add ability to sieve custom function
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@@ -20,6 +20,7 @@
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<hgroup>
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<hgroup>
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<h1>Sieving Multiplicative Functions</h1>
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<h1>Sieving Multiplicative Functions</h1>
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<p>Posted <time datetime="2026-04-15">April 15, 2026</time></p>
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<p>Posted <time datetime="2026-04-15">April 15, 2026</time></p>
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<p>Updated <time datetime="2026-05-04">May 4, 2026</time></p>
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</hgroup>
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</hgroup>
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<p>The
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<p>The
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@@ -76,8 +77,15 @@
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<option value="mobius">Mobius</option>
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<option value="mobius">Mobius</option>
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<option value="big-omega">Prime omega (with multiplicity)</option>
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<option value="big-omega">Prime omega (with multiplicity)</option>
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<option value="little-omega">Prime omega (without multiplicity)</option>
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<option value="little-omega">Prime omega (without multiplicity)</option>
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<option value="custom">Custom</option>
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</select>
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</select>
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<label hidden id="custom-function-label" for="custom-function">Custom function definition</label>
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<textarea hidden spellcheck=false placeholder="return Math.pow(p, k-1) * (p-1);" id="custom-function"></textarea>
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<label hidden id="custom-function-additive-label" for="custom-function-additive">Function is additive</label>
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<input hidden type="checkbox" id="custom-function-additive" />
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<input type="button" id="enter" value="Enter" />
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<input type="button" id="enter" value="Enter" />
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</div>
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</div>
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@@ -1125,7 +1133,8 @@ function mobius(p, k) {
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<p>Many multiplicative and additive functions have simple formulas
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<p>Many multiplicative and additive functions have simple formulas
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for prime powers, which makes adding a new function to sieve very
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for prime powers, which makes adding a new function to sieve very
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easy with this approach.</p>
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easy with this approach. The demo even lets you write your own custom
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function to sieve - try it out!</p>
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</section>
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</section>
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<section>
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<section>
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@@ -133,6 +133,14 @@ function sieveMultiples(p, q, l, r, y, sieve, quo, additive) {
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}
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}
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}
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}
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function setCustomFunctionVisibility(e) {
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const isHidden = e.target.value !== "custom";
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document.querySelector("#custom-function-label").hidden = isHidden;
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document.querySelector("#custom-function").hidden = isHidden;
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document.querySelector("#custom-function-additive-label").hidden = isHidden;
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document.querySelector("#custom-function-additive").hidden = isHidden;
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}
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function getFunc(func) {
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function getFunc(func) {
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switch (func.value) {
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switch (func.value) {
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case "num-divisors":
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case "num-divisors":
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@@ -149,6 +157,11 @@ function getFunc(func) {
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return [littleOmega, true];
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return [littleOmega, true];
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case "big-omega":
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case "big-omega":
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return [bigOmega, true];
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return [bigOmega, true];
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case "custom":
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const def = document.querySelector("#custom-function");
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const isAdditive = document.querySelector("#custom-function-additive");
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const f = new Function("p", "k", def.value);
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return [f, isAdditive.checked];
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default:
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default:
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throw new Error("function not implemented!");
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throw new Error("function not implemented!");
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}
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}
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@@ -219,4 +232,5 @@ function calculate() {
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result.appendChild(table);
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result.appendChild(table);
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}
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}
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document.querySelector("#function").addEventListener("change", (e) => setCustomFunctionVisibility(e))
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document.querySelector("#enter").addEventListener("click", () => calculate())
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document.querySelector("#enter").addEventListener("click", () => calculate())
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