The y-value at which to interpolate
y
The x-value at which to interpolate
x
3x3 matrix of the table z-values
zmat
Three-element list of the table y-coordinates {y1,y2,y3}
yl
Three-element list of the table x-coordinates {x1,x2,x3}
xl
The z-values are passed as a 3x3 matrix only because that is a convenient way for the user to enter
the z-values, directly as they appear in a printed table.
The first two when() functions scale x and y to u and v as shown in [7]. The last line of the function
calculates and returns the interpolation result. The augment(augment(...))
T
convertst the 3x3 z-matrix
to a single-column vector, to perform the matrix multiplication in [10]. The coefficient solution vector is
converted to a list, so that the built-in list multiplication can be used to find each term of the sum in [11].
As an example, suppose that we want to interpolate with this table at x = 0.27 and y = 0.55:
0.4350
0.3335
0.2474
0.3
0.3894
0.2860
0.1987
0.2
0.3616
0.2571
0.1692
0.1
0.6
0.5
0.4
So we have
xl = {.1, .2, .3}
yl = {.4, .5, .6}
zmat
=
.1692 .2571 .3616
.1987 .2860 .3894
.2474 .3335 .4350
x = 0.27
y = 0.55
and the call to do the interpolation looks like
intrpz9({.
1
,.2,.3},{.4,.5,.6},[.
1
692,.257
1
,.36
1
6;.
1
987,.286,.3894;.2474,.3335,
.435],0.27,0.55)
which returns 0.3664.
This program, intrp9ui(), provides a user interface for intrpz9().
intrp9ui()
Prgm
©UI for intrpz9()
©calls math\intrpz9, util\rq2v, util\rq3v
©calls util\copyto_h by Samuel Stearly
©3
1
mar0
1
/dburkett@infinet.com
local x
1
23,y
1
23,zz
1
,zz2,zz3,xy,res,xl,yl,zmat,x,y,z,inhome,errdisp
©Error message display program
define errdisp(msg)=Prgm
dialog
6 - 51
Summary of Contents for TI-92+
Page 52: ...Component side of PCB GraphLink I O connector detail 1 41...
Page 53: ...LCD connector detail PCB switch side 1 42...
Page 54: ...Key pad sheet contact side Key pad sheet key side 1 43...
Page 55: ...Key cap detail 1 44...
Page 57: ...Component side of PCB with shield removed A detail view of the intergrated circuits 1 46...
Page 410: ...void extensionroutine2 void Credit to Bhuvanesh Bhatt 10 4...
