/* Copyright (c) 2010 Wildfire Games * * 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. */ /* * various utility functions. */ /** low-level aka "lib" ------------------- this codebase was grown from modules shared between several projects, i.e. my personal library; hence the name "lib". it has been expanded to fit the needs of 0ad - in particular, resource loading. owing to the dual-use situation, the 0ad coding conventions are not met; also, major changes are ill-advised because they may break other projects. design goals ------------ - fast and low-overhead, including startup time - portable: must run on Win32, Mac OS X and Linux - reusable across projects, i.e. no dependency on a central 'manager' that ties modules together. scope ----- - POSIX definitions - resource management - debugging tools (including memory tracker) - low-level helper functions, e.g. ADTs, endian conversion and timing - platform-dependent system/feature detection **/ #ifndef INCLUDED_LIB #define INCLUDED_LIB #include // fabsf #include // numeric_limits #include // out_of_range template T Clamp(T val, T min, T max) { ASSERT(min <= max); return std::max(min, std::min(val, max)); } template T DivideRoundUp(T dividend, T divisor) { ASSERT(divisor != 0); return (dividend + divisor-1) / divisor; } /** * are the given floats nearly "equal"? * * @return whether the numbers are within "epsilon" of each other. * * notes: * - the epsilon magic number varies with the magnitude of the inputs. * we use a sane default, but don't use this routine for very * large/small comparands. * - floating-point numbers don't magically lose precision. addition, * subtraction and multiplication results are precise up to the mantissa's * least-significant bit. only division, sqrt, sin/cos and other * transcendental operations introduce error. **/ inline bool feq(double d1, double d2, double epsilon = 0.00001) { return fabs(d1 - d2) < epsilon; } inline bool feqf(float f1, float f2, float epsilon = 0.001f) { return fabsf(f1 - f2) < epsilon; } inline bool IsSimilarMagnitude(double d1, double d2, const double relativeErrorTolerance = 0.05) { const double relativeError = fabs(d1/d2 - 1.0); if(relativeError > relativeErrorTolerance) return false; return true; } //----------------------------------------------------------------------------- // type conversion // note: these avoid a common mistake in using >> (ANSI requires // shift count be less than the bit width of the type). extern u32 u64_hi(u64 x); /// return upper 32-bits extern u32 u64_lo(u64 x); /// return lower 32-bits extern u16 u32_hi(u32 x); /// return upper 16-bits extern u16 u32_lo(u32 x); /// return lower 16-bits extern u64 u64_from_u32(u32 hi, u32 lo); /// assemble u64 from u32 extern u32 u32_from_u16(u16 hi, u16 lo); /// assemble u32 from u16 // safe downcasters: cast from any integral type to u32 or u16; // issues warning if larger than would fit in the target type. // // these are generally useful but included here (instead of e.g. lib.h) for // several reasons: // - including implementation in lib.h doesn't work because the definition // of ENSURE in turn requires lib.h's STMT. // - separate compilation of templates via export isn't supported by // most compilers. template u8 u8_from_larger(T x) { const u8 max = std::numeric_limits::max(); if((u64)x > (u64)max) throw std::out_of_range("u8_from_larger"); return (u8)(x & max); } template u16 u16_from_larger(T x) { const u16 max = std::numeric_limits::max(); if((u64)x > (u64)max) throw std::out_of_range("u16_from_larger"); return (u16)(x & max); } template u32 u32_from_larger(T x) { const u32 max = std::numeric_limits::max(); if((u64)x > (u64)max) throw std::out_of_range("u32_from_larger"); return (u32)(x & max); } /// convert double to u8; verifies number is in range. extern u8 u8_from_double(double in); /// convert double to u16; verifies number is in range. extern u16 u16_from_double(double in); #endif // #ifndef INCLUDED_LIB