aboutsummaryrefslogtreecommitdiffstats
path: root/src/matrix.js
blob: cbd053f2288fd112969f669f039d3a89f65ef58b (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
SVG.Matrix = SVG.invent({
  // Initialize
  create: function(source) {
    var i, base = arrayToMatrix([1, 0, 0, 1, 0, 0])

    // ensure source as object
    source = source && source.node && source.node.getCTM ?
      source.node.getCTM() :
    typeof source === 'string' ?
      stringToMatrix(source) :
    arguments.length == 6 ?
      arrayToMatrix([].slice.call(arguments)) :
    typeof source === 'object' ?
      source : base

    // merge source
    for (i = abcdef.length - 1; i >= 0; i--)
      this[abcdef[i]] = source && typeof source[abcdef[i]] === 'number' ?
        source[abcdef[i]] : base[abcdef[i]]
  }
  
  // Add methods
, extend: {
    // Extract individual transformations
    extract: function() {
      // find delta transform points
      var px    = deltaTransformPoint(this, 0, 1)
        , py    = deltaTransformPoint(this, 1, 0)
        , skewX = 180 / Math.PI * Math.atan2(px.y, px.x) - 90
  
      return {
        // translation
        x:        this.e
      , y:        this.f
        // skew
      , skewX:    -skewX
      , skewY:    180 / Math.PI * Math.atan2(py.y, py.x)
        // scale
      , scaleX:   Math.sqrt(this.a * this.a + this.b * this.b)
      , scaleY:   Math.sqrt(this.c * this.c + this.d * this.d)
        // rotation
      , rotation: skewX
      }
    }
    // Clone matrix
  , clone: function() {
      return new SVG.Matrix(this)
    }
    // Morph one matrix into another
  , morph: function(matrix) {
      // 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
      if (!this.destination) return this

      // 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
      , c: this.c + (this.destination.c - this.c) * pos
      , d: this.d + (this.destination.d - this.d) * pos
      , e: this.e + (this.destination.e - this.e) * pos
      , f: this.f + (this.destination.f - this.f) * pos
      })

      // process parametric rotation if present
      if (this.param && this.param.to) {
        // calculate current parametric position
        var param = {
          rotation: this.param.from.rotation + (this.param.to.rotation - this.param.from.rotation) * pos
        , cx:       this.param.from.cx
        , cy:       this.param.from.cy
        }

        // rotate matrix
        matrix = matrix.rotate(
          (this.param.to.rotation - this.param.from.rotation * 2) * pos
        , param.cx
        , param.cy
        )

        // store current parametric values
        matrix.param = param
      }

      return matrix
    }
    // Multiplies by given matrix
  , multiply: function(matrix) {
      return new SVG.Matrix(this.native().multiply(parseMatrix(matrix).native()))
    }
    // Inverses matrix
  , inverse: function() {
      return new SVG.Matrix(this.native().inverse())
    }
    // Translate matrix
  , translate: function(x, y) {
      return new SVG.Matrix(this.native().translate(x || 0, y || 0))  
    }
    // Scale matrix
  , scale: function(x, y, cx, cy) {
      // support universal scale
      if (arguments.length == 1 || arguments.length == 3)
        y = x
      if (arguments.length == 3) {
        cy = cx
        cx = y
      }

      return this.around(cx, cy, new SVG.Matrix(x, 0, 0, y, 0, 0))
    }
    // Rotate matrix
  , rotate: function(r, cx, cy) {
      // convert degrees to radians
      r = SVG.utils.radians(r)
      
      return this.around(cx, cy, new SVG.Matrix(Math.cos(r), Math.sin(r), -Math.sin(r), Math.cos(r), 0, 0))
    }
    // Flip matrix on x or y, at a given offset
  , flip: function(a, o) {
      return a == 'x' ? this.scale(-1, 1, o, 0) : this.scale(1, -1, 0, o)
    }
    // Skew
  , skew: function(x, y, cx, cy) {
      return this.around(cx, cy, this.native().skewX(x || 0).skewY(y || 0))
    }
    // Transform around a center point
  , around: function(cx, cy, matrix) {
      return this
        .multiply(new SVG.Matrix(1, 0, 0, 1, cx || 0, cy || 0))
        .multiply(matrix)
        .multiply(new SVG.Matrix(1, 0, 0, 1, -cx || 0, -cy || 0))
    }
    // Convert to native SVGMatrix
  , native: function() {
      // create new matrix
      var matrix = SVG.parser.draw.node.createSVGMatrix()
  
      // update with current values
      for (var i = abcdef.length - 1; i >= 0; i--)
        matrix[abcdef[i]] = this[abcdef[i]]

      return matrix
    }
    // Convert matrix to string
  , toString: function() {
      return 'matrix(' + this.a + ',' + this.b + ',' + this.c + ',' + this.d + ',' + this.e + ',' + this.f + ')'
    }
  }

  // Define parent
, parent: SVG.Element

  // Add parent method
, construct: {
    // Get current matrix
    ctm: function() {
      return new SVG.Matrix(this)
    }
  
  }

})