glm::core::function::common Namespace Reference

Define common functions from Section 8.3 of GLSL 1.30.8 specification. Included in glm namespace. More...

Functions
template<typename genFIType >
genFIType	abs (genFIType const &x)
	Returns x if x >= 0; otherwise, it returns -x.
template<typename genType >
genType	ceil (genType const &x)
	Returns a value equal to the nearest integer that is greater than or equal to x.
template<typename genType >
genType	clamp (genType const &x, genType const &minVal, genType const &maxVal)
	Returns min(max(x, minVal), maxVal) for each component in x.
template<typename genType , typename genIType >
genIType	floatBitsToInt (genType const &value)
	Returns a signed or unsigned integer value representing the encoding of a floating-point value.
template<typename genType >
genType	floor (genType const &x)
	Returns a value equal to the nearest integer that is less then or equal to x.
template<typename genType >
genType	fma (genType const &a, genType const &b, genType const &c)
	Computes and returns a * b + c.
template<typename genType >
genType	fract (genType const &x)
	Return x - floor(x).
template<typename genType , typename genIType >
genType	frexp (genType const &x, genIType &exp)
	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.
template<typename genType , typename genIUType >
genType	intBitsToFloat (genIUType const &value)
	Returns a floating-point value corresponding to a signed or unsigned integer encoding of a floating-point value.
template<typename genType >
genType::bool_type	isinf (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.
template<typename genType >
genType::bool_type	isnan (genType const &x)
	Returns true if x holds a NaN (not a number) representation in the underlying implementation's set of floating point representations.
template<typename genType , typename genIType >
genType	ldexp (genType const &x, genIType const &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.
template<typename genType >
genType	max (genType const &x, genType const &y)
	Returns y if x < y; otherwise, it returns x.
template<typename genType >
genType	min (genType const &x, genType const &y)
	Returns y if y < x; otherwise, it returns x.
template<typename genTypeT , typename genTypeU >
genTypeT	mix (genTypeT const &x, genTypeT const &y, genTypeU const &a)
template<typename genType >
genType	mod (genType const &x, genType const &y)
	Modulus.
template<typename genType >
genType	mod (genType const &x, typename genType::value_type const &y)
	Modulus.
template<typename genType >
genType	modf (genType const &x, genType &i)
	Returns the fractional part of x and sets i to the integer part (as a whole number floating point value).
template<typename genType >
genType	round (genType const &x)
	Returns a value equal to the nearest integer to x.
template<typename genType >
genType	roundEven (genType const &x)
	Returns a value equal to the nearest integer to x.
template<typename genFIType >
genFIType	sign (genFIType const &x)
	Returns 1.0 if x > 0, 0.0 if x = 0, or -1.0 if x < 0.
template<typename genType >
genType	smoothstep (genType const &edge0, genType const &edge1, 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.
template<typename genType >
genType	step (genType const &edge, genType const &x)
	Returns 0.0 if x < edge, otherwise it returns 1.0.
template<typename genType >
genType	trunc (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.

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Detailed Description

Define common functions from Section 8.3 of GLSL 1.30.8 specification. Included in glm namespace.

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Function Documentation

genFIType glm::core::function::common::abs

(

genFIType const &

x

)

Returns x if x >= 0; otherwise, it returns -x.

(From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::ceil

(

genType const &

x

)

Returns a value equal to the nearest integer that is greater than or equal to x.

(From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::clamp	(	genType const &	x,
		genType const &	minVal,
		genType const &	maxVal
	)

Returns min(max(x, minVal), maxVal) for each component in x.

using the floating-point values minVal and maxVal. (From GLSL 1.30.08 specification, section 8.3)

Referenced by glm::gtx::compatibility::saturate().

genUType floatBitsToInt

(

genType const &

value

)

Returns a signed or unsigned integer value representing the encoding of a floating-point value.

The floatingpoint value's bit-level representation is preserved. (From GLSL 4.00.08 specification, section 8.3)

genType glm::core::function::common::floor

(

genType const &

x

)

Returns a value equal to the nearest integer that is less then or equal to x.

(From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::fma	(	genType const &	a,
		genType const &	b,
		genType const &	c
	)

Computes and returns a * b + c.

(From GLSL 4.00.08 specification, section 8.3)

genType glm::core::function::common::fract

(

genType const &

x

)

Return x - floor(x).

(From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::frexp	(	genType const &	x,
		genIType &	exp
	)

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. (From GLSL 4.00.08 specification, section 8.3)

genType glm::core::function::common::intBitsToFloat

(

genIUType const &

value

)

Returns a floating-point value corresponding to a signed or 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. (From GLSL 4.00.08 specification, section 8.3)

genType::bool_type glm::core::function::common::isinf

(

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. (From GLSL 1.30.08 specification, section 8.3)

genType::bool_type glm::core::function::common::isnan

(

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. (From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::ldexp	(	genType const &	x,
		genIType const &	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.

(From GLSL 4.00.08 specification, section 8.3)

genType glm::core::function::common::max	(	genType const &	x,
		genType const &	y
	)

Returns y if x < y; otherwise, it returns x.

(From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::min	(	genType const &	x,
		genType const &	y
	)

Returns y if y < x; otherwise, it returns x.

(From GLSL 1.30.08 specification, section 8.3)

genTypeT glm::core::function::common::mix	(	genTypeT const &	x,
		genTypeT const &	y,
		genTypeU const &	a
	)

Returns:

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.

From GLSL 1.30.08 specification, section 8.3

Parameters:

[in]	x	Floating point scalar or vector.
[in]	y	Floating point scalar or vector.
[in]	a	Floating point or boolean scalar or vector.

Referenced by glm::gtx::compatibility::lerp().

genType glm::core::function::common::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. (From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::mod	(	genType const &	x,
		typename genType::value_type const &	y
	)

Modulus.

Returns x - y * floor(x / y) for each component in x using the floating point value y. (From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::modf	(	genType const &	x,
		genType &	i
	)

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. (From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::round

(

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. (From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::roundEven

(

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.) (From GLSL 1.30.08 specification, section 8.3)

genFIType glm::core::function::common::sign

(

genFIType const &

x

)

Returns 1.0 if x > 0, 0.0 if x = 0, or -1.0 if x < 0.

(From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::smoothstep	(	genType const &	edge0,
		genType const &	edge1,
		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. (From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::step	(	genType const &	edge,
		genType const &	x
	)

Returns 0.0 if x < edge, otherwise it returns 1.0.

(From GLSL 1.30.08 specification, section 8.3)

genType glm::core::function::common::trunc

(

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.

(From GLSL 1.30.08 specification, section 8.3)