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ECE 267 - Computer Organization and Programming
Homework #5
(Attach a typed version of your assembly language code for each part to this cover sheet; you need not run the code to
see if it actually works but this is recommended in order to get the bugs out.)
Write an IA-32 assembly language procedure "Find_Kth_Root" that performs m
iterations of the following recursion1 to estimate k
mxy ≅ :
+−= −
−
−1
1
1)(
)1(
1
k
n
nn y
x
yk
k
y
Pass parameters x, k and m as parameters when invoking the procedure, and return ym
in register EAX in floating-point format. Initialize y0 = x.
Here is the prototype model that should be used:
Find_Kth_Root PROTO,
X:REAL4,
K:DWORD,
M:DWORD
Be sure to save and then restore the contents of all registers that are used for temporary
storage. A description of the floating-point coprocessor is found in our textbook's Ch.17
on the CDROM; another excellent source is Chapter 14 of the on-line text "Art of
Assembly Language" by Randall Hyde:
http://webster.cs.ucr.edu/AoA/DOS/AoADosIndex.html
1 This is the Newton-Raphson method of recursively solving for the k-th root of a number
