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Diffstat (limited to 'libs/ARMComputeEx/src/core/CL/cl_kernels/fixed_point.h')
| -rw-r--r-- | libs/ARMComputeEx/src/core/CL/cl_kernels/fixed_point.h | 565 |
1 files changed, 565 insertions, 0 deletions
diff --git a/libs/ARMComputeEx/src/core/CL/cl_kernels/fixed_point.h b/libs/ARMComputeEx/src/core/CL/cl_kernels/fixed_point.h new file mode 100644 index 000000000..7807533e2 --- /dev/null +++ b/libs/ARMComputeEx/src/core/CL/cl_kernels/fixed_point.h @@ -0,0 +1,565 @@ +/* + * Copyright (c) 2018 Samsung Electronics Co., Ltd. All Rights Reserved + * Copyright (c) 2017-2018 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. + */ +#ifndef ARM_COMPUTE_FIXED_POINT_H +#define ARM_COMPUTE_FIXED_POINT_H + +#define TYPE_ALIAS(type, alias) \ + typedef type alias; \ + typedef type alias##x##1; \ + typedef type##2 alias##x##2; \ + typedef type##3 alias##x##3; \ + typedef type##4 alias##x##4; \ + typedef type##8 alias##x##8; \ + typedef type##16 alias##x##16; + +TYPE_ALIAS(char, qs8) +TYPE_ALIAS(short, qs16) +TYPE_ALIAS(int, qs32) + +#define qs8_MIN ((char)CHAR_MIN) +#define qs8_MAX ((char)CHAR_MAX) +#define qs16_MIN ((short)SHRT_MIN) +#define qs16_MAX ((short)SHRT_MAX) +#define qs32_MIN ((int)INT_MIN) +#define qs32_MAX ((int)INT_MAX) + +#define qu8_MIN ((uchar)0) +#define qu8_MAX ((uchar)UCHAR_MAX) +#define qu16_MIN ((ushort)0) +#define qu16_MAX ((ushort)USHRT_MAX) +#define qu32_MIN ((uint)0) +#define qu32_MAX ((uint)UINT_MAX) + +#define qs8_TYPE char +#define qs8x1_TYPE char +#define qs8x2_TYPE char2 +#define qs8x3_TYPE char3 +#define qs8x4_TYPE char4 +#define qs8x8_TYPE char8 +#define qs8x16_TYPE char16 + +#define qs16_TYPE short +#define qs16x1_TYPE short +#define qs16x2_TYPE short2 +#define qs16x3_TYPE short3 +#define qs16x4_TYPE short4 +#define qs16x8_TYPE short8 +#define qs16x16_TYPE short16 + +#define qs32_TYPE int +#define qs32x1_TYPE int +#define qs32x2_TYPE int2 +#define qs32x3_TYPE int3 +#define qs32x4_TYPE int4 +#define qs32x8_TYPE int8 +#define qs32x16_TYPE int16 + +/* All internal constants are represented in the maximum supported fixed point format (QS16), + * thus we define an additional shift parameter required to convert the constant + * from the maximum supported format to the require one. + */ +#define qs8_SHIFT 8 +#define qs16_SHIFT 0 + +#undef VEC_DATA_TYPE_STR +#undef VEC_DATA_TYPE +#undef CONVERT_STR +#undef CONVERT +#undef CONVERT_SAT_STR +#undef CONVERT_SAT + +#define VEC_DATA_TYPE_STR(type, size) type##x##size +#define VEC_DATA_TYPE(type, size) VEC_DATA_TYPE_STR(type, size) + +#define CONVERT_STR3(x, type, rtype) (convert_##rtype((x))) +#define CONVERT_STR2(x, type, rtype) CONVERT_STR3(x, type, rtype) +#define CONVERT_STR(x, type) CONVERT_STR2(x, type, type##_TYPE) +#define CONVERT(x, type) CONVERT_STR(x, type) + +#define CONVERT_SAT_STR3(x, type, rtype) (convert_##rtype##_sat((x))) +#define CONVERT_SAT_STR2(x, type, rtype) CONVERT_SAT_STR3(x, type, rtype) +#define CONVERT_SAT_STR(x, type) CONVERT_SAT_STR2(x, type, type##_TYPE) +#define CONVERT_SAT(x, type) CONVERT_SAT_STR(x, type) + +/** Computes saturating absolute value of fixed point vector. + * + * @param[in] type the actual data type. + * + * @return The result of the fixed point absolute value. + */ +#define ABSQ_SAT_IMPL(type) \ + inline type abs_##type##_sat(type VopA) { return CONVERT_SAT(abs(VopA), type); } + +ABSQ_SAT_IMPL(qs8x16) +ABSQ_SAT_IMPL(qs16x8) + +#define ABS_SAT_OP_EXPAND_STR(a, type, size) abs_##type##x##size##_sat((a)) +#define ABS_SAT_OP_EXPAND(a, type, size) ABS_SAT_OP_EXPAND_STR(a, type, size) + +/** Computes max of fixed point types. + * + * @param[in] type the actual data type. + * + * @return The result of the fixed point maximum. + */ +#define MAXQ_IMPL(type) \ + inline type max_##type(type VopA, type VopB) { return max(VopA, VopB); } + +MAXQ_IMPL(qs8x1) +MAXQ_IMPL(qs8x2) +MAXQ_IMPL(qs8x4) +MAXQ_IMPL(qs8x8) +MAXQ_IMPL(qs8x16) +MAXQ_IMPL(qs16x1) +MAXQ_IMPL(qs16x2) +MAXQ_IMPL(qs16x4) +MAXQ_IMPL(qs16x8) +MAXQ_IMPL(qs16x16) + +#define MAX_OP_EXPAND_STR(a, b, type, size) max_##type##x##size((a), (b)) +#define MAX_OP_EXPAND(a, b, type, size) MAX_OP_EXPAND_STR(a, b, type, size) + +/** Computes saturated addition of fixed point types. + * + * @param[in] type the actual data type. + * + * @return The result of the fixed point addition. The result is saturated in case of overflow + */ +#define ADDQ_SAT_IMPL(type) \ + inline type add_sat_##type(type VopA, type VopB) { return add_sat(VopA, VopB); } + +ADDQ_SAT_IMPL(qs8x1) +ADDQ_SAT_IMPL(qs8x2) +ADDQ_SAT_IMPL(qs8x4) +ADDQ_SAT_IMPL(qs8x8) +ADDQ_SAT_IMPL(qs8x16) +ADDQ_SAT_IMPL(qs16x1) +ADDQ_SAT_IMPL(qs16x2) +ADDQ_SAT_IMPL(qs16x4) +ADDQ_SAT_IMPL(qs16x8) +ADDQ_SAT_IMPL(qs16x16) +ADDQ_SAT_IMPL(qs32x1) +ADDQ_SAT_IMPL(qs32x2) +ADDQ_SAT_IMPL(qs32x4) +ADDQ_SAT_IMPL(qs32x8) +ADDQ_SAT_IMPL(qs32x16) + +#define ADD_SAT_OP_EXPAND_STR(a, b, type, size) add_sat_##type##x##size((a), (b)) +#define ADD_SAT_OP_EXPAND(a, b, type, size) ADD_SAT_OP_EXPAND_STR(a, b, type, size) + +/** Computes saturated subtraction of fixed point types. + * + * @param[in] type the actual data type. + * + * @return The result of the fixed point subtraction. The result is saturated in case of overflow + */ +#define SUBQ_SAT_IMPL(type) \ + inline type sub_sat_##type(type VopA, type VopB) { return sub_sat(VopA, VopB); } + +SUBQ_SAT_IMPL(qs8x1) +SUBQ_SAT_IMPL(qs8x2) +SUBQ_SAT_IMPL(qs8x4) +SUBQ_SAT_IMPL(qs8x8) +SUBQ_SAT_IMPL(qs8x16) +SUBQ_SAT_IMPL(qs16x1) +SUBQ_SAT_IMPL(qs16x2) +SUBQ_SAT_IMPL(qs16x4) +SUBQ_SAT_IMPL(qs16x8) +SUBQ_SAT_IMPL(qs16x16) + +#define SUB_SAT_OP_EXPAND_STR(a, b, type, size) sub_sat_##type##x##size((a), (b)) +#define SUB_SAT_OP_EXPAND(a, b, type, size) SUB_SAT_OP_EXPAND_STR(a, b, type, size) + +/* Multiply of two fixed point numbers + * + * @param[in] type the actual data type. + * @param[in] itype the intermediate data type. + * + * @return The result of the fixed point multiplication. + */ +#define MULQ_IMPL(type, itype) \ + inline type mul_##type(type VopA, type VopB, int fixed_point_position) \ + { \ + itype round_val = (itype)(1 << (fixed_point_position - 1)); \ + itype res = CONVERT((VopA), itype) * CONVERT((VopB), itype) + round_val; \ + return CONVERT((res >> (itype)fixed_point_position), type); \ + } + +MULQ_IMPL(qs8x8, qs16x8) +MULQ_IMPL(qs16x8, qs32x8) +MULQ_IMPL(qs8x16, qs16x16) +MULQ_IMPL(qs16x16, qs32x16) + +#define MUL_OP_EXPAND_STR(a, b, type, size, position) mul_##type##x##size((a), (b), (position)) +#define MUL_OP_EXPAND(a, b, type, size, position) MUL_OP_EXPAND_STR(a, b, type, size, position) + +/* Saturate multiply of two fixed point numbers + * + * @param[in] type the actual data type. + * @param[in] itype the intermediate data type. + * + * @return The result of the fixed point multiplication. The result is saturated in case of overflow + */ +#define MULQ_SAT_IMPL(type, itype) \ + inline type mul_sat_##type(type VopA, type VopB, int fixed_point_position) \ + { \ + itype round_val = (itype)(1 << (fixed_point_position - 1)); \ + itype res = mad_sat(CONVERT((VopA), itype), CONVERT((VopB), itype), round_val); \ + return CONVERT_SAT((res >> (itype)fixed_point_position), type); \ + } + +MULQ_SAT_IMPL(qs8x1, qs16x1) +MULQ_SAT_IMPL(qs8x2, qs16x2) +MULQ_SAT_IMPL(qs8x3, qs16x3) +MULQ_SAT_IMPL(qs8x4, qs16x4) +MULQ_SAT_IMPL(qs8x8, qs16x8) +MULQ_SAT_IMPL(qs8x16, qs16x16) +MULQ_SAT_IMPL(qs16x1, qs32x1) +MULQ_SAT_IMPL(qs16x2, qs32x2) +MULQ_SAT_IMPL(qs16x3, qs32x3) +MULQ_SAT_IMPL(qs16x4, qs32x4) +MULQ_SAT_IMPL(qs16x8, qs32x8) +MULQ_SAT_IMPL(qs16x16, qs32x16) + +#define MUL_SAT_OP_EXPAND_STR(a, b, type, size, position) \ + mul_sat_##type##x##size((a), (b), (position)) +#define MUL_SAT_OP_EXPAND(a, b, type, size, position) \ + MUL_SAT_OP_EXPAND_STR(a, b, type, size, position) + +/** Saturate multiply-accumulate + * + * @param[in] type the actual data type. + * @param[in] itype the intermediate data type. + * + * @return The result of the fixed point multiply-accumulate. The result is saturated in case of + * overflow + */ +#define MLAQ_SAT_IMPL(type, itype) \ + type mla_sat_##type(type VopA, type VopB, type VopC, int fixed_point_position) \ + { \ + itype res = mad_sat(CONVERT(VopB, itype), CONVERT(VopC, itype), \ + (itype)(1 << (fixed_point_position - 1))); \ + return add_sat(VopA, CONVERT_SAT(res >> (itype)fixed_point_position, type)); \ + } + +MLAQ_SAT_IMPL(qs8x8, qs16x8) +MLAQ_SAT_IMPL(qs8x16, qs16x16) +MLAQ_SAT_IMPL(qs16x8, qs32x8) + +#define MLA_SAT_OP_EXPAND_STR(a, b, c, type, size, position) \ + mla_sat_##type##x##size((a), (b), (c), (position)) +#define MLA_SAT_OP_EXPAND(a, b, c, type, size, position) \ + MLA_SAT_OP_EXPAND_STR(a, b, c, type, size, position) + +/** Saturate multiply-accumulate long + * + * @param[in] type the actual data type. + * @param[in] itype the intermediate data type. + * + * @return The result of the fixed point multiply-accumulate long. The result is saturated in case + * of overflow + */ +#define MLALQ_SAT_IMPL(type, itype) \ + itype mlal_sat_##type(itype VopA, type VopB, type VopC, int fixed_point_position) \ + { \ + itype res = mad_sat(CONVERT(VopB, itype), CONVERT(VopC, itype), \ + (itype)(1 << (fixed_point_position - 1))); \ + return add_sat(VopA, res >> (itype)fixed_point_position); \ + } + +MLALQ_SAT_IMPL(qs8x8, qs16x8) +MLALQ_SAT_IMPL(qs16x8, qs32x8) + +#define MLAL_SAT_OP_EXPAND_STR(a, b, c, type, size, position) \ + mlal_sat_##type##x##size((a), (b), (c), (position)) +#define MLAL_SAT_OP_EXPAND(a, b, c, type, size, position) \ + MLAL_SAT_OP_EXPAND_STR(a, b, c, type, size, position) + +/** Saturate division of two fixed point vectors + * + * @param[in] stype the actual scalar data type. + * @param[in] type the actual data type. + * @param[in] itype the intermediate data type. + * + * @return The result of the fixed point division. The result is saturated in case of overflow + */ +#define DIVQ_SAT_IMPL(stype, type, itype) \ + inline type div_sat_##type(type VopA, type VopB, int fixed_point_position) \ + { \ + itype conv_a = CONVERT((VopA), itype); \ + itype denominator = CONVERT((VopB), itype); \ + itype numerator = conv_a << (itype)(fixed_point_position); \ + itype res = select((itype)(numerator / denominator), \ + select((itype)stype##_MAX, (itype)stype##_MIN, (itype)(conv_a < (itype)0)), \ + (itype)(denominator == (itype)0)); \ + return CONVERT_SAT((res), type); \ + } + +DIVQ_SAT_IMPL(qs8, qs8x16, qs16x16) +DIVQ_SAT_IMPL(qs16, qs16x8, qs32x8) +DIVQ_SAT_IMPL(qs16, qs16x16, qs32x16) +DIVQ_SAT_IMPL(qs8, qs8, qs16) +DIVQ_SAT_IMPL(qs16, qs16, qs32) + +#define DIV_SAT_OP_EXPAND_STR(a, b, type, position) div_sat_##type((a), (b), (position)) +#define DIV_SAT_OP_EXPAND(a, b, type, position) DIV_SAT_OP_EXPAND_STR(a, b, type, position) + +#define DIV_SAT_OP_VEC_EXPAND_STR(a, b, type, size, position) \ + div_sat_##type##x##size((a), (b), (position)) +#define DIV_SAT_OP_VEC_EXPAND(a, b, type, size, position) \ + DIV_SAT_OP_VEC_EXPAND_STR(a, b, type, size, position) + +/** Saturate exponential of a fixed point vector + * + * @note Implemented approach uses taylor polynomial to approximate the exponential function. + * + * @param[in] stype the actual scalar data type. + * @param[in] type the actual data type. + * @param[in] size the number of the calculated elements. + * + * @return The result of the fixed point exponential. The result is saturated in case of overflow + */ +#define EXPQ_IMPL(stype, type, size) \ + inline type exp_sat_##type(type VopA, int fixed_point_position) \ + { \ + type const_one = (type)(1 << (fixed_point_position)); \ + type ln2 = (type)((((0x58B9 >> (14 - fixed_point_position))) + 1) >> 1); \ + type inv_ln2 = (type)((((0x38AA >> (14 - fixed_point_position)) + 1) >> 1)) | const_one; \ + type A = (type)(((0x7FBA >> (14 - fixed_point_position)) + 1) >> 1); \ + type B = (type)(((0x3FE9 >> (14 - fixed_point_position)) + 1) >> 1); \ + type C = (type)(((0x1693 >> (14 - fixed_point_position)) + 1) >> 1); \ + type D = (type)(((0x0592 >> (14 - fixed_point_position)) + 1) >> 1); \ + type m = MUL_SAT_OP_EXPAND(VopA, inv_ln2, stype, size, fixed_point_position); \ + type dec_m = m >> (type)fixed_point_position; \ + type alpha = MUL_SAT_OP_EXPAND(dec_m << (type)fixed_point_position, ln2, stype, size, \ + fixed_point_position); \ + alpha = CONVERT(abs_diff(VopA, alpha), type); \ + type sum = add_sat(MUL_SAT_OP_EXPAND(alpha, D, stype, size, fixed_point_position), C); \ + sum = add_sat(MUL_SAT_OP_EXPAND(alpha, sum, stype, size, fixed_point_position), B); \ + sum = add_sat(MUL_SAT_OP_EXPAND(alpha, sum, stype, size, fixed_point_position), A); \ + sum = add_sat(MUL_SAT_OP_EXPAND(alpha, sum, stype, size, fixed_point_position), const_one); \ + return select((type)stype##_MAX, select(sum << dec_m, sum >> -dec_m, dec_m < (type)0), \ + clz(sum) > dec_m); /* Saturate result if needed */ \ + } + +EXPQ_IMPL(qs8, qs8x2, 2) +EXPQ_IMPL(qs8, qs8x4, 4) +EXPQ_IMPL(qs8, qs8x8, 8) +EXPQ_IMPL(qs8, qs8x16, 16) +EXPQ_IMPL(qs16, qs16x2, 2) +EXPQ_IMPL(qs16, qs16x4, 4) +EXPQ_IMPL(qs16, qs16x8, 8) +EXPQ_IMPL(qs16, qs16x16, 16) + +#define EXP_OP_EXPAND_STR(a, type, size, position) exp_sat_##type##x##size((a), (position)) +#define EXP_OP_EXPAND(a, type, size, position) EXP_OP_EXPAND_STR(a, type, size, position) + +/** Saturate logarithm of a fixed point vector + * + * @note Implemented approach uses taylor polynomial to approximate the logarithm function. + * + * @param[in] stype the actual scalar data type. + * @param[in] type the actual data type. + * @param[in] size the number of the calculated elements. + * + * @return The result of the fixed point logarithm. The result is saturated in case of overflow + */ +#define LOGQ_IMPL(stype, type, size) \ + inline type log_sat_##type(type VopA, int fixed_point_position) \ + { \ + type const_one = (type)(1 << (fixed_point_position)); \ + type ln2 = (type)(0x58B9 >> (15 - fixed_point_position)); /* 1.4384189 */ \ + type A = (type)(0x5C0F >> (14 - fixed_point_position)); /* 1.4384189 */ \ + type B = -(type)(0x56AE >> (15 - fixed_point_position)); /* -0.6771900 */ \ + type C = (type)(0x2933 >> (15 - fixed_point_position)); /* 0.3218538 */ \ + type D = -(type)(0x0AA7 >> (15 - fixed_point_position)); /* -0.0832229 */ \ + type inter_a = \ + select(VopA, DIV_SAT_OP_VEC_EXPAND(const_one, VopA, stype, size, fixed_point_position), \ + VopA < const_one); \ + type shift_val = (type)(15 - stype##_SHIFT) - clz(inter_a >> (type)fixed_point_position); \ + inter_a = inter_a >> shift_val; \ + inter_a = sub_sat(inter_a, const_one); \ + type sum = add_sat(MUL_SAT_OP_EXPAND(inter_a, D, stype, size, fixed_point_position), C); \ + sum = add_sat(MUL_SAT_OP_EXPAND(inter_a, sum, stype, size, fixed_point_position), B); \ + sum = add_sat(MUL_SAT_OP_EXPAND(inter_a, sum, stype, size, fixed_point_position), A); \ + sum = MUL_SAT_OP_EXPAND(inter_a, sum, stype, size, fixed_point_position); \ + sum = MUL_SAT_OP_EXPAND(add_sat(sum, shift_val << (type)fixed_point_position), ln2, stype, \ + size, fixed_point_position); \ + return select(select(sum, -sum, VopA < const_one), (type)0, \ + VopA < (type)0); /* Saturate result if needed */ \ + } + +LOGQ_IMPL(qs8, qs8x16, 16) +LOGQ_IMPL(qs16, qs16x8, 8) +LOGQ_IMPL(qs16, qs16x16, 16) + +#define LOG_OP_EXPAND_STR(a, type, size, position) log_sat_##type##x##size((a), (position)) +#define LOG_OP_EXPAND(a, type, size, position) LOG_OP_EXPAND_STR(a, type, size, position) + +/** Saturate inverse square root of a fixed point vector + * + * @note Implemented approach uses Newton's method to approximate the inverse square root function. + * + * @param[in] stype the actual scalar data type. + * @param[in] type the actual data type. + * @param[in] size the number of the calculated elements. + * + * @return The result of the fixed point inverse square root. The result is saturated in case of + * overflow + */ +#define INVSQRTQ_IMPL(stype, type, size) \ + inline type invsqrt_sat_##type(type VopA, int fixed_point_position) \ + { \ + type const_three = (type)(3 << (fixed_point_position)); \ + type shift_value = (type)(16 - stype##_SHIFT) - (clz(VopA) + (type)fixed_point_position); \ + type temp = select((type)(VopA >> shift_value), \ + select((type)stype##_MAX, (type)(VopA << (-shift_value)), \ + (type)(clz(VopA) > (-shift_value))), \ + (type)(shift_value < (type)0)); \ + type x = temp; \ + x = MUL_SAT_OP_EXPAND( \ + x, sub_sat(const_three, MUL_SAT_OP_EXPAND(MUL_SAT_OP_EXPAND(x, x, stype, size, \ + fixed_point_position), \ + temp, stype, size, fixed_point_position)), \ + stype, size, fixed_point_position) >> \ + 1; \ + x = MUL_SAT_OP_EXPAND( \ + x, sub_sat(const_three, MUL_SAT_OP_EXPAND(MUL_SAT_OP_EXPAND(x, x, stype, size, \ + fixed_point_position), \ + temp, stype, size, fixed_point_position)), \ + stype, size, fixed_point_position) >> \ + 1; \ + x = MUL_SAT_OP_EXPAND( \ + x, sub_sat(const_three, MUL_SAT_OP_EXPAND(MUL_SAT_OP_EXPAND(x, x, stype, size, \ + fixed_point_position), \ + temp, stype, size, fixed_point_position)), \ + stype, size, fixed_point_position) >> \ + 1; \ + if (sizeof((stype)(1)) > 1) /* Perform more iterations if datatype is QS16 */ \ + { \ + x = MUL_SAT_OP_EXPAND( \ + x, sub_sat(const_three, MUL_SAT_OP_EXPAND(MUL_SAT_OP_EXPAND(x, x, stype, size, \ + fixed_point_position), \ + temp, stype, size, fixed_point_position)), \ + stype, size, fixed_point_position) >> \ + 1; \ + x = MUL_SAT_OP_EXPAND( \ + x, sub_sat(const_three, MUL_SAT_OP_EXPAND(MUL_SAT_OP_EXPAND(x, x, stype, size, \ + fixed_point_position), \ + temp, stype, size, fixed_point_position)), \ + stype, size, fixed_point_position) >> \ + 1; \ + } \ + type shift_value2 = select(shift_value >> 1, (-shift_value) >> 1, shift_value < (type)0); \ + return select((type)(x >> shift_value2), select((type)stype##_MAX, (type)(x << shift_value2), \ + (type)(clz(x) > shift_value2)), \ + (type)(shift_value < (type)0)); /* Saturate result if needed */ \ + } + +INVSQRTQ_IMPL(qs8, qs8x1, 1) +INVSQRTQ_IMPL(qs16, qs16x1, 1) +INVSQRTQ_IMPL(qs8, qs8x16, 16) +INVSQRTQ_IMPL(qs16, qs16x8, 8) + +#define INVSQRT_OP_EXPAND_STR(a, type, size, position) invsqrt_sat_##type##x##size((a), (position)) +#define INVSQRT_OP_EXPAND(a, type, size, position) INVSQRT_OP_EXPAND_STR(a, type, size, position) + +/** Saturate hyperbolic tangent of a fixed point vector + * + * tanh(x) = (e^2x - 1)/(e^2x + 1) + * + * @param[in] stype the actual scalar data type. + * @param[in] type the actual data type. + * @param[in] size the number of the calculated elements. + * + * @return The result of the fixed point hyperbolic tangent. The result is saturated in case of + * overflow + */ +#define TANHQ_IMPL(stype, type, size) \ + inline type tanh_sat_##type(type VopA, int fixed_point_position) \ + { \ + type const_one = (type)(1 << (fixed_point_position)); \ + type const_two = (type)(2 << (fixed_point_position)); \ + type exp2x = \ + EXP_OP_EXPAND(MUL_SAT_OP_EXPAND(const_two, VopA, stype, size, fixed_point_position), \ + stype, size, fixed_point_position); \ + type num = SUB_SAT_OP_EXPAND(exp2x, const_one, stype, size); \ + type den = ADD_SAT_OP_EXPAND(exp2x, const_one, stype, size); \ + return DIV_SAT_OP_VEC_EXPAND(num, den, stype, size, fixed_point_position); \ + } + +TANHQ_IMPL(qs8, qs8x16, 16) +TANHQ_IMPL(qs16, qs16x8, 8) + +#define TANH_OP_EXPAND_STR(a, type, size, position) tanh_sat_##type##x##size((a), (position)) +#define TANH_OP_EXPAND(a, type, size, position) TANH_OP_EXPAND_STR(a, type, size, position) + +#define floatx16 float16 +#define float16_TYPE float16 + +#define CONVERTQ_DOWN_IMPL(in_type, out_type) \ + inline out_type convert_##out_type##_##in_type(in_type a, int fixed_point_position) \ + { \ + return CONVERT(a * (1 << fixed_point_position) + \ + select((in_type)-0.5f, (in_type)0.5f, isgreater(a, (in_type)0)), \ + out_type); \ + } + +CONVERTQ_DOWN_IMPL(float16, qs8x16) +CONVERTQ_DOWN_IMPL(float16, qs16x16) + +#define CONVERTQ_DOWN_SAT_IMPL(in_type, out_type) \ + inline out_type convert_##out_type##_##in_type##_sat(in_type a, int fixed_point_position) \ + { \ + return CONVERT_SAT(a * (1 << fixed_point_position) + \ + select((in_type)-0.5f, (in_type)0.5f, isgreater(a, (in_type)0)), \ + out_type); \ + } + +CONVERTQ_DOWN_SAT_IMPL(float16, qs8x16) +CONVERTQ_DOWN_SAT_IMPL(float16, qs16x16) + +#define CONVERTQ_UP_IMPL(in_type, out_type) \ + inline out_type convert_##out_type##_##in_type(in_type a, int fixed_point_position) \ + { \ + return CONVERT(a, out_type) / (1 << fixed_point_position); \ + } + +CONVERTQ_UP_IMPL(qs8x16, float16) +CONVERTQ_UP_IMPL(qs16x16, float16) + +#define SQCVT_SAT_IMPL(type) \ + inline type sqcvt_##type##_sat(float a, int fixed_point_position) \ + { \ + return CONVERT_SAT((a * (1 << fixed_point_position) + ((a < 0) ? -0.5f : 0.5f)), type); \ + } + +SQCVT_SAT_IMPL(qs8) +SQCVT_SAT_IMPL(qs16) + +#define SQCVT_SAT_OP_EXPAND_STR(a, type, position) sqcvt_##type##_sat((a), (position)) +#define SQCVT_SAT_OP_EXPAND(a, type, position) SQCVT_SAT_OP_EXPAND_STR((a), type, position) + +#endif // ARM_COMPUTE_FIXED_POINT_H |