!--- Opening output file: PCoes.txt                      2021.04.06.0617.56.093
This is:    "PolyGen.exe",         By: Jeff Setterholm
         Version 1. 2021.03.31    Lakeville, MN 55044 USA

 Output: a large binary file of very accurate matrix coefficients.
       : Up to 8th order the nearest integers are scaled exact values
           & can be written to a .csv file by `Polyize.exe`.
       : 2000+ coefficient polynomials up to 20th order can be computed.

"IntroToPolyGen.txt" - has some background information.
       "PolyGen.ini" - has your program control inputs.
                       ... opening it now...
!--- Run configuration:
Values  #
     2,:1 nVT             -independent variables
      ,:2`order` =power of each variable- evens only
     4,
     4,
     1,:3 iPolyClass       - 1:exact, 2:unscaled
      ,:4 TEC             - Time Estimate Coefficient
=     218422.0
!--- Assigned internally:
     2,:5 iOutFiles Output- 1:.csv, 2:.bin, 3:both
      ,:6 cFileOut        - `PolyGen`+hex+`.bin`
      ,:6 cFileOut        - `PolyGen`+hex+`.bin`
=                            PCoesE244.bin
                      order indices ^ are augmented hexadecimals:{ 0,15}->{0:f}
                                       -&- 16->g 17->h 18->i 19->j   20 ->   k
!--- Overview:
            4, :Highest `order`
            2, :# of variables
            4, :Order of X( 1)
            4, :Order of X( 2)
           25, :# of  Poly  Coeff`s
          625, :# of matrix Coeff`s
            0.003,  estimated runtime (minutes)
!--- Data entry - done                                   2021.04.06.0617.56.109
!---                                        task`s time:           .    .  . 16
All arrays needed have been successfully allocated

Subroutine PowersMatrixGen():
!--- MatrixExportPrep():
                  0.256000000000000000000000000000E+03, Division factor
                256.000000000000000000000000000000,

                  0.100000000000000000000000000000E+01, matrix MaxAbs
                  1.000000000000000000000000000000,

                  0.390625000000000000000000000000E-02, matrix MinAbs
                  0.003906250000000000000000000000,

                             256.000, :Matrix - biggest integer- decimal
                             256.000, :storage space needed- i*1,i*2,i*4,i*8
21098765432109876543210987654321, :digits index
  3         2         1
                  5, : digits recommended w/`.`
!--- Powers matrix - done                                2021.04.06.0617.56.125
!---                                        task`s time:           .    .  . 16

Coe[,] = inverse(Pow[,]), inversion progress bar...
                  0.309688665911522775786579586565E-05, :Determinant
                  0.000003096886659115227757865796,
!---                                                     2021.04.06.0617.56.125
Evaluating the inversion accuracy...
   0.642E-30, :AbsMax r*16 inversion error in [Coe*Pow-I]
!--- Powers matrix - inverted                            2021.04.06.0617.56.125
!---                                        task`s time:           .    .  .
!--- MatrixExportPrep():
                  0.360000000000000000000000000000E+02, Division factor
                 36.000000000000000000000000000000,

                  0.250000000000000000000000000000E+02, matrix MaxAbs
                 24.999999999999999999999999999999,

                  0.277777777777777777777777777777E-01, matrix MinAbs
                  0.027777777777777777777777777778,

                             900.000, :Matrix - biggest integer- decimal
                             900.000, :storage space needed- i*1,i*2,i*4,i*8
21098765432109876543210987654321, :digits index
  3         2         1
                  5, : digits recommended w/`.`
!--- Coeffs matrix - done                                2021.04.06.0617.56.140
!---                                        task`s time:           .    .  . 15

 PCoesE244.bin
Binary file data write/read sequence- integer*4`s & real*16`s:
           4, i* 4 nVT       -Number of independent variables  fixed size
           4, i* 4 nOrdMax   -Highest order variable             `    `
           4, i* 4 nCT       -Number of polynomial coefficients  `    `
          40, i* 4 nOrd(20)  -Order of each variable             `    `
           4, i* 4 iPolyClass-=1:exact, =2:unscaled              `    `
           4, i* 4 iCoeDigits- +***. <-count                     `    `
           4, i* 4 iCoeDeciPl-number of digits after .           `    `
          16, r*16 CoeDiv           -Coe[,] dividing factor      `    `
          16, r*16 CoeMaxScaled     -AbsMax Coe[,]               `    `
           4, i* 4 iPowDigits- +***. <-count                     `    `
           4, i* 4 iPowDeciPl-number of digits after .           `    `
          16, r*16 PowDiv           -Pow[,] dividing factor      `    `
          16, r*16 PowMaxScaled     -AbsMax Pow[,]               `    `
         160, r*16 X[0:nOrdMax,nVT] -Variable values to use    allocated
         200, i* 4 nVnC[nVT   ,nCT] -Values combinations sequence  `
       10000, r*16 Coe[ nCT   ,nCT] -The coefficients solver       `
       10000, r*16 Pow[ nCT   ,nCT]      Coe[,] = inverse(Pow[,])  `
       20496, Total Bytes
           0.000            :write-time-minutes ballpark
!--- Binary file - exported                              2021.04.06.0617.56.140
!---                                        task`s time:           .    .  .
 Arrays deallocated
!--- Done.                                               2021.04.06.0617.56.140
!---                                          task`s time          .    .  . 16

!---                                       Elapsed time:           .    .  . 63
                                                         year ^m ^d ^h^m ^s ^ms

     595238.095,:TEC- measured matrix coefficients per minute


   Link: http://ftp.setterholm.com/ExactInversePolynomials/PolyGen.zip
Analyst: Jeff Setterholm  Lakeville MN 55044 USA   Thursday 2020.04.01

  ********, PolyGen.exe is post-copyright i.e.:FREE ,********

  My legal disclaimer:
  ***********************************************************
  ********,  Individual cognition is always flawed  ,********
  ********,          including yours & mine.        ,********
  ********,                 - So: -                 ,********
  ********,    Use these results at your own risk.  ,********
  ***********************************************************
           Mitigate malfunctions. Nurture synergies.

!--- Ending "PolyGen.exe"