/// @ref core /// @file glm/common.hpp /// /// @see GLSL 4.20.8 specification, section 8.3 Common Functions /// /// @defgroup core_func_common Common functions /// @ingroup core /// /// Include to use these core features. /// /// These all operate component-wise. The description is per component. #pragma once #include "detail/setup.hpp" #include "detail/qualifier.hpp" #include "detail/type_int.hpp" #include "detail/_fixes.hpp" namespace glm { /// @addtogroup core_func_common /// @{ /// Returns x if x >= 0; otherwise, it returns -x. /// /// @tparam genType floating-point or signed integer; scalar or vector types. /// /// @see GLSL abs man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions /// @see qualifier template GLM_FUNC_DECL GLM_CONSTEXPR genType abs(genType x); /// Returns x if x >= 0; otherwise, it returns -x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point or signed integer scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL abs man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL GLM_CONSTEXPR vec abs(vec const& x); /// Returns 1.0 if x > 0, 0.0 if x == 0, or -1.0 if x < 0. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL sign man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec sign(vec const& x); /// Returns a value equal to the nearest integer that is less then or equal to x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL floor man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec floor(vec const& x); /// Returns a value equal to the nearest integer to x /// whose absolute value is not larger than the absolute value of x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL trunc man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec trunc(vec 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. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL round man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec round(vec 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.) /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL roundEven man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions /// @see New round to even technique template GLM_FUNC_DECL vec roundEven(vec const& x); /// Returns a value equal to the nearest integer /// that is greater than or equal to x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL ceil man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec ceil(vec const& x); /// Return x - floor(x). /// /// @tparam genType Floating-point scalar or vector types. /// /// @see GLSL fract man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType fract(genType x); /// Return x - floor(x). /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL fract man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec fract(vec const& x); template GLM_FUNC_DECL genType mod(genType x, genType y); template GLM_FUNC_DECL vec mod(vec const& x, T y); /// Modulus. Returns x - y * floor(x / y) /// for each component in x using the floating point value y. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types, include glm/gtc/integer for integer scalar types support /// @tparam Q Value from qualifier enum /// /// @see GLSL mod man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec mod(vec const& x, vec 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. /// /// @tparam genType Floating-point scalar or vector types. /// /// @see GLSL modf man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType modf(genType x, genType& i); /// Returns y if y < x; otherwise, it returns x. /// /// @tparam genType Floating-point or integer; scalar or vector types. /// /// @see GLSL min man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType min(genType x, genType y); /// Returns y if y < x; otherwise, it returns x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point or integer scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL min man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec min(vec const& x, T y); /// Returns y if y < x; otherwise, it returns x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point or integer scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL min man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec min(vec const& x, vec const& y); /// Returns y if x < y; otherwise, it returns x. /// /// @tparam genType Floating-point or integer; scalar or vector types. /// /// @see GLSL max man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType max(genType x, genType y); /// Returns y if x < y; otherwise, it returns x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point or integer scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL max man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec max(vec const& x, T y); /// Returns y if x < y; otherwise, it returns x. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point or integer scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL max man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec max(vec const& x, vec const& y); /// Returns min(max(x, minVal), maxVal) for each component in x /// using the floating-point values minVal and maxVal. /// /// @tparam genType Floating-point or integer; scalar or vector types. /// /// @see GLSL clamp man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType clamp(genType x, genType minVal, genType maxVal); /// Returns min(max(x, minVal), maxVal) for each component in x /// using the floating-point values minVal and maxVal. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point or integer scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL clamp man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec clamp(vec const& x, T minVal, T maxVal); /// Returns min(max(x, minVal), maxVal) for each component in x /// using the floating-point values minVal and maxVal. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point or integer scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL clamp man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec clamp(vec const& x, vec const& minVal, vec const& maxVal); /// 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]. /// /// 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. /// /// @see GLSL mix man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions /// /// @param[in] x Value to interpolate. /// @param[in] y Value to interpolate. /// @param[in] a Interpolant. /// /// @tparam genTypeT Floating point scalar or vector. /// @tparam genTypeU Floating point or boolean scalar or vector. It can't be a vector if it is the length of genTypeT. /// /// @code /// #include /// ... /// float a; /// bool b; /// glm::dvec3 e; /// glm::dvec3 f; /// glm::vec4 g; /// glm::vec4 h; /// ... /// glm::vec4 r = glm::mix(g, h, a); // Interpolate with a floating-point scalar two vectors. /// glm::vec4 s = glm::mix(g, h, b); // Returns g or h; /// glm::dvec3 t = glm::mix(e, f, a); // Types of the third parameter is not required to match with the first and the second. /// glm::vec4 u = glm::mix(g, h, r); // Interpolations can be perform per component with a vector for the last parameter. /// @endcode template GLM_FUNC_DECL genTypeT mix(genTypeT x, genTypeT y, genTypeU a); template GLM_FUNC_DECL vec mix(vec const& x, vec const& y, vec const& a); template GLM_FUNC_DECL vec mix(vec const& x, vec const& y, U a); /// Returns 0.0 if x < edge, otherwise it returns 1.0 for each component of a genType. /// /// @see GLSL step man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType step(genType edge, genType x); /// Returns 0.0 if x < edge, otherwise it returns 1.0. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL step man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec step(T edge, vec const& x); /// Returns 0.0 if x < edge, otherwise it returns 1.0. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL step man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec step(vec const& edge, vec 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. /// /// @tparam genType Floating-point scalar or vector types. /// /// @see GLSL smoothstep man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType smoothstep(genType edge0, genType edge1, genType x); template GLM_FUNC_DECL vec smoothstep(T edge0, T edge1, vec const& x); template GLM_FUNC_DECL vec smoothstep(vec const& edge0, vec const& edge1, vec 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. /// /// /!\ When using compiler fast math, this function may fail. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL isnan man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec isnan(vec 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. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam T Floating-point scalar types /// @tparam Q Value from qualifier enum /// /// @see GLSL isinf man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec isinf(vec const& x); /// Returns a signed integer value representing /// the encoding of a floating-point value. The floating-point /// value's bit-level representation is preserved. /// /// @see GLSL floatBitsToInt man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions GLM_FUNC_DECL int floatBitsToInt(float const& v); /// Returns a signed integer value representing /// the encoding of a floating-point value. The floatingpoint /// value's bit-level representation is preserved. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam Q Value from qualifier enum /// /// @see GLSL floatBitsToInt man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec floatBitsToInt(vec const& v); /// Returns a unsigned integer value representing /// the encoding of a floating-point value. The floatingpoint /// value's bit-level representation is preserved. /// /// @see GLSL floatBitsToUint man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions GLM_FUNC_DECL uint floatBitsToUint(float const& v); /// Returns a unsigned integer value representing /// the encoding of a floating-point value. The floatingpoint /// value's bit-level representation is preserved. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam Q Value from qualifier enum /// /// @see GLSL floatBitsToUint man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec floatBitsToUint(vec const& v); /// 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. /// /// @see GLSL intBitsToFloat man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions GLM_FUNC_DECL float intBitsToFloat(int const& v); /// 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. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam Q Value from qualifier enum /// /// @see GLSL intBitsToFloat man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec intBitsToFloat(vec const& v); /// 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. /// /// @see GLSL uintBitsToFloat man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions GLM_FUNC_DECL float uintBitsToFloat(uint const& v); /// 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. /// /// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector /// @tparam Q Value from qualifier enum /// /// @see GLSL uintBitsToFloat man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL vec uintBitsToFloat(vec const& v); /// Computes and returns a * b + c. /// /// @tparam genType Floating-point scalar or vector types. /// /// @see GLSL fma man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL 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. /// /// @tparam genType Floating-point scalar or vector types. /// /// @see GLSL frexp man page /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL 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. /// /// @tparam genType Floating-point scalar or vector types. /// /// @see GLSL ldexp man page; /// @see GLSL 4.20.8 specification, section 8.3 Common Functions template GLM_FUNC_DECL genType ldexp(genType const& x, genIType const& exp); /// @} }//namespace glm #include "detail/func_common.inl"