March 2000
Intermediate to advanced
576 pages
18h 13m
English
Content preview from Delphi in a Nutshell
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Name
Double Type
Syntax
type Double;
Description
The Double type is an IEEE standard floating-point
type that uses 8 bytes to store a sign bit, an 11-bit exponent, and a
52-bit mantissa. The mantissa is usually normalized, that is, it has
an implicit 1 bit before the most significant bit. If the exponent is
zero, however, the mantissa is denormalized—without the
implicit 1 bit. Thus, the numerical value of +0.0 is represented by
all zero bits. An exponent of all 1 bits represents infinity
(mantissa is zero) or not-a-number (mantissa is not zero).
The limits of the Double type are approximately
2.23 × 10-308 to 1.79 × 10308,
with about 15 decimal digits of precision. Table 5-1 shows the detailed format of finite and
special Double values.
Table 5-1. Format of Double Floating-Point Numbers
|
Numeric class |
Sign |
Exponent Bits |
Mantissa Bits |
|
Positive | |||
|
Normalized |
0 |
0...1 to 1...10 |
0...0 to 1...1 |
|
Denormalized |
0 |
0...0 |
0...1 to 1...1 |
|
Zero |
0 |
0...0 |
0...0 |
|
Infinity |
0 |
1...1 |
0...0 |
|
Signaling NaN |
0 |
1...1 |
0...1 to 01...1 |
|
Quiet NaN |
0 |
1...1 |
1...0 to 1...1 |
|
Negative | |||
|
Normalized |
1 |
0...1 to 1...10 |
0...0 to 1...1 |
|
Denormalized |
1 |
0...0 |
0...1 to 1...1 |
|
Zero |
1 |
0...0 |
0...0 |
|
Infinity |
1 |
1...1 |
0...0 |
|
Signaling NaN |
1 |
1...1 |
0...1 to 01...1 |
|
Quiet NaN |
1 |
1...1 |
1...0 to 1...1 |
Tips and Tricks
Doubleis a popular type that provides a good balance between performance and precision.The
Doubletype corresponds to thedoubletype in Java, C, and C++.Refer to the Intel architecture ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.