NESC1130 PLOTNFIT.4TH.
PLOTNFIT.4TH, Data Plotting and Curve Fitting by Polynomials
NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROGRAM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHORS, MATERIAL, CATEGORIES
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| Program name | Package id | Status | Status date |
|---|---|---|---|
| PLOTNFIT.4TH | NESC1130/01 | Tested | 27-AUG-1990 |
Machines used:
| Package ID | Orig. computer | Test computer |
|---|---|---|
| NESC1130/01 | IBM PC | IBM PC |
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3. DESCRIPTION OF PROGRAM OR FUNCTION
PLOTnFIT is used for plotting and analyzing data by fitting nth degree polynomials of basis functions to the data interactively and printing graphs of the data and the polynomial functions. It can be used to generate linear, semilog, and log-log graphs and can automayically scale the coordinate axes to suit the data. Multiple data sets may be plotted on a single graph.
An auxiliary program, READ1ST, is included which produces an on-line summary of the information contained in the PLOTnFIT reference report.
PLOTnFIT is used for plotting and analyzing data by fitting nth degree polynomials of basis functions to the data interactively and printing graphs of the data and the polynomial functions. It can be used to generate linear, semilog, and log-log graphs and can automayically scale the coordinate axes to suit the data. Multiple data sets may be plotted on a single graph.
An auxiliary program, READ1ST, is included which produces an on-line summary of the information contained in the PLOTnFIT reference report.
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4. METHOD OF SOLUTION
PLOTnFIT uses the least squares method to calculate the coefficients of nth-degree (up to 10th degree) polynomials of 11 selected basis functions such that each polynomial fits the data in a least squares sense. The procedure incorporated in the code uses a linear combination of orthogonal polynomials to avoid "i11-conditioning" and to perform the curve fitting task with single-precision arithmetic.
PLOTnFIT uses the least squares method to calculate the coefficients of nth-degree (up to 10th degree) polynomials of 11 selected basis functions such that each polynomial fits the data in a least squares sense. The procedure incorporated in the code uses a linear combination of orthogonal polynomials to avoid "i11-conditioning" and to perform the curve fitting task with single-precision arithmetic.
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7. UNUSUAL FEATURES OF THE PROGRAM
PLOTnFIT is used to fit models (i.e. curves) to inexact data (i.e. data subject to measurements errors). It allows for modeling flexibility and the incorporation of data uncertainties, and yields model parameters and a statistical measure of goodness-of-fit.
In applications where there are no uncertainties in the data and the curve must pass exactly through the data points, methods (e.g., spline functions) other than those incorporated in PLOTnFIT should be used.
PLOTnFIT is used to fit models (i.e. curves) to inexact data (i.e. data subject to measurements errors). It allows for modeling flexibility and the incorporation of data uncertainties, and yields model parameters and a statistical measure of goodness-of-fit.
In applications where there are no uncertainties in the data and the curve must pass exactly through the data points, methods (e.g., spline functions) other than those incorporated in PLOTnFIT should be used.
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10. REFERENCES
- William G. Hood:
Polynomial Curve Fitter
Byte, Vol. 12, No. 6, pp. 155-160 (June 1987).
- Hugh D. Young:
Statistical Treatment of Experimental Data
McGraw-Hill, New York (1962).
- William H. Press et al.:
Numerical Recipes - The Art of Scientific Computing
Cambridge University Press, Cambridge, MA (1986).
- William G. Hood:
Polynomial Curve Fitter
Byte, Vol. 12, No. 6, pp. 155-160 (June 1987).
- Hugh D. Young:
Statistical Treatment of Experimental Data
McGraw-Hill, New York (1962).
- William H. Press et al.:
Numerical Recipes - The Art of Scientific Computing
Cambridge University Press, Cambridge, MA (1986).
NESC1130/01, included references:
- J.O. Schiffgens:PLOTnFIT - A BASIC Program for Data Plotting and Curve Fitting
NUREG-1378 (October 1989).
- ERRATA SHEET:
NUREG-1378 (February 22, 1990).
- L. Eyberger:
PLOTnFIT Flexible Disk Cartridge Description
NESC Note 90-49 (March 7, 1990).
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11. MACHINE REQUIREMENTS
PLOTnFIT requires an IBM PC, XT, AT, or compatible computer with 256 Kbytes of memory, one flexible disk drive, a color monitor, and color monitor graphics adaptor, and an Epson or compatible printer. A math coprocessor is recommended, but not required. PLOTnFIT may not run properly on a PC with a monochrome monitor. NESC executed PLOTnFIT successfully on an AT&T6300 with a monochrome monitor and CGA graphics adaptor.
PLOTnFIT requires an IBM PC, XT, AT, or compatible computer with 256 Kbytes of memory, one flexible disk drive, a color monitor, and color monitor graphics adaptor, and an Epson or compatible printer. A math coprocessor is recommended, but not required. PLOTnFIT may not run properly on a PC with a monochrome monitor. NESC executed PLOTnFIT successfully on an AT&T6300 with a monochrome monitor and CGA graphics adaptor.
NESC1130/01
IBM PC/AT with EGA color screen adapter and serial printer.[ top ]
NESC1130/01
MS-DOS 3.20 with BASICA or GW-BASIC interpreter.[ top ]
14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS
PLOTnFIT requires the DOS BASICA.COM and GRAPHICS.COM programs. GRAPHICS must be loaded prior to BASICA in order to produce printed copies of graphs displayed on the monitor screen. The computer must be connected to a printer, with the printer on, when PLOTnFIT.4TH is operating; a PLOTnFIT job always produces some printed output.
PLOTnFIT requires the DOS BASICA.COM and GRAPHICS.COM programs. GRAPHICS must be loaded prior to BASICA in order to produce printed copies of graphs displayed on the monitor screen. The computer must be connected to a printer, with the printer on, when PLOTnFIT.4TH is operating; a PLOTnFIT job always produces some printed output.
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NESC1130/01
| File name | File description | Records |
|---|---|---|
| NESC1130_01.001 | NEA DATA BANK information file | 72 |
| NESC1130_01.002 | BASICA source program | 0 |
| NESC1130_01.003 | Sample problem part 1 | 19 |
| NESC1130_01.004 | Sample problem part 2 | 19 |
| NESC1130_01.005 | User primer to PLOTNFIT | 0 |
| NESC1130_01.006 | DOS file-names | 5 |
Keywords: computer graphics, data analysis, least square fit, mathematical models, personal computers, polynomials, statistics.