Arithmetic Namespace Reference

Functions
template<class T >
KoColorSpaceMathsTraits< T >::compositetype	and (T a, T b)
template<class T >
T	blend (T src, T srcAlpha, T dst, T dstAlpha, T cfValue)
template<class T >
T	clamp (typename KoColorSpaceMathsTraits< T >::compositetype a)
template<class T >
T	clampChannelToSDR (T a)
template<class T >
T	clampChannelToSDRBottom (T a)
template<class T >
T	clampToSDR (typename KoColorSpaceMathsTraits< T >::compositetype a)
template<class T >
T	clampToSDRBottom (typename KoColorSpaceMathsTraits< T >::compositetype a)
template<class T >
T	clampToSDRTop (typename KoColorSpaceMathsTraits< T >::compositetype a)
template<class T >
KoColorSpaceMathsTraits< T >::compositetype	div (T a, T b)
template<class T , typename composite_type = typename KoColorSpaceMathsTraits<T>::compositetype>
composite_type	divideInCompositeSpace (composite_type a, composite_type b)
template<class T >
T	epsilon ()
template<class T >
T	halfValue ()
template<class T >
T	inv (T a)
template<typename T >
static bool	isHalfValueFuzzy (T v)
template<typename T >
static bool	isUnitValueClampedFuzzy (T v)
template<typename T >
bool	isUnitValueClampedStrict (T value)
template<typename T >
static bool	isUnitValueFuzzy (T v)
template<typename T >
bool	isUnitValueStrict (T value)
template<typename T >
T	isUnsafeAsDivisor (T value)
template<typename T >
static bool	isZeroValueClampedFuzzy (T v)
template<typename T >
bool	isZeroValueClampedStrict (T value)
template<typename T >
static bool	isZeroValueFuzzy (T v)
template<typename T >
bool	isZeroValueStrict (T value)
template<class T >
T	lerp (T a, T b, T alpha)
template<class T >
T	max (T a, T b, T c)
template<class T >
T	min (T a, T b, T c)
template<class T >
KoColorSpaceMathsTraits< T >::compositetype	mod (T a, T b)
template<class T >
T	mul (T a, T b)
template<class T >
T	mul (T a, T b, T c)
template<class T , typename composite_type = typename KoColorSpaceMathsTraits<T>::compositetype>
composite_type	multiplyInCompositeSpace (composite_type a, composite_type b)
template<class T >
KoColorSpaceMathsTraits< T >::compositetype	or (T a, T b)
template<class TRet , class T >
TRet	scale (T a)
template<class T >
T	unionShapeOpacity (T a, T b)
template<class T >
T	unitValue ()
template<class T >
KoColorSpaceMathsTraits< T >::compositetype	xor (T a, T b)
template<class T >
T	zeroValue ()

Variables
static const qreal	pi = 3.14159265358979323846

Function Documentation

and()

template<class T >

KoColorSpaceMathsTraits< T >::compositetype Arithmetic::and ( T a, T b )

inline

Definition at line 761 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::and(a, b); }

References KoColorSpaceMaths< _T, _Tdst >::and().

blend()

template<class T >

T Arithmetic::blend ( T src, T srcAlpha, T dst, T dstAlpha, T cfValue )

inline

Definition at line 892 of file KoColorSpaceMaths.h.

                                                                    {
        return mul(inv(srcAlpha), dstAlpha, dst) + mul(inv(dstAlpha), srcAlpha, src) + mul(dstAlpha, srcAlpha, cfValue);
    }

References inv(), and mul().

clamp()

template<class T >

T Arithmetic::clamp ( typename KoColorSpaceMathsTraits< T >::compositetype a )

inline

Definition at line 768 of file KoColorSpaceMaths.h.

                                                                       {
        return KoColorSpaceMaths<T>::clamp(a);
    }

References KoColorSpaceMaths< _T, _Tdst >::clamp().

clampChannelToSDR()

template<class T >

T Arithmetic::clampChannelToSDR ( T a )

inline

Definition at line 773 of file KoColorSpaceMaths.h.

                                    {
        return KoColorSpaceMaths<T>::clampChannelToSDR(a);
    }

References KoColorSpaceMaths< _T, _Tdst >::clampChannelToSDR().

clampChannelToSDRBottom()

template<class T >

T Arithmetic::clampChannelToSDRBottom ( T a )

inline

Definition at line 778 of file KoColorSpaceMaths.h.

                                          {
        return KoColorSpaceMaths<T>::clampChannelToSDRBottom(a);
    }

References KoColorSpaceMaths< _T, _Tdst >::clampChannelToSDRBottom().

clampToSDR()

template<class T >

T Arithmetic::clampToSDR ( typename KoColorSpaceMathsTraits< T >::compositetype a )

inline

Definition at line 783 of file KoColorSpaceMaths.h.

                                                                            {
        return KoColorSpaceMaths<T>::clampToSDR(a);
    }

References KoColorSpaceMaths< _T, _Tdst >::clampToSDR().

clampToSDRBottom()

template<class T >

T Arithmetic::clampToSDRBottom ( typename KoColorSpaceMathsTraits< T >::compositetype a )

inline

Definition at line 793 of file KoColorSpaceMaths.h.

                                                                                  {
        return KoColorSpaceMaths<T>::clampToSDRBottom(a);
    }

References KoColorSpaceMaths< _T, _Tdst >::clampToSDRBottom().

clampToSDRTop()

template<class T >

T Arithmetic::clampToSDRTop ( typename KoColorSpaceMathsTraits< T >::compositetype a )

inline

Definition at line 788 of file KoColorSpaceMaths.h.

                                                                               {
        return KoColorSpaceMaths<T>::clampToSDRTop(a);
    }

References KoColorSpaceMaths< _T, _Tdst >::clampToSDRTop().

div()

template<class T >

KoColorSpaceMathsTraits< T >::compositetype Arithmetic::div ( T a, T b )

inline

Definition at line 753 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::divide(a, b); }

References KoColorSpaceMaths< _T, _Tdst >::divide().

divideInCompositeSpace()

template<class T , typename composite_type = typename KoColorSpaceMathsTraits<T>::compositetype>

composite_type Arithmetic::divideInCompositeSpace ( composite_type a, composite_type b )

inline

Definition at line 798 of file KoColorSpaceMaths.h.

                                                                                     {
        return KoColorSpaceMaths<T>::divideInCompositeSpace(a, b);
    }

References KoColorSpaceMaths< _T, _Tdst >::divideInCompositeSpace().

epsilon()

template<class T >

T Arithmetic::epsilon ( )

inline

Definition at line 897 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMathsTraits<T>::epsilon; }

halfValue()

template<class T >

T Arithmetic::halfValue ( )

inline

Definition at line 880 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMathsTraits<T>::halfValue; }

inv()

template<class T >

T Arithmetic::inv ( T a )

inline

Definition at line 743 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::invert(a); }

References KoColorSpaceMaths< _T, _Tdst >::invert().

isHalfValueFuzzy()

template<typename T >

static bool Arithmetic::isHalfValueFuzzy ( T v )

inlinestatic

Definition at line 832 of file KoColorSpaceMaths.h.

    {
        return KoColorSpaceMaths<T>::isHalfValueFuzzy(v);
    }

References KoColorSpaceMaths< _T, _Tdst >::isHalfValueFuzzy(), and v.

isUnitValueClampedFuzzy()

template<typename T >

static bool Arithmetic::isUnitValueClampedFuzzy ( T v )

inlinestatic

Definition at line 826 of file KoColorSpaceMaths.h.

    {
        return KoColorSpaceMaths<T>::isUnitValueClampedFuzzy(v);
    }

References KoColorSpaceMaths< _T, _Tdst >::isUnitValueClampedFuzzy(), and v.

isUnitValueClampedStrict()

template<typename T >

bool Arithmetic::isUnitValueClampedStrict ( T value )

inline

Definition at line 847 of file KoColorSpaceMaths.h.

                                                  {
        if constexpr (std::numeric_limits<T>::is_integer) {
            return value == KoColorSpaceMathsTraits<T>::unitValue;
        } else {
            return value >= KoColorSpaceMathsTraits<T>::unitValue;
        }
    }

References value().

isUnitValueFuzzy()

template<typename T >

static bool Arithmetic::isUnitValueFuzzy ( T v )

inlinestatic

Definition at line 814 of file KoColorSpaceMaths.h.

    {
        return KoColorSpaceMaths<T>::isUnitValueFuzzy(v);
    }

References KoColorSpaceMaths< _T, _Tdst >::isUnitValueFuzzy(), and v.

isUnitValueStrict()

template<typename T >

bool Arithmetic::isUnitValueStrict ( T value )

inline

Definition at line 838 of file KoColorSpaceMaths.h.

                                           {
        return value == KoColorSpaceMathsTraits<T>::unitValue;
    }

References value().

isUnsafeAsDivisor()

template<typename T >

T Arithmetic::isUnsafeAsDivisor ( T value )

inline

Definition at line 904 of file KoColorSpaceMaths.h.

                                        {
        return KoColorSpaceMaths<T>::isUnsafeAsDivisor(value);
    }

References KoColorSpaceMaths< _T, _Tdst >::isUnsafeAsDivisor(), and value().

isZeroValueClampedFuzzy()

template<typename T >

static bool Arithmetic::isZeroValueClampedFuzzy ( T v )

inlinestatic

Definition at line 820 of file KoColorSpaceMaths.h.

    {
        return KoColorSpaceMaths<T>::isZeroValueClampedFuzzy(v);
    }

References KoColorSpaceMaths< _T, _Tdst >::isZeroValueClampedFuzzy(), and v.

isZeroValueClampedStrict()

template<typename T >

bool Arithmetic::isZeroValueClampedStrict ( T value )

inline

Definition at line 855 of file KoColorSpaceMaths.h.

                                                  {
        if constexpr (std::numeric_limits<T>::is_integer) {
            return value == KoColorSpaceMathsTraits<T>::zeroValue;
        } else {
            return value <= KoColorSpaceMathsTraits<T>::zeroValue;
        }
    }

References value().

isZeroValueFuzzy()

template<typename T >

static bool Arithmetic::isZeroValueFuzzy ( T v )

inlinestatic

Definition at line 808 of file KoColorSpaceMaths.h.

    {
        return KoColorSpaceMaths<T>::isZeroValueFuzzy(v);
    }

References KoColorSpaceMaths< _T, _Tdst >::isZeroValueFuzzy(), and v.

isZeroValueStrict()

template<typename T >

bool Arithmetic::isZeroValueStrict ( T value )

inline

Definition at line 842 of file KoColorSpaceMaths.h.

                                           {
        return value == KoColorSpaceMathsTraits<T>::zeroValue;
    }

References value().

lerp()

template<class T >

T Arithmetic::lerp ( T a, T b, T alpha )

inline

Definition at line 746 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::blend(b, a, alpha); }

References KoColorSpaceMaths< _T, _Tdst >::blend().

max()

template<class T >

T Arithmetic::max ( T a, T b, T c )

inline

Definition at line 871 of file KoColorSpaceMaths.h.

                                {
        b = (a > b) ? a : b;
        return (b > c) ? b : c;
    }

min()

template<class T >

T Arithmetic::min ( T a, T b, T c )

inline

Definition at line 865 of file KoColorSpaceMaths.h.

                                {
        b = (a < b) ? a : b;
        return (b < c) ? b : c;
    }

mod()

template<class T >

KoColorSpaceMathsTraits< T >::compositetype Arithmetic::mod ( T a, T b )

inline

Definition at line 901 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::modulus(a, b); }    

References KoColorSpaceMaths< _T, _Tdst >::modulus().

mul() [1/2]

template<class T >

T Arithmetic::mul ( T a, T b )

inline

Definition at line 725 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::multiply(a, b); }

References KoColorSpaceMaths< _T, _Tdst >::multiply().

mul() [2/2]

template<class T >

T Arithmetic::mul ( T a, T b, T c )

inline

Definition at line 728 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::multiply(a, b, c); }

References KoColorSpaceMaths< _T, _Tdst >::multiply().

multiplyInCompositeSpace()

template<class T , typename composite_type = typename KoColorSpaceMathsTraits<T>::compositetype>

composite_type Arithmetic::multiplyInCompositeSpace ( composite_type a, composite_type b )

inline

Definition at line 803 of file KoColorSpaceMaths.h.

                                                                                       {
        return KoColorSpaceMaths<T>::multiplyInCompositeSpace(a, b);
    }

References KoColorSpaceMaths< _T, _Tdst >::multiplyInCompositeSpace().

or()

template<class T >

KoColorSpaceMathsTraits< T >::compositetype Arithmetic::or ( T a, T b )

inline

Definition at line 765 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::or(a, b); }

References KoColorSpaceMaths< _T, _Tdst >::or().

scale()

template<class TRet , class T >

TRet Arithmetic::scale ( T a )

inline

Definition at line 749 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T,TRet>::scaleToA(a); }

References KoColorSpaceMaths< _T, _Tdst >::scaleToA().

unionShapeOpacity()

template<class T >

T Arithmetic::unionShapeOpacity ( T a, T b )

inline

Definition at line 886 of file KoColorSpaceMaths.h.

                                         {
        typedef typename KoColorSpaceMathsTraits<T>::compositetype composite_type;
        return T(composite_type(a) + b - mul(a,b));
    }

References mul().

unitValue()

template<class T >

T Arithmetic::unitValue ( )

inline

Definition at line 883 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMathsTraits<T>::unitValue; }

xor()

template<class T >

KoColorSpaceMathsTraits< T >::compositetype Arithmetic::xor ( T a, T b )

inline

Definition at line 757 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMaths<T>::xor(a, b); }

References KoColorSpaceMaths< _T, _Tdst >::xor().

zeroValue()

template<class T >

T Arithmetic::zeroValue ( )

inline

Definition at line 877 of file KoColorSpaceMaths.h.

{ return KoColorSpaceMathsTraits<T>::zeroValue; }

Variable Documentation

pi

const qreal Arithmetic::pi = 3.14159265358979323846

static

Definition at line 722 of file KoColorSpaceMaths.h.