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SVG.Matrix = SVG.invent({
// Initialize
create: function(source) {
var i, base = arrayToMatrix([1, 0, 0, 1, 0, 0])
// ensure source as object
source = source instanceof SVG.Element ?
source.matrixify() :
typeof source === 'string' ?
arrayToMatrix(source.split(SVG.regex.delimiter).map(parseFloat)) :
arguments.length == 6 ?
arrayToMatrix([].slice.call(arguments)) :
Array.isArray(source) ?
arrayToMatrix(source) :
typeof source === 'object' ?
source : base
// merge source
for (i = abcdef.length - 1; i >= 0; --i)
this[abcdef[i]] = source[abcdef[i]] != null ?
source[abcdef[i]] : base[abcdef[i]]
}
// Add methods
, extend: {
// Convert an object of affine parameters into a matrix
compose: function (o, cx, cy) {
// Set the defaults
var tx = o.translateX || 0
, ty = o.translateY || 0
, theta = o.theta || 0
, sx = o.scaleX || 1
, sy = o.scaleY || 1
, lam = o.shear || 0
, cx = cx || 0
, cy = cy || 0
// Calculate the trigonometric values
var ct = Math.cos(theta * Math.PI / 180)
, st Math.sin(theta * Math.PI / 180)
// Calculate the matrix components directly
var a = sx * ct
, b = sx * st
, c = lam * sx * ct - sy * st
, d = lam * sx * st + sy * ct
, e = - sx * ct * (cx + cy * lam) + sy * st * cy + tx + cx
, f = - sx * st * (cx + cy * lam) - sy * ct * cy + ty + cy
// Construct a new matrix and return it
var matrix = new SVG.Matrix([a, b, c, d, e, f])
return matrix
}
// Decompose a matrix into the affine parameters needed to form it
, decompose: function (matrix, cx, cy) {
// Get the paramaters of the current matrix
var a = matrix.a
, b = matrix.b
, c = matrix.c
, d = matrix.d
, e = matrix.e
, f = matrix.f
// Project the first basis vector onto the unit circle
var circle = unitCircle (a, b)
, theta = circle.theta
, ct = circle.cos
, st = circle.sin
// Work out the transformation parameters
var signX = Math.sign(a * ct + b * st)
, sx = signX * mag (a, b)
, lam = (st * d + ct * c) / (ct * a + st * b)
, signY = Math.sign(- c * st + d * ct)
, sy = mag (lam * a - c, d - lam * b)
, tx = e - cx + cx * ct * sx + cy * (lam * ct * sx - st * sy)
, ty = f - cy + cx * st * sx + cy * (lam * st * sx + ct * sy)
// Package and return the parameters
return {
// Bundle the affine parameters
translateX: tx
, translateY: ty
, theta: theta
, scaleX: sx
, scaleY: sy
, shear: lam
// Bundle the matrix parameters
, a: this.a
, b: this.b
, c: this.c
, d: this.d
, e: this.e
, f: this.f
// Return the new origin point
, x: this.e
, y: this.f
// Store the matrix
, matrix: new SVG.Matrix(this)
}
}
// Clone matrix
, form: function (o) {
// Get all of the parameters required to form the matrix
var flipX = o.flip && (o.flip == "x" || o.flip == "both") ? -1 : 1
, flipY = o.flip && (o.flip == "y" || o.flip == "both") ? -1 : 1
, kX = o.skew.length ? o.skew[0]
: isFinite(o.skew) ? o.skew
: isFinite(o.skewX) ? o.skewX
: 0
, kY = o.skew.length ? o.skew[1]
: isFinite(o.skew) ? o.skew
: isFinite(o.skewY) ? o.skewY
: 0
, skewX = o.scale.length ? o.scale[0] * flipX
: isFinite(o.scale) ? o.scale * flipX
: isFinite(o.scaleX) ? o.scaleX * flipX
: flipX
, skewY = o.scale.length ? o.scale[1] * flipY
: isFinite(o.scale) ? o.scale * flipY
: isFinite(o.scaleY) ? o.scaleY * flipY
: flipY
, kx = Math.tan(SVG.utils.radians(skewX))
, ky = Math.tan(SVG.utils.radians(skewY))
, lam = o.shear || 0
, theta = SVG.utils.radians(o.rotate || 0)
, st = Math.sin(theta)
, ct = Math.cos(theta)
, ox = o.origin.length ? o.origin[0] : o.ox || 0
, oy = o.origin.length ? o.origin[1] : o.oy || 0
, px = o.position.length ? o.position[0] : o.px || ox
, py = o.position.length ? o.position[1] : o.py || oy
, tx = o.translate.length ? o.translate[0] : o.tx || 0
, ty = o.translate.length ? o.translate[1] : o.ty || 0
// Form the matrix parameters... aka. welcome to wonderland! (used wolfram)
var a = ct*sx + ky*st*sy
, b = -st*sx+ct*ky*sy
, c = ct*kx*sx+st*sy + lam*(ct*sx+ky*st*sy)
, d = -kx*st*sx + ct*sy + lam*(-st*sx + ct*ky*sy)
, e = px + tx + cx*(ct*sx+ky*st*sy) + cy*(ct*kx*sx+st*sy+lam*(ct*sx+ky*st*sy))
, f = py + ty + cx*(-st*sx + ct*ky*sy) + cy*(-kx*st*sx + ct*sy + lam*(-st*sx + ct*ky*sy))
, result = new Matrix(a, b, c, d, e, f)
return result
}
, 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
})
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 uniformal scale
if (arguments.length == 1) {
y = x
} else if (arguments.length == 3) {
cy = cx
cx = y
y = x
}
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) :
a == 'y' ?
this.scale(1, -1, 0, o) :
this.scale(-1, -1, a, o != null ? o : a)
}
// Skew
, shear: function(a, cx, cy) {
return this.around(cx, cy, new SVG.Matrix(1, a, 0, 1, 0, 0))
}
, skew: function(x, y, cx, cy) {
// support uniformal skew
if (arguments.length == 1) {
y = x
} else if (arguments.length == 3) {
cy = cx
cx = y
y = x
}
// convert degrees to radians
x = SVG.utils.radians(x)
y = SVG.utils.radians(y)
return this.around(cx, cy, new SVG.Matrix(1, Math.tan(y), Math.tan(x), 1, 0, 0))
}
// SkewX
, skewX: function(x, cx, cy) {
return this.skew(x, 0, cx, cy)
}
// SkewY
, skewY: function(y, cx, cy) {
return this.skew(0, y, cx, cy)
}
// 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.nodes.svg.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.node.getCTM())
},
// Get current screen matrix
screenCTM: function() {
/* https://bugzilla.mozilla.org/show_bug.cgi?id=1344537
This is needed because FF does not return the transformation matrix
for the inner coordinate system when getScreenCTM() is called on nested svgs.
However all other Browsers do that */
if(this instanceof SVG.Nested) {
var rect = this.rect(1,1)
var m = rect.node.getScreenCTM()
rect.remove()
return new SVG.Matrix(m)
}
return new SVG.Matrix(this.node.getScreenCTM())
}
}
})
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