void bn254_fp2_inv(Element z, const Element x) { Element* t = field(z)->base->tmp; if (strcmp(x->field->field_name, "bn254_fp2a") == 0) { bn254_fp_muln(t[1], rep1(x), rep1(x)); // t1 = a1^2 bn254_fp_addn(t[0], t[1], t[1]); bn254_fp_addn(t[0], t[0], t[0]); bn254_fp_addn(t[1], t[1], t[0]); // t1 = 5*a1^2 bn254_fp_muln(t[0], rep0(x), rep0(x));// t0 = a0^2 bn254_fp_addn(t[0], t[0], t[1]); // t0 = t0 - t1 bn254_fp_inv(t[1], t[0]); // t1 = t0^-1 bn254_fp_mul(rep0(z), rep0(x), t[1]); // c0 = a0*t1 bn254_fp_mul(rep1(z), rep1(x), t[1]); // c1 = a1*t1 bn254_fp_neg(rep1(z), rep1(z)); // c1 = -1*a1*t1 } if (strcmp(x->field->field_name, "bn254_fp2b") == 0) { bn254_fp_muln(t[1], rep1(x), rep1(x));// t1 = a1^2 bn254_fp_muln(t[0], rep0(x), rep0(x));// t0 = a0^2 bn254_fp_addn(t[0], t[0], t[1]); // t0 = t0 + t1 ( beta = -1 ) bn254_fp_inv(t[1], t[0]); // t1 = t0^-1 bn254_fp_mul(rep0(z), rep0(x), t[1]); // c0 = a0*t1 bn254_fp_mul(rep1(z), rep1(x), t[1]); // c1 = a1*t1 bn254_fp_neg(rep1(z), rep1(z)); // c1 = -1*a1*t1 } }
void bn254_fp2_xi_mul(Element z, const Element x) { Element* t = field(z)->base->tmp; bn254_fp_add(t[0], rep1(x), rep1(x)); bn254_fp_add(t[0], t[0], t[0]); bn254_fp_add(t[0], t[0], rep1(x)); bn254_fp_set(rep1(z), rep0(x)); bn254_fp_neg(rep0(z), t[0]); }
void bn254_fp2_inv(Element z, const Element x) { Element* t = field(z)->base->tmp; bn254_fp_muln(t[1], rep1(x), rep1(x)); // t1 = a1^2 bn254_fp_addn(t[0], t[1], t[1]); bn254_fp_addn(t[0], t[0], t[0]); bn254_fp_addn(t[1], t[1], t[0]); // t1 = 5*a1^2 bn254_fp_muln(t[0], rep0(x), rep0(x));// t0 = a0^2 bn254_fp_addn(t[0], t[0], t[1]); // t0 = t0 - t1 bn254_fp_inv(t[1], t[0]); // t1 = t0^-1 bn254_fp_mul(rep0(z), rep0(x), t[1]); // c0 = a0*t1 bn254_fp_mul(rep1(z), rep1(x), t[1]); // c1 = a1*t1 bn254_fp_neg(rep1(z), rep1(z)); // c1 = -1*a1*t1 }
void bn254_fp2_xi_mul(Element z, const Element x) { Element* t = field(z)->base->tmp; if (strcmp(x->field->field_name, "bn254_fp2a") == 0) { bn254_fp_add(t[0], rep1(x), rep1(x)); bn254_fp_add(t[0], t[0], t[0]); bn254_fp_add(t[0], t[0], rep1(x)); bn254_fp_set(rep1(z), rep0(x)); bn254_fp_neg(rep0(z), t[0]); } if (strcmp(x->field->field_name, "bn254_fp2b") == 0) { bn254_fp_sub(t[0], rep0(x), rep1(x)); bn254_fp_add(t[1], rep0(x), rep1(x)); bn254_fp_set(rep0(z), t[0]); bn254_fp_set(rep1(z), t[1]); } }
void bn254_fp2_conj(Element z, const Element x) { bn254_fp_set(rep0(z), rep0(x)); bn254_fp_neg(rep1(z), rep1(x)); }