WindowsXPKg/util.cpp

//
// Created by Andrew on 01/06/2023.
//

#include "header.h"

/* Convert data between endianness types. */
void endian(byte *data, int length) {
    for (int i = 0; i < length / 2; i++) {
        byte temp = data[i];
        data[i] = data[length - i - 1];
        data[length - i - 1] = temp;
    }
}

/* Initializes the elliptic curve. */
EC_GROUP *initializeEllipticCurve(
        const char *pSel,
        const char *aSel,
        const char *bSel,
        const char *generatorXSel,
        const char *generatorYSel,
        const char *publicKeyXSel,
        const char *publicKeyYSel,
        EC_POINT **genPoint,
        EC_POINT **pubPoint
) {
    // Initialize BIGNUM and BIGNUMCTX structures.
    // BIGNUM - Large numbers
    // BIGNUMCTX - Context large numbers (temporary)
    BIGNUM *a, *b, *p, *generatorX, *generatorY, *publicKeyX, *publicKeyY;
    BN_CTX *context;

    // We're presented with an elliptic curve, a multivariable function y(x; p; a; b), where
    // y^2 % p = x^3 + ax + b % p.
    a = BN_new();
    b = BN_new();
    p = BN_new();

    // Public key will consist of the resulting (x; y) values.
    publicKeyX = BN_new();
    publicKeyY = BN_new();

    // G(x; y) is a generator function, its return value represents a point on the elliptic curve.
    generatorX = BN_new();
    generatorY = BN_new();

    // Context variable
    context = BN_CTX_new();

    /* Public data */
    BN_dec2bn(&p, pSel);
    BN_dec2bn(&a, aSel);
    BN_dec2bn(&b, bSel);
    BN_dec2bn(&generatorX, generatorXSel);
    BN_dec2bn(&generatorY, generatorYSel);

    BN_dec2bn(&publicKeyX, publicKeyXSel);
    BN_dec2bn(&publicKeyY, publicKeyYSel);

    /* Elliptic Curve calculations. */
    // The group is defined via Fp = all integers [0; p - 1], where p is prime.
    // The function EC_POINT_set_affine_coordinates() sets the x and y coordinates for the point p defined over the curve given in group.
    EC_GROUP *eCurve = EC_GROUP_new_curve_GFp(p, a, b, context);

    // Create new point for the generator on the elliptic curve and set its coordinates to (genX; genY).
    *genPoint = EC_POINT_new(eCurve);
    EC_POINT_set_affine_coordinates(eCurve, *genPoint, generatorX, generatorY, context);

    // Create new point for the public key on the elliptic curve and set its coordinates to (pubX; pubY).
    *pubPoint = EC_POINT_new(eCurve);
    EC_POINT_set_affine_coordinates(eCurve, *pubPoint, publicKeyX, publicKeyY, context);

    // If generator and public key points are not on the elliptic curve, either the generator or the public key values are incorrect.
    assert(EC_POINT_is_on_curve(eCurve, *genPoint, context) == 1);
    assert(EC_POINT_is_on_curve(eCurve, *pubPoint, context) == 1);

    // Cleanup
    BN_CTX_free(context);

    return eCurve;
}