From ab6f19499b30644823e56bdb710bcb2831393f01 Mon Sep 17 00:00:00 2001 From: matrixthecow Date: Tue, 12 Nov 2024 22:27:24 +0100 Subject: [PATCH] Mandelbrot updates (fullscreen) --- .../app/(experiments)/mandelbrot/page.md | 126 +++++++++++++++++- .../app/(experiments)/mandelbrot/page.tsx | 71 +++++++--- .../app/(homepage)/alex/page.tsx | 2 +- alexanderristinmaa/public/mandelbrot/main.go | 2 - .../public/mandelbrot/mandelbrot.png | Bin 0 -> 109857 bytes 5 files changed, 175 insertions(+), 26 deletions(-) create mode 100644 alexanderristinmaa/public/mandelbrot/mandelbrot.png diff --git a/alexanderristinmaa/app/(experiments)/mandelbrot/page.md b/alexanderristinmaa/app/(experiments)/mandelbrot/page.md index 642d938..cfbd4df 100644 --- a/alexanderristinmaa/app/(experiments)/mandelbrot/page.md +++ b/alexanderristinmaa/app/(experiments)/mandelbrot/page.md @@ -5,4 +5,128 @@ tags: - WebAssembly - Fractals --- -# Mandelbrot with Webassembly \ No newline at end of file +# Mandelbrot with Webassembly + +This is my first experience using webassembly! It turned out to be very interesting. + +![mandelbrot](/mandelbrot/mandelbrot.png "Mandelbrot") + +## Go "backend" +The idea was to create a go-mandelbrot kind of +backend. It looks something like this: + +```go +func mandelbrot(xStart, xEnd, yStart, yEnd float64, iterations int) { + deltaX := complex((xEnd-xStart)/float64(WIDTH), 0) + deltaY := complex(0, (yEnd-yStart)/float64(HEIGHT)) + + coord := complex(xStart, yStart) + + scaleIterations := 255.0 / float64(iterations) + + for y := 0; y < HEIGHT; y++ { + coord = complex(xStart, imag(coord)) + + for x := 0; x < WIDTH*4; x += 4 { + clr := testPoint(coord, iterations, scaleIterations) + index := y*WIDTH*4 + x + + pixels[index] = clr + pixels[index+1] = clr + pixels[index+2] = clr + pixels[index+3] = 255 + + coord += deltaX + } + + coord += deltaY + } +} + +func testPoint(c complex128, iterations int, scale float64) byte { + z := c + var zold complex128 + i := 0 + period := 0 + + for ; i < iterations; i++ { + if real(z)*real(z)+imag(z)*imag(z) > 4 { + break + } + + z = z*z + c + + if z == zold { + return byte(float64(iterations) * scale) + } + + period++ + if period == 20 { + zold = z + period = 0 + } + } + + return byte(float64(i) * scale) +} +``` + +The keen eye will have noticed the use of the `pixels` varaible which is not seen anywhere in the code. This is because the `pixels` variable is actually a buffer which is accessible from the javascript iterface. It is initalized by calling this function: + +```go +func allocateBuffer(w, h int) *byte { + WIDTH = w + HEIGHT = h + pixels = make([]byte, w*h*4) + + return &pixels[0] +} +``` + +The `mandelbrot` and `allocateBuffer` functions are exposed to the javascript client. + +## Compiling and connecting +The code can then be compiled like this: (more info at [Go Wiki Webassembly](https://go.dev/wiki/WebAssembly)) + +```bash +GOOS=js GOARCH=wasm go build -o main.wasm +``` + +Using the `wasm_exec.js` file provided by golang (see wiki link) the exposed go functions are loaded and called in the javascript like this: + +```typescript +await import("./mandelbrot/wasm_exec") // Node.js import + +const go = new global.Go(); // Defined in wasm_exec.js +const WASM_URL = '/mandelbrot/wasm.wasm'; + +wasm = (await WebAssembly.instantiateStreaming(fetch(WASM_URL), go.importObject)).instance; +go.run(wasm); + +({allocateBuffer, mandelbrot} = wasm.exports); +({width: WIDTH, height: HEIGHT} = document.getElementById("mandelbrotCanvas")!.getBoundingClientRect()); +bufferPointer = allocateBuffer(WIDTH, HEIGHT); + +renderMandelbrot(); +``` + +where this is the `renderMandelbrot` function which calls the `mandelbrot` function to populate a buffer with new pixel-values and then renders them on the canvas. + +```typescript +function renderMandelbrot() { + mandelbrot(xStart,xEnd,yStart,yEnd, iterations); // go function + + // Get the buffer (pixels in the go function) as a Uint8Array + const bufferArray = + new Uint8ClampedArray( + (wasm.exports.memory as WebAssembly.Memory) + .buffer + .slice(bufferPointer, bufferPointer+WIDTH*HEIGHT*4) + ); + + const ctx = (document.getElementById("mandelbrotCanvas")! as HTMLCanvasElement).getContext("2d"); + const imageData = new ImageData(bufferArray, WIDTH, HEIGHT, {colorSpace: "srgb"}); + + ctx?.putImageData(imageData,0,0); +} +``` \ No newline at end of file diff --git a/alexanderristinmaa/app/(experiments)/mandelbrot/page.tsx b/alexanderristinmaa/app/(experiments)/mandelbrot/page.tsx index 1b9313d..23517fd 100644 --- a/alexanderristinmaa/app/(experiments)/mandelbrot/page.tsx +++ b/alexanderristinmaa/app/(experiments)/mandelbrot/page.tsx @@ -10,41 +10,58 @@ let mandelbrot: any, allocateBuffer: any; let bufferPointer: number; let WIDTH : number, HEIGHT : number; -let xStart = -2; -let xEnd = 0.47; -let yStart = -1.12; -let yEnd = 1.12; +const initialBBox = [-2, -1.12, 0.47, 1.12]; + +let [xStart, yStart, xEnd, yEnd] = initialBBox; const ZOOMFACTOR = 8; +function scaleMandelbrot(canvasWidth: number, canvasHeight: number, initialBBox: number[]): number[] { + let ratio = canvasWidth / canvasHeight; + + if(ratio > 1) { + let diff2 = (initialBBox[2] - initialBBox[0]) * (ratio - 1) / 2; + return [initialBBox[0] - diff2, initialBBox[1], initialBBox[2] + diff2, initialBBox[3]]; + } + ratio = 1 / ratio; + let diff2 = (initialBBox[3] - initialBBox[1]) * (ratio - 1) / 2; + + return [initialBBox[0], initialBBox[1] - diff2, initialBBox[2], initialBBox[3] + diff2]; + +} + export default function Home() { const [iterations, setIterations] = useState(255); // useEffect is to make sure it is only run client-side useEffect(() => { - import("./mandelbrot/wasm_exec").then(() => { + const ctx = (document.getElementById("mandelbrotCanvas") as HTMLCanvasElement).getContext("2d"); + + ctx!.canvas.width = Math.floor(ctx!.canvas.clientWidth); + ctx!.canvas.height = Math.floor(ctx!.canvas.clientHeight); + + (async () => { + await import("./mandelbrot/wasm_exec") + const go = new global.Go(); // Defined in wasm_exec.js const WASM_URL = '/mandelbrot/wasm.wasm'; - WebAssembly.instantiateStreaming(fetch(WASM_URL), go.importObject).then(function (obj) { - wasm = obj.instance; - go.run(wasm); - - ({allocateBuffer, mandelbrot} = wasm.exports); - - ({width: WIDTH, height: HEIGHT} = document.getElementById("mandelbrotCanvas")!.getBoundingClientRect()); - - bufferPointer = allocateBuffer(WIDTH, HEIGHT); + wasm = (await WebAssembly.instantiateStreaming(fetch(WASM_URL), go.importObject)).instance; + go.run(wasm); - renderMandelbrot(); - }) - }); - }, []) + ({allocateBuffer, mandelbrot} = wasm.exports); - + [WIDTH, HEIGHT] = [ctx!.canvas.width, ctx!.canvas.height]; + [xStart, yStart, xEnd, yEnd] = scaleMandelbrot(WIDTH, HEIGHT, initialBBox); + + bufferPointer = allocateBuffer(WIDTH, HEIGHT); + + renderMandelbrot(); + })() + }, []) function renderMandelbrot() { - console.log(xStart, xEnd, yStart, yEnd) + console.log(xStart, yStart, xEnd, yEnd); mandelbrot(xStart,xEnd,yStart,yEnd, iterations); // Get the buffer as a Uint8Array @@ -71,12 +88,22 @@ export default function Home() { renderMandelbrot(); } + function resetMandelbrot() { + [xStart, yStart, xEnd, yEnd] = scaleMandelbrot(WIDTH, HEIGHT, initialBBox); + + renderMandelbrot(); + } + return (
- - + +

Click to zoom

+ Amount of iterations (better resolution, less performant): setIterations(parseInt(e.target.value) || 0)} /> +
+ +
) } \ No newline at end of file diff --git a/alexanderristinmaa/app/(homepage)/alex/page.tsx b/alexanderristinmaa/app/(homepage)/alex/page.tsx index fe5510b..a661082 100644 --- a/alexanderristinmaa/app/(homepage)/alex/page.tsx +++ b/alexanderristinmaa/app/(homepage)/alex/page.tsx @@ -5,7 +5,7 @@ export default function Home() { return (
- + vacker bild på alex med suddig bakgrund

Jag i Fontainebleau, Frankrike. 2024

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