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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2008-03-08
+// Updated : 2010-01-26
+// Licence : This source is under MIT License
+// File : glm/core/func_common.hpp
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+#ifndef glm_core_func_common
+#define glm_core_func_common
+
+#include "_fixes.hpp"
+
+namespace glm
+{
+ namespace core{
+ namespace function{
+ namespace common{ //!< Define common functions from Section 8.3 of GLSL 1.30.8 specification. Included in glm namespace.
+
+ /// \addtogroup core_funcs
+ ///@{
+
+ //! Returns x if x >= 0; otherwise, it returns -x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/abs.xml">GLSL abs man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genFIType>
+ genFIType abs(genFIType const & x);
+
+ //! Returns 1.0 if x > 0, 0.0 if x == 0, or -1.0 if x < 0.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sign.xml">GLSL sign man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genFIType>
+ genFIType sign(genFIType const & x);
+
+ //! Returns a value equal to the nearest integer that is less then or equal to x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floor.xml">GLSL floor man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType floor(genType const & x);
+
+ //! Returns a value equal to the nearest integer to x
+ //! whose absolute value is not larger than the absolute value of x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/trunc.xml">GLSL trunc man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType trunc(genType const & x);
+
+ //! Returns a value equal to the nearest integer to x.
+ //! The fraction 0.5 will round in a direction chosen by the
+ //! implementation, presumably the direction that is fastest.
+ //! This includes the possibility that round(x) returns the
+ //! same value as roundEven(x) for all values of x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/round.xml">GLSL round man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType round(genType const & x);
+
+ //! Returns a value equal to the nearest integer to x.
+ //! A fractional part of 0.5 will round toward the nearest even
+ //! integer. (Both 3.5 and 4.5 for x will return 4.0.)
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/roundEven.xml">GLSL roundEven man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType roundEven(genType const & x);
+
+ //! Returns a value equal to the nearest integer
+ //! that is greater than or equal to x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ceil.xml">GLSL ceil man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType ceil(genType const & x);
+
+ //! Return x - floor(x).
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fract.xml">GLSL fract man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType fract(genType const & x);
+
+ //! Modulus. Returns x - y * floor(x / y)
+ //! for each component in x using the floating point value y.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType mod(
+ genType const & x,
+ genType const & y);
+
+ //! Modulus. Returns x - y * floor(x / y)
+ //! for each component in x using the floating point value y.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType mod(
+ genType const & x,
+ typename genType::value_type const & y);
+
+ //! Returns the fractional part of x and sets i to the integer
+ //! part (as a whole number floating point value). Both the
+ //! return value and the output parameter will have the same
+ //! sign as x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/modf.xml">GLSL modf man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType modf(
+ genType const & x,
+ genType & i);
+
+ //! Returns y if y < x; otherwise, it returns x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/min.xml">GLSL min man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType min(
+ genType const & x,
+ genType const & y);
+
+ template <typename genType>
+ genType min(
+ genType const & x,
+ typename genType::value_type const & y);
+
+ //! Returns y if x < y; otherwise, it returns x.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/max.xml">GLSL max man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType max(
+ genType const & x,
+ genType const & y);
+
+ template <typename genType>
+ genType max(
+ genType const & x,
+ typename genType::value_type const & y);
+
+ //! Returns min(max(x, minVal), maxVal) for each component in x
+ //! using the floating-point values minVal and maxVal.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/clamp.xml">GLSL clamp man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType clamp(
+ genType const & x,
+ genType const & minVal,
+ genType const & maxVal);
+
+ template <typename genType>
+ genType clamp(
+ genType const & x,
+ typename genType::value_type const & minVal,
+ typename genType::value_type const & maxVal);
+
+ //! \return If genTypeU is a floating scalar or vector:
+ //! Returns x * (1.0 - a) + y * a, i.e., the linear blend of
+ //! x and y using the floating-point value a.
+ //! The value for a is not restricted to the range [0, 1].
+ //!
+ //! \return If genTypeU is a boolean scalar or vector:
+ //! Selects which vector each returned component comes
+ //! from. For a component of a that is false, the
+ //! corresponding component of x is returned. For a
+ //! component of a that is true, the corresponding
+ //! component of y is returned. Components of x and y that
+ //! are not selected are allowed to be invalid floating point
+ //! values and will have no effect on the results. Thus, this
+ //! provides different functionality than
+ //! genType mix(genType x, genType y, genType(a))
+ //! where a is a Boolean vector.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mix.xml">GLSL mix man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ //!
+ //! \param[in] x Floating point scalar or vector.
+ //! \param[in] y Floating point scalar or vector.
+ //! \param[in] a Floating point or boolean scalar or vector.
+ //!
+ // \todo Test when 'a' is a boolean.
+ template <typename genTypeT, typename genTypeU>
+ genTypeT mix(genTypeT const & x, genTypeT const & y, genTypeU const & a);
+
+ //! Returns 0.0 if x < edge, otherwise it returns 1.0.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/step.xml">GLSL step man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType step(
+ genType const & edge,
+ genType const & x);
+
+ template <typename genType>
+ genType step(
+ typename genType::value_type const & edge,
+ genType const & x);
+
+ //! Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and
+ //! performs smooth Hermite interpolation between 0 and 1
+ //! when edge0 < x < edge1. This is useful in cases where
+ //! you would want a threshold function with a smooth
+ //! transition. This is equivalent to:
+ //! genType t;
+ //! t = clamp ((x – edge0) / (edge1 – edge0), 0, 1);
+ //! return t * t * (3 – 2 * t);
+ //! Results are undefined if edge0 >= edge1.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/smoothstep.xml">GLSL smoothstep man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ genType smoothstep(
+ genType const & edge0,
+ genType const & edge1,
+ genType const & x);
+
+ template <typename genType>
+ genType smoothstep(
+ typename genType::value_type const & edge0,
+ typename genType::value_type const & edge1,
+ genType const & x);
+
+ //! Returns true if x holds a NaN (not a number)
+ //! representation in the underlying implementation's set of
+ //! floating point representations. Returns false otherwise,
+ //! including for implementations with no NaN
+ //! representations.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ typename genType::bool_type isnan(genType const & x);
+
+ //! Returns true if x holds a positive infinity or negative
+ //! infinity representation in the underlying implementation's
+ //! set of floating point representations. Returns false
+ //! otherwise, including for implementations with no infinity
+ //! representations.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isinf.xml">GLSL isinf man page</a>
+ //! \li GLSL 1.30.08 specification, section 8.3
+ template <typename genType>
+ typename genType::bool_type isinf(genType const & x);
+
+ //! Returns a signed integer value representing
+ //! the encoding of a floating-point value. The floatingpoint
+ //! value's bit-level representation is preserved.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToInt.xml">GLSL floatBitsToInt man page</a>
+ //! \li GLSL 4.00.08 specification, section 8.3
+ template <typename genType, typename genIType>
+ genIType floatBitsToInt(genType const & value);
+
+ //! Returns a unsigned integer value representing
+ //! the encoding of a floating-point value. The floatingpoint
+ //! value's bit-level representation is preserved.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToUint.xml">GLSL floatBitsToUint man page</a>
+ //! \li GLSL 4.00.08 specification, section 8.3
+ template <typename genType, typename genUType>
+ genUType floatBitsToUint(genType const & value);
+
+ //! Returns a floating-point value corresponding to a signed
+ //! integer encoding of a floating-point value.
+ //! If an inf or NaN is passed in, it will not signal, and the
+ //! resulting floating point value is unspecified. Otherwise,
+ //! the bit-level representation is preserved.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/intBitsToFloat.xml">GLSL intBitsToFloat man page</a>
+ //! \li GLSL 4.00.08 specification, section 8.3
+ template <typename genType, typename genIType>
+ genType intBitsToFloat(genIType const & value);
+
+ //! Returns a floating-point value corresponding to a
+ //! unsigned integer encoding of a floating-point value.
+ //! If an inf or NaN is passed in, it will not signal, and the
+ //! resulting floating point value is unspecified. Otherwise,
+ //! the bit-level representation is preserved.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uintBitsToFloat.xml">GLSL uintBitsToFloat man page</a>
+ //! \li GLSL 4.00.08 specification, section 8.3
+ template <typename genType, typename genUType>
+ genType uintBitsToFloat(genUType const & value);
+
+ //! Computes and returns a * b + c.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fma.xml">GLSL fma man page</a>
+ //! \li GLSL 4.00.08 specification, section 8.3
+ template <typename genType>
+ genType fma(genType const & a, genType const & b, genType const & c);
+
+ //! Splits x into a floating-point significand in the range
+ //! [0.5, 1.0) and an integral exponent of two, such that:
+ //! x = significand * exp(2, exponent)
+ //!
+ //! The significand is returned by the function and the
+ //! exponent is returned in the parameter exp. For a
+ //! floating-point value of zero, the significant and exponent
+ //! are both zero. For a floating-point value that is an
+ //! infinity or is not a number, the results are undefined.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/frexp.xml">GLSL frexp man page</a>
+ //! \li GLSL 4.00.08 specification, section 8.3
+ template <typename genType, typename genIType>
+ genType frexp(genType const & x, genIType & exp);
+
+ //! Builds a floating-point number from x and the
+ //! corresponding integral exponent of two in exp, returning:
+ //! significand * exp(2, exponent)
+ //!
+ //! If this product is too large to be represented in the
+ //! floating-point type, the result is undefined.
+ //!
+ //! \li <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ldexp.xml">GLSL ldexp man page</a>;
+ //! \li GLSL 4.00.08 specification, section 8.3
+ template <typename genType, typename genIType>
+ genType ldexp(genType const & x, genIType const & exp);
+
+ ///@}
+ }//namespace common
+ }//namespace function
+ }//namespace core
+
+ using namespace core::function::common;
+}//namespace glm
+
+#include "func_common.inl"
+
+#endif//glm_core_func_common