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app_vue/node_modules/svgo/plugins/_transforms.js

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+'use strict';
+
+const regTransformTypes = /matrix|translate|scale|rotate|skewX|skewY/;
+const regTransformSplit =
+  /\s*(matrix|translate|scale|rotate|skewX|skewY)\s*\(\s*(.+?)\s*\)[\s,]*/;
+const regNumericValues = /[-+]?(?:\d*\.\d+|\d+\.?)(?:[eE][-+]?\d+)?/g;
+
+/**
+ * @typedef {{ name: string, data: Array<number> }} TransformItem
+ */
+
+/**
+ * Convert transform string to JS representation.
+ *
+ * @type {(transformString: string) => Array<TransformItem>}
+ */
+exports.transform2js = (transformString) => {
+  // JS representation of the transform data
+  /**
+   * @type {Array<TransformItem>}
+   */
+  const transforms = [];
+  // current transform context
+  /**
+   * @type {null | TransformItem}
+   */
+  let current = null;
+  // split value into ['', 'translate', '10 50', '', 'scale', '2', '', 'rotate', '-45', '']
+  for (const item of transformString.split(regTransformSplit)) {
+    var num;
+    if (item) {
+      // if item is a translate function
+      if (regTransformTypes.test(item)) {
+        // then collect it and change current context
+        current = { name: item, data: [] };
+        transforms.push(current);
+        // else if item is data
+      } else {
+        // then split it into [10, 50] and collect as context.data
+        // eslint-disable-next-line no-cond-assign
+        while ((num = regNumericValues.exec(item))) {
+          num = Number(num);
+          if (current != null) {
+            current.data.push(num);
+          }
+        }
+      }
+    }
+  }
+  // return empty array if broken transform (no data)
+  return current == null || current.data.length == 0 ? [] : transforms;
+};
+
+/**
+ * Multiply transforms into one.
+ *
+ * @type {(transforms: Array<TransformItem>) => TransformItem}
+ */
+exports.transformsMultiply = (transforms) => {
+  // convert transforms objects to the matrices
+  const matrixData = transforms.map((transform) => {
+    if (transform.name === 'matrix') {
+      return transform.data;
+    }
+    return transformToMatrix(transform);
+  });
+  // multiply all matrices into one
+  const matrixTransform = {
+    name: 'matrix',
+    data:
+      matrixData.length > 0 ? matrixData.reduce(multiplyTransformMatrices) : [],
+  };
+  return matrixTransform;
+};
+
+/**
+ * math utilities in radians.
+ */
+const mth = {
+  /**
+   * @type {(deg: number) => number}
+   */
+  rad: (deg) => {
+    return (deg * Math.PI) / 180;
+  },
+
+  /**
+   * @type {(rad: number) => number}
+   */
+  deg: (rad) => {
+    return (rad * 180) / Math.PI;
+  },
+
+  /**
+   * @type {(deg: number) => number}
+   */
+  cos: (deg) => {
+    return Math.cos(mth.rad(deg));
+  },
+
+  /**
+   * @type {(val: number, floatPrecision: number) => number}
+   */
+  acos: (val, floatPrecision) => {
+    return Number(mth.deg(Math.acos(val)).toFixed(floatPrecision));
+  },
+
+  /**
+   * @type {(deg: number) => number}
+   */
+  sin: (deg) => {
+    return Math.sin(mth.rad(deg));
+  },
+
+  /**
+   * @type {(val: number, floatPrecision: number) => number}
+   */
+  asin: (val, floatPrecision) => {
+    return Number(mth.deg(Math.asin(val)).toFixed(floatPrecision));
+  },
+
+  /**
+   * @type {(deg: number) => number}
+   */
+  tan: (deg) => {
+    return Math.tan(mth.rad(deg));
+  },
+
+  /**
+   * @type {(val: number, floatPrecision: number) => number}
+   */
+  atan: (val, floatPrecision) => {
+    return Number(mth.deg(Math.atan(val)).toFixed(floatPrecision));
+  },
+};
+
+/**
+ * @typedef {{
+ *   convertToShorts: boolean,
+ *   floatPrecision: number,
+ *   transformPrecision: number,
+ *   matrixToTransform: boolean,
+ *   shortTranslate: boolean,
+ *   shortScale: boolean,
+ *   shortRotate: boolean,
+ *   removeUseless: boolean,
+ *   collapseIntoOne: boolean,
+ *   leadingZero: boolean,
+ *   negativeExtraSpace: boolean,
+ * }} TransformParams
+ */
+
+/**
+ * Decompose matrix into simple transforms. See
+ * https://frederic-wang.fr/decomposition-of-2d-transform-matrices.html
+ *
+ * @type {(transform: TransformItem, params: TransformParams) => Array<TransformItem>}
+ */
+exports.matrixToTransform = (transform, params) => {
+  let floatPrecision = params.floatPrecision;
+  let data = transform.data;
+  let transforms = [];
+  let sx = Number(
+    Math.hypot(data[0], data[1]).toFixed(params.transformPrecision)
+  );
+  let sy = Number(
+    ((data[0] * data[3] - data[1] * data[2]) / sx).toFixed(
+      params.transformPrecision
+    )
+  );
+  let colsSum = data[0] * data[2] + data[1] * data[3];
+  let rowsSum = data[0] * data[1] + data[2] * data[3];
+  let scaleBefore = rowsSum != 0 || 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.hypot(data[0], data[2]);
+      sy = (data[3] < 0 ? -1 : 1) * Math.hypot(data[1], data[3]);
+      transforms.push({ name: 'scale', data: [sx, sy] });
+    }
+    var angle = Math.min(Math.max(-1, data[0] / sx), 1),
+      rotate = [
+        mth.acos(angle, floatPrecision) *
+          ((scaleBefore ? 1 : sy) * data[1] < 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 ? 1 : sy),
+        y = data[5] * (scaleBefore ? 1 : sx),
+        denom =
+          (Math.pow(1 - cos, 2) + Math.pow(sin, 2)) *
+          (scaleBefore ? 1 : 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.
+ *
+ * @type {(transform: TransformItem) => Array<number> }
+ */
+const transformToMatrix = (transform) => {
+  if (transform.name === 'matrix') {
+    return transform.data;
+  }
+  switch (transform.name) {
+    case 'translate':
+      // [1, 0, 0, 1, tx, ty]
+      return [1, 0, 0, 1, transform.data[0], transform.data[1] || 0];
+    case 'scale':
+      // [sx, 0, 0, sy, 0, 0]
+      return [
+        transform.data[0],
+        0,
+        0,
+        transform.data[1] || transform.data[0],
+        0,
+        0,
+      ];
+    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;
+      return [
+        cos,
+        sin,
+        -sin,
+        cos,
+        (1 - cos) * cx + sin * cy,
+        (1 - cos) * cy - sin * cx,
+      ];
+    case 'skewX':
+      // [1, 0, tan(a), 1, 0, 0]
+      return [1, 0, mth.tan(transform.data[0]), 1, 0, 0];
+    case 'skewY':
+      // [1, tan(a), 0, 1, 0, 0]
+      return [1, mth.tan(transform.data[0]), 0, 1, 0, 0];
+    default:
+      throw Error(`Unknown transform ${transform.name}`);
+  }
+};
+
+/**
+ * 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}})
+ *
+ * @type {(
+ *   cursor: [x: number, y: number],
+ *   arc: Array<number>,
+ *   transform: Array<number>
+ * ) => Array<number>}
+ */
+exports.transformArc = (cursor, arc, transform) => {
+  const x = arc[5] - cursor[0];
+  const y = arc[6] - cursor[1];
+  let a = arc[0];
+  let b = arc[1];
+  const rot = (arc[2] * Math.PI) / 180;
+  const cos = Math.cos(rot);
+  const sin = Math.sin(rot);
+  // skip if radius is 0
+  if (a > 0 && b > 0) {
+    let h =
+      Math.pow(x * cos + y * sin, 2) / (4 * a * a) +
+      Math.pow(y * cos - x * sin, 2) / (4 * b * b);
+    if (h > 1) {
+      h = Math.sqrt(h);
+      a *= h;
+      b *= h;
+    }
+  }
+  const ellipse = [a * cos, a * sin, -b * sin, b * cos, 0, 0];
+  const m = multiplyTransformMatrices(transform, ellipse);
+  // Decompose the new ellipse matrix
+  const lastCol = m[2] * m[2] + m[3] * m[3];
+  const squareSum = m[0] * m[0] + m[1] * m[1] + lastCol;
+  const root =
+    Math.hypot(m[0] - m[3], m[1] + m[2]) * Math.hypot(m[0] + m[3], m[1] - m[2]);
+
+  if (!root) {
+    // circle
+    arc[0] = arc[1] = Math.sqrt(squareSum / 2);
+    arc[2] = 0;
+  } else {
+    const majorAxisSqr = (squareSum + root) / 2;
+    const minorAxisSqr = (squareSum - root) / 2;
+    const major = Math.abs(majorAxisSqr - lastCol) > 1e-6;
+    const sub = (major ? majorAxisSqr : minorAxisSqr) - lastCol;
+    const rowsSum = m[0] * m[2] + m[1] * m[3];
+    const term1 = m[0] * sub + m[2] * rowsSum;
+    const 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.hypot(term1, term2)) *
+        180) /
+      Math.PI;
+  }
+
+  if (transform[0] < 0 !== transform[3] < 0) {
+    // Flip the sweep flag if coordinates are being flipped horizontally XOR vertically
+    arc[4] = 1 - arc[4];
+  }
+
+  return arc;
+};
+
+/**
+ * Multiply transformation matrices.
+ *
+ * @type {(a: Array<number>, b: Array<number>) => Array<number>}
+ */
+const 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],
+  ];
+};