WebSVN – gelsvn – Diff – /branches/unlabeled-1.1.2/src/CGLA/ArithVec.h


#ifndef __CGLA_ARITHVEC_H__
#define __CGLA_ARITHVEC_H__
 
#include <iostream>
#include "CGLA.h"
 
#include <numeric>
#include <algorithm>
#include <functional>
#include <memory>
 
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
	{
#define for_all_i(expr) for(int i=0;i<N;i++) {expr;}
 
	protected:
 
		/// The actual contents of the vector.
		T data[N];
 
	protected:
 
		//----------------------------------------------------------------------
		// Constructors
		//----------------------------------------------------------------------
 
		/// Construct 0 vector
		ArithVec() 
		{
			for_all_i(data[i]=0);
		}
 
		/// 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>());
		}
 
		/// 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;
		}
 
		/// 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
		//----------------------------------------------------------------------
 
		/// Assigment 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& v) const
		{
		  V v_new;
		  std::transform(data, &data[N], v.get(), v_new.get(), std::multiplies<T>());
		  return v_new;
		}
 
		/// Add two vectors
		const V operator + (const V& v) const
		{
		  V v_new;
		  std::transform(data, &data[N], v.get(), v_new.get(), std::plus<T>());
		  return v_new;
		}
 
		/// Subtract two vectors. 
		const V operator - (const V& v) const
		{
		  V v_new;
		  std::transform(data, &data[N], v.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], v.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 
		{
			T t = data[0];
			for_all_i(t = s_min(t, data[i]));
			return t;
		}
 
		/// Return the largest coordinate of the vector
		const T max_coord() const
		{
			T t = data[0];
			for_all_i(t = s_max(t, data[i]));
			return t;
		}
 
#undef for_all_i  
	};
 
	template <class T, class V, int N> 
	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>
	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[N], v1.get(), 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;
		for(int i=0;i<N;i++)
		v[i] = s_min(v0[i],v1[i]);
      //std::transform(v0.get(), &v0[N], v1.get(), v_new.get(), std::ptr_fun(std::min));
		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;
		for(int i=0;i<N;i++) 
		v[i] = s_max(v0[i],v1[i]);
      //std::transform(v0.get(), &v0[N], v1.get(), v_new.get(), std::ptr_fun(std::max));
		return v;
	}
 
 
}
 
#endif
 

Rev 3	Rev 9
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>`
-		8	`#include <algorithm>`
-		9	`#include <functional>`
-		10	`#include <memory>`
7		11
8	`namespace CGLA {`	12	`namespace CGLA {`
9		13
10	`/** The ArithVec class template represents a generic arithmetic`	14	`/** The ArithVec class template represents a generic arithmetic`
11	`vector. The three parameters to the template are`	15	`vector. The three parameters to the template are`
12		16
13	`T - the scalar type (i.e. float, int, double etc.)`	17	`T - the scalar type (i.e. float, int, double etc.)`
14		18
15	`V - the name of the vector type. This template is always (and`	19	`V - the name of the vector type. This template is always (and`
16	`only) used as ancestor of concrete types, and the name of the`	20	`only) used as ancestor of concrete types, and the name of the`
17	`class _inheriting_ _from_ this class is used as the V argument.`	21	`class _inheriting_ _from_ this class is used as the V argument.`
18		22
19	`N - The final argument is the dimension N. For instance, N=3 for a`	23	`N - The final argument is the dimension N. For instance, N=3 for a`
20	`3D vector.`	24	`3D vector.`
21		25
22	`This class template contains all functions that are assumed to be`	26	`This class template contains all functions that are assumed to be`
23	`the same for any arithmetic vector - regardless of dimension or`	27	`the same for any arithmetic vector - regardless of dimension or`
24	`the type of scalars used for coordinates.`	28	`the type of scalars used for coordinates.`
25		29
26	`The template contains no virtual functions which is important`	30	`The template contains no virtual functions which is important`
27	`since they add overhead.`	31	`since they add overhead.`
28	`*/`	32	`*/`
29		33
30	`template <class T, class V, int N>`	34	`template <class T, class V, int N>`
31	`class ArithVec`	35	`class ArithVec`
32	`{`	36	`{`
33	`#define for_all_i(expr) for(int i=0;i<N;i++) {expr;}`	37	`#define for_all_i(expr) for(int i=0;i<N;i++) {expr;}`
34		38
35	`protected:`	39	`protected:`
36		40
37	`/// The actual contents of the vector.`	41	`/// The actual contents of the vector.`
38	`T data[N];`	42	`T data[N];`
39		43
40	`protected:`	44	`protected:`
41		45
42	`//----------------------------------------------------------------------`	46	`//----------------------------------------------------------------------`
43	`// Constructors`	47	`// Constructors`
44	`//----------------------------------------------------------------------`	48	`//----------------------------------------------------------------------`
45		49
46	`/// Construct 0 vector`	50	`/// Construct 0 vector`
47	`ArithVec()`	51	`ArithVec()`
48	`{`	52	`{`
49	`for_all_i(data[i]=0);`	53	`for_all_i(data[i]=0);`
50	`}`	54	`}`
51		55
52	`/// Construct a vector where all coordinates are identical`	56	`/// Construct a vector where all coordinates are identical`
53	`explicit ArithVec(T _a)`	57	`explicit ArithVec(T _a)`
54	`{`	58	`{`
55	`for_all_i(data[i] = _a);`	59	`std::fill_n(data, N, _a);`
56	`}`	60	`}`
57		61
58	`/// Construct a 2D vector`	62	`/// Construct a 2D vector`
59	`ArithVec(T _a, T _b)`	63	`ArithVec(T _a, T _b)`
60	`{`	64	`{`
61	`assert(N==2);`	65	`assert(N==2);`
62	`data[0] = _a;`	66	`data[0] = _a;`
63	`data[1] = _b;`	67	`data[1] = _b;`
64	`}`	68	`}`
65		69
66	`/// Construct a 3D vector`	70	`/// Construct a 3D vector`
67	`ArithVec(T _a, T _b, T _c)`	71	`ArithVec(T _a, T _b, T _c)`
68	`{`	72	`{`
69	`assert(N==3);`	73	`assert(N==3);`
70	`data[0] = _a;`	74	`data[0] = _a;`
71	`data[1] = _b;`	75	`data[1] = _b;`
72	`data[2] = _c;`	76	`data[2] = _c;`
73	`}`	77	`}`
74		78
75	`/// Construct a 4D vector`	79	`/// Construct a 4D vector`
76	`ArithVec(T _a, T _b, T _c, T _d)`	80	`ArithVec(T _a, T _b, T _c, T _d)`
77	`{`	81	`{`
78	`assert(N==4);`	82	`assert(N==4);`
79	`data[0] = _a;`	83	`data[0] = _a;`
80	`data[1] = _b;`	84	`data[1] = _b;`
81	`data[2] = _c;`	85	`data[2] = _c;`
82	`data[3] = _d;`	86	`data[3] = _d;`
83	`}`	87	`}`
84		88
85		89
86	`public:`	90	`public:`
87		91
88	`/// For convenience we define a more meaningful name for the scalar type`	92	`/// For convenience we define a more meaningful name for the scalar type`
89	`typedef T ScalarType;`	93	`typedef T ScalarType;`
90		94
91	`/// A more meaningful name for vector type`	95	`/// A more meaningful name for vector type`
92	`typedef V VectorType;`	96	`typedef V VectorType;`
93		97
94	`/// Return dimension of vector`	98	`/// Return dimension of vector`
95	`static int get_dim() {return N;}`	99	`static int get_dim() {return N;}`
96		100
97	`/// Set all coordinates of a 2D vector.`	101	`/// Set all coordinates of a 2D vector.`
98	`void set(T _a, T _b)`	102	`void set(T _a, T _b)`
99	`{`	103	`{`
100	`assert(N==2);`	104	`assert(N==2);`
101	`data[0] = _a;`	105	`data[0] = _a;`
102	`data[1] = _b;`	106	`data[1] = _b;`
103	`}`	107	`}`
104		108
105	`/// Set all coordinates of a 3D vector.`	109	`/// Set all coordinates of a 3D vector.`
106	`void set(T _a, T _b, T _c)`	110	`void set(T _a, T _b, T _c)`
107	`{`	111	`{`
108	`assert(N==3);`	112	`assert(N==3);`
109	`data[0] = _a;`	113	`data[0] = _a;`
110	`data[1] = _b;`	114	`data[1] = _b;`
111	`data[2] = _c;`	115	`data[2] = _c;`
112	`}`	116	`}`
113		117
114	`/// Set all coordinates of a 4D vector.`	118	`/// Set all coordinates of a 4D vector.`
115	`void set(T _a, T _b, T _c, T _d)`	119	`void set(T _a, T _b, T _c, T _d)`
116	`{`	120	`{`
117	`assert(N==4);`	121	`assert(N==4);`
118	`data[0] = _a;`	122	`data[0] = _a;`
119	`data[1] = _b;`	123	`data[1] = _b;`
120	`data[2] = _c;`	124	`data[2] = _c;`
121	`data[3] = _d;`	125	`data[3] = _d;`
122	`}`	126	`}`
123		127
124	`/// Const index operator`	128	`/// Const index operator`
125	`const T& operator [] ( int i ) const`	129	`const T& operator [] ( int i ) const`
126	`{`	130	`{`
127	`assert(i<N);`	131	`//assert(i<N);`
128	`return data[i];`	132	`return data[i];`
129	`}`	133	`}`
130		134
131	`/// Non-const index operator`	135	`/// Non-const index operator`
132	`T& operator [] ( int i )`	136	`T& operator [] ( int i )`
133	`{`	137	`{`
134	`assert(i<N);`	138	`//assert(i<N);`
135	`return data[i];`	139	`return data[i];`
136	`}`	140	`}`
137		141
138	`/** Get a pointer to first element in data array.`	142	`/** Get a pointer to first element in data array.`
139	`This function may be useful when interfacing with some other API`	143	`This function may be useful when interfacing with some other API`
140	`such as OpenGL (TM) */`	144	`such as OpenGL (TM) */`
141	`T* get() {return &data[0];}`	145	`T* get() {return &data[0];}`
142		146
143	`/** Get a const pointer to first element in data array.`	147	`/** Get a const pointer to first element in data array.`
144	`This function may be useful when interfacing with some other API`	148	`This function may be useful when interfacing with some other API`
145	`such as OpenGL (TM). */`	149	`such as OpenGL (TM). */`
146	`const T* get() const {return &data[0];}`	150	`const T* get() const {return &data[0];}`
147		151
148	`//----------------------------------------------------------------------`	152	`//----------------------------------------------------------------------`
149	`// Comparison operators`	153	`// Comparison operators`
150	`//----------------------------------------------------------------------`	154	`//----------------------------------------------------------------------`
151		155
152	`/// Equality operator`	156	`/// Equality operator`
153	`bool operator==(const V& v) const`	157	`bool operator==(const V& v) const`
154	`{`	158	`{`
155	`for_all_i(if (data[i] != v[i]) return false)`	159	`return std::inner_product(data, &data[N], v.get(), true,`
156	`return true;`	160	`std::logical_and<bool>(), std::equal_to<T>());`
157	`}`	161	`}`
158		162
159	`/// Equality wrt scalar. True if all coords are equal to scalar`	163	`/// Equality wrt scalar. True if all coords are equal to scalar`
160	`bool operator==(T k) const`	164	`bool operator==(T k) const`
161	`{`	165	`{`
162	`for_all_i(if (data[i] != k) return false)`	166	`for_all_i(if (data[i] != k) return false)`
163	`return true;`	167	`return true;`
164	`}`	168	`}`
165		169
166	`/// Inequality operator`	170	`/// Inequality operator`
167	`bool operator!=(const V& v) const`	171	`bool operator!=(const V& v) const`
168	`{`	172	`{`
169	`return !(*this==v);`	173	`return std::inner_product(data, &data[N], v.get(), false,`
-		174	`std::logical_or<bool>(), std::not_equal_to<T>());`
170	`}`	175	`}`
171		176
172	`/// Inequality wrt scalar. True if any coord not equal to scalar`	177	`/// Inequality wrt scalar. True if any coord not equal to scalar`
173	`bool operator!=(T k) const`	178	`bool operator!=(T k) const`
174	`{`	179	`{`
175	`return !(*this==k);`	180	`return !(*this==k);`
176	`}`	181	`}`
177		182
178		183
179	`//----------------------------------------------------------------------`	184	`//----------------------------------------------------------------------`
180	`// Comparison functions ... of geometric significance`	185	`// Comparison functions ... of geometric significance`
181	`//----------------------------------------------------------------------`	186	`//----------------------------------------------------------------------`
182		187
183	`/** Compare all coordinates against other vector. ( < )`	188	`/** Compare all coordinates against other vector. ( < )`
184	`Similar to testing whether we are on one side of three planes. */`	189	`Similar to testing whether we are on one side of three planes. */`
185	`bool all_l (const V& v) const`	190	`bool all_l (const V& v) const`
186	`{`	191	`{`
187	`for_all_i(if (data[i] >= v[i]) return false)`	192	`return std::inner_product(data, &data[N], v.get(), true,`
188	`return true;`	193	`std::logical_and<bool>(), std::less<T>());`
189	`}`	194	`}`
190		195
191	`/** Compare all coordinates against other vector. ( <= )`	196	`/** Compare all coordinates against other vector. ( <= )`
192	`Similar to testing whether we are on one side of three planes. */`	197	`Similar to testing whether we are on one side of three planes. */`
193	`bool all_le (const V& v) const`	198	`bool all_le (const V& v) const`
194	`{`	199	`{`
195	`for_all_i(if (data[i] > v[i]) return false)`	200	`return std::inner_product(data, &data[N], v.get(), true,`
196	`return true;`	201	`std::logical_and<bool>(), std::less_equal<T>());`
197	`}`	202	`}`
198		203
199	`/** Compare all coordinates against other vector. ( > )`	204	`/** Compare all coordinates against other vector. ( > )`
200	`Similar to testing whether we are on one side of three planes. */`	205	`Similar to testing whether we are on one side of three planes. */`
201	`bool all_g (const V& v) const`	206	`bool all_g (const V& v) const`
202	`{`	207	`{`
203	`for_all_i(if (data[i] <= v[i]) return false)`	208	`return std::inner_product(data, &data[N], v.get(), true,`
204	`return true;`	209	`std::logical_and<bool>(), std::greater<T>());`
205	`}`	210	`}`
206		211
207	`/** Compare all coordinates against other vector. ( >= )`	212	`/** Compare all coordinates against other vector. ( >= )`
208	`Similar to testing whether we are on one side of three planes. */`	213	`Similar to testing whether we are on one side of three planes. */`
209	`bool all_ge (const V& v) const`	214	`bool all_ge (const V& v) const`
210	`{`	215	`{`
211	`for_all_i(if (data[i] < v[i]) return false);`	216	`return std::inner_product(data, &data[N], v.get(), true,`
212	`return true;`	217	`std::logical_and<bool>(), std::greater_equal<T>());`
213	`}`	218	`}`
214		219
215		220
216	`//----------------------------------------------------------------------`	221	`//----------------------------------------------------------------------`
217	`// Assignment operators`	222	`// Assignment operators`
218	`//----------------------------------------------------------------------`	223	`//----------------------------------------------------------------------`
219		224
220	`/// Assigment multiplication with scalar.`	225	`/// Assigment multiplication with scalar.`
221	`const V& operator *=(T k)`	226	`const V& operator *=(T k)`
222	`{`	227	`{`
223	`for_all_i(data[i] *= k);`	228	`std::transform(data, &data[N], data, std::bind2nd(std::multiplies<T>(), k));`
224	`return static_cast<const V&>(*this);`	229	`return static_cast<const V&>(*this);`
225	`}`	230	`}`
226		231
227	`/// Assignment division with scalar.`	232	`/// Assignment division with scalar.`
228	`const V& operator /=(T k)`	233	`const V& operator /=(T k)`
229	`{`	234	`{`
230	`for_all_i(data[i] /= k);`	235	`std::transform(data, &data[N], data, std::bind2nd(std::divides<T>(), k));`
231	`return static_cast<const V&>(*this);`	236	`return static_cast<const V&>(*this);`
232	`}`	237	`}`
233		238
234	`/// Assignment addition with scalar. Adds scalar to each coordinate.`	239	`/// Assignment addition with scalar. Adds scalar to each coordinate.`
235	`const V& operator +=(T k)`	240	`const V& operator +=(T k)`
236	`{`	241	`{`
237	`for_all_i(data[i] += k);`	242	`std::transform(data, &data[N], data, std::bind2nd(std::plus<T>(), k));`
238	`return static_cast<const V&>(*this);`	243	`return static_cast<const V&>(*this);`
239	`}`	244	`}`
240		245
241	`/// Assignment subtraction with scalar. Subtracts scalar from each coord.`	246	`/// Assignment subtraction with scalar. Subtracts scalar from each coord.`
242	`const V& operator -=(T k)`	247	`const V& operator -=(T k)`
243	`{`	248	`{`
244	`for_all_i(data[i] -= k);`	249	`std::transform(data, &data[N], data, std::bind2nd(std::minus<T>(), k));`
245	`return static_cast<const V&>(*this);`	250	`return static_cast<const V&>(*this);`
246	`}`	251	`}`
247		252
248	`/** Assignment multiplication with vector.`	253	`/** Assignment multiplication with vector.`
249	`Multiply each coord independently. */`	254	`Multiply each coord independently. */`
250	`const V& operator *=(const V& v)`	255	`const V& operator *=(const V& v)`
251	`{`	256	`{`
252	`for_all_i(data[i] *= v[i]);`	257	`std::transform(data, &data[N], v.get(), data, std::multiplies<T>());`
253	`return static_cast<const V&>(*this);`	258	`return static_cast<const V&>(*this);`
254	`}`	259	`}`
255		260
256	`/// Assigment division with vector. Each coord divided independently.`	261	`/// Assigment division with vector. Each coord divided independently.`
257	`const V& operator /=(const V& v)`	262	`const V& operator /=(const V& v)`
258	`{`	263	`{`
259	`for_all_i(data[i] /= v[i]);`	264	`std::transform(data, &data[N], v.get(), data, std::divides<T>());`
260	`return static_cast<const V&>(*this);`	265	`return static_cast<const V&>(*this);`
261	`}`	266	`}`
262		267
263	`/// Assignmment addition with vector.`	268	`/// Assignmment addition with vector.`
264	`const V& operator +=(const V& v)`	269	`const V& operator +=(const V& v)`
265	`{`	270	`{`
266	`for_all_i(data[i] += v[i]);`	271	`std::transform(data, &data[N], v.get(), data, std::plus<T>());`
267	`return static_cast<const V&>(*this);`	272	`return static_cast<const V&>(*this);`
268	`}`	273	`}`
269		274
270	`/// Assignment subtraction with vector.`	275	`/// Assignment subtraction with vector.`
271	`const V& operator -=(const V& v)`	276	`const V& operator -=(const V& v)`
272	`{`	277	`{`
273	`for_all_i(data[i] -= v[i]);`	278	`std::transform(data, &data[N], v.get(), data, std::minus<T>());`
274	`return static_cast<const V&>(*this);`	279	`return static_cast<const V&>(*this);`
275	`}`	280	`}`
276		281
277		282
278	`//----------------------------------------------------------------------`	283	`//----------------------------------------------------------------------`
279	`// Unary operators on vectors`	284	`// Unary operators on vectors`
280	`//----------------------------------------------------------------------`	285	`//----------------------------------------------------------------------`
281		286
282	`/// Negate vector.`	287	`/// Negate vector.`
283	`const V operator - () const`	288	`const V operator - () const`
284	`{`	289	`{`
285	`V v_new;`	290	`V v_new;`
286	`for_all_i(v_new[i] = - data[i]);`	291	`std::transform(data, &data[N], v_new.get(), std::negate<T>());`
287	`return v_new;`	292	`return v_new;`
288	`}`	293	`}`
289		294
290	`//----------------------------------------------------------------------`	295	`//----------------------------------------------------------------------`
291	`// Binary operators on vectors`	296	`// Binary operators on vectors`
292	`//----------------------------------------------------------------------`	297	`//----------------------------------------------------------------------`
293		298
294	`/** Multiply vector with vector. Each coord multiplied independently`	299	`/** Multiply vector with vector. Each coord multiplied independently`
295	`Do not confuse this operation with dot product. */`	300	`Do not confuse this operation with dot product. */`
296	`const V operator * (const V& v1) const`	301	`const V operator * (const V& v) const`
297	`{`	302	`{`
298	`V v_new;`	303	`V v_new;`
299	`for_all_i(v_new[i] = data[i] * v1[i]);`	304	`std::transform(data, &data[N], v.get(), v_new.get(), std::multiplies<T>());`
300	`return v_new;`	305	`return v_new;`
301	`}`	306	`}`
302		307
303	`/// Add two vectors`	308	`/// Add two vectors`
304	`const V operator + (const V& v1) const`	309	`const V operator + (const V& v) const`
305	`{`	310	`{`
306	`V v_new;`	311	`V v_new;`
307	`for_all_i(v_new[i] = data[i] + v1[i]);`	312	`std::transform(data, &data[N], v.get(), v_new.get(), std::plus<T>());`
308	`return v_new;`	313	`return v_new;`
309	`}`	314	`}`
310		315
311	`/// Subtract two vectors.`	316	`/// Subtract two vectors.`
312	`const V operator - (const V& v1) const`	317	`const V operator - (const V& v) const`
313	`{`	318	`{`
314	`V v_new;`	319	`V v_new;`
315	`for_all_i(v_new[i] = data[i] - v1[i]);`	320	`std::transform(data, &data[N], v.get(), v_new.get(), std::minus<T>());`
316	`return v_new;`	321	`return v_new;`
317	`}`	322	`}`
318		323
319	`/// Divide two vectors. Each coord separately`	324	`/// Divide two vectors. Each coord separately`
320	`const V operator / (const V& v1) const`	325	`const V operator / (const V& v1) const`
321	`{`	326	`{`
322	`V v_new;`	327	`V v_new;`
323	`for_all_i(v_new[i] = data[i] / v1[i]);`	328	`std::transform(data, &data[N], v.get(), v_new.get(), std::divides<T>());`
324	`return v_new;`	329	`return v_new;`
325	`}`	330	`}`
326		331
327	`//----------------------------------------------------------------------`	332	`//----------------------------------------------------------------------`
328	`// Binary operators on vector and scalar`	333	`// Binary operators on vector and scalar`
329	`//----------------------------------------------------------------------`	334	`//----------------------------------------------------------------------`
330		335
331	`/// Multiply scalar onto vector.`	336	`/// Multiply scalar onto vector.`
332	`const V operator * (T k) const`	337	`const V operator * (T k) const`
333	`{`	338	`{`
334	`V v_new;`	339	`V v_new;`
335	`for_all_i(v_new[i] = data[i] * k);`	340	`std::transform(data, &data[N], v_new.get(), std::bind2nd(std::multiplies<T>(), k));`
336	`return v_new;`	341	`return v_new;`
337	`}`	342	`}`
338		343
339		344
340	`/// Divide vector by scalar.`	345	`/// Divide vector by scalar.`
341	`const V operator / (T k) const`	346	`const V operator / (T k) const`
342	`{`	347	`{`
343	`V v_new;`	348	`V v_new;`
344	`for_all_i(v_new[i] = data[i] / k);`	349	`std::transform(data, &data[N], v_new.get(), std::bind2nd(std::divides<T>(), k));`
345	`return v_new;`	350	`return v_new;`
346	`}`	351	`}`
347		352
348		353
349	`/// Return the smallest coordinate of the vector`	354	`/// Return the smallest coordinate of the vector`
350	`const T min_coord() const`	355	`const T min_coord() const`
351	`{`	356	`{`
352	`T t = data[0];`	357	`T t = data[0];`
353	`for_all_i(t = s_min(t, data[i]));`	358	`for_all_i(t = s_min(t, data[i]));`
354	`return t;`	359	`return t;`
355	`}`	360	`}`
356		361
357	`/// Return the largest coordinate of the vector`	362	`/// Return the largest coordinate of the vector`
358	`const T max_coord() const`	363	`const T max_coord() const`
359	`{`	364	`{`
360	`T t = data[0];`	365	`T t = data[0];`
361	`for_all_i(t = s_max(t, data[i]));`	366	`for_all_i(t = s_max(t, data[i]));`
362	`return t;`	367	`return t;`
363	`}`	368	`}`
364		369
365	`#undef for_all_i`	370	`#undef for_all_i`
366	`};`	371	`};`
367		372
368	`template <class T, class V, int N>`	373	`template <class T, class V, int N>`
369	`inline std::ostream& operator<<(std::ostream&os, const ArithVec<T,V,N>& v)`	374	`std::ostream& operator<<(std::ostream&os, const ArithVec<T,V,N>& v)`
370	`{`	375	`{`
371	`os << "[ ";`	376	`os << "[ ";`
372	`for(int i=0;i<N;i++) os << v[i] << " ";`	377	`for(int i=0;i<N;i++) os << v[i] << " ";`
373	`os << "]";`	378	`os << "]";`
374	`return os;`	379	`return os;`
375	`}`	380	`}`
376		381
377	`/// Get from operator for ArithVec descendants.`	382	`/// Get from operator for ArithVec descendants.`
378	`template <class T,class V, int N>`	383	`template <class T,class V, int N>`
379	`inline std::istream& operator>>(std::istream&is, ArithVec<T,V,N>& v)`	384	`std::istream& operator>>(std::istream&is, ArithVec<T,V,N>& v)`
380	`{`	385	`{`
381	`for(int i=0;i<N;i++) is>>v[i];`	386	`for(int i=0;i<N;i++) is>>v[i];`
382	`return is;`	387	`return is;`
383	`}`	388	`}`
384		389
385		390
386	/** Dot product for two vectors. The `*' operator is	391	/** Dot product for two vectors. The `*' operator is
387	`reserved for coordinatewise multiplication of vectors. */`	392	`reserved for coordinatewise multiplication of vectors. */`
388	`template <class T,class V, int N>`	393	`template <class T,class V, int N>`
389	`inline T dot(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`	394	`inline T dot(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`
390	`{`	395	`{`
391	`T x = 0;`	-
392	`for(int i=0;i<N;i++) x += v0[i]*v1[i];`	396	`return std::inner_product(v0.get(), &v0[N], v1.get(), 0);`
393	`return x;`	-
394	`}`	397	`}`
395		398
396	`/** Compute the sqr length by taking dot product of vector with itself. */`	399	`/** Compute the sqr length by taking dot product of vector with itself. */`
397	`template <class T,class V, int N>`	400	`template <class T,class V, int N>`
398	`inline T sqr_length(const ArithVec<T,V,N>& v)`	401	`inline T sqr_length(const ArithVec<T,V,N>& v)`
399	`{`	402	`{`
400	`return dot(v,v);`	403	`return dot(v,v);`
401	`}`	404	`}`
402		405
403	`/** Multiply double onto vector. This operator handles the case`	406	`/** Multiply double onto vector. This operator handles the case`
404	where the vector is on the righ side of the `*'.	407	where the vector is on the righ side of the `*'.
405		408
406	`\note It seems to be optimal to put the binary operators inside the`	409	`\note It seems to be optimal to put the binary operators inside the`
407	`ArithVec class template, but the operator functions whose`	410	`ArithVec class template, but the operator functions whose`
408	`left operand is _not_ a vector cannot be inside, hence they`	411	`left operand is _not_ a vector cannot be inside, hence they`
409	`are here.`	412	`are here.`
410	`We need three operators for scalar * vector although they are`	413	`We need three operators for scalar * vector although they are`
411	`identical, because, if we use a separate template argument for`	414	`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`	415	`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`	416	`type for the left operand hoping that other built-in types will`
414	`be automatically converted, we will be disappointed. It seems that`	417	`be automatically converted, we will be disappointed. It seems that`
415	`a float * ArithVec<float,Vec3f,3> function is not found if the`	418	`a float * ArithVec<float,Vec3f,3> function is not found if the`
416	`left operand is really a double.`	419	`left operand is really a double.`
417	`*/`	420	`*/`
418		421
419	`template<class T, class V, int N>`	422	`template<class T, class V, int N>`
420	`inline const V operator * (double k, const ArithVec<T,V,N>& v)`	423	`inline const V operator * (double k, const ArithVec<T,V,N>& v)`
421	`{`	424	`{`
422	`return v * k;`	425	`return v * k;`
423	`}`	426	`}`
424		427
425	`/** Multiply float onto vector. See the note in the documentation`	428	`/** Multiply float onto vector. See the note in the documentation`
426	`regarding multiplication of a double onto a vector. */`	429	`regarding multiplication of a double onto a vector. */`
427	`template<class T, class V, int N>`	430	`template<class T, class V, int N>`
428	`inline const V operator * (float k, const ArithVec<T,V,N>& v)`	431	`inline const V operator * (float k, const ArithVec<T,V,N>& v)`
429	`{`	432	`{`
430	`return v * k;`	433	`return v * k;`
431	`}`	434	`}`
432		435
433	`/** Multiply int onto vector. See the note in the documentation`	436	`/** Multiply int onto vector. See the note in the documentation`
434	`regarding multiplication of a double onto a vector. */`	437	`regarding multiplication of a double onto a vector. */`
435	`template<class T, class V, int N>`	438	`template<class T, class V, int N>`
436	`inline const V operator * (int k, const ArithVec<T,V,N>& v)`	439	`inline const V operator * (int k, const ArithVec<T,V,N>& v)`
437	`{`	440	`{`
438	`return v * k;`	441	`return v * k;`
439	`}`	442	`}`
440		443
441	`/** Returns the vector containing for each coordinate the smallest`	444	`/** Returns the vector containing for each coordinate the smallest`
442	`value from two vectors. */`	445	`value from two vectors. */`
443	`template <class T,class V, int N>`	446	`template <class T,class V, int N>`
444	`inline V v_min(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`	447	`inline V v_min(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`
445	`{`	448	`{`
446	`V v;`	449	`V v;`
447	`for(int i=0;i<N;i++)`	450	`for(int i=0;i<N;i++)`
448	`v[i] = s_min(v0[i],v1[i]);`	451	`v[i] = s_min(v0[i],v1[i]);`
-		452	`//std::transform(v0.get(), &v0[N], v1.get(), v_new.get(), std::ptr_fun(std::min));`
449	`return v;`	453	`return v;`
450	`}`	454	`}`
451		455
452	`/** Returns the vector containing for each coordinate the largest`	456	`/** Returns the vector containing for each coordinate the largest`
453	`value from two vectors. */`	457	`value from two vectors. */`
454	`template <class T,class V, int N>`	458	`template <class T,class V, int N>`
455	`inline V v_max(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`	459	`inline V v_max(const ArithVec<T,V,N>& v0, const ArithVec<T,V,N>& v1)`
456	`{`	460	`{`
457	`V v;`	461	`V v;`
458	`for(int i=0;i<N;i++)`	462	`for(int i=0;i<N;i++)`
459	`v[i] = s_max(v0[i],v1[i]);`	463	`v[i] = s_max(v0[i],v1[i]);`
-		464	`//std::transform(v0.get(), &v0[N], v1.get(), v_new.get(), std::ptr_fun(std::max));`
460	`return v;`	465	`return v;`
461	`}`	466	`}`
462		467
463		468
464	`}`	469	`}`
465		470
466	`#endif`	471	`#endif`
467		472

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(root)/branches/unlabeled-1.1.2/src/CGLA/ArithVec.h – Rev 3 → 9