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| author | ruki <waruqi@gmail.com> | 2018-11-08 00:38:48 +0800 |
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| committer | ruki <waruqi@gmail.com> | 2018-11-07 21:53:09 +0800 |
| commit | 26105034da4fcce7ac883c899d781f016559310d (patch) | |
| tree | c459a5dc4e3aa0972d9919033ece511ce76dd129 /node_modules/svgo/plugins/_transforms.js | |
| parent | 2c77f00f1a7ecb6c8192f9c16d3b2001b254a107 (diff) | |
| download | xmake-docs-26105034da4fcce7ac883c899d781f016559310d.tar.gz xmake-docs-26105034da4fcce7ac883c899d781f016559310d.zip | |
switch to vuepress
Diffstat (limited to 'node_modules/svgo/plugins/_transforms.js')
| -rw-r--r-- | node_modules/svgo/plugins/_transforms.js | 308 |
1 files changed, 308 insertions, 0 deletions
diff --git a/node_modules/svgo/plugins/_transforms.js b/node_modules/svgo/plugins/_transforms.js new file mode 100644 index 00000000..796ca259 --- /dev/null +++ b/node_modules/svgo/plugins/_transforms.js @@ -0,0 +1,308 @@ +'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] + ]; + +} |
