]> source.dussan.org Git - svg.js.git/commitdiff
Added matrix composition and decompositions
authorSaivan <savian@me.com>
Sat, 3 Mar 2018 11:08:26 +0000 (22:08 +1100)
committerSaivan <savian@me.com>
Sat, 3 Mar 2018 11:08:26 +0000 (22:08 +1100)
This commit adds matrix composition and decompositions (untested),
it also adds another playground to test that this is working as
expected in every case.

We also fixed a few linting errors.

13 files changed:
dist/svg.js
dist/svg.min.js
playgrounds/matrix/drag.js [new file with mode: 0644]
playgrounds/matrix/matrix.html [new file with mode: 0644]
playgrounds/matrix/matrix.js [new file with mode: 0644]
playgrounds/playground.css
playgrounds/transforms/transforms.html
playgrounds/transforms/transforms.js
spec/SpecRunner.html
src/helpers.js
src/matrix.js
src/sugar.js
src/transform.js

index d90fdbbc27ce62a7ff583f68645f6e1a05b34dc0..e4019f41a51cfc86e4340268a80f5716ed685c15 100644 (file)
@@ -6,7 +6,7 @@
 * @copyright Wout Fierens <wout@mick-wout.com>
 * @license MIT
 *
-* BUILT: Fri Mar 02 2018 23:08:28 GMT+1100 (AEDT)
+* BUILT: Sat Mar 03 2018 22:06:07 GMT+1100 (AEDT)
 */;
 
 (function(root, factory) {
@@ -2232,7 +2232,7 @@ SVG.extend(SVG.FX, {
   }
 })
 
-/* global abcdef, arrayToMatrix, parseMatrix, unitCircle, mag */
+/* global abcdef, arrayToMatrix, parseMatrix, closeEnough */
 
 SVG.Matrix = SVG.invent({
   // Initialize
@@ -2259,12 +2259,13 @@ SVG.Matrix = SVG.invent({
   // Add methods
   extend: {
 
+    // Clones this matrix
     clone: function () {
       return new SVG.Matrix(this)
     },
 
-    // Clone matrix
-    affine: function (o) {
+    // Transform a matrix into another matrix by manipulating the space
+    transform: function (o) {
       // Get all of the parameters required to form the matrix
       var flipX = o.flip && (o.flip === 'x' || o.flip === 'both') ? -1 : 1
       var flipY = o.flip && (o.flip === 'y' || o.flip === 'both') ? -1 : 1
@@ -2292,6 +2293,9 @@ SVG.Matrix = SVG.invent({
       var py = o.position && o.position.length ? o.position[1] : o.py
       var tx = o.translate && o.translate.length ? o.translate[0] : o.tx || 0
       var ty = o.translate && o.translate.length ? o.translate[1] : o.ty || 0
+      var rx = o.relative && o.relative.length ? o.relative[0] : o.rx || 0
+      var ry = o.relative && o.relative.length ? o.relative[1] : o.ry || 0
+      var currentTransform = new SVG.Matrix(this)
 
       // Construct the resulting matrix
       var transformer = new SVG.Matrix()
@@ -2301,35 +2305,103 @@ SVG.Matrix = SVG.invent({
         .shear(shear)
         .rotate(theta)
         .translate(ox, oy)
-        .translate(tx, ty)
-        .lmultiply(new SVG.Matrix(this))
+        .translate(rx, ry)
+        .lmultiply(currentTransform)
 
       // If we want the origin at a particular place, we force it there
       if (isFinite(px) && isFinite(py)) {
         // Figure out where the origin went and the delta to get there
-        var p = new SVG.Point(ox - tx, oy - ty).transform(transformer)
+        var p = new SVG.Point(ox - rx, oy - ry).transform(transformer)
         var dx = px - p.x
         var dy = py - p.y
 
         // Apply another translation
         transformer = transformer.translate(dx, dy)
       }
+
+      // We can apply translations after everything else
+      transformer = transformer.translate(tx, ty)
       return transformer
     },
 
+    // Applies a matrix defined by its affine parameters
+    compose: function (o) {
+      // Get the parameters
+      var sx = o.scaleX
+      var sy = o.scaleY
+      var lam = o.shear
+      var theta = o.rotate
+      var tx = o.translateX
+      var ty = o.translateY
+
+      // Apply the standard matrix
+      var result = new SVG.Matrix()
+        .scale(sx, sy)
+        .shear(lam)
+        .rotate(theta)
+        .translate(tx, ty)
+        .lmultiply(this)
+      return result
+    },
+
+    // Decomposes this matrix into its affine parameters
+    decompose: function () {
+      // Get the parameters from the matrix
+      var a = this.a
+      var b = this.b
+      var c = this.c
+      var d = this.d
+      var e = this.e
+      var f = this.f
+
+      // Figure out if the winding direction is clockwise or counterclockwise
+      var determinant = a * d - b * c
+      var ccw = determinant > 0 ? -1 : 1
+
+      // Since we only shear in x, we can use the x basis to get the x scale
+      // and the rotation of the resulting matrix
+      var sx = ccw * Math.sqrt(a * a + b * b)
+      var theta = 180 / Math.PI * Math.atan2(ccw * b, ccw * a)
+
+      // We can then solve the y basis vector simultaneously to get the other
+      // two affine parameters directly from these parameters
+      var lam = (a * c + b * d) / determinant
+      var sy = ((c * sx) / (lam * a - b)) || ((d * sx) / (lam * b + a))
+
+      // Construct the decomposition and return it
+      return {
+        // Return the affine parameters
+        scaleX: sx,
+        scaleY: sy,
+        shear: lam,
+        rotate: theta,
+        translateX: e,
+        translateY: f,
+
+        // Return the matrix parameters
+        matrix: this,
+        a: this.a,
+        b: this.b,
+        c: this.c,
+        d: this.d,
+        e: this.e,
+        f: this.f,
+      }
+    },
+
     // Morph one matrix into another
     morph: function (matrix) {
-      // store new destination
+      // Store new destination
       this.destination = new SVG.Matrix(matrix)
       return this
     },
 
     // Get morphed matrix at a given position
     at: function (pos) {
-      // make sure a destination is defined
+      // Make sure a destination is defined
       if (!this.destination) return this
 
-      // calculate morphed matrix at a given position
+      // Calculate morphed matrix at a given position
       var matrix = new SVG.Matrix({
         a: this.a + (this.destination.a - this.a) * pos,
         b: this.b + (this.destination.b - this.b) * pos,
@@ -2416,7 +2488,7 @@ SVG.Matrix = SVG.invent({
 
     // Shear matrix
     shear: function (a, cx, cy) {
-      var shear = new SVG.Matrix(1, a, 0, 1, 0, 0)
+      var shear = new SVG.Matrix(1, 0, a, 1, 0, 0)
       var matrix = this.around(cx, cy, shear)
       return matrix
     },
@@ -2475,12 +2547,9 @@ SVG.Matrix = SVG.invent({
     // Check if two matrices are equal
     equals: function (other) {
       var comp = parseMatrix(other)
-      return closeEnough(this.a, comp.a)
-        && closeEnough(this.b, comp.b)
-        && closeEnough(this.c, comp.c)
-        && closeEnough(this.d, comp.d)
-        && closeEnough(this.e, comp.e)
-        && closeEnough(this.f, comp.f)
+      return closeEnough(this.a, comp.a) && closeEnough(this.b, comp.b) &&
+        closeEnough(this.c, comp.c) && closeEnough(this.d, comp.d) &&
+        closeEnough(this.e, comp.e) && closeEnough(this.f, comp.f)
     },
 
     // Convert matrix to string
@@ -2682,8 +2751,9 @@ SVG.extend(SVG.Element, {
       .reverse()
       // merge every transformation into one matrix
       .reduce(function (matrix, transform) {
-        if (transform[0] === 'matrix')
+        if (transform[0] === 'matrix') {
           return matrix.lmultiply(arrayToMatrix(transform[1]))
+        }
         return matrix[transform[0]].apply(matrix, transform[1])
       }, new SVG.Matrix())
 
@@ -2716,11 +2786,10 @@ SVG.extend(SVG.Element, {
 
     // Act as a getter if no object was passed
     if (o == null) {
-      return new SVG.Matrix(this)
+      return new SVG.Matrix(this).decompose()
 
     // Let the user pass in a matrix as well
     } else if (o.a != null) {
-
       // Construct a matrix from the first parameter
       var matrix = new SVG.Matrix(o)
 
@@ -2734,8 +2803,9 @@ SVG.extend(SVG.Element, {
       return this.attr('transform', matrix)
 
     // Allow the user to define the origin with a string
-    } else if (typeof o.origin === 'string'
-      || (o.origin == null && o.ox == null && o.oy == null)) {
+    } else if (typeof o.origin === 'string' ||
+      (o.origin == null && o.ox == null && o.oy == null)
+    ) {
       // Get the bounding box and string to use in our calculations
       var string = typeof o.origin === 'string'
         ? o.origin.toLowerCase().trim()
@@ -2758,12 +2828,12 @@ SVG.extend(SVG.Element, {
     }
 
     // The user can pass a boolean, an SVG.Element or an SVG.Matrix or nothing
-    var result = new SVG.Matrix(cyOrRel === true ? this : cyOrRel).affine(o)
+    var result = new SVG.Matrix(cyOrRel === true ? this : cyOrRel).transform(o)
     var matrixString = result.toString()
 
     // Apply the result directly to this matrix
     return this.attr('transform', matrixString)
-  },
+  }
 })
 
 SVG.extend(SVG.FX, {
@@ -4831,6 +4901,10 @@ SVG.extend([SVG.Element, SVG.FX], {
       : this.transform({skew: [x, y], origin: [cx, cy]}, true)
   },
 
+  shear: function (lam, cx, cy) {
+    return this.transform({shear: lam, origin: [cx, cy]}, true)
+  },
+
   // Map scale to transform
   scale: function (x, y, cx, cy) {
     return arguments.length === 1 || arguments.length === 3
@@ -4843,13 +4917,18 @@ SVG.extend([SVG.Element, SVG.FX], {
     return this.transform({ translate: [x, y] }, true)
   },
 
+  // Map relative translations to transform
+  relative: function (x, y) {
+    return this.transform({ relative: [x, y] }, true)
+  },
+
   // Map flip to transform
   flip: function (direction, around) {
-    var origin = (direction === "both" && isFinite(around)) ? [around, around]
-      : (direction === "x") ? [around, 0]
-      : (direction === "y") ? [0, around]
+    var origin = (direction === 'both' && isFinite(around)) ? [around, around]
+      : (direction === 'x') ? [around, 0]
+      : (direction === 'y') ? [0, around]
       : [0, 0]
-    this.transform({flip: direction || "both", origin: origin}, true)
+    this.transform({flip: direction || 'both', origin: origin}, true)
   },
 
   // Opacity
@@ -5218,23 +5297,8 @@ function idFromReference (url) {
 // Create matrix array for looping
 var abcdef = 'abcdef'.split('')
 
-// Gets the distance of a point (a, b) from the origin
-function mag (a, b) {
-  return Math.sqrt(a * a + b * b)
-}
-
-// Given a coordinate (a, b), this will calculate the sin, cosine and angle
-// of this point projected onto the unit circle directly
-function unitCircle (a, b) {
-  var thetaRad = Math.atan2(b, a)
-  var thetaDeg = thetaRad * 180 / Math.PI
-  var cos = Math.cos(thetaRad)
-  var sin = Math.sin(thetaRad)
-  return {theta: thetaDeg, cos: cos, sin: sin}
-}
-
 function closeEnough (a, b, threshold) {
-  return Math.abs (b - a) < (threshold || 1e-6)
+  return Math.abs(b - a) < (threshold || 1e-6)
 }
 
 /* globals fullBox, domContains, isNulledBox, Exception */
index 5c7b7403b92da43bb0fc3172d5c098f2eccd013a..fb8e1a99a17d23d92e57bbfd530618efebed5a40 100644 (file)
@@ -1,2 +1,2 @@
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\ No newline at end of file
diff --git a/playgrounds/matrix/drag.js b/playgrounds/matrix/drag.js
new file mode 100644 (file)
index 0000000..636ae30
--- /dev/null
@@ -0,0 +1,79 @@
+
+function reactToDrag (element, onDrag, beforeDrag) {
+
+    let xStart, yStart
+
+    let startDrag = event=> {
+
+        // Avoid the default events
+        event.preventDefault()
+
+        // Store the position where the drag started
+        xStart = event.pageX
+        yStart = event.pageY
+
+        // Fire the start drag event
+        if (beforeDrag) {
+          var {x, y} = parent.point(event.pageX, event.pageY)
+          beforeDrag(event, x, y)
+        }
+
+        // Register events to react to dragging
+        SVG.on(window, 'mousemove.drag', reactDrag)
+        SVG.on(window, 'touchmove.drag', reactDrag)
+
+        // Register the events required to finish dragging
+        SVG.on(window, 'mouseup.drag', stopDrag)
+        SVG.on(window, 'touchend.drag', stopDrag)
+    }
+
+    let reactDrag = event=> {
+
+        // Convert screen coordinates to svg coordinates and use them
+        var {x, y} = parent.point(event.pageX, event.pageY)
+        if (onDrag)
+          onDrag(event, x, y)
+    }
+
+    let stopDrag = event=> {
+        SVG.off(window, 'mousemove.drag')
+        SVG.off(window, 'touchmove.drag')
+        SVG.off(window, 'mouseup.drag')
+        SVG.off(window, 'touchend.drag')
+    }
+
+    // Bind the drag tracker to this element directly
+    let parent = element.doc()
+    let point = new SVG.Point()
+    element.mousedown(startDrag).touchstart(startDrag)
+}
+
+SVG.extend(SVG.Element, {
+  draggable: function (after) {
+
+    let sx, sy
+
+    reactToDrag(this, (e, x, y)=> {
+
+      let matrix = this.transform
+      this.transform({
+        origin: [sx, sy],
+        position: [x, y],
+      })
+
+      if (after) {
+        after(this, x, y)
+      }
+
+    }, (e, x, y)=> {
+
+      var toAbsolute = this.transform().inverse()
+      var p = new SVG.Point(x, y).transform(toAbsolute)
+      sx = p.x
+      sy = p.y
+
+    })
+
+    return this
+  },
+})
diff --git a/playgrounds/matrix/matrix.html b/playgrounds/matrix/matrix.html
new file mode 100644 (file)
index 0000000..cd34b7d
--- /dev/null
@@ -0,0 +1,47 @@
+
+<!DOCTYPE html>
+<html>
+
+  <head>
+    <meta charset="utf-8">
+    <title>SVG Playground</title>
+    <link rel="stylesheet" href="../playground.css">
+  </head>
+
+  <body>
+
+    <h1>SVG Transformations</h1>
+
+    <p>
+      This playground tests the <code>compose/decompose</code> functionality in
+      svg matrix, as well as the draggable code and the transformations.
+    </p>
+
+    <svg viewBox="-200 -200 400 400">
+
+      <g id="tester">
+        <rect class="green" width=50 height=50 />
+        <line x2=50 stroke=black stroke-width=1 />
+      </g>
+
+      <g id="guess">
+        <rect class="dark-pink" width=50 height=50 opacity=0.5 />
+        <line x2=50 stroke=black stroke-width=1 />
+      </g>
+      <g id="true">
+        <rect class="pink" width=50 height=50 opacity=0.5 />
+        <line x2=50 stroke=black stroke-width=1 />
+      </g>
+      <ellipse id="or" class="dark-pink" rx=5 ry=5 />
+      <ellipse id="b1" class="pink" cx="50" rx=5 ry=5 />
+      <ellipse id="b2" class="green" cy="50" rx=5 ry=5 />
+
+    </svg>
+
+  </body>
+
+  <script src="../../dist/svg.js" charset="utf-8"></script>
+  <script src="drag.js" charset="utf-8"></script>
+  <script src="matrix.js" charset="utf-8"></script>
+
+</html>
diff --git a/playgrounds/matrix/matrix.js b/playgrounds/matrix/matrix.js
new file mode 100644 (file)
index 0000000..33e21d1
--- /dev/null
@@ -0,0 +1,41 @@
+
+function print (mat) {
+  let {a, b, c, d} = mat
+  console.log(`
+    a: ${a.toFixed(2)}
+    b: ${b.toFixed(2)}
+    c: ${c.toFixed(2)}
+    d: ${d.toFixed(2)}
+    `)
+}
+
+function moveit () {
+
+  let {cx: x0, cy: y0} = or.rbox(svg)
+  let {cx: x1, cy: y1} = b1.rbox(svg)
+  let {cx: x2, cy: y2} = b2.rbox(svg)
+
+  let m = new SVG.Matrix(
+    (x1 - x0) / 50, (y1 - y0) / 50, (x2 - x0) / 50, (y2 - y0) / 50, x0, y0)
+  let com = m.decompose()
+  let g = new SVG.Matrix().compose(com)
+
+  // Transform both of the items
+  target.transform(m)
+  mover.transform(g)
+
+  console.log(com);
+  print(m)
+  print(g)
+}
+
+// Declare the two points
+let svg = SVG('svg')
+var or = SVG("#or").draggable(moveit)
+var b1 = SVG("#b1").draggable(moveit)
+var b2 = SVG("#b2").draggable(moveit)
+
+// Declare the squares
+let target = SVG("#true")
+let mover = SVG("#guess")
+let tester = SVG("#tester")
index 1808d6a42a060db6032da18a25d5966f698888d8..71fabed079e7525ef7ae22e74c51136eab9af595 100644 (file)
@@ -1,24 +1,53 @@
 
+* {
+  box-sizing: border-box;
+}
+
 html {
   background-color : #f5f6f7;
-  text-align: center;
+  /* text-align: center; */
+}
+
+body {
+  margin: 0;
+  width: 100vw;
+  height: 99vh;
+  grid-gap: 30px;
+  display: inline-grid;
+  align-items: center;
+  grid-template-columns: 10vw 40vw auto 10vw;
+  grid-template-rows: 0 10vw auto 0;
 }
 
 h1 {
+  text-align: right;
+  border-right: solid 3px #f06;
+  padding-right: 12px;
   color: #f06;
-  font-size: 6vh;
-  margin: 4vh;
+  font-size: 52px;
+  font-family: Helvetica;
+  grid-row: 2;
+  grid-column: 2;
+  line-height: 1.8em;
+}
+
+p {
+  padding-right: 50px;
+  color: #444;
+  font-size: 18px;
   font-family: Helvetica;
+  grid-row: 2;
+  grid-column: 3;
 }
 
 svg {
-  width: 70vw;
-  height: 80vh;
+  height: 100%;
+  width: 100%;
+  grid-row: 3;
+  grid-column: 2/4;
   background-color: white;
-  position: fixed;
   border-radius: 20px;
   border: #f065 1px solid;
-  left: 15vw;
 }
 
 .pink {
index d206d06b8ec6902199a153be0ee662eda2748959..ac60f146be562c60c33bf8c455f5b0eb5edc5c57 100644 (file)
 
     <h1>SVG JS Playground</h1>
 
-    <svg viewBox="0 0 2000 2000">
+    <svg viewBox="-200 -200 400 400">
 
-      <!-- <rect id="old" x=200 y=400 width=200 height=400 class="green"/>
+      <rect id="old" x=200 y=400 width=200 height=400 class="green"/>
       <rect id="new" x=200 y=400 width=200 height=400 class="pink"/>
-      <ellipse id="new" cx=800 cy=500 rx=10 ry=10 class="dark-pink"/> -->
-      <!-- <ellipse cx=0 cy=0 rx=3 ry=3 />
-      <ellipse cx=100 cy=0 rx=3 ry=3 />
-      <ellipse cx=0 cy=100 rx=3 ry=3 />
-      <ellipse cx=100 cy=100 rx=3 ry=3 />
-      <ellipse fill=red cx=0 cy=0 rx=3 ry=3 />
-      <ellipse fill=red cx=100 cy=0 rx=3 ry=3 />
-      <ellipse fill=red cx=0 cy=100 rx=3 ry=3 /> -->
-      <!-- <ellipse fill=red cx=100 cy=100 rx=3 ry=3 /> -->
+      <ellipse id="new" cx=800 cy=500 rx=10 ry=10 class="dark-pink"/>
+
     </svg>
 
   </body>
index 76045a34faac31f293de40adc540a1a92e773b6a..b27e1c371652a3e3898cbada273c025589459e6d 100644 (file)
@@ -1,51 +1,9 @@
 
-// let mover = SVG.select("#new")[0]
-// mover.transform({
-//   // position: [800, 500],
-//   // origin: [200, 400],
-//   // skew: [20, 0],
-//   // rotate: 30,
-// })
 
-
-// var draw = SVG.select('svg')[0]
-// var rect = draw.rect(100, 100)
-//   .transform({
-//     // rotate: -10,
-//     translate: [-50, -50],
-//     // scale: 2
-//   }).opacity(0.3)
-//
-//
-// var es = SVG.select('ellipse')
-
-draw = SVG("svg")
-
-offset = draw.screenCTM()
-draw.viewbox(100,100, 1000, 1000)
-nested = draw.nested().size(500, 500).move(100,100).viewbox(0, 0, 400, 400)
-rect = nested.rect(50, 50).stroke({width:0}).move(25, 90).scale(2, 0, 0).translate(10, 10).fill("red")
-
-
-var box = rect.rbox()
-
-console.log(box.x - offset.e, box.y - offset.f);
-
-
-div = document.createElement('div')
-
-Object.assign(div.style, {
-  position : 'absolute',
-  left : box.x + 'px',
-  top : box.y + 'px',
-  width : box.width + 'px',
-  opacity : 0.4,
-  height : box.height + 'px',
-  background : 'blue',
+let mover = SVG.select("#new")[0]
+mover.transform({
+  position: [800, 500],
+  origin: [200, 400],
+  skew: [20, 0],
+  rotate: 30,
 })
-
-
-document.body.appendChild(div)
-
-// rect1.toParent(nested).transform()
-// rect2.toParent(g2).transform()
index 86b60f94f79a71d3717f3ca770fd15e698980b8d..118f7bbd123975080c168a9d3ab4dfc9548ea537 100644 (file)
@@ -67,7 +67,7 @@
   <script src="spec/element.js"></script>
   <script src="spec/ellipse.js"></script>
   <script src="spec/event.js"></script>
-  <!-- <script src="spec/fx.js"></script> -->
+  <script src="spec/fx.js"></script>
   <script src="spec/gradient.js"></script>
   <script src="spec/group.js"></script>
   <script src="spec/helper.js"></script>
@@ -92,7 +92,7 @@
   <script src="spec/symbol.js"></script>
   <script src="spec/text.js"></script>
   <script src="spec/textpath.js"></script>
-  <!-- <script src="spec/transformations.js"></script> -->
+  <script src="spec/transformations.js"></script>
   <script src="spec/tspan.js"></script>
   <script src="spec/use.js"></script>
   <script src="spec/utils.js"></script>
index 16e6e4ea29a70bda133ace5bf076a82d50467441..5a15bf9bb3a076bd3009395938abe3c5d67987cc 100644 (file)
@@ -209,21 +209,6 @@ function idFromReference (url) {
 // Create matrix array for looping
 var abcdef = 'abcdef'.split('')
 
-// Gets the distance of a point (a, b) from the origin
-function mag (a, b) {
-  return Math.sqrt(a * a + b * b)
-}
-
-// Given a coordinate (a, b), this will calculate the sin, cosine and angle
-// of this point projected onto the unit circle directly
-function unitCircle (a, b) {
-  var thetaRad = Math.atan2(b, a)
-  var thetaDeg = thetaRad * 180 / Math.PI
-  var cos = Math.cos(thetaRad)
-  var sin = Math.sin(thetaRad)
-  return {theta: thetaDeg, cos: cos, sin: sin}
-}
-
 function closeEnough (a, b, threshold) {
-  return Math.abs (b - a) < (threshold || 1e-6)
+  return Math.abs(b - a) < (threshold || 1e-6)
 }
index 557010cc48cb8902e0deed1e9474e7feaaf98c06..ed1485cc226dc2faeb04162c5add9959b03d910b 100644 (file)
@@ -1,4 +1,4 @@
-/* global abcdef, arrayToMatrix, parseMatrix, unitCircle, mag */
+/* global abcdef, arrayToMatrix, parseMatrix, closeEnough */
 
 SVG.Matrix = SVG.invent({
   // Initialize
@@ -25,12 +25,13 @@ SVG.Matrix = SVG.invent({
   // Add methods
   extend: {
 
+    // Clones this matrix
     clone: function () {
       return new SVG.Matrix(this)
     },
 
-    // Clone matrix
-    affine: function (o) {
+    // Transform a matrix into another matrix by manipulating the space
+    transform: function (o) {
       // Get all of the parameters required to form the matrix
       var flipX = o.flip && (o.flip === 'x' || o.flip === 'both') ? -1 : 1
       var flipY = o.flip && (o.flip === 'y' || o.flip === 'both') ? -1 : 1
@@ -58,6 +59,9 @@ SVG.Matrix = SVG.invent({
       var py = o.position && o.position.length ? o.position[1] : o.py
       var tx = o.translate && o.translate.length ? o.translate[0] : o.tx || 0
       var ty = o.translate && o.translate.length ? o.translate[1] : o.ty || 0
+      var rx = o.relative && o.relative.length ? o.relative[0] : o.rx || 0
+      var ry = o.relative && o.relative.length ? o.relative[1] : o.ry || 0
+      var currentTransform = new SVG.Matrix(this)
 
       // Construct the resulting matrix
       var transformer = new SVG.Matrix()
@@ -67,35 +71,103 @@ SVG.Matrix = SVG.invent({
         .shear(shear)
         .rotate(theta)
         .translate(ox, oy)
-        .translate(tx, ty)
-        .lmultiply(new SVG.Matrix(this))
+        .translate(rx, ry)
+        .lmultiply(currentTransform)
 
       // If we want the origin at a particular place, we force it there
       if (isFinite(px) && isFinite(py)) {
         // Figure out where the origin went and the delta to get there
-        var p = new SVG.Point(ox - tx, oy - ty).transform(transformer)
+        var p = new SVG.Point(ox - rx, oy - ry).transform(transformer)
         var dx = px - p.x
         var dy = py - p.y
 
         // Apply another translation
         transformer = transformer.translate(dx, dy)
       }
+
+      // We can apply translations after everything else
+      transformer = transformer.translate(tx, ty)
       return transformer
     },
 
+    // Applies a matrix defined by its affine parameters
+    compose: function (o) {
+      // Get the parameters
+      var sx = o.scaleX
+      var sy = o.scaleY
+      var lam = o.shear
+      var theta = o.rotate
+      var tx = o.translateX
+      var ty = o.translateY
+
+      // Apply the standard matrix
+      var result = new SVG.Matrix()
+        .scale(sx, sy)
+        .shear(lam)
+        .rotate(theta)
+        .translate(tx, ty)
+        .lmultiply(this)
+      return result
+    },
+
+    // Decomposes this matrix into its affine parameters
+    decompose: function () {
+      // Get the parameters from the matrix
+      var a = this.a
+      var b = this.b
+      var c = this.c
+      var d = this.d
+      var e = this.e
+      var f = this.f
+
+      // Figure out if the winding direction is clockwise or counterclockwise
+      var determinant = a * d - b * c
+      var ccw = determinant > 0 ? -1 : 1
+
+      // Since we only shear in x, we can use the x basis to get the x scale
+      // and the rotation of the resulting matrix
+      var sx = ccw * Math.sqrt(a * a + b * b)
+      var theta = 180 / Math.PI * Math.atan2(ccw * b, ccw * a)
+
+      // We can then solve the y basis vector simultaneously to get the other
+      // two affine parameters directly from these parameters
+      var lam = (a * c + b * d) / determinant
+      var sy = ((c * sx) / (lam * a - b)) || ((d * sx) / (lam * b + a))
+
+      // Construct the decomposition and return it
+      return {
+        // Return the affine parameters
+        scaleX: sx,
+        scaleY: sy,
+        shear: lam,
+        rotate: theta,
+        translateX: e,
+        translateY: f,
+
+        // Return the matrix parameters
+        matrix: this,
+        a: this.a,
+        b: this.b,
+        c: this.c,
+        d: this.d,
+        e: this.e,
+        f: this.f,
+      }
+    },
+
     // Morph one matrix into another
     morph: function (matrix) {
-      // store new destination
+      // Store new destination
       this.destination = new SVG.Matrix(matrix)
       return this
     },
 
     // Get morphed matrix at a given position
     at: function (pos) {
-      // make sure a destination is defined
+      // Make sure a destination is defined
       if (!this.destination) return this
 
-      // calculate morphed matrix at a given position
+      // Calculate morphed matrix at a given position
       var matrix = new SVG.Matrix({
         a: this.a + (this.destination.a - this.a) * pos,
         b: this.b + (this.destination.b - this.b) * pos,
@@ -182,7 +254,7 @@ SVG.Matrix = SVG.invent({
 
     // Shear matrix
     shear: function (a, cx, cy) {
-      var shear = new SVG.Matrix(1, a, 0, 1, 0, 0)
+      var shear = new SVG.Matrix(1, 0, a, 1, 0, 0)
       var matrix = this.around(cx, cy, shear)
       return matrix
     },
@@ -241,12 +313,9 @@ SVG.Matrix = SVG.invent({
     // Check if two matrices are equal
     equals: function (other) {
       var comp = parseMatrix(other)
-      return closeEnough(this.a, comp.a)
-        && closeEnough(this.b, comp.b)
-        && closeEnough(this.c, comp.c)
-        && closeEnough(this.d, comp.d)
-        && closeEnough(this.e, comp.e)
-        && closeEnough(this.f, comp.f)
+      return closeEnough(this.a, comp.a) && closeEnough(this.b, comp.b) &&
+        closeEnough(this.c, comp.c) && closeEnough(this.d, comp.d) &&
+        closeEnough(this.e, comp.e) && closeEnough(this.f, comp.f)
     },
 
     // Convert matrix to string
index 6f818985b3657f6825d1b29cacb0006e4a31b4b8..b1c6f385e7423ca116421d90a81b762a1ffa2480 100644 (file)
@@ -46,6 +46,10 @@ SVG.extend([SVG.Element, SVG.FX], {
       : this.transform({skew: [x, y], origin: [cx, cy]}, true)
   },
 
+  shear: function (lam, cx, cy) {
+    return this.transform({shear: lam, origin: [cx, cy]}, true)
+  },
+
   // Map scale to transform
   scale: function (x, y, cx, cy) {
     return arguments.length === 1 || arguments.length === 3
@@ -58,13 +62,18 @@ SVG.extend([SVG.Element, SVG.FX], {
     return this.transform({ translate: [x, y] }, true)
   },
 
+  // Map relative translations to transform
+  relative: function (x, y) {
+    return this.transform({ relative: [x, y] }, true)
+  },
+
   // Map flip to transform
   flip: function (direction, around) {
-    var origin = (direction === "both" && isFinite(around)) ? [around, around]
-      : (direction === "x") ? [around, 0]
-      : (direction === "y") ? [0, around]
+    var origin = (direction === 'both' && isFinite(around)) ? [around, around]
+      : (direction === 'x') ? [around, 0]
+      : (direction === 'y') ? [0, around]
       : [0, 0]
-    this.transform({flip: direction || "both", origin: origin}, true)
+    this.transform({flip: direction || 'both', origin: origin}, true)
   },
 
   // Opacity
index fbc75c415c68a3d735163f1303409c05f1f9d9d5..f14917d1cee6ce078ace56c3228ef0364e2b3739 100644 (file)
@@ -21,8 +21,9 @@ SVG.extend(SVG.Element, {
       .reverse()
       // merge every transformation into one matrix
       .reduce(function (matrix, transform) {
-        if (transform[0] === 'matrix')
+        if (transform[0] === 'matrix') {
           return matrix.lmultiply(arrayToMatrix(transform[1]))
+        }
         return matrix[transform[0]].apply(matrix, transform[1])
       }, new SVG.Matrix())
 
@@ -55,11 +56,10 @@ SVG.extend(SVG.Element, {
 
     // Act as a getter if no object was passed
     if (o == null) {
-      return new SVG.Matrix(this)
+      return new SVG.Matrix(this).decompose()
 
     // Let the user pass in a matrix as well
     } else if (o.a != null) {
-
       // Construct a matrix from the first parameter
       var matrix = new SVG.Matrix(o)
 
@@ -73,8 +73,9 @@ SVG.extend(SVG.Element, {
       return this.attr('transform', matrix)
 
     // Allow the user to define the origin with a string
-    } else if (typeof o.origin === 'string'
-      || (o.origin == null && o.ox == null && o.oy == null)) {
+    } else if (typeof o.origin === 'string' ||
+      (o.origin == null && o.ox == null && o.oy == null)
+    ) {
       // Get the bounding box and string to use in our calculations
       var string = typeof o.origin === 'string'
         ? o.origin.toLowerCase().trim()
@@ -97,12 +98,12 @@ SVG.extend(SVG.Element, {
     }
 
     // The user can pass a boolean, an SVG.Element or an SVG.Matrix or nothing
-    var result = new SVG.Matrix(cyOrRel === true ? this : cyOrRel).affine(o)
+    var result = new SVG.Matrix(cyOrRel === true ? this : cyOrRel).transform(o)
     var matrixString = result.toString()
 
     // Apply the result directly to this matrix
     return this.attr('transform', matrixString)
-  },
+  }
 })
 
 SVG.extend(SVG.FX, {