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v.1.0.0 contd
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* line.parallelTo, line.perpendicularTo
* some more utils for 3D
* update manual
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@foo123
foo123 committed Feb 24, 2023
1 parent 6481be9 commit f7fa74f
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91 changes: 87 additions & 4 deletions build/Geometrize.js
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Expand Up @@ -2,14 +2,14 @@
* Geometrize
* computational geometry and rendering library for JavaScript
*
* @version 1.0.0 (2023-02-23 11:55:45)
* @version 1.0.0 (2023-02-24 15:46:51)
* https://github.com/foo123/Geometrize
*
**//**
* Geometrize
* computational geometry and rendering library for JavaScript
*
* @version 1.0.0 (2023-02-23 11:55:45)
* @version 1.0.0 (2023-02-24 15:46:51)
* https://github.com/foo123/Geometrize
*
**/
Expand Down Expand Up @@ -915,6 +915,10 @@ var Point2D = makeClass(Object2D, {
self.$super('dispose');
};
},
/**[DOC_MD]
* **Methods:**
*
[/DOC_MD]**/
name: 'Point2D',
clone: function() {
return new Point2D(this.x, this.y);
Expand All @@ -931,6 +935,9 @@ var Point2D = makeClass(Object2D, {
xmax: self.x
};
},
/**[DOC_MD]
* * `eq(point: Point2D|Object{x,y}|[x,y]): Bool` determine if equals another point-like
[/DOC_MD]**/
eq: function(other) {
var self = this;
if (other instanceof Point2D)
Expand All @@ -947,26 +954,48 @@ var Point2D = makeClass(Object2D, {
}
return false;
},
/**[DOC_MD]
* * `add(other: Point2D): Point2D` add points coordinate-wise
* * `add(other: Number): Point2D` add number to point coordinates
[/DOC_MD]**/
add: function(other) {
var self = this;
return other instanceof Point2D ? new Point2D(self.x+other.x, self.y+other.y) : new Point2D(self.x+Num(other), self.y+Num(other));
},
/**[DOC_MD]
* * `mul(other: Number): Point2D` multiply number to point coordinates
[/DOC_MD]**/
mul: function(other) {
other = Num(other);
return new Point2D(this.x*other, this.y*other);
},
/**[DOC_MD]
* * `dot(other: Point2D): Number` dot product of points
[/DOC_MD]**/
dot: function(other) {
return dotp(this.x, this.y, other.x, other.y);
},
/**[DOC_MD]
* * `cross(other: Point2D): Number` cross product of points
[/DOC_MD]**/
cross: function(other) {
return crossp(this.x, this.y, other.x, other.y);
},
/**[DOC_MD]
* * `angle(other: Point2D): Number` angle between points
[/DOC_MD]**/
angle: function(other) {
return angle(this.x, this.y, other.x, other.y);
},
/**[DOC_MD]
* * `between(p1: Point2D, p1: Point2D): Bool` check if point is on line segment defined by points p1,p2
[/DOC_MD]**/
between: function(p1, p2) {
return point_on_line_segment(this, p1, p2);
},
/**[DOC_MD]
* * `distanceToLine(p1: Point2D, p1: Point2D): Number` distance of point to line defined by points p1,p2
[/DOC_MD]**/
distanceToLine: function(p1, p2) {
return point_line_distance(this, p1, p2);
},
Expand Down Expand Up @@ -2368,6 +2397,10 @@ var Line = makeClass(Bezier2D, {
return self.$super('isChanged', arguments);
};
},
/**[DOC_MD]
* **Methods:**
*
[/DOC_MD]**/
name: 'Line',
clone: function() {
var self = this;
Expand Down Expand Up @@ -2434,8 +2467,27 @@ var Line = makeClass(Bezier2D, {
}
return false;
},
distanceToPoint: function(point) {
return point_line_segment_distance(point, this._points[0], this._points[1]);
/**[DOC_MD]
* * `distanceToPoint(p: Point2D): Number` distance of point to this line segment
[/DOC_MD]**/
distanceToPoint: function(p) {
return point_line_segment_distance(p, this._points[0], this._points[1]);
},
/**[DOC_MD]
* * `isParallelTo(l: Line): Bool` determine if line is parallel to line l
* * `isParallelTo(p: Point2D, q: Point2D): Bool` determine if line is parallel to line defined by points p,q
[/DOC_MD]**/
isParallelTo: function(p, q) {
var _p = this._points;
return p instanceof Line ? lines_parallel(_p[0], _p[1], p._points[0], p._points[1]) : lines_parallel(_p[0], _p[1], p, q);
},
/**[DOC_MD]
* * `isPerpendicularTo(l: Line): Bool` determine if line is perpendicular to line l
* * `isPerpendicularTo(p: Point2D, q: Point2D): Bool` determine if line is perpendicular to line defined by points p,q
[/DOC_MD]**/
isPerpendicularTo: function(p, q) {
var _p = this._points;
return p instanceof Line ? lines_perpendicular(_p[0], _p[1], p._points[0], p._points[1]) : lines_perpendicular(_p[0], _p[1], p, q);
},
bezierPoints: function(t) {
if (arguments.length) t = clamp(t, 0, 1);
Expand Down Expand Up @@ -4949,6 +5001,14 @@ function point_line_segment_distance(p0, p1, p2)
t = stdMath.max(0, stdMath.min(1, ((x - x1)*dx + (y - y1)*dy) / d));
return hypot(x - x1 - t*dx, y - y1 - t*dy);
}
function lines_parallel(p1, p2, q1, q2)
{
return is_almost_equal((p2.y - p1.y)*(q2.x - q1.x), (q2.y - q1.y)*(p2.x - p1.x));
}
function lines_perpendicular(p1, p2, q1, q2)
{
return is_almost_equal((p2.y - p1.y)*(q2.y - q1.y), -(p2.x - p1.x)*(q2.x - q1.x));
}
function point_on_line_segment(p, p1, p2)
{
var t = 0,
Expand Down Expand Up @@ -5478,6 +5538,29 @@ function polyline_area(polyline_points)
}
return area;
}
function plane_plane_intersection(a, b, c, d, k, l, m, n)
{
var D = a*l - b*k;
// none, line or single point
if (is_strictly_equal(D, 0)) return false; // none
// one or two points (a line)
// x:(b*(m*t + n) - l*(c*t+d))/D, y:(k*(c*t+d) - a*(m*t + n))/D, z:t
return [
{x:(b*n - l*d)/D, y:(k*d - a*n)/D, z:0},
{x:(b*(m+n) - l*(c+d))/D, y:(k*(c+d) - a*(m+n))/D, z:1}
];
}
function normal_to_plane(a, b, c, d)
{
return {x:a, y:b, z:c};
}
function normal_to_points(p1, p2, p3)
{
return crossp3(
p2.x - p1.x, p2.y - p1.y, p2.z - p1.z,
p3.x - p1.x, p3.y - p1.y, p3.z - p1.z
);
}
function convex_hull(points)
{
var pc = points.length, p0, i0, i, p, ps, convexHull, hullSize;
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4 changes: 2 additions & 2 deletions build/Geometrize.min.js
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57 changes: 57 additions & 0 deletions manual.md
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Expand Up @@ -139,6 +139,44 @@ p.y = 5; // change it



**Methods:**




* `eq(point: Point2D|Object{x,y}|[x,y]): Bool` determine if equals another point-like



* `add(other: Point2D): Point2D` add points coordinate-wise
* `add(other: Number): Point2D` add number to point coordinates



* `mul(other: Number): Point2D` multiply number to point coordinates



* `dot(other: Point2D): Number` dot product of points



* `cross(other: Point2D): Number` cross product of points



* `angle(other: Point2D): Number` angle between points



* `between(p1: Point2D, p1: Point2D): Bool` check if point is on line segment defined by points p1,p2



* `distanceToLine(p1: Point2D, p1: Point2D): Number` distance of point to line defined by points p1,p2



### Topos2D (subclass of Object2D)

Represents a geometric topos, ie a set of points
Expand Down Expand Up @@ -271,6 +309,25 @@ line.end.y = 20; // change it



**Methods:**




* `distanceToPoint(p: Point2D): Number` distance of point to this line segment



* `isParallelTo(l: Line): Bool` determine if line is parallel to line l
* `isParallelTo(p: Point2D, q: Point2D): Bool` determine if line is parallel to line defined by points p,q



* `isPerpendicularTo(l: Line): Bool` determine if line is perpendicular to line l
* `isPerpendicularTo(p: Point2D, q: Point2D): Bool` determine if line is perpendicular to line defined by points p,q



### QBezier (subclass of Bezier2D)

Represents a quadratic Bezier curve defined by its control points
Expand Down
27 changes: 25 additions & 2 deletions src/Line.js
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Original file line number Diff line number Diff line change
Expand Up @@ -88,6 +88,10 @@ var Line = makeClass(Bezier2D, {
return self.$super('isChanged', arguments);
};
},
/**[DOC_MD]
* **Methods:**
*
[/DOC_MD]**/
name: 'Line',
clone: function() {
var self = this;
Expand Down Expand Up @@ -154,8 +158,27 @@ var Line = makeClass(Bezier2D, {
}
return false;
},
distanceToPoint: function(point) {
return point_line_segment_distance(point, this._points[0], this._points[1]);
/**[DOC_MD]
* * `distanceToPoint(p: Point2D): Number` distance of point to this line segment
[/DOC_MD]**/
distanceToPoint: function(p) {
return point_line_segment_distance(p, this._points[0], this._points[1]);
},
/**[DOC_MD]
* * `isParallelTo(l: Line): Bool` determine if line is parallel to line l
* * `isParallelTo(p: Point2D, q: Point2D): Bool` determine if line is parallel to line defined by points p,q
[/DOC_MD]**/
isParallelTo: function(p, q) {
var _p = this._points;
return p instanceof Line ? lines_parallel(_p[0], _p[1], p._points[0], p._points[1]) : lines_parallel(_p[0], _p[1], p, q);
},
/**[DOC_MD]
* * `isPerpendicularTo(l: Line): Bool` determine if line is perpendicular to line l
* * `isPerpendicularTo(p: Point2D, q: Point2D): Bool` determine if line is perpendicular to line defined by points p,q
[/DOC_MD]**/
isPerpendicularTo: function(p, q) {
var _p = this._points;
return p instanceof Line ? lines_perpendicular(_p[0], _p[1], p._points[0], p._points[1]) : lines_perpendicular(_p[0], _p[1], p, q);
},
bezierPoints: function(t) {
if (arguments.length) t = clamp(t, 0, 1);
Expand Down
29 changes: 29 additions & 0 deletions src/Point2D.js
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Expand Up @@ -94,6 +94,10 @@ var Point2D = makeClass(Object2D, {
self.$super('dispose');
};
},
/**[DOC_MD]
* **Methods:**
*
[/DOC_MD]**/
name: 'Point2D',
clone: function() {
return new Point2D(this.x, this.y);
Expand All @@ -110,6 +114,9 @@ var Point2D = makeClass(Object2D, {
xmax: self.x
};
},
/**[DOC_MD]
* * `eq(point: Point2D|Object{x,y}|[x,y]): Bool` determine if equals another point-like
[/DOC_MD]**/
eq: function(other) {
var self = this;
if (other instanceof Point2D)
Expand All @@ -126,26 +133,48 @@ var Point2D = makeClass(Object2D, {
}
return false;
},
/**[DOC_MD]
* * `add(other: Point2D): Point2D` add points coordinate-wise
* * `add(other: Number): Point2D` add number to point coordinates
[/DOC_MD]**/
add: function(other) {
var self = this;
return other instanceof Point2D ? new Point2D(self.x+other.x, self.y+other.y) : new Point2D(self.x+Num(other), self.y+Num(other));
},
/**[DOC_MD]
* * `mul(other: Number): Point2D` multiply number to point coordinates
[/DOC_MD]**/
mul: function(other) {
other = Num(other);
return new Point2D(this.x*other, this.y*other);
},
/**[DOC_MD]
* * `dot(other: Point2D): Number` dot product of points
[/DOC_MD]**/
dot: function(other) {
return dotp(this.x, this.y, other.x, other.y);
},
/**[DOC_MD]
* * `cross(other: Point2D): Number` cross product of points
[/DOC_MD]**/
cross: function(other) {
return crossp(this.x, this.y, other.x, other.y);
},
/**[DOC_MD]
* * `angle(other: Point2D): Number` angle between points
[/DOC_MD]**/
angle: function(other) {
return angle(this.x, this.y, other.x, other.y);
},
/**[DOC_MD]
* * `between(p1: Point2D, p1: Point2D): Bool` check if point is on line segment defined by points p1,p2
[/DOC_MD]**/
between: function(p1, p2) {
return point_on_line_segment(this, p1, p2);
},
/**[DOC_MD]
* * `distanceToLine(p1: Point2D, p1: Point2D): Number` distance of point to line defined by points p1,p2
[/DOC_MD]**/
distanceToLine: function(p1, p2) {
return point_line_distance(this, p1, p2);
},
Expand Down
31 changes: 31 additions & 0 deletions src/utils.js
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Expand Up @@ -31,6 +31,14 @@ function point_line_segment_distance(p0, p1, p2)
t = stdMath.max(0, stdMath.min(1, ((x - x1)*dx + (y - y1)*dy) / d));
return hypot(x - x1 - t*dx, y - y1 - t*dy);
}
function lines_parallel(p1, p2, q1, q2)
{
return is_almost_equal((p2.y - p1.y)*(q2.x - q1.x), (q2.y - q1.y)*(p2.x - p1.x));
}
function lines_perpendicular(p1, p2, q1, q2)
{
return is_almost_equal((p2.y - p1.y)*(q2.y - q1.y), -(p2.x - p1.x)*(q2.x - q1.x));
}
function point_on_line_segment(p, p1, p2)
{
var t = 0,
Expand Down Expand Up @@ -560,6 +568,29 @@ function polyline_area(polyline_points)
}
return area;
}
function plane_plane_intersection(a, b, c, d, k, l, m, n)
{
var D = a*l - b*k;
// none, line or single point
if (is_strictly_equal(D, 0)) return false; // none
// one or two points (a line)
// x:(b*(m*t + n) - l*(c*t+d))/D, y:(k*(c*t+d) - a*(m*t + n))/D, z:t
return [
{x:(b*n - l*d)/D, y:(k*d - a*n)/D, z:0},
{x:(b*(m+n) - l*(c+d))/D, y:(k*(c+d) - a*(m+n))/D, z:1}
];
}
function normal_to_plane(a, b, c, d)
{
return {x:a, y:b, z:c};
}
function normal_to_points(p1, p2, p3)
{
return crossp3(
p2.x - p1.x, p2.y - p1.y, p2.z - p1.z,
p3.x - p1.x, p3.y - p1.y, p3.z - p1.z
);
}
function convex_hull(points)
{
var pc = points.length, p0, i0, i, p, ps, convexHull, hullSize;
Expand Down

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