5ac61ba3-a061-4290-8c6d-bde42e6b7fdd 15 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Create the bi-linear matrix ... interpolate

Times Table n T i 1 n range j 1 n range M i j el i j * : for for M 21 line :

M 16 T : X 0.1 M 1 col (* : Y 0.1 M 1 row (* : N x/y X stack Y M stack augment : 41 line

In real work, you will have to dimension the X,Y directions wrt the generatrix of the data ... or as per your preference, in ascending order !

in ascending order ... equally spaced

The function bilinear(x,y,M) is universal. It demonstrates the construction and use. This demo generates itself. If mother matirix 'M'... is from source => create as inspired.

The universal bi-linear, spline2D/Smath CreateMesh x y M bilinear A M 112 M cols submatrix : B M 2 M rows 11 submatrix : C M 2 M rows 2 M cols submatrix : j 1 A length 2 range CC j el B C 1 C rows j j submatrix y linterp : for A transpose CC x linterp 51 line :

... Sanity check ...
interpolation is 0ver
   (row_1,col_1,New) 0.2 0.3 N bilinear 0.6 0.2 N bilinear 0.25 0.25 N bilinear 31 mat 612 6.25 31 mat

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N 11 mat x/y 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 0.1 12345678910111213141516 0.2 2468101214161820222426283032 0.3 36912151821242730333639424548 0.4 481216202428323640444852566064 0.5 5101520253035404550556065707580 0.6 6121824303642485460667278849096 0.7 714212835424956637077849198105112 0.8 81624324048566472808896104112120128 0.9 9182736455463728190991081171261351441102030405060708090100110120130140150160 1.1 112233445566778899110121132143154165176 1.2 1224364860728496108120132144156168180192 1.3 13263952657891104117130143156169182195208 1.4 14284256708498112126140154168182196210224 1.5 153045607590105120135150165180195210225240 1.6 1632486480961121281441601761922082242402561717 mat 11 mat

x y b x y N bilinear :