Namespaces
namespace	tmpl
Classes
struct	Abs
struct	AbsExpression
struct	AbsFunctExpression
struct	AbsStruct
struct	AuxProduct
struct	AuxProduct< Prod, false >
struct	AuxProductRatio
struct	AuxProductRatio2
struct	AuxProductRatio2< Prod, false >
struct	AuxProductRatio< Prod, false >
struct	AuxSum
struct	AuxSum< Prod, false >
struct	AuxSumRatio
struct	BreitWigner
struct	Composition
struct	CompositionStruct
struct	ConstPrimitive
struct	ConstPrimitive< X, F, true >
struct	Convolution
class	ConvolutionStruct
struct	Cos
struct	CosStruct
struct	DecomposePower
struct	DecomposePower< A, Numerical< 1 > >
struct	DecomposeProduct
struct	DecomposeProduct< A, A >
struct	DecomposeProduct< ProductStruct< A, B >, A >
struct	DecomposeProduct< ProductStruct< A, B >, B >
struct	DefIntegral
struct	DefIntegral< F, MIN, MAX, Integrator, no_var >
struct	DefIntegral< F, MIN, MAX, no_var, no_var >
struct	DefIntegral< F, MIN, MAX, no_var, X >
struct	Derivative
struct	Difference
struct	Difference< FractionStruct< a, b >, FractionStruct< c, d > >
struct	Difference< Numerical< a >, FractionStruct< b, c > >
struct	Difference< Numerical< n >, Numerical< m > >
struct	Exp
struct	Exponential
struct	Expression
struct	ExpressionT
struct	ExpStruct
struct	FactorizeSum
struct	Fraction
struct	Fraction< n, m, false, false >
struct	Fraction< n, m, false, true >
struct	Fraction< n, m, true, false >
struct	FractionStruct
struct	FunctExpression
struct	FunctExpressionT
struct	Function
struct	Function< X1, null_var, null_var >
struct	Function< X1, X2, null_var >
struct	GammaPropagator
struct	GammaZInterference
struct	Gaussian
class	GaussIntegrator
class	GaussLegendreIntegrator
class	HistoPdf
struct	Identity
struct	Integral
struct	IntegralStruct
struct	IntegralStruct< F >
struct	Log
struct	LogStruct
struct	Master
struct	Minus
struct	Minus< Numerical< n > >
struct	MinusStruct
struct	NthDerivative
struct	NthDerivative< 0, X, F >
struct	NthDerivative< 1, X, F >
struct	Number
struct	Numerical
struct	NumericalIntegral
struct	NumericalIntegral< Integrator, F, no_var >
struct	NumPower
struct	NumPower< 1, m, posM >
struct	NumPower< n, 0, true >
struct	NumPower< n, 1, true >
struct	NumPower< n, m, false >
class	Parameter
struct	Parametric
struct	Parametric< FractionStruct< n, m > >
struct	Parametric< Numerical< n > >
struct	ParametricDiv1
struct	ParametricDivN
struct	ParametricSimplifiedSum
struct	ParametricSimplifiedSum< 1, 1, A, false >
struct	ParametricSimplifiedSum< 1, 1, A, true >
struct	ParametricSimplifiedSum< n, m, A, false >
struct	PartIntegral
struct	PartIntegral2
class	Polynomial
class	Polynomial< 0 >
class	Polynomial< 1 >
class	Polynomial< 2 >
struct	PositiveFraction
struct	PositiveFraction< n, m, gcd, num, 1 >
struct	Power
struct	Power< Numerical< n >, Numerical< m > >
struct	PowerStruct
struct	Primitive
struct	Primitive< F >
struct	Primitive< Parameter >
struct	Product
struct	Product< FractionStruct< a, b >, FractionStruct< c, d > >
struct	Product< FractionStruct< b, c >, Numerical< a > >
struct	Product< Numerical< a >, FractionStruct< b, c > >
struct	Product< Numerical< n >, Numerical< m > >
struct	Product< PROD_S(F, G), H >
struct	ProductPrimitive
struct	ProductStruct
struct	Ratio
struct	Ratio< FractionStruct< a, b >, FractionStruct< c, d > >
struct	Ratio< FractionStruct< b, c >, Numerical< a > >
struct	Ratio< Numerical< a >, FractionStruct< b, c > >
struct	Ratio< Numerical< n >, Numerical< 1 > >
struct	Ratio< Numerical< n >, Numerical< m > >
struct	RatioP1
struct	RatioP2
struct	RatioPrimitive
struct	RatioStruct
class	RootHistoPdf
struct	RootIntegrator
struct	Sgn
struct	SgnStruct
struct	SimpifyS2C2Sum
struct	SimplifyNegativeRatio
struct	SimplifyNegativeRatio< n, A, false >
struct	SimplifyPowerProduct
struct	SimplifyPowerProduct< A, B, C, false >
struct	SimplifyPowerRatio
struct	SimplifyPowerRatio< A, B, C, false >
struct	SimplifyRatioSum
struct	SimplifySCRatio
struct	SimplifySignedPower
struct	SimplifySTnProduct
struct	SimplifySTProduct
struct	SimplifySTRatio
struct	SimplSumOrd
struct	Sin
struct	SinStruct
struct	Slave
struct	Sqrt
struct	SqrtStruct
struct	Square
struct	Sum
struct	Sum< A, A >
struct	Sum< A, PROD_S(NUM(n), A) >
struct	Sum< FractionStruct< a, b >, FractionStruct< c, d > >
struct	Sum< FractionStruct< b, c >, Numerical< a > >
struct	Sum< MINUS_S(A), MINUS_S(A) >
struct	Sum< MINUS_S(PROD_S(A, B)), MINUS_S(PROD_S(A, B)) >
struct	Sum< NUM(n), NUM(n) >
struct	Sum< Numerical< a >, FractionStruct< b, c > >
struct	Sum< Numerical< n >, Numerical< m > >
struct	Sum< PROD_S(A, B), PROD_S(A, B) >
struct	Sum< PROD_S(NUM(n), A), A >
struct	Sum< PROD_S(NUM(n), A), PROD_S(NUM(m), A) >
struct	Sum< PROD_S(NUM(n), A), PROD_S(NUM(n), A) >
struct	Sum< SUM_S(A, B), C >
struct	Sum< SUM_S(A, B), PROD_S(C, D) >
struct	SumStruct
struct	Tan
struct	TanStruct
class	TrapezoidIntegrator
struct	UndefinedIntegral
class	ZLineShape
Typedefs
typedef Polynomial< 0 >	Constant
Functions
template<typename T >
Abs< T >::type	abs (const T &t)
template<typename A , typename B >
funct::Composition< A, B >::type	compose (const A &a, const B &b)
template<typename A , typename B , typename Integrator >
funct::Convolution< A, B, Integrator >::type	conv (const A &a, const B &b, double min, double max, const Integrator &i)
template<typename T >
Cos< T >::type	cos (const T &t)
	COS_RULE (TYPT1, MINUS_S(A), COS(A), cos(_._))
	COS_S (A)>
	DERIV_RULE (TYPXT1, EXP_S(A), PROD(EXP(A), DERIV(X, A)), _ *derivative< X >(_._))
	DERIV_RULE (TYPXT2, PROD_S(A, B), SUM(PROD(DERIV(X, A), B), PROD(A, DERIV(X, B))), derivative< X >(_._1)_._2+_._1 derivative< X >(_._2))
	DERIV_RULE (TYPXT2, RATIO_S(A, B), RATIO(DIFF(PROD(DERIV(X, A), B), PROD(A, DERIV(X, B))), SQUARE(B)),(derivative< X >(_._1)_._2-_._1 derivative< X >(_._2))/sqr(_._2))
	DERIV_RULE (TYPXT1, LOG_S(A), PROD(RATIO(NUM(1), A), DERIV(X, A)),(num< 1 >()/_._)*derivative< X >(_._))
	DERIV_RULE (TYPXN1T1, POWER_S(A, NUM(n)), PROD(PROD(NUM(n), POWER(A, NUM(n-1))), DERIV(X, A)), _._2 pow(_._1, num< n-1 >())derivative< X >(_._1))
	DERIV_RULE (TYPXN2T1, POWER_S(A, FRACT_S(n, m)), PROD(PROD(FRACT(n, m), POWER(A, FRACT(n-m, n))), DERIV(X, A)), _._2 pow(_._1, fract< n-m, m >())derivative< X >(_._1))
	DERIV_RULE (TYPXT1, ABS_S(A), PROD(SGN(A), DERIV(X, A)), sgn(_._)*derivative< X >(_._))
	DERIV_RULE (TYPXT1, SQRT_S(A), PROD(PROD(FRACT(1, 2), RATIO(NUM(1), SQRT(A))), DERIV(X, A)),(fract< 1, 2 >()(num< 1 >()/sqrt(_._)))derivative< X >(_._))
	DERIV_RULE (TYPXT1, SIN_S(A), PROD(COS(A), DERIV(X, A)), cos(_._)*derivative< X >(_._))
	DERIV_RULE (TYPXT1, TAN_S(A), PROD(RATIO(NUM(1), SQUARE(COS(A))), DERIV(X, A)),(num< 1 >()/sqr(cos(_._)))*derivative< X >(_._))
	DERIV_RULE (TYPXT1, COS_S(A), MINUS(PROD(SIN(A), DERIV(X, A))),-(sin(_._)*derivative< X >(_._)))
	DERIV_RULE (TYPX, X, NUM(1), num< 1 >())
	DERIV_RULE (TYPXT2, SUM_S(A, B), SUM(DERIV(X, A), DERIV(X, B)), derivative< X >(_._1)+derivative< X >(_._2))
	DERIV_RULE (TYPXT1, MINUS_S(A), MINUS(DERIV(X, A)),-derivative< X >(_._))
A	derivative (const A &_)
	DIFF_RULE (TYPT2, A, MINUS_S(B), SUM(A, B), _1+_2._)
template<typename T >
Exp< T >::type	exp (const T &t)
	EXP_RULE (TYPT1, LOG_S(A), A, _._)
template<int n, int m>
const Fraction< n, m >::type &	fract ()
template<typename X , typename F >
Integral< F, X >::type	integral (const F &f)
template<typename X , typename F , typename Integrator >
Integral< F, X >::type	integral (const F &f, const Integrator &integrator)
template<typename X , typename F >
double	integral (const F &f, double min, double max)
template<typename X , typename F , typename Integrator >
double	integral (const F &f, double min, double max, const Integrator &integrator)
template<typename F , typename Integrator >
Integral< F >::type	integral_f (const F &f, const Integrator &integrator)
template<typename F >
Integral< F >::type	integral_f (const F &f)
template<typename F >
double	integral_f (const F &f, double min, double max)
template<typename F , typename Integrator >
double	integral_f (const F &f, double min, double max, const Integrator &integrator)
template<typename T >
Log< T >::type	log (const T &t)
	LOG_RULE (TYPT1, EXP_S(A), A, _._)
	LOG_RULE (TYPT2, POWER_S(A, B), PROD(B, LOG(A)), _._2 *log(_._1))
	LOG_RULE (TYPT2, PROD_S(A, B), SUM(LOG(A), LOG(B)), log(_._1)+log(_._2))
	LOG_RULE (TYPT2, RATIO_S(A, B), DIFF(LOG(A), LOG(B)), log(_._1)-log(_._2))
template<typename F >
Master< F >	master (const F &f)
	MINUS_RULE (TYPT1, MINUS_S(A), A, _._)
	MINUS_RULE (TYPT2, SUM_S(A, B), SUM(MINUS(A), MINUS(B)),(-_._1)+(-_._2))
	MINUS_S (B)>
	MINUS_S (C)>
	MINUS_S (PROD_S(B, C))>
	MINUS_S (PROD_S(C, D))>
	MINUS_S (A) >
	NON_PARAMETRIC_BINARY (SumStruct)
	NON_PARAMETRIC_BINARY (ProductStruct)
	NON_PARAMETRIC_BINARY (PowerStruct)
	NON_PARAMETRIC_BINARY (RatioStruct)
	NON_PARAMETRIC_UNARY (AbsStruct)
	NON_PARAMETRIC_UNARY (SgnStruct)
	NON_PARAMETRIC_UNARY (ExpStruct)
	NON_PARAMETRIC_UNARY (LogStruct)
	NON_PARAMETRIC_UNARY (SinStruct)
	NON_PARAMETRIC_UNARY (CosStruct)
	NON_PARAMETRIC_UNARY (MinusStruct)
	NON_PARAMETRIC_UNARY (TanStruct)
template<unsigned n, typename X , typename F >
NthDerivative< n, X, F >::type	nth_derivative (const F &f)
	NUM (m)>
A	NUM (1) >
template<int n>
const Numerical< n > &	num ()
	NUM (n))
	NUM (2))
template<typename A , typename B >
Product< A, B >::type	operator* (const A &a, const B &b)
template<typename A , typename B >
Sum< A, B >::type	operator+ (const A &a, const B &b)
template<typename A , typename B >
Difference< A, B >::type	operator- (const A &a, const B &b)
template<typename A >
Minus< A >::type	operator- (const A &a)
template<typename A , typename B >
Ratio< A, B >::type	operator/ (const A &a, const B &b)
template<typename A , typename B >
std::ostream &	operator<< (std::ostream &cout, const funct::SumStruct< funct::MinusStruct< A >, funct::MinusStruct< B > > &f)
template<typename A , typename B >
std::ostream &	operator<< (std::ostream &cout, const funct::SumStruct< A, funct::MinusStruct< B > > &f)
template<typename A , typename B >
std::ostream &	operator<< (std::ostream &cout, const funct::SumStruct< funct::MinusStruct< A >, B > &f)
template<typename A , int n>
std::ostream &	operator<< (std::ostream &cout, const funct::SumStruct< A, funct::Numerical< n > > &f)
template<typename A , int n>
std::ostream &	operator<< (std::ostream &cout, const funct::SumStruct< funct::MinusStruct< A >, funct::Numerical< n > > &f)
std::ostream &	operator<< (std::ostream &cout, const funct::Parameter &p)
template<typename X1 , typename X2 , typename X3 >
std::ostream &	operator<< (std::ostream &cout, const Function< X1, X2, X3 > &f)
std::ostream &	operator<< (std::ostream &cout, const Expression &e)
template<int n>
std::ostream &	operator<< (std::ostream &cout, const Numerical< n > &)
template<int n, int m>
std::ostream &	operator<< (std::ostream &cout, const funct::FractionStruct< n, m > &)
template<int n, int m>
std::ostream &	operator<< (std::ostream &cout, const funct::MinusStruct< funct::FractionStruct< n, m > > &)
template<typename A , typename B >
Power< A, B >::type	operator^ (const A &a, const B &b)
	PARENTHESES (ProductStruct, SumStruct," ")
	PARENTHESES (ProductStruct, RatioStruct," ")
	PARENTHESES (RatioStruct, SumStruct,"/")
	PARENTHESES (RatioStruct, ProductStruct,"/")
	PARENTHESES (RatioStruct, RatioStruct,"/")
	PARENTHESES (PowerStruct, SumStruct,"^")
	PARENTHESES (PowerStruct, ProductStruct,"^")
	PARENTHESES (PowerStruct, RatioStruct,"^")
	PARENTHESES_1 (MinusStruct, SumStruct,"-")
	PARENTHESES_FRACT (RatioStruct,"/")
	PARENTHESES_FRACT (PowerStruct,"^")
template<typename A , typename B >
Power< A, B >::type	pow (const A &a, const B &b)
	POWER_RULE (TYPT1, A, NUM(1), A, _1)
	POWER_RULE (TYPT1, A, NUM(-1), RATIO(NUM(1), A), num< 1 >()/_1)
	POWER_RULE (TYPT1, A, FRACT_S(1, 2), SQRT(A), sqrt(_1))
	POWER_RULE (TYPT1, A, NUM(0), NUM(1), num< 1 >())
	POWER_RULE (TYPT3, POWER_S(A, B), C, POWER(A, SUM(B, C)), pow(_1._1, _1._2+_2))
	POWER_RULE (TYPN1T2, POWER_S(A, B), NUM(n), POWER(A, SUM(B, NUM(n))), pow(_1._1, _1._2+_2))
	POWER_RULE (TYPT2, PROD_S(A, B), NUM(0), NUM(1), num< 1 >())
	POWER_S (A, C) >
	POWER_S (A, B) >
	POWER_S (TAN_S(A), B)>
	POWER_S (TAN_S(A), NUM(n))>
	POWER_S (COS_S(A), NUM(2))>
	POWER_S (SIN_S(A), NUM(2))>
	POWER_S (A, NUM(n))>
	POWER_S (A, NUM(m))>
	PRIMIT_RULE (TYPXT1, MINUS_S(A), MINUS(PRIMIT(X, A)),-primitive< X >(_._))
	PRIMIT_RULE (TYPXN1, RATIO_S(NUM(1), POWER_S(X, NUM(n))), RATIO(NUM(-1), PROD(NUM(n-1), POWER(X, NUM(n-1)))), num<-1 >()/(num< n-1 >()*pow(_._2._1, num< n-1 >())))
	PRIMIT_RULE (TYPXN1, POWER_S(X, NUM(n)), RATIO(POWER(X, NUM(n+1)), NUM(n+1)), pow(_._1, num< n+1 >())/num< n+1 >())
	PRIMIT_RULE (TYPX, RATIO_S(NUM(1), X), LOG(ABS(X)), log(abs(_._2)))
	PRIMIT_RULE (TYPXT2, SUM_S(A, B), SUM(PRIMIT(X, A), PRIMIT(X, B)), primitive< X >(_._1)+primitive< X >(_._2))
	PRIMIT_RULE (TYPXT2, POWER_S(A, B), UndefinedIntegral, type())
	PRIMIT_RULE (TYPX, X, RATIO(POWER(X, NUM(2)), NUM(2)), pow(_, num< 2 >())/num< 2 >())
	PRIMIT_RULE (TYPX, SGN_S(X), ABS(X), abs(_._))
	PRIMIT_RULE (TYPXN1, POWER_S(RATIO_S(NUM(1), X), NUM(n)), RATIO(NUM(-1), PROD(NUM(n-1), POWER(X, NUM(n-1)))), num<-1 >()/(num< n-1 >()*pow(_._1._2, num< n-1 >())))
	PRIMIT_RULE (TYPXN2, POWER_S(X, FRACT_S(n, m)), PROD(FRACT(m, n+m), POWER(X, FRACT(n+m, m))),(fract< m, n+m >()*pow(_._1, fract< n+m, m >())))
	PRIMIT_RULE (TYPX, SQRT_S(X), PRIMIT(X, POWER_S(X, FRACT_S(1, 2))),(fract< 2, 3 >()*pow(_._, fract< 3, 2 >())))
	PRIMIT_RULE (TYPX, EXP_S(X), EXP(X), _)
	PRIMIT_RULE (TYPX, LOG_S(X), PROD(X, DIFF(LOG(X), NUM(1))), _._ *(_-num< 1 >()))
	PRIMIT_RULE (TYPX, SIN_S(X), MINUS(COS(X)),-cos(_._))
	PRIMIT_RULE (TYPX, COS_S(X), SIN(X), sin(_._))
	PRIMIT_RULE (TYPX, TAN_S(X), MINUS(LOG(ABS(COS(X)))),-log(abs(cos(_._))))
	PRIMIT_RULE (TYPX, POWER_S(X, NUM(-1)), LOG(ABS(X)), log(abs(_._1)))
	PRIMIT_RULE (TYPX, RATIO_S(NUM(1), POWER_S(COS_S(X), NUM(2))), TAN(X), tan(_._2._1._))
	PRIMIT_RULE (TYPX, RATIO_S(NUM(1), POWER_S(SIN_S(X), NUM(2))), RATIO(NUM(-1), TAN(X)), num<-1 >()/tan(_._2._1._))
template<typename X , typename F >
Primitive< F, X >::type	primitive (const F &f)
template<typename F >
Primitive< F >::type	primitive (const F &f)
	PRINT_BINARY_OPERATOR (PowerStruct,"^")
	PRINT_BINARY_OPERATOR (RatioStruct,"/")
	PRINT_BINARY_OPERATOR (SumStruct," + ")
	PRINT_BINARY_OPERATOR (ProductStruct," ")
	PRINT_FUNCTION (TanStruct,"tan")
	PRINT_FUNCTION (AbsStruct,"abs")
	PRINT_FUNCTION (SqrtStruct,"sqrt")
	PRINT_FUNCTION (SinStruct,"sin")
	PRINT_FUNCTION (ExpStruct,"exp")
	PRINT_FUNCTION (LogStruct,"log")
	PRINT_FUNCTION (CosStruct,"cos")
	PRINT_FUNCTION (SgnStruct,"sgn")
	PRINT_UNARY_OPERATOR (MinusStruct,"-")
	PROD_RULE (TYPT1, COS_S(A), A, PROD(A, COS(A)), _2 *_1)
	PROD_RULE (TYPT3, RATIO_S(A, B), C, RATIO(PROD(A, C), B),(_1._1 *_2)/_1._2)
	PROD_RULE (TYPT3, A, RATIO_S(B, C), RATIO(PROD(A, B), C),(_1 *_2._1)/_2._2)
	PROD_RULE (TYPT2, NUM(0), PROD_S(A, B), NUM(0), num< 0 >())
	PROD_RULE (TYPT2, EXP_S(A), EXP_S(B), EXP(SUM(A, B)), exp(_1._+_2._))
	PROD_RULE (TYPN3T1, FRACT_S(n, m), RATIO_S(A, NUM(k)), PROD(FRACT(n, m+k), A),(fract< n, m+k >()*_2._1))
	PROD_RULE (TYPT4, PROD_S(A, B), PROD_S(C, D), PROD(PROD(PROD(A, B), C), D),(_1 _2._1)_2._2)
	PROD_RULE (TYPT2, NUM(0), RATIO_S(A, B), NUM(0), num< 0 >())
	PROD_RULE (TYPT1, EXP_S(A), A, PROD(A, EXP(A)), _2 *_1)
	PROD_RULE (TYPT2, MINUS_S(A), B, MINUS(PROD(A, B)),-(_1._ *_2))
	PROD_RULE (TYPT2, MINUS_S(A), MINUS_S(B), PROD(A, B), _1._ *_2._)
	PROD_RULE (TYPT1, NUM(-1), A, MINUS_S(A),-_2)
	PROD_RULE (TYPT1, LOG_S(A), A, PROD(A, LOG(A)), _2 *_1)
	PROD_RULE (TYPT3, A, PROD_S(B, C), PROD(PROD(A, B), C),(_1 _2._1)_2._2)
	PROD_RULE (TYPN1, NUM(0), NUM(n), NUM(0), num< 0 >())
	PROD_RULE (TYPN2, NUM(1), FRACT_S(n, m), FRACT_S(n, m), _2)
	PROD_RULE (TYPT1, NUM(0), A, NUM(0), num< 0 >())
	PROD_RULE (TYPT2, NUM(1), PROD_S(A, B), PROD_S(A, B), _2)
	PROD_RULE (TYPT2, A, MINUS_S(B), MINUS(PROD(A, B)),-(_1 *_2._))
	PROD_RULE (TYPN1T1, NUM(n), MINUS_S(A), MINUS(PROD(NUM(n), A)),-(_1 *_2._))
	PROD_RULE (TYPT3, PROD_S(A, B), MINUS_S(C), MINUS(PROD(PROD(A, B), C)),-(_1 *_2._))
	PROD_RULE (TYPT1, NUM(1), MINUS_S(A), MINUS(A), _2)
	PROD_RULE (TYPN1T2, NUM(n), RATIO_S(A, B), RATIO(PROD(NUM(n), A), B),(_1 *_2._1)/_2._2)
	PROD_RULE (TYPT2, NUM(1), RATIO_S(A, B), RATIO(A, B), _2)
	PROD_RULE (TYPN1T2, PROD_S(A, B), NUM(n), PROD(PROD(NUM(n), A), B),(_2 _1._1)_1._2)
	PROD_RULE (TYPN1, NUM(-1), NUM(n), NUM(-n), num<-n >())
	PROD_RULE (TYPN1T2, RATIO_S(A, B), NUM(n), RATIO(PROD(NUM(n), A), B),(_2 *_1._1)/_1._2)
	PROD_RULE (TYPT4, RATIO_S(A, B), RATIO_S(C, D), RATIO(PROD(A, C), PROD(B, D)),(_1._1 _2._1)/(_1._2 _2._2))
	PROD_RULE (TYPN1, NUM(n), NUM(n), NUM(n n), num< n n >())
	PROD_RULE (TYPT4, RATIO_S(A, B), PROD_S(C, D), RATIO(PROD(PROD(A, C), D), B),((_1._1 _2._1)_2._2)/_1._2)
	PROD_RULE (TYP0, NUM(1), NUM(1), NUM(1), num< 1 >())
	PROD_RULE (TYPT1, SIN_S(A), A, PROD(A, SIN(A)), _2 *_1)
	PROD_RULE (TYPN1, NUM(1), NUM(n), NUM(n), _2)
	PROD_RULE (TYPT1, NUM(1), A, A, _2)
	PROD_RULE (TYPT1, TAN_S(A), A, PROD(A, TAN(A)), _2 *_1)
	PROD_RULE (TYPN1T1, A, NUM(n), PROD(NUM(n), A), _2 *_1)
	PROD_RULE (TYP0, NUM(0), NUM(1), NUM(0), num< 0 >())
	PROD_S (NUM(n), POWER_S(SIN_S(A), NUM(2)))>
	PROD_S (C, D)>
	PROD_S (B, C)>
	PROD_S (NUM(n), A)>
	PROD_S (NUM(m), POWER_S(COS_S(A), NUM(2)))>
	PROD_S (A, B)>
	RATIO_RULE (TYPT4, RATIO_S(A, B), RATIO_S(C, D), RATIO(PROD(A, D), PROD(B, C)),(_1._1 _2._2)/(_1._2 _2._1))
	RATIO_RULE (TYPT3, A, RATIO_S(B, C), RATIO(PROD(A, C), B),(_1 *_2._2)/_2._1)
	RATIO_RULE (TYPT1, A, NUM(1), A, _1)
	RATIO_RULE (TYPT4, SUM_S(A, B), RATIO_S(C, D), RATIO(PROD(SUM(A, B), D), C),(_1 *_2._2)/_2._1)
	RATIO_RULE (TYPT2, MINUS_S(A), B, MINUS(RATIO(A, B)),-(_1._/_2))
	RATIO_RULE (TYPT4, PROD_S(A, B), RATIO_S(C, D), RATIO(PROD(PROD(A, B), D), C),(_1 *_2._2)/_2._1)
	RATIO_RULE (TYPT3, RATIO_S(A, B), C, RATIO(A, PROD(B, C)), _1._1/(_1._2 *_2))
	RATIO_RULE (TYPN1T2, RATIO_S(A, B), NUM(n), RATIO(A, PROD(NUM(n), B)), _1._1/(_2 *_1._2))
	RATIO_RULE (TYPN1T1, MINUS_S(A), NUM(n), MINUS(RATIO(A, NUM(n))),-(_1._/_2))
	RATIO_RULE (TYPT4, RATIO_S(A, B), PROD_S(C, D), RATIO(A, PROD(PROD(B, C), D)), _1._1/(_1._2 *_2))
	RATIO_RULE (TYPT1, NUM(0), A, NUM(0), num< 0 >())
	RATIO_RULE (TYPN1, NUM(n), NUM(n), NUM(1), num< 1 >())
	RATIO_RULE (TYPT2, PROD_S(A, B), NUM(1), PROD(A, B), _1)
	RATIO_RULE (TYPN2T2, PROD_S(NUM(n), A), PROD_S(NUM(m), B), PROD_S(FRACT(n, m), RATIO(A, B)),(PROD_S(FRACT(n, m), RATIO(A, B))((fract< n, m >()),(_1._2/_2._2))))
template<typename T >
Sgn< T >::type	sgn (const T &t)
template<typename T >
Sin< T >::type	sin (const T &t)
	SIN_RULE (TYPT1, MINUS_S(A), MINUS(SIN(A)),-sin(_._))
	SIN_S (A)>
template<typename F >
Slave< F >	slave (const Master< F > &m)
template<typename F >
Square< F >::type	sqr (const F &f)
template<typename T >
Sqrt< T >::type	sqrt (const T &t)
	SUM_RULE (TYPN1T1, NUM(n), A, SUM(A, NUM(n)), _2+_1)
	SUM_RULE (TYPT2, NUM(0), PROD_S(A, B), PROD_S(A, B), _2)
	SUM_RULE (TYP0, NUM(0), NUM(0), NUM(0), num< 0 >())
	SUM_RULE (TYPT4, SUM_S(A, B), SUM_S(C, D), SUM(SUM(SUM(A, B), C), D),(_1+_2._1)+_2._2)
	SUM_RULE (TYPT3, A, SUM_S(B, C), SUM(SUM(A, B), C),(_1+_2._1)+_2._2)
	SUM_RULE (TYPN1T2, NUM(n), SUM_S(A, B), SUM(SUM_S(A, B), NUM(n)), _2+_1)
	SUM_RULE (TYPT2, PROD_S(A, B), NUM(0), PROD_S(A, B), _1)
	SUM_RULE (TYPT1, A, NUM(0), A, _1)
	SUM_RULE (TYPT2, NUM(0), SUM_S(A, B), SUM_S(A, B), _2)
	SUM_RULE (TYPT2, NUM(0), MINUS_S(PROD_S(A, B)), MINUS_S(PROD_S(A, B)), _2)
	SUM_RULE (TYPT2, SUM_S(A, B), NUM(0), SUM_S(A, B), _1)
	SUM_S (B, A)>
template<typename T >
Tan< T >::type	tan (const T &t)
	TAN_RULE (TYPT1, MINUS_S(A), MINUS(TAN(A)),-tan(_._))
	TAN_S (A)>
	TEMPL (N1T1) struct Divides< POWER_S(A
	TEMPL (XT2) struct PartIntegral<X
	TEMPL (XT1) DERIV(X
	TEMPL (T2) struct Divides
	TEMPL (T1) struct Divides0
	TEMPL (T3) struct Divides< PROD_S(A
	TEMPL (N2T1) struct ParametricDivN<n
	TEMPL (N2) struct Divides< NUM(n)
	TEMPL (N1T2) struct Sum< PROD_S(A
	TEMPL (N1) struct Divides< NUM(n)
	TEMPL (T4) struct Divides< PROD_S(A
template<typename F >
double	trapezoid_integral (const F &f, double min, double max, unsigned int samples)
Variables
void	__pad0__
A	__pad1__
A	__pad2__
C	__pad3__
C	__pad4__
	A
	B
	C
	D
	false
	m
const double	oneOverSqrtTwoPi = 1/sqrt(2*M_PI)
	true
const double	twoOverPi = 2./M_PI

Typedef Documentation

typedef Polynomial<0> funct::Constant

Definition at line 6 of file Constant.h.

Function Documentation

template<typename T >

Abs<T>::type funct::abs ( const T & t ) [inline]

Definition at line 22 of file Abs.h.

References funct::Abs< T >::compose().

Referenced by funct::GaussIntegrator::operator()(), and operator<<().

                                              { 
    return Abs<T>::compose(t); 
  }

template<typename A , typename B >

funct::Composition<A, B>::type funct::compose	(	const A &	a,
		const B &	b
	)		`[inline]`

Definition at line 32 of file Composition.h.

Referenced by conv().

                                                                             {
    return funct::Composition<A, B>::compose(a, b);
  }

template<typename A , typename B , typename Integrator >

funct::Convolution<A, B, Integrator>::type funct::conv	(	const A &	a,
		const B &	b,
		double	min,
		double	max,
		const Integrator &	i
	)		`[inline]`

Definition at line 48 of file Convolution.h.

References compose().

                                                                                                                                   {
    return funct::Convolution<A, B, Integrator>::compose(a, b, min, max, i);
  }

template<typename T >

Cos<T>::type funct::cos ( const T & t ) [inline]

Definition at line 22 of file Cos.h.

References funct::Cos< T >::compose().

{ return Cos<T>::compose(t); }

funct::COS_RULE	(	TYPT1	,
		MINUS_S(A)	,
		COS(A)	,
		cos(_._)
	)

funct::COS_S ( A )

Definition at line 47 of file SimplifyTrigonometric.h.

Referenced by SIN_S().

                                             : 
    public SimplifySCRatio<A> { };

funct::DERIV_RULE	(	TYPXT1	,
		EXP_S(A)	,
		PROD(EXP(A), DERIV(X, A))	,
		_ *derivative< X >	_._
	)

funct::DERIV_RULE	(	TYPXT2	,
		PROD_S(A, B)	,
		SUM(PROD(DERIV(X, A), B), PROD(A, DERIV(X, B)))	,
		derivative< X >	_._1)_._2+_._1 derivative< X >(_._2
	)

funct::DERIV_RULE	(	TYPXT2	,
		RATIO_S(A, B)	,
		RATIO(DIFF(PROD(DERIV(X, A), B), PROD(A, DERIV(X, B))), SQUARE(B))	,
		(derivative< X >(_._1)_._2-_._1 derivative< X >(_._2))/sqr(_._2)
	)

funct::DERIV_RULE	(	TYPXT1	,
		LOG_S(A)	,
		PROD(RATIO(NUM(1), A), DERIV(X, A))	,
		(num< 1 >()/_._)*derivative< X >(_._)
	)

funct::DERIV_RULE	(	TYPXN1T1	,
		POWER_S(A, NUM(n))	,
		PROD(PROD(NUM(n), POWER(A, NUM(n-1))), DERIV(X, A))	,
		_._2 *	pow_._1, num< n-1 >())*derivative< X >(_._1
	)

funct::DERIV_RULE	(	TYPXN2T1	,
		POWER_S(A, FRACT_S(n, m))	,
		PROD(PROD(FRACT(n, m), POWER(A, FRACT(n-m, n))), DERIV(X, A))	,
		_._2 *	pow_._1, fract< n-m, m >())*derivative< X >(_._1
	)

funct::DERIV_RULE	(	TYPXT1	,
		ABS_S(A)	,
		PROD(SGN(A), DERIV(X, A))	,
		sgn(_._)*derivative< X >(_._)
	)

funct::DERIV_RULE	(	TYPXT1	,
		SQRT_S(A)	,
		PROD(PROD(FRACT(1, 2), RATIO(NUM(1), SQRT(A))), DERIV(X, A))	,
		(fract< 1, 2 >()(num< 1 >()/sqrt(_._)))derivative< X >(_._)
	)

funct::DERIV_RULE	(	TYPXT1	,
		SIN_S(A)	,
		PROD(COS(A), DERIV(X, A))	,
		cos(_._)*derivative< X >(_._)
	)

funct::DERIV_RULE	(	TYPXT1	,
		TAN_S(A)	,
		PROD(RATIO(NUM(1), SQUARE(COS(A))), DERIV(X, A))	,
		(num< 1 >()/sqr(cos(_._)))*derivative< X >(_._)
	)

funct::DERIV_RULE	(	TYPXT1	,
		COS_S(A)	,
		MINUS(PROD(SIN(A), DERIV(X, A)))	,
		-	sin(_._)*derivative< X >(_._)
	)

funct::DERIV_RULE	(	TYPX	,
		X	,
		NUM(1)	,
		num< 1 >	()
	)

funct::DERIV_RULE	(	TYPXT2	,
		SUM_S(A, B)	,
		SUM(DERIV(X, A), DERIV(X, B))	,
		derivative< X >	_._1)+derivative< X >(_._2
	)

funct::DERIV_RULE	(	TYPXT1	,
		MINUS_S(A)	,
		MINUS(DERIV(X, A))	,
		-derivative< X >	_._
	)

A funct::derivative ( const A & _ )

Definition at line 18 of file Derivative.h.

References reco::get().

Referenced by MillePedeAlignmentAlgorithm::addLasBeam(), ApvTimingAlgorithm::analyse(), FedTimingAlgorithm::analyse(), and FrameToFrameDerivative::getDerivative().

                                                { 
    return Derivative<X, A>::get(_); 
  }

funct::DIFF_RULE	(	TYPT2	,
		A	,
		MINUS_S(B)	,
		SUM(A, B)	,
		_1+_2.	_
	)

template<typename T >

Exp<T>::type funct::exp ( const T & t ) [inline]

Definition at line 22 of file Exp.h.

References funct::Exp< T >::compose().

{ return Exp<T>::compose(t); }

funct::EXP_RULE	(	TYPT1	,
		LOG_S(A)	,
		A	,
		_.	_
	)

template<int n, int m>

const Fraction<n, m>::type& funct::fract ( )

Definition at line 38 of file Fraction.h.

References trackerHits::c.

Referenced by funct::Difference< Numerical< a >, FractionStruct< b, c > >::combine(), funct::Difference< FractionStruct< a, b >, FractionStruct< c, d > >::combine(), LogErrorEventFilter::endJob(), KDTreeLinkerTrackHcal::insertFieldClusterElt(), KDTreeLinkerTrackEcal::insertFieldClusterElt(), and KDTreeLinkerPSEcal::insertFieldClusterElt().

                                             { 
    static typename Fraction<n, m>::type c; 
    return c; 
  }

template<typename X , typename F >

Integral<F, X>::type funct::integral ( const F & f )

Definition at line 69 of file Integral.h.

Referenced by RecoFCcorFactorAlgo< S >::calcpair(), HcalPulseContainmentAlgo::calcpair(), L1TauAnalyzer::convertToIntegratedEff(), PrimaryVertexAnalyzer4PU::Cumulate(), Roo4lMasses2D_Bkg::evaluate(), Roo4lMasses2D_BkgGGZZ::evaluate(), Rivet::CMS_QCD_10_010::finalize(), GetMPV(), and HLTTauDQMSummaryPlotter::plotIntegratedEffHisto().

                                                   {
    return typename Integral<F, X>::type(f);
  }

template<typename X , typename F , typename Integrator >

Integral<F, X>::type funct::integral	(	const F &	f,
		const Integrator &	integrator
	)

Definition at line 74 of file Integral.h.

                                                                                  {
    return typename Integral<F, X>::type(f, integrator);
  }

template<typename X , typename F >

double funct::integral	(	const F &	f,
		double	min,
		double	max
	)

Definition at line 84 of file Integral.h.

References f.

                                                      {
    return integral<X>(f)(min, max);
  }

template<typename X , typename F , typename Integrator >

double funct::integral	(	const F &	f,
		double	min,
		double	max,
		const Integrator &	integrator
	)

Definition at line 89 of file Integral.h.

References f.

                                                                                     {
    return integral<X>(f, integrator)(min, max);
  }

template<typename F , typename Integrator >

Integral<F>::type funct::integral_f	(	const F &	f,
		const Integrator &	integrator
	)

Definition at line 79 of file Integral.h.

Referenced by integral_f(), funct::DefIntegral< F, MIN, MAX, no_var, no_var >::operator()(), and funct::DefIntegral< F, MIN, MAX, Integrator, no_var >::operator()().

                                                                                 {
    return typename Integral<F>::type(f, integrator);
  }

template<typename F >

Integral<F>::type funct::integral_f ( const F & f )

Definition at line 94 of file Integral.h.

                                                  {
    return typename Integral<F>::type(f);
  }

template<typename F >

double funct::integral_f	(	const F &	f,
		double	min,
		double	max
	)

Definition at line 99 of file Integral.h.

References integral_f(), max(), and min.

                                                        {
    return integral_f(f)(min, max);
  }

template<typename F , typename Integrator >

double funct::integral_f	(	const F &	f,
		double	min,
		double	max,
		const Integrator &	integrator
	)

Definition at line 104 of file Integral.h.

References integral_f(), max(), and min.

                                                                                       {
    return integral_f(f, integrator)(min, max);
  }

template<typename T >

Log<T>::type funct::log ( const T & t ) [inline]

Definition at line 22 of file Log.h.

References funct::Log< T >::compose().

Referenced by ProcessNormalization::addAsymmLogNormal(), ProcessNormalization::addLogNormal(), WeakEffectsWeightProducer::alphaQED(), FSRWeightProducer::alphaRatio(), RooPower::analyticalIntegral(), MCPhotonAnalyzer::analyze(), ValidationMisalignedTracker::analyze(), L1O2OTestAnalyzer::analyze(), ESTimingTask::analyze(), evf::ExceptionGenerator::analyze(), ZMuMuEfficiency::analyze(), EcalRecHitsValidation::analyze(), EcalDigisValidation::analyze(), DQMHOAlCaRecoStream::analyze(), HcalNoiseMonitor::analyze(), EcalSimHitsValidation::analyze(), L1CondDBIOVWriter::analyze(), TrackerHitAnalyzer::analyze(), DQMSourceExample::analyze(), EcalPreshowerSimHitsValidation::analyze(), PrimaryVertexAnalyzer4PU::analyzeVertexCollection(), PrimaryVertexAnalyzer4PU::analyzeVertexCollectionTP(), PhotonFix::asinh(), TopDiLeptonDQM::beginJob(), TopHLTDiMuonDQM::beginJob(), EnergyLossProducer::beginRun(), DAClusterizerInZ::beta0(), GsfBetheHeitlerUpdator::BetheHeitlerVariance(), BremsstrahlungSimulator::brem(), evf::BU::BU(), FWPFEcalRecHitLegoProxyBuilder::build(), CSCSectorReceiverMiniLUT::calcGlobalEtaMEMini(), LRHelpFunctions::calcLRval(), ClusterShapeAlgo::Calculate_Covariances(), ClusterShapeAlgo::Calculate_EnergyDepTopology(), PositionCalc::Calculate_Location(), PFClusterAlgo::calculateClusterPosition(), TBPositionCalc::CalculateCMSPos(), DirectTrackerNavigation::calculateEta(), calculateEta(), MuonTkNavigationSchool::calculateEta(), RoadSearchCircleSeed::calculateEta(), MuonNavigationSchool::calculateEta(), ConversionLikelihoodCalculator::calculateLikelihood(), EcalClusterTools::cluster2ndMoments(), EnergyLossSimulator::compute(), MultipleScatteringUpdator::compute(), NuclearInteractionSimulator::compute(), BremsstrahlungSimulator::compute(), PairProductionSimulator::compute(), GsfMultipleScatteringUpdator::compute(), MultipleScatteringSimulator::compute(), EcalUncalibRecHitRatioMethodAlgo< C >::computeAmplitude(), VolumeEnergyLossEstimator::computeBetheBloch(), EnergyLossUpdator::computeBetheBloch(), TMarkov::computeChain(), DeDxDiscriminatorProducer::ComputeDiscriminator(), EnergyLossUpdator::computeElectrons(), VolumeEnergyLossEstimator::computeElectrons(), HDRShower::computeShower(), EcalUncalibRecHitRatioMethodAlgo< C >::computeTime(), EESelectiveReadoutTask::configFirWeights(), EcalSelectiveReadoutValidation::configFirWeights(), EBSelectiveReadoutTask::configFirWeights(), DDHCalBarrelAlgo::constructMidLayer(), DDHCalBarrelAlgo::constructSideLayer(), EGEnergyCorrector::CorrectedEnergyWithError(), MuonMETAlgo::correctMETforMuon(), VVIObjDetails::cosint(), PFClusterShapeAlgo::covariances(), EcalClusterTools::covariances(), DisplayManager::createGRecHit(), cond::RelationalAuthenticationService::RelationalAuthenticationService::credentials(), gen::TauolaInterface::decay(), Histograms::declareHistograms(), CastorTimeSlew::delay(), HcalTimeSlew::delay(), JetBProbabilityComputer::discriminator(), SimpleSecondaryVertexComputer::discriminator(), PF_PU_AssoMapAlgos::dR(), SiLinearChargeCollectionDrifter::drift(), ChargeDrifterFP420::drift(), MuScleFit::duringFastLoop(), Pi0FixedMassWindowCalibration::duringLoop(), EgammaObjects::ecalEta(), EgammaSuperClusters::ecalEta(), HICaloUtil::EcalEta(), ECALPositionCalculator::ecalEta(), ContainmentCorrectionAnalyzer::ecalEta(), EcalUncalibRecHitRecChi2Algo< C >::EcalUncalibRecHitRecChi2Algo(), Conv::elec(), EMShower::EMShower(), CalorimetryManager::EMShowerSimulation(), CaloTowersCreationAlgo::emShwrLogWeightPos(), TtSemiLepJetCombMVATrainer::endJob(), GsfElectronDataAnalyzer::endJob(), GsfElectronMCAnalyzer::endJob(), GsfElectronMCFakeAnalyzer::endJob(), GsfElectronFakeAnalyzer::endJob(), VolumeMultipleScatteringEstimator::estimate(), cscdqm::Detector::Eta(), reco::GhostTrackPrediction::eta(), RawParticle::eta(), kinem::eta(), Geom::OnePiRange< T >::eta(), fastmath::etaphi(), etaRel(), MCPizeroAnalyzer::etaTransformation(), MCPhotonAnalyzer::etaTransformation(), PhotonsWithConversionsAnalyzer::etaTransformation(), ConversionProducer::etaTransformation(), MCElectronAnalyzer::etaTransformation(), SimpleConvertedPhotonAnalyzer::etaTransformation(), SimplePhotonAnalyzer::etaTransformation(), TkConvValidator::etaTransformation(), PhotonValidator::etaTransformation(), VariablePower::eval(), ESRecHitAnalyticAlgo::EvalAmplitude(), ESRecHitSimAlgo::EvalAmplitude(), cacheutils::CachingAddNLL::evaluate(), ProfiledLikelihoodRatioTestStat::Evaluate(), SimplerLikelihoodRatioTestStat::Evaluate(), cacheutils::CachingSimNLL::evaluate(), PFPhotonAlgo::EvaluateLCorrMVA(), DDHCalFibreBundle::execute(), EnergyLossPlain::expected(), VVIObjDetails::expint(), VVIObjDetails::f1(), VVIObjDetails::f2(), fcnbg(), fcnsg(), SimG4HcalValidation::fill(), HcalTestAnalysis::fill(), HcalTB06Analysis::fillBuffer(), HcalTB04Analysis::fillBuffer(), TrackerHitProducer::fillG4MC(), PrimaryVertexAnalyzer4PU::fillTrackHistos(), EnergyScaleAnalyzer::fillTree(), ZeePlots::fillZMCInfo(), PythiaFilter::filter(), DJpsiFilter::filter(), ElectronMcSignalPostValidator::finalize(), ElectronMcFakePostValidator::finalize(), TFParams::fitpj(), GflashHadronShowerProfile::fLnE1(), GflashHadronShowerProfile::fTanh(), FWExpressionValidator::FWExpressionValidator(), FWLegoCandidate::FWLegoCandidate(), GammaFunctionGenerator::gammaFrac(), GammaFunctionGenerator::gammaInt(), GammaLn(), Gauss3DFunc(), PairProductionSimulator::gbteth(), MuonBremsstrahlungSimulator::gbteth(), BremsstrahlungSimulator::gbteth(), GaussianTailNoiseGenerator::generate_gaussian_tail(), EcalTestDevDB::generateEcalLaserAPDPNRatios(), CSCGasCollisions::generateEnergyLoss(), BaseNumericalRandomGenerator::generateExp(), ECalSD::getBirkL3(), SteppingHelixPropagator::getDeDx(), reco::PFCluster::getDepthCorrection(), DetIdAssociator::getDetIdsCloseToAPoint(), CastorSD::getEnergyDeposit(), ZdcSD::getEnergyDeposit(), EcalClusterTools::getEnergyDepTopology(), HcalNumberingFromDDD::getEta(), TopologyWorker::getetaphi(), IsolatedPixelTrackCandidateProducer::GetEtaPhiAtEcal(), PythiaFilterIsolatedTrack::GetEtaPhiAtEcal(), HCALResponse::getHCALEnergyResponse(), CastorShowerLibraryMaker::GetKinematics(), HcalTB06BeamSD::getNames(), MaterialBudgetHcalHistos::getNames(), HCalSD::getNames(), GflashHadronShowerProfile::getNumberOfSpots(), CastorShowerLibrary::getShowerHits(), HcalTB02HcalNumberingScheme::getUnitID(), EcalClusterCrackCorrection::getValue(), EcalClusterLocalContCorrection::getValue(), EcalBasicClusterLocalContCorrection::getValue(), JetCharge::getWeight(), HFGflash::gfParameterization(), GflashHadronShowerProfile::hadronicParameterization(), HCalSD::HCalSD(), HcalTB06BeamSD::HcalTB06BeamSD(), HDShower::HDShower(), HcalHF_S9S1algorithm::HFSetFlagFromS9S1(), HFShower::HFShower(), gen::Pythia6Hadronizer::imposeProperTime(), gen::Cascade2Hadronizer::imposeProperTime(), cond::XMLAuthenticationService::XMLAuthenticationService::initialize(), ParticlePropagator::initProperDecayTime(), JetBProbabilityComputer::jetProbability(), reco::TrackProbabilityTagInfo::jetProbability(), JetProbabilityComputer::jetProbability(), EMECALShowerParametrization::k4(), LandauFP420::LandauFP420(), RooFit::Lgg_7(), CSCTFPtMethods::Likelihood(), likelihood(), CSCTFPtMethods::Likelihood2(), CSCTFPtMethods::Likelihood2011(), CSCTFPtMethods::Likelihood2_2011(), IncompleteGammaComplement::ln(), GaussianSumUtilities1D::lnPdf(), CaloTPGTranscoderULUT::loadHCALCompress(), GflashAntiProtonShowerProfile::loadParameters(), GflashProtonShowerProfile::loadParameters(), GflashKaonPlusShowerProfile::loadParameters(), GflashPiKShowerProfile::loadParameters(), GflashKaonMinusShowerProfile::loadParameters(), EcalClusterLocal::localCoordsEB(), EcalClusterLocal::localCoordsEE(), EcalClusterTools::localCovariances(), FastTemplate::Log(), CSCCrossGap::logGamma(), AsymPow::logKappaForX(), SteppingHelixPropagator::makeAtomStep(), HFClusterAlgo::makeCluster(), EMECALShowerParametrization::meanLnAlphaHom(), EMECALShowerParametrization::meanLnAlphaSam(), EMECALShowerParametrization::meanLnTHom(), EMECALShowerParametrization::meanLnTSam(), GflashHadronShowerProfile::medianLateralArm(), MuonResidualsFitter_compute_log_convolution(), MuonResidualsFitter_logGaussPowerTails(), MuonResidualsFitter_logPowerLawTails(), MuonResidualsFitter_logPureGaussian(), MuonResidualsFitter_logPureGaussian2D(), MuonResidualsFitter_logROOTVoigt(), L1CaloHcalScaleConfigOnlineProd::newObject(), EMECALShowerParametrization::nSpotsHom(), oldMUcompute(), TtSemiLRSignalSelObservables::operator()(), BSpdfsFcn::operator()(), TtDecayChannelSelector::operator()(), funct::LogStruct< T >::operator()(), TtHadLRSignalSelObservables::operator()(), FcnBeamSpotFitPV::operator()(), fftjetcms::EtaAndPtLookupPeakSelector::operator()(), fit::HistoPoissonLikelihoodRatio< T >::operator()(), fftjetcms::EtaAndPtDependentPeakSelector::operator()(), reco::parser::log_f::operator()(), Fit::operator()(), SimG4HcalHitCluster::operator+=(), EnergyLossPlain::optimal(), EMECALShowerParametrization::p3(), SiPixelRecHitQuality::Packing::Packing(), GflashEMShowerProfile::parameterization(), Generator::particlePassesPrimaryCuts(), reco::PFCandidateElectronExtra::PFCandidateElectronExtra(), PFPhotonClusters::PFCrystalCoor(), PFSCEnergyCalibration::PFSCEnergyCalibration(), SiPixelTemplateSplit::PixelTempSplit(), TtFullHadronicEvent::print(), TtSemiLeptonicEvent::print(), TKinFitter::print(), TtFullLeptonicEvent::print(), TopGenEvent::print(), JetPartonMatching::print(), EcalSelectiveReadoutValidation::printAvailableHists(), TKinFitter::printMatrix(), PixelCPEBase::probabilityXY(), HcalBeamMonitor::processEvent(), cond::XMLAuthenticationService::XMLAuthenticationService::processFile(), CastorFastTowerProducer::produce(), edm::FlatRandomOneOverPtGunProducer::produce(), MuonSimHitProducer::produce(), CastorFastClusterProducer::produce(), EnergyLossProducer::produce(), RPCpg::rate(), evf::BUFUInterface::registerBU(), evf::BUFUInterface::registerFU(), SoftLepton::relativeEta(), cond::SQLMonitoringService::report(), cond::SQLMonitoringService::reportToOutputStream(), ElectronLikelihood::resultLog(), EcalClusterTools::roundnessSelectedBarrelRecHits(), RoadSearchSeedFinderAlgorithm::run(), HybridNew::runLimit(), Asymptotic::runLimit(), ecaldqm::ClusterTask::runOnBasicClusters(), TPtoRecoTrack::s_eta(), RecoTracktoTP::s_eta(), SiG4UniversalFluctuation::SampleFluctuations(), LandauFP420::SampleFluctuations(), BSFitter::scanPDF(), EcalClusterTools::scLocalCovariances(), evf::BUProxy::sendAllocate(), evf::BUProxy::sendDiscard(), HDRShower::setFuncParam(), PFElectronAlgo::SetIDOutputs(), SiPixelRecHitQuality::Packing::setProbabilityQ(), SiPixelRecHitQuality::Packing::setProbabilityXY(), HBHEPulseShapeFlagSetter::SetPulseShapeFlags(), cacheutils::CachingSimNLL::setZeroPoint(), GaussianTail::shoot(), SiG4UniversalFluctuation::SiG4UniversalFluctuation(), WeakEffectsWeightProducer::sigma0_qqbarll(), cscdqm::Utility::SignificanceLevelHigh(), cscdqm::Utility::SignificanceLevelLow(), RPCSimParam::simulate(), GflashShowino::simulateFirstInteractionPoint(), VVIObjDetails::sincosint(), pat::ObjectSpatialResolution< T >::smearAngles(), smearFunctionBase::smearEta(), HepMCValidationHelper::sortByRapidity(), MSLayersAtAngle::sum2RmRn(), PrimaryVertexAnalyzer4PU::supf(), VerticalInterpHistPdf::syncComponent(), TBposition(), hitfit::theta_to_eta(), MuonNavigableLayer::trackingRange(), muon::trackProbability(), TtFullHadSignalSel::TtFullHadSignalSel(), HcalNumberingFromDDD::unitID(), ZdcTestAnalysis::update(), PrintGeomInfoAction::update(), CastorTestAnalysis::update(), HcalTB02Analysis::update(), FP420Test::update(), DoCastorAnalysis::update(), EcalSimHitsValidProducer::update(), TrackingVerboseAction::update(), HcalTestAnalysis::update(), BscTest::update(), FWPFLegoRecHit::updateScale(), IncompleteGammaComplement::value(), cond::XMLAuthenticationService::XMLAuthenticationService::verifyFileName(), VVIObj::VVIObj(), kinem::y(), and EMECALShowerParametrization::z1().

{ return Log<T>::compose(t); }

funct::LOG_RULE	(	TYPT1	,
		EXP_S(A)	,
		A	,
		_.	_
	)

funct::LOG_RULE	(	TYPT2	,
		POWER_S(A, B)	,
		PROD(B, LOG(A))	,
		_._2 *	log_._1
	)

funct::LOG_RULE	(	TYPT2	,
		PROD_S(A, B)	,
		SUM(LOG(A), LOG(B))	,
		log(_._1)+log(_._2)
	)

funct::LOG_RULE	(	TYPT2	,
		RATIO_S(A, B)	,
		DIFF(LOG(A), LOG(B))	,
		log(_._1)-log(_._2)
	)

template<typename F >

Master<F> funct::master ( const F & f )

Definition at line 68 of file FunctClone.h.

References f.

Referenced by L1TGT::analyze(), DQMStore::extract(), reco::utilsNew::CandMatcher< C >::operator[](), reco::PhysObjectMatcher< C1, C2, S, D, Q >::produce(), reco::modulesNew::IsolationProducer< C1, C2, Alg, OutputCollection, Setup >::produce(), reco::modulesNew::Matcher< C1, C2, S, D >::produce(), CandidateProducer< TColl, CColl, Selector, Conv, Creator, Init >::produce(), and DQMStore::save().

{ return Master<F>(f); }

funct::MINUS_RULE	(	TYPT1	,
		MINUS_S(A)	,
		A	,
		_.	_
	)

funct::MINUS_RULE	(	TYPT2	,
		SUM_S(A, B)	,
		SUM(MINUS(A), MINUS(B))	,
		(-_._1)+(-_._2)
	)

funct::MINUS_S ( B )

Definition at line 99 of file Factorize.h.

Referenced by PROD_S().

                                          : 
    public Divides<A, B> { };

funct::MINUS_S ( C )

Definition at line 102 of file Factorize.h.

                                                     : 
    public Divides<PROD_S(A, B), C> { };

funct::MINUS_S ( PROD_S(B, C) )

Definition at line 201 of file Factorize.h.

                                                 : 
    public FactorizeSum<A, MINUS_S(PROD_S(B, C))> { };

funct::MINUS_S ( PROD_S(C, D) )

Definition at line 208 of file Factorize.h.

                           : 
    public FactorizeSum<MINUS_S(PROD_S(A, B)), 
    MINUS_S(PROD_S(C, D))> { };

funct::MINUS_S ( A )

Definition at line 155 of file SimplifyProduct.h.

                                                           : 
    public SimplifyPowerProduct< MINUS_S( A ), NUM( 1 ), NUM( 1 ) > { };

funct::NON_PARAMETRIC_BINARY ( SumStruct )

funct::NON_PARAMETRIC_BINARY ( ProductStruct )

funct::NON_PARAMETRIC_BINARY ( PowerStruct )

funct::NON_PARAMETRIC_BINARY ( RatioStruct )

funct::NON_PARAMETRIC_UNARY ( AbsStruct )

funct::NON_PARAMETRIC_UNARY ( SgnStruct )

funct::NON_PARAMETRIC_UNARY ( ExpStruct )

funct::NON_PARAMETRIC_UNARY ( LogStruct )

funct::NON_PARAMETRIC_UNARY ( SinStruct )

funct::NON_PARAMETRIC_UNARY ( CosStruct )

funct::NON_PARAMETRIC_UNARY ( MinusStruct )

funct::NON_PARAMETRIC_UNARY ( TanStruct )

template<unsigned n, typename X , typename F >

NthDerivative<n, X, F>::type funct::nth_derivative ( const F & f )

Definition at line 26 of file NthDerivative.h.

References funct::NthDerivative< n, X, F >::get().

{ return NthDerivative< n, X, F >::get(f); }

funct::NUM ( m )

Definition at line 84 of file Factorize.h.

References cmsCodeRulesChecker::arg, GET, NUM(), and relativeConstraints::value.

                                           { 
    enum { gcd = boost::math::static_gcd<tmpl::abs<n>::value, tmpl::abs<m>::value>::value };
    static const bool value = (gcd != 1);
    typedef NUM(n) arg;
    typedef NUM(gcd) type;
    GET(arg, num<gcd>());
  };

A funct::NUM ( 1 )

Definition at line 144 of file SimplifyProduct.h.

{ };

template<int n>

const Numerical<n>& funct::num ( )

Definition at line 16 of file Numerical.h.

References trackerHits::c.

  { static Numerical<n> c; return c; }

funct::NUM ( n )

Definition at line 92 of file Factorize.h.

References cmsCodeRulesChecker::arg, GET, and relativeConstraints::value.

Referenced by NUM(), PROD_S(), and TEMPL().

                                           { 
    static const bool value = true;
    typedef NUM(n) arg;
    typedef arg type;
    GET(arg, _);
  };

funct::NUM ( 2 )

template<typename A , typename B >

Product<A, B>::type funct::operator*	(	const A &	a,
		const B &	b
	)		`[inline]`

Definition at line 34 of file Product.h.

References funct::Product< A, B >::combine().

                                                                      {
    return Product<A, B>::combine(a, b);
  }

template<typename A , typename B >

Sum<A, B>::type funct::operator+	(	const A &	a,
		const B &	b
	)		`[inline]`

Definition at line 33 of file Sum.h.

References funct::Sum< A, B >::combine().

                                                                  {
    return Sum<A, B>::combine(a, b);
  }

template<typename A , typename B >

Difference<A, B>::type funct::operator-	(	const A &	a,
		const B &	b
	)		`[inline]`

Definition at line 15 of file Difference.h.

References funct::Difference< A, B >::combine().

                                                                         {
    return Difference<A, B>::combine(a, b);
  }

template<typename A >

Minus<A>::type funct::operator- ( const A & a ) [inline]

Definition at line 34 of file Minus.h.

References funct::Minus< A >::operate().

                                                     {
    return Minus<A>::operate(a);
  }

template<typename A , typename B >

Ratio<A, B>::type funct::operator/	(	const A &	a,
		const B &	b
	)		`[inline]`

Definition at line 34 of file Ratio.h.

References funct::Ratio< A, B >::combine().

                                                                    {
    return Ratio<A, B>::combine(a, b);
  }

template<typename A , typename B >

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::SumStruct< funct::MinusStruct< A >, funct::MinusStruct< B > > &	f
	)

Definition at line 77 of file FunctionsIO.h.

References f.

                                                                                              { 
  return cout << "- " << f._1._ << " - " << f._2._; 
}

template<typename A , typename B >

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::SumStruct< A, funct::MinusStruct< B > > &	f
	)

Definition at line 71 of file FunctionsIO.h.

References f.

                                                                            { 
  return cout << f._1 << " - " << f._2._; 
}

template<typename A , typename B >

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::SumStruct< funct::MinusStruct< A >, B > &	f
	)

Definition at line 83 of file FunctionsIO.h.

References f.

                                                                           { 
  return cout << "- " << f._1._ << " + " << f._2; 
}

template<typename A , int n>

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::SumStruct< A, funct::Numerical< n > > &	f
	)

Definition at line 89 of file FunctionsIO.h.

References abs(), f, and n.

                                                                          { 
  return cout << f._1 << (n >= 0 ? " + " : " - ") << ::abs(n); 
}

template<typename A , int n>

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::SumStruct< funct::MinusStruct< A >, funct::Numerical< n > > &	f
	)

Definition at line 95 of file FunctionsIO.h.

References abs(), f, and n.

                                                                                             { 
  return cout << "- " << f._1._ << (n >= 0 ? " + " : " - ") << ::abs(n); 
}

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::Parameter &	p
	)		`[inline]`

Definition at line 27 of file Parameter.h.

References funct::Parameter::name(), and funct::Parameter::value().

                                                                            {
    return cout << p.name() <<" = " << p.value();
  }

template<typename X1 , typename X2 , typename X3 >

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const Function< X1, X2, X3 > &	f
	)

Definition at line 49 of file Function.h.

References gather_cfg::cout, and f.

                                                                          { 
    return f.print(cout); 
  }

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const Expression &	e
	)		`[inline]`

Definition at line 39 of file Expression.h.

References gather_cfg::cout, and funct::Expression::print().

                                                                      { 
   e.print(cout); return cout; 
 }

template<int n>

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const Numerical< n > &
	)

Definition at line 13 of file FunctionsIO.h.

References gather_cfg::cout, and n.

                                                              {
  return cout << n;
}

template<int n, int m>

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::FractionStruct< n, m > &
	)

Definition at line 18 of file FunctionsIO.h.

References gather_cfg::cout, m, and n.

                                                                            { 
  return cout << n << "/" << m; 
}

template<int n, int m>

std::ostream& funct::operator<<	(	std::ostream &	cout,
		const funct::MinusStruct< funct::FractionStruct< n, m > > &
	)

Definition at line 23 of file FunctionsIO.h.

References m, and n.

                                                                              {
  return cout << "-" << n << "/" << m; 
}

template<typename A , typename B >

Power<A, B>::type funct::operator^	(	const A &	a,
		const B &	b
	)		`[inline]`

Definition at line 35 of file Power.h.

References funct::Power< A, B >::combine().

                                                                    {
    return Power<A, B>::combine(a, b);
  }

funct::PARENTHESES	(	ProductStruct	,
		SumStruct	,
		" "
	)

funct::PARENTHESES	(	ProductStruct	,
		RatioStruct	,
		" "
	)

funct::PARENTHESES	(	RatioStruct	,
		SumStruct	,
		"/"
	)

funct::PARENTHESES	(	RatioStruct	,
		ProductStruct	,
		"/"
	)

funct::PARENTHESES	(	RatioStruct	,
		RatioStruct	,
		"/"
	)

funct::PARENTHESES	(	PowerStruct	,
		SumStruct	,
		"^"
	)

funct::PARENTHESES	(	PowerStruct	,
		ProductStruct	,
		"^"
	)

funct::PARENTHESES	(	PowerStruct	,
		RatioStruct	,
		"^"
	)

funct::PARENTHESES_1	(	MinusStruct	,
		SumStruct	,
		"-"
	)

funct::PARENTHESES_FRACT	(	RatioStruct	,
		"/"
	)

funct::PARENTHESES_FRACT	(	PowerStruct	,
		"^"
	)

template<typename A , typename B >

Power<A, B>::type funct::pow	(	const A &	a,
		const B &	b
	)		`[inline]`

Definition at line 40 of file Power.h.

References funct::Power< A, B >::combine().

                                                              {
    return Power<A, B>::combine(a, b);
  }

funct::POWER_RULE	(	TYPT1	,
		A	,
		NUM(1)	,
		A	,
		_1
	)

funct::POWER_RULE	(	TYPT1	,
		A	,
		NUM(-1)	,
		RATIO(NUM(1), A)	,
		num< 1 >()/	_1
	)

funct::POWER_RULE	(	TYPT1	,
		A	,
		FRACT_S(1, 2)	,
		SQRT(A)	,
		sqrt(_1)
	)

funct::POWER_RULE	(	TYPT1	,
		A	,
		NUM(0)	,
		NUM(1)	,
		num< 1 >	()
	)

funct::POWER_RULE	(	TYPT3	,
		POWER_S(A, B)	,
		C	,
		POWER(A, SUM(B, C))	,
		pow(_1._1, _1._2+_2)
	)

funct::POWER_RULE	(	TYPN1T2	,
		POWER_S(A, B)	,
		NUM(n)	,
		POWER(A, SUM(B, NUM(n)))	,
		pow(_1._1, _1._2+_2)
	)

funct::POWER_RULE	(	TYPT2	,
		PROD_S(A, B)	,
		NUM(0)	,
		NUM(1)	,
		num< 1 >	()
	)

funct::POWER_S	(	A	,
		C
	)

Definition at line 131 of file SimplifyProduct.h.

                                                                :
    public SimplifyPowerProduct< A, B, C > { };

funct::POWER_S	(	A	,
		B
	)

Definition at line 134 of file SimplifyProduct.h.

                                                                :
    public SimplifyPowerProduct< A, B, B > { };

funct::POWER_S	(	TAN_S(A)	,
		B
	)

Definition at line 101 of file SimplifyTrigonometric.h.

                          :
    public SimplifySTnProduct<A, B> { };

funct::POWER_S	(	TAN_S(A)	,
		NUM(n)
	)

Definition at line 105 of file SimplifyTrigonometric.h.

                               :
    public SimplifySTnProduct<A, NUM(n)> { };

funct::POWER_S	(	COS_S(A)	,
		NUM(2)
	)

Definition at line 129 of file SimplifyTrigonometric.h.

                               :
    public SimpifyS2C2Sum<1, 1, A> { };

funct::POWER_S	(	SIN_S(A)	,
		NUM(2)
	)

Definition at line 133 of file SimplifyTrigonometric.h.

References COS2, SIN2, and SUM.

                               {
    typedef SUM(SIN2(A), COS2(A)) type;
      inline static type combine(const COS2(A) & _1, const SIN2(A) & _2)
      { return Sum<SIN2(A), COS2(A)>::combine(_2, _1); }
  };

funct::POWER_S	(	A	,
		NUM(n)
	)

Definition at line 48 of file Factorize.h.

                        : 
    public ParametricDiv1<POWER_S(A, NUM(n))> { };

funct::POWER_S	(	A	,
		NUM(m)
	)

Definition at line 65 of file Factorize.h.

                        : 
    public ParametricDivN<n, m, A> { };

funct::PRIMIT_RULE	(	TYPXT1	,
		MINUS_S(A)	,
		MINUS(PRIMIT(X, A))	,
		-primitive< X >	_._
	)

funct::PRIMIT_RULE	(	TYPXN1	,
		RATIO_S(NUM(1), POWER_S(X, NUM(n)))	,
		RATIO(NUM(-1), PROD(NUM(n-1), POWER(X, NUM(n-1))))	,
		num<-1 >	)/(num< n-1 >()*pow(_._2._1, num< n-1 >())
	)

funct::PRIMIT_RULE	(	TYPXN1	,
		POWER_S(X, NUM(n))	,
		RATIO(POWER(X, NUM(n+1)), NUM(n+1))	,
		pow(_._1, num< n+1 >())/num< n+1 >()
	)

funct::PRIMIT_RULE	(	TYPX	,
		RATIO_S(NUM(1), X)	,
		LOG(ABS(X))	,
		log(abs(_._2))
	)

funct::PRIMIT_RULE	(	TYPXT2	,
		SUM_S(A, B)	,
		SUM(PRIMIT(X, A), PRIMIT(X, B))	,
		primitive< X >	_._1)+primitive< X >(_._2
	)

funct::PRIMIT_RULE	(	TYPXT2	,
		POWER_S(A, B)	,
		UndefinedIntegral	,
		type()
	)

funct::PRIMIT_RULE	(	TYPX	,
		X	,
		RATIO(POWER(X, NUM(2)), NUM(2))	,
		pow(_, num< 2 >())/num< 2 >()
	)

funct::PRIMIT_RULE	(	TYPX	,
		SGN_S(X)	,
		ABS(X)	,
		abs(_._)
	)

funct::PRIMIT_RULE	(	TYPXN1	,
		POWER_S(RATIO_S(NUM(1), X), NUM(n))	,
		RATIO(NUM(-1), PROD(NUM(n-1), POWER(X, NUM(n-1))))	,
		num<-1 >	)/(num< n-1 >()*pow(_._1._2, num< n-1 >())
	)

funct::PRIMIT_RULE	(	TYPXN2	,
		POWER_S(X, FRACT_S(n, m))	,
		PROD(FRACT(m, n+m), POWER(X, FRACT(n+m, m)))	,
		(fract< m, n+m >()*pow(_._1, fract< n+m, m >()))
	)

funct::PRIMIT_RULE	(	TYPX	,
		SQRT_S(X)	,
		PRIMIT(X, POWER_S(X, FRACT_S(1, 2)))	,
		(fract< 2, 3 >()*pow(_._, fract< 3, 2 >()))
	)

funct::PRIMIT_RULE	(	TYPX	,
		EXP_S(X)	,
		EXP(X)	,
		_
	)

funct::PRIMIT_RULE	(	TYPX	,
		LOG_S(X)	,
		PROD(X, DIFF(LOG(X), NUM(1)))	,
		_._ *	_-num< 1 >()
	)

funct::PRIMIT_RULE	(	TYPX	,
		SIN_S(X)	,
		MINUS(COS(X))	,
		-	cos_._
	)

funct::PRIMIT_RULE	(	TYPX	,
		COS_S(X)	,
		SIN(X)	,
		sin(_._)
	)

funct::PRIMIT_RULE	(	TYPX	,
		TAN_S(X)	,
		MINUS(LOG(ABS(COS(X))))	,
		-	logabs(cos(_._))
	)

funct::PRIMIT_RULE	(	TYPX	,
		POWER_S(X, NUM(-1))	,
		LOG(ABS(X))	,
		log(abs(_._1))
	)

funct::PRIMIT_RULE	(	TYPX	,
		RATIO_S(NUM(1), POWER_S(COS_S(X), NUM(2)))	,
		TAN(X)	,
		tan(_._2._1._)
	)

funct::PRIMIT_RULE	(	TYPX	,
		RATIO_S(NUM(1), POWER_S(SIN_S(X), NUM(2)))	,
		RATIO(NUM(-1), TAN(X))	,
		num<-1 >	)/tan(_._2._1._
	)

template<typename X , typename F >

Primitive<F, X>::type funct::primitive ( const F & f )

Definition at line 41 of file Primitive.h.

References funct::ConstPrimitive< X, F >::get().

                                                     { 
    return Primitive<F, X>::get(f); 
  }

template<typename F >

Primitive<F>::type funct::primitive ( const F & f )

Definition at line 46 of file Primitive.h.

References funct::ConstPrimitive< X, F >::get().

                                                  { 
    return Primitive<F>::get(f); 
  }

funct::PRINT_BINARY_OPERATOR	(	PowerStruct	,
		"^"
	)

funct::PRINT_BINARY_OPERATOR	(	RatioStruct	,
		"/"
	)

funct::PRINT_BINARY_OPERATOR	(	SumStruct	,
		" + "
	)

funct::PRINT_BINARY_OPERATOR	(	ProductStruct	,
		" "
	)

funct::PRINT_FUNCTION	(	TanStruct	,
		"tan"
	)

funct::PRINT_FUNCTION	(	AbsStruct	,
		"abs"
	)

funct::PRINT_FUNCTION	(	SqrtStruct	,
		"sqrt"
	)

funct::PRINT_FUNCTION	(	SinStruct	,
		"sin"
	)

funct::PRINT_FUNCTION	(	ExpStruct	,
		"exp"
	)

funct::PRINT_FUNCTION	(	LogStruct	,
		"log"
	)

funct::PRINT_FUNCTION	(	CosStruct	,
		"cos"
	)

funct::PRINT_FUNCTION	(	SgnStruct	,
		"sgn"
	)

funct::PRINT_UNARY_OPERATOR	(	MinusStruct	,
		"-"
	)

funct::PROD_RULE	(	TYPT1	,
		COS_S(A)	,
		A	,
		PROD(A, COS(A))	,
		_2 *	_1
	)

funct::PROD_RULE	(	TYPT3	,
		RATIO_S(A, B)	,
		C	,
		RATIO(PROD(A, C), B)	,
		(_1._1 *_2)/_1.	_2
	)

funct::PROD_RULE	(	TYPT3	,
		A	,
		RATIO_S(B, C)	,
		RATIO(PROD(A, B), C)	,
		(_1 *_2._1)/_2.	_2
	)

funct::PROD_RULE	(	TYPT2	,
		NUM(0)	,
		PROD_S(A, B)	,
		NUM(0)	,
		num< 0 >	()
	)

funct::PROD_RULE	(	TYPT2	,
		EXP_S(A)	,
		EXP_S(B)	,
		EXP(SUM(A, B))	,
		exp(_1._+_2._)
	)

funct::PROD_RULE	(	TYPN3T1	,
		FRACT_S(n, m)	,
		RATIO_S(A, NUM(k))	,
		PROD(FRACT(n, m+k), A)	,
		(fract< n, m+k >()*_2._1)
	)

funct::PROD_RULE	(	TYPT4	,
		PROD_S(A, B)	,
		PROD_S(C, D)	,
		PROD(PROD(PROD(A, B), C), D)	,
		(_1 _2._1)_2.	_2
	)

funct::PROD_RULE	(	TYPT2	,
		NUM(0)	,
		RATIO_S(A, B)	,
		NUM(0)	,
		num< 0 >	()
	)

funct::PROD_RULE	(	TYPT1	,
		EXP_S(A)	,
		A	,
		PROD(A, EXP(A))	,
		_2 *	_1
	)

funct::PROD_RULE	(	TYPT2	,
		MINUS_S(A)	,
		B	,
		MINUS(PROD(A, B))	,
		-	_1._ *_2
	)

funct::PROD_RULE	(	TYPT2	,
		MINUS_S(A)	,
		MINUS_S(B)	,
		PROD(A, B)	,
		_1._ *_2.	_
	)

funct::PROD_RULE	(	TYPT1	,
		NUM(-1)	,
		A	,
		MINUS_S(A)	,
		-	_2
	)

funct::PROD_RULE	(	TYPT1	,
		LOG_S(A)	,
		A	,
		PROD(A, LOG(A))	,
		_2 *	_1
	)

funct::PROD_RULE	(	TYPT3	,
		A	,
		PROD_S(B, C)	,
		PROD(PROD(A, B), C)	,
		(_1 _2._1)_2.	_2
	)

funct::PROD_RULE	(	TYPN1	,
		NUM(0)	,
		NUM(n)	,
		NUM(0)	,
		num< 0 >	()
	)

funct::PROD_RULE	(	TYPN2	,
		NUM(1)	,
		FRACT_S(n, m)	,
		FRACT_S(n, m)	,
		_2
	)

funct::PROD_RULE	(	TYPT1	,
		NUM(0)	,
		A	,
		NUM(0)	,
		num< 0 >	()
	)

funct::PROD_RULE	(	TYPT2	,
		NUM(1)	,
		PROD_S(A, B)	,
		PROD_S(A, B)	,
		_2
	)

funct::PROD_RULE	(	TYPT2	,
		A	,
		MINUS_S(B)	,
		MINUS(PROD(A, B))	,
		-	_1 *_2._
	)

funct::PROD_RULE	(	TYPN1T1	,
		NUM(n)	,
		MINUS_S(A)	,
		MINUS(PROD(NUM(n), A))	,
		-	_1 *_2._
	)

funct::PROD_RULE	(	TYPT3	,
		PROD_S(A, B)	,
		MINUS_S(C)	,
		MINUS(PROD(PROD(A, B), C))	,
		-	_1 *_2._
	)

funct::PROD_RULE	(	TYPT1	,
		NUM(1)	,
		MINUS_S(A)	,
		MINUS(A)	,
		_2
	)

funct::PROD_RULE	(	TYPN1T2	,
		NUM(n)	,
		RATIO_S(A, B)	,
		RATIO(PROD(NUM(n), A), B)	,
		(_1 *_2._1)/_2.	_2
	)

funct::PROD_RULE	(	TYPT2	,
		NUM(1)	,
		RATIO_S(A, B)	,
		RATIO(A, B)	,
		_2
	)

funct::PROD_RULE	(	TYPN1T2	,
		PROD_S(A, B)	,
		NUM(n)	,
		PROD(PROD(NUM(n), A), B)	,
		(_2 _1._1)_1.	_2
	)

funct::PROD_RULE	(	TYPN1	,
		NUM(-1)	,
		NUM(n)	,
		NUM(-n)	,
		num<-n >	()
	)

funct::PROD_RULE	(	TYPN1T2	,
		RATIO_S(A, B)	,
		NUM(n)	,
		RATIO(PROD(NUM(n), A), B)	,
		(_2 *_1._1)/_1.	_2
	)

funct::PROD_RULE	(	TYPT4	,
		RATIO_S(A, B)	,
		RATIO_S(C, D)	,
		RATIO(PROD(A, C), PROD(B, D))	,
		(_1._1 _2._1)/(_1._2 _2._2)
	)

funct::PROD_RULE	(	TYPN1	,
		NUM(n)	,
		NUM(n)	,
		NUM(n *n)	,
		num< n *n >	()
	)

funct::PROD_RULE	(	TYPT4	,
		RATIO_S(A, B)	,
		PROD_S(C, D)	,
		RATIO(PROD(PROD(A, C), D), B)	,
		((_1._1 _2._1)_2._2)/_1.	_2
	)

funct::PROD_RULE	(	TYP0	,
		NUM(1)	,
		NUM(1)	,
		NUM(1)	,
		num< 1 >	()
	)

funct::PROD_RULE	(	TYPT1	,
		SIN_S(A)	,
		A	,
		PROD(A, SIN(A))	,
		_2 *	_1
	)

funct::PROD_RULE	(	TYPN1	,
		NUM(1)	,
		NUM(n)	,
		NUM(n)	,
		_2
	)

funct::PROD_RULE	(	TYPT1	,
		NUM(1)	,
		A	,
		A	,
		_2
	)

funct::PROD_RULE	(	TYPT1	,
		TAN_S(A)	,
		A	,
		PROD(A, TAN(A))	,
		_2 *	_1
	)

funct::PROD_RULE	(	TYPN1T1	,
		A	,
		NUM(n)	,
		PROD(NUM(n), A)	,
		_2 *	_1
	)

funct::PROD_RULE	(	TYP0	,
		NUM(0)	,
		NUM(1)	,
		NUM(0)	,
		num< 0 >	()
	)

funct::PROD_S	(	NUM(n)	,
		POWER_S(SIN_S(A), NUM(2))
	)

Definition at line 144 of file SimplifyTrigonometric.h.

References COS2, NUM(), PROD, SIN2, and SUM.

                                               {
    typedef SUM(PROD(NUM(n), SIN2(A)), PROD(NUM(m), COS2(A))) type;
      inline static type combine(const PROD(NUM(m), COS2(A))& _1, 
                                  const PROD(NUM(n), SIN2(A))& _2)
        { return Sum<PROD(NUM(n), SIN2(A)), PROD(NUM(m), COS2(A))>::combine(_2, _1); }
  };

funct::PROD_S	(	C	,
		D
	)

Definition at line 154 of file Factorize.h.

References cmsCodeRulesChecker::arg, GET, reco::get(), PROD_S(), and relativeConstraints::value.

                                                       {
    typedef PROD_S(A, B) arg;
    typedef Divides<arg, void> D0;
    typedef Divides<arg, C> D1;
    typedef Divides<arg, D> D2;
    typedef typename ::boost::mpl::if_<D1, D1,
      typename ::boost::mpl::if_ <D2, D2, D0>::type>::type Div;
    static const bool value = Div::value;
    typedef typename Div::type type;
    GET(arg, Div::get(_));
  };

funct::PROD_S	(	B	,
		C
	)

Definition at line 121 of file Factorize.h.

References cmsCodeRulesChecker::arg, GET, reco::get(), MINUS_S(), and relativeConstraints::value.

                                                     {
    typedef Divides<A, PROD_S(B, C)> Div;
    static const bool value = Div::value;
    typedef MINUS_S(A) arg;
    typedef typename Div::type type;
    GET(arg, Div::get(_._));
  };

funct::PROD_S	(	NUM(n)	,
		A
	)

Definition at line 149 of file SimplifyRatio.h.

                                                                 : 
    public SimplifyPowerRatio<PROD_S(NUM(n), A), NUM(1), NUM(1)> { };

funct::PROD_S	(	NUM(m)	,
		POWER_S(COS_S(A), NUM(2))
	)

Definition at line 140 of file SimplifyTrigonometric.h.

                                               :
    public SimpifyS2C2Sum<n, m, A> { };

funct::PROD_S	(	A	,
		B
	)

Definition at line 44 of file Factorize.h.

Referenced by PROD_S().

                                                       : 
    public ParametricDiv1<PROD_S(A, B)> { };

funct::RATIO_RULE	(	TYPT4	,
		RATIO_S(A, B)	,
		RATIO_S(C, D)	,
		RATIO(PROD(A, D), PROD(B, C))	,
		(_1._1 _2._2)/(_1._2 _2._1)
	)

funct::RATIO_RULE	(	TYPT3	,
		A	,
		RATIO_S(B, C)	,
		RATIO(PROD(A, C), B)	,
		(_1 *_2._2)/_2.	_1
	)

funct::RATIO_RULE	(	TYPT1	,
		A	,
		NUM(1)	,
		A	,
		_1
	)

funct::RATIO_RULE	(	TYPT4	,
		SUM_S(A, B)	,
		RATIO_S(C, D)	,
		RATIO(PROD(SUM(A, B), D), C)	,
		(_1 *_2._2)/_2.	_1
	)

funct::RATIO_RULE	(	TYPT2	,
		MINUS_S(A)	,
		B	,
		MINUS(RATIO(A, B))	,
		-	_1._/_2
	)

funct::RATIO_RULE	(	TYPT4	,
		PROD_S(A, B)	,
		RATIO_S(C, D)	,
		RATIO(PROD(PROD(A, B), D), C)	,
		(_1 *_2._2)/_2.	_1
	)

funct::RATIO_RULE	(	TYPT3	,
		RATIO_S(A, B)	,
		C	,
		RATIO(A, PROD(B, C))	,
		_1._1/	_1._2 *_2
	)

funct::RATIO_RULE	(	TYPN1T2	,
		RATIO_S(A, B)	,
		NUM(n)	,
		RATIO(A, PROD(NUM(n), B))	,
		_1._1/	_2 *_1._2
	)

funct::RATIO_RULE	(	TYPN1T1	,
		MINUS_S(A)	,
		NUM(n)	,
		MINUS(RATIO(A, NUM(n)))	,
		-	_1._/_2
	)

funct::RATIO_RULE	(	TYPT4	,
		RATIO_S(A, B)	,
		PROD_S(C, D)	,
		RATIO(A, PROD(PROD(B, C), D))	,
		_1._1/	_1._2 *_2
	)

funct::RATIO_RULE	(	TYPT1	,
		NUM(0)	,
		A	,
		NUM(0)	,
		num< 0 >	()
	)

funct::RATIO_RULE	(	TYPN1	,
		NUM(n)	,
		NUM(n)	,
		NUM(1)	,
		num< 1 >	()
	)

funct::RATIO_RULE	(	TYPT2	,
		PROD_S(A, B)	,
		NUM(1)	,
		PROD(A, B)	,
		_1
	)

funct::RATIO_RULE	(	TYPN2T2	,
		PROD_S(NUM(n), A)	,
		PROD_S(NUM(m), B)	,
		PROD_S(FRACT(n, m), RATIO(A, B))	,
		(PROD_S(FRACT(n, m), RATIO(A, B))((fract< n, m >()),(_1._2/_2._2)))
	)

template<typename T >

Sgn<T>::type funct::sgn ( const T & t ) [inline]

Definition at line 21 of file Sgn.h.

References funct::Sgn< T >::compose().

                                              { 
    return Sgn<T>::compose(t); 
  }

template<typename T >

Sin<T>::type funct::sin ( const T & t ) [inline]

Definition at line 22 of file Sin.h.

References funct::Sin< T >::compose().

{ return Sin<T>::compose(t); }

funct::SIN_RULE	(	TYPT1	,
		MINUS_S(A)	,
		MINUS(SIN(A))	,
		-	sin_._
	)

funct::SIN_S ( A )

Definition at line 81 of file SimplifyTrigonometric.h.

References COMBINE, COS, COS_S(), PROD, and SIN.

                                               {
    typedef PROD(SIN(A), COS(A)) type;
    COMBINE(COS_S(A), SIN_S(A), _2 * _1);
  };

template<typename F >

Slave<F> funct::slave ( const Master< F > & m )

Definition at line 71 of file FunctClone.h.

References m.

{ return Slave<F>(m); }

template<typename F >

Square<F>::type funct::sqr ( const F & f )

Definition at line 13 of file Square.h.

References pow().

                                         { 
    return pow(f, num<2>()); 
  }

template<typename T >

Sqrt<T>::type funct::sqrt ( const T & t ) [inline]

Definition at line 22 of file Sqrt.h.

References funct::Sqrt< T >::compose().

Referenced by funct::SqrtStruct< T >::operator double(), and funct::SqrtStruct< T >::operator()().

                                                { 
    return Sqrt<T>::compose(t); 
  }

funct::SUM_RULE	(	TYPN1T1	,
		NUM(n)	,
		A	,
		SUM(A, NUM(n))	,
		_2+	_1
	)

funct::SUM_RULE	(	TYPT2	,
		NUM(0)	,
		PROD_S(A, B)	,
		PROD_S(A, B)	,
		_2
	)

funct::SUM_RULE	(	TYP0	,
		NUM(0)	,
		NUM(0)	,
		NUM(0)	,
		num< 0 >	()
	)

funct::SUM_RULE	(	TYPT4	,
		SUM_S(A, B)	,
		SUM_S(C, D)	,
		SUM(SUM(SUM(A, B), C), D)	,
		(_1+_2._1)+_2.	_2
	)

funct::SUM_RULE	(	TYPT3	,
		A	,
		SUM_S(B, C)	,
		SUM(SUM(A, B), C)	,
		(_1+_2._1)+_2.	_2
	)

funct::SUM_RULE	(	TYPN1T2	,
		NUM(n)	,
		SUM_S(A, B)	,
		SUM(SUM_S(A, B), NUM(n))	,
		_2+	_1
	)

funct::SUM_RULE	(	TYPT2	,
		PROD_S(A, B)	,
		NUM(0)	,
		PROD_S(A, B)	,
		_1
	)

funct::SUM_RULE	(	TYPT1	,
		A	,
		NUM(0)	,
		A	,
		_1
	)

funct::SUM_RULE	(	TYPT2	,
		NUM(0)	,
		SUM_S(A, B)	,
		SUM_S(A, B)	,
		_2
	)

funct::SUM_RULE	(	TYPT2	,
		NUM(0)	,
		MINUS_S(PROD_S(A, B))	,
		MINUS_S(PROD_S(A, B))	,
		_2
	)

funct::SUM_RULE	(	TYPT2	,
		SUM_S(A, B)	,
		NUM(0)	,
		SUM_S(A, B)	,
		_1
	)

funct::SUM_S	(	B	,
		A
	)

Definition at line 102 of file SimplifyRatio.h.

Referenced by TEMPL().

                                                   : 
    public SimplifyRatioSum<A, B> { };

template<typename T >

Tan<T>::type funct::tan ( const T & t ) [inline]

Definition at line 22 of file Tan.h.

References funct::Tan< T >::compose().

                                              { 
    return Tan<T>::compose(t); 
  }

funct::TAN_RULE	(	TYPT1	,
		MINUS_S(A)	,
		MINUS(TAN(A))	,
		-	tan_._
	)

funct::TAN_S ( A )

Definition at line 62 of file SimplifyTrigonometric.h.

                                             : 
    public SimplifySTRatio<A> { };

funct::TEMPL ( N1T1 )

funct::TEMPL ( XT2 )

funct::TEMPL ( XT1 )

Definition at line 22 of file Derivative.h.

                                : 
    public ::boost::is_same<DERIV(X, A), NUM(0)> { };

funct::TEMPL ( T2 )

Definition at line 25 of file Factorize.h.

                           : 
    public Divides0<A> { };

funct::TEMPL ( T1 )

Definition at line 18 of file Factorize.h.

References A, cmsCodeRulesChecker::arg, GET, NUM(), and relativeConstraints::value.

                            {
    static const bool value = false;
    typedef A arg;
    typedef NUM(1) type;
    GET(arg, num<1>());
  };

funct::TEMPL ( T3 )

Definition at line 313 of file SimplifyRatio.h.

References A, printConversionInfo::aux, B, newFWLiteAna::base, C, COMBINE, RATIO, RATIO_S, SUM_S(), and relativeConstraints::value.

                              {
    struct ratio1 { 
      typedef RATIO_S(A, C) base;
      typedef RATIO(A, C) type;
      enum { value = ::boost::type_traits::ice_not<
	     ::boost::is_same<type, base>::value>::value };
    };
    struct ratio2 { 
      typedef RATIO_S(B, C) base;
      typedef RATIO(B, C) type;
      enum { value = ::boost::type_traits::ice_not<
	     ::boost::is_same<type, base>::value>::value };
    };
    typedef AuxSumRatio<A, B, C, 
			::boost::type_traits::ice_or<ratio1::value, ratio2::value>::value> aux;
    typedef typename aux::type type;
    COMBINE(SUM_S(A, B), C, aux::combine(_1, _2));
  };

funct::TEMPL ( N2T1 )

funct::TEMPL ( N2 )

funct::TEMPL ( N1T2 )

funct::TEMPL ( N1 )

funct::TEMPL ( T4 )

template<typename F >

double funct::trapezoid_integral	(	const F &	f,
		double	min,
		double	max,
		unsigned int	samples
	)

Definition at line 20 of file NumericalIntegration.h.

References delta, f, i, prof2calltree::l, and min.

Referenced by funct::TrapezoidIntegrator::operator()().

                                                                                      { 
      const double l = max - min, delta = l / samples;
      double sum = 0;
      for(unsigned int i = 0; i < samples; ++i) {
        sum += f(min + (i + 0.5) * delta);
      }
      return sum * delta;
    }