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is one type and
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is a value of another type, then the expression
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converts the value of expr to type int and assigns it to n. The effect is to remove the real number s fractional part, leaving only its whole number part to be assigned to n. For example, 2.71828 would be converted to 2. Note that this is truncating, not rounding.
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EXAMPLE 3.15 Simple Type Casting This program converts a double to an int:
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main0 1 double v = 1234.56789; int n = int(v); tout << "v = 1 CC v << II, n = ' << n -CC endl; )
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The double value 1234.56789 is converted to the int value 1234.
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When one type is to be converted to a higher type, the type case operator is not needed. We saw this kind of type promotion among integral types in 2. Here s a simple example of
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promotion from char all the way up to double:
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CHAP. 31
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ITERATION AND FLOATING TYPES
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EXAMPLE 3.16 Promotion of Types
This program promotes a char to a short to an int to a float to a double:
main0 char c = 'A'; short k = c; int m = k; long n = m; float x = n; double y = x; ) tout << tout << tout << tout << tout << tout << char " H short int " " long u float "double c k m n x y = = = = = = u ' H ' M 'I << << << << C-C << c k m n x y CC << C-C C-C << << endl; endl; endl; endl; endl; endl;
The integer value of the character 1A I is its ASCII code 65. This integer is stored as a char in c, as a short in k, as an int in m, and as an long in n. This value is then converted to the floating point value 65.0 and stored as a f 1 oat in x and as a double in y. Notice that cou t prints the integer c as a character, and that it prints the real numbers x and y as integers because their fractional parts are 0.
Because it is so easy to convert between integer types and real types in C++, it is easy to forget the distinction between them. In general, integers are used for counting discrete things, while reals are used for measuring on a continuous scale. This means that integer values are exact, while real values are approximate. In the C programming language, the syntax for casting v as type T is (T) V. C++ inherits this form also, so we could have done n = int (v> as n = (int) v.
3.9 ROUNDOFF ERROR
In a computer, even the simplest floating-point values tend to be imprecise. This imprecision is called roundoff error.
EXAMPLE 3.17 Roundoff Error
This program does some simple arithmetic to illustrate roundoff error:
main0 { double x = 1000/3.0; tout << "x = 'I << x << endl; double y = x - 333.0; tout << "y = 'I << y << endl; double z = 3*y - 1.0; tout << "Z = H << z << endl; if (z == 0) tout << "z == O.\n"; else tout << "z does not equal O.\n";
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[CHAP. 3
In exact arithmetic, the variables would have the values x = 333 l/3, y = l/3, and z = 0. But l/3 cannot be represented exactly as a floating-point value. The inaccuracy is reflected in the residue value for z.
This example also illustrates ar n inherent problem with using floating-point types within conditional tests of equality. The test (z == o > will fail even is z is very nearly zero, which is likely to happen when z should algebraically be zero. So it is better to avaoid tests for equality with floating-point types.
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