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Diffstat (limited to 'src/core/CL/cl_kernels/fixed_point.h')
| -rw-r--r-- | src/core/CL/cl_kernels/fixed_point.h | 229 |
1 files changed, 229 insertions, 0 deletions
diff --git a/src/core/CL/cl_kernels/fixed_point.h b/src/core/CL/cl_kernels/fixed_point.h new file mode 100644 index 0000000000..2c100c2e28 --- /dev/null +++ b/src/core/CL/cl_kernels/fixed_point.h @@ -0,0 +1,229 @@ +/* + * Copyright (c) 2017 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) + +#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 qu8_MIN ((uchar)0) +#define qu8_MAX ((uchar)UCHAR_MAX) +#define qu16_MIN ((ushort)0) +#define qu16_MAX ((ushort)USHRT_MAX) + +#define qs8_TYPE char +#define qs8x1_TYPE char +#define qs8x2_TYPE char2 +#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 qs16x4_TYPE short4 +#define qs16x8_TYPE short8 +#define qs16x16_TYPE short16 + +#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 max of fixed point types. + * + * @param[in] type is the actual data type. + * + * @return The result of the fixed point vector 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) + +#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 is the actual data type. + * + * @return The result of the fixed point vector 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) + +#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 is the actual data type. + * + * @return The result of the fixed point vector 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) + +#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) + +/* Saturate multiply of two fixed point vectors + * + * @param[in] type is the actual data type. + * @param[in] itype is the intermediate data type. + * + * @return The result of the fixed point vector subtraction. 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(qs8x16, qs16x16) + +#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 division of two fixed point vectors + * + * @param[in] stype is the actual scalar data type. + * @param[in] type is the actual data type. + * @param[in] itype is 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(numerator / denominator, select((itype)stype##_MAX, (itype)stype##_MIN, conv_a < (itype)0), denominator == (itype)0); \ + return CONVERT_SAT((res), type); \ + } + +DIVQ_SAT_IMPL(qs8, qs8x16, qs16x16) + +#define DIV_SAT_OP_EXPAND_STR(a, b, type, size, position) div_sat_##type##x##size((a), (b), (position)) +#define DIV_SAT_OP_EXPAND(a, b, type, size, position) DIV_SAT_OP_EXPAND_STR(a, b, type, size, position) + +/** Saturate exponential fixed point 8 bit (16 elements) + * + * @param[in] a 8 bit fixed point input vector + * @param[in] fixed_point_position Fixed point position that expresses the number of bits for the fractional part of the number + * + * @return The result of the 8 bit fixed point exponential. The result is saturated in case of overflow + */ +qs8x16 inline exp_qs8x16(qs8x16 a, int fixed_point_position) +{ + // Constants (literal constants are calculated by converting the respective float to the fixed point with the highest supported fixed point position) + char16 const_one = (char16)(1 << (fixed_point_position)); + char16 ln2 = (char16)(((0x58 >> (6 - fixed_point_position)) + 1) >> 1); // 0.693147 + char16 inv_ln2 = ((char16)(((0x38 >> (6 - (fixed_point_position))) + 1) >> 1)) | const_one; // 1.442695 + char16 A = (char16)(((0x7F >> (6 - (fixed_point_position))) + 1) >> 1); // 0.9978546 + char16 B = (char16)(((0x3F >> (6 - (fixed_point_position))) + 1) >> 1); // 0.4994721 + char16 C = (char16)(((0x16 >> (6 - (fixed_point_position))) + 1) >> 1); // 0.1763723 + char16 D = (char16)(((0x05 >> (6 - (fixed_point_position))) + 1) >> 1); // 0.0435108 + + // Perform range reduction [-log(2),log(2)] + char16 m = mul_sat_qs8x16(a, inv_ln2, fixed_point_position); + + // get decimal part of m + char16 dec_m = m >> (char16)fixed_point_position; + + char16 alpha = mul_sat_qs8x16(dec_m << (char16)fixed_point_position, ln2, fixed_point_position); + alpha = convert_char16(abs_diff(a, alpha)); + + // Polynomial expansion + char16 sum = add_sat_qs8x16(mul_sat_qs8x16(alpha, D, fixed_point_position), C); + sum = add_sat_qs8x16(mul_sat_qs8x16(alpha, sum, fixed_point_position), B); + sum = add_sat_qs8x16(mul_sat_qs8x16(alpha, sum, fixed_point_position), A); + sum = add_sat_qs8x16(mul_sat_qs8x16(alpha, sum, fixed_point_position), const_one); + + // Reconstruct and saturate result + return select(select(sum << dec_m, sum >> -dec_m, dec_m < (char16)0), (char16)0x7F, clz(sum) <= dec_m); +} + +#define EXP_OP_EXPAND_STR(a, type, size, position) exp_##type##x##size((a), (position)) +#define EXP_OP_EXPAND(a, type, size, position) EXP_OP_EXPAND_STR(a, type, size, position) + +#endif // ARM_COMPUTE_FIXED_POINT_H |