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gpml2pvjson

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/* * I need to do the following: * diff angles between vectors * find perpendicular vector to a point on a path * find tangent to a point on a path * transform (translate, rotate) for nodes and edges * es modules so I can pull out just what I need * * Specs to compare: * tests * typescript * maintained (open issues unresolved for a long time?) * node and browser */ import { assign as assignM } from "lodash"; import { fromPairs, isFinite, isUndefined, last, toPairs } from "lodash/fp"; import { degreesToRadians, distance, fromSlope, normalize } from "./spinoffs/Angle"; import { position } from "points"; // TODO why doesn't the following work? // Also, why doesn't ../node_modules/kaavio/lib/drawers/edges/ exist? //import * as edgeDrawers from "kaavio/src/drawers/edges/index"; //import * as edgeDrawers from "../node_modules/kaavio/src/drawers/edges/index"; //import * as edgeDrawers from "kaavio/src/drawers/edges/index"; //import * as edgeDrawers from "kaavio/lib/drawers/edges/index"; import * as edgeDrawers from "./edge/edgeDrawers"; // We are using the standard SVG coordinate system where: // the origin is the upper-left-most point // positive x is to the right // positive y is down // uses left hand rule, so positive angle is clockwise, // starting with 0 pointing to the right // The orientation is a unit vector that indicates the orientation of an // at a point. When it is attached to a rectangle, we almost always want it to // point away from the side to which it is attached. export const START_SIDE_TO_ORIENTATION_MAP = { right: [1, 0], bottom: [0, 1], left: [-1, 0], top: [0, -1] }; export const START_SIDE_TO_EMANATION_ANGLE_MAPPINGS = fromPairs(toPairs(START_SIDE_TO_ORIENTATION_MAP).map(function ([startSide, orientation]) { return [startSide, fromSlope([0, 0], orientation)]; })); export const EMANATION_ANGLE_TO_START_SIDE_MAPPINGS = toPairs(START_SIDE_TO_EMANATION_ANGLE_MAPPINGS).reduce(function (acc, [side, angle]) { acc.set(angle, side); return acc; }, new Map()); export const START_SEGMENT_DETAILS_MAPS = toPairs(START_SIDE_TO_ORIENTATION_MAP).map(function ([startSide, orientation]) { const [orientationX, orientationY] = orientation; return { sideAttachedTo: startSide, orientation: orientation, angle: normalize(Math.atan2(orientationY, orientationX)) }; }); export class SmartPoint { //orientationVector?: SmartVector; constructor(point) { this.angle = () => { return fromSlope([0, 0], this.orientation); }; this.fromArray = ([x, y]) => { this.x = x; this.y = y; }; this.toArray = () => { return [this.x, this.y]; }; assignM(this, point); /* if (!isUndefined(this.orientation)) { this.orientationVector = new SmartVector( { x: 0, y: 0 }, { x: this.orientation[0], y: this.orientation[1] } ); } //*/ } } export class SmartVector { constructor(p0, p1) { this.angleDistance = vector2 => { return distance(this.angle, vector2.angle); }; this.p0 = new SmartPoint(p0); this.p1 = new SmartPoint(p1); this.angle = fromSlope(this.p0.toArray(), this.p1.toArray()); } } export class SmartPath { constructor(points, edge) { this.position = (scalar, accuracy) => { const { x, y, angle: degreesFromNorth } = position(this.path.points, scalar, accuracy); /* the points library returns the angle from north, in degrees, increasing CW, so * this has an angle of 0 deg.: * * ^ * | * | * | * * and this has an angle of 90 deg.: * * -------> */ return { x, y, // convert to radians and use angle orientation of SVG coordinate system angle: normalize(degreesToRadians(degreesFromNorth + 270)) }; }; const smartPoints = points.map(point => new SmartPoint(point)); this.points = smartPoints; this.sum = new SmartVector(smartPoints[0], last(smartPoints)); if (!isUndefined(edge)) { const { points, markerStart, markerEnd } = edge; this.path = new edgeDrawers[edge.drawAs](smartPoints, markerStart, markerEnd); } } } // TODO explore using the packages points and angles (and maybe vectory) together const smartPath1 = new SmartPath([ { x: 50, y: 30, moveTo: true }, { x: 50, y: 70, curve: { type: "arc", rx: 20, ry: 20, sweepFlag: 1 } }, { x: 150, y: 100, curve: { type: "arc", rx: 20, ry: 20, sweepFlag: 1 } } ]); const smartPath2 = new SmartPath([ { x: 100, y: 50, moveTo: true }, { x: 50, y: 70, curve: { type: "arc", rx: 20, ry: 20, sweepFlag: 1 } } //{ x: 200, y: 100 } ]); /* OLD CODE BELOW */ export function addAngles(angle1, angle2) { const sum = angle1 + angle2; const singleRevolutionSum = sum % (2 * Math.PI); return Math.sign(singleRevolutionSum) === -1 ? 2 * Math.PI + singleRevolutionSum : singleRevolutionSum; } // see https://gist.github.com/ahwolf/4349166 and // http://www.blackpawn.com/texts/pointinpoly/default.html export function crossProduct(u, v) { return u[0] * v[1] - v[0] * u[1]; } export function flipOrientation(orientation) { return orientation.map(orientationScalar => -1 * orientationScalar); } export function flipSide(side) { return EMANATION_ANGLE_TO_START_SIDE_MAPPINGS.get(reverseAngle(START_SIDE_TO_EMANATION_ANGLE_MAPPINGS[side])); } export function getMinimumAngleBetweenVectors(vectorDirectionAngle1, vectorDirectionAngle2) { const vectors = [vectorDirectionAngle1, vectorDirectionAngle2]; const minVector = Math.min.apply(undefined, vectors); const maxVector = Math.max.apply(undefined, vectors); if (minVector < 0 || maxVector >= 2 * Math.PI) { throw new Error(`getMinimumAngleBetweenVectors(${vectorDirectionAngle1}, ${vectorDirectionAngle2}) inputs must be in interval [0, 2 * Math.PI).`); } return (Math.max(vectorDirectionAngle1, vectorDirectionAngle2) - Math.min(vectorDirectionAngle1, vectorDirectionAngle2)); /* const diff = addAngles(vectorDirectionAngle1, -1 * vectorDirectionAngle2); return diff <= Math.PI ? diff : diff % Math.PI; //*/ //return diff > Math.PI ? diff - Math.PI : diff; } export function getAngleOfEmanationFromPoint(point) { const [orientationX, orientationY] = point.orientation; return Math.atan2(orientationY, orientationX); } export function reverseAngle(angle) { return addAngles(angle, Math.PI); } export function getAngleAtPoint(edge, positionX) { const { id, points, markerStart, markerEnd } = edge; const referencedPath = new edgeDrawers[edge.drawAs.toLowerCase()](points, markerStart, markerEnd); const tangentLength = 0.02; const firstPointOfTangent = referencedPath.getPointAtPosition(Math.max(0, positionX - tangentLength / 2)); const lastPointOfTangent = referencedPath.getPointAtPosition(Math.min(1, positionX + tangentLength / 2)); return getAngleFromPointToPoint(firstPointOfTangent, lastPointOfTangent); } export function getAngleFromPointToPoint({ x: x0, y: y0 }, { x: x1, y: y1 }) { return Math.atan2(y1 - y0, x1 - x0); } export function getStartSideByOrientation([orientationX, orientationY]) { if (Math.abs(orientationX) > Math.abs(orientationY)) { if (orientationX > 0) { return "right"; //East } else { return "left"; //West } } else { if (orientationY > 0) { return "bottom"; //South } else { return "top"; //North } } } // see http://blog.acipo.com/matrix-inversion-in-javascript/ /** * Calculate the inverse matrix. * @returns {Matrix} */ export function invertMatrix(M) { // I use Guassian Elimination to calculate the inverse: // (1) 'augment' the matrix (left) by the identity (on the right) // (2) Turn the matrix on the left into the identity by elemetry row ops // (3) The matrix on the right is the inverse (was the identity matrix) // There are 3 elemtary row ops: (I combine b and c in my code) // (a) Swap 2 rows // (b) Multiply a row by a scalar // (c) Add 2 rows //if the matrix isn't square: exit (error) if (M.length !== M[0].length) { return; } //create the identity matrix (I), and a copy (C) of the original var i = 0, ii = 0, j = 0, dim = M.length, e = 0, t = 0; var I = [], C = []; for (i = 0; i < dim; i += 1) { // Create the row I[I.length] = []; C[C.length] = []; for (j = 0; j < dim; j += 1) { //if we're on the diagonal, put a 1 (for identity) if (i === j) { I[i][j] = 1; } else { I[i][j] = 0; } // Also, make the copy of the original C[i][j] = M[i][j]; } } // Perform elementary row operations for (i = 0; i < dim; i += 1) { // get the element e on the diagonal e = C[i][i]; // if we have a 0 on the diagonal (we'll need to swap with a lower row) if (e === 0) { //look through every row below the i'th row for (ii = i + 1; ii < dim; ii += 1) { //if the ii'th row has a non-0 in the i'th col if (C[ii][i] !== 0) { //it would make the diagonal have a non-0 so swap it for (j = 0; j < dim; j++) { e = C[i][j]; //temp store i'th row C[i][j] = C[ii][j]; //replace i'th row by ii'th C[ii][j] = e; //repace ii'th by temp e = I[i][j]; //temp store i'th row I[i][j] = I[ii][j]; //replace i'th row by ii'th I[ii][j] = e; //repace ii'th by temp } //don't bother checking other rows since we've swapped break; } } //get the new diagonal e = C[i][i]; //if it's still 0, not invertable (error) if (e === 0) { return; } } // Scale this row down by e (so we have a 1 on the diagonal) for (j = 0; j < dim; j++) { C[i][j] = C[i][j] / e; //apply to original matrix I[i][j] = I[i][j] / e; //apply to identity } // Subtract this row (scaled appropriately for each row) from ALL of // the other rows so that there will be 0's in this column in the // rows above and below this one for (ii = 0; ii < dim; ii++) { // Only apply to other rows (we want a 1 on the diagonal) if (ii === i) { continue; } // We want to change this element to 0 e = C[ii][i]; // Subtract (the row above(or below) scaled by e) from (the // current row) but start at the i'th column and assume all the // stuff left of diagonal is 0 (which it should be if we made this // algorithm correctly) for (j = 0; j < dim; j++) { C[ii][j] -= e * C[i][j]; //apply to original matrix I[ii][j] -= e * I[i][j]; //apply to identity } } } //we've done all operations, C should be the identity //matrix I should be the inverse: return I; } // from http://tech.pro/tutorial/1527/matrix-multiplication-in-functional-javascript export function multiplyMatrices(m1, m2) { var result = []; for (var i = 0; i < m1.length; i++) { result[i] = []; for (var j = 0; j < m2[0].length; j++) { var sum = 0; for (var k = 0; k < m1[0].length; k++) { sum += m1[i][k] * m2[k][j]; } result[i][j] = sum; } } return result; } /** * rotate * * @param theta (float): rotation angle in radians, measured clockwise * @return transformation matrix for rotation * * Note that for Canvas and SVG, the y axis points down: * * *---------> x * | * | * | * v * * y * * The transformation matrix returned takes this into account and is intentionally * different from the transformation matrix that would be returned if the y-axis * pointed up, as is common in many math classes. */ export function rotate(theta) { if (!isFinite(theta)) { throw new Error(`Invalid input: rotate(${theta}). Requires a finite number.`); } return [ [Math.cos(theta), -1 * Math.sin(theta), 0], [Math.sin(theta), Math.cos(theta), 0], [0, 0, 1] ]; } export function scale([xScale, yScale]) { if (!isFinite(xScale) || !isFinite(yScale)) { throw new Error(`Invalid input: rotate([${xScale}, ${yScale}]). Requires array of two finite numbers.`); } return [[xScale, 0, 0], [0, yScale, 0], [0, 0, 1]]; } export function translate([xTranslation, yTranslation]) { if (!isFinite(xTranslation) || !isFinite(yTranslation)) { throw new Error(`Invalid input: translate([${xTranslation}, ${yTranslation}]). Requires array of two finite numbers.`); } return [[1, 0, xTranslation], [0, 1, yTranslation], [0, 0, 1]]; } const transformations = { rotate, scale, translate }; export function getTransformationMatrix(transformationSequence) { // Start with identity matrix var concatenatedTransformationMatrix = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]; transformationSequence.forEach(function (transformation) { var thisTransformationMatrix = transformations[transformation.key](transformation.value); concatenatedTransformationMatrix = multiplyMatrices(concatenatedTransformationMatrix, thisTransformationMatrix); }); return concatenatedTransformationMatrix; } export function multiplyMatrixByVector(transformationMatrix, vector) { var x = vector[0][0] * transformationMatrix[0][0] + vector[1][0] * transformationMatrix[0][1] + vector[2][0] * transformationMatrix[0][2], y = vector[0][0] * transformationMatrix[1][0] + vector[1][0] * transformationMatrix[1][1] + vector[2][0] * transformationMatrix[1][2], z = vector[0][0] * transformationMatrix[2][0] + vector[1][0] * transformationMatrix[2][1] + vector[2][0] * transformationMatrix[2][2]; return [[x], [y], [z]]; } /** * sameSide * * Calculate whether the current edge's second point, a, (end of first segment) * and its final point, b, are both on the same side of the referenced edge. * * current edge: pipes/hyphens * referenced edge: dots * * Example of True * * p1 * . * . * *------------a * . | * . | * . | * . | * . | * . | * . | * . | * . | * . | * . *-----b * . * . * p2 * * * Example of False * * p1 * . * *------------a * . | * . | * . | * . | * . | * .| * |. * | . * | . * | . * *-----b . * . * p2 * * * @param {Object} p1 - first point of the referenced edge * @param {Object} p2 - last point of the referenced edge * @param {Object} a - last point of the first segment of the current edge (the point following the start point) * @param {Object} b - point where the current edge ends * @return {Boolean) - whether the last point of the first segment of the current edge is on the same side as the last point of the current edge */ export function sameSide(p1, p2, a, b) { const bMinusA = [b.x - a.x, b.y - a.y]; const p1MinusA = [p1.x - a.x, p1.y - a.y]; const p2MinusA = [p2.x - a.x, p2.y - a.y]; const crossProduct1 = crossProduct(bMinusA, p1MinusA); const crossProduct2 = crossProduct(bMinusA, p2MinusA); return Math.sign(crossProduct1) === Math.sign(crossProduct2); } export function transform({ element, transformOrigin, transformationSequence }) { const { x, y, width, height } = element; (transformOrigin = transformOrigin || "50% 50%"), (transformationSequence = transformationSequence || []); var transformOriginKeywordMappings = { left: "0%", center: "50%", right: "100%", top: "0%", bottom: "100%" }; var transformOriginKeywordMappingsKeys = Object.keys(transformOriginKeywordMappings); var transformOriginPoint = transformOrigin .split(" ") .map(function (value, i) { let numericOrPctValue; let numericValue; if (transformOriginKeywordMappingsKeys.indexOf(value) > -1) { numericOrPctValue = transformOriginKeywordMappings[value]; } else { numericOrPctValue = value; } if (numericOrPctValue.indexOf("%") > -1) { var decimalPercent = parseFloat(numericOrPctValue) / 100; if (i === 0) { numericValue = decimalPercent * width; } else { numericValue = decimalPercent * height; } } else if (value.indexOf("em") > -1) { // TODO refactor. this is hacky. numericValue = parseFloat(numericOrPctValue) * 12; } else { numericValue = parseFloat(numericOrPctValue); } if (i === 0) { numericValue += x; } else { numericValue += y; } return numericValue; }); // shift origin from top left corner of element bounding box to point specified by transformOrigin (default: center of bounding box) transformationSequence.unshift({ key: "translate", value: [transformOriginPoint[0], transformOriginPoint[1]] }); // shift origin back to top left corner of element bounding box transformationSequence.push({ key: "translate", value: [-1 * transformOriginPoint[0], -1 * transformOriginPoint[1]] }); var transformationMatrix = getTransformationMatrix(transformationSequence); var topLeftPoint = [[x], [y], [1]]; var bottomRightPoint = [[x + width], [y + height], [1]]; var topLeftPointTransformed = multiplyMatrixByVector(transformationMatrix, topLeftPoint); var bottomRightPointTransformed = multiplyMatrixByVector(transformationMatrix, bottomRightPoint); element.x = topLeftPointTransformed[0][0]; element.y = topLeftPointTransformed[1][0]; element.width = bottomRightPointTransformed[0][0] - element.x; element.height = bottomRightPointTransformed[1][0] - element.y; return element; } //# 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