modular: Add comment. Add benchmark
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benchmark/modular.js
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10
benchmark/modular.js
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@ -0,0 +1,10 @@
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import { run, mark } from 'micro-bmark';
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import { secp256k1 } from '../secp256k1.js';
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run(async () => {
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console.log(`\x1b[36mmodular, secp256k1 field\x1b[0m`);
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const { Fp } = secp256k1.CURVE;
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await mark('invert a', 30000, () => Fp.inv(2n ** 232n - 5910n));
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await mark('invert b', 30000, () => Fp.inv(2n ** 231n - 5910n));
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await mark('sqrt', 15000, () => Fp.sqrt(2n ** 231n - 5910n));
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});
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@ -56,6 +56,7 @@ export function invert(number: bigint, modulo: bigint): bigint {
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throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`);
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}
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// Eucledian GCD https://brilliant.org/wiki/extended-euclidean-algorithm/
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// Fermat's little theorem "CT-like" version inv(n) = n^(m-2) mod m is 30x slower.
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let a = mod(number, modulo);
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let b = modulo;
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// prettier-ignore
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