NEA-0462 SPLINE.

SPLINE, Spline Interpolation Function

NAME OR DESIGNATION OF PROGRAM, COMPUTER, NATURE OF PHYSICAL PROBLEM SOLVED, METHOD OF SOLUTION, RESTRICTIONS, CPU, FEATURES, AUXILIARIES, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM OR MONITOR UNDER WHICH PROGRAM IS EXECUTED, ANY OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: SPLINE.

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2. COMPUTERS

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Program name	Package id	Status	Status date
SPLINE	NEA-0462/01	Tested	01-FEB-1977

Machines used:

Package ID	Orig. computer	Test computer
NEA-0462/01	IBM 370 series	IBM 370 series

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3. NATURE OF PHYSICAL PROBLEM SOLVED

The problem is to obtain an interpolated function, as smooth as possible, that passes through given points. The derivatives of these functions are continuous up to the (2Q-1)th order.
The program consists of the following two subprograms: ASPLERQ. Transport of relations method for the spline functions of interpolation.
SPLQ. Spline interpolation.

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4. METHOD OF SOLUTION: The methods are described in the reference under item 10.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

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6. TYPICAL RUNNING TIME

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7. UNUSUAL FEATURES: UNUSUAL FEATURES OF THE PROGRAM

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8. RELATED OR AUXILIARY PROGRAMS: RELATED AND AUXILIARY PROGRAMS

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9. STATUS

Package ID	Status date	Status
NEA-0462/01	01-FEB-1977	Tested at NEADB

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10. REFERENCES

- J.P. Laurent:
'Approximation et Optimisation'
Editor Hermann (1972).

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11. MACHINE REQUIREMENTS

Depending on the number of data. The program is expected to work with LCM or ECS.

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NEA-0462/01	FORTRAN-IV

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13. OPERATING SYSTEM OR MONITOR UNDER WHICH PROGRAM IS EXECUTED: SCOPE 3.4.2 (CDC 7600). O.S./370 (IBM 370).

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14. ANY OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

To
optimize the resolution, the CDC version uses the two routines READEC and WRITEC to transfer data from LCM (or ECS) to main core or vice versa.

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15. NAME AND ESTABLISHMENT OF AUTHOR

   Y. Allouard
   Franlab Marine
   4, Avenue de Bois Preau
   92503 Rueil Malmaison Cedex

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16. MATERIAL AVAILABLE

NEA-0462/01

File name	File description	Records
NEA0462_01.001	'ASPLERQ','SPLQ' ROUTINES FORTRAN IV	280
NEA0462_01.002	'CALCUL','DON' ROUTINES-DRIVER FOR TEST	70
NEA0462_01.003	'READEC','WRITEC','RSL','SIMQ' ROUTINES-IBM	154
NEA0462_01.004	JCL FOR SAMPLE PROBLEM	13
NEA0462_01.005	TEST CASE PRINTED OUTPUT	179

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17. CATEGORIES

P. General Mathematical and Computing System Routines

Keywords: interpolation, optimization, special functions, spline functions.