/******************************************************************************* * * MIT License * * Copyright (c) 2023 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 * 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 GUARD_CALC_ERR_ #define GUARD_CALC_ERR_ #include #include // This works well when difference is small. When one value // is 0 and another is not, result is incorrect (very big) // due to zero exponent in one number and non-zero exponent // in another, because exponent resides in MSBs of a floating // point number. template float ApproxUlps(T_ c_val, T_ g_val) { double err = -1.0; if(sizeof(T_) == 2) { int16_t* c_uval = reinterpret_cast(&c_val); int16_t* g_uval = reinterpret_cast(&g_val); err = static_cast(std::abs(*c_uval - *g_uval)); } else if(sizeof(T_) == 4) { int32_t* c_uval = reinterpret_cast(&c_val); int32_t* g_uval = reinterpret_cast(&g_val); err = static_cast(std::abs(*c_uval - *g_uval)); } else if(sizeof(T_) == 8) { int64_t* c_uval = reinterpret_cast(&c_val); int64_t* g_uval = reinterpret_cast(&g_val); err = static_cast(std::abs(*c_uval - *g_uval)); } // double delta = abs(c_val - g_val); // double nextafter_delta = nextafterf(min(abs(c_val), abs(g_val)), (T_)INFINITY) - // min(abs(c_val), abs(g_val)); // err = delta / nextafter_delta; return err; } #endif // GUARD_GUARD_CALC_ERR_