18bf80f4bSopenharmony_ci/*
28bf80f4bSopenharmony_ci * Copyright (c) 2024 Huawei Device Co., Ltd.
38bf80f4bSopenharmony_ci * Licensed under the Apache License, Version 2.0 (the "License");
48bf80f4bSopenharmony_ci * you may not use this file except in compliance with the License.
58bf80f4bSopenharmony_ci * You may obtain a copy of the License at
68bf80f4bSopenharmony_ci *
78bf80f4bSopenharmony_ci *     http://www.apache.org/licenses/LICENSE-2.0
88bf80f4bSopenharmony_ci *
98bf80f4bSopenharmony_ci * Unless required by applicable law or agreed to in writing, software
108bf80f4bSopenharmony_ci * distributed under the License is distributed on an "AS IS" BASIS,
118bf80f4bSopenharmony_ci * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
128bf80f4bSopenharmony_ci * See the License for the specific language governing permissions and
138bf80f4bSopenharmony_ci * limitations under the License.
148bf80f4bSopenharmony_ci */
158bf80f4bSopenharmony_ci
168bf80f4bSopenharmony_ci#ifndef API_BASE_MATH_SPLINE_H
178bf80f4bSopenharmony_ci#define API_BASE_MATH_SPLINE_H
188bf80f4bSopenharmony_ci
198bf80f4bSopenharmony_ci#include <base/namespace.h>
208bf80f4bSopenharmony_ci
218bf80f4bSopenharmony_ciBASE_BEGIN_NAMESPACE()
228bf80f4bSopenharmony_cinamespace Math {
238bf80f4bSopenharmony_ci/** @ingroup group_math_spline */
248bf80f4bSopenharmony_ci/** For hermite interpolation */
258bf80f4bSopenharmony_citemplate<typename T>
268bf80f4bSopenharmony_ciinline constexpr T Hermite(T const& v1, T const& t1, T const& v2, T const& t2, float s)
278bf80f4bSopenharmony_ci{
288bf80f4bSopenharmony_ci    const float s2 = s * s;
298bf80f4bSopenharmony_ci    const float s3 = s2 * s;
308bf80f4bSopenharmony_ci    const float s23 = 2.f * s3;
318bf80f4bSopenharmony_ci    const float s32 = 3.f * s2;
328bf80f4bSopenharmony_ci
338bf80f4bSopenharmony_ci    const float f1 = s23 - s32 + 1.f;
348bf80f4bSopenharmony_ci    const float f2 = -s23 + s32;
358bf80f4bSopenharmony_ci    const float f3 = s3 - 2.f * s2 + s;
368bf80f4bSopenharmony_ci    const float f4 = s3 - s2;
378bf80f4bSopenharmony_ci
388bf80f4bSopenharmony_ci    return v1 * f1 + v2 * f2 + t1 * f3 + t2 * f4;
398bf80f4bSopenharmony_ci}
408bf80f4bSopenharmony_ci} // namespace Math
418bf80f4bSopenharmony_ciBASE_END_NAMESPACE()
428bf80f4bSopenharmony_ci
438bf80f4bSopenharmony_ci#endif // API_BASE_MATH_SPLINE_H
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