!--- Opening output file: PCoes.txt                      2021.04.05.0537.31.250
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  #
     1,:1 nVT             -independent variables
      ,:2`order` =power of each variable- evens only
     8,
     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`
=                            PCoesE18.bin
                      order indices ^ are augmented hexadecimals:{ 0,15}->{0:f}
                                       -&- 16->g 17->h 18->i 19->j   20 ->   k
!--- Overview:
            8, :Highest `order`
            1, :# of variables
            8, :Order of X( 1)
            9, :# of  Poly  Coeff`s
           81, :# of matrix Coeff`s
            0.000,  estimated runtime (minutes)
!--- Data entry - done                                   2021.04.05.0537.31.250
!---                                        task`s time:           .    .  .
All arrays needed have been successfully allocated

Subroutine PowersMatrixGen():
!--- MatrixExportPrep():
                  0.655360000000000000000000000000E+05, Division factor
              65535.999999999999999999999999998800,

                  0.100000000000000000000000000000E+01, matrix MaxAbs
                  1.000000000000000000000000000000,

                  0.152587890625000000000000000000E-04, matrix MinAbs
                  0.000015258789062500000000000000,

                           65536.000, :Matrix - biggest integer- decimal
                           65536.000, :storage space needed- i*1,i*2,i*4,i*8
21098765432109876543210987654321, :digits index
  3         2         1
                  7, : digits recommended w/`.`
!--- Powers matrix - done                                2021.04.05.0537.31.265
!---                                        task`s time:           .    .  . 15

Coe[,] = inverse(Pow[,]), inversion progress bar...
                  0.107077346989115085307275876403E-05, :Determinant
                  0.000001070773469891150853072759,
!---                                                     2021.04.05.0537.31.265
Evaluating the inversion accuracy...
   0.136E-29, :AbsMax r*16 inversion error in [Coe*Pow-I]
!--- Powers matrix - inverted                            2021.04.05.0537.31.265
!---                                        task`s time:           .    .  .
!--- MatrixExportPrep():
                  0.630000000000000000000000000000E+03, Division factor
                630.000000000000000000000000000001,

                  0.213333333333333333333333333333E+03, matrix MaxAbs
                213.333333333333333333333333333303,

                  0.142857142857142857142857142857E-01, matrix MinAbs
                  0.014285714285714285714285714286,

                          134400.000, :Matrix - biggest integer- decimal
                          134400.000, :storage space needed- i*1,i*2,i*4,i*8
21098765432109876543210987654321, :digits index
  3         2         1
                  8, : digits recommended w/`.`
!--- Coeffs matrix - done                                2021.04.05.0537.31.281
!---                                        task`s time:           .    .  . 16

 PCoesE18.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[,]               `    `
         144, r*16 X[0:nOrdMax,nVT] -Variable values to use    allocated
          36, i* 4 nVnC[nVT   ,nCT] -Values combinations sequence  `
        1296, r*16 Coe[ nCT   ,nCT] -The coefficients solver       `
        1296, r*16 Pow[ nCT   ,nCT]      Coe[,] = inverse(Pow[,])  `
        2908, Total Bytes
           0.000            :write-time-minutes ballpark
!--- Binary file - exported                              2021.04.05.0537.31.281
!---                                        task`s time:           .    .  .
 Arrays deallocated
!--- Done.                                               2021.04.05.0537.31.281
!---                                          task`s time          .    .  . 15

!---                                       Elapsed time:           .    .  . 46
                                                         year ^m ^d ^h^m ^s ^ms

     105652.174,: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"