* @copyright Wout Fierens <wout@mick-wout.com>
* @license MIT
*
-* BUILT: Tue Feb 27 2018 17:22:06 GMT+1100 (AEDT)
+* BUILT: Fri Mar 02 2018 11:37:53 GMT+1100 (AEDT)
*/;
(function(root, factory) {
/* global abcdef, arrayToMatrix, parseMatrix, unitCircle, mag */
+// Produce a matrix from affine parameters
+SVG.compose = function (o, cx, cy) {
+ // Set the defaults
+ var tx = o.translateX || 0
+ var ty = o.translateY || 0
+ var theta = o.theta || 0
+ var sx = o.scaleX || 1
+ var sy = o.scaleY || 1
+ var lam = o.shear || 0
+ cx = cx || 0
+ cy = cy || 0
+
+ // Calculate the trigonometric values
+ var ct = Math.cos(theta * Math.PI / 180)
+ var st = Math.sin(theta * Math.PI / 180)
+
+ // Calculate the matrix components directly
+ var a = sx * ct
+ var b = sx * st
+ var c = lam * sx * ct - sy * st
+ var d = lam * sx * st + sy * ct
+ var e = -sx * ct * (cx + cy * lam) + sy * st * cy + tx + cx
+ var 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
+}
+
SVG.Matrix = SVG.invent({
// Initialize
create: function (source) {
// 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
- var ty = o.translateY || 0
- var theta = o.theta || 0
- var sx = o.scaleX || 1
- var sy = o.scaleY || 1
- var lam = o.shear || 0
+ // Decompose a matrix into the affine parameters needed to form it
+ decompose: function (cx, cy) {
+ // Choose a default center point
cx = cx || 0
cy = cy || 0
- // Calculate the trigonometric values
- var ct = Math.cos(theta * Math.PI / 180)
- var st = Math.sin(theta * Math.PI / 180)
-
- // Calculate the matrix components directly
- var a = sx * ct
- var b = sx * st
- var c = lam * sx * ct - sy * st
- var d = lam * sx * st + sy * ct
- var e = -sx * ct * (cx + cy * lam) + sy * st * cy + tx + cx
- var 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
- var b = matrix.b
- var c = matrix.c
- var d = matrix.d
- var e = matrix.e
- var f = matrix.f
+ var a = this.a
+ var b = this.b
+ var c = this.c
+ var d = this.d
+ var e = this.e
+ var f = this.f
// Project the first basis vector onto the unit circle
var circle = unitCircle(a, b)
// Bundle the affine parameters
translateX: tx,
translateY: ty,
- theta: theta,
+ rotate: theta,
scaleX: sx,
scaleY: sy,
shear: lam,
matrix: new SVG.Matrix(this)
}
},
+
// Clone matrix
- form: function (o) {
+ affine: 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
- var skewX = o.skew.length ? o.skew[0]
+ var skewX = o.skew && o.skew.length ? o.skew[0]
: isFinite(o.skew) ? o.skew
: isFinite(o.skewX) ? o.skewX
: 0
- var skewY = o.skew.length ? o.skew[1]
+ var skewY = o.skew && o.skew.length ? o.skew[1]
: isFinite(o.skew) ? o.skew
: isFinite(o.skewY) ? o.skewY
: 0
- var sx = o.scale.length ? o.scale[0] * flipX
+ var scaleX = o.scale && o.scale.length ? o.scale[0] * flipX
: isFinite(o.scale) ? o.scale * flipX
: isFinite(o.scaleX) ? o.scaleX * flipX
: flipX
- var sy = o.scale.length ? o.scale[1] * flipY
+ var scaleY = o.scale && o.scale.length ? o.scale[1] * flipY
: isFinite(o.scale) ? o.scale * flipY
: isFinite(o.scaleY) ? o.scaleY * flipY
: flipY
- var kx = Math.tan(SVG.utils.radians(skewX))
- var ky = Math.tan(SVG.utils.radians(skewY))
- var lam = o.shear || 0
- var theta = SVG.utils.radians(o.rotate || 0)
- var st = Math.sin(theta)
- var ct = Math.cos(theta)
- var ox = o.origin.length ? o.origin[0] : o.ox || 0
- var oy = o.origin.length ? o.origin[1] : o.oy || 0
- var px = o.position.length ? o.position[0] : o.px || ox
- var py = o.position.length ? o.position[1] : o.py || oy
- var tx = o.translate.length ? o.translate[0] : o.tx || 0
- var 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
- var b = ct * ky * sy - st * sx
- var c = ct * kx * sx + st * sy + lam * (ct * sx + ky * st * sy)
- var d = -kx * st * sx + ct * sy + lam * (-st * sx + ct * ky * sy)
- var e = px + tx + ox * (ct * sx + ky * st * sy) + oy * (ct * kx * sx + st * sy + lam * (ct * sx + ky * st * sy))
- var f = py + ty + ox * (-st * sx + ct * ky * sy) + oy * (-kx * st * sx + ct * sy + lam * (-st * sx + ct * ky * sy))
- var result = new SVG.Matrix(a, b, c, d, e, f)
- return result
+ var shear = o.shear || 0
+ var theta = o.rotate || 0
+ var ox = o.origin && o.origin.length ? o.origin[0] : o.ox || 0
+ var oy = o.origin && o.origin.length ? o.origin[1] : o.oy || 0
+ var px = o.position && o.position.length ? o.position[0] : o.px
+ 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
+
+ // Construct the resulting matrix
+ var transformer = new SVG.Matrix()
+ .translate(-ox, -oy)
+ .scale(scaleX, scaleY)
+ .skew(skewX, skewY)
+ .shear(shear)
+ .rotate(theta)
+ .translate(ox, oy)
+ .translate(tx, ty)
+ .lmultiply(new SVG.Matrix(this))
+
+ // 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 dx = px - p.x
+ var dy = py - p.y
+
+ // Apply another translation
+ transformer = transformer.translate(dx, dy)
+ }
+ return transformer
},
+
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
return matrix
},
- // Multiplies by given matrix
+
+ // Left multiplies by the given matrix
multiply: function (matrix) {
- return new SVG.Matrix(this.native().multiply(parseMatrix(matrix).native()))
+ // Get the matrices
+ var l = this
+ var r = parseMatrix(matrix)
+
+ // Work out the product directly
+ var a = l.a * r.a + l.c * r.b
+ var b = l.b * r.a + l.d * r.b
+ var c = l.a * r.c + l.c * r.d
+ var d = l.b * r.c + l.d * r.d
+ var e = l.e + l.a * r.e + l.c * r.f
+ var f = l.f + l.b * r.e + l.d * r.f
+
+ // Form the matrix and return it
+ var product = new SVG.Matrix(a, b, c, d, e, f)
+ return product
},
+
+ lmultiply: function (matrix) {
+ var l = parseMatrix(matrix)
+ return l.multiply(this)
+ },
+
// Inverses matrix
inverse: function () {
return new SVG.Matrix(this.native().inverse())
},
+
// Translate matrix
translate: function (x, y) {
- var translation = new SVG.Matrix(this.native().translate(x || 0, y || 0))
- var matrix = this.multiply(translation)
- return matrix
+ var translation = new SVG.Matrix(this)
+ translation.e += x || 0
+ translation.f += y || 0
+ return translation
},
+
// Scale matrix
scale: function (x, y, cx, cy) {
// Support uniform scaling
// Rotate the current matrix
var scale = new SVG.Matrix(x, 0, 0, y, 0, 0)
- var centered = this.around(cx, cy, scale)
- var matrix = this.multiply(centered)
+ var matrix = this.around(cx, cy, scale)
return matrix
},
+
// Rotate matrix
rotate: function (r, cx, cy) {
// Convert degrees to radians
// Construct the rotation matrix
var rotation = new SVG.Matrix(Math.cos(r), Math.sin(r), -Math.sin(r), Math.cos(r), 0, 0)
- var centered = this.around(cx, cy, rotation)
- var matrix = this.multiply(centered)
+ var matrix = this.around(cx, cy, rotation)
return matrix
},
+
// 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)
+ flip: function (axis, around) {
+ return axis === 'x' ? this.scale(-1, 1, around, 0)
+ : axis === 'y' ? this.scale(1, -1, 0, around)
+ : this.scale(-1, -1, axis, around || axis) // Define an x, y flip point
},
- // Skew
+
+ // Shear matrix
shear: function (a, cx, cy) {
var shear = new SVG.Matrix(1, a, 0, 1, 0, 0)
- var centered = this.around(cx, cy, shear)
- var matrix = this.multiply(centered)
+ var matrix = this.around(cx, cy, shear)
return matrix
},
+
+ // Skew Matrix
skew: function (x, y, cx, cy) {
// support uniformal skew
if (arguments.length === 1) {
// Construct the matrix
var skew = new SVG.Matrix(1, Math.tan(y), Math.tan(x), 1, 0, 0)
- var centered = this.around(cx, cy, skew)
- var matrix = this.multiply(centered)
+ var matrix = this.around(cx, cy, skew)
return matrix
},
+
// 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))
+ var dx = cx || 0
+ var dy = cy || 0
+ return this.translate(-dx, -dy).lmultiply(matrix).translate(dx, dy)
},
+
// Convert to native SVGMatrix
native: function () {
// create new matrix
return matrix
},
+
+ // 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)
+ },
+
// Convert matrix to string
toString: function () {
return 'matrix(' + this.a + ',' + this.b + ',' + this.c + ',' + this.d + ',' + this.e + ',' + this.f + ')'
clone: function () {
return new SVG.Point(this)
},
+
// Morph one point into another
morph: function (x, y) {
// store new destination
this.destination = new SVG.Point(x, y)
-
return this
},
+
// Get morphed point at a given position
at: function (pos) {
// make sure a destination is defined
x: this.x + (this.destination.x - this.x) * pos,
y: this.y + (this.destination.y - this.y) * pos
})
-
return point
},
+
// Convert to native SVGPoint
native: function () {
// create new point
// update with current values
point.x = this.x
point.y = this.y
-
return point
},
+
// transform point with matrix
transform: function (matrix) {
return new SVG.Point(this.native().matrixTransform(matrix.native()))
point: function (x, y) {
return new SVG.Point(x, y).transform(this.screenCTM().inverse())
}
-
})
SVG.extend(SVG.Element, {
.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) })]
+ return [kv[0],
+ kv[1].split(SVG.regex.delimiter)
+ .map(function (str) { return parseFloat(str) })
+ ]
})
+ .reverse()
// merge every transformation into one matrix
.reduce(function (matrix, transform) {
- if (transform[0] === 'matrix') return matrix.multiply(arrayToMatrix(transform[1]))
+ if (transform[0] === 'matrix')
+ return matrix.lmultiply(arrayToMatrix(transform[1]))
return matrix[transform[0]].apply(matrix, transform[1])
}, new SVG.Matrix())
SVG.extend(SVG.Element, {
// Add transformations
- transform: function (o) {
+ transform: function (o, cyOrRel) {
+ // Get the bounding box of the element with no transformations applied
+ var bbox = this.bbox()
+
// Act as a getter if no object was passed
- if (typeof o !== 'object') {
- var matrix = new SVG.Matrix(this).decompose()
- return typeof o === 'string' ? matrix[o] : matrix
- }
+ if (o == null) {
+ return new SVG.Matrix(this)
+
+ // Let the user
+ } else if (o.a != null) {
+
+ // Construct a matrix from the first parameter
+ var matrix = new SVG.Matrix(o)
+
+ // If we have a relative matrix, we just apply the old matrix
+ if (cyOrRel != null) {
+ var oldMatrix = new SVG.Matrix(this)
+ matrix = matrix.multiply(oldMatrix)
+ }
+
+ // Apply the matrix directly
+ return this.attr('transform', matrix)
// Allow the user to define the origin with a string
- if (typeof o.origin === 'string') {
+ } 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 = o.origin.toLowerCase().trim()
- var bbox = this.bbox()
+ var string = typeof o.origin === 'string'
+ ? o.origin.toLowerCase().trim()
+ : 'center' // We want the center by default
+ var height = bbox.height
+ var width = bbox.width
var x = bbox.x
var y = bbox.y
- var width = bbox.width
- var height = bbox.height
// Set the bounds eg : "bottom-left", "Top right", "middle" etc...
o.ox = string.includes('left') ? x
o.origin = null
}
- // Get the resulting matrix and apply it to the element
- var result = new SVG.Matrix().form(o)
+ // 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 matrixString = result.toString()
- // Apply the result
+ // Apply the result directly to this matrix
return this.attr('transform', matrixString)
},
-
- // Map matrix to transform
- matrix: function (m, relative) {
- // Construct a matrix from the first parameter
- var matrix = new SVG.Matrix(m)
-
- // If we have a relative matrix, we just apply the old matrix
- if (relative) {
- var oldMatrix = new SVG.Matrix(this)
- matrix = oldMatrix.multiply(matrix)
- }
-
- // Apply the matrix directly
- return this.attr('transform', matrix)
- }
})
SVG.extend(SVG.FX, {
[ this.attr('x2'), this.attr('y2') ]
])
},
+
// Overwrite native plot() method
plot: function (x1, y1, x2, y2) {
if (x1 == null) {
return this.attr(x1)
},
+
// Move by left top corner
move: function (x, y) {
return this.attr(this.array().move(x, y).toLine())
},
+
// Set element size to given width and height
size: function (width, height) {
var p = proportionalSize(this, width, height)
SVG.extend([SVG.Element, SVG.FX], {
// Map rotation to transform
rotate: function (angle, cx, cy) {
- var matrix = new SVG.Matrix().rotate(angle, cx, cy)
- return this.matrix(matrix, true)
+ return this.transform({rotate: angle, ox: cx, oy: cy}, true)
},
+
// Map skew to transform
skew: function (x, y, cx, cy) {
- var matrix = arguments.length === 1 || arguments.length === 3
- ? new SVG.Matrix().skew(x, x, cx, cy)
- : new SVG.Matrix().skew(x, y, cx, cy)
- return this.matrix(matrix, true)
+ return arguments.length === 1 || arguments.length === 3
+ ? this.transform({skew: x, ox: y, oy: cx}, true)
+ : this.transform({skew: [x, y], ox: cx, oy: cy}, true)
},
+
// Map scale to transform
scale: function (x, y, cx, cy) {
return arguments.length === 1 || arguments.length === 3
- ? this.transform({ scale: x, cx: y, cy: cx })
- : this.transform({ scaleX: x, scaleY: y, cx: cx, cy: cy })
+ ? this.transform({ scale: x, origin: [y, cx] }, true)
+ : this.transform({ scaleX: x, scaleY: y, origin: [cx, cy] }, true)
},
+
// Map translate to transform
translate: function (x, y) {
- return this.transform({ x: x, y: y })
+ return this.transform({ translate: [x, y] }, true)
},
+
// Map flip to transform
- flip: function (a, o) {
- o = typeof a === 'number' ? a : o
- return this.transform({ flip: a || 'both', offset: o })
+ flip: function (direction, around) {
+ var origin = (direction === "both" && isFinite(around)) ? [around, around]
+ : (direction === "x") ? [around, 0]
+ : (direction === "y") ? [0, around]
+ : undefined
+ this.transform({flip: direction, origin: origin})
},
+
// Opacity
opacity: function (value) {
return this.attr('opacity', value)
},
+
// Relative move over x axis
dx: function (x) {
return this.x(new SVG.Number(x).plus(this instanceof SVG.FX ? 0 : this.x()), true)
},
+
// Relative move over y axis
dy: function (y) {
return this.y(new SVG.Number(y).plus(this instanceof SVG.FX ? 0 : this.y()), true)
},
+
// Relative move over x and y axes
dmove: function (x, y) {
return this.dx(x).dy(y)
// 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 len = Math.sqrt(a * a + b * b)
- var cos = a / len
- var sin = b / len
- var theta = Math.atan2(b, a) * 180 / Math.PI
- return {theta: theta, cos: cos, sin: sin}
+ 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)
}
/* globals fullBox, domContains, isNulledBox, Exception */
// add center, right, bottom...
fullBox(this)
},
+
extend: {
// Merge rect box with another, return a new instance
merge: function (box) {
yMax = Math.max(yMax, p.y)
})
- return new SVG.Box(
- xMin, yMin,
- xMax - xMin,
- yMax - yMin
- )
+ return new SVG.Box(xMin, yMin, xMax - xMin, yMax - yMin)
},
addOffset: function () {
this.y += window.pageYOffset
return this
},
+
toString: function () {
return this.x + ' ' + this.y + ' ' + this.width + ' ' + this.height
},
+
morph: function (x, y, width, height) {
this.destination = new SVG.Box(x, y, width, height)
return this
if (!this.destination) return this
return new SVG.Box(
- this.x + (this.destination.x - this.x) * pos
- , this.y + (this.destination.y - this.y) * pos
- , this.width + (this.destination.width - this.width) * pos
- , this.height + (this.destination.height - this.height) * pos
+ this.x + (this.destination.x - this.x) * pos,
+ this.y + (this.destination.y - this.y) * pos,
+ this.width + (this.destination.width - this.width) * pos,
+ this.height + (this.destination.height - this.height) * pos
)
}
},
- // Define Parent
+ // Define Parent
parent: SVG.Element,
// Constructor
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P.Matrix(this)}},form:function(t){var 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this.multiply(r)},flip:function(t,e){return"x"===t?this.scale(-1,1,e,0):"y"===t?this.scale(1,-1,0,e):this.scale(-1,-1,t,null!=e?e:t)},shear:function(t,e,n){var i=new P.Matrix(1,t,0,1,0,0),r=this.around(e,n,i);return this.multiply(r)},skew:function(t,e,n,i){1===arguments.length?e=t:3===arguments.length&&(i=n,n=e,e=t),t=P.utils.radians(t),e=P.utils.radians(e);var r=new P.Matrix(1,Math.tan(e),Math.tan(t),1,0,0),s=this.around(n,i,r);return this.multiply(s)},skewX:function(t,e,n){return this.skew(t,0,e,n)},skewY:function(t,e,n){return this.skew(0,t,e,n)},around:function(t,e,n){return this.multiply(new P.Matrix(1,0,0,1,t||0,e||0)).multiply(n).multiply(new P.Matrix(1,0,0,1,-t||0,-e||0))},native:function(){for(var t=P.parser.nodes.svg.node.createSVGMatrix(),e=k.length-1;e>=0;e--)t[k[e]]=this[k[e]];return t},toString:function(){return"matrix("+this.a+","+this.b+","+this.c+","+this.d+","+this.e+","+this.f+")"}},parent:P.Element,construct:{ctm:function(){return new P.Matrix(this.node.getCTM())},screenCTM:function(){if(this instanceof P.Nested){var t=this.rect(1,1),e=t.node.getScreenCTM();return t.remove(),new P.Matrix(e)}return new P.Matrix(this.node.getScreenCTM())}}}),P.Point=P.invent({create:function(t,e){var n,i={x:0,y:0};n=Array.isArray(t)?{x:t[0],y:t[1]}:"object"==typeof t?{x:t.x,y:t.y}:null!=t?{x:t,y:null!=e?e:t}:i,this.x=n.x,this.y=n.y},extend:{clone:function(){return new P.Point(this)},morph:function(t,e){return this.destination=new P.Point(t,e),this},at:function(t){return this.destination?new P.Point({x:this.x+(this.destination.x-this.x)*t,y:this.y+(this.destination.y-this.y)*t}):this},native:function(){var t=P.parser.nodes.svg.node.createSVGPoint()
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A.Box(t,e,n,i))}}),A.parser=function(){var t;return A.parser.nodes.svg.node.parentNode||(t=e.body||e.documentElement,A.parser.nodes.svg.addTo(t)),A.parser.nodes},A.parser.nodes={svg:(new A.Nested).size(2,0).css({opacity:0,position:"absolute",left:"-100%",top:"-100%",overflow:"hidden"})},A.parser.nodes.path=A.parser.nodes.svg.path().node,A});
\ No newline at end of file
expect(matrix.f).toBe(0)
})
- describe('extract()', function() {
- var extract
+ describe('decompose()', function() {
+ var decompose
beforeEach(function() {
- extract = matrix.extract()
+ decompose = matrix.decompose()
})
it('parses translation values', function() {
- expect(extract.x).toBe(0)
- expect(extract.y).toBe(0)
+ expect(decompose.translateX).toBe(0)
+ expect(decompose.translateY).toBe(0)
})
- it('parses skew values', function() {
- expect(extract.skewX).toBe(0)
- expect(extract.skewY).toBe(0)
+ it('parses shear values', function() {
+ expect(decompose.shear).toBe(0)
})
it('parses scale values', function() {
- expect(extract.scaleX).toBe(1)
- expect(extract.scaleY).toBe(1)
+ expect(decompose.scaleX).toBe(1)
+ expect(decompose.scaleY).toBe(1)
})
it('parses rotatoin value', function() {
- expect(extract.rotation).toBe(0)
+ expect(decompose.rotate).toBe(0)
})
})
var rect
beforeEach(function() {
+ // Draw is defined in helpers
rect = draw.rect(100, 100)
- .transform({ rotation: -10 }, true)
- .transform({ x: 40, y: 50 }, true)
- .transform({ scale: 2 }, true)
-
+ .transform({
+ rotate: -10,
+ translate: [40, 50],
+ scale: 2,
+ })
matrix = new SVG.Matrix(rect)
})
it('parses the current transform matrix from an element', function() {
- expect(matrix.a).toBeCloseTo(1.9696155786514282)
- expect(matrix.b).toBeCloseTo(-0.3472963869571686)
- expect(matrix.c).toBeCloseTo(0.3472963869571686)
- expect(matrix.d).toBeCloseTo(1.9696155786514282)
- expect(matrix.e).toBeCloseTo(-17.770875930786133)
- expect(matrix.f).toBeCloseTo(11.178505897521973)
- })
-
- describe('extract()', function() {
-
- it('parses translation values', function() {
- var extract = new SVG.Matrix(draw.rect(100, 100).translate(40, 50)).extract()
- expect(extract.x).toBeCloseTo(40)
- expect(extract.y).toBeCloseTo(50)
- })
- it('parses skewX value', function() {
- var extract = new SVG.Matrix(draw.rect(100, 100).skew(25, 0)).extract()
- expect(extract.skewX).toBeCloseTo(25)
- })
- it('parses skewY value', function() {
- var extract = new SVG.Matrix(draw.rect(100, 100).skew(0, 20)).extract()
- expect(extract.skewY).toBeCloseTo(20)
- })
- it('parses scale values', function() {
- var extract = new SVG.Matrix(draw.rect(100, 100).scale(2, 3)).extract()
- expect(extract.scaleX).toBeCloseTo(2)
- expect(extract.scaleY).toBeCloseTo(3)
- })
- it('parses rotatoin value', function() {
- var extract = new SVG.Matrix(draw.rect(100, 100).rotate(-100)).extract()
- expect(extract.rotation).toBeCloseTo(-100)
- })
+ expect(matrix.a).toBeCloseTo(1.969615506024416)
+ expect(matrix.b).toBeCloseTo(-0.34729635533386066)
+ expect(matrix.c).toBeCloseTo(0.34729635533386066)
+ expect(matrix.d).toBeCloseTo(1.969615506024416)
+ expect(matrix.e).toBeCloseTo(-25.84559306791384)
+ expect(matrix.f).toBeCloseTo(18.884042465472234)
})
})
describe('multiply()', function() {
it('multiplies two matices', function() {
- var matrix1 = new SVG.Matrix(2, 0, 0, 5, 0, 0)
- , matrix2 = new SVG.Matrix(1, 0, 0, 1, 4, 3)
+ var matrix1 = new SVG.Matrix(1, 4, 2, 5, 3, 6)
+ , matrix2 = new SVG.Matrix(7, 8, 8, 7, 9, 6)
, matrix3 = matrix1.multiply(matrix2)
- expect(matrix1.toString()).toBe('matrix(2,0,0,5,0,0)')
- expect(matrix2.toString()).toBe('matrix(1,0,0,1,4,3)')
- expect(matrix3.toString()).toBe('matrix(2,0,0,5,8,15)')
+ expect(matrix1.toString()).toBe('matrix(1,4,2,5,3,6)')
+ expect(matrix2.toString()).toBe('matrix(7,8,8,7,9,6)')
+ expect(matrix3.toString()).toBe('matrix(23,68,22,67,24,72)')
})
+
it('accepts matrices in any form', function() {
- var matrix1 = new SVG.Matrix(2, 0, 0, 5, 0, 0)
- , matrix2 = matrix1.multiply('1,0,0,1,4,3')
+ var matrix1 = new SVG.Matrix(1, 4, 2, 5, 3, 6)
+ , matrix2 = matrix1.multiply('7,8,8,7,9,6')
- expect(matrix1.toString()).toBe('matrix(2,0,0,5,0,0)')
- expect(matrix2.toString()).toBe('matrix(2,0,0,5,8,15)')
+ expect(matrix1.toString()).toBe('matrix(1,4,2,5,3,6)')
+ expect(matrix2.toString()).toBe('matrix(23,68,22,67,24,72)')
})
})
describe('translate()', function() {
it('translates matrix by given x and y values', function() {
var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).translate(10, 12.5)
-
expect(matrix.e).toBe(14)
expect(matrix.f).toBe(15.5)
})
+
+ it('does nothing if you give it no x or y value', function() {
+ var matrix = new SVG.Matrix(1, 2, 3, 4, 5, 6).translate()
+ expect(matrix.e).toBe(5)
+ expect(matrix.f).toBe(6)
+ })
})
describe('scale()', function() {
expect(matrix.a).toBe(3)
expect(matrix.d).toBe(3)
- expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.e).toBe(4 * 3)
+ expect(matrix.f).toBe(3 * 3)
})
it('performs a non-uniformal scale with two values', function() {
var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).scale(2.5, 3.5)
expect(matrix.a).toBe(2.5)
expect(matrix.d).toBe(3.5)
- expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.e).toBe(4 * 2.5)
+ expect(matrix.f).toBe(3 * 3.5)
})
it('performs a uniformal scale at a given center point with three values', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).scale(3, 150, 100)
+ var matrix = new SVG.Matrix(1, 3, 2, 3, 4, 3).scale(3, 2, 3)
expect(matrix.a).toBe(3)
- expect(matrix.d).toBe(3)
- expect(matrix.e).toBe(-296)
- expect(matrix.f).toBe(-197)
+ expect(matrix.b).toBe(9)
+ expect(matrix.c).toBe(6)
+ expect(matrix.d).toBe(9)
+ expect(matrix.e).toBe(8)
+ expect(matrix.f).toBe(3)
})
it('performs a non-uniformal scale at a given center point with four values', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).scale(3, 2, 150, 100)
+ var matrix = new SVG.Matrix(1, 3, 2, 3, 4, 3).scale(3, 2, 2, 3)
expect(matrix.a).toBe(3)
- expect(matrix.d).toBe(2)
- expect(matrix.e).toBe(-296)
- expect(matrix.f).toBe(-97)
+ expect(matrix.b).toBe(6)
+ expect(matrix.c).toBe(6)
+ expect(matrix.d).toBe(6)
+ expect(matrix.e).toBe(8)
+ expect(matrix.f).toBe(3)
})
})
describe('rotate()', function() {
it('performs a rotation with one argument', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).rotate(30)
+ var matrix = new SVG.Matrix(1, 3, 2, 3, 4, 3).rotate(30)
- expect(matrix.a).toBeCloseTo(0.8660254037844387)
- expect(matrix.d).toBeCloseTo(0.8660254037844387)
- expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.a).toBeCloseTo(-0.6339746)
+ expect(matrix.b).toBeCloseTo(3.09807621)
+ expect(matrix.c).toBeCloseTo(0.23205081)
+ expect(matrix.d).toBeCloseTo(3.59807621)
+ expect(matrix.e).toBeCloseTo(1.96410162)
+ expect(matrix.f).toBeCloseTo(4.59807621)
})
- it('performs a rotation on a given point with three arguments', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).rotate(30, 150, 100)
+ it('performs a rotation around a given point with three arguments', function() {
+ var matrix = new SVG.Matrix(1, 3, 2, 3, 4, 3).rotate(30, 2, 3)
- expect(matrix.a).toBeCloseTo(0.8660254037844387)
- expect(matrix.d).toBeCloseTo(0.8660254037844387)
- expect(matrix.e).toBeCloseTo(74.0961894323342)
- expect(matrix.f).toBeCloseTo(-58.60254037844388)
+ expect(matrix.a).toBeCloseTo(-0.633974596216)
+ expect(matrix.b).toBeCloseTo(3.09807621135)
+ expect(matrix.c).toBeCloseTo(0.232050807569)
+ expect(matrix.d).toBeCloseTo(3.59807621135)
+ expect(matrix.e).toBeCloseTo(3.73205080757)
+ expect(matrix.f).toBeCloseTo(4.0)
})
})
expect(matrix.a).toBe(-1)
expect(matrix.d).toBe(1)
- expect(matrix.e).toBe(4)
+ expect(matrix.e).toBe(-4)
expect(matrix.f).toBe(3)
})
it('performs a flip over the horizontal axis over a given point with two arguments', function() {
expect(matrix.a).toBe(-1)
expect(matrix.d).toBe(1)
- expect(matrix.e).toBe(304)
+ expect(matrix.e).toBe(296)
expect(matrix.f).toBe(3)
})
})
expect(matrix.a).toBe(1)
expect(matrix.d).toBe(-1)
expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.f).toBe(-3)
})
it('performs a flip over the vertical axis over a given point with two arguments', function() {
var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).flip('y', 100)
expect(matrix.a).toBe(1)
expect(matrix.d).toBe(-1)
expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(203)
+ expect(matrix.f).toBe(197)
})
})
describe('with no axis given', function() {
expect(matrix.a).toBe(-1)
expect(matrix.d).toBe(-1)
- expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.e).toBe(-4)
+ expect(matrix.f).toBe(-3)
})
it('performs a flip over the horizontal and vertical axis over a given point with one argument that represent both coordinates', function() {
var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).flip(100)
expect(matrix.a).toBe(-1)
expect(matrix.d).toBe(-1)
- expect(matrix.e).toBe(204)
- expect(matrix.f).toBe(203)
+ expect(matrix.e).toBe(196)
+ expect(matrix.f).toBe(197)
})
it('performs a flip over the horizontal and vertical axis over a given point with two arguments', function() {
var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).flip(50, 100)
expect(matrix.a).toBe(-1)
expect(matrix.d).toBe(-1)
- expect(matrix.e).toBe(104)
- expect(matrix.f).toBe(203)
+ expect(matrix.e).toBe(96)
+ expect(matrix.f).toBe(197)
})
})
})
describe('skew()', function() {
it('performs a uniformal skew with one value', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(14)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(30)
expect(matrix.a).toBe(1)
- expect(matrix.b).toBeCloseTo(0.24932800284318)
- expect(matrix.c).toBeCloseTo(0.24932800284318)
+ expect(matrix.b).toBeCloseTo(0.57735026919)
+ expect(matrix.c).toBeCloseTo(0.57735026919)
expect(matrix.d).toBe(1)
- expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.e).toBeCloseTo(5.73205080757)
+ expect(matrix.f).toBeCloseTo(5.30940107676)
})
+
it('performs a non-uniformal skew with two values', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(8, 5)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(30, 20)
expect(matrix.a).toBe(1)
- expect(matrix.b).toBeCloseTo(0.087488663525924)
- expect(matrix.c).toBeCloseTo(0.14054083470239)
+ expect(matrix.b).toBeCloseTo(0.363970234266)
+ expect(matrix.c).toBeCloseTo(0.57735026919)
expect(matrix.d).toBe(1)
- expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.e).toBeCloseTo(5.73205080757)
+ expect(matrix.f).toBeCloseTo(4.45588093706)
})
+
it('performs a uniformal skew at a given center point with three values', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(3, 150, 100)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(30, 150, 100)
expect(matrix.a).toBe(1)
- expect(matrix.b).toBeCloseTo(0.052407779283041)
- expect(matrix.c).toBeCloseTo(0.052407779283041)
+ expect(matrix.b).toBeCloseTo(0.57735026919)
+ expect(matrix.c).toBeCloseTo(0.57735026919)
expect(matrix.d).toBe(1)
- expect(matrix.e).toBeCloseTo(-1.2407779283)
- expect(matrix.f).toBeCloseTo(-4.8611668924562)
+ expect(matrix.e).toBeCloseTo(-52.0029761114)
+ expect(matrix.f).toBeCloseTo(-81.2931393017)
})
+
it('performs a non-uniformal skew at a given center point with four values', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(9, 7, 150, 100)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(30, 20, 150, 100)
- expect(matrix.a).toBe(1)
- expect(matrix.b).toBeCloseTo(0.1227845609029)
- expect(matrix.c).toBeCloseTo(0.15838444032454)
- expect(matrix.d).toBe(1)
- expect(matrix.e).toBeCloseTo(-11.83844403245)
- expect(matrix.f).toBeCloseTo(-15.417684135435)
+ expect(matrix.a).toBe(1.0)
+ expect(matrix.b).toBeCloseTo(0.363970234266)
+ expect(matrix.c).toBeCloseTo(0.57735026919)
+ expect(matrix.d).toBe(1.0)
+ expect(matrix.e).toBeCloseTo(-52.0029761114)
+ expect(matrix.f).toBeCloseTo(-50.1396542029)
})
- it('can be chained', function(){
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(9, 7).skew(20, 40)
- expect(matrix.a).toBeCloseTo(1.1329003254605)
- expect(matrix.b).toBeCloseTo(0.96188419208018)
- expect(matrix.c).toBeCloseTo(0.52235467459074)
- expect(matrix.d).toBeCloseTo(1.0446899253961)
- expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ it('can be chained', function(){
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skew(20, 30).skew(30, 20)
+ expect(matrix.a).toBeCloseTo(1.33333333333)
+ expect(matrix.b).toBeCloseTo(0.941320503456)
+ expect(matrix.c).toBeCloseTo(0.941320503456)
+ expect(matrix.d).toBeCloseTo(1.13247433143)
+ expect(matrix.e).toBeCloseTo(8.1572948437)
+ expect(matrix.f).toBeCloseTo(7.16270500812)
})
})
describe('skewX', function(){
it('performs a skew along the x axis with one value', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewX(12)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewX(30)
expect(matrix.a).toBe(1)
expect(matrix.b).toBe(0)
- expect(matrix.c).toBeCloseTo(0.21255656167002)
+ expect(matrix.c).toBeCloseTo(0.57735026919)
expect(matrix.d).toBe(1)
- expect(matrix.e).toBe(4)
+ expect(matrix.e).toBeCloseTo(5.73205080757)
expect(matrix.f).toBe(3)
})
it('performs a skew along the x axis at a given center point with three values', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewX(5, 150, 100)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewX(30, 150, 100)
expect(matrix.a).toBe(1)
expect(matrix.b).toBe(0)
- expect(matrix.c).toBeCloseTo(0.087488663525924)
+ expect(matrix.c).toBeCloseTo(0.57735026919)
expect(matrix.d).toBe(1)
- expect(matrix.e).toBeCloseTo(-4.74886635259)
+ expect(matrix.e).toBeCloseTo(-52.0029761114)
expect(matrix.f).toBe(3)
})
})
describe('skewY', function(){
it('performs a skew along the y axis with one value', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewY(12)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewY(30)
expect(matrix.a).toBe(1)
- expect(matrix.b).toBeCloseTo(0.21255656167002)
+ expect(matrix.b).toBeCloseTo(0.57735026919)
expect(matrix.c).toBe(0)
expect(matrix.d).toBe(1)
expect(matrix.e).toBe(4)
- expect(matrix.f).toBe(3)
+ expect(matrix.f).toBeCloseTo(5.30940107676)
})
it('performs a skew along the y axis at a given center point with three values', function() {
- var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewY(5, 150, 100)
+ var matrix = new SVG.Matrix(1, 0, 0, 1, 4, 3).skewY(30, 150, 100)
expect(matrix.a).toBe(1)
- expect(matrix.b).toBeCloseTo(0.087488663525924)
+ expect(matrix.b).toBeCloseTo(0.57735026919)
expect(matrix.c).toBe(0)
expect(matrix.d).toBe(1)
expect(matrix.e).toBe(4)
- expect(matrix.f).toBeCloseTo(-10.123299528889)
+ expect(matrix.f).toBeCloseTo(-81.2931393017)
})
})