Marc Mintel
5397309103
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37 lines
1.0 KiB
Plaintext
37 lines
1.0 KiB
Plaintext
import "../types/number.js";
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import { invariant } from "../utils.js";
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export function ApplyUnsignedRoundingMode(x, r1, r2, unsignedRoundingMode) {
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// If x equals r1 or if r1 equals r2 (already at rounding boundary), return r1
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if (x.eq(r1) || r1.eq(r2)) return r1;
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// If x equals r2, return r2
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if (x.eq(r2)) return r2;
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invariant(r1.lessThan(x) && x.lessThan(r2), `x should be between r1 and r2 but x=${x}, r1=${r1}, r2=${r2}`);
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if (unsignedRoundingMode === "zero") {
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return r1;
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}
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if (unsignedRoundingMode === "infinity") {
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return r2;
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}
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const d1 = x.minus(r1);
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const d2 = r2.minus(x);
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if (d1.lessThan(d2)) {
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return r1;
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}
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if (d2.lessThan(d1)) {
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return r2;
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}
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invariant(d1.eq(d2), "d1 should be equal to d2");
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if (unsignedRoundingMode === "half-zero") {
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return r1;
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}
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if (unsignedRoundingMode === "half-infinity") {
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return r2;
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}
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invariant(unsignedRoundingMode === "half-even", "unsignedRoundingMode should be half-even");
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const cardinality = r1.div(r2.minus(r1)).mod(2);
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if (cardinality.isZero()) {
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return r1;
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}
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return r2;
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}
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