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Namespaces |
namespace | funct |
Classes |
struct | funct::ConstPrimitive< X, F, independent > |
struct | funct::ConstPrimitive< X, F, true > |
struct | funct::PartIntegral<, bint, aint > |
struct | funct::PartIntegral2<, bint, aint > |
struct | funct::Primitive< F, X > |
struct | funct::Primitive< F > |
struct | funct::Primitive< Parameter > |
struct | funct::ProductPrimitive<, indepf, indepg > |
struct | funct::RatioPrimitive<, indepa, indepb > |
struct | funct::UndefinedIntegral |
Defines |
#define | DECLARE_FUNCT_PRIMITIVE(F, P) |
#define | DECLARE_PRIMITIVE(X, F, P) |
Functions |
| funct::PRIMIT_RULE (TYPXT1, MINUS_S(A), MINUS(PRIMIT(X, A)),-primitive< X >(_._)) |
| funct::PRIMIT_RULE (TYPXT2, SUM_S(A, B), SUM(PRIMIT(X, A), PRIMIT(X, B)), primitive< X >(_._1)+primitive< X >(_._2)) |
| 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._)) |
| funct::PRIMIT_RULE (TYPX, RATIO_S(NUM(1), POWER_S(COS_S(X), NUM(2))), TAN(X), tan(_._2._1._)) |
| funct::PRIMIT_RULE (TYPX, POWER_S(X, NUM(-1)), LOG(ABS(X)), log(abs(_._1))) |
| funct::PRIMIT_RULE (TYPX, RATIO_S(NUM(1), X), LOG(ABS(X)), log(abs(_._2))) |
| funct::PRIMIT_RULE (TYPX, TAN_S(X), MINUS(LOG(ABS(COS(X)))),-log(abs(cos(_._)))) |
| funct::PRIMIT_RULE (TYPX, COS_S(X), SIN(X), sin(_._)) |
| funct::PRIMIT_RULE (TYPX, SIN_S(X), MINUS(COS(X)),-cos(_._)) |
| funct::PRIMIT_RULE (TYPX, SGN_S(X), ABS(X), abs(_._)) |
| funct::PRIMIT_RULE (TYPX, LOG_S(X), PROD(X, DIFF(LOG(X), NUM(1))), _._ *(_-num< 1 >())) |
| funct::PRIMIT_RULE (TYPX, EXP_S(X), EXP(X), _) |
| 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 (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 (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 (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, X, RATIO(POWER(X, NUM(2)), NUM(2)), pow(_, num< 2 >())/num< 2 >()) |
| funct::PRIMIT_RULE (TYPXT2, POWER_S(A, B), UndefinedIntegral, type()) |
template<typename X, typename F> |
Primitive< F, X >::type | funct::primitive (const F &f) |
| funct::TEMPL (XT2) struct PartIntegral<X |
Variables |
| funct::false |
| funct::true |