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B.1.30 Newton-Raphson Approximation for SQRT(x)
The approximation of sqrt(x) may be performed by using the Newton-Raphson iteration to first find 1.0/
sqrt(x). The sqrt(x) then can be approximated by x * (1.0/sqrt(x)).
Newton-Raphson Approximation
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B.1.31 Unsigned Integer Divide
The unsigned integer divide operation divides two 32 bit unsigned integers. The following code divides d0/
d2 with the resulting quotient in d0 and the remainder in d1.
MOTOROLA
d5,d4
d4,d4,d2
#.5,d7.s
d5,d2,d2
#3.0,d3.s ;x * y * y, get 3.0
d4,d7,d2
fsub.s d2,d3
d2,d3,d4
d6.s,d3.s ;y/2 * (3-x * y * y)
d4,d4,d2
d5,d2,d2
d4,d7,d2
fsub.s d2,d3
d2,d3,d4
of SQRT(x)
d5,d4
d4,d4,d2
#.5,d7.s
d5,d2,d2
#3.0,d3.s ;x * y * y, get 3.0
d4,d7,d2
fsub.s d2,d3
d2,d3,d4
d6.s,d3.s ;y/2 * (3-x * y * y)
d4,d4,d2
d5,d2,d2
d4,d7,d2
fsub.s d2,d3
d2,d3,d4
d5,d4,d4
DSP96002 USER'S MANUAL
;y approx 1/sqrt(x)
;y * y, get .5
d3.s,d6.s ;y/2, 3-x * y * y 1
;y * y
;x * y * y
d3.s,d6.s ;y/2, 3-x * y * y 1
;y/2 * (3-x * y * y)
Totals:
;y approx 1/sqrt(x)
;y * y, get .5
d3.s,d6.s ;y/2, 3-x * y * y 1
;y * y
;x * y * y
d3.s,d6.s ;y/2, 3-x * y * y 1
;y/2 * (3-x * y * y)
;x * (1/sqrt(x))
Totals:
1
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
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11
11
Program
ICycles
Words
1
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
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12
12
B-55
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