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

    // 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.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

      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) {
      matrix = matrix.flip(
        o.flip
      , o.offset == null ? target.bbox()['c' + 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

    // 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) {
      matrix = new SVG.Matrix().morph(new SVG.Matrix().flip(
        o.flip
      , o.offset == null ? target.bbox()['c' + 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
    
    var situation = this.situations.length ? this.situations[this.situations.length-1] : this.current
    
    situation.transforms.push(matrix)

    setTimeout(function(){this.start()}.bind(this), 0)
    
    return this
  }
})

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(/\)\s*/).slice(0,-1).map(function(str){
        // generate key => value pairs
        var kv = str.trim().split('(')
        return [kv[0], kv[1].split(SVG.regex.matrixElements).map(function(str){ return parseFloat(str) })]
      })
      // calculate 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 temp = parent.rect(1,1)
    var pCtm = temp.screenCTM().inverse()
    temp.remove()

    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.create([].slice.call(arguments))
    }

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

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

    this.inversed = false

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

  }

, extend: {

    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){
      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){
    if(typeof source == 'object') this.constructor.call(this, source, inversed)
    else this.constructor.call(this, [].slice.call(arguments))
  }

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

})

SVG.Rotate = SVG.invent({

  parent: SVG.Matrix
, inherit: SVG.Transformation

, create: function(source, inversed){
    if(typeof source == 'object') this.constructor.call(this, source, inversed)
    else this.constructor.call(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
    }
  }

})

SVG.Scale = SVG.invent({

  parent: SVG.Matrix
, inherit: SVG.Transformation

, create: function(source, inversed){
    if(typeof source == 'object') this.constructor.call(this, source, inversed)
    else this.constructor.call(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){
    if(typeof source == 'object') this.constructor.call(this, source, inversed)
    else this.constructor.call(this, [].slice.call(arguments))
  }

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

})