Updated grid size heuristic to use statistical model
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@ -29,30 +29,36 @@ function dividers(a, b) {
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return factors(d);
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}
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const commonGridScales = [35, 70, 72, 111, 140, 144, 300];
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// The mean and standard deviation of > 1500 maps from the web
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const gridSizeMean = { x: 31.567792, y: 32.597987 };
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const gridSizeStd = { x: 14.438842, y: 15.582376 };
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// Most grid scales are above 10 and below 100
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function gridScaleVaild(x, y) {
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// Most grid sizes are above 10 and below 100
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function gridSizeVaild(x, y) {
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return x > 10 && y > 10 && x < 100 && y < 100;
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}
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export function gridSizeHeuristic(width, height) {
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const div = dividers(width, height);
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if (div.length > 0) {
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let x = 1;
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let y = 1;
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// Check common scales but make sure the grid size is above 10 and below 100
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for (let scale of commonGridScales) {
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const tempX = Math.floor(width / scale);
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const tempY = Math.floor(height / scale);
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if (div.includes(scale) && gridScaleVaild(tempX, tempY)) {
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x = tempX;
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y = tempY;
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// Find the best division by comparing the absolute z-scores of each axis
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let bestX = 1;
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let bestY = 1;
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let bestScore = Number.MAX_VALUE;
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for (let scale of div) {
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const x = Math.floor(width / scale);
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const y = Math.floor(height / scale);
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const xScore = Math.abs((x - gridSizeMean.x) / gridSizeStd.x);
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const yScore = Math.abs((y - gridSizeMean.y) / gridSizeStd.y);
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if (xScore < bestScore || yScore < bestScore) {
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bestX = x;
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bestY = y;
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bestScore = Math.min(xScore, yScore);
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}
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}
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if (gridScaleVaild(x, y)) {
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return { x, y };
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if (gridSizeVaild(bestX, bestY)) {
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return { x: bestX, y: bestY };
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}
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}
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return { x: 22, y: 22 };
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