SVG.extend(SVG.Element, {
  // Add transformations
  transform: function(o, relative) {
    // get target in case of the fx module, otherwise reference this
    var target = this
      , matrix, bbox

    // act as a getter
    if (typeof o !== 'object') {
      // get current matrix
      matrix = new SVG.Matrix(target).extract()

      return typeof o === 'string' ? matrix[o] : matrix
    }

    // get current matrix
    matrix = new SVG.Matrix(target)

    // ensure relative flag
    relative = !!relative || !!o.relative

    // act on matrix
    if (o.a != null) {
      matrix = relative ?
        // relative
        matrix.multiply(new SVG.Matrix(o)) :
        // absolute
        new SVG.Matrix(o)

    // act on rotation
    } else if (o.rotation != null) {
      // ensure centre point
      ensureCentre(o, target)

      // apply transformation
      matrix = relative ?
        // relative
        matrix.rotate(o.rotation, o.cx, o.cy) :
        // absolute
        matrix.rotate(o.rotation - matrix.extract().rotation, o.cx, o.cy)

    // act on scale
    } else if (o.scale != null || o.scaleX != null || o.scaleY != null) {
      // ensure centre point
      ensureCentre(o, target)

      // ensure scale values on both axes
      o.scaleX = o.scale != null ? o.scale : o.scaleX != null ? o.scaleX : 1
      o.scaleY = o.scale != null ? o.scale : o.scaleY != null ? o.scaleY : 1

      if (!relative) {
        // absolute; multiply inversed values
        var e = matrix.extract()
        o.scaleX = o.scaleX * 1 / e.scaleX
        o.scaleY = o.scaleY * 1 / e.scaleY
      }

      matrix = matrix.scale(o.scaleX, o.scaleY, o.cx, o.cy)

    // act on skew
    } else if (o.skew != null || o.skewX != null || o.skewY != null) {
      // ensure centre point
      ensureCentre(o, target)

      // ensure skew values on both axes
      o.skewX = o.skew != null ? o.skew : o.skewX != null ? o.skewX : 0
      o.skewY = o.skew != null ? o.skew : o.skewY != null ? o.skewY : 0

      if (!relative) {
        // absolute; reset skew values
        var e = matrix.extract()
        matrix = matrix.multiply(new SVG.Matrix().skew(e.skewX, e.skewY, o.cx, o.cy).inverse())
      }

      matrix = matrix.skew(o.skewX, o.skewY, o.cx, o.cy)

    // act on flip
    } else if (o.flip) {
      if(o.flip == 'x' || o.flip == 'y') {
        o.offset = o.offset == null ? target.bbox()['c' + o.flip] : o.offset
      } else {
        if(o.offset == null) {
          bbox = target.bbox()
          o.flip = bbox.cx
          o.offset = bbox.cy
        } else {
          o.flip = o.offset
        }
      }

      matrix = new SVG.Matrix().flip(o.flip, o.offset)

    // act on translate
    } else if (o.x != null || o.y != null) {
      if (relative) {
        // relative
        matrix = matrix.translate(o.x, o.y)
      } else {
        // absolute
        if (o.x != null) matrix.e = o.x
        if (o.y != null) matrix.f = o.y
      }
    }

    return this.attr('transform', matrix)
  }
})

SVG.extend(SVG.FX, {
  transform: function(o, relative) {
    // get target in case of the fx module, otherwise reference this
    var target = this.target()
      , matrix, bbox

    // act as a getter
    if (typeof o !== 'object') {
      // get current matrix
      matrix = new SVG.Matrix(target).extract()

      return typeof o === 'string' ? matrix[o] : matrix
    }

    // ensure relative flag
    relative = !!relative || !!o.relative

    // act on matrix
    if (o.a != null) {
      matrix = new SVG.Matrix(o)

    // act on rotation
    } else if (o.rotation != null) {
      // ensure centre point
      ensureCentre(o, target)

      // apply transformation
      matrix = new SVG.Rotate(o.rotation, o.cx, o.cy)

    // act on scale
    } else if (o.scale != null || o.scaleX != null || o.scaleY != null) {
      // ensure centre point
      ensureCentre(o, target)

      // ensure scale values on both axes
      o.scaleX = o.scale != null ? o.scale : o.scaleX != null ? o.scaleX : 1
      o.scaleY = o.scale != null ? o.scale : o.scaleY != null ? o.scaleY : 1

      matrix = new SVG.Scale(o.scaleX, o.scaleY, o.cx, o.cy)

    // act on skew
    } else if (o.skewX != null || o.skewY != null) {
      // ensure centre point
      ensureCentre(o, target)

      // ensure skew values on both axes
      o.skewX = o.skewX != null ? o.skewX : 0
      o.skewY = o.skewY != null ? o.skewY : 0

      matrix = new SVG.Skew(o.skewX, o.skewY, o.cx, o.cy)

    // act on flip
    } else if (o.flip) {
      if(o.flip == 'x' || o.flip == 'y') {
        o.offset = o.offset == null ? target.bbox()['c' + o.flip] : o.offset
      } else {
        if(o.offset == null) {
          bbox = target.bbox()
          o.flip = bbox.cx
          o.offset = bbox.cy
        } else {
          o.flip = o.offset
        }
      }

      matrix = new SVG.Matrix().flip(o.flip, o.offset)

    // act on translate
    } else if (o.x != null || o.y != null) {
      matrix = new SVG.Translate(o.x, o.y)
    }

    if(!matrix) return this

    matrix.relative = relative

    this.last().transforms.push(matrix)

    return this._callStart()
  }
})

SVG.extend(SVG.Element, {
  // Reset all transformations
  untransform: function() {
    return this.attr('transform', null)
  },
  // merge the whole transformation chain into one matrix and returns it
  matrixify: function() {

    var matrix = (this.attr('transform') || '')
      // split transformations
      .split(SVG.regex.transforms).slice(0,-1).map(function(str){
        // generate key => value pairs
        var kv = str.trim().split('(')
        return [kv[0], kv[1].split(SVG.regex.delimiter).map(function(str){ return parseFloat(str) })]
      })
      // merge every transformation into one matrix
      .reduce(function(matrix, transform){

        if(transform[0] == 'matrix') return matrix.multiply(arrayToMatrix(transform[1]))
        return matrix[transform[0]].apply(matrix, transform[1])

      }, new SVG.Matrix())

    return matrix
  },
  // add an element to another parent without changing the visual representation on the screen
  toParent: function(parent) {
    if(this == parent) return this
    var ctm = this.screenCTM()
    var pCtm = parent.screenCTM().inverse()

    this.addTo(parent).untransform().transform(pCtm.multiply(ctm))

    return this
  },
  // same as above with parent equals root-svg
  toDoc: function() {
    return this.toParent(this.doc())
  }

})

SVG.Transformation = SVG.invent({

  create: function(source, inversed){

    if(arguments.length > 1 && typeof inversed != 'boolean'){
      return this.constructor.call(this, [].slice.call(arguments))
    }

    if(Array.isArray(source)){
      for(var i = 0, len = this.arguments.length; i < len; ++i){
        this[this.arguments[i]] = source[i]
      }
    } else if(typeof source == 'object'){
      for(var i = 0, len = this.arguments.length; i < len; ++i){
        this[this.arguments[i]] = source[this.arguments[i]]
      }
    }

    this.inversed = false

    if(inversed === true){
      this.inversed = true
    }

  }

, extend: {

    arguments: []
  , method: ''

  , at: function(pos){

      var params = []

      for(var i = 0, len = this.arguments.length; i < len; ++i){
        params.push(this[this.arguments[i]])
      }

      var m = this._undo || new SVG.Matrix()

      m = new SVG.Matrix().morph(SVG.Matrix.prototype[this.method].apply(m, params)).at(pos)

      return this.inversed ? m.inverse() : m

    }

  , undo: function(o){
      for(var i = 0, len = this.arguments.length; i < len; ++i){
        o[this.arguments[i]] = typeof this[this.arguments[i]] == 'undefined' ? 0 : o[this.arguments[i]]
      }

      // The method SVG.Matrix.extract which was used before calling this
      // method to obtain a value for the parameter o doesn't return a cx and
      // a cy so we use the ones that were provided to this object at its creation
      o.cx = this.cx
      o.cy = this.cy

      this._undo = new SVG[capitalize(this.method)](o, true).at(1)

      return this
    }

  }

})

SVG.Translate = SVG.invent({

  parent: SVG.Matrix
, inherit: SVG.Transformation

, create: function(source, inversed){
    this.constructor.apply(this, [].slice.call(arguments))
  }

, extend: {
    arguments: ['transformedX', 'transformedY']
  , method: 'translate'
  }

})

SVG.Rotate = SVG.invent({

  parent: SVG.Matrix
, inherit: SVG.Transformation

, create: function(source, inversed){
    this.constructor.apply(this, [].slice.call(arguments))
  }

, extend: {
    arguments: ['rotation', 'cx', 'cy']
  , method: 'rotate'
  , at: function(pos){
      var m = new SVG.Matrix().rotate(new SVG.Number().morph(this.rotation - (this._undo ? this._undo.rotation : 0)).at(pos), this.cx, this.cy)
      return this.inversed ? m.inverse() : m
    }
  , undo: function(o){
      this._undo = o
      return this
    }
  }

})

SVG.Scale = SVG.invent({

  parent: SVG.Matrix
, inherit: SVG.Transformation

, create: function(source, inversed){
    this.constructor.apply(this, [].slice.call(arguments))
  }

, extend: {
    arguments: ['scaleX', 'scaleY', 'cx', 'cy']
  , method: 'scale'
  }

})

SVG.Skew = SVG.invent({

  parent: SVG.Matrix
, inherit: SVG.Transformation

, create: function(source, inversed){
    this.constructor.apply(this, [].slice.call(arguments))
  }

, extend: {
    arguments: ['skewX', 'skewY', 'cx', 'cy']
  , method: 'skew'
  }

})