54.ZoomRedux.maxpat

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					"text" : "commented and expanded upon by brecht@autofasurer"
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					"text" : "compare the two values: one directly from the counter, the other from after the counter+int%counterMax.\nBoth count to the same number, but with a difference of half of the maximum. "
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					"text" : "% or modulo gives the remainder of a devision. "
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					"text" : "we add the value above to our counter output (which goes to the double of this). This way this number will always be half of the count maximum higher"
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					"text" : "- The expression raises 2 to the incoming number, so 2 to the power of x. \n- It subtracts 1, because if x is 0, 2 to the power 0 = 1. (any number to the 0th power  = 1 ) We want to start growing our planes from scale 0., so we need to subtract 1. \n- I took out the * 0.75 and replaced it by a second input. Change it to see the effect. "
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					"text" : "These two blocks are exactly the same. They control the scaling of the videoplanes. Since both planes are not the same size, we can conclude they get different input and hence generate different results. "
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					"text" : "switching layer order"
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					"text" : "this number sets the (half of the) maximum value of the counter and defines how fast the videoplanes will grow. "
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					"text" : "By using two videoplanes, the illusion of a continous zooming 'droste' effect is created. Simply put, the plane is rendered in the center at scale 0. 0. 0. and then grows. Once it fills the entire screen, the other videoplane is set to scale 0 0 0. \nUsing the 'layer $1' message, whichever videoplane is currently small becomes the top layer. "
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					"text" : "read comments in jit.gl.pix first then check this sub patch."
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									"text" : "expr sqrt($f1*$f1)+($f2*$f2)"
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									"text" : "We also have to fake the 'length' object, because it doesn't exist outside jit.gl.pix or jit.gen. It basically calculates the 'length of a vector'. This is actually the equivalent of Pythagorean theorem, where these two values and the origin (point 0, 0) are the points of the hypothenuse. Yay math! I can explain more next workshop if need be. \nSo in order to find this 'length' we need to do this (the 2's are power of 2): c2 = (xA − xB)2 + (yA − yB)2. If we take the square root of c we get the lenght. The further our point is away from the center (0,0), the higher the value of c will be, which, if we use it to set the color, we will get a nice, radial gradient! \nYou can follow the entire calculation step by step from the top."
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									"text" : "pack the y value twice into a list, because the vexpr below needs a list of two values (otherwise we'll only get 1 number as a result)"
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									"text" : "the simplified version of 'swiz y', we'll only use the second value. (i.e. [x, y] comes in [y] is swizzled out)"
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									"text" : "And a nice pwindow to visualize which cell we're currently working with"
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									"text" : "the current cell we're at and equivalent of what comes out of the 'cell' object in jit.gl.pix. "
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									"text" : "the first counter goes from 0 to 49, and when it reaches 49 bangs out of the third outlet, which increments the second counter."
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									"text" : "using 2 counters to simulate going through all the cells in our matrix, starting with 0,0 and going to 49, 49"
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									"text" : "these are the parameter definitions. We can choose any name we want. Instead of thresh and fade we can call them bacon and eggs, but it's best to make it something which clarifies the function of the parameter."
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									"text" : "This is where things get hairy!\n\nJit.gl.pix allows you to make pixel processing shaders (or 'fragment shaders') by patching. A fragment shader does calculations on a pixel-by-pixel basis, each pixel, or 'fragment', is processed individually, but all of them are processed together in parallel by the GPU. Fancy and fast!\n\nLet's see what happens:  the 'in 1' object is like an inlet. It's where our matrix enters the pixel processing pipeline. Important to know with shaders is that they need to output the same number of planes as you put in. The jit.qt.grab in the main patch outputs 4 planes, A R G B. (you can check it with a jit.matrixinfo) which means we will need to output 4 planes as well. \n\nWhat we want to do in this pix object is to make a nice circular mask around our video which means we want to change the Alpha channel. Our Red Green and Blue channels can be passed out without any change; we just keep the colors as they come in from the camera. \nSo we need to split these channels somehow, create the mask in the alpha channel, and put them all together again. \nThis is what the 'swiz' object does. Swizzling in computer graphics lingo means rearranging the elements of a vector. In this case our 'vector' is [ A R G B ], the planes coming from jit.grab. We 'swiz r g b' which means we take the incoming [ A R G B ] and output [ R G B ]. You can play around with this and change the order to e.g. [ B G R ], or [ R R R ]. Try it to understand what's going on there. \n\nOK. So, we swizzled our r g b channels out of the input, great, but as stated before, we need to output the same number of channels as came in...so we need to add our alpha channel at some point. This is what's being done in the 'concat 0 0' object. It takes two inputs and outputs it as 1, in this case our [ R G B ] in the left inlet, and [ A ] in the right inlet. \nNow remember: the computer doesn't know what the difference is between r, g, b or alpha. All it knows is: i'm getting 3 + 1 channels and I'm outputting 4, and since this is gpu land, these color channels represent RGBA. If you change it around by connecting the outlet of 'smoothstep' to the left inlet of 'concat' and the outlet of 'swiz r g b' to the right inlet of 'concat', all that would happen is that max will interpret the mask we created as the red channel, the actual red channel as the green, green as blue and blue as alpha. (ARGB instead of the intended RGBA). \n\nNice. We passed our colors through, added an alphachannel and are outputting 4 channels as needed. But how is this alpha channel mask generated?\nWe start at the top with two objects, explained in the manual as: (with this patch unlocked, alt-click on the object to see a pop-up help balloon, click the little 'i' inside to go to the manual)\n\n- cell : Cell coordinates of input matrix [0, dim-1]: every cell in our matrix has a coordinate. Our input matrix is 640x480 and we start numbering at 0,0 (the top left pixel) and end at 'dimensions-1': 639, 479 (the bottom right pixel)\n\n- dim : Dimensions of input matrix: our input matrix is the jit.qt.grab which is initialized as 640 480, so those are our input dimensions. \n\nTo understand what's happening here, I've made a small subpatch in the main patch that does more or less the same thing, but explains the math behind it step by step; double click 'p gradient' in the main patch to check it out and then come back here for the wrap up! \n.\n.\n.\nWelcome back! After we generated that radial gradient, we're applying the 'smoothstep': \n\nsmoothstep : Smoothstep is a scalar interpolation function commonly used in computer graphics. The function interpolates smoothly between two input values based on a third one that should be between the first two. The returned value is clamped between 0 and 1. The slope (i.e. derivative) of the smoothstep function starts at 0 and ends at 0. \nCheck out the beforeSmoothstep.jpg and afterSmoothstep.jpg to get a better idea. \n\nSo. That's it for jit.gl.pix. We created a nice masked image out of our camera input which we'll now send to the jit.gl.videoplanes. Whereever there's transparency in the alpha channel, the videoplane will be transparent as well."
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