1///////////////////////////////////////////////////////////////////////////////////
2/// OpenGL Mathematics (glm.g-truc.net)
3///
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9/// copies of the Software, and to permit persons to whom the Software is
10/// furnished to do so, subject to the following conditions:
11///
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14///
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16/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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22///
23/// @ref core
24/// @file glm/core/func_integer.hpp
25/// @date 2010-03-17 / 2011-06-18
26/// @author Christophe Riccio
27///
28/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
29///
30/// @defgroup core_func_integer Integer functions
31/// @ingroup core
32///
33/// These all operate component-wise. The description is per component.
34/// The notation [a, b] means the set of bits from bit-number a through bit-number
35/// b, inclusive. The lowest-order bit is bit 0.
36///////////////////////////////////////////////////////////////////////////////////
37
38#ifndef glm_core_func_integer
39#define glm_core_func_integer
40
41#include "setup.hpp"
42
43namespace glm
44{
45	/// @addtogroup core_func_integer
46	/// @{
47
48	/// Adds 32-bit unsigned integer x and y, returning the sum
49	/// modulo pow(2, 32). The value carry is set to 0 if the sum was
50	/// less than pow(2, 32), or to 1 otherwise.
51	///
52	/// @tparam genUType Unsigned integer scalar or vector types.
53	///
54	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uaddCarry.xml">GLSL uaddCarry man page</a>
55	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
56	template <typename genUType>
57	GLM_FUNC_DECL genUType uaddCarry(
58		genUType const & x,
59		genUType const & y,
60		genUType & carry);
61
62	/// Subtracts the 32-bit unsigned integer y from x, returning
63	/// the difference if non-negative, or pow(2, 32) plus the difference
64	/// otherwise. The value borrow is set to 0 if x >= y, or to 1 otherwise.
65	///
66	/// @tparam genUType Unsigned integer scalar or vector types.
67	///
68	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/usubBorrow.xml">GLSL usubBorrow man page</a>
69	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
70	template <typename genUType>
71	GLM_FUNC_DECL genUType usubBorrow(
72		genUType const & x,
73		genUType const & y,
74		genUType & borrow);
75
76	/// Multiplies 32-bit integers x and y, producing a 64-bit
77	/// result. The 32 least-significant bits are returned in lsb.
78	/// The 32 most-significant bits are returned in msb.
79	///
80	/// @tparam genUType Unsigned integer scalar or vector types.
81	///
82	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/umulExtended.xml">GLSL umulExtended man page</a>
83	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
84	template <typename genUType>
85	GLM_FUNC_DECL void umulExtended(
86		genUType const & x,
87		genUType const & y,
88		genUType & msb,
89		genUType & lsb);
90
91	/// Multiplies 32-bit integers x and y, producing a 64-bit
92	/// result. The 32 least-significant bits are returned in lsb.
93	/// The 32 most-significant bits are returned in msb.
94	///
95	/// @tparam genIType Signed integer scalar or vector types.
96	///
97	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/imulExtended.xml">GLSL imulExtended man page</a>
98	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
99	template <typename genIType>
100	GLM_FUNC_DECL void imulExtended(
101		genIType const & x,
102		genIType const & y,
103		genIType & msb,
104		genIType & lsb);
105
106	/// Extracts bits [offset, offset + bits - 1] from value,
107	/// returning them in the least significant bits of the result.
108	/// For unsigned data types, the most significant bits of the
109	/// result will be set to zero. For signed data types, the
110	/// most significant bits will be set to the value of bit offset + base - 1.
111	///
112	/// If bits is zero, the result will be zero. The result will be
113	/// undefined if offset or bits is negative, or if the sum of
114	/// offset and bits is greater than the number of bits used
115	/// to store the operand.
116	///
117	/// @tparam genIUType Signed or unsigned integer scalar or vector types.
118	///
119	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitfieldExtract.xml">GLSL bitfieldExtract man page</a>
120	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
121	template <typename genIUType>
122	GLM_FUNC_DECL genIUType bitfieldExtract(
123		genIUType const & Value,
124		int const & Offset,
125		int const & Bits);
126
127	/// Returns the insertion the bits least-significant bits of insert into base.
128	///
129	/// The result will have bits [offset, offset + bits - 1] taken
130	/// from bits [0, bits - 1] of insert, and all other bits taken
131	/// directly from the corresponding bits of base. If bits is
132	/// zero, the result will simply be base. The result will be
133	/// undefined if offset or bits is negative, or if the sum of
134	/// offset and bits is greater than the number of bits used to
135	/// store the operand.
136	///
137	/// @tparam genIUType Signed or unsigned integer scalar or vector types.
138	///
139	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitfieldInsert.xml">GLSL bitfieldInsert man page</a>
140	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
141	template <typename genIUType>
142	GLM_FUNC_DECL genIUType bitfieldInsert(
143		genIUType const & Base,
144		genIUType const & Insert,
145		int const & Offset,
146		int const & Bits);
147
148	/// Returns the reversal of the bits of value.
149	/// The bit numbered n of the result will be taken from bit (bits - 1) - n of value,
150	/// where bits is the total number of bits used to represent value.
151	///
152	/// @tparam genIUType Signed or unsigned integer scalar or vector types.
153	///
154	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitfieldReverse.xml">GLSL bitfieldReverse man page</a>
155	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
156	template <typename genIUType>
157	GLM_FUNC_DECL genIUType bitfieldReverse(genIUType const & Value);
158
159	/// Returns the number of bits set to 1 in the binary representation of value.
160	///
161	/// @tparam genIUType Signed or unsigned integer scalar or vector types.
162	///
163	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitCount.xml">GLSL bitCount man page</a>
164	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
165	///
166	/// @todo Clarify the declaration to specify that scalars are suported.
167	template <typename T, template <typename> class genIUType>
168	GLM_FUNC_DECL typename genIUType<T>::signed_type bitCount(genIUType<T> const & Value);
169
170	/// Returns the bit number of the least significant bit set to
171	/// 1 in the binary representation of value.
172	/// If value is zero, -1 will be returned.
173	///
174	/// @tparam genIUType Signed or unsigned integer scalar or vector types.
175	///
176	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/findLSB.xml">GLSL findLSB man page</a>
177	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
178	///
179	/// @todo Clarify the declaration to specify that scalars are suported.
180	template <typename T, template <typename> class genIUType>
181	GLM_FUNC_DECL typename genIUType<T>::signed_type findLSB(genIUType<T> const & Value);
182
183	/// Returns the bit number of the most significant bit in the binary representation of value.
184	/// For positive integers, the result will be the bit number of the most significant bit set to 1.
185	/// For negative integers, the result will be the bit number of the most significant
186	/// bit set to 0. For a value of zero or negative one, -1 will be returned.
187	///
188	/// @tparam genIUType Signed or unsigned integer scalar or vector types.
189	///
190	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/findMSB.xml">GLSL findMSB man page</a>
191	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8 Integer Functions</a>
192	///
193	/// @todo Clarify the declaration to specify that scalars are suported.
194	template <typename T, template <typename> class genIUType>
195	GLM_FUNC_DECL typename genIUType<T>::signed_type findMSB(genIUType<T> const & Value);
196
197	/// @}
198}//namespace glm
199
200#include "func_integer.inl"
201
202#endif//glm_core_func_integer
203
204