/* * Copyright 2015 Advanced Micro Devices, Inc. * * 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 COPYRIGHT HOLDER(S) OR AUTHOR(S) 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. * * Authors: AMD * */ #include "dm_services.h" #include "bw_fixed.h" #define MIN_I64 \ (int64_t)(-(1LL << 63)) #define MAX_I64 \ (int64_t)((1ULL << 63) - 1) #define FRACTIONAL_PART_MASK \ ((1ULL << BW_FIXED_BITS_PER_FRACTIONAL_PART) - 1) #define GET_FRACTIONAL_PART(x) \ (FRACTIONAL_PART_MASK & (x)) static uint64_t abs_i64(int64_t arg) { if (arg >= 0) return (uint64_t)(arg); else return (uint64_t)(-arg); } struct bw_fixed bw_int_to_fixed_nonconst(int64_t value) { struct bw_fixed res; ASSERT(value < BW_FIXED_MAX_I32 && value > BW_FIXED_MIN_I32); res.value = value << BW_FIXED_BITS_PER_FRACTIONAL_PART; return res; } struct bw_fixed bw_frc_to_fixed(int64_t numerator, int64_t denominator) { struct bw_fixed res; bool arg1_negative = numerator < 0; bool arg2_negative = denominator < 0; uint64_t arg1_value; uint64_t arg2_value; uint64_t remainder; /* determine integer part */ uint64_t res_value; ASSERT(denominator != 0); arg1_value = abs_i64(numerator); arg2_value = abs_i64(denominator); res_value = div64_u64_rem(arg1_value, arg2_value, &remainder); ASSERT(res_value <= BW_FIXED_MAX_I32); /* determine fractional part */ { uint32_t i = BW_FIXED_BITS_PER_FRACTIONAL_PART; do { remainder <<= 1; res_value <<= 1; if (remainder >= arg2_value) { res_value |= 1; remainder -= arg2_value; } } while (--i != 0); } /* round up LSB */ { uint64_t summand = (remainder << 1) >= arg2_value; ASSERT(res_value <= MAX_I64 - summand); res_value += summand; } res.value = (int64_t)(res_value); if (arg1_negative ^ arg2_negative) res.value = -res.value; return res; } struct bw_fixed bw_floor2( const struct bw_fixed arg, const struct bw_fixed significance) { struct bw_fixed result; int64_t multiplicand; multiplicand = div64_s64(arg.value, abs_i64(significance.value)); result.value = abs_i64(significance.value) * multiplicand; ASSERT(abs_i64(result.value) <= abs_i64(arg.value)); return result; } struct bw_fixed bw_ceil2( const struct bw_fixed arg, const struct bw_fixed significance) { struct bw_fixed result; int64_t multiplicand; multiplicand = div64_s64(arg.value, abs_i64(significance.value)); result.value = abs_i64(significance.value) * multiplicand; if (abs_i64(result.value) < abs_i64(arg.value)) { if (arg.value < 0) result.value -= abs_i64(significance.value); else result.value += abs_i64(significance.value); } return result; } struct bw_fixed bw_mul(const struct bw_fixed arg1, const struct bw_fixed arg2) { struct bw_fixed res; bool arg1_negative = arg1.value < 0; bool arg2_negative = arg2.value < 0; uint64_t arg1_value = abs_i64(arg1.value); uint64_t arg2_value = abs_i64(arg2.value); uint64_t arg1_int = BW_FIXED_GET_INTEGER_PART(arg1_value); uint64_t arg2_int = BW_FIXED_GET_INTEGER_PART(arg2_value); uint64_t arg1_fra = GET_FRACTIONAL_PART(arg1_value); uint64_t arg2_fra = GET_FRACTIONAL_PART(arg2_value); uint64_t tmp; res.value = arg1_int * arg2_int; ASSERT(res.value <= BW_FIXED_MAX_I32); res.value <<= BW_FIXED_BITS_PER_FRACTIONAL_PART; tmp = arg1_int * arg2_fra; ASSERT(tmp <= (uint64_t)(MAX_I64 - res.value)); res.value += tmp; tmp = arg2_int * arg1_fra; ASSERT(tmp <= (uint64_t)(MAX_I64 - res.value)); res.value += tmp; tmp = arg1_fra * arg2_fra; tmp = (tmp >> BW_FIXED_BITS_PER_FRACTIONAL_PART) + (tmp >= (uint64_t)(bw_frc_to_fixed(1, 2).value)); ASSERT(tmp <= (uint64_t)(MAX_I64 - res.value)); res.value += tmp; if (arg1_negative ^ arg2_negative) res.value = -res.value; return res; }