Can raphaeljs shapes be transformed into one another? - path

I have one shape
var a = paper.rect(10,10,50,20);
I want to transform this shape into
var b = paper.circle(10,10,20);
Is there any way to transform these inbuilt shapes into one another. I know paths can be transformed anyhow you want them to but can shapes also be transformed?

You can do this if with a little creativity. A rectangle can be a circle if width, height and r (radius) are all the same. Then transforming a rect to a "circle" becomes:
p=Raphael(10, 50, 600, 300);
myrect=p.rect(50,50, 300,150,0).attr({"fill":"cyan"});
myrect.animate({"width":25,"height":25, "r":25}, 3000);
JSfiddle: http://jsfiddle.net/s1pz6Lzc/30/

I don't think that is possible, except if you simply fade out one shape and fade in the other one. The reason for this is that at some point in time during the conversion the shape is neither a rectangle nor a circle, while any single animated shape in SVG has to remain the same kind of shape throughout the animation, I believe.

Related

How to reset a Rectangle's x,y,width,height, after transform

I have an app that uses konvajs, where I set rectangles to be resizable. I have it set such that after I transform the rectangle I set the scaleX and scaleY to 1 so I can just use x, y, width, and height. I do this with the following code:
myRectangle.on('transformend', function() {
myRectangle.width(Math.round(myRectangle.width() * myRectangle.scaleX()));
myRectangle.height(Math.round(myRectangle.height() * myRectangle.scaleY()));
myRectangle.scaleX(1);
myRectangle.scaleY(1);
});
However, sometimes after I resize (usually if I "flip" the rectangle by dragging up or to the left), the x, y, width and height are strange values. Sometimes the width or height is negative, sometimes it seems like the x and y positions do not refer to the top left of the rectangle. I want to be able to extract information about the rectangle, so I would like position to be top left of the rectangle with positive width and height values. I don't mind resetting these values after the rectangle is tranformed, but I am not quite sure how konvajs is calculating the x,y,width, and height so I can't properly reset them. Is there some metric indicating when a tranform "flips" a rectangle? Or some other way to reset it?
It seems that setting flipEnabled and rotationEnabled to false on the transformer prevents rotations from happening.
To get a visual sense of what is happening to the attrs during the transform, take a look at the demo in the official docs here and pay special attention to width/height, rotation and scale as you resize by dragging the right edge first, then repeat with the bottom edge.
It will help to understand that dragging a Transformer handle changes the scale of the rectangle - not the width or height. However this is not the end of the story - if you 'flip' the shape in the horizontal axis then you will see that the rotation is changed from zero to 180 degrees and the scaleX remains positive. But if you drag and flip the shape in the vertical axis then there is no rotation effect and the scaleY switches to negative.
Long story short - at the moment I can't think of a useful use-case that requires trying to redraw the rectangle without scale or rotation affects, which I will refer to as the 'plain' rect versus the 'exotic' rect you get after using the Transformer.
If the use-case is hit detection via your own math then you have everything you need to know in the rects x & y, width & height, rotation and scaleX & scaleY. Even if you could get the attrs for a plain rect you would still have the same params to plug into your math, so recomputing the plain rect is wasted effort.
If the use-case is storage (serialization) of the rect's attrs then again the same point as above - you need to store the position, rotation, size, and scale so as to be able to redraw it later.
A legitimate use-case for resetting scale to 1 would be if your app's business case requires it. But this only covers resetting:
rect.seAttrs({
width: rect.width() * scaleX,
height: rect.height() * scaleY,
scaleX: 1,
scaleY: 1
}
and leaves the rect at the same position and rotation.
Conclusion: attempting to recompute a plain rect from an exotic rect may not be worth the effort in some cases.

Trouble implementing shadows in WebGL

I am trying to implement shadows into my WEBGL 2.0 Project using this tutorial
https://webgl2fundamentals.org/webgl/lessons/webgl-shadows.html
Currently I am getting really bad results like this:
Basically a ton of the terrain is being drawn in shadow that shouldn't be. The light projection is from your camera towards the direction you are looking so hypothetically you shouldn't be able to see any shdaows becuase the light projection is the same as your camera ( I am just doing this for testing until I can get this working properly)
I have everything the same as the tutorial I believe except I am using glMatrix instead of their matrix math library (shouldn't matter I would assume). Here's the thing though. I don't use a model view matrix for anything I am rendering so none of my points are on a -1,1 range. They can go out as far as -3200...ect Its just all one big terrain mesh chunked out.
I think the issue lies with how I am creating the texture matrix
textureMatrix = glMatrix.mat4.create();
glMatrix.mat4.translate(textureMatrix,textureMatrix,[0.5,0.5,0.5]);
glMatrix.mat4.scale(textureMatrix,textureMatrix,[0.5,0.5,0.5]);
glMatrix.mat4.multiply(textureMatrix,textureMatrix, projectionMatrix);
glMatrix.mat4.invert(lightMatrix,lightMatrix);
glMatrix.mat4.multiply(textureMatrix,textureMatrix, lightMatrix);
I am using the same matrix for the light projection as your normal projection, is that an issue? if anyone could help it would be greatly appreciated.
That's probably because the Y position of your light (in your example, it is much more the distance between the eye and the scene) is too big for the Z size of your shadow volume (the size of your shadow volume in the view direction.) Here if posY is inside the wireframe box :
But if you increase posY too much (i.e. your shapes get out of the shadow volume, they disappear
So you should increase the size of your shadow volume (or shrinken your scene, either way.) You cannot simulate that with the slider because they just give you the control to the two dimensions X and Y dimensions : projWidth and projHeight.
i.e. in the last code in your tutorial page, the latest parameter ("far") for example change it from 10 to 100
const lightProjectionMatrix = settings.perspective
? m4.perspective(
degToRad(settings.fieldOfView),
settings.projWidth / settings.projHeight,
0.5, // near
10) // far
: m4.orthographic(
-settings.projWidth / 2, // left
settings.projWidth / 2, // right
-settings.projHeight / 2, // bottom
settings.projHeight / 2, // top
0.5, // near
100); // far
Then you can increase posY far more :
without having your full code, it is hard to reproduce and help you. Could you not try to just inject your scene into the tutorial code ? You can bind the viewpoint with the source and orientation of the light by using the same inputs : (just adding 0.5 to X to see a bit of shadow and make sure it is properly computed.)
/*const cameraPosition = [settings.cameraX, settings.cameraY, 15];*/
const cameraPosition = [settings.posX+0.5, settings.posY, settings.posZ];
/*const target = [0, 0, 0]; */
const target = [settings.targetX, settings.targetY, settings.targetZ];

What do the coordinates mean in love.graphics.polygon

I don't know which numbers do what in the coordinates example here. I imagine they mean things like place the top left corner at this position and the bottom right corner at this position, but I don't know which number corresponds to which position.
I've been trying to fool around with the numbers to get a small green rectangle but keep getting weird results like the following, and don't know which numbers need to be what is order to make the rectangle symmetrical and at the bottom
This is what the rectangle should look like
The height of the rectangle is 50, the height of the screen is 1000, and the width of the screen is 1700.
Here's my draw function
function love.draw()
love.graphics.setColor(0.28, 0.63, 0.05) -- set the drawing color to green for the ground
love.graphics.polygon("fill", objects.ground.body:getWorldPoints(objects.ground.shape:getPoints())) -- draw a "filled in" polygon using the ground's coordinates
-- These are the grounds coordinates. -11650 950 13350 950 13350 1000 -11650 1000
love.graphics.setColor(0.76, 0.18, 0.05) --set the drawing color to red for the ball
love.graphics.circle("fill", objects.ball.body:getX(), objects.ball.body:getY(), objects.ball.shape:getRadius())
love.graphics.setColor(0.20, 0.20, 0.20) -- set the drawing color to grey for the blocks
love.graphics.polygon("fill", objects.block1.body:getWorldPoints(objects.block1.shape:getPoints()))
love.graphics.polygon("fill", objects.block2.body:getWorldPoints(objects.block2.shape:getPoints()))
print(objects.block1.body:getWorldPoints(objects.block1.shape:getPoints()))
end
As described at https://love2d.org/wiki/love.graphics, Löve's coordinate system has (0, 0) at the upper left corner of the screen. X values increase to the right, Y values increase down.
The polygon function expects the drawing mode as it's first parameter, and the the remaining (variable) parameters are the coordinates of the vertices of the polygon you wish to draw. Since you want to draw a rectangle you need four vertices/eight numbers. You do not have to list the upper left corner of the rectangle first, but that's probably the easiest thing to do.
So in your case, you want something like:
love.graphics.polygon('fill', 0, 950, 0, 1000, 1700, 1000, 1700, 950)
I've not worked with the physics system, so I'm not quite sure how it's coordinate system relates to "screen" coordinates. The values you show in the comment in your code listing seem like they should give a rectangle (although x = -11650 wouldn't be on screen). You might try experimenting without the physics system first.
Also, since the physics system in Löve is just a binding to Box2D, you might want to read its documentation (http://box2d.org/about/). Not really sure what you're trying to do with feeding shape:getPoints into body:getWorldPoints.

Polar transformation in iOS

Can anyone help me to achieve this kind of animated transformation through Core Graphics. Look at the rough sketch:
This is a simple chart graphic, and I need to transform a histogramm-style bar (left shape) to a pie chart (right shape).
Literally the task is to roll a rectangle to a ring with a smooth animation. I almost found the way to do this with a tricky queue of drawings, mask clippings and affine transformations but this won't look exactly how I want it to look.
This is an interesting challenge, especially as you want to maintain the different segments. I won't give you a full answer (i.e full example code to achieving this), but I will explain what I think needs to be done to achieve the effect that you want.
Paths
First, I see both of these diagrams as a single line that is stroked (let's ignore the segments for a moment), so the challenge is going from a straight line to an enclosed circle.
I propose the following two paths, that you can animate between to achieve a nice wrapping effect.
// As we render a circle as a chain of straight line segments
// changing the count of said segments makes the circle more or less smooth
// Try this with other values, such as 8 or 32
let segments = 72
// With this segment count, the angle of each segment in the circle is
let angle = (2 * CGFloat(M_PI)) / CGFloat(segments)
// First path (straight)
let length = CGFloat(300.0)
let segmentLength = length / CGFloat(segments)
let straightPath = CGPathCreateMutable()
CGPathMoveToPoint(straightPath, nil, 0.0, 0.0)
for i in 0...segments {
CGPathAddLineToPoint(straightPath, nil, 0.0, CGFloat(i) * segmentLength)
}
// Second path (circle)
let radius = CGFloat(100.0)
let center = CGPoint(x: 104.0, y: 104.0)
let space = (x: 2.0, y: 2.0)
var circlePath = CGPathCreateMutable()
CGPathMoveToPoint(circlePath, nil, center.x + radius, center.y)
for i in 0...segments {
let x = cos(-CGFloat(i) * angle)
let y = sin(-CGFloat(i) * angle)
CGPathAddLineToPoint(circlePath, nil, center.x + radius * x, center.y + radius * y)
}
I have also uploaded a Swift plaground for you to experiment with, which you can find here
Segments
Now, handling the segments can be a bit tricky, however I propose a relatively naive implementation that might work. Mainly, CAShapeLayer has the following two properties - strokeStart and strokeEnd, which allow controlling the part of the path that is actually stroked.
With this in mind, you could create as many layers as there are segments, assign them all the same path(s) and tweak their respective strokeStart and strokeEnd properties to make it look the way you expect. Somewhat similar to what they do in this post.
Animation
Assuming you have conquered the previous two aspects, the animation aspect should be relatively straight forward, using the two types of paths you have, you can create a simple CABasicAnimation that goes from one to another. I will assume you are familiar with CoreAnimation and its usage (i.e how to properly change model values to match those that are presented etc.).
I will end my answer with a quick animation showing what the end result could look like (minus the segments), I have frozen the animation and am manipulating the timeOffset property of the layer to manually scrub through it.
I hope my answer helps you get closer to the solution you want. It is also important to emphasise that my code examples are just a beginning, you will likely need to tweak the values quite a bit to achieve a satisfying animation (for example, the length of the line should be similar to that of the circumference of the circle).
Skewing, twisting and bending are none trivial transformations on bodies.
These can't be done Core Graphics.
Better draw the chart yourself with CGContextAddArcToPoint in core graphic and mask out the inner circle.
The other (hardcore) way would be using a 3d engine - i.e. scene kit - and apply your chart as texture to it.

CATransform3D - understanding the transform values

The picture shows a simple UIView after applying the following transform:
- (CATransform3D) transformForOpenedMenu
{
CATransform3D transform = CATransform3DIdentity;
transform.m34 = -1.0 /450;
transform = CATransform3DRotate(transform, D2R(40), 0, 1, 0);
transform = CATransform3DTranslate(transform, 210, 150, -500);
return transform;
}
I'm trying to make the distances highlighted with black to have equal length. Could you please help me understand the logic behind the values and calculations?
Cheers
UPD Sept 13
Looks like removing 3DTranslate keeps distances equal. I see I can use layer's frame property to reposition rotated view to the bottom left of the screen. Not yet sure, but this might actually work.
The .m34 value you are setting is best set on the sublayerTransform of the containing view rather than the view you are transforming.
I don't fully understand the maths behind affine transforms so I made this project which allows me to play around with the transform values to achieve the effect I want. You can plug in the values from your code above and see what it looks like, though note that there is already a perspective value applied using the sublayerTransform property mentioned above.
For your specific case, I think you want to adjust the anchor point of the layer to (0.0,0.5) and apply the rotation transform only. This assumes you want the menu to swing back like a door, with the hinges on the left edge.
The problem you're seeing is caused by your CATransform3DTranslate call. You're essentially setting the Y Axis off center, and hence seeing a different perspective view of the frame.
Think of it this way;
You're standing in the center of a long narrow field stretching off into the horizon. The edge of the field appears as if it is converges to a center point somewhere off in the distance. The angle of each edge to the converging point will appear equal if you are at the center of the field. If, on the other hand, you move either to the left or the right, the angles change and one will seem greater than the other (inversely opposite of course).
This is essentially what is happening with your view; As your converging points are to the right, changing the Y axis away from 0 will have the same effect as moving to the left or right in my example above. You're no longer looking at the parallel lines from the center.
so in your code above Setting the ty in CATransform3DTranslate to 0 Should fix your problem I.E.
transform = CATransform3DTranslate(transform, 210, 0, -500);
You may also need to alter the tz and tx Value to make it fit.
OK, so what eventually solved my question is this:
3D transform on Y axis to swing the view like a door transform = CATransform3DRotate(transform, D2R(40), 0, 1, 0);
set Z anchor point on a layer, to move it back targetView.layer.anchorPointZ = 850;
adjust layer position so that the view is located slightly to the bottom left of the parent view:
newPosition.x += 135 * positionDirection;
newPosition.y += 70 * positionDirection;
This sequence adjusts position without CATransform3DTranslate and keeps the 'swinged' effect not distorted.
Thanks everybody!

Resources