Java Reference
In-Depth Information
1987
, the month is
9
, and the day is
18
. You may use the
GregorianCalendar
class
discussed in Programming Exercise 8.5 to simplify coding.)
*10.15
(
Geometry: finding the bounding rectangle
) A bounding rectangle is the minimum
rectangle that encloses a set of points in a two-dimensional plane, as shown in
Figure 10.18d. Write a method that returns a bounding rectangle for a set of points
in a two-dimensional plane, as follows:
public static
MyRectangle2D getRectangle(
double
[][] points)
The
Rectangle2D
class is defined in Exercise 10.13. Write a test program that
prompts the user to enter five points and displays the bounding rectangle's center,
width, and height. Here is a sample run:
Enter five points:
The bounding rectangle's center (5.0, 6.25), width 8.0, height 7.5
1.0 2.5 3 4 5 6 7 8 9 10
Sections 10.12-10.14
*10.16
(
Divisible by
2
or
3
) Find the first ten numbers with
50
decimal digits that are
divisible by
2
or
3
.
*10.17
(
Square numbers
) Find the first ten square numbers that are greater than
Long.MAX_VALUE
. A square number is a number in the form of
n
2
.
*10.18
(
Large prime numbers
) Write a program that finds five prime numbers larger than
Long.MAX_VALUE
.
*10.19
(
Mersenne prime
) A prime number is called a
Mersenne prime
if it can be written
in the form for some positive integer
p
. Write a program that finds all
Mersenne primes with and displays the output as shown below. (
Hint
:
You have to use
BigInteger
to store the number, because it is too big to be
stored in
long
. Your program may take several hours to run.)
2
p
-
1
p
…
100
p 2^p - 1
2 3
3 7
5 31
...
*10.20
(
Approximate e
) Programming Exercise 4.26 approximates
e
using the following
series:
1
1
1
2
1
3
1
4
1
i
e
=
1
+
!
+
!
+
!
+
!
+
c
+
!
In order to get better precision, use
BigDecimal
with
25
digits of precision in the
computation. Write a program that displays the
e
value for
i 100
,
200
, . . . , and
1000
.
=
10.21
(
Divisible by
5
or
6
) Find the first ten numbers (greater than
Long.MAX_VALUE
)
that are divisible by
5
or
6
.
