/* * Copyright (c) 2020-2021 Arm Limited. * * SPDX-License-Identifier: MIT * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to * deal in the Software without restriction, including without limitation the * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or * sell copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in all * copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. */ #include #include #if defined(__ARM_FEATURE_SVE) #ifndef M_PI #define M_PI (3.14159265358979323846) #endif // M_PI namespace arm_compute { inline svfloat32_t svtaylor_poly_f32_z(svbool_t pg, svfloat32_t x, const std::array &coeffs) { const auto A = svmla_f32_z(pg, coeffs[0], coeffs[4], x); const auto B = svmla_f32_z(pg, coeffs[2], coeffs[6], x); const auto C = svmla_f32_z(pg, coeffs[1], coeffs[5], x); const auto D = svmla_f32_z(pg, coeffs[3], coeffs[7], x); const auto x2 = svmul_f32_z(pg, x, x); const auto x4 = svmul_f32_z(pg, x2, x2); const auto res = svmla_f32_z(pg, svmla_f32_z(pg, A, B, x2), svmla_f32_z(pg, C, D, x2), x4); return res; } inline svfloat16_t svtaylor_poly_f16_z(svbool_t pg, svfloat16_t x, const std::array &coeffs) { const auto A = svmla_f16_z(pg, coeffs[0], coeffs[4], x); const auto B = svmla_f16_z(pg, coeffs[2], coeffs[6], x); const auto C = svmla_f16_z(pg, coeffs[1], coeffs[5], x); const auto D = svmla_f16_z(pg, coeffs[3], coeffs[7], x); const auto x2 = svmul_f16_z(pg, x, x); const auto x4 = svmul_f16_z(pg, x2, x2); const auto res = svmla_f16_z(pg, svmla_f16_z(pg, A, B, x2), svmla_f16_z(pg, C, D, x2), x4); return res; } inline svfloat16_t svinv_f16_z(svbool_t pg, svfloat16_t x) { auto recip = svrecpe_f16(x); recip = svmul_f16_z(pg, svrecps_f16(x, recip), recip); recip = svmul_f16_z(pg, svrecps_f16(x, recip), recip); return recip; } inline svfloat32_t svinv_f32_z(svbool_t pg, svfloat32_t x) { auto recip = svrecpe_f32(x); recip = svmul_f32_z(pg, svrecps_f32(x, recip), recip); recip = svmul_f32_z(pg, svrecps_f32(x, recip), recip); return recip; } inline svfloat32_t svexp_f32_z(svbool_t pg, svfloat32_t x) { const auto CONST_LN2 = svdup_n_f32(0.6931471805f); // ln(2) const auto CONST_INV_LN2 = svdup_n_f32(1.4426950408f); // 1/ln(2) const auto CONST_INF = svdup_n_f32(std::numeric_limits::infinity()); const auto CONST_MAX_INPUT = svdup_n_f32(88.7f); const auto CONST_0 = svdup_n_f32(0.f); const auto CONST_NEGATIVE_126 = svdup_n_s32(-126); /** Exponent polynomial coefficients */ const std::array exp_tab = { { svdup_n_f32(1.f), svdup_n_f32(0.0416598916054f), svdup_n_f32(0.500000596046f), svdup_n_f32(0.0014122662833f), svdup_n_f32(1.00000011921f), svdup_n_f32(0.00833693705499f), svdup_n_f32(0.166665703058f), svdup_n_f32(0.000195780929062f), } }; // Perform range reduction [-log(2),log(2)] auto m = svcvt_s32_f32_z(pg, svmul_f32_z(pg, x, CONST_INV_LN2)); auto val = svmls_f32_z(pg, x, svcvt_f32_s32_z(pg, m), CONST_LN2); // Polynomial Approximation auto poly = svtaylor_poly_f32_z(pg, val, exp_tab); // Reconstruct poly = svreinterpret_f32_s32(svqadd_s32(svreinterpret_s32_f32(poly), svlsl_n_s32_z(pg, m, 23))); // Handle underflow svbool_t ltpg = svcmplt_s32(pg, m, CONST_NEGATIVE_126); poly = svsel_f32(ltpg, CONST_0, poly); // Handle overflow svbool_t gtpg = svcmpgt_f32(pg, x, CONST_MAX_INPUT); poly = svsel_f32(gtpg, CONST_INF, poly); return poly; } inline svfloat16_t svexp_f16_z(svbool_t pg, svfloat16_t x) { auto bottom = svcvt_f32_z(pg, x); #if defined(__ARM_FEATURE_SVE2) auto top = svcvtlt_f32_x(pg, x); auto pg_top = pg; #else /* defined(__ARM_FEATURE_SVE2) */ auto pg_top = svptrue_b16(); auto top = svcvt_f32_z(pg_top, svreinterpret_f16(svrevh_z(svptrue_b16(), svreinterpret_u32(x)))); #endif /* defined(__ARM_FEATURE_SVE2) */ bottom = svexp_f32_z(pg, bottom); top = svexp_f32_z(pg_top, top); #if defined(__ARM_FEATURE_SVE2) return svcvtnt_f16_m(svcvt_f16_z(pg, bottom), pg_top, top); #else /* defined(__ARM_FEATURE_SVE2) */ return svtrn1(svcvt_f16_z(pg, bottom), svcvt_f16_z(pg_top, top)); #endif /* defined(__ARM_FEATURE_SVE2) */ } inline svfloat32_t svtanh_f32_z(svbool_t pg, svfloat32_t val) { const svfloat32_t CONST_1 = svdup_n_f32(1.f); const svfloat32_t CONST_2 = svdup_n_f32(2.f); const svfloat32_t CONST_MIN_TANH = svdup_n_f32(-10.f); const svfloat32_t CONST_MAX_TANH = svdup_n_f32(10.f); svfloat32_t x = svmin_f32_z(pg, svmax_f32_z(pg, val, CONST_MIN_TANH), CONST_MAX_TANH); svfloat32_t exp2x = svexp_f32_z(pg, svmul_f32_z(pg, CONST_2, x)); svfloat32_t num = svsub_f32_z(pg, exp2x, CONST_1); svfloat32_t den = svadd_f32_z(pg, exp2x, CONST_1); svfloat32_t tanh = svdiv_f32_z(pg, num, den); return tanh; } inline svfloat16_t svtanh_f16_z(svbool_t pg, svfloat16_t val) { const svfloat16_t CONST_1 = svdup_n_f16(1.f); const svfloat16_t CONST_2 = svdup_n_f16(2.f); const svfloat16_t CONST_MIN_TANH = svdup_n_f16(-10.f); const svfloat16_t CONST_MAX_TANH = svdup_n_f16(10.f); const svfloat16_t x = svmin_f16_z(pg, svmax_f16_z(pg, val, CONST_MIN_TANH), CONST_MAX_TANH); const svfloat16_t exp2x = svexp_f16_z(pg, svmul_f16_z(pg, CONST_2, x)); const svfloat16_t num = svsub_f16_z(pg, exp2x, CONST_1); const svfloat16_t den = svadd_f16_z(pg, exp2x, CONST_1); const svfloat16_t tanh = svdiv_f16_z(pg, num, den); return tanh; } inline svfloat32_t svlog_f32_z(svbool_t pg, svfloat32_t x) { /** Logarithm polynomial coefficients */ const std::array log_tab = { { svdup_n_f32(-2.29561495781f), svdup_n_f32(-2.47071170807f), svdup_n_f32(-5.68692588806f), svdup_n_f32(-0.165253549814f), svdup_n_f32(5.17591238022f), svdup_n_f32(0.844007015228f), svdup_n_f32(4.58445882797f), svdup_n_f32(0.0141278216615f), } }; const auto CONST_127 = svdup_n_s32(127); // 127 const auto CONST_LN2 = svdup_n_f32(0.6931471805f); // ln(2) // Extract exponent auto m = svsub_s32_z(pg, svasr_n_s32_z(pg, svreinterpret_s32_f32(x), 23), CONST_127); auto val = svreinterpret_f32_s32(svsub_s32_z(pg, svreinterpret_s32_f32(x), svlsl_n_s32_z(pg, m, 23))); // Polynomial Approximation auto poly = svtaylor_poly_f32_z(pg, val, log_tab); // Reconstruct poly = svmla_f32_z(pg, poly, svcvt_f32_s32_z(pg, m), CONST_LN2); return poly; } inline svfloat16_t svlog_f16_z(svbool_t pg, svfloat16_t x) { auto bottom = svcvt_f32_z(pg, x); #if defined(__ARM_FEATURE_SVE2) auto top = svcvtlt_f32_x(pg, x); auto pg_top = pg; #else /* defined(__ARM_FEATURE_SVE2) */ auto pg_top = svptrue_b16(); auto top = svcvt_f32_z(pg_top, svreinterpret_f16(svrevh_z(svptrue_b16(), svreinterpret_u32(x)))); #endif /* defined(__ARM_FEATURE_SVE2) */ bottom = svlog_f32_z(pg, bottom); top = svlog_f32_z(pg_top, top); #if defined(__ARM_FEATURE_SVE2) return svcvtnt_f16_m(svcvt_f16_z(pg, bottom), pg_top, top); #else /* defined(__ARM_FEATURE_SVE2) */ return svtrn1(svcvt_f16_z(pg, bottom), svcvt_f16_z(pg_top, top)); #endif /* defined(__ARM_FEATURE_SVE2) */ } inline svfloat32_t svsin_f32_z(svbool_t pg, svfloat32_t val) { using ScalarType = float; using IntType = uint32_t; constexpr float te_sin_coeff2 = 0.166666666666f; // 1/(2*3) constexpr float te_sin_coeff3 = 0.05f; // 1/(4*5) constexpr float te_sin_coeff4 = 0.023809523810f; // 1/(6*7) constexpr float te_sin_coeff5 = 0.013888888889f; // 1/(8*9) const auto pi_v = wrapper::svdup_n(ScalarType(M_PI)); const auto pio2_v = wrapper::svdup_n(ScalarType(M_PI / 2)); const auto ipi_v = wrapper::svdup_n(ScalarType(1 / M_PI)); //Find positive or negative const auto c_v = svabs_z(pg, wrapper::svcvt_z(pg, svmul_z(pg, val, ipi_v))); const auto sign_v = svcmple(pg, val, wrapper::svdup_n(ScalarType(0))); const auto odd_v = svcmpne(pg, svand_z(pg, wrapper::svreinterpret(c_v), wrapper::svdup_n(IntType(1))), wrapper::svdup_n(IntType(0))); auto neg_v = sveor_z(pg, odd_v, sign_v); //Modulus a - (n * int(a*(1/n))) auto ma = svsub_z(pg, svabs_z(pg, val), svmul_z(pg, pi_v, wrapper::svcvt_z(pg, c_v))); const auto reb_v = svcmpge(pg, ma, pio2_v); //Rebase a between 0 and pi/2 ma = svsel(reb_v, svsub_z(pg, pi_v, ma), ma); //Taylor series const auto ma2 = svmul_z(pg, ma, ma); //2nd elem: x^3 / 3! auto elem = svmul_z(pg, svmul_z(pg, ma, ma2), wrapper::svdup_n(ScalarType(te_sin_coeff2))); auto res = svsub_z(pg, ma, elem); //3rd elem: x^5 / 5! elem = svmul_z(pg, svmul_z(pg, elem, ma2), wrapper::svdup_n(ScalarType(te_sin_coeff3))); res = svadd_z(pg, res, elem); //4th elem: x^7 / 7!float32x2_t vsin_f32(float32x2_t val) elem = svmul_z(pg, svmul_z(pg, elem, ma2), wrapper::svdup_n(ScalarType(te_sin_coeff4))); res = svsub_z(pg, res, elem); //5th elem: x^9 / 9! elem = svmul_z(pg, svmul_z(pg, elem, ma2), wrapper::svdup_n(ScalarType(te_sin_coeff5))); res = svadd_z(pg, res, elem); //Change of sign res = svneg_m(res, neg_v, res); return res; } inline svfloat16_t svsin_f16_z(svbool_t pg, svfloat16_t val) { auto bottom = svcvt_f32_z(pg, val); #if defined(__ARM_FEATURE_SVE2) auto top = svcvtlt_f32_x(pg, val); auto pg_top = pg; #else /* defined(__ARM_FEATURE_SVE2) */ auto pg_top = svptrue_b16(); auto top = svcvt_f32_z(pg_top, svreinterpret_f16(svrevh_z(svptrue_b16(), svreinterpret_u32(val)))); #endif /* defined(__ARM_FEATURE_SVE2) */ bottom = svsin_f32_z(pg, bottom); top = svsin_f32_z(pg_top, top); #if defined(__ARM_FEATURE_SVE2) return svcvtnt_f16_m(svcvt_f16_z(pg, bottom), pg_top, top); #else /* defined(__ARM_FEATURE_SVE2) */ return svtrn1(svcvt_f16_z(pg, bottom), svcvt_f16_z(pg_top, top)); #endif /* defined(__ARM_FEATURE_SVE2) */ } inline svfloat32_t svpow_f32_z(svbool_t pg, svfloat32_t a, svfloat32_t b) { return svexp_f32_z(pg, svmul_z(pg, b, svlog_f32_z(pg, a))); } inline svfloat16_t svpow_f16_z(svbool_t pg, svfloat16_t a, svfloat16_t b) { auto a_bottom = svcvt_f32_z(pg, a); auto b_bottom = svcvt_f32_z(pg, b); #if defined(__ARM_FEATURE_SVE2) auto pg_top = pg; auto a_top = svcvtlt_f32_x(pg, a); auto b_top = svcvtlt_f32_x(pg, b); #else /* defined(__ARM_FEATURE_SVE2) */ auto pg_top = svptrue_b16(); auto a_top = svcvt_f32_z(pg_top, svreinterpret_f16(svrevh_z(svptrue_b16(), svreinterpret_u32(a)))); auto b_top = svcvt_f32_z(pg_top, svreinterpret_f16(svrevh_z(svptrue_b16(), svreinterpret_u32(b)))); #endif /* defined(__ARM_FEATURE_SVE2) */ auto res_bottom = svpow_f32_z(pg, a_bottom, b_bottom); auto res_top = svpow_f32_z(pg_top, a_top, b_top); #if defined(__ARM_FEATURE_SVE2) return svcvtnt_f16_m(svcvt_f16_z(pg, res_bottom), pg_top, res_top); #else /* defined(__ARM_FEATURE_SVE2) */ return svtrn1(svcvt_f16_z(pg, res_bottom), svcvt_f16_z(pg_top, res_top)); #endif /* defined(__ARM_FEATURE_SVE2) */ } #if defined(__ARM_FEATURE_SVE2) template <> inline svuint8_t convert_float_to_int(const svfloat32_t &in_0, const svfloat32_t &in_1, const svfloat32_t &in_2, const svfloat32_t &in_3) { svuint8_t out; const auto all_true_pg = svptrue_b32(); auto tmp_0 = svcvt_u32_f32_z(all_true_pg, in_0); auto tmp_1 = svcvt_u32_f32_z(all_true_pg, in_1); auto tmp_2 = svcvt_u32_f32_z(all_true_pg, in_2); auto tmp_3 = svcvt_u32_f32_z(all_true_pg, in_3); auto tmp_16_0 = svqxtnt_u32(svqxtnb_u32(tmp_0), tmp_1); auto tmp_16_1 = svqxtnt_u32(svqxtnb_u32(tmp_2), tmp_3); auto tmp_16_uzp_0 = svuzp1(tmp_16_0, tmp_16_0); auto tmp_16_uzp_1 = svuzp2(tmp_16_0, tmp_16_0); auto tmp_16_uzp_2 = svuzp1(tmp_16_1, tmp_16_1); auto tmp_16_uzp_3 = svuzp2(tmp_16_1, tmp_16_1); auto pg = svwhilelt_b16_s32(0, svcnth() / 2); tmp_16_0 = svsplice(pg, tmp_16_uzp_0, tmp_16_uzp_1); tmp_16_1 = svsplice(pg, tmp_16_uzp_2, tmp_16_uzp_3); out = svqxtnt_u16(svqxtnb_u16(tmp_16_0), tmp_16_1); auto out_uzp_0 = svuzp1(out, out); auto out_uzp_1 = svuzp2(out, out); pg = svwhilelt_b8_s32(0, svcntb() / 2); out = svsplice(pg, out_uzp_0, out_uzp_1); return out; } template <> inline svint8_t convert_float_to_int(const svfloat32_t &in_0, const svfloat32_t &in_1, const svfloat32_t &in_2, const svfloat32_t &in_3) { svint8_t out; const auto all_true_pg = svptrue_b32(); auto tmp_0 = svcvt_s32_f32_z(all_true_pg, in_0); auto tmp_1 = svcvt_s32_f32_z(all_true_pg, in_1); auto tmp_2 = svcvt_s32_f32_z(all_true_pg, in_2); auto tmp_3 = svcvt_s32_f32_z(all_true_pg, in_3); auto tmp_16_0 = svqxtnt_s32(svqxtnb_s32(tmp_0), tmp_1); auto tmp_16_1 = svqxtnt_s32(svqxtnb_s32(tmp_2), tmp_3); auto tmp_16_uzp_0 = svuzp1(tmp_16_0, tmp_16_0); auto tmp_16_uzp_1 = svuzp2(tmp_16_0, tmp_16_0); auto tmp_16_uzp_2 = svuzp1(tmp_16_1, tmp_16_1); auto tmp_16_uzp_3 = svuzp2(tmp_16_1, tmp_16_1); auto pg = svwhilelt_b16_s32(0, svcnth() / 2); tmp_16_0 = svsplice(pg, tmp_16_uzp_0, tmp_16_uzp_1); tmp_16_1 = svsplice(pg, tmp_16_uzp_2, tmp_16_uzp_3); out = svqxtnt_s16(svqxtnb_s16(tmp_16_0), tmp_16_1); auto out_uzp_0 = svuzp1(out, out); auto out_uzp_1 = svuzp2(out, out); pg = svwhilelt_b8_s32(0, svcntb() / 2); out = svsplice(pg, out_uzp_0, out_uzp_1); return out; } #endif /* defined(__ARM_FEATURE_SVE2) */ } // namespace arm_compute #endif /* defined(__ARM_FEATURE_SVE) */