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authorruki <waruqi@gmail.com>2018-11-08 00:38:48 +0800
committerruki <waruqi@gmail.com>2018-11-07 21:53:09 +0800
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treec459a5dc4e3aa0972d9919033ece511ce76dd129 /node_modules/svgo/plugins/_transforms.js
parent2c77f00f1a7ecb6c8192f9c16d3b2001b254a107 (diff)
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+'use strict';
+
+var regTransformTypes = /matrix|translate|scale|rotate|skewX|skewY/,
+ regTransformSplit = /\s*(matrix|translate|scale|rotate|skewX|skewY)\s*\(\s*(.+?)\s*\)[\s,]*/,
+ regNumericValues = /[-+]?(?:\d*\.\d+|\d+\.?)(?:[eE][-+]?\d+)?/g;
+
+/**
+ * Convert transform string to JS representation.
+ *
+ * @param {String} transformString input string
+ * @param {Object} params plugin params
+ * @return {Array} output array
+ */
+exports.transform2js = function(transformString) {
+
+ // JS representation of the transform data
+ var transforms = [],
+ // current transform context
+ current;
+
+ // split value into ['', 'translate', '10 50', '', 'scale', '2', '', 'rotate', '-45', '']
+ transformString.split(regTransformSplit).forEach(function(item) {
+ /*jshint -W084 */
+ var num;
+
+ if (item) {
+ // if item is a translate function
+ if (regTransformTypes.test(item)) {
+ // then collect it and change current context
+ transforms.push(current = { name: item });
+ // else if item is data
+ } else {
+ // then split it into [10, 50] and collect as context.data
+ while (num = regNumericValues.exec(item)) {
+ num = Number(num);
+ if (current.data)
+ current.data.push(num);
+ else
+ current.data = [num];
+ }
+ }
+ }
+ });
+
+ return transforms;
+
+};
+
+/**
+ * Multiply transforms into one.
+ *
+ * @param {Array} input transforms array
+ * @return {Array} output matrix array
+ */
+exports.transformsMultiply = function(transforms) {
+
+ // convert transforms objects to the matrices
+ transforms = transforms.map(function(transform) {
+ if (transform.name === 'matrix') {
+ return transform.data;
+ }
+ return transformToMatrix(transform);
+ });
+
+ // multiply all matrices into one
+ transforms = {
+ name: 'matrix',
+ data: transforms.reduce(function(a, b) {
+ return multiplyTransformMatrices(a, b);
+ })
+ };
+
+ return transforms;
+
+};
+
+/**
+ * Do math like a schoolgirl.
+ *
+ * @type {Object}
+ */
+var mth = exports.mth = {
+
+ rad: function(deg) {
+ return deg * Math.PI / 180;
+ },
+
+ deg: function(rad) {
+ return rad * 180 / Math.PI;
+ },
+
+ cos: function(deg) {
+ return Math.cos(this.rad(deg));
+ },
+
+ acos: function(val, floatPrecision) {
+ return +(this.deg(Math.acos(val)).toFixed(floatPrecision));
+ },
+
+ sin: function(deg) {
+ return Math.sin(this.rad(deg));
+ },
+
+ asin: function(val, floatPrecision) {
+ return +(this.deg(Math.asin(val)).toFixed(floatPrecision));
+ },
+
+ tan: function(deg) {
+ return Math.tan(this.rad(deg));
+ },
+
+ atan: function(val, floatPrecision) {
+ return +(this.deg(Math.atan(val)).toFixed(floatPrecision));
+ }
+
+};
+
+/**
+ * Decompose matrix into simple transforms. See
+ * http://www.maths-informatique-jeux.com/blog/frederic/?post/2013/12/01/Decomposition-of-2D-transform-matrices
+ *
+ * @param {Object} data matrix transform object
+ * @return {Object|Array} transforms array or original transform object
+ */
+exports.matrixToTransform = function(transform, params) {
+ var floatPrecision = params.floatPrecision,
+ data = transform.data,
+ transforms = [],
+ sx = +Math.sqrt(data[0] * data[0] + data[1] * data[1]).toFixed(params.transformPrecision),
+ sy = +((data[0] * data[3] - data[1] * data[2]) / sx).toFixed(params.transformPrecision),
+ colsSum = data[0] * data[2] + data[1] * data[3],
+ rowsSum = data[0] * data[1] + data[2] * data[3],
+ scaleBefore = rowsSum || +(sx == sy);
+
+ // [..., ..., ..., ..., tx, ty] → translate(tx, ty)
+ if (data[4] || data[5]) {
+ transforms.push({ name: 'translate', data: data.slice(4, data[5] ? 6 : 5) });
+ }
+
+ // [sx, 0, tan(a)·sy, sy, 0, 0] → skewX(a)·scale(sx, sy)
+ if (!data[1] && data[2]) {
+ transforms.push({ name: 'skewX', data: [mth.atan(data[2] / sy, floatPrecision)] });
+
+ // [sx, sx·tan(a), 0, sy, 0, 0] → skewY(a)·scale(sx, sy)
+ } else if (data[1] && !data[2]) {
+ transforms.push({ name: 'skewY', data: [mth.atan(data[1] / data[0], floatPrecision)] });
+ sx = data[0];
+ sy = data[3];
+
+ // [sx·cos(a), sx·sin(a), sy·-sin(a), sy·cos(a), x, y] → rotate(a[, cx, cy])·(scale or skewX) or
+ // [sx·cos(a), sy·sin(a), sx·-sin(a), sy·cos(a), x, y] → scale(sx, sy)·rotate(a[, cx, cy]) (if !scaleBefore)
+ } else if (!colsSum || (sx == 1 && sy == 1) || !scaleBefore) {
+ if (!scaleBefore) {
+ sx = (data[0] < 0 ? -1 : 1) * Math.sqrt(data[0] * data[0] + data[2] * data[2]);
+ sy = (data[3] < 0 ? -1 : 1) * Math.sqrt(data[1] * data[1] + data[3] * data[3]);
+ transforms.push({ name: 'scale', data: [sx, sy] });
+ }
+ var rotate = [mth.acos(data[0] / sx, floatPrecision) * (data[1] * sy < 0 ? -1 : 1)];
+
+ if (rotate[0]) transforms.push({ name: 'rotate', data: rotate });
+
+ if (rowsSum && colsSum) transforms.push({
+ name: 'skewX',
+ data: [mth.atan(colsSum / (sx * sx), floatPrecision)]
+ });
+
+ // rotate(a, cx, cy) can consume translate() within optional arguments cx, cy (rotation point)
+ if (rotate[0] && (data[4] || data[5])) {
+ transforms.shift();
+ var cos = data[0] / sx,
+ sin = data[1] / (scaleBefore ? sx : sy),
+ x = data[4] * (scaleBefore || sy),
+ y = data[5] * (scaleBefore || sx),
+ denom = (Math.pow(1 - cos, 2) + Math.pow(sin, 2)) * (scaleBefore || sx * sy);
+ rotate.push(((1 - cos) * x - sin * y) / denom);
+ rotate.push(((1 - cos) * y + sin * x) / denom);
+ }
+
+ // Too many transformations, return original matrix if it isn't just a scale/translate
+ } else if (data[1] || data[2]) {
+ return transform;
+ }
+
+ if (scaleBefore && (sx != 1 || sy != 1) || !transforms.length) transforms.push({
+ name: 'scale',
+ data: sx == sy ? [sx] : [sx, sy]
+ });
+
+ return transforms;
+};
+
+/**
+ * Convert transform to the matrix data.
+ *
+ * @param {Object} transform transform object
+ * @return {Array} matrix data
+ */
+function transformToMatrix(transform) {
+
+ if (transform.name === 'matrix') return transform.data;
+
+ var matrix;
+
+ switch (transform.name) {
+ case 'translate':
+ // [1, 0, 0, 1, tx, ty]
+ matrix = [1, 0, 0, 1, transform.data[0], transform.data[1] || 0];
+ break;
+ case 'scale':
+ // [sx, 0, 0, sy, 0, 0]
+ matrix = [transform.data[0], 0, 0, transform.data[1] || transform.data[0], 0, 0];
+ break;
+ case 'rotate':
+ // [cos(a), sin(a), -sin(a), cos(a), x, y]
+ var cos = mth.cos(transform.data[0]),
+ sin = mth.sin(transform.data[0]),
+ cx = transform.data[1] || 0,
+ cy = transform.data[2] || 0;
+
+ matrix = [cos, sin, -sin, cos, (1 - cos) * cx + sin * cy, (1 - cos) * cy - sin * cx];
+ break;
+ case 'skewX':
+ // [1, 0, tan(a), 1, 0, 0]
+ matrix = [1, 0, mth.tan(transform.data[0]), 1, 0, 0];
+ break;
+ case 'skewY':
+ // [1, tan(a), 0, 1, 0, 0]
+ matrix = [1, mth.tan(transform.data[0]), 0, 1, 0, 0];
+ break;
+ }
+
+ return matrix;
+
+}
+
+/**
+ * Applies transformation to an arc. To do so, we represent ellipse as a matrix, multiply it
+ * by the transformation matrix and use a singular value decomposition to represent in a form
+ * rotate(θ)·scale(a b)·rotate(φ). This gives us new ellipse params a, b and θ.
+ * SVD is being done with the formulae provided by Wolffram|Alpha (svd {{m0, m2}, {m1, m3}})
+ *
+ * @param {Array} arc [a, b, rotation in deg]
+ * @param {Array} transform transformation matrix
+ * @return {Array} arc transformed input arc
+ */
+exports.transformArc = function(arc, transform) {
+
+ var a = arc[0],
+ b = arc[1],
+ rot = arc[2] * Math.PI / 180,
+ cos = Math.cos(rot),
+ sin = Math.sin(rot),
+ h = Math.pow(arc[5] * cos + arc[6] * sin, 2) / (4 * a * a) +
+ Math.pow(arc[6] * cos - arc[5] * sin, 2) / (4 * b * b);
+ if (h > 1) {
+ h = Math.sqrt(h);
+ a *= h;
+ b *= h;
+ }
+ var ellipse = [a * cos, a * sin, -b * sin, b * cos, 0, 0],
+ m = multiplyTransformMatrices(transform, ellipse),
+ // Decompose the new ellipse matrix
+ lastCol = m[2] * m[2] + m[3] * m[3],
+ squareSum = m[0] * m[0] + m[1] * m[1] + lastCol,
+ root = Math.sqrt(
+ (Math.pow(m[0] - m[3], 2) + Math.pow(m[1] + m[2], 2)) *
+ (Math.pow(m[0] + m[3], 2) + Math.pow(m[1] - m[2], 2))
+ );
+
+ if (!root) { // circle
+ arc[0] = arc[1] = Math.sqrt(squareSum / 2);
+ arc[2] = 0;
+ } else {
+ var majorAxisSqr = (squareSum + root) / 2,
+ minorAxisSqr = (squareSum - root) / 2,
+ major = Math.abs(majorAxisSqr - lastCol) > 1e-6,
+ sub = (major ? majorAxisSqr : minorAxisSqr) - lastCol,
+ rowsSum = m[0] * m[2] + m[1] * m[3],
+ term1 = m[0] * sub + m[2] * rowsSum,
+ term2 = m[1] * sub + m[3] * rowsSum;
+ arc[0] = Math.sqrt(majorAxisSqr);
+ arc[1] = Math.sqrt(minorAxisSqr);
+ arc[2] = ((major ? term2 < 0 : term1 > 0) ? -1 : 1) *
+ Math.acos((major ? term1 : term2) / Math.sqrt(term1 * term1 + term2 * term2)) * 180 / Math.PI;
+ }
+ return arc;
+
+};
+
+/**
+ * Multiply transformation matrices.
+ *
+ * @param {Array} a matrix A data
+ * @param {Array} b matrix B data
+ * @return {Array} result
+ */
+function multiplyTransformMatrices(a, b) {
+
+ return [
+ a[0] * b[0] + a[2] * b[1],
+ a[1] * b[0] + a[3] * b[1],
+ a[0] * b[2] + a[2] * b[3],
+ a[1] * b[2] + a[3] * b[3],
+ a[0] * b[4] + a[2] * b[5] + a[4],
+ a[1] * b[4] + a[3] * b[5] + a[5]
+ ];
+
+}