WebSVN – gelsvn – Diff – /trunk/src/CGLA/ArithVec.h


#ifndef __CGLA_ARITHVEC_H__
#define __CGLA_ARITHVEC_H__
 
#include <iostream>
#include "CGLA.h"
 
#include <numeric>
 
namespace CGLA 
{
 
  /** The ArithVec class template represents a generic arithmetic
      vector.  The three parameters to the template are
 
      T - the scalar type (i.e. float, int, double etc.)
 
      V - the name of the vector type. This template is always (and
      only) used as ancestor of concrete types, and the name of the
      class _inheriting_ _from_ this class is used as the V argument.
 
      N - The final argument is the dimension N. For instance, N=3 for a
      3D vector.
 
      This class template contains all functions that are assumed to be
      the same for any arithmetic vector - regardless of dimension or
      the type of scalars used for coordinates.
 
      The template contains no virtual functions which is important
      since they add overhead.
  */
 
  template <class T, class V, int N> 
    class ArithVec
    {
 
 
    protected:
 
      /// The actual contents of the vector.
      T data[N];
 
    protected:
 
      //----------------------------------------------------------------------
      // Constructors
      //----------------------------------------------------------------------
 
      /// Construct uninitialized vector
      ArithVec() 
	{
	}
 
      /// Construct a vector where all coordinates are identical
      explicit ArithVec(T _a)
	{
	  std::fill_n(data, N, _a);
	}
 
      /// Construct a 2D vector 
      ArithVec(T _a, T _b)
	{
	  assert(N==2);
	  data[0] = _a;
	  data[1] = _b;
	}
 
      /// Construct a 3D vector
      ArithVec(T _a, T _b, T _c)
	{
	  assert(N==3);
	  data[0] = _a;
	  data[1] = _b;
	  data[2] = _c;
	}
 
      /// Construct a 4D vector
      ArithVec(T _a, T _b, T _c, T _d)
	{
	  assert(N==4);
	  data[0] = _a;
	  data[1] = _b;
	  data[2] = _c;
	  data[3] = _d;
	}
 
 
    public:
 
      /// For convenience we define a more meaningful name for the scalar type
      typedef T ScalarType;
	
      /// A more meaningful name for vector type
      typedef V VectorType;
 
      /// Return dimension of vector
      static int get_dim() {return N;}
	
      /// Set all coordinates of a 2D vector.
      void set(T _a, T _b)
	{
	  assert(N==2);
	  data[0] = _a;
	  data[1] = _b;
	}
 
      /// Set all coordinates of a 3D vector.
      void set(T _a, T _b, T _c)
	{
	  assert(N==3);
	  data[0] = _a;
	  data[1] = _b;
	  data[2] = _c;
	}
 
      /// Set all coordinates of a 4D vector.
      void set(T _a, T _b, T _c, T _d)
	{
	  assert(N==4);
	  data[0] = _a;
	  data[1] = _b;
	  data[2] = _c;
	  data[3] = _d;
	}
 
      /// Const index operator
      const T& operator [] ( int i ) const
	{
	  assert(i<N);
	  return data[i];
	}
 
      /// Non-const index operator
      T& operator [] ( int i ) 
	{
	  assert(i<N);
	  return data[i];
	}
 
      /** Get a pointer to first element in data array.
	  This function may be useful when interfacing with some other API 
	  such as OpenGL (TM) */
      T* get() {return &data[0];}
 
      /** Get a const pointer to first element in data array.
	  This function may be useful when interfacing with some other API 
	  such as OpenGL (TM). */
      const T* get() const {return &data[0];}
 
      //----------------------------------------------------------------------
      // Comparison operators
      //----------------------------------------------------------------------
 
      /// Equality operator
      bool operator==(const V& v) const 
	{
	  return std::inner_product(data, &data[N], v.get(), true,
				    std::logical_and<bool>(), std::equal_to<T>());
	}
 
#define for_all_i(expr) for(int i=0;i<N;i++) {expr;}
      /// Equality wrt scalar. True if all coords are equal to scalar
      bool operator==(T k) const 
	{ 
	  for_all_i(if (data[i] != k) return false)
	    return true;
	}
#undef for_all_i  
 
      /// Inequality operator
      bool operator!=(const V& v) const 
	{
	  return std::inner_product(data, &data[N], v.get(), false,
				    std::logical_or<bool>(), std::not_equal_to<T>());
	}
 
      /// Inequality wrt scalar. True if any coord not equal to scalar
      bool operator!=(T k) const 
	{ 
	  return !(*this==k);
	}
 
 
      //----------------------------------------------------------------------
      // Comparison functions ... of geometric significance 
      //----------------------------------------------------------------------
 
      /** Compare all coordinates against other vector. ( < )
	  Similar to testing whether we are on one side of three planes. */
      bool  all_l  (const V& v) const
	{
	  return std::inner_product(data, &data[N], v.get(), true, 
				    std::logical_and<bool>(), std::less<T>());
	}
 
      /** Compare all coordinates against other vector. ( <= )
	  Similar to testing whether we are on one side of three planes. */
      bool  all_le (const V& v) const
	{
	  return std::inner_product(data, &data[N], v.get(), true, 
				    std::logical_and<bool>(), std::less_equal<T>());
	}
 
      /** Compare all coordinates against other vector. ( > )
	  Similar to testing whether we are on one side of three planes. */
      bool  all_g  (const V& v) const
	{
	  return std::inner_product(data, &data[N], v.get(), true, 
				    std::logical_and<bool>(), std::greater<T>());
	}
 
      /** Compare all coordinates against other vector. ( >= )
	  Similar to testing whether we are on one side of three planes. */
      bool  all_ge (const V& v) const
	{
	  return std::inner_product(data, &data[N], v.get(), true, 
				    std::logical_and<bool>(), std::greater_equal<T>());
	}
 
 
      //----------------------------------------------------------------------
      // Assignment operators
      //----------------------------------------------------------------------
 
      /// Assignment multiplication with scalar.
      const V& operator *=(T k) 
	{ 
	  std::transform(data, &data[N], data, std::bind2nd(std::multiplies<T>(), k));
	  return static_cast<const V&>(*this);
	}
 
      /// Assignment division with scalar.
      const V& operator /=(T k)
	{ 
	  std::transform(data, &data[N], data, std::bind2nd(std::divides<T>(), k));
	  return static_cast<const V&>(*this);
	}
 
      /// Assignment addition with scalar. Adds scalar to each coordinate.
      const V& operator +=(T k) 
	{
	  std::transform(data, &data[N], data, std::bind2nd(std::plus<T>(), k));
	  return  static_cast<const V&>(*this);
	}
 
      /// Assignment subtraction with scalar. Subtracts scalar from each coord.
      const V& operator -=(T k) 
	{ 
	  std::transform(data, &data[N], data, std::bind2nd(std::minus<T>(), k));
	  return  static_cast<const V&>(*this);
	}
 
      /** Assignment multiplication with vector. 
	  Multiply each coord independently. */
      const V& operator *=(const V& v) 
	{ 
	  std::transform(data, &data[N], v.get(), data, std::multiplies<T>());
	  return  static_cast<const V&>(*this);
	}
 
      /// Assigment division with vector. Each coord divided independently.
      const V& operator /=(const V& v)
	{
	  std::transform(data, &data[N], v.get(), data, std::divides<T>());
	  return  static_cast<const V&>(*this);
	}
 
      /// Assignmment addition with vector.
      const V& operator +=(const V& v) 
	{
	  std::transform(data, &data[N], v.get(), data, std::plus<T>());
	  return  static_cast<const V&>(*this);
	}
		
      /// Assignment subtraction with vector.
      const V& operator -=(const V& v) 
	{ 
	  std::transform(data, &data[N], v.get(), data, std::minus<T>());
	  return  static_cast<const V&>(*this);
	}
 
 
      //----------------------------------------------------------------------
      // Unary operators on vectors
      //----------------------------------------------------------------------
 
      /// Negate vector.
      const V operator - () const
	{
	  V v_new;
	  std::transform(data, &data[N], v_new.get(), std::negate<T>());
	  return v_new;
	}
 
      //----------------------------------------------------------------------
      // Binary operators on vectors
      //----------------------------------------------------------------------
 
      /** Multiply vector with vector. Each coord multiplied independently
	  Do not confuse this operation with dot product. */
      const V operator * (const V& v1) const
	{
	  V v_new;
	  std::transform(data, &data[N], v1.get(), v_new.get(), std::multiplies<T>());
	  return v_new;
	}
 
      /// Add two vectors
      const V operator + (const V& v1) const
	{
	  V v_new;
	  std::transform(data, &data[N], v1.get(), v_new.get(), std::plus<T>());
	  return v_new;
	}
 
      /// Subtract two vectors. 
      const V operator - (const V& v1) const
	{
	  V v_new;
	  std::transform(data, &data[N], v1.get(), v_new.get(), std::minus<T>());
	  return v_new;
	}
 
      /// Divide two vectors. Each coord separately
      const V operator / (const V& v1) const
	{
	  V v_new;
	  std::transform(data, &data[N], v1.get(), v_new.get(), std::divides<T>());
	  return v_new;
	}
 
      //----------------------------------------------------------------------
      // Binary operators on vector and scalar
      //----------------------------------------------------------------------
 
      /// Multiply scalar onto vector.
      const V operator * (T k) const
	{
	  V v_new;
	  std::transform(data, &data[N], v_new.get(), std::bind2nd(std::multiplies<T>(), k));
	  return v_new;
	}
  
 
      /// Divide vector by scalar.
      const V operator / (T k) const
	{
	  V v_new;
	  std::transform(data, &data[N], v_new.get(), std::bind2nd(std::divides<T>(), k));
	  return v_new;      
	}
 
 
      /// Return the smallest coordinate of the vector
      const T min_coord() const 
	{
 
	  return *std::min_element(data, &data[N]);
 
	}
 
      /// Return the largest coordinate of the vector
      const T max_coord() const
	{
 
	  return *std::max_element(data, &data[N]);
 
	}
 
 
    };
 
  template <class T, class V, int N> 
    inline std::ostream& operator<<(std::ostream&os, const ArithVec<T,V,N>& v)
    {
      os << "[ ";
      for(int i=0;i<N;i++) os << v[i] << " ";
      os << "]";
      return os;
    }
 
  /// Get from operator for ArithVec descendants. 
  template <class T,class V, int N>
    inline std::istream& operator>>(std::istream&is, ArithVec<T,V,N>& v)
    {
      for(int i=0;i<N;i++) is>>v[i];
      return is;
    }
 
 
  /** Dot product for two vectors. The `*' operator is 
      reserved for coordinatewise	multiplication of vectors. */
  template <class T,class V, int N>
    inline T dot(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)
    {
 
      return std::inner_product(v0.get(), v0.get() + N, v1.get(), T(0));
 
    }
 
  /** Compute the sqr length by taking dot product of vector with itself. */
  template <class T,class V, int N>
    inline T sqr_length(const ArithVec<T,V,N>& v)
    {
      return dot(v,v);
    }
 
  /** Multiply double onto vector. This operator handles the case 
      where the vector is on the righ side of the `*'.
	 
      \note It seems to be optimal to put the binary operators inside the
      ArithVec class template, but the operator functions whose 
      left operand is _not_ a vector cannot be inside, hence they
      are here.
      We need three operators for scalar * vector although they are
      identical, because, if we use a separate template argument for
      the left operand, it will match any type. If we use just T as 
      type for the left operand hoping that other built-in types will
      be automatically converted, we will be disappointed. It seems that 
      a float * ArithVec<float,Vec3f,3> function is not found if the
      left operand is really a double.
  */
 
  template<class T, class V, int N>
    inline const V operator * (double k, const ArithVec<T,V,N>& v) 
    {
      return v * k;
    }
 
  /** Multiply float onto vector. See the note in the documentation
      regarding multiplication of a double onto a vector. */
  template<class T, class V, int N>
    inline const V operator * (float k, const ArithVec<T,V,N>& v) 
    {
      return v * k;
    }
 
  /** Multiply int onto vector. See the note in the documentation
      regarding multiplication of a double onto a vector. */
  template<class T, class V, int N>
    inline const V operator * (int k, const ArithVec<T,V,N>& v) 
    {
      return v * k;
    }
 
  /** Returns the vector containing for each coordinate the smallest
      value from two vectors. */
  template <class T,class V, int N>
    inline V v_min(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)
    {
      V v;
      std::transform(v0.get(), v0.get() + N, v1.get(), v.get(), std::ptr_fun(s_min<T>));
 
      return v;
    }
 
  /** Returns the vector containing for each coordinate the largest 
      value from two vectors. */
  template <class T,class V, int N>
    inline V v_max(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)
    {
      V v;
      std::transform(v0.get(), v0.get() + N, v1.get(), v.get(), std::ptr_fun(s_max<T>));
 
      return v;
    }
 
 
}
 
#endif
 

Rev 12	Rev 43
1	`#ifndef __CGLA_ARITHVEC_H__`	1	`#ifndef __CGLA_ARITHVEC_H__`
2	`#define __CGLA_ARITHVEC_H__`	2	`#define __CGLA_ARITHVEC_H__`
3		3
4	`#include <iostream>`	4	`#include <iostream>`
5	`#include "CGLA.h"`	5	`#include "CGLA.h"`
6		6
-		7	`#include <numeric>`
7		8
8	`namespace CGLA`	9	`namespace CGLA`
9	`{`	10	`{`
10		11
11	`/** The ArithVec class template represents a generic arithmetic`	12	`/** The ArithVec class template represents a generic arithmetic`
12	`vector. The three parameters to the template are`	13	`vector. The three parameters to the template are`
13		14
14	`T - the scalar type (i.e. float, int, double etc.)`	15	`T - the scalar type (i.e. float, int, double etc.)`
15		16
16	`V - the name of the vector type. This template is always (and`	17	`V - the name of the vector type. This template is always (and`
17	`only) used as ancestor of concrete types, and the name of the`	18	`only) used as ancestor of concrete types, and the name of the`
18	`class _inheriting_ _from_ this class is used as the V argument.`	19	`class _inheriting_ _from_ this class is used as the V argument.`
19		20
20	`N - The final argument is the dimension N. For instance, N=3 for a`	21	`N - The final argument is the dimension N. For instance, N=3 for a`
21	`3D vector.`	22	`3D vector.`
22		23
23	`This class template contains all functions that are assumed to be`	24	`This class template contains all functions that are assumed to be`
24	`the same for any arithmetic vector - regardless of dimension or`	25	`the same for any arithmetic vector - regardless of dimension or`
25	`the type of scalars used for coordinates.`	26	`the type of scalars used for coordinates.`
26		27
27	`The template contains no virtual functions which is important`	28	`The template contains no virtual functions which is important`
28	`since they add overhead.`	29	`since they add overhead.`
29	`*/`	30	`*/`
30		31
31	`template <class T, class V, int N>`	32	`template <class T, class V, int N>`
32	`class ArithVec`	33	`class ArithVec`
33	`{`	34	`{`
34	`#define for_all_i(expr) for(int i=0;i<N;i++) {expr;}`	-
35		35
36	`protected:`	36	`protected:`
37		37
38	`/// The actual contents of the vector.`	38	`/// The actual contents of the vector.`
39	`T data[N];`	39	`T data[N];`
40		40
41	`protected:`	41	`protected:`
42		42
43	`//----------------------------------------------------------------------`	43	`//----------------------------------------------------------------------`
44	`// Constructors`	44	`// Constructors`
45	`//----------------------------------------------------------------------`	45	`//----------------------------------------------------------------------`
46		46
47	`/// Construct uninitialized vector`	47	`/// Construct uninitialized vector`
48	`ArithVec()`	48	`ArithVec()`
49	`{`	49	`{`
50	`}`	50	`}`
51		51
52	`/// Construct a vector where all coordinates are identical`	52	`/// Construct a vector where all coordinates are identical`
53	`explicit ArithVec(T _a)`	53	`explicit ArithVec(T _a)`
54	`{`	54	`{`
55	`for_all_i(data[i] = _a);`	55	`std::fill_n(data, N, _a);`
56	`}`	56	`}`
57		57
58	`/// Construct a 2D vector`	58	`/// Construct a 2D vector`
59	`ArithVec(T _a, T _b)`	59	`ArithVec(T _a, T _b)`
60	`{`	60	`{`
61	`assert(N==2);`	61	`assert(N==2);`
62	`data[0] = _a;`	62	`data[0] = _a;`
63	`data[1] = _b;`	63	`data[1] = _b;`
64	`}`	64	`}`
65		65
66	`/// Construct a 3D vector`	66	`/// Construct a 3D vector`
67	`ArithVec(T _a, T _b, T _c)`	67	`ArithVec(T _a, T _b, T _c)`
68	`{`	68	`{`
69	`assert(N==3);`	69	`assert(N==3);`
70	`data[0] = _a;`	70	`data[0] = _a;`
71	`data[1] = _b;`	71	`data[1] = _b;`
72	`data[2] = _c;`	72	`data[2] = _c;`
73	`}`	73	`}`
74		74
75	`/// Construct a 4D vector`	75	`/// Construct a 4D vector`
76	`ArithVec(T _a, T _b, T _c, T _d)`	76	`ArithVec(T _a, T _b, T _c, T _d)`
77	`{`	77	`{`
78	`assert(N==4);`	78	`assert(N==4);`
79	`data[0] = _a;`	79	`data[0] = _a;`
80	`data[1] = _b;`	80	`data[1] = _b;`
81	`data[2] = _c;`	81	`data[2] = _c;`
82	`data[3] = _d;`	82	`data[3] = _d;`
83	`}`	83	`}`
84		84
85		85
86	`public:`	86	`public:`
87		87
88	`/// For convenience we define a more meaningful name for the scalar type`	88	`/// For convenience we define a more meaningful name for the scalar type`
89	`typedef T ScalarType;`	89	`typedef T ScalarType;`
90		90
91	`/// A more meaningful name for vector type`	91	`/// A more meaningful name for vector type`
92	`typedef V VectorType;`	92	`typedef V VectorType;`
93		93
94	`/// Return dimension of vector`	94	`/// Return dimension of vector`
95	`static int get_dim() {return N;}`	95	`static int get_dim() {return N;}`
96		96
97	`/// Set all coordinates of a 2D vector.`	97	`/// Set all coordinates of a 2D vector.`
98	`void set(T _a, T _b)`	98	`void set(T _a, T _b)`
99	`{`	99	`{`
100	`assert(N==2);`	100	`assert(N==2);`
101	`data[0] = _a;`	101	`data[0] = _a;`
102	`data[1] = _b;`	102	`data[1] = _b;`
103	`}`	103	`}`
104		104
105	`/// Set all coordinates of a 3D vector.`	105	`/// Set all coordinates of a 3D vector.`
106	`void set(T _a, T _b, T _c)`	106	`void set(T _a, T _b, T _c)`
107	`{`	107	`{`
108	`assert(N==3);`	108	`assert(N==3);`
109	`data[0] = _a;`	109	`data[0] = _a;`
110	`data[1] = _b;`	110	`data[1] = _b;`
111	`data[2] = _c;`	111	`data[2] = _c;`
112	`}`	112	`}`
113		113
114	`/// Set all coordinates of a 4D vector.`	114	`/// Set all coordinates of a 4D vector.`
115	`void set(T _a, T _b, T _c, T _d)`	115	`void set(T _a, T _b, T _c, T _d)`
116	`{`	116	`{`
117	`assert(N==4);`	117	`assert(N==4);`
118	`data[0] = _a;`	118	`data[0] = _a;`
119	`data[1] = _b;`	119	`data[1] = _b;`
120	`data[2] = _c;`	120	`data[2] = _c;`
121	`data[3] = _d;`	121	`data[3] = _d;`
122	`}`	122	`}`
123		123
124	`/// Const index operator`	124	`/// Const index operator`
125	`const T& operator [] ( int i ) const`	125	`const T& operator [] ( int i ) const`
126	`{`	126	`{`
127	`assert(i<N);`	127	`assert(i<N);`
128	`return data[i];`	128	`return data[i];`
129	`}`	129	`}`
130		130
131	`/// Non-const index operator`	131	`/// Non-const index operator`
132	`T& operator [] ( int i )`	132	`T& operator [] ( int i )`
133	`{`	133	`{`
134	`assert(i<N);`	134	`assert(i<N);`
135	`return data[i];`	135	`return data[i];`
136	`}`	136	`}`
137		137
138	`/** Get a pointer to first element in data array.`	138	`/** Get a pointer to first element in data array.`
139	`This function may be useful when interfacing with some other API`	139	`This function may be useful when interfacing with some other API`
140	`such as OpenGL (TM) */`	140	`such as OpenGL (TM) */`
141	`T* get() {return &data[0];}`	141	`T* get() {return &data[0];}`
142		142
143	`/** Get a const pointer to first element in data array.`	143	`/** Get a const pointer to first element in data array.`
144	`This function may be useful when interfacing with some other API`	144	`This function may be useful when interfacing with some other API`
145	`such as OpenGL (TM). */`	145	`such as OpenGL (TM). */`
146	`const T* get() const {return &data[0];}`	146	`const T* get() const {return &data[0];}`
147		147
148	`//----------------------------------------------------------------------`	148	`//----------------------------------------------------------------------`
149	`// Comparison operators`	149	`// Comparison operators`
150	`//----------------------------------------------------------------------`	150	`//----------------------------------------------------------------------`
151		151
152	`/// Equality operator`	152	`/// Equality operator`
153	`bool operator==(const V& v) const`	153	`bool operator==(const V& v) const`
154	`{`	154	`{`
155	`for_all_i(if (data[i] != v[i]) return false)`	155	`return std::inner_product(data, &data[N], v.get(), true,`
156	`return true;`	156	`std::logical_and<bool>(), std::equal_to<T>());`
157	`}`	157	`}`
158		158
-		159	`#define for_all_i(expr) for(int i=0;i<N;i++) {expr;}`
159	`/// Equality wrt scalar. True if all coords are equal to scalar`	160	`/// Equality wrt scalar. True if all coords are equal to scalar`
160	`bool operator==(T k) const`	161	`bool operator==(T k) const`
161	`{`	162	`{`
162	`for_all_i(if (data[i] != k) return false)`	163	`for_all_i(if (data[i] != k) return false)`
163	`return true;`	164	`return true;`
164	`}`	165	`}`
-		166	`#undef for_all_i`
165		167
166	`/// Inequality operator`	168	`/// Inequality operator`
167	`bool operator!=(const V& v) const`	169	`bool operator!=(const V& v) const`
168	`{`	170	`{`
169	`return !(*this==v);`	171	`return std::inner_product(data, &data[N], v.get(), false,`
-		172	`std::logical_or<bool>(), std::not_equal_to<T>());`
170	`}`	173	`}`
171		174
172	`/// Inequality wrt scalar. True if any coord not equal to scalar`	175	`/// Inequality wrt scalar. True if any coord not equal to scalar`
173	`bool operator!=(T k) const`	176	`bool operator!=(T k) const`
174	`{`	177	`{`
175	`return !(*this==k);`	178	`return !(*this==k);`
176	`}`	179	`}`
177		180
178		181
179	`//----------------------------------------------------------------------`	182	`//----------------------------------------------------------------------`
180	`// Comparison functions ... of geometric significance`	183	`// Comparison functions ... of geometric significance`
181	`//----------------------------------------------------------------------`	184	`//----------------------------------------------------------------------`
182		185
183	`/** Compare all coordinates against other vector. ( < )`	186	`/** Compare all coordinates against other vector. ( < )`
184	`Similar to testing whether we are on one side of three planes. */`	187	`Similar to testing whether we are on one side of three planes. */`
185	`bool all_l (const V& v) const`	188	`bool all_l (const V& v) const`
186	`{`	189	`{`
187	`for_all_i(if (data[i] >= v[i]) return false)`	190	`return std::inner_product(data, &data[N], v.get(), true,`
188	`return true;`	191	`std::logical_and<bool>(), std::less<T>());`
189	`}`	192	`}`
190		193
191	`/** Compare all coordinates against other vector. ( <= )`	194	`/** Compare all coordinates against other vector. ( <= )`
192	`Similar to testing whether we are on one side of three planes. */`	195	`Similar to testing whether we are on one side of three planes. */`
193	`bool all_le (const V& v) const`	196	`bool all_le (const V& v) const`
194	`{`	197	`{`
195	`for_all_i(if (data[i] > v[i]) return false)`	198	`return std::inner_product(data, &data[N], v.get(), true,`
196	`return true;`	199	`std::logical_and<bool>(), std::less_equal<T>());`
197	`}`	200	`}`
198		201
199	`/** Compare all coordinates against other vector. ( > )`	202	`/** Compare all coordinates against other vector. ( > )`
200	`Similar to testing whether we are on one side of three planes. */`	203	`Similar to testing whether we are on one side of three planes. */`
201	`bool all_g (const V& v) const`	204	`bool all_g (const V& v) const`
202	`{`	205	`{`
203	`for_all_i(if (data[i] <= v[i]) return false)`	206	`return std::inner_product(data, &data[N], v.get(), true,`
204	`return true;`	207	`std::logical_and<bool>(), std::greater<T>());`
205	`}`	208	`}`
206		209
207	`/** Compare all coordinates against other vector. ( >= )`	210	`/** Compare all coordinates against other vector. ( >= )`
208	`Similar to testing whether we are on one side of three planes. */`	211	`Similar to testing whether we are on one side of three planes. */`
209	`bool all_ge (const V& v) const`	212	`bool all_ge (const V& v) const`
210	`{`	213	`{`
211	`for_all_i(if (data[i] < v[i]) return false);`	214	`return std::inner_product(data, &data[N], v.get(), true,`
212	`return true;`	215	`std::logical_and<bool>(), std::greater_equal<T>());`
213	`}`	216	`}`
214		217
215		218
216	`//----------------------------------------------------------------------`	219	`//----------------------------------------------------------------------`
217	`// Assignment operators`	220	`// Assignment operators`
218	`//----------------------------------------------------------------------`	221	`//----------------------------------------------------------------------`
219		222
220	`/// Assigment multiplication with scalar.`	223	`/// Assignment multiplication with scalar.`
221	`const V& operator *=(T k)`	224	`const V& operator *=(T k)`
222	`{`	225	`{`
223	`for_all_i(data[i] *= k);`	226	`std::transform(data, &data[N], data, std::bind2nd(std::multiplies<T>(), k));`
224	`return static_cast<const V&>(*this);`	227	`return static_cast<const V&>(*this);`
225	`}`	228	`}`
226		229
227	`/// Assignment division with scalar.`	230	`/// Assignment division with scalar.`
228	`const V& operator /=(T k)`	231	`const V& operator /=(T k)`
229	`{`	232	`{`
230	`for_all_i(data[i] /= k);`	233	`std::transform(data, &data[N], data, std::bind2nd(std::divides<T>(), k));`
231	`return static_cast<const V&>(*this);`	234	`return static_cast<const V&>(*this);`
232	`}`	235	`}`
233		236
234	`/// Assignment addition with scalar. Adds scalar to each coordinate.`	237	`/// Assignment addition with scalar. Adds scalar to each coordinate.`
235	`const V& operator +=(T k)`	238	`const V& operator +=(T k)`
236	`{`	239	`{`
237	`for_all_i(data[i] += k);`	240	`std::transform(data, &data[N], data, std::bind2nd(std::plus<T>(), k));`
238	`return static_cast<const V&>(*this);`	241	`return static_cast<const V&>(*this);`
239	`}`	242	`}`
240		243
241	`/// Assignment subtraction with scalar. Subtracts scalar from each coord.`	244	`/// Assignment subtraction with scalar. Subtracts scalar from each coord.`
242	`const V& operator -=(T k)`	245	`const V& operator -=(T k)`
243	`{`	246	`{`
244	`for_all_i(data[i] -= k);`	247	`std::transform(data, &data[N], data, std::bind2nd(std::minus<T>(), k));`
245	`return static_cast<const V&>(*this);`	248	`return static_cast<const V&>(*this);`
246	`}`	249	`}`
247		250
248	`/** Assignment multiplication with vector.`	251	`/** Assignment multiplication with vector.`
249	`Multiply each coord independently. */`	252	`Multiply each coord independently. */`
250	`const V& operator *=(const V& v)`	253	`const V& operator *=(const V& v)`
251	`{`	254	`{`
252	`for_all_i(data[i] *= v[i]);`	255	`std::transform(data, &data[N], v.get(), data, std::multiplies<T>());`
253	`return static_cast<const V&>(*this);`	256	`return static_cast<const V&>(*this);`
254	`}`	257	`}`
255		258
256	`/// Assigment division with vector. Each coord divided independently.`	259	`/// Assigment division with vector. Each coord divided independently.`
257	`const V& operator /=(const V& v)`	260	`const V& operator /=(const V& v)`
258	`{`	261	`{`
259	`for_all_i(data[i] /= v[i]);`	262	`std::transform(data, &data[N], v.get(), data, std::divides<T>());`
260	`return static_cast<const V&>(*this);`	263	`return static_cast<const V&>(*this);`
261	`}`	264	`}`
262		265
263	`/// Assignmment addition with vector.`	266	`/// Assignmment addition with vector.`
264	`const V& operator +=(const V& v)`	267	`const V& operator +=(const V& v)`
265	`{`	268	`{`
266	`for_all_i(data[i] += v[i]);`	269	`std::transform(data, &data[N], v.get(), data, std::plus<T>());`
267	`return static_cast<const V&>(*this);`	270	`return static_cast<const V&>(*this);`
268	`}`	271	`}`
269		272
270	`/// Assignment subtraction with vector.`	273	`/// Assignment subtraction with vector.`
271	`const V& operator -=(const V& v)`	274	`const V& operator -=(const V& v)`
272	`{`	275	`{`
273	`for_all_i(data[i] -= v[i]);`	276	`std::transform(data, &data[N], v.get(), data, std::minus<T>());`
274	`return static_cast<const V&>(*this);`	277	`return static_cast<const V&>(*this);`
275	`}`	278	`}`
276		279
277		280
278	`//----------------------------------------------------------------------`	281	`//----------------------------------------------------------------------`
279	`// Unary operators on vectors`	282	`// Unary operators on vectors`
280	`//----------------------------------------------------------------------`	283	`//----------------------------------------------------------------------`
281		284
282	`/// Negate vector.`	285	`/// Negate vector.`
283	`const V operator - () const`	286	`const V operator - () const`
284	`{`	287	`{`
285	`V v_new;`	288	`V v_new;`
286	`for_all_i(v_new[i] = - data[i]);`	289	`std::transform(data, &data[N], v_new.get(), std::negate<T>());`
287	`return v_new;`	290	`return v_new;`
288	`}`	291	`}`
289		292
290	`//----------------------------------------------------------------------`	293	`//----------------------------------------------------------------------`
291	`// Binary operators on vectors`	294	`// Binary operators on vectors`
292	`//----------------------------------------------------------------------`	295	`//----------------------------------------------------------------------`
293		296
294	`/** Multiply vector with vector. Each coord multiplied independently`	297	`/** Multiply vector with vector. Each coord multiplied independently`
295	`Do not confuse this operation with dot product. */`	298	`Do not confuse this operation with dot product. */`
296	`const V operator * (const V& v1) const`	299	`const V operator * (const V& v1) const`
297	`{`	300	`{`
298	`V v_new;`	301	`V v_new;`
299	`for_all_i(v_new[i] = data[i] * v1[i]);`	302	`std::transform(data, &data[N], v1.get(), v_new.get(), std::multiplies<T>());`
300	`return v_new;`	303	`return v_new;`
301	`}`	304	`}`
302		305
303	`/// Add two vectors`	306	`/// Add two vectors`
304	`const V operator + (const V& v1) const`	307	`const V operator + (const V& v1) const`
305	`{`	308	`{`
306	`V v_new;`	309	`V v_new;`
307	`for_all_i(v_new[i] = data[i] + v1[i]);`	310	`std::transform(data, &data[N], v1.get(), v_new.get(), std::plus<T>());`
308	`return v_new;`	311	`return v_new;`
309	`}`	312	`}`
310		313
311	`/// Subtract two vectors.`	314	`/// Subtract two vectors.`
312	`const V operator - (const V& v1) const`	315	`const V operator - (const V& v1) const`
313	`{`	316	`{`
314	`V v_new;`	317	`V v_new;`
315	`for_all_i(v_new[i] = data[i] - v1[i]);`	318	`std::transform(data, &data[N], v1.get(), v_new.get(), std::minus<T>());`
316	`return v_new;`	319	`return v_new;`
317	`}`	320	`}`
318		321
319	`/// Divide two vectors. Each coord separately`	322	`/// Divide two vectors. Each coord separately`
320	`const V operator / (const V& v1) const`	323	`const V operator / (const V& v1) const`
321	`{`	324	`{`
322	`V v_new;`	325	`V v_new;`
323	`for_all_i(v_new[i] = data[i] / v1[i]);`	326	`std::transform(data, &data[N], v1.get(), v_new.get(), std::divides<T>());`
324	`return v_new;`	327	`return v_new;`
325	`}`	328	`}`
326		329
327	`//----------------------------------------------------------------------`	330	`//----------------------------------------------------------------------`
328	`// Binary operators on vector and scalar`	331	`// Binary operators on vector and scalar`
329	`//----------------------------------------------------------------------`	332	`//----------------------------------------------------------------------`
330		333
331	`/// Multiply scalar onto vector.`	334	`/// Multiply scalar onto vector.`
332	`const V operator * (T k) const`	335	`const V operator * (T k) const`
333	`{`	336	`{`
334	`V v_new;`	337	`V v_new;`
335	`for_all_i(v_new[i] = data[i] * k);`	338	`std::transform(data, &data[N], v_new.get(), std::bind2nd(std::multiplies<T>(), k));`
336	`return v_new;`	339	`return v_new;`
337	`}`	340	`}`
338		341
339		342
340	`/// Divide vector by scalar.`	343	`/// Divide vector by scalar.`
341	`const V operator / (T k) const`	344	`const V operator / (T k) const`
342	`{`	345	`{`
343	`V v_new;`	346	`V v_new;`
344	`for_all_i(v_new[i] = data[i] / k);`	347	`std::transform(data, &data[N], v_new.get(), std::bind2nd(std::divides<T>(), k));`
345	`return v_new;`	348	`return v_new;`
346	`}`	349	`}`
347		350
348		351
349	`/// Return the smallest coordinate of the vector`	352	`/// Return the smallest coordinate of the vector`
350	`const T min_coord() const`	353	`const T min_coord() const`
351	`{`	354	`{`
352	`T t = data[0];`	-
353	`for_all_i(t = s_min(t, data[i]));`	355	`return *std::min_element(data, &data[N]);`
354	`return t;`	-
355	`}`	356	`}`
356		357
357	`/// Return the largest coordinate of the vector`	358	`/// Return the largest coordinate of the vector`
358	`const T max_coord() const`	359	`const T max_coord() const`
359	`{`	360	`{`
360	`T t = data[0];`	-
361	`for_all_i(t = s_max(t, data[i]));`	361	`return *std::max_element(data, &data[N]);`
362	`return t;`	-
363	`}`	362	`}`
364		363
365	`#undef for_all_i`	-
366	`};`	364	`};`
367		365
368	`template <class T, class V, int N>`	366	`template <class T, class V, int N>`
369	`inline std::ostream& operator<<(std::ostream&os, const ArithVec<T,V,N>& v)`	367	`inline std::ostream& operator<<(std::ostream&os, const ArithVec<T,V,N>& v)`
370	`{`	368	`{`
371	`os << "[ ";`	369	`os << "[ ";`
372	`for(int i=0;i<N;i++) os << v[i] << " ";`	370	`for(int i=0;i<N;i++) os << v[i] << " ";`
373	`os << "]";`	371	`os << "]";`
374	`return os;`	372	`return os;`
375	`}`	373	`}`
376		374
377	`/// Get from operator for ArithVec descendants.`	375	`/// Get from operator for ArithVec descendants.`
378	`template <class T,class V, int N>`	376	`template <class T,class V, int N>`
379	`inline std::istream& operator>>(std::istream&is, ArithVec<T,V,N>& v)`	377	`inline std::istream& operator>>(std::istream&is, ArithVec<T,V,N>& v)`
380	`{`	378	`{`
381	`for(int i=0;i<N;i++) is>>v[i];`	379	`for(int i=0;i<N;i++) is>>v[i];`
382	`return is;`	380	`return is;`
383	`}`	381	`}`
384		382
385		383
386	/** Dot product for two vectors. The `*' operator is	384	/** Dot product for two vectors. The `*' operator is
387	`reserved for coordinatewise multiplication of vectors. */`	385	`reserved for coordinatewise multiplication of vectors. */`
388	`template <class T,class V, int N>`	386	`template <class T,class V, int N>`
389	`inline T dot(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`	387	`inline T dot(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`
390	`{`	388	`{`
391	`T x = 0;`	-
392	`for(int i=0;i<N;i++) x += v0[i]*v1[i];`	389	`return std::inner_product(v0.get(), v0.get() + N, v1.get(), T(0));`
393	`return x;`	-
394	`}`	390	`}`
395		391
396	`/** Compute the sqr length by taking dot product of vector with itself. */`	392	`/** Compute the sqr length by taking dot product of vector with itself. */`
397	`template <class T,class V, int N>`	393	`template <class T,class V, int N>`
398	`inline T sqr_length(const ArithVec<T,V,N>& v)`	394	`inline T sqr_length(const ArithVec<T,V,N>& v)`
399	`{`	395	`{`
400	`return dot(v,v);`	396	`return dot(v,v);`
401	`}`	397	`}`
402		398
403	`/** Multiply double onto vector. This operator handles the case`	399	`/** Multiply double onto vector. This operator handles the case`
404	where the vector is on the righ side of the `*'.	400	where the vector is on the righ side of the `*'.
405		401
406	`\note It seems to be optimal to put the binary operators inside the`	402	`\note It seems to be optimal to put the binary operators inside the`
407	`ArithVec class template, but the operator functions whose`	403	`ArithVec class template, but the operator functions whose`
408	`left operand is _not_ a vector cannot be inside, hence they`	404	`left operand is _not_ a vector cannot be inside, hence they`
409	`are here.`	405	`are here.`
410	`We need three operators for scalar * vector although they are`	406	`We need three operators for scalar * vector although they are`
411	`identical, because, if we use a separate template argument for`	407	`identical, because, if we use a separate template argument for`
412	`the left operand, it will match any type. If we use just T as`	408	`the left operand, it will match any type. If we use just T as`
413	`type for the left operand hoping that other built-in types will`	409	`type for the left operand hoping that other built-in types will`
414	`be automatically converted, we will be disappointed. It seems that`	410	`be automatically converted, we will be disappointed. It seems that`
415	`a float * ArithVec<float,Vec3f,3> function is not found if the`	411	`a float * ArithVec<float,Vec3f,3> function is not found if the`
416	`left operand is really a double.`	412	`left operand is really a double.`
417	`*/`	413	`*/`
418		414
419	`template<class T, class V, int N>`	415	`template<class T, class V, int N>`
420	`inline const V operator * (double k, const ArithVec<T,V,N>& v)`	416	`inline const V operator * (double k, const ArithVec<T,V,N>& v)`
421	`{`	417	`{`
422	`return v * k;`	418	`return v * k;`
423	`}`	419	`}`
424		420
425	`/** Multiply float onto vector. See the note in the documentation`	421	`/** Multiply float onto vector. See the note in the documentation`
426	`regarding multiplication of a double onto a vector. */`	422	`regarding multiplication of a double onto a vector. */`
427	`template<class T, class V, int N>`	423	`template<class T, class V, int N>`
428	`inline const V operator * (float k, const ArithVec<T,V,N>& v)`	424	`inline const V operator * (float k, const ArithVec<T,V,N>& v)`
429	`{`	425	`{`
430	`return v * k;`	426	`return v * k;`
431	`}`	427	`}`
432		428
433	`/** Multiply int onto vector. See the note in the documentation`	429	`/** Multiply int onto vector. See the note in the documentation`
434	`regarding multiplication of a double onto a vector. */`	430	`regarding multiplication of a double onto a vector. */`
435	`template<class T, class V, int N>`	431	`template<class T, class V, int N>`
436	`inline const V operator * (int k, const ArithVec<T,V,N>& v)`	432	`inline const V operator * (int k, const ArithVec<T,V,N>& v)`
437	`{`	433	`{`
438	`return v * k;`	434	`return v * k;`
439	`}`	435	`}`
440		436
441	`/** Returns the vector containing for each coordinate the smallest`	437	`/** Returns the vector containing for each coordinate the smallest`
442	`value from two vectors. */`	438	`value from two vectors. */`
443	`template <class T,class V, int N>`	439	`template <class T,class V, int N>`
444	`inline V v_min(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`	440	`inline V v_min(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`
445	`{`	441	`{`
446	`V v;`	442	`V v;`
447	`for(int i=0;i<N;i++)`	443	`std::transform(v0.get(), v0.get() + N, v1.get(), v.get(), std::ptr_fun(s_min<T>));`
448	`v[i] = s_min(v0[i],v1[i]);`	-
449	`return v;`	444	`return v;`
450	`}`	445	`}`
451		446
452	`/** Returns the vector containing for each coordinate the largest`	447	`/** Returns the vector containing for each coordinate the largest`
453	`value from two vectors. */`	448	`value from two vectors. */`
454	`template <class T,class V, int N>`	449	`template <class T,class V, int N>`
455	`inline V v_max(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`	450	`inline V v_max(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`
456	`{`	451	`{`
457	`V v;`	452	`V v;`
458	`for(int i=0;i<N;i++)`	453	`std::transform(v0.get(), v0.get() + N, v1.get(), v.get(), std::ptr_fun(s_max<T>));`
459	`v[i] = s_max(v0[i],v1[i]);`	-
460	`return v;`	454	`return v;`
461	`}`	455	`}`
462		456
463		457
464	`}`	458	`}`
465		459
466	`#endif`	460	`#endif`
467		461

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(root)/trunk/src/CGLA/ArithVec.h – Rev 12 → 43