xref: /llvm-project/libc/src/__support/FPUtil/PolyEval.h (revision 5ff3ff33ff930e4ec49da7910612d8a41eb068cb)
1c120edc7SMichael Jones //===-- Common header for PolyEval implementations --------------*- C++ -*-===//
2c120edc7SMichael Jones //
3c120edc7SMichael Jones // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4c120edc7SMichael Jones // See https://llvm.org/LICENSE.txt for license information.
5c120edc7SMichael Jones // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6c120edc7SMichael Jones //
7c120edc7SMichael Jones //===----------------------------------------------------------------------===//
8c120edc7SMichael Jones 
9270547f3SGuillaume Chatelet #ifndef LLVM_LIBC_SRC___SUPPORT_FPUTIL_POLYEVAL_H
10270547f3SGuillaume Chatelet #define LLVM_LIBC_SRC___SUPPORT_FPUTIL_POLYEVAL_H
11c120edc7SMichael Jones 
12c5f8a0a1STue Ly #include "multiply_add.h"
13434bf160STue Ly #include "src/__support/CPP/type_traits.h"
1459c809cdSSiva Chandra Reddy #include "src/__support/common.h"
15*5ff3ff33SPetr Hosek #include "src/__support/macros/config.h"
16c120edc7SMichael Jones 
17c120edc7SMichael Jones // Evaluate polynomial using Horner's Scheme:
18c120edc7SMichael Jones // With polyeval(x, a_0, a_1, ..., a_n) = a_n * x^n + ... + a_1 * x + a_0, we
19c120edc7SMichael Jones // evaluated it as:  a_0 + x * (a_1 + x * ( ... (a_(n-1) + x * a_n) ... ) ) ).
20c5f8a0a1STue Ly // We will use FMA instructions if available.
21c120edc7SMichael Jones // Example: to evaluate x^3 + 2*x^2 + 3*x + 4, call
22c120edc7SMichael Jones //   polyeval( x, 4.0, 3.0, 2.0, 1.0 )
23c120edc7SMichael Jones 
24*5ff3ff33SPetr Hosek namespace LIBC_NAMESPACE_DECL {
25c120edc7SMichael Jones namespace fputil {
26c120edc7SMichael Jones 
276baee7f2STue Ly template <typename T>
286baee7f2STue Ly LIBC_INLINE cpp::enable_if_t<(sizeof(T) > sizeof(void *)), T>
296baee7f2STue Ly polyeval(const T &, const T &a0) {
306baee7f2STue Ly   return a0;
316baee7f2STue Ly }
326baee7f2STue Ly 
336baee7f2STue Ly template <typename T>
346baee7f2STue Ly LIBC_INLINE cpp::enable_if_t<(sizeof(T) <= sizeof(void *)), T> polyeval(T,
356baee7f2STue Ly                                                                         T a0) {
36434bf160STue Ly   return a0;
37434bf160STue Ly }
38c120edc7SMichael Jones 
39c120edc7SMichael Jones template <typename T, typename... Ts>
406baee7f2STue Ly LIBC_INLINE cpp::enable_if_t<(sizeof(T) > sizeof(void *)), T>
416baee7f2STue Ly polyeval(const T &x, const T &a0, const Ts &...a) {
426baee7f2STue Ly   return multiply_add(x, polyeval(x, a...), a0);
436baee7f2STue Ly }
446baee7f2STue Ly 
456baee7f2STue Ly template <typename T, typename... Ts>
466baee7f2STue Ly LIBC_INLINE cpp::enable_if_t<(sizeof(T) <= sizeof(void *)), T>
476baee7f2STue Ly polyeval(T x, T a0, Ts... a) {
48c5f8a0a1STue Ly   return multiply_add(x, polyeval(x, a...), a0);
49c120edc7SMichael Jones }
50c120edc7SMichael Jones 
51c120edc7SMichael Jones } // namespace fputil
52*5ff3ff33SPetr Hosek } // namespace LIBC_NAMESPACE_DECL
53c120edc7SMichael Jones 
54270547f3SGuillaume Chatelet #endif // LLVM_LIBC_SRC___SUPPORT_FPUTIL_POLYEVAL_H
55