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function add(a, b) { | |
const c = new Array(Math.max(a.length, b.length)); | |
const min = Math.min(a.length, b.length); | |
for (let i = 0; i < min; i += 1) { | |
c[i] = a[i] + b[i]; | |
} | |
for (let i = min; i < a.length; i += 1) { | |
c[i] = a[i]; | |
} | |
for (let i = min; i < b.length; i += 1) { | |
c[i] = b[i]; | |
} | |
return c; | |
} | |
function reversalN(A, n) { | |
return new Array(n - A.length).fill(0n).concat(A.slice(0).reverse()); | |
} | |
LaurentSeries.prototype.multiplyMod1 = function (polynomial, precision, p) { | |
const e = this.lowestDegree; | |
const a = this.coefficients; | |
const b = polynomial; | |
if (degree(b) > degree(a)) { | |
throw new RangeError(); | |
} | |
if (degree(b) < 0) { | |
return b; | |
} | |
// x**(e + k) >= x**-precision | |
const k = 0 - precision - e; | |
if (k < degree(b)) { | |
throw new RangeError('inacurracy'); | |
} | |
const a1 = reversalN(low(reversalN(a, degree(a) + 1), degree(a) + 1 - k), degree(a) + 1 - k); | |
const a0 = low(a, Math.max(k, 0)); | |
const m1 = multiplyLow(low(a1, precision), low(b, precision), precision); | |
const m2 = low(reversalN(multiplyLow( | |
low(reversalN(a0, Math.max(k, degree(a0) + 1)), degree(b)), | |
low(reversalN(b, degree(b) + 1), degree(b)), | |
degree(b)), degree(b)), precision); | |
let m = add(m1, m2); | |
m = mod(m, p); | |
return new LaurentSeries(m, 0 - precision); | |
}; |
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