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gml_Math.h File Reference
Detailed Description
Overloaded and optimized math functions.Probably no performance improvement will occur if inlining is disabled.
#include <math.h>
#include <assert.h>
#include <stdlib.h>
#include "gml/base/gml_Types.h"
Go to the source code of this file.
Classes | |
| union | UInt64_union |
Overloaded mathematical functions. | |
| Standard C library mathematical functions, overloaded to accept any precision. | |
| Float32 | Cos (Float32 a) |
| Float64 | Cos (Float64 a) |
| Float32 | Acos (Float32 a) |
| Float64 | Acos (Float64 a) |
| Float32 | Sin (Float32 a) |
| Float64 | Sin (Float64 a) |
| Float32 | Asin (Float32 a) |
| Float64 | Asin (Float64 a) |
| Float32 | Tan (Float32 a) |
| Float64 | Tan (Float64 a) |
| Float32 | Atan (Float32 a) |
| Float64 | Atan (Float64 a) |
| Float32 | Atan2 (Float32 y, Float32 x) |
| Float64 | Atan2 (Float64 y, Float64 x) |
| Float32 | Hypot (Float32 y, Float32 x) |
| Float64 | Hypot (Float64 y, Float64 x) |
| Float32 | Exp (Float32 a) |
| Float64 | Exp (Float64 a) |
| Float32 | Exp2 (Float32 a) |
| Float64 | Exp2 (Float64 a) |
| UInt8 | Abs (SInt8 a) |
| UInt16 | Abs (SInt16 a) |
| UInt32 | Abs (SInt32 a) |
| UInt64 | Abs (SInt64 a) |
| Float32 | Abs (Float32 a) |
| Float64 | Abs (Float64 a) |
| Float32 | Sqrt (Float32 a) |
| Float64 | Sqrt (Float64 a) |
| Float32 | Cbrt (Float32 a) |
| Float64 | Cbrt (Float64 a) |
| Float32 | Log1p (Float32 a) |
| Float64 | Log1p (Float64 a) |
| Float32 | Log (Float32 a) |
| Float64 | Log (Float64 a) |
| UInt8 | Log2 (UInt32 a) |
| Count the digits in a. | |
Not A Number functions | |
| Generate and check NaNs. | |
| void | Nan (Float32 &a) |
| void | Nan (Float64 &a) |
| int | Isnan (Float32 a) |
| int | Isnan (Float64 a) |
Optimized selection functions | |
| Select() is equivalent to: (a < b) ? alt1 : alt2 Whenever possible, Select() is implemented without branching. | |
| UInt8 | Select (UInt8 a, UInt8 b, UInt8 alt1, UInt8 alt2) |
| SInt8 | Select (SInt8 a, SInt8 b, SInt8 alt1, SInt8 alt2) |
| UInt16 | Select (UInt16 a, UInt16 b, UInt16 alt1, UInt16 alt2) |
| SInt16 | Select (SInt16 a, SInt16 b, SInt16 alt1, SInt16 alt2) |
| UInt32 | Select (UInt32 a, UInt32 b, UInt32 alt1, UInt32 alt2) |
| SInt32 | Select (SInt32 a, SInt32 b, SInt32 alt1, SInt32 alt2) |
| UInt64 | Select (UInt64 a, UInt64 b, UInt64 alt1, UInt64 alt2) |
| SInt64 | Select (SInt64 a, SInt64 b, SInt64 alt1, SInt64 alt2) |
| Float32 | Select (Float32 a, Float32 b, Float32 alt1, Float32 alt2) |
| Float64 | Select (Float64 a, Float64 b, Float64 alt1, Float64 alt2) |
Fast minimum, maximum, clamping and clipping functions | |
| These functions use the optimized Select() flavours above to acheive performance. They work with any integer or floating-point type. | |
| template<typename T> | |
| T | Min (T n, T p) |
| template<typename T> | |
| T | Max (T n, T p) |
| template<typename T> | |
| T | Min (T a, T b, T c) |
| template<typename T> | |
| T | Max (T a, T b, T c) |
| template<typename T> | |
| T | Clamp (T v, T min, T max) |
| template<typename T> | |
| T | Clip (T v, T min, T max) |
Rounding | |
| UInt32 | LFloor (Float32 a) |
| UInt32 | LFloor (Float64 a) |
| SInt32 | LRound (Float32 d) |
| Float32 | Floor (Float32 a) |
| Float64 | Floor (Float64 a) |
| Float32 | Ceil (Float32 a) |
| Float64 | Ceil (Float64 a) |
Euclidian vector norm | |
| UInt32 | Norm (UInt32 a, UInt32 b) |
| Float32 | Norm (Float32 a, Float32 b) |
| UInt32 | Norm (UInt32 a1, UInt32 b1, UInt32 a2, UInt32 b2) |
| Float32 | Norm (Float32 a1, Float32 b1, Float32 a2, Float32 b2) |
Square function | |
| UInt32 | Sqr (SInt32 a) |
| UInt32 | Sqr (UInt32 a) |
| Float32 | Sqr (Float32 a) |
| Float64 | Sqr (Float64 a) |
Fast bit shifting | |
| template<typename T> | |
| T | ShiftLeft (T const integer, SInt8 const offset) |
| Shift integer left by a signed offset: if negative, a right shift is applied. If offset is a compile-time constant, no branch should be generated by your compiler -- it should actually only output one assembly instruction. | |
| template<typename T> | |
| T | ShiftRight (T const integer, SInt8 const offset) |
| Shift integer right by a signed offset: if negative, a left shift is applied. If offset is a compile-time constant, no branch should be generated by your compiler -- it should actually only output one assembly instruction. | |
| UInt64 | ShiftLeft (UInt64 const integer, UInt8 const s) |
| Fast, Select()-based bit shifting for 64-bit integers on 32-bit machines. | |
| UInt64 | ShiftRight (UInt64 const integer, UInt8 const s) |
| Fast, Select()-based bit shifting for 64-bit integers on 32-bit machines. | |
Functions | |
| Float32 | Divide (Float32 x, Float32 y) |
| Floating-point division. | |
| UInt32 | Average (UInt32 a, UInt32 b, UInt32 c) |
| Average of three integers. | |
| UInt16 | Sqrt (UInt32 a) |
| Integer square root. | |
| template<typename T> | |
| T | Select (T a, T b, T alt1, T alt2) |
| Float32 | Sqrtr (Float32 a) |
| Float64 | Sqrtr (Float64 a) |
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