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Liquid flow 2 #1473

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91 changes: 76 additions & 15 deletions ui/flow.reel/flow-bezier-spline.js
Expand Up @@ -149,7 +149,7 @@ var FlowBezierSpline = exports.FlowBezierSpline = Montage.specialize( {
},

getPositionAtIndexTime: {
value: function (indexTime) {
value: function (indexTime, scale) {
var index = indexTime[0],
time = indexTime[1],
p0 = this._knots[index],
Expand All @@ -162,11 +162,19 @@ var FlowBezierSpline = exports.FlowBezierSpline = Montage.specialize( {
coef3 = y * time * time * 3,
coef4 = time * time * time;

return [
p0[0] * coef1 + p1[0] * coef2 + p2[0] * coef3 + p3[0] * coef4,
p0[1] * coef1 + p1[1] * coef2 + p2[1] * coef3 + p3[1] * coef4,
p0[2] * coef1 + p1[2] * coef2 + p2[2] * coef3 + p3[2] * coef4
];
if (scale) {
return [
(scale.x.numerator * (p0[0] * coef1 + p1[0] * coef2 + p2[0] * coef3 + p3[0] * coef4)) / scale.x.denominator,
(scale.y.numerator * (p0[1] * coef1 + p1[1] * coef2 + p2[1] * coef3 + p3[1] * coef4)) / scale.y.denominator,
(scale.z.numerator * (p0[2] * coef1 + p1[2] * coef2 + p2[2] * coef3 + p3[2] * coef4)) / scale.z.denominator
];
} else {
return [
p0[0] * coef1 + p1[0] * coef2 + p2[0] * coef3 + p3[0] * coef4,
p0[1] * coef1 + p1[1] * coef2 + p2[1] * coef3 + p3[1] * coef4,
p0[2] * coef1 + p1[2] * coef2 + p2[2] * coef3 + p3[2] * coef4
];
}
}
},

Expand Down Expand Up @@ -300,7 +308,7 @@ var FlowBezierSpline = exports.FlowBezierSpline = Montage.specialize( {
cubicRealRoots: {
enumerable: false,
value: function (a, b, c, d) {
var epsilon = 1e-100, math = Math;
var epsilon = 1e-10, math = Math;

if ((a < -epsilon) || (a > epsilon)) {
var dv = 1 / a,
Expand Down Expand Up @@ -367,18 +375,17 @@ var FlowBezierSpline = exports.FlowBezierSpline = Montage.specialize( {

reflectionMatrix: {
enumerable: false,
value: function (planeNormal0,planeNormal1,planeNormal2,reflectionMatrixBuffer) {
value: function (planeNormal0, planeNormal1, planeNormal2) {
var math = Math, angleZ = this._halfPI - math.atan2(planeNormal1, planeNormal0),
sinAngleZ = math.sin(angleZ),
cosAngleZ = math.cos(angleZ),
angleX = this._halfPI - math.atan2(/*p2*/ planeNormal2, /*p1*/ planeNormal0 * sinAngleZ + planeNormal1 * cosAngleZ),
sinAngleX = math.sin(angleX);

reflectionMatrixBuffer[0] = sinAngleX * sinAngleZ;
reflectionMatrixBuffer[1] = cosAngleZ * sinAngleX;
reflectionMatrixBuffer[2] = math.cos(angleX);

return reflectionMatrixBuffer;
return [
sinAngleX * sinAngleZ,
cosAngleZ * sinAngleX,
math.cos(angleX)];
}
},

Expand All @@ -389,10 +396,64 @@ var FlowBezierSpline = exports.FlowBezierSpline = Montage.specialize( {
}
},

getScaledKnots: {
value: function (scale) {
var knots = [],
i;

for (i = 0; i < this._knots.length; i++) {
if (this._knots[i]) {
knots[i] = [
(scale.x.numerator * this._knots[i][0]) / scale.x.denominator,
(scale.y.numerator * this._knots[i][1]) / scale.y.denominator,
(scale.z.numerator * this._knots[i][2]) / scale.z.denominator
];
}
}
return knots;
}
},

getScaledPreviousHandlers: {
value: function (scale) {
var previousHandlers = [],
i;

for (i = 0; i < this._previousHandlers.length; i++) {
if (this._previousHandlers[i]) {
previousHandlers[i] = [
(scale.x.numerator * this._previousHandlers[i][0]) / scale.x.denominator,
(scale.y.numerator * this._previousHandlers[i][1]) / scale.y.denominator,
(scale.z.numerator * this._previousHandlers[i][2]) / scale.z.denominator
];
}
}
return previousHandlers;
}
},

getScaledNextHandlers: {
value: function (scale) {
var nextHandlers = [],
i;

for (i = 0; i < this._nextHandlers.length; i++) {
if (this._nextHandlers[i]) {
nextHandlers[i] = [
(scale.x.numerator * this._nextHandlers[i][0]) / scale.x.denominator,
(scale.y.numerator * this._nextHandlers[i][1]) / scale.y.denominator,
(scale.z.numerator * this._nextHandlers[i][2]) / scale.z.denominator
];
}
}
return nextHandlers;
}
},

directedPlaneBezierIntersection: {
enumerable: false,
value: function (planeOrigin0, planeOrigin1, planeOrigin2, planeNormal, b0, b1, b2, b3, reflectionMatrixBuffer) {
var matrix = this.reflectionMatrix(planeNormal[0],planeNormal[1],planeNormal[2],reflectionMatrixBuffer), // TODO: cache for matrix and cache for cubicRealRoots
value: function (planeOrigin0, planeOrigin1, planeOrigin2, planeNormal, b0, b1, b2, b3) {
var matrix = this.reflectionMatrix(planeNormal[0], planeNormal[1], planeNormal[2]), // TODO: cache for matrix and cache for cubicRealRoots
d = this.reflectedY(b0[0] - planeOrigin0, b0[1] - planeOrigin1, b0[2] - planeOrigin2, matrix),
r1 = this.reflectedY(b1[0] - planeOrigin0, b1[1] - planeOrigin1, b1[2] - planeOrigin2, matrix),
r2 = this.reflectedY(b2[0] - planeOrigin0, b2[1] - planeOrigin1, b2[2] - planeOrigin2, matrix),
Expand Down