author | celestar |
Mon, 19 Mar 2007 14:05:08 +0000 | |
branch | gamebalance |
changeset 9897 | 4a2d75b60786 |
parent 9887 | 3d32aa4ae67c |
child 9898 | 324dad59eb35 |
permissions | -rw-r--r-- |
9876
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/* $Id */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/** |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* @file |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* Implements a Fixed-point data type. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* This files defines a new data type |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* "FixedT<Tstorage, Tdec_bits>", which can be used to compute fractional |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* numbers without having to worry about network stability (because |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* there is no real rounding taking place. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* Use "Fixed" for the defaults values (48 bits integral part, 16 bits |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* fractional part) or "FixedT<typename, int>" for flexible sizes. "int" |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* number of bits are taken from a variable of "typename" for the fractional |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* representation, the rest stays available for the integral part. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* @warning More than 16 bits fractional should not be used when working |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* with large integers. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* @warning More than 31 fractional bits are not supported, and will |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* trigger a compiler warning with appropriate settings. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* @warning There are no warnings for buffer overflows. Those are very likely |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* to happen with divisions, as those first shift the numerator by the number |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* of fractional bits. Use multiplication with the reciprocal whereever |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* it is possible. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* @warning Please use signed variables for storage at the moment ONLY |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* Variables can be initialized: |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* - with integers: "FixedT<int, 9> a = -5" |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* - with fractionals: "FixedT<int64, 11> b(7, 2);" where the first number is |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* the numerator and the second is the denominator. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* - not at all: "Fixed c;", which will automatically set c to zero. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* @example fixed_ex.cpp How to initialize Fixed-point data types |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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|
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/* Included to overload the stream operator << */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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#include <iostream> |
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/* Needed for some ottd-specific data types */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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#include "stdafx.h" |
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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|
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/** |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* Base Class for storing fixed-point data types. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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* Fixed-point data types are stored in a single integer-type variable |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* (Tstorage) of which a certain number of bits (Tdec_bits) is used to |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* represent the fractional part of the number. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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template <typename Tstorage, int Tdec_bits> |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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class FixedRawT { |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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public: |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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/** The number of bits that represent the fractional */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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static const int dec_bits = Tdec_bits; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/** The storage of the number itself */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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Tstorage m_data; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/** |
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* Basic constructor for integer arguments. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* @param value The raw value to which we want to initialize |
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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template <typename T> |
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FixedRawT(T value) : m_data(value) {} |
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/** |
f8302fbd236d
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* Make sure that a Fixed variable is always inizialized to zero by default. |
f8302fbd236d
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* We need this ctor so that we can declare variable without |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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* the need to initialize it explicitly |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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FixedRawT() : m_data (0) {} |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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|
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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/** |
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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68 |
* Returns the biggest integral number we can represent |
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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69 |
*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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70 |
int64 FIXED_MAX() const { return m_maximum; } |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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71 |
|
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72 |
/** |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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73 |
* Returns the biggest integral number we can represent |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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74 |
*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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75 |
int64 FIXED_MIN() const { return m_minimum; } |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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76 |
|
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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77 |
private: |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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78 |
/** The largest number we can hold */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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79 |
static const int64 m_maximum = +(1ULL << ((sizeof(Tstorage) * 8) - Tdec_bits - 1)) - 1; |
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80 |
|
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(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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81 |
/** The smallest number we can hold */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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82 |
static const int64 m_minimum = -(1ULL << ((sizeof(Tstorage) * 8) - Tdec_bits - 1)) - 0; |
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83 |
}; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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84 |
|
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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85 |
/* forward-declare some structs */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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86 |
template <typename Tstorage, int Tdec_bits> class FixedT; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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87 |
template <typename T> struct FixedHelperT; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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88 |
|
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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89 |
/** |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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|
90 |
* Specialization of FixedHelperT. Used to decimal-align two variables of Fixed type. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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91 |
*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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92 |
template <typename Tstorage, int Tdec_bits> struct FixedHelperT<FixedRawT<Tstorage, Tdec_bits> > |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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93 |
{ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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94 |
/** The number of bits used for the fraction */ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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95 |
static const int dec_bits = Tdec_bits; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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96 |
|
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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97 |
/** |
f8302fbd236d
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celestar
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98 |
* Gives the raw data of a FixedRaw |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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99 |
* @param t The number to return |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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100 |
*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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101 |
static int64 Raw(const FixedRawT<Tstorage, Tdec_bits>& t) {return (int64)t.m_data;} |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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102 |
|
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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103 |
/** |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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104 |
* Returns the data from FixedRawT aligned so that it is aligned to a given number |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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105 |
* @param t The number to be aligned |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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106 |
* @param bits The number of bits in the fractional part to be aligned to |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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107 |
*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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108 |
static int64 Raw(const FixedRawT<Tstorage, Tdec_bits>& t, int bits) |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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109 |
{ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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|
110 |
return (((int64)t.m_data) << (bits > Tdec_bits ? bits - Tdec_bits : 0)) >> (bits < Tdec_bits ? Tdec_bits - bits : 0); |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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111 |
} |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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112 |
}; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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113 |
|
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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114 |
/** |
f8302fbd236d
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celestar
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|
115 |
* Specialization of FixedHelperT. Used to decimal-align two variables of Fixed type. |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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116 |
*/ |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
celestar
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117 |
template <typename Tstorage, int Tdec_bits> struct FixedHelperT<FixedT<Tstorage, Tdec_bits> > : public FixedHelperT<FixedRawT<Tstorage, Tdec_bits> > {}; |
f8302fbd236d
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118 |
|
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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119 |
/** |
f8302fbd236d
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120 |
* General implementation of FixedHelperT. This tempate makes sure that |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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121 |
* some number supplied is properly aligned at the decimal |
f8302fbd236d
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122 |
*/ |
f8302fbd236d
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celestar
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123 |
template <typename T> struct FixedHelperT |
f8302fbd236d
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124 |
{ |
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celestar
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125 |
/** This version of FixedHelperT is only used for full integers, so assume the number of dec_bits to be zero */ |
f8302fbd236d
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126 |
static const int dec_bits = 0; |
f8302fbd236d
(svn r9026) [gamebalance] -Add: Added a new data type that allows fixed-point computations, as to enable computing non-integral numbers without worrying about the FPU rounding differences and, thus, desyncs. It is fully doxygenned, read the usage there. Thanks a bunch to KUDr for helping me with templates
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127 |
/** Converts a full integer to one that has a given number of fractional bits, assumes |
f8302fbd236d
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128 |
* the number of fractional bits to be zero. |
f8302fbd236d
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129 |
* @param t the number to be converted |
f8302fbd236d
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130 |
*/ |
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131 |
static int64 Raw(const T& t) {return (int64)t;} |
f8302fbd236d
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132 |
|
f8302fbd236d
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133 |
/** |
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134 |
* Converts a full integer to one that has a given number of fractional bits |
f8302fbd236d
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135 |
* @param bits the number of bits for the fraction |
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* @param t the number to be converted |
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*/ |
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static int64 Raw(const T& t, int bits) {return ((int64)t) << bits;} |
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}; |
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141 |
|
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142 |
/** |
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* A class that defines a fixed-point data type, which a variable length and precision. |
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144 |
* The data type that is defined is a fixed-point variable that has and number of Tdec_bits |
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* bits to represent the fractional part, the remaining bits of Tstorage are then used for |
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* the integer part of the number. This means, we always need to make a trade-off between |
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* the precision we want (higher number in Tdec_bits) and the range (smaller number of |
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* Tdec_bits). This class here only defines the constructors and the operators, everything |
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* else is happning in helper classes. |
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* @note for usage of fprintf and similar, explicit casts are needed (double or int64). |
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151 |
*/ |
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152 |
template <typename Tstorage, int Tdec_bits> class FixedT : public FixedRawT<Tstorage, Tdec_bits> { |
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153 |
/* private block up here, because we need the typedef later on */ |
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154 |
private: |
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155 |
/** We shortcut the underlying data type to "Raw", to save typing */ |
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typedef FixedRawT<Tstorage, Tdec_bits> Raw; |
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157 |
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158 |
public: |
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159 |
/** |
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160 |
* Ctor for assignment with other, non floating, variable types |
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* @param value The Value we should assign to the Fixed |
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162 |
*/ |
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163 |
template <typename T> FixedT(T value) : Raw(FixedHelperT<T>::Raw(value, Tdec_bits)) {} |
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164 |
|
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165 |
/** As a constructor without initializing, just use the one that Raw uses. Sets a variable to zero */ |
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166 |
FixedT() : Raw() {} |
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167 |
|
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168 |
/** |
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169 |
* Ctor for use with a fraction, useful for initing a variable to a non-integer number at declaration. |
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170 |
* @param numerator The Nominator of the fraction |
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171 |
* @param denominator The Denominator of the fraction |
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172 |
*/ |
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173 |
FixedT(int numerator, int denominator) {Raw::m_data = ((int64)numerator << Raw::dec_bits) / (int64)denominator;} |
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174 |
|
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175 |
/** |
9879
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* Cast to a double (for outputs) |
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177 |
*/ |
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178 |
operator double() const |
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179 |
{ |
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return (double)Raw::m_data / (1 << Raw::dec_bits); |
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181 |
} |
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182 |
|
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183 |
/** |
9876
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184 |
* Equality operator |
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185 |
* @param comparator The non-floating point variable we want to compare against |
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186 |
*/ |
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187 |
template <typename T> |
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188 |
bool operator ==(const T &comparator) const { return Raw::m_data == (Tstorage)FixedHelperT<T>::Raw(comparator, Tdec_bits); } |
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189 |
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190 |
/** |
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191 |
* Inequality operator |
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192 |
* @param comparator The non-floating point variable we want to compare against |
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193 |
*/ |
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194 |
template <typename T> |
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195 |
bool operator !=(const T &comparator) const { return Raw::m_data != (Tstorage)FixedHelperT<T>::Raw(comparator, Tdec_bits); } |
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196 |
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197 |
/** |
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198 |
* Greater or equal operator |
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199 |
* @param comparator The non-floating point variable we want to compare against |
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200 |
*/ |
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201 |
template <typename T> |
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202 |
bool operator >=(const T &comparator) const { return Raw::m_data >= (Tstorage)FixedHelperT<T>::Raw(comparator, Tdec_bits); } |
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203 |
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204 |
/** |
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205 |
* Less or equal operator |
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* @param comparator The non-floating point variable we want to compare against |
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*/ |
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template <typename T> |
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bool operator <=(const T &comparator) const { return Raw::m_data <= (Tstorage)FixedHelperT<T>::Raw(comparator, Tdec_bits); } |
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|
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/** |
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* Greater than operator |
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* @param comparator The non-floating point variable we want to compare against |
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*/ |
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template <typename T> |
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bool operator >(const T &comparator) const { return Raw::m_data > (Tstorage)FixedHelperT<T>::Raw(comparator, Tdec_bits); } |
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|
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/** |
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* Less than operator |
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* @param comparator The non-floating point variable we want to compare against |
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*/ |
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template <typename T> |
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bool operator <(const T &comparator) const { return Raw::m_data < (Tstorage)FixedHelperT<T>::Raw(comparator, Tdec_bits); } |
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224 |
|
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225 |
/** |
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226 |
* Addition for Fixed-point data types |
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* @param value The non-floating point number to add |
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*/ |
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template <typename T> FixedT operator +(const T &value) const |
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{ |
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return Raw(Raw::m_data + (Tstorage)FixedHelperT<T>::Raw(value, Tdec_bits)); |
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232 |
} |
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233 |
|
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234 |
/** |
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235 |
* Subtraction for Fixed-point data types |
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* @param value The non-floating point number to subtract |
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237 |
*/ |
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template <typename T> FixedT operator -(const T &value) const |
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239 |
{ |
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return Raw(Raw::m_data - (Tstorage)FixedHelperT<T>::Raw(value, Tdec_bits)); |
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241 |
} |
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242 |
|
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243 |
/** |
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* A simple multiplication for non-floating data types |
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* @param value The non floating-point factor |
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246 |
*/ |
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247 |
template <typename T> FixedT operator *(const T &value) const |
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248 |
{ |
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return Raw( (((int64)Raw::m_data) * FixedHelperT<T>::Raw(value)) >> FixedHelperT<T>::dec_bits); |
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250 |
} |
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251 |
|
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252 |
/** |
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253 |
* A simple division for non-floating data types |
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254 |
* @param value The non floating-point divisor |
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255 |
*/ |
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256 |
template <typename T> FixedT operator /(const T &value) const |
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257 |
{ |
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258 |
return Raw( (((int64)Raw::m_data) << FixedHelperT<T>::dec_bits) / FixedHelperT<T>::Raw(value)); |
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259 |
} |
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260 |
|
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261 |
/** |
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262 |
* Addition-assignment for Fixed-point data types |
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263 |
* @param value The non-floating point number to add |
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264 |
*/ |
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265 |
template <typename T> FixedT& operator +=(const T &value) |
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266 |
{ |
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267 |
Raw::m_data = Raw::m_data + (Tstorage)FixedHelperT<T>::Raw(value, Tdec_bits); |
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268 |
return *this; |
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269 |
} |
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270 |
|
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271 |
/** |
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272 |
* Subtract-assignment for Fixed-point data types |
f8302fbd236d
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273 |
* @param value The non-floating point number to subtract |
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*/ |
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template <typename T> FixedT& operator -=(const T &value) |
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{ |
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Raw::m_data = Raw::m_data - (Tstorage)FixedHelperT<T>::Raw(value, Tdec_bits); |
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return *this; |
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} |
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|
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/** |
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* Multiply-assignment for Fixed-point data types |
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* @param value The non-floating point number to multiply |
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*/ |
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template <typename T> FixedT& operator *=(const T &value) |
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{ |
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Raw::m_data = ((int64)Raw::m_data * (Tstorage)FixedHelperT<T>::Raw(value)) >> FixedHelperT<T>::dec_bits; |
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return *this; |
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} |
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|
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/** |
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* Divide-assignment for Fixed-point data types |
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* @param value The non-floating point number to use as divisor |
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*/ |
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template <typename T> FixedT& operator /=(const T &value) |
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{ |
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Raw::m_data = (Raw::m_data << FixedHelperT<T>::dec_bits) / (Tstorage)FixedHelperT<T>::Raw(value); |
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return *this; |
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} |
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|
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/** |
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* Unary minus operator |
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*/ |
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FixedT operator -() const { return Raw(-Raw::m_data); } |
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|
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/** |
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* Stream operator, used for floating point output |
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* @param os The stream we are going to write to |
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* @param value The Fixed-point variable we want to write in the stream |
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*/ |
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friend std::ostream& operator << (std::ostream &os, const FixedT &value) { os << (double)value.m_data / (1ULL << Raw::dec_bits); return os; } |
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}; |
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|
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/** The value of \f$\pi\f$ with ample precision for our computations */ |
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static const FixedT<int64, 16> PI(3141592, 1000000); |
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/** The number of elements used in Taylor approximations */ |
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static const int PRECISION = 5; |
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|
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/** |
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* Computes a integral, positive power of a FixedT. Uses an optimized algorithm |
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* to keep computational requirement at bay, by decomposing the power into powers |
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* of two itself. |
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* |
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* @param arg The number to compute the power for |
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* @param pow the power |
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* @return arg^pow |
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* @todo Add a nice LaTeX forumla to the documentation |
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* @todo Implement negative powers |
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*/ |
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template <typename Tstorage, int Tdec_bits> |
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FixedT<Tstorage, Tdec_bits> pow(const FixedT<Tstorage, Tdec_bits> &arg, int pow) |
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{ |
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FixedT<int64, Tdec_bits> temp = 1; |
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FixedT<int64, Tdec_bits> mul = arg; |
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if (pow == 0) return (FixedT<Tstorage, Tdec_bits>)1; |
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for (int i = 1; pow > 0; pow >>= 1, i <<= 1, mul *= mul) if (pow & 1) temp *= mul; |
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|
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return temp; |
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} |
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|
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/** |
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342 |
* Computes the n-th root of a number using an iterative scheme |
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* @param arg the number to compute the root from |
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* @param root The "n" in the n-th root |
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* @return the root |
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* @todo Abort not after a fixed number of iterations but dynamically by step size |
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* @todo Make some better first-guess. |
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*/ |
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template <typename Tstorage, int Tdec_bits> |
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FixedT<Tstorage, Tdec_bits> nroot(const FixedT<Tstorage, Tdec_bits> &arg, int root) |
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351 |
{ |
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FixedT<int64, 20> one = 1; |
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FixedT<int64, 20> guess(6, 5); |
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for (int i = 0; i < 150; i++) guess = (one / root) * ( guess * (root - 1) + arg / pow(guess, root - 1)); |
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355 |
|
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return guess; |
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} |
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|
358 |
|
9878
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|
359 |
/** |
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|
360 |
* Computes a single element of the Taylor series for the approximation of the cosine. |
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|
361 |
* A single element of the Taylor series computes as: |
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|
362 |
* \f[ |
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|
363 |
* \frac{(-1)^nx^{2n}}{(2n)!} |
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|
364 |
* \f] |
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|
365 |
* In order to prevent overflows, underflows and other nasty stuff, we do not compute |
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|
366 |
* the numerator and denominator separately in the formula but build a product of |
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|
367 |
* fractions: |
98be05df31ef
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|
368 |
* \f[ |
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|
369 |
* \frac{x}{2n} * \frac{x}{2n-1} * \frac{x}{2n-2} ... |
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|
370 |
* \f] |
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|
371 |
* @param arg The value of "x" in above formula |
98be05df31ef
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|
372 |
* @param pow The value of "2n" in above formula |
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|
373 |
* @return The value of the element of the Taylor series |
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|
374 |
*/ |
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|
375 |
template <typename Tstorage, int Tdec_bits> |
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376 |
FixedT<Tstorage, Tdec_bits> trigbase(const FixedT<Tstorage, Tdec_bits> &arg, int pow) |
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|
377 |
{ |
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|
378 |
/* Shortcut for the very first element */ |
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|
379 |
if (pow == 0) return (FixedT<Tstorage, Tdec_bits>)1; |
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changeset
|
380 |
|
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|
381 |
/* find out the (-1)^n part, element should be negative if n is non-even |
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|
382 |
* but "pow" already holds 2n, account for that |
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changeset
|
383 |
*/ |
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|
384 |
bool neg = ( (pow / 2) % 2 > 0); |
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changeset
|
385 |
|
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|
386 |
FixedT<Tstorage, Tdec_bits> element = arg / pow; |
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|
387 |
for (--pow; pow > 0; pow --) element *= arg / pow; |
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changeset
|
388 |
|
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|
389 |
return (neg) ? -element : element; |
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changeset
|
390 |
} |
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changeset
|
391 |
|
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|
392 |
/** |
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|
393 |
* Computes the cosine of an argument using a Taylor series. |
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|
394 |
* @param arg The number to compute the cosine from, assumes arg to be in radians. |
9887
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|
395 |
* @return The cosine |
9878
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|
396 |
* @todo Optimize the two while loops. |
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|
397 |
* @note It is possible to factor out the series to optimize even further, but is it |
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|
398 |
* worth the effort? It could reduce the opcount a little. |
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|
399 |
* @see trigbase, PRECISION |
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|
400 |
*/ |
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|
401 |
template <typename Tstorage, int Tdec_bits> |
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402 |
FixedT<Tstorage, Tdec_bits> cos(const FixedT<Tstorage, Tdec_bits> &arg) |
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|
403 |
{ |
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|
404 |
FixedT<Tstorage, Tdec_bits> l_arg = arg; |
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|
405 |
FixedT<Tstorage, Tdec_bits> cosine = 0; |
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|
406 |
|
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|
407 |
/* We've got to adjust the argument around zero, otherwise we will need |
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|
408 |
* (literally) hundreds of elements |
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changeset
|
409 |
*/ |
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|
410 |
while (l_arg < -PI) l_arg += PI * 2; |
98be05df31ef
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|
411 |
while (l_arg > PI) l_arg -= PI * 2; |
98be05df31ef
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changeset
|
412 |
|
98be05df31ef
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|
413 |
/* sum up the Taylor elements */ |
98be05df31ef
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|
414 |
for(int i = 0; i < PRECISION; i++) cosine += trigbase(l_arg, 2 * i); |
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changeset
|
415 |
|
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|
416 |
return cosine; |
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changeset
|
417 |
} |
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changeset
|
418 |
|
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changeset
|
419 |
/** |
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|
420 |
* Computes the sine of an argument using a Taylor series, uses the cosine |
98be05df31ef
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|
421 |
* computation in fact, as \f$sin(x) = cos(x - \frac{\pi}{2}))\f$ |
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|
422 |
* @param arg The number to compute the cosine from, assumes arg to be in radians. |
9887
3d32aa4ae67c
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|
423 |
* @return The sine |
9878
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changeset
|
424 |
*/ |
98be05df31ef
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|
425 |
template <typename Tstorage, int Tdec_bits> |
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|
426 |
FixedT<Tstorage, Tdec_bits> sin(const FixedT<Tstorage, Tdec_bits> &arg) |
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changeset
|
427 |
{ |
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|
428 |
return cos(arg - PI / 2); |
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changeset
|
429 |
} |
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changeset
|
430 |