6 #include "../Fper/Fminp.h" 26 static E_op Mu(
unsigned m);
35 static E_op MuVar(
const std::vector<unsigned> & weights);
37 static E_op BetaVar(
const std::vector<unsigned> & weights);
48 void add(
const gNg & term);
59 unsigned getM()
const;
61 unsigned getB()
const;
100 bool operator==(
const E_op & w)
const;
101 bool operator!=(
const E_op & w)
const;
102 bool operator<=(
const E_op & w)
const;
103 bool operator>=(
const E_op & w)
const;
104 bool operator>(
const E_op & w)
const;
105 bool operator<(
const E_op & w)
const;
static E_op E()
neutral E_op
Definition: E_op.cpp:14
std::vector< gNg > getTerms() const
Returns the set of gNg terms for the current E-operator.
Definition: E_op.cpp:103
std::string toStringAsMuVar() const
Returns a string which describes the E-operator with a <seq> description.
Definition: E_op.cpp:155
static E_op BetaVar(const std::vector< unsigned > &weights)
E_op::BetaVar({1,2}) is an E-operator <seq> defined by a sequence of weights.
Definition: E_op.cpp:60
unsigned getM() const
Returns the M value in the (B,M) periodicity.
Definition: E_op.cpp:118
E_op otimes(const E_op &f) const
Product of E_op elements.
Definition: E_op.cpp:209
std::string toString() const
Returns a string which describes the E-operator.
Definition: E_op.cpp:143
static E_op Beta(unsigned b)
E_op::Beta(c) is the operator.
Definition: E_op.cpp:26
static E_op Mu(unsigned m)
E_op::Mu(c) is the operator.
Definition: E_op.cpp:21
E_op operator*(const E_op &f) const
Product of E_op elements.
Definition: E_op.cpp:203
static E_op MuVar(const std::vector< unsigned > &weights)
E_op::MuVar({1,2}) is an E-operator <seq> defined by a sequence of weights.
Definition: E_op.cpp:41
void setFromFw(const Fminp &)
Defines the current E-operator from a counter-to-counter function.
Definition: E_op.cpp:186
void add(const gNg &term)
Add a gNg term to the current E-operator.
Definition: E_op.cpp:88
std::ostream & operator<<(std::ostream &f, const dDd &m)
Definition: dDd.cpp:313
Definition: etvoException.cpp:5
E_op osum(const E_op &f) const
osum (classical sum) of E_op elements
Definition: E_op.cpp:221
E_op()
default initialization is the neutral E-operator
Definition: E_op.cpp:78
unsigned getB() const
Returns the B value in the (B,M) periodicity.
Definition: E_op.cpp:123
std::pair< unsigned, unsigned > getPeriodicity() const
Returns the periodicity of the Fw Counter-to-Counter function (B,M)
Definition: E_op.cpp:98
E_op operator+(const E_op &f) const
Sum of E_op elements.
Definition: E_op.cpp:191
Class to describe terms in E[[d]] written g^n.Nabla_(m|b).g^n' = g^nl.M_m.B_b.g^nr.
Definition: gNg.h:34
E_op rfrac(const E_op &f) const
right residuation
Definition: E_op.cpp:234
static E_op Nabla(unsigned m, unsigned b)
E_op::Nabla(m,b) is the . composed operator.
Definition: E_op.cpp:31
Class for pseudo - periodic functions with oplus=min and otimes=composition.
Definition: Fminp.h:24
E_op inf(const E_op &f) const
Infimum of E_op elements.
Definition: E_op.cpp:214
E_op oplus(const E_op &f) const
Sum of E_op elements.
Definition: E_op.cpp:198
void reduce()
Reduce to the canonical form.
Definition: E_op.cpp:138
Fminp getFw() const
Returns the Fminp Counter-to-counter function.
Definition: E_op.cpp:181
int Fw(int ki) const
Gives the evaluation of the underlying Fw (Counter-to-counter function)
Definition: E_op.cpp:176
Class to describe E-operators which are coefficients of terms in E[[d]]. One E_op element is defined ...
Definition: E_op.h:20
E_op lfrac(const E_op &f) const
left residuation
Definition: E_op.cpp:227
E_op extendBy(unsigned mul) const
Extend the E-operator in a non canonical form.
Definition: E_op.cpp:128
static E_op Gamma(int n)
E_op::Gamma(n) is the E-operator.
Definition: E_op.cpp:72