void _elem_poly_sub(elem_ptr res, elem_srcptr poly1, long len1, elem_srcptr poly2, long len2, const ring_t ring) { long i, min; long size = ring->size; if (ring->type == TYPE_FMPZ && 0) { _fmpz_poly_sub(res, poly1, len1, poly2, len2); return; } min = FLINT_MIN(len1, len2); for (i = 0; i < min; i++) elem_sub(INDEX(res, i, size), SRC_INDEX(poly1, i, size), SRC_INDEX(poly2, i, size), ring); if (poly1 != res) for (i = min; i < len1; i++) elem_set(INDEX(res, i, size), SRC_INDEX(poly1, i, size), ring); for (i = min; i < len2; i++) elem_neg(INDEX(res, i, size), SRC_INDEX(poly2, i, size), ring); }
void _fmpz_mod_poly_sub(fmpz *res, const fmpz *poly1, long len1, const fmpz *poly2, long len2, const fmpz_t p) { long i, len = FLINT_MAX(len1, len2); _fmpz_poly_sub(res, poly1, len1, poly2, len2); for (i = 0; i < len; i++) { if (fmpz_sgn(res + i) < 0) fmpz_add(res + i, res + i, p); } }
void fmpz_poly_sub(fmpz_poly_t res, const fmpz_poly_t poly1, const fmpz_poly_t poly2) { slong max = FLINT_MAX(poly1->length, poly2->length); fmpz_poly_fit_length(res, max); _fmpz_poly_sub(res->coeffs, poly1->coeffs, poly1->length, poly2->coeffs, poly2->length); _fmpz_poly_set_length(res, max); _fmpz_poly_normalise(res); /* there may have been cancellation */ }
void _padic_poly_sub(fmpz *rop, slong *val, slong N, const fmpz *op1, slong val1, slong len1, slong N1, const fmpz *op2, slong val2, slong len2, slong N2, const padic_ctx_t ctx) { const slong len = FLINT_MAX(len1, len2); *val = FLINT_MIN(val1, val2); if (val1 == val2) { _fmpz_poly_sub(rop, op1, len1, op2, len2); _padic_poly_canonicalise(rop, val, len, ctx->p); } else { fmpz_t x; fmpz_init(x); if (val1 < val2) /* F := p^g (G - p^{h-g} H) */ { fmpz_pow_ui(x, ctx->p, val2 - val1); if (rop == op1) { _fmpz_vec_zero(rop + len1, len2 - len1); _fmpz_vec_scalar_submul_fmpz(rop, op2, len2, x); } else { _fmpz_vec_scalar_mul_fmpz(rop, op2, len2, x); _fmpz_vec_neg(rop, rop, len2); _fmpz_poly_add(rop, op1, len1, rop, len2); } } else /* F := p^h (p^(g-h) G - H) */ { fmpz_pow_ui(x, ctx->p, val1 - val2); if (rop == op2) { _fmpz_vec_neg(rop, op2, len2); _fmpz_vec_zero(rop + len2, len1 - len2); _fmpz_vec_scalar_addmul_fmpz(rop, op1, len1, x); } else { _fmpz_vec_scalar_mul_fmpz(rop, op1, len1, x); _fmpz_poly_sub(rop, rop, len1, op2, len2); } } fmpz_clear(x); } /* Reduce */ if (N - *val > 0) { fmpz_t pow; int alloc; alloc = _padic_ctx_pow_ui(pow, N - *val, ctx); if (N >= N1 && N >= N2) { slong i; for (i = 0; i < len; i++) if (fmpz_sgn(rop + i) < 0) fmpz_add(rop + i, rop + i, pow); } else { _fmpz_vec_scalar_mod_fmpz(rop, rop, len, pow); } if (alloc) fmpz_clear(pow); } else { _fmpz_vec_zero(rop, len); *val = 0; } }