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Named EXCEL lambdas for one and two dimensional linear interpolation
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/**Basic 1D linear generator from 2 pts*/ | |
LEXT = LAMBDA(X,XS,YS, | |
LET(X_1,INDEX(XS,1), | |
X_2, INDEX(XS,2), | |
Y_1, INDEX(YS,1), | |
Y_2, INDEX(YS,2), | |
Y_1+(X-X_1)*(Y_2-Y_1)/(X_2-X_1) | |
) | |
); | |
/**1D linear interpolation, set SORTED=0 for unsorted data - presorting data recommended*/ | |
INTERP1 = LAMBDA(X,XARRAY,YARRAY,[SORTED], | |
IF(OR(ISOMITTED(SORTED),SORTED=1,SORTED=0), | |
LET( | |
SORT_METHOD, IF(OR(ISOMITTED(SORTED),SORTED=1),2,1), | |
X_1, XLOOKUP(X,XARRAY,XARRAY,,-1,SORT_METHOD), | |
X_2, XLOOKUP(X,XARRAY,XARRAY,,1,SORT_METHOD), | |
Y_1, XLOOKUP(X,XARRAY,YARRAY,,-1,SORT_METHOD), | |
Y_2, XLOOKUP(X,XARRAY,YARRAY,,1,SORT_METHOD), | |
IF(X=X_1,Y_1,Y_1+(X-X_1)*(Y_2-Y_1)/(X_2-X_1)) | |
)) | |
); | |
/**2D linear interpolation, set SORTED=0 for unsorted data - presorting data recommended*/ | |
INTERP2 = LAMBDA(X,Y,XARRAY,YARRAY,ZARRAY,[SORTED], | |
IF(OR(ISOMITTED(SORTED),SORTED=1,SORTED=0), | |
LET( | |
SORT_METHOD, IF(OR(ISOMITTED(SORTED),SORTED=1),2,1), | |
X_1, XLOOKUP(X,XARRAY,XARRAY,,-1,SORT_METHOD), | |
X_2, XLOOKUP(X,XARRAY,XARRAY,,1,SORT_METHOD), | |
Y_1, XLOOKUP(Y,YARRAY,YARRAY,,-1,SORT_METHOD), | |
Y_2, XLOOKUP(Y,YARRAY,YARRAY,,1,SORT_METHOD), | |
Z_11, XLOOKUP(X_1,XARRAY,XLOOKUP(Y_1,YARRAY,ZARRAY,,0,SORT_METHOD),,0,SORT_METHOD), | |
Z_12, XLOOKUP(X_1,XARRAY,XLOOKUP(Y_2,YARRAY,ZARRAY,,0,SORT_METHOD),,0,SORT_METHOD), | |
Z_21, XLOOKUP(X_2,XARRAY,XLOOKUP(Y_1,YARRAY,ZARRAY,,0,SORT_METHOD),,0,SORT_METHOD), | |
Z_22, XLOOKUP(X_2,XARRAY,XLOOKUP(Y_2,YARRAY,ZARRAY,,0,SORT_METHOD),,0,SORT_METHOD), | |
Z_1, IF(Y=Y_1,Z_12,Z_11+(Y-Y_1)*(Z_12-Z_11)/(Y_2-Y_1)), | |
Z_2, IF(Y=Y_1,Z_21,Z_21+(Y-Y_1)*(Z_22-Z_21)/(Y_2-Y_1)), | |
IF(X=X_1,Z_1,Z_1+(X-X_1)*(Z_2-Z_1)/(X_2-X_1)) | |
)) | |
); | |
/** 2D wrapper for XLOOKUP - Maintains access to most of xlookup's optional inputs*/ | |
XXXLOOKUP = LAMBDA(xi,yi,xs,ys,zs,[match_mode_x],[match_mode_y],[search_mode], | |
LET( | |
step1, XLOOKUP(xi,xs,zs,,match_mode_x,search_mode), | |
XLOOKUP(yi,ys,step1,,match_mode_y,search_mode) | |
) | |
); |
Depreciated... Functions now included in general toolbox
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Revised for new docstring format and improved documentation.