LORENE
Mtbl Mathematics
Spectral representation.

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Functions

Mtbl Lorene::operator+ (const Mtbl &)
Mtbl Lorene::operator- (const Mtbl &)
 - Mtbl
Mtbl Lorene::operator+ (const Mtbl &, const Mtbl &)
 Mtbl + Mtbl.
Mtbl Lorene::operator+ (const Mtbl &, double)
 Mtbl + double.
Mtbl Lorene::operator+ (double, const Mtbl &)
 double + Mtbl
Mtbl Lorene::operator+ (const Mtbl &, int)
 Mtbl + int.
Mtbl Lorene::operator+ (int, const Mtbl &)
 int + Mtbl
Mtbl Lorene::operator- (const Mtbl &, const Mtbl &)
 Mtbl - Mtbl.
Mtbl Lorene::operator- (const Mtbl &, double)
 Mtbl - double.
Mtbl Lorene::operator- (double, const Mtbl &)
 double - Mtbl
Mtbl Lorene::operator- (const Mtbl &, int)
 Mtbl - int.
Mtbl Lorene::operator- (int, const Mtbl &)
 int - Mtbl
Mtbl Lorene::operator* (const Mtbl &, const Mtbl &)
 Mtbl * Mtbl.
Mtbl Lorene::operator* (const Mtbl &, double)
 Mtbl * double.
Mtbl Lorene::operator* (double, const Mtbl &)
 double * Mtbl
Mtbl Lorene::operator* (const Mtbl &, int)
 Mtbl * int.
Mtbl Lorene::operator* (int, const Mtbl &)
 int * Mtbl
Mtbl Lorene::operator/ (const Mtbl &, const Mtbl &)
 Mtbl / Mtbl.
Mtbl Lorene::operator/ (const Mtbl &, double)
 Mtbl / double.
Mtbl Lorene::operator/ (double, const Mtbl &)
 double / Mtbl
Mtbl Lorene::operator/ (const Mtbl &, int)
 Mtbl / int.
Mtbl Lorene::operator/ (int, const Mtbl &)
 int / Mtbl
Mtbl Lorene::sin (const Mtbl &)
 Sine.
Mtbl Lorene::cos (const Mtbl &)
 Cosine.
Mtbl Lorene::tan (const Mtbl &)
 Tangent.
Mtbl Lorene::asin (const Mtbl &)
 Arcsine.
Mtbl Lorene::acos (const Mtbl &)
 Arccosine.
Mtbl Lorene::atan (const Mtbl &)
 Arctangent.
Mtbl Lorene::exp (const Mtbl &)
 Exponential.
Mtbl Lorene::Heaviside (const Mtbl &)
 Heaviside function.
Mtbl Lorene::log (const Mtbl &)
 Neperian logarithm.
Mtbl Lorene::log10 (const Mtbl &)
 Basis 10 logarithm.
Mtbl Lorene::sqrt (const Mtbl &)
 Square root.
Mtbl Lorene::racine_cubique (const Mtbl &)
 Cube root.
Mtbl Lorene::pow (const Mtbl &, int)
 Power ${\tt Mtbl}^{\tt int}$.
Mtbl Lorene::pow (const Mtbl &, double)
 Power ${\tt Mtbl}^{\tt double}$.
Mtbl Lorene::abs (const Mtbl &)
 Absolute value.
double Lorene::totalmax (const Mtbl &)
 Maximum value of the Mtbl elements in all domains.
double Lorene::totalmin (const Mtbl &)
 Minimum value of the Mtbl elements in all domain.
Tbl Lorene::max (const Mtbl &)
 Maximum values of the Mtbl elements in each domain.
Tbl Lorene::min (const Mtbl &)
 Minimum values of the Mtbl elements in each domain.
Tbl Lorene::norme (const Mtbl &)
 Sums of the absolute values of all the Mtbl elements in each domain.
Tbl Lorene::diffrel (const Mtbl &a, const Mtbl &b)
 Relative difference between two Mtbl (norme version).
Tbl Lorene::diffrelmax (const Mtbl &a, const Mtbl &b)
 Relative difference between two Mtbl (max version).

Detailed Description

()

Function Documentation

◆ abs()

Mtbl Lorene::abs ( const Mtbl & ti)

Absolute value.

Definition at line 464 of file mtbl_math.C.

References abs(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ acos()

Mtbl Lorene::acos ( const Mtbl & ti)

Arccosine.

Definition at line 187 of file mtbl_math.C.

References acos(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ asin()

Mtbl Lorene::asin ( const Mtbl & ti)

Arcsine.

Definition at line 162 of file mtbl_math.C.

References asin(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ atan()

Mtbl Lorene::atan ( const Mtbl & ti)

Arctangent.

Definition at line 216 of file mtbl_math.C.

References atan(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ cos()

Mtbl Lorene::cos ( const Mtbl & ti)

Cosine.

Definition at line 108 of file mtbl_math.C.

References cos(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ diffrel()

Tbl Lorene::diffrel ( const Mtbl & a,
const Mtbl & b )

Relative difference between two Mtbl (norme version).

Returns
1-D Tbl of size the number of domains, the elements of which are norme[a(l)-b(l)]/norme[b(l)] if b(l)!=0 and norme[a(l)-b(l)] if b(l)=0 , where a(l) and b(l) denote symbolically the values of a and b
in domain no. l .

Definition at line 641 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Tbl::get_etat(), Lorene::Mtbl::get_nzone(), norme(), Lorene::Tbl::set(), and Lorene::Tbl::set_etat_qcq().

◆ diffrelmax()

Tbl Lorene::diffrelmax ( const Mtbl & a,
const Mtbl & b )

Relative difference between two Mtbl (max version).

Returns
1-D Tbl of size the number of domains, the elements of which are max[abs(a(l)-b(l))]/max[abs(b(l))] if b(l)!=0 and max[abs(a(l)-b(l))] if b(l)=0 , where a(l) and b(l) denote symbolically the values of a and b
in domain no. l .

Definition at line 674 of file mtbl_math.C.

References abs(), Lorene::Mtbl::get_etat(), Lorene::Tbl::get_etat(), Lorene::Mtbl::get_nzone(), max(), Lorene::Tbl::set(), and Lorene::Tbl::set_etat_qcq().

◆ exp()

Mtbl Lorene::exp ( const Mtbl & ti)

Exponential.

Definition at line 291 of file mtbl_math.C.

References exp(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ Heaviside()

Mtbl Lorene::Heaviside ( const Mtbl & ti)

Heaviside function.

Definition at line 320 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Heaviside(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ log()

Mtbl Lorene::log ( const Mtbl & ti)

Neperian logarithm.

Definition at line 349 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), log(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ log10()

Mtbl Lorene::log10 ( const Mtbl & ti)

Basis 10 logarithm.

Definition at line 375 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), log10(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ max()

Tbl Lorene::max ( const Mtbl & mti)

Maximum values of the Mtbl elements in each domain.

Returns
1-D Tbl of size the number of domains, the elements of which are the set of the maximum values in each domain.

Definition at line 554 of file mtbl_math.C.

References Lorene::Tbl::annule_hard(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), max(), Lorene::Tbl::set(), Lorene::Tbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ min()

Tbl Lorene::min ( const Mtbl & mti)

Minimum values of the Mtbl elements in each domain.

Returns
1-D Tbl of size the number of domains, the elements of which are the set of the minimum values in each domain.

Definition at line 583 of file mtbl_math.C.

References Lorene::Tbl::annule_hard(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), min(), Lorene::Tbl::set(), Lorene::Tbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ norme()

Tbl Lorene::norme ( const Mtbl & mti)

Sums of the absolute values of all the Mtbl elements in each domain.

Returns
1-D Tbl of size the number of domains, the elements of which are the set of the sums of the absolute values in each domain.

Definition at line 612 of file mtbl_math.C.

References Lorene::Tbl::annule_hard(), Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), norme(), Lorene::Tbl::set(), Lorene::Tbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ operator*() [1/5]

Mtbl Lorene::operator* ( const Mtbl & t1,
const Mtbl & t2 )

Mtbl * Mtbl.

Definition at line 316 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), r, and Lorene::Mtbl::t.

◆ operator*() [2/5]

Mtbl Lorene::operator* ( const Mtbl & t1,
double x )

Mtbl * double.

Definition at line 347 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), r, and x.

◆ operator*() [3/5]

Mtbl Lorene::operator* ( const Mtbl & t1,
int m )

Mtbl * int.

Definition at line 385 of file mtbl_arithm.C.

◆ operator*() [4/5]

Mtbl Lorene::operator* ( double x,
const Mtbl & t1 )

double * Mtbl

Definition at line 378 of file mtbl_arithm.C.

References x.

◆ operator*() [5/5]

Mtbl Lorene::operator* ( int m,
const Mtbl & t1 )

int * Mtbl

Definition at line 392 of file mtbl_arithm.C.

◆ operator+() [1/6]

Mtbl Lorene::operator+ ( const Mtbl & t1)

Definition at line 95 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat().

◆ operator+() [2/6]

Mtbl Lorene::operator+ ( const Mtbl & t1,
const Mtbl & t2 )

Mtbl + Mtbl.

Definition at line 132 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), r, and Lorene::Mtbl::t.

◆ operator+() [3/6]

Mtbl Lorene::operator+ ( const Mtbl & t1,
double x )

Mtbl + double.

Definition at line 163 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), r, and x.

◆ operator+() [4/6]

Mtbl Lorene::operator+ ( const Mtbl & t1,
int m )

Mtbl + int.

Definition at line 205 of file mtbl_arithm.C.

◆ operator+() [5/6]

Mtbl Lorene::operator+ ( double x,
const Mtbl & t1 )

double + Mtbl

Definition at line 198 of file mtbl_arithm.C.

References x.

◆ operator+() [6/6]

Mtbl Lorene::operator+ ( int m,
const Mtbl & t1 )

int + Mtbl

Definition at line 212 of file mtbl_arithm.C.

◆ operator-() [1/6]

Mtbl Lorene::operator- ( const Mtbl & t1)

- Mtbl

Definition at line 105 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), r, and Lorene::Mtbl::t.

◆ operator-() [2/6]

Mtbl Lorene::operator- ( const Mtbl & t1,
const Mtbl & t2 )

Mtbl - Mtbl.

Definition at line 224 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), r, and Lorene::Mtbl::t.

◆ operator-() [3/6]

Mtbl Lorene::operator- ( const Mtbl & t1,
double x )

Mtbl - double.

Definition at line 255 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), r, and x.

◆ operator-() [4/6]

Mtbl Lorene::operator- ( const Mtbl & t1,
int m )

Mtbl - int.

Definition at line 298 of file mtbl_arithm.C.

◆ operator-() [5/6]

Mtbl Lorene::operator- ( double x,
const Mtbl & t1 )

double - Mtbl

Definition at line 291 of file mtbl_arithm.C.

References x.

◆ operator-() [6/6]

Mtbl Lorene::operator- ( int m,
const Mtbl & t1 )

int - Mtbl

Definition at line 305 of file mtbl_arithm.C.

◆ operator/() [1/5]

Mtbl Lorene::operator/ ( const Mtbl & t1,
const Mtbl & t2 )

Mtbl / Mtbl.

Definition at line 403 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), r, and Lorene::Mtbl::t.

◆ operator/() [2/5]

Mtbl Lorene::operator/ ( const Mtbl & t1,
double x )

Mtbl / double.

Definition at line 436 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), r, and x.

◆ operator/() [3/5]

Mtbl Lorene::operator/ ( const Mtbl & t1,
int n )

Mtbl / int.

Definition at line 465 of file mtbl_arithm.C.

◆ operator/() [4/5]

Mtbl Lorene::operator/ ( double x,
const Mtbl & t1 )

double / Mtbl

Definition at line 472 of file mtbl_arithm.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), r, Lorene::Mtbl::t, and x.

◆ operator/() [5/5]

Mtbl Lorene::operator/ ( int m,
const Mtbl & t1 )

int / Mtbl

Definition at line 506 of file mtbl_arithm.C.

◆ pow() [1/2]

Mtbl Lorene::pow ( const Mtbl & ti,
double x )

Power ${\tt Mtbl}^{\tt double}$.

Definition at line 433 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), pow(), Lorene::Mtbl::set_etat_qcq(), Lorene::Mtbl::t, and x.

◆ pow() [2/2]

Mtbl Lorene::pow ( const Mtbl & ti,
int n )

Power ${\tt Mtbl}^{\tt int}$.

Definition at line 401 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), pow(), Lorene::Mtbl::set_etat_qcq(), Lorene::Mtbl::t, and x.

◆ racine_cubique()

Mtbl Lorene::racine_cubique ( const Mtbl & ti)

Cube root.

Definition at line 267 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), racine_cubique(), Lorene::Mtbl::set_etat_qcq(), and Lorene::Mtbl::t.

◆ sin()

Mtbl Lorene::sin ( const Mtbl & ti)

Sine.

Definition at line 83 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), sin(), and Lorene::Mtbl::t.

◆ sqrt()

Mtbl Lorene::sqrt ( const Mtbl & ti)

Square root.

Definition at line 241 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), sqrt(), and Lorene::Mtbl::t.

◆ tan()

Mtbl Lorene::tan ( const Mtbl & ti)

Tangent.

Definition at line 137 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_mg(), Lorene::Mtbl::get_nzone(), Lorene::Mtbl::set_etat_qcq(), Lorene::Mtbl::t, and tan().

◆ totalmax()

double Lorene::totalmax ( const Mtbl & mti)

Maximum value of the Mtbl elements in all domains.

Returns
a double

Definition at line 497 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), max(), and Lorene::Mtbl::t.

◆ totalmin()

double Lorene::totalmin ( const Mtbl & mti)

Minimum value of the Mtbl elements in all domain.

Returns
a double

Definition at line 525 of file mtbl_math.C.

References Lorene::Mtbl::get_etat(), Lorene::Mtbl::get_nzone(), min(), and Lorene::Mtbl::t.