August 2014
Intermediate to advanced
469 pages
16h 30m
English
Content preview from GPGPU Programming for Games and Science
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
Start your free trial
70 GPGPU Programming for Games and Science
Exercise 2.13 The pseudocode of Listing 2.25 does not handle an input ra-
tional with zero denominator. Modify the pseudocode to handle such a rational
input.
Conversion from
Rational to binary64. In Equation (2.52), r
smin
=0.
¯
0
51
1 ∗
2
−1022
, r
smax
=0.
¯
1
52
∗ 2
−1022
, r
nmin
=1.
¯
0
52
∗ 2
−1022
, r
nmax
=1.
¯
1
52
∗ 2
1023
,
r
∞
=2
1024
, r
smin
/2=2
−1075
,(r
smax
+ r
nmin
)/2=0.
¯
1
53
∗2
−1022
,and(r
nmax
+
r
∞
)/2=1.
¯
1
53
∗ 2
1023
.
The pseudocode for the conversion is a trivial modification of that for the
conversion to
binary32. Replace binary32 with binary64, uint32 t with uint64 t,
int32 t with int64 t, −150 with −1075, −149 with −1074, −126 with −