import { exponent } from "big-float-ts";
import { bitLength } from "big-float-ts";


/**
 * Returns the result of scaling the given array of array of floats by the 
 * *same* power of two such that all floats become integers (bar overflow).
 * 
 * * the result is exact (no round-off can occur, but overflow can)
 * * can be used to scale polynomials (with coefficients given as Shewchuk 
 * expansions)
 * 
 * @param ass an array of an array of double precision floating point numbers
 * 
 * @doc
 */
function scaleFloatssToIntss(ass: number[][]): number[][] {
    let e = -1024;
    for (let i=0; i<ass.length; i++) {
        const c = ass[i];
        for (let j=0; j<c.length; j++) {
            const a = c[j];
            if (a === 0) { continue; }
            const scaleFactor = -exponent(a) + bitLength(a) - 1;
            if (scaleFactor > e) {
                e = scaleFactor;
            }
        }
    }

    return ass.map(as => as.map(a => a*2**e));
}


export { scaleFloatssToIntss }