table_import

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table_import

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{  TABLE_IMPORT.PDE

 

 This example reads a 1D table created by TABLE_EXPORT.PDE and fits

 the data with a cubic spline.  It then compares derivatives with

 analytic values.    

 

}  

 

title '1D Spline table import'  

 

select  

   regrid=off  

 

definitions  

    u = spline table("table_export_output/gauss1.tbl")  

    gu = exp(-16*x^2)  

boundaries  

    Region 1  

      start(-1,-1)  

      line to (1,-1) to (1,1) to (-1,1) to close  

plots  

    contour(u) as "imported data"  

    contour(dx(u)) as "X-derivative of imported data"  

    contour(dxx(u)) as "XX-derivative of imported data"  

    elevation(u, gu) from(-1,0) to (1,0) as "Imported data and exact function"  

    elevation(dx(u), dx(gu)) from(-1,0) to (1,0) as "Imported X-derivative and exact function"  

    elevation(dxx(u), dxx(gu)) from(-1,0) to (1,0) as "Imported XX-derivative and exact function"  

 

end