/** * Copyright (c) 2024 Huawei Technologies Co., Ltd. * This file is a part of the CANN Open Software. * Licensed under CANN Open Software License Agreement Version 1.0 (the "License"). * Please refer to the License for details. You may not use this file except in compliance with the License. * THIS SOFTWARE IS PROVIDED ON AN "AS IS" BASIS, WITHOUT WARRANTIES OF ANY KIND, EITHER EXPRESS OR IMPLIED, * INCLUDING BUT NOT LIMITED TO NON-INFRINGEMENT, MERCHANTABILITY, OR FITNESS FOR A PARTICULAR PURPOSE. * See LICENSE in the root of the software repository for the full text of the License. */ /*! * \file cos.h * \brief Defines a series of interface used to do elementwise math cos calculation. * Formula: cos(x) = (-1)^k*sin(x0 + π/2), sin(x) = xP(x) * The Cos function does not have an elementary function expression, first normalize (x0 + π/2) to [-π/2, π/2] * and then calculating by function approximation. * k=round(x/π + 1/2), x0=x-kπ, x0 belongs to [-π, 0], (x0 + π/2) belongs to [-π/2, π/2] * π=π_0+π_1+π_2+π_3+π_4 achieve final precision compensation. * Final solution: * k = round(x * invpi + 1/2) * x -= k * pi_0 * x -= k * pi_1 * x = x + COS_PI_DOWN * x -= k * pi_2 * x -= k * pi_3 * x -= k * pi_4 * x = x + COS_PI_RESDOWN_ADDS_NEG * P(x) = (((x^2 * R0 + R1) * x^2 + R2) * x^2 + R3) * x^2 + 1.0 * COS_PI_DOWN = 1.57079637050628662109375 * COS_PI_RESDOWN_ADDS_NEG = -0.00000004371139000189375 * R0 = 2.604926501e-6 * R1 = -0.0001980894471 * R2 = 0.008333049340 * R3 = -0.1666665792 */ #ifndef LIB_MATH_COS_H #define LIB_MATH_COS_H #if __CCE_AICORE__ == 200 || __CCE_AICORE__ == 220 #include "kernel_tensor.h" #include "../../impl/math/cos/cos_common_impl.h" namespace AscendC { #pragma begin_pipe(V) /*! * \ingroup Cos * \brief compute Cos elementwisely * \tparam T: half/float * \tparam isReuseSource: whether allows API to modify source data, usually for performance reason, only support * float input data type * \param [out] dstTensor: output LocalTensor * \param [in] srcTensor: input LocalTensor * \param [in] sharedTmpBuffer: extra temporary shared space used for intermediate values among calculation process, * whose required space size should refer to corresponding tiling API, which is defined at cos_tiling.h. * Generally, the more space you allocate, the better performance you will achieve, and the performance * reaches peak when buffer size is maximum(calculated by tiling function). Moreover, it is not guaranteed * that the shared space will be cleared after usage, the data could be anything. * \note src/dst Tensor must be 32B align, and it doesn't allow src/dst/sharedTmpBuffer tensor address overlap. * Input data valid range should be [-65504, 65504] */ template __aicore__ inline void Cos(const LocalTensor& dstTensor, const LocalTensor& srcTensor, const LocalTensor& sharedTmpBuffer) { Cos(dstTensor, srcTensor, sharedTmpBuffer, srcTensor.GetSize()); } /*! * \ingroup Cos * \brief compute Cos elementwisely * \tparam T: half/float * \tparam isReuseSource: whether allows API to modify source data, usually for performance reason * \param [out] dstTensor: output LocalTensor * \param [in] srcTensor: input LocalTensor * \param [in] sharedTmpBuffer: extra temporary shared space used for intermediate values among calculation process, * whose required space size should refer to corresponding tiling API, which is defined at cos_tiling.h. * Generally, the more space you allocate, the better performance you will achieve, and the performance * reaches peak when buffer size is maximum(calculated by tiling function). Moreover, it is not guaranteed * that the shared space will be cleared after usage, the data could be anything. * \param [in] calCount: the number of elements to be processed. * \note src/dst Tensor must be 32B align, and it doesn't allow src/dst/sharedTmpBuffer tensor address overlap. * Input data valid range should be [-65504, 65504] */ template __aicore__ inline void Cos(const LocalTensor& dstTensor, const LocalTensor& srcTensor, const LocalTensor& sharedTmpBuffer, const uint32_t calCount) { CosImpl(dstTensor, srcTensor, sharedTmpBuffer, calCount); } /*! * \ingroup Cos * \brief compute Cos elementwisely * \tparam T: half/float * \tparam isReuseSource: whether allows API to modify source data, usually for performance reason * \param [out] dstTensor: output LocalTensor * \param [in] srcTensor: input LocalTensor * \note src/dst Tensor must be 32B align, and it doesn't allow src/dst/sharedTmpBuffer tensor address overlap. * Input data valid range should be [-65504, 65504] */ template __aicore__ inline void Cos(const LocalTensor& dstTensor, const LocalTensor& srcTensor) { Cos(dstTensor, srcTensor, srcTensor.GetSize()); } /*! * \ingroup Cos * \brief compute Cos elementwisely * \tparam T: half/float * \tparam isReuseSource: whether allows API to modify source data, usually for performance reason * \param [out] dstTensor: output LocalTensor * \param [in] srcTensor: input LocalTensor * \param [in] calCount: the number of elements to be processed. * \note src/dst Tensor must be 32B align, and it doesn't allow src/dst/sharedTmpBuffer tensor address overlap. * Input data valid range should be [-65504, 65504] */ template __aicore__ inline void Cos(const LocalTensor& dstTensor, const LocalTensor& srcTensor, const uint32_t calCount) { CosImpl(dstTensor, srcTensor, calCount); } #pragma end_pipe } // namespace AscendC #endif #endif // LIB_MATH_COS_H