Integer C Puzzles Argue that it is always true or provide a counter example. → (x*2) < 0) • x < 0 • ux >= 0 • x & 7 == 7 » (x<<30) < 0 Assume 32-bit architecture • ux > -1 • x> y » -x < -y • x*x >= 0 Initialization x > 0 && y > 0 x >= 0 » x + y > 0 • » -x <= 0 int x = foo(); • x <= 0 > -x >= 0 int y = bar(); (x|-x)>>31 == -1 unsigned ux = x; • ux >> 3 == ux/8 unsigned uy = y; x >> 3 == x/8 • x & (x-1) != 0

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Integer C Puzzles
Argue that it is always true or
provide a counter example.
> (x*2) < 0)
• x< 0
ux >= 0
x & 7 == 7
» (x<<30) < 0
Assume 32-bit architecture
ux > -1
• x>y
→ -x < -y
• x * x >= 0
Initialization
x > 0 && y > 0
x >= 0
» x + y > 0
→ -x <= 0
int x = foo();
X <= 0
→ -x >= 0
int y = bar();
• (x\-x)>>31 == -1
unsigned ux = X;
ux >> 3 == ux/8
unsigned uy = y;
x >> 3 == x/8
х& (x-1) !3 0
Transcribed Image Text:Integer C Puzzles Argue that it is always true or provide a counter example. > (x*2) < 0) • x< 0 ux >= 0 x & 7 == 7 » (x<<30) < 0 Assume 32-bit architecture ux > -1 • x>y → -x < -y • x * x >= 0 Initialization x > 0 && y > 0 x >= 0 » x + y > 0 → -x <= 0 int x = foo(); X <= 0 → -x >= 0 int y = bar(); • (x\-x)>>31 == -1 unsigned ux = X; ux >> 3 == ux/8 unsigned uy = y; x >> 3 == x/8 х& (x-1) !3 0
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