bigfloat-esnext/lib/esm/arithmetic.js

A library for arbitrary precision floating point arithmetic.

import { BIGINT_ONE, BIGINT_TEN, EPSILON, ONE, PRECISION, TWO, ZERO } from "./constants.js";
import { integer, make_big_float, number } from "./constructors.js";
import { is_integer, is_negative, is_zero } from "./predicates.js";
import { eq, gt, lt } from "./relational.js";
export function neg(a) {
    return make_big_float(-a.coefficient, a.exponent);
}
export function abs(a) {
    return is_negative(a) ? neg(a) : a;
}
function conform_op(op) {
    return function (a, b) {
        const differential = a.exponent - b.exponent;
        return differential === 0
            ? make_big_float(op(a.coefficient, b.coefficient), a.exponent)
            : differential > 0
                ? make_big_float(op(a.coefficient * BIGINT_TEN ** BigInt(differential), b.coefficient), b.exponent)
                : make_big_float(op(a.coefficient, b.coefficient * BIGINT_TEN ** BigInt(-differential)), a.exponent);
    };
}
export const add = conform_op((a, b) => a + b);
export const sub = conform_op((a, b) => a - b);
export function mul(multiplicand, multiplier) {
    return make_big_float(multiplicand.coefficient * multiplier.coefficient, multiplicand.exponent + multiplier.exponent);
}
export function div(dividend, divisor, precision = PRECISION) {
    if (is_zero(dividend) || is_zero(divisor)) {
        return ZERO;
    }
    let { coefficient, exponent } = dividend;
    exponent -= divisor.exponent;
    if (typeof precision !== "number") {
        precision = number(precision);
    }
    if (exponent > precision) {
        coefficient = coefficient * BIGINT_TEN ** BigInt(exponent - precision);
        exponent = precision;
    }
    coefficient = coefficient / divisor.coefficient;
    return make_big_float(coefficient, exponent);
}
export function sqrt(n) {
    let x = n;
    let y = ONE;
    while (gt(sub(x, y), EPSILON)) {
        x = div(add(x, y), TWO);
        y = div(n, x);
    }
    return x;
}
export function exponentiation(base, exp) {
    if (eq(exp, ZERO)) {
        return ONE;
    }
    if (is_negative(exp)) {
        return div(ONE, exponentiation(base, abs(exp)));
    }
    if (exp.exponent === 0) {
        let result = base;
        let n = 1;
        while (n !== number(exp)) {
            result = mul(result, base);
            n += 1;
        }
        return result;
    }
    if (gt(exp, ONE) || eq(exp, ONE)) {
        const temp = exponentiation(base, div(exp, TWO));
        return mul(temp, temp);
    }
    let low = ZERO;
    let high = ONE;
    let sqr = sqrt(base);
    let acc = sqr;
    let mid = div(high, TWO);
    while (gt(abs(sub(mid, exp)), EPSILON)) {
        sqr = sqrt(sqr);
        if (lt(mid, exp) || eq(mid, exp)) {
            low = mid;
            acc = mul(acc, sqr);
        }
        else {
            high = mid;
            acc = mul(acc, div(ONE, sqr));
        }
        mid = div(add(low, high), TWO);
    }
    return acc;
}
export function ceil(n) {
    if (is_integer(n)) {
        return n;
    }
    else {
        return make_big_float(integer(n).coefficient + BIGINT_ONE, 0);
    }
}
export function floor(n) {
    return integer(n);
}