public static Animation CreateComplexSumAnimation()
{
var matrixFill = (Brush)Brushes.Orange.LerpToTransparent(0.5);
var vectorFill = (Brush)Brushes.Blue.LerpToTransparent(0.7);
var c1 = new Complex(-0.5, -0.5) * Math.Sqrt(0.5);
var c2 = new Complex(-0.5, 0.5);
var r = 50;
var cy = 100;
var x1 = 125/2;
var x2 = 350/2;
var x3 = x2 + (x2-x1);
var f = 14;
var animation = new Animation {
new TextDesc("+", new Point((x1 + x2)/2.0, cy), new Point(0.5, 0.5), fontSize: 20),
new TextDesc("=", new Point((x3 + x2)/2.0, cy), new Point(0.5, 0.5), fontSize: 20),
new TextDesc(c1.ToPrettyString(), new Point(x1, cy - r), new Point(0.5, 1), fontSize: f),
new TextDesc(c2.ToPrettyString(), new Point(x2, cy - r), new Point(0.5, 1), fontSize: f),
new TextDesc((c1 + c2).ToPrettyString(), new Point(x3, cy - r), new Point(0.5, 1), fontSize: f),
new TextDesc(c1.ToMagPhaseString(), new Point(x1, cy + r), new Point(0.5, 0), fontSize: f),
new TextDesc(c2.ToMagPhaseString(), new Point(x2, cy + r), new Point(0.5, 0), fontSize: f),
new TextDesc((c1 + c2).ToMagPhaseString(), new Point(x3, cy + r), new Point(0.5, 0), fontSize: f),
new TextDesc("Adding Complex Numbers: Place Arrows End to End",
new Point(x2, 5),
new Point(0.5, 0),
fontSize: 15,
foreground: Brushes.Gray),
ShowComplex(vectorFill,
Brushes.Black,
c1,
new Point(x1, cy),
r),
ShowComplex(matrixFill,
Brushes.Black,
c2,
new Point(x2, cy),
r)
};
var p = animation.Dilated(0.4.Seconds()).Periodic(10.Seconds());
p.LimitedSameTime(0.Seconds(), 9.5.Seconds()).Add(ShowComplexSum(
Brushes.Transparent,
vectorFill.LerpTo(matrixFill, 0.5),
Brushes.Black,
new Ani<Complex>[] {c1, c2},
new Point(x1, cy),
new Point(x3, cy),
new Vector(x2-x1, 0),
r,
p.Proper));
var s2 = p.LimitedSameTime(9.5.Seconds(), 10.Seconds());
s2.Add(ShowComplex(Ani.Anon(t => vectorFill.LerpTo(matrixFill, 0.5).LerpToTransparent(s2.Proper.ValueAt(t))),
Ani.Anon(t => (Brush)Brushes.Black.LerpToTransparent(s2.Proper.ValueAt(t))),
c1 + c2,
new Point(x3, cy),
r));
return animation;
}
public static Animation CreateComplexProductAnimation()
{
var matrixFill = (Brush)Brushes.Orange.LerpToTransparent(0.5);
var vectorFill = (Brush)Brushes.Blue.LerpToTransparent(0.7);
var c1 = new Complex(1, 1) / 2;
var c2 = new Complex(-1, 1) / 2;
var r = 50;
var cy = 100;
var x1 = 125 / 2;
var x2 = 350 / 2;
var x3 = x2 + (x2 - x1);
var f = 14;
var animation = new Animation {
new TextDesc("*", new Point((x1 + x2)/2.0, cy), new Point(0.5, 0.5), fontSize: 20),
new TextDesc("=", new Point((x3 + x2)/2.0, cy), new Point(0.5, 0.5), fontSize: 20),
new TextDesc(c1.ToPrettyString(), new Point(x1, cy - r), new Point(0.5, 1), fontSize: f),
new TextDesc(c2.ToPrettyString(), new Point(x2, cy - r), new Point(0.5, 1), fontSize: f),
new TextDesc((c1*c2).ToPrettyString(), new Point(x3, cy - r), new Point(0.5, 1), fontSize: f),
new TextDesc(c1.ToMagPhaseString(), new Point(x1, cy + r), new Point(0.5, 0), fontSize: f),
new TextDesc(c2.ToMagPhaseString(), new Point(x2, cy + r), new Point(0.5, 0), fontSize: f),
new TextDesc((c1*c2).ToMagPhaseString(), new Point(x3, cy + r), new Point(0.5, 0), fontSize: f),
new TextDesc("Complex Product: Multiply Magnitudes, Add Phases",
new Point(x2, 5),
new Point(0.5, 0),
fontSize: 15,
foreground: Brushes.Gray),
ShowComplex(vectorFill,
Brushes.Black,
c1,
new Point(x1, cy),
r),
ShowComplex(matrixFill,
Brushes.Black,
c2,
new Point(x2, cy),
r)
};
var p = animation.Dilated(0.4.Seconds()).Periodic(10.Seconds());
var s1 = p.LimitedSameTime(0.Seconds(), 3.Seconds());
s1.Add(ShowComplex(vectorFill,
Brushes.Black,
c1,
Ani.Anon(
t =>
new Point(x1, cy).SmoothLerpTo(new Point(x3, cy), (s1.Proper.ValueAt(t)*1.5).Min(1))
+ new Vector(0, (s1.Proper.ValueAt(t)*1.5).Min(1).LerpTransition(0, -25, 0))),
r,
rotation: Ani.Anon(t => Turn.FromNaturalAngle(0.0.SmoothLerpTo(Math.PI/2, (s1.Proper.ValueAt(t)*2).Min(1))))));
s1.Add(ShowComplex(matrixFill,
Brushes.Black,
c2,
Ani.Anon(
t =>
new Point(x2, cy).SmoothLerpTo(new Point(x3, cy), (s1.Proper.ValueAt(t)*1.5).Min(1))
+ new Vector(0, (s1.Proper.ValueAt(t)*1.5).Min(1).LerpTransition(0, -25, 0))),
r));
var sb = p.LimitedSameTime(3.Seconds(), 9.Seconds());
sb.Add(
ShowComplexProduct(vectorFill,
matrixFill,
Brushes.Black,
Brushes.Black,
c1,
c2,
new Point(x3, cy),
r,
Ani.Anon(t => (sb.Proper.ValueAt(t)*1.2).Min(1)),
vectorFill.LerpTo(matrixFill, 0.5)));
var s2 = p.LimitedSameTime(9.Seconds(), 9.5.Seconds());
s2.Add(ShowComplex(Ani.Anon(t => vectorFill.LerpTo(matrixFill, 0.5).LerpToTransparent(s2.Proper.ValueAt(t))),
Ani.Anon(t => (Brush)Brushes.Black.LerpToTransparent(s2.Proper.ValueAt(t))),
c1*c2,
new Point(x3, cy),
r));
return animation;
}
