March 2000
Intermediate to advanced
576 pages
18h 13m
English
Content preview from Delphi in a Nutshell
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Name
Single Type
Syntax
type Single;
Description
The Single type is an IEEE standard floating-point
type that uses 4 bytes to store a sign bit, an 8-bit exponent, and a
23-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 Single are roughly 1.18 ×
10-38 to 3.40 × 1038, with about
seven decimal digits of precision. Table 5-3 shows
the detailed format of finite and special Single
values.
Table 5-3. Format of Single Floating-Point Numbers
|
Numeric class |
Sign |
Exponent |
Mantissa |
|
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
The
Singletype corresponds to thefloattype in Java, C, and C++.Singleis usually used when memory is at a premium. It does not usually offer a performance advantage overDouble, and it suffers from a limited ...
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