Operator CALC_FONC

Code_Aster

Version

7.4

Titrate:

Operator

CALC_FONC_INTERP

Date:

31/01/05

Author (S):

COURTEOUS Mr.,

J.P. LEFEBVRE, L. VIVAN

Key

U4.32.01-F

Page

1/6

Instruction manual

U4.3- booklet: Function

HT-66/05/004/A

Organization (S):

EDF-R & D/AMA, CS-SI

Instruction manual
U4.3- booklet: Function
Document: U4.32.01

Operator

CALC_FONC_INTERP

1 Goal

To build a concept of the function type starting from a function FORMULATES to 1 or 2 variables. Can

to be defined real functions with real and complex variables and tablecloths.

One can also produce a new real or complex function, or a tablecloth while interpolating
another real, complex function or a tablecloth.

The use of

CALC_FONC_INTERP

a preliminary tabulation of the formula allows. Its use is

recommended before any transitory and/or nonlinear analysis for reasons of performances.
The operator is not any more réentrant: he takes a formula in argument and produces a function or one
tablecloth.

Code_Aster

Version

7.4

Titrate:

Operator

CALC_FONC_INTERP

Date:

31/01/05

Author (S):

COURTEOUS Mr.,

J.P. LEFEBVRE, L. VIVAN

Key

U4.32.01-F

Page

2/6

Instruction manual

U4.3- booklet: Function

HT-66/05/004/A

2 Syntax

Fr = CALC_FONC_INTERP

(

FUNCTION

[formula]

[function]

[fonction_c]

[tablecloth]

NOM_RESU

=/“TOUTRESU”

[DEFECT]

NR,

[K8]

NOM_PARA =

Np,

VALE_PARA

lvale

, [l_R]

LIST_PARA

will lpara

[listr8]

PROL_DROITE

/“CONSTANT”,

/“LINEAR”,

/“EXCLUDED”

[DEFECT]

PROL_GAUCHE =

/“CONSTANT”,

/“LINEAR”,

/“EXCLUDED”

[DEFECT]

Interpol

“FLAX”,

[DEFECT]

“LOG”,

[l_Kn]

“NOT”,

NOM_PARA_FONC = npf,

/VALE_PARA_FONC = lvalef,

[l_R]

LIST_PARA_FONC

lparaf,

[listr8]

PROL_DROITE_FONC

=/“CONSTANT”,

/“LINEAR”,

/“EXCLUDED”

[DEFECT]

PROL_GAUCHE_FONC =

/“CONSTANT”,

/“LINEAR”,

/“EXCLUDED”

[DEFECT]

INTERPOL_FONC

“FLAX”,

[DEFECT]

“LOG”,

[l_Kn]

“NOT”,

INFORMATION

[DEFECT]

/2,

TITRATE

[l_Kn]

)

The type of Fr is a function, fonction_c or tablecloth according to arguments'.

Code_Aster

Version

7.4

Titrate:

Operator

CALC_FONC_INTERP

Date:

31/01/05

Author (S):

COURTEOUS Mr.,

J.P. LEFEBVRE, L. VIVAN

Key

U4.32.01-F

Page

3/6

Instruction manual

U4.3- booklet: Function

HT-66/05/004/A

3 Operands

3.1 Operand

FUNCTION

FUNCTION = F

Name of

FORMULATE

(interpretable function (

FORMULATE

Cf [U4.31.05])).

This function can be with one or two variables.

One can however create a new function (respectively fonction_c, tablecloth) to leave

of a function (respectively fonction_c, tablecloth) by interpolating the first on a list

parameters different. This probability is primarily used in
macro-controls.

3.2 Operand

NOM_RESU

NOM_RESU = NR

Indicate the name of the result,

function

thus created is a function whose value is of

name

(8 characters).

3.3 Operand

NOM_PARA

NOM_PARA = NR

Indicate the name of the parameter of the function or tablecloth. By defect, the name of the parameter
formula or provided function is employed.

3.4 Operands

VALE_PARA/LIST_PARA

/VALE_PARA = lvale,

lvale

is the list of the values of the parameter.

/LIST_PARA = will lpara,

will lpara

is the list of the values of the parameter: it is a concept of the type

listr8

created

previously by the control

DEFI_LIST_REEL

[U4.34.01].

3.5 Operands

PROL_DROITE

and

PROL_GAUCHE

PROL_DROITE and PROL_GAUCHE =

Define the type of prolongation on the right (on the left) of the field of definition of
parameter of the function or the tablecloth

“CONSTANT”

for a prolongation with the last (or first) value of
function,

“LINEAR”

for a prolongation along the first definite segment
(

PROL_GAUCHE)

last definite segment (

PROL_DROITE

“EXCLUDED”

the extrapolation of the values apart from the field of definition of
parameter is prohibited (in this case if a calculation requires a value
function out of the field of definition, the code will stop in
fatal error),

Code_Aster

Version

7.4

Titrate:

Operator

CALC_FONC_INTERP

Date:

31/01/05

Author (S):

COURTEOUS Mr.,

J.P. LEFEBVRE, L. VIVAN

Key

U4.32.01-F

Page

4/6

Instruction manual

U4.3- booklet: Function

HT-66/05/004/A

3.6 Operand

Interpol

Interpol

Type of interpolation of the function enters the values of the variable or type of interpolation of
tablecloth enters the values of the parameter. Behind this key word one awaits a parameter list
(two to the maximum).

“FLAX”: linear,

“LOG”: logarithmic curve,

“NOT”: one does not interpolate (and thus the program will stop if for the value is asked

function for a value of the parameter where it was not defined).

If only one value is given, the interpolation will be identical for the X-coordinates and them
ordinates. If two values are given, the first corresponds to the interpolation of
X-coordinates and the second with the interpolation of the ordinates.

3.7 Operand

NOM_PARA_FONC

NOM_PARA_FONC = NR

Indicate the name of the variable of the functions defining the tablecloth.

3.8 Operands

VALE_PARA_FONC/LIST_PARA_FONC

/VALE_PARA_FONC = lvale,

lvale

is the list of the values of the variable of the functions defining the tablecloth.

/LIST_PARA_FONC = will lpara,

will lpara

is the list of the values of the variable of the functions defining the tablecloth: it is one

concept of the type

listr8

created previously by the control

DEFI_LIST_REEL

[U4.34.01].

3.9 Operands

PROL_DROITE_FONC

and

PROL_GAUCHE_FONC

PROL_DROITE_FONC and PROL_GAUCHE_FONC =

Define the type of prolongation on the right (on the left) of the field of definition of
variable of the functions of the tablecloth:

“CONSTANT”

“LINEAR”

“EXCLUDED”

the same direction has as previously.

3.10 Operand

INTERPOL_FONC

INTERPOL_FONC

Defining type of interpolation of the functions between the values of the variable of the functions
tablecloth. Behind this key word one awaits a parameter list (two to the maximum).

Operation is identical to Interpol.

3.11 Operand

INFORMATION

INFORMATION

Specify the options of impression on the file

MESSAGE

no the impression (default option)

impression of the parameters plus the list of the first 10 values in the order

crescent of the parameter

3.12 Operand

TITRATE

TITRATE = Ti

Titrate attached to the concept produced by this operator [U4.03.01].

Code_Aster

Version

7.4

Titrate:

Operator

CALC_FONC_INTERP

Date:

31/01/05

Author (S):

COURTEOUS Mr.,

J.P. LEFEBVRE, L. VIVAN

Key

U4.32.01-F

Page

5/6

Instruction manual

U4.3- booklet: Function

HT-66/05/004/A

4 Examples

4.1

Case of a function

4.1.1 To define the function

FORMULATE sin (T)

IF = FORMULA (NOM_PARA = “INST”,
VALE =

sin (INST)

)

4.1.2 Tabuler

sin (T)

starting from a list of realities

DEPI =

2.* pi

PAS0 =

DEPI/200.

LI1

= DEFI_LIST_REEL (BEGINNING = 0, INTERVALLE=_F (JUSQU_A=DEPI, PAS=PAS0),)

SI1

= CALC_FONC_INTERP (FONCTION= IF, LIST_PARA = LI1,

NOM_RESU =

“DEPL”,

PROL_GAUCHE=' EXCLU',

PROL_DROITE=' CONSTANT',

INTERPOL=' LIN',

TITER=' FUNCTION SINUS')

4.1.3 Tabuler

sin (T)

starting from a list of values

LI2

= (0., 0.01, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.10)

SI2

= CALC_FONC_INTERP (FUNCTION = IF, VALE_PARA = LI2,

NOM_PARA

= ' INST',

PROL_GAUCHE

“EXCLUDED”,

PROL_DROITE

“EXCLUDED”,

Interpol

“FLAX”,

TITRATE = “FUNCTION SINE”)

4.2

Case of a tablecloth

4.2.1 To define the function

FORMULATE sin (

IF = FORMULA (NOM_PARA = (“INST”, “FREQ”),
VALE =

sin (2 * pi * FREQ * INST)

)

4.2.2 Tabuler

sin (

starting from a list of moments

The parameter of the tablecloth is “FREQ”, the variable of the functions defining the tablecloth is “INST”.

LI_FREQ =

DEFI_LIST_REEL

(BEGINNING = 10, INTERVALLE=_F (JUSQU_A=100, PAS=10),)

LI_INST =

DEFI_LIST_REEL

(BEGINNING = 0, INTERVALLE=_F (JUSQU_A=100, PAS=1),)

SI1

= CALC_FONC_INTERP (FONCTION= IF,

NOM_RESU = “DEPL”,

NOM_PARA_FONC=' INST',

LIST_PARA_FONC = LI_INST

PROL_GAUCHE_FONC=' EXCLU',

PROL_DROITE_FONC=' CONSTANT',

INTERPOL_FONC=' LIN',

NOM_PARA=' FREQ',
LIST_PARA = LI_FREQ

PROL_GAUCHE=' LINEAIRE',

PROL_DROITE=' LINEAIRE',

INTERPOL=' LIN',
TITER=' FUNCTION SINUS',)