expand All @@ -35486,18 +35507,38 @@ function solve3d(det) {
}
}

function solve4d(det) {
return function robustLinearSolve4d(A, b) {
return [det([[+b[0], +A[0][1], +A[0][2], +A[0][3]], [+b[1], +A[1][1], +A[1][2], +A[1][3]], [+b[2], +A[2][1], +A[2][2], +A[2][3]], [+b[3], +A[3][1], +A[3][2], +A[3][3]]]), det([[+A[0][0], +b[0], +A[0][2], +A[0][3]], [+A[1][0], +b[1], +A[1][2], +A[1][3]], [+A[2][0], +b[2], +A[2][2], +A[2][3]], [+A[3][0], +b[3], +A[3][2], +A[3][3]]]), det([[+A[0][0], +A[0][1], +b[0], +A[0][3]], [+A[1][0], +A[1][1], +b[1], +A[1][3]], [+A[2][0], +A[2][1], +b[2], +A[2][3]], [+A[3][0], +A[3][1], +b[3], +A[3][3]]]), det([[+A[0][0], +A[0][1], +A[0][2], +b[0]], [+A[1][0], +A[1][1], +A[1][2], +b[1]], [+A[2][0], +A[2][1], +A[2][2], +b[2]], [+A[3][0], +A[3][1], +A[3][2], +b[3]]]), det(A)]
}
}

function solve5d(det) {
return function robustLinearSolve5d(A, b) {
return [det([[+b[0], +A[0][1], +A[0][2], +A[0][3], +A[0][4]], [+b[1], +A[1][1], +A[1][2], +A[1][3], +A[1][4]], [+b[2], +A[2][1], +A[2][2], +A[2][3], +A[2][4]], [+b[3], +A[3][1], +A[3][2], +A[3][3], +A[3][4]], [+b[4], +A[4][1], +A[4][2], +A[4][3], +A[4][4]]]), det([[+A[0][0], +b[0], +A[0][2], +A[0][3], +A[0][4]], [+A[1][0], +b[1], +A[1][2], +A[1][3], +A[1][4]], [+A[2][0], +b[2], +A[2][2], +A[2][3], +A[2][4]], [+A[3][0], +b[3], +A[3][2], +A[3][3], +A[3][4]], [+A[4][0], +b[4], +A[4][2], +A[4][3], +A[4][4]]]), det([[+A[0][0], +A[0][1], +b[0], +A[0][3], +A[0][4]], [+A[1][0], +A[1][1], +b[1], +A[1][3], +A[1][4]], [+A[2][0], +A[2][1], +b[2], +A[2][3], +A[2][4]], [+A[3][0], +A[3][1], +b[3], +A[3][3], +A[3][4]], [+A[4][0], +A[4][1], +b[4], +A[4][3], +A[4][4]]]), det([[+A[0][0], +A[0][1], +A[0][2], +b[0], +A[0][4]], [+A[1][0], +A[1][1], +A[1][2], +b[1], +A[1][4]], [+A[2][0], +A[2][1], +A[2][2], +b[2], +A[2][4]], [+A[3][0], +A[3][1], +A[3][2], +b[3], +A[3][4]], [+A[4][0], +A[4][1], +A[4][2], +b[4], +A[4][4]]]), det([[+A[0][0], +A[0][1], +A[0][2], +A[0][3], +b[0]], [+A[1][0], +A[1][1], +A[1][2], +A[1][3], +b[1]], [+A[2][0], +A[2][1], +A[2][2], +A[2][3], +b[2]], [+A[3][0], +A[3][1], +A[3][2], +A[3][3], +b[3]], [+A[4][0], +A[4][1], +A[4][2], +A[4][3], +b[4]]]), det(A)]
}
}

function solve6d(det) {
return function robustLinearSolve6d(A, b) {
return [det([[+b[0], +A[0][1], +A[0][2], +A[0][3], +A[0][4], +A[0][5]], [+b[1], +A[1][1], +A[1][2], +A[1][3], +A[1][4], +A[1][5]], [+b[2], +A[2][1], +A[2][2], +A[2][3], +A[2][4], +A[2][5]], [+b[3], +A[3][1], +A[3][2], +A[3][3], +A[3][4], +A[3][5]], [+b[4], +A[4][1], +A[4][2], +A[4][3], +A[4][4], +A[4][5]], [+b[5], +A[5][1], +A[5][2], +A[5][3], +A[5][4], +A[5][5]]]), det([[+A[0][0], +b[0], +A[0][2], +A[0][3], +A[0][4], +A[0][5]], [+A[1][0], +b[1], +A[1][2], +A[1][3], +A[1][4], +A[1][5]], [+A[2][0], +b[2], +A[2][2], +A[2][3], +A[2][4], +A[2][5]], [+A[3][0], +b[3], +A[3][2], +A[3][3], +A[3][4], +A[3][5]], [+A[4][0], +b[4], +A[4][2], +A[4][3], +A[4][4], +A[4][5]], [+A[5][0], +b[5], +A[5][2], +A[5][3], +A[5][4], +A[5][5]]]), det([[+A[0][0], +A[0][1], +b[0], +A[0][3], +A[0][4], +A[0][5]], [+A[1][0], +A[1][1], +b[1], +A[1][3], +A[1][4], +A[1][5]], [+A[2][0], +A[2][1], +b[2], +A[2][3], +A[2][4], +A[2][5]], [+A[3][0], +A[3][1], +b[3], +A[3][3], +A[3][4], +A[3][5]], [+A[4][0], +A[4][1], +b[4], +A[4][3], +A[4][4], +A[4][5]], [+A[5][0], +A[5][1], +b[5], +A[5][3], +A[5][4], +A[5][5]]]), det([[+A[0][0], +A[0][1], +A[0][2], +b[0], +A[0][4], +A[0][5]], [+A[1][0], +A[1][1], +A[1][2], +b[1], +A[1][4], +A[1][5]], [+A[2][0], +A[2][1], +A[2][2], +b[2], +A[2][4], +A[2][5]], [+A[3][0], +A[3][1], +A[3][2], +b[3], +A[3][4], +A[3][5]], [+A[4][0], +A[4][1], +A[4][2], +b[4], +A[4][4], +A[4][5]], [+A[5][0], +A[5][1], +A[5][2], +b[5], +A[5][4], +A[5][5]]]), det([[+A[0][0], +A[0][1], +A[0][2], +A[0][3], +b[0], +A[0][5]], [+A[1][0], +A[1][1], +A[1][2], +A[1][3], +b[1], +A[1][5]], [+A[2][0], +A[2][1], +A[2][2], +A[2][3], +b[2], +A[2][5]], [+A[3][0], +A[3][1], +A[3][2], +A[3][3], +b[3], +A[3][5]], [+A[4][0], +A[4][1], +A[4][2], +A[4][3], +b[4], +A[4][5]], [+A[5][0], +A[5][1], +A[5][2], +A[5][3], +b[5], +A[5][5]]]), det([[+A[0][0], +A[0][1], +A[0][2], +A[0][3], +A[0][4], +b[0]], [+A[1][0], +A[1][1], +A[1][2], +A[1][3], +A[1][4], +b[1]], [+A[2][0], +A[2][1], +A[2][2], +A[2][3], +A[2][4], +b[2]], [+A[3][0], +A[3][1], +A[3][2], +A[3][3], +A[3][4], +b[3]], [+A[4][0], +A[4][1], +A[4][2], +A[4][3], +A[4][4], +b[4]], [+A[5][0], +A[5][1], +A[5][2], +A[5][3], +A[5][4], +b[5]]]), det(A)]
}
}

var CACHE = [
robustLinearSolve0d,
robustLinearSolve1d
]

function proc(s0, s1, s2, s3, CACHE, g) {
function proc(s0, s1, s2, s3, s4, s5, CACHE, g) {
return function dispatchLinearSolve(A, b) {
switch (A.length) {
case 0: return s0(A, b);
case 1: return s1(A, b);
case 2: return s2(A, b);
case 3: return s3(A, b);
case 4: return s4(A, b);
case 5: return s5(A, b);
}
var s = CACHE[A.length];
if (!s) s = CACHE[A.length] = g(A.length);
Expand All @@ -35506,7 +35547,7 @@ function proc(s0, s1, s2, s3, CACHE, g) {
}

function generateDispatch() {
while(CACHE.length <= NUM_EXPAND) {
while(CACHE.length < NUM_EXPAND) {
CACHE.push(generateSolver(CACHE.length))
}
module.exports = proc.apply(undefined, CACHE.concat([CACHE, generateSolver]))
Expand Down
20 changes: 10 additions & 10 deletions stackgl_modules/package-lock.json

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4 changes: 2 additions & 2 deletions stackgl_modules/package.json
Original file line number Diff line number Diff line change
Expand Up @@ -39,9 +39,9 @@
"ndarray-pack": "plotly/ndarray-pack#v1.3.0",
"ndarray-sort": "plotly/ndarray-sort#v1.1.0",
"right-now": "^1.0.0",
"robust-determinant": "plotly/robust-determinant#v1.2.1",
"robust-determinant": "plotly/robust-determinant#v1.2.2",
"robust-in-sphere": "1.2.1",
"robust-linear-solve": "plotly/robust-linear-solve#v1.1.1",
"robust-linear-solve": "plotly/robust-linear-solve#v1.1.2",
"robust-orientation": "1.2.1",
"simplicial-complex-contour": "plotly/simplicial-complex-contour#v1.1.0",
"surface-nets": "plotly/surface-nets#v1.1.1",
Expand Down
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