static void fp4_mul_unr(dv2_t e, dv2_t f, fp2_t a, fp2_t b, fp2_t c, fp2_t d) {
fp2_t t0, t1;
dv2_t u0, u1;
fp2_null(t0);
fp2_null(t1);
dv2_null(u0);
dv2_null(u1);
TRY {
fp2_new(t0);
fp2_new(t1);
dv2_new(u0);
dv2_new(u1);
#ifdef FP_SPACE
fp2_mulc_low(u0, a, c);
fp2_mulc_low(u1, b, d);
fp2_addn_low(t0, c, d);
fp2_addn_low(t1, a, b);
#else
fp2_muln_low(u0, a, c);
fp2_muln_low(u1, b, d);
fp2_addm_low(t0, c, d);
fp2_addm_low(t1, a, b);
#endif
fp2_muln_low(f, t1, t0);
fp2_subc_low(f, f, u0);
fp2_subc_low(f, f, u1);
fp2_norh_low(e, u1);
fp2_addc_low(e, e, u0);
} CATCH_ANY {
THROW(ERR_CAUGHT);
} FINALLY {
fp2_free(t0);
dv2_free(t1);
dv2_free(u0);
dv2_free(u1);
}
}
static void fp4_sqr_unr(dv2_t c, dv2_t d, fp2_t a, fp2_t b) {
fp2_t t;
dv2_t u0, u1;
fp2_null(t);
dv2_null(u0);
dv2_null(u1);
TRY {
fp2_new(t);
dv2_new(u0);
dv2_new(u1);
/* t0 = a^2. */
fp2_sqrn_low(u0, a);
/* t1 = b^2. */
fp2_sqrn_low(u1, b);
fp2_addm_low(t, a, b);
/* c = a^2 + b^2 * E. */
fp2_norh_low(c, u1);
fp2_addc_low(c, c, u0);
/* d = (a + b)^2 - a^2 - b^2 = 2 * a * b. */
fp2_addc_low(u1, u1, u0);
fp2_sqrn_low(d, t);
fp2_subc_low(d, d, u1);
} CATCH_ANY {
THROW(ERR_CAUGHT);
} FINALLY {
fp2_free(t);
dv2_free(u0);
dv2_free(u1);
}
}
inline static void fp6_mul_dxs_unr_lazyr(dv6_t c, fp6_t a, fp6_t b) {
dv2_t u0, u1, u2, u3;
fp2_t t0, t1;
dv2_null(u0);
dv2_null(u1);
dv2_null(u2);
dv2_null(u3);
fp2_null(t0);
fp2_null(t1);
TRY {
dv2_new(u0);
dv2_new(u1);
dv2_new(u2);
dv2_new(u3);
fp2_new(t0);
fp2_new(t1);
#ifdef RLC_FP_ROOM
fp2_mulc_low(u0, a[0], b[0]);
fp2_mulc_low(u1, a[1], b[1]);
fp2_addn_low(t0, a[0], a[1]);
fp2_addn_low(t1, b[0], b[1]);
/* c_1 = (a_0 + a_1)(b_0 + b_1) - a_0b_0 - a_1b_1 */
fp2_muln_low(u2, t0, t1);
fp2_subc_low(u2, u2, u0);
fp2_subc_low(c[1], u2, u1);
/* c_0 = a_0b_0 + E a_2b_1 */
fp2_mulc_low(u2, a[2], b[1]);
fp2_norh_low(c[0], u2);
fp2_addc_low(c[0], u0, c[0]);
/* c_2 = a_0b_2 + a_1b_1 */
fp2_mulc_low(u2, a[2], b[0]);
fp2_addc_low(c[2], u1, u2);
#else
fp2_muln_low(u0, a[0], b[0]);
fp2_muln_low(u1, a[1], b[1]);
fp2_addm_low(t0, a[0], a[1]);
fp2_addm_low(t1, b[0], b[1]);
/* c_1 = (a_0 + a_1)(b_0 + b_1) - a_0b_0 - a_1b_1 */
fp2_muln_low(u2, t0, t1);
fp2_subc_low(u2, u2, u0);
fp2_subc_low(c[1], u2, u1);
/* c_0 = a_0b_0 + E a_2b_1 */
fp2_muln_low(u2, a[2], b[1]);
fp2_nord_low(c[0], u2);
fp2_addc_low(c[0], u0, c[0]);
/* c_2 = a_0b_2 + a_1b_1 */
fp2_muln_low(u2, a[2], b[0]);
fp2_addc_low(c[2], u1, u2);
#endif
#ifdef RLC_FP_ROOM
#else
#endif
} CATCH_ANY {
THROW(ERR_CAUGHT);
} FINALLY {
dv2_free(u0);
dv2_free(u1);
dv2_free(u2);
dv2_free(u3);
fp2_free(t0);
fp2_free(t1);
}
}
void fp12_sqr_pck_lazyr(fp12_t c, fp12_t a) {
fp2_t t0, t1;
dv2_t u0, u1, u2, u3, u4;
fp2_null(t0);
fp2_null(t1);
dv2_null(u0);
dv2_null(u1);
dv2_null(u2);
dv2_null(u3);
dv2_null(u4);
TRY {
fp2_new(t0);
fp2_new(t1);
dv2_new(u0);
dv2_new(u1);
dv2_new(u2);
dv2_new(u3);
dv2_new(u4);
fp2_sqrn_low(u0, a[0][1]);
fp2_sqrn_low(u1, a[1][2]);
fp2_norh_low(u4, u1);
fp2_addm_low(t0, a[0][1], a[1][2]);
fp2_sqrn_low(u2, t0);
fp2_addd_low(u3, u0, u1);
fp2_subc_low(u3, u2, u3);
fp2_rdcn_low(t0, u3);
fp2_sqrn_low(u2, a[1][0]);
fp2_addm_low(t1, a[1][0], a[0][2]);
fp2_sqrn_low(u3, t1);
fp2_norm_low(t1, t0);
fp2_addm_low(t0, t1, a[1][0]);
fp2_dblm_low(t0, t0);
fp2_addm_low(c[1][0], t0, t1);
fp2_sqrn_low(u1, a[0][2]);
fp2_addc_low(u4, u0, u4);
fp2_rdcn_low(t0, u4);
fp2_subm_low(t1, t0, a[0][2]);
fp2_dblm_low(t1, t1);
fp2_norh_low(u4, u1);
fp2_addm_low(c[0][2], t1, t0);
fp2_addc_low(u4, u2, u4);
fp2_rdcn_low(t0, u4);
fp2_subm_low(t1, t0, a[0][1]);
fp2_dblm_low(t1, t1);
fp2_addd_low(u0, u1, u2);
fp2_addm_low(c[0][1], t1, t0);
fp2_subc_low(u3, u3, u0);
fp2_rdcn_low(t0, u3);
fp2_addm_low(t1, t0, a[1][2]);
fp2_dblm_low(t1, t1);
fp2_addm_low(c[1][2], t1, t0);
} CATCH_ANY {
THROW(ERR_CAUGHT);
} FINALLY {
fp2_free(t0);
fp2_free(t1);
dv2_free(u0);
dv2_free(u1);
dv2_free(u2);
dv2_free(u3);
dv2_free(u4);
}
}
