WebSVN – gelsvn – Diff – /branches/cpp11-devel/src/CGLA/CGLA.h


/* ----------------------------------------------------------------------- *
 * This file is part of GEL, http://www.imm.dtu.dk/GEL
 * Copyright (C) the authors and DTU Informatics
 * For license and list of authors, see ../../doc/intro.pdf
 * ----------------------------------------------------------------------- */
 
/** @file CGLA.h
 * @brief CGLA main header: contains a number of constants and function decs.
 */
 
#ifndef __CGLA_CGLA_H__
#define __CGLA_CGLA_H__
 
#if (_MSC_VER >= 1200)
#pragma warning (disable: 4244 4800)
#endif
 
#include <cmath>
#include <cfloat>
#include <climits>
#include <cassert>
#include <algorithm>
#include <functional>
 
#ifndef M_PI
#define M_PI 3.14159265358979323846
#define M_PI_2 1.57079632679489661923
#endif
 
#ifndef DEGREES_TO_RADIANS
#define DEGREES_TO_RADIANS (M_PI / 180.0)
#endif
 
namespace CGLA 
{
		inline float cgla_nan() 
		{
				static const float cgla_nan_value = log(-1.0f);
				return cgla_nan_value;
		}
		
  /** Procedural definition of NAN */  
#define CGLA_NAN cgla_nan()
 
  /** NAN is used for initialization of vectors and matrices
      in debug mode */
#define CGLA_INIT_VALUE cgla_nan()
 
  /** Numerical constant representing something large.
      value is a bit arbitrary */
  const double BIG=10e+30;
 
  /** Numerical constant represents something extremely small.
      value is a bit arbitrary */
  const double MINUTE=10e-30;
 
  /** Numerical constant represents something very small.
      value is a bit arbitrary */
  const double TINY=3e-7;
	
  /** Numerical constant represents something small.
      value is a bit arbitrary */
  const double SMALL=10e-2;
 
  /** The GEL pseudo-random number generator uses
      UINT_MAX as RAND_MAX to avoid mod operations. */
  const unsigned int GEL_RAND_MAX=UINT_MAX;
 
		inline double sqrt3()
		{
				static const double sqrt3_val = sqrt(3.0);
				return sqrt3_val;
		}
 
#define SQRT3 sqrt3()
 
  /// Useful enum that represents coordiante axes.
  enum Axis {XAXIS=0,YAXIS=1,ZAXIS=2};
 
  inline bool isnan(double x) { return x != x; }
 
  template<class Scalar>
  Scalar s_min(Scalar a, Scalar b)
  {
    return a<b ? a : b;
  }
 
  template<class Scalar>
  Scalar s_max(Scalar a, Scalar b)
  {
    return a>b ? a : b;
  }
 
  /// Template for a function that squares the argument.
  template <class Scalar>
  inline Scalar sqr(Scalar x) {///
    return x*x;}
	
  /// Scalar template for a function that returns the cube of the argument.
  template <class Scalar>
  inline Scalar qbe(Scalar x) {///
    return x*x*x;}
 
  template <class Scalar>
  inline bool is_zero(Scalar x)	{return (x > -MINUTE && x < MINUTE);}
 
  template <class Scalar>
  inline bool is_tiny(Scalar x)	{return (x > -TINY && x < TINY);}
 
  /** What power of 2 ?. if x is the argument, find the largest 
      y so that 2^y <= x */
  inline int two_to_what_power(unsigned int x) 
  {
    if (x<1) 
      return -1;
    int i = 0;
    while (x != 1) {x>>=1;i++;}
    return i;
  }
 
#ifdef __sgi
  inline int round(float x) {return int(rint(x));}
#else
  inline int round(float x) {return int(x+0.5);}
#endif
 
  template<class T>
  inline T sign(T x) {return x>=T(0) ? 1 : -1;}
 
  /// Integer power function with O(log(n)) complexity
  template<class T>
  inline T int_pow(T a, unsigned int n)
  {
    T result = static_cast<T>(1);
    for(; n > 0; n >>= 1)
    {
      if(n & 1) result = result*a;
      a *= a;
    }
    return result;
  }
  
  /// Function that seeds the GEL pseudo-random number generator
  void gel_srand(unsigned int seed);
 
  /** GEL provides a linear congruential pseudo-random number 
      generator which is optimized for speed. This version allows 
      an integer argument which is useful for grid-based noise
      functions. */
  unsigned int gel_rand(unsigned int k);
 
  /** GEL provides a linear congruential pseudo-random number 
      generator which is optimized for speed. This means
      that GEL_RAND_MAX==UINT_MAX. */
  unsigned int gel_rand();
 
	/** raw_assign takes a CGLA vector, matrix or whatever has a get() function
			as its first argument and a raw pointer to a (presumed scalar) entity 
			as the second argument. the contents dereferenced by the pointer is 
			copied to the entity given as first argument. */
  template<class T, class S>
  void raw_assign(T& a,  const S* b)
  {
    memcpy(static_cast<void*>(a.get()),static_cast<const void*>(b),sizeof(T));
  }
	
}
 
#endif
 

Rev 624	Rev 630
1	`/* ----------------------------------------------------------------------- *`	1	`/* ----------------------------------------------------------------------- *`
2	`* This file is part of GEL, http://www.imm.dtu.dk/GEL`	2	`* This file is part of GEL, http://www.imm.dtu.dk/GEL`
3	`* Copyright (C) the authors and DTU Informatics`	3	`* Copyright (C) the authors and DTU Informatics`
4	`* For license and list of authors, see ../../doc/intro.pdf`	4	`* For license and list of authors, see ../../doc/intro.pdf`
5	`* ----------------------------------------------------------------------- */`	5	`* ----------------------------------------------------------------------- */`
6		6
7	`/** @file CGLA.h`	7	`/** @file CGLA.h`
8	`* @brief CGLA main header: contains a number of constants and function decs.`	8	`* @brief CGLA main header: contains a number of constants and function decs.`
9	`*/`	9	`*/`
10		10
11	`#ifndef __CGLA_CGLA_H__`	11	`#ifndef __CGLA_CGLA_H__`
12	`#define __CGLA_CGLA_H__`	12	`#define __CGLA_CGLA_H__`
13		13
14	`#if (_MSC_VER >= 1200)`	14	`#if (_MSC_VER >= 1200)`
15	`#pragma warning (disable: 4244 4800)`	15	`#pragma warning (disable: 4244 4800)`
16	`#endif`	16	`#endif`
17		17
18	`#include <cmath>`	18	`#include <cmath>`
19	`#include <cfloat>`	19	`#include <cfloat>`
20	`#include <climits>`	20	`#include <climits>`
21	`#include <cassert>`	21	`#include <cassert>`
22	`#include <algorithm>`	22	`#include <algorithm>`
23	`#include <functional>`	23	`#include <functional>`
24		24
25	`#ifndef M_PI`	25	`#ifndef M_PI`
26	`#define M_PI 3.14159265358979323846`	26	`#define M_PI 3.14159265358979323846`
27	`#define M_PI_2 1.57079632679489661923`	27	`#define M_PI_2 1.57079632679489661923`
28	`#endif`	28	`#endif`
29		29
30	`#ifndef DEGREES_TO_RADIANS`	30	`#ifndef DEGREES_TO_RADIANS`
31	`#define DEGREES_TO_RADIANS (M_PI / 180.0)`	31	`#define DEGREES_TO_RADIANS (M_PI / 180.0)`
32	`#endif`	32	`#endif`
33		33
34	`namespace CGLA`	34	`namespace CGLA`
35	`{`	35	`{`
36	`inline float cgla_nan()`	36	`inline float cgla_nan()`
37	`{`	37	`{`
38	`static const float cgla_nan_value = log(-1.0f);`	38	`static const float cgla_nan_value = log(-1.0f);`
39	`return cgla_nan_value;`	39	`return cgla_nan_value;`
40	`}`	40	`}`
41		41
42	`/** Procedural definition of NAN */`	42	`/** Procedural definition of NAN */`
43	`#define CGLA_NAN cgla_nan()`	43	`#define CGLA_NAN cgla_nan()`
44		44
45	`/** NAN is used for initialization of vectors and matrices`	45	`/** NAN is used for initialization of vectors and matrices`
46	`in debug mode */`	46	`in debug mode */`
47	`#define CGLA_INIT_VALUE cgla_nan()`	47	`#define CGLA_INIT_VALUE cgla_nan()`
48		48
49	`/** Numerical constant representing something large.`	49	`/** Numerical constant representing something large.`
50	`value is a bit arbitrary */`	50	`value is a bit arbitrary */`
51	`const double BIG=10e+30;`	51	`const double BIG=10e+30;`
52		52
53	`/** Numerical constant represents something extremely small.`	53	`/** Numerical constant represents something extremely small.`
54	`value is a bit arbitrary */`	54	`value is a bit arbitrary */`
55	`const double MINUTE=10e-30;`	55	`const double MINUTE=10e-30;`
56		56
57	`/** Numerical constant represents something very small.`	57	`/** Numerical constant represents something very small.`
58	`value is a bit arbitrary */`	58	`value is a bit arbitrary */`
59	`const double TINY=3e-7;`	59	`const double TINY=3e-7;`
60		60
61	`/** Numerical constant represents something small.`	61	`/** Numerical constant represents something small.`
62	`value is a bit arbitrary */`	62	`value is a bit arbitrary */`
63	`const double SMALL=10e-2;`	63	`const double SMALL=10e-2;`
64		64
65	`/** The GEL pseudo-random number generator uses`	65	`/** The GEL pseudo-random number generator uses`
66	`UINT_MAX as RAND_MAX to avoid mod operations. */`	66	`UINT_MAX as RAND_MAX to avoid mod operations. */`
67	`const unsigned int GEL_RAND_MAX=UINT_MAX;`	67	`const unsigned int GEL_RAND_MAX=UINT_MAX;`
68		68
69	`inline double sqrt3()`	69	`inline double sqrt3()`
70	`{`	70	`{`
71	`static const double sqrt3_val = sqrt(3.0);`	71	`static const double sqrt3_val = sqrt(3.0);`
72	`return sqrt3_val;`	72	`return sqrt3_val;`
73	`}`	73	`}`
74		74
75	`#define SQRT3 sqrt3()`	75	`#define SQRT3 sqrt3()`
76		76
77	`/// Useful enum that represents coordiante axes.`	77	`/// Useful enum that represents coordiante axes.`
78	`enum Axis {XAXIS=0,YAXIS=1,ZAXIS=2};`	78	`enum Axis {XAXIS=0,YAXIS=1,ZAXIS=2};`
79		79
80	`inline bool isnan(double x) { return x != x; }`	80	`inline bool isnan(double x) { return x != x; }`
81		81
82	`template<class Scalar>`	82	`template<class Scalar>`
83	`Scalar s_min(Scalar a, Scalar b)`	83	`Scalar s_min(Scalar a, Scalar b)`
84	`{`	84	`{`
85	`return a<b ? a : b;`	85	`return a<b ? a : b;`
86	`}`	86	`}`
87		87
88	`template<class Scalar>`	88	`template<class Scalar>`
89	`Scalar s_max(Scalar a, Scalar b)`	89	`Scalar s_max(Scalar a, Scalar b)`
90	`{`	90	`{`
91	`return a>b ? a : b;`	91	`return a>b ? a : b;`
92	`}`	92	`}`
93		93
94	`/// Template for a function that squares the argument.`	94	`/// Template for a function that squares the argument.`
95	`template <class Scalar>`	95	`template <class Scalar>`
96	`inline Scalar sqr(Scalar x) {///`	96	`inline Scalar sqr(Scalar x) {///`
97	`return x*x;}`	97	`return x*x;}`
98		98
99	`/// Scalar template for a function that returns the cube of the argument.`	99	`/// Scalar template for a function that returns the cube of the argument.`
100	`template <class Scalar>`	100	`template <class Scalar>`
101	`inline Scalar qbe(Scalar x) {///`	101	`inline Scalar qbe(Scalar x) {///`
102	`return xxx;}`	102	`return xxx;}`
103		103
104	`template <class Scalar>`	104	`template <class Scalar>`
105	`inline bool is_zero(Scalar x) {return (x > -MINUTE && x < MINUTE);}`	105	`inline bool is_zero(Scalar x) {return (x > -MINUTE && x < MINUTE);}`
106		106
107	`template <class Scalar>`	107	`template <class Scalar>`
108	`inline bool is_tiny(Scalar x) {return (x > -TINY && x < TINY);}`	108	`inline bool is_tiny(Scalar x) {return (x > -TINY && x < TINY);}`
109		109
110	`/** What power of 2 ?. if x is the argument, find the largest`	110	`/** What power of 2 ?. if x is the argument, find the largest`
111	`y so that 2^y <= x */`	111	`y so that 2^y <= x */`
112	`inline int two_to_what_power(unsigned int x)`	112	`inline int two_to_what_power(unsigned int x)`
113	`{`	113	`{`
114	`if (x<1)`	114	`if (x<1)`
115	`return -1;`	115	`return -1;`
116	`int i = 0;`	116	`int i = 0;`
117	`while (x != 1) {x>>=1;i++;}`	117	`while (x != 1) {x>>=1;i++;}`
118	`return i;`	118	`return i;`
119	`}`	119	`}`
120		120
121	`#ifdef __sgi`	121	`#ifdef __sgi`
122	`inline int round(float x) {return int(rint(x));}`	122	`inline int round(float x) {return int(rint(x));}`
123	`#else`	123	`#else`
124	`inline int round(float x) {return int(x+0.5);}`	124	`inline int round(float x) {return int(x+0.5);}`
125	`#endif`	125	`#endif`
126		126
127	`template<class T>`	127	`template<class T>`
128	`inline T sign(T x) {return x>=T(0) ? 1 : -1;}`	128	`inline T sign(T x) {return x>=T(0) ? 1 : -1;}`
129		129
130	`/// Integer power function with O(log(n)) complexity`	130	`/// Integer power function with O(log(n)) complexity`
131	`template<class T>`	131	`template<class T>`
132	`inline T int_pow(T a, unsigned int n)`	132	`inline T int_pow(T a, unsigned int n)`
133	`{`	133	`{`
134	`T result = static_cast<T>(1);`	134	`T result = static_cast<T>(1);`
135	`for(; n > 0; n >>= 1)`	135	`for(; n > 0; n >>= 1)`
136	`{`	136	`{`
137	`if(n & 1) result = result*a;`	137	`if(n & 1) result = result*a;`
138	`a *= a;`	138	`a *= a;`
139	`}`	139	`}`
140	`return result;`	140	`return result;`
141	`}`	141	`}`
142		142
143	`/// Function that seeds the GEL pseudo-random number generator`	143	`/// Function that seeds the GEL pseudo-random number generator`
144	`void gel_srand(unsigned int seed);`	144	`void gel_srand(unsigned int seed);`
145		145
146	`/** GEL provides a linear congruential pseudo-random number`	146	`/** GEL provides a linear congruential pseudo-random number`
147	`generator which is optimized for speed. This version allows`	147	`generator which is optimized for speed. This version allows`
148	`an integer argument which is useful for grid-based noise`	148	`an integer argument which is useful for grid-based noise`
149	`functions. */`	149	`functions. */`
150	`unsigned int gel_rand(unsigned int k);`	150	`unsigned int gel_rand(unsigned int k);`
151		151
152	`/** GEL provides a linear congruential pseudo-random number`	152	`/** GEL provides a linear congruential pseudo-random number`
153	`generator which is optimized for speed. This means`	153	`generator which is optimized for speed. This means`
154	`that GEL_RAND_MAX==UINT_MAX. */`	154	`that GEL_RAND_MAX==UINT_MAX. */`
155	`unsigned int gel_rand();`	155	`unsigned int gel_rand();`
156		156
157	`/** raw_assign takes a CGLA vector, matrix or whatever has a get() function`	157	`/** raw_assign takes a CGLA vector, matrix or whatever has a get() function`
158	`as its first argument and a raw pointer to a (presumed scalar) entity`	158	`as its first argument and a raw pointer to a (presumed scalar) entity`
159	`as the second argument. the contents dereferenced by the pointer is`	159	`as the second argument. the contents dereferenced by the pointer is`
160	`copied to the entity given as first argument. */`	160	`copied to the entity given as first argument. */`
161	`template<class T, class S>`	161	`template<class T, class S>`
162	`void raw_assign(T& a, const S* b)`	162	`void raw_assign(T& a, const S* b)`
163	`{`	163	`{`
164	`memcpy(static_cast<void>(a.get()),static_cast<const void>(b),sizeof(T));`	164	`memcpy(static_cast<void>(a.get()),static_cast<const void>(b),sizeof(T));`
165	`}`	165	`}`
166		166
167	`}`	167	`}`
168		168
169	`#endif`	169	`#endif`
170		170

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