| Advanced Bash-Scripting Guide: An in-depth exploration of the art of shell scripting | ||
|---|---|---|
| Prev | Chapter 12. External Filters, Programs and Commands | Next |
Decompose an integer into prime factors.
bash$ factor 27417 27417: 3 13 19 37 |
These are flexible, arbitrary precision calculation utilities.
bc has a syntax vaguely resembling C.
dc uses RPN ("Reverse Polish Notation").
Of the two, bc seems more useful in scripting. It is a fairly well-behaved UNIX utility, and may therefore be used in a pipe.
Bash can't handle floating point calculations, and it lacks operators for certain important mathematical functions. Fortunately, bc comes to the rescue.
Here is a simple template for using bc to calculate a script variable. This uses command substitution.
variable=$(echo "OPTIONS; OPERATIONS" | bc) |
Example 12-30. Monthly Payment on a Mortgage
1 #!/bin/bash 2 # monthlypmt.sh: Calculates monthly payment on a mortgage. 3 4 5 # This is a modification of code in the "mcalc" (mortgage calculator) package, 6 # by Jeff Schmidt and Mendel Cooper (yours truly, the author of this document). 7 # http://www.ibiblio.org/pub/Linux/apps/financial/mcalc-1.6.tar.gz [15k] 8 9 echo 10 echo "Given the principal, interest rate, and term of a mortgage," 11 echo "calculate the monthly payment." 12 13 bottom=1.0 14 15 echo 16 echo -n "Enter principal (no commas) " 17 read principal 18 echo -n "Enter interest rate (percent) " # If 12%, enter "12", not ".12". 19 read interest_r 20 echo -n "Enter term (months) " 21 read term 22 23 24 interest_r=$(echo "scale=9; $interest_r/100.0" | bc) # Convert to decimal. 25 # "scale" determines how many decimal places. 26 27 28 interest_rate=$(echo "scale=9; $interest_r/12 + 1.0" | bc) 29 30 31 top=$(echo "scale=9; $principal*$interest_rate^$term" | bc) 32 33 echo; echo "Please be patient. This may take a while." 34 35 let "months = $term - 1" 36 for ((x=$months; x > 0; x--)) 37 do 38 bot=$(echo "scale=9; $interest_rate^$x" | bc) 39 bottom=$(echo "scale=9; $bottom+$bot" | bc) 40 # bottom = $(($bottom + $bot")) 41 done 42 43 # let "payment = $top/$bottom" 44 payment=$(echo "scale=2; $top/$bottom" | bc) 45 # Use two decimal places for dollars and cents. 46 47 echo 48 echo "monthly payment = \$$payment" # Echo a dollar sign in front of amount. 49 echo 50 51 52 exit 0 53 54 # Exercises: 55 # 1) Filter input to permit commas in principal amount. 56 # 2) Filter input to permit interest to be entered as percent or decimal. 57 # 3) If you are really ambitious, 58 # expand this script to print complete amortization tables. |
Example 12-31. Base Conversion
1 :
2 ##########################################################################
3 # Shellscript: base.sh - print number to different bases (Bourne Shell)
4 # Author : Heiner Steven (heiner.steven@odn.de)
5 # Date : 07-03-95
6 # Category : Desktop
7 # $Id: base.sh,v 1.2 2000/02/06 19:55:35 heiner Exp $
8 ##########################################################################
9 # Description
10 #
11 # Changes
12 # 21-03-95 stv fixed error occuring with 0xb as input (0.2)
13 ##########################################################################
14
15 # ==> Used in this document with the script author's permission.
16 # ==> Comments added by document author.
17
18 NOARGS=65
19 PN=`basename "$0"` # Program name
20 VER=`echo '$Revision: 1.2 $' | cut -d' ' -f2` # ==> VER=1.2
21
22 Usage () {
23 echo "$PN - print number to different bases, $VER (stv '95)
24 usage: $PN [number ...]
25
26 If no number is given, the numbers are read from standard input.
27 A number may be
28 binary (base 2) starting with 0b (i.e. 0b1100)
29 octal (base 8) starting with 0 (i.e. 014)
30 hexadecimal (base 16) starting with 0x (i.e. 0xc)
31 decimal otherwise (i.e. 12)" >&2
32 exit $NOARGS
33 } # ==> Function to print usage message.
34
35 Msg () {
36 for i # ==> in [list] missing.
37 do echo "$PN: $i" >&2
38 done
39 }
40
41 Fatal () { Msg "$@"; exit 66; }
42
43 PrintBases () {
44 # Determine base of the number
45 for i # ==> in [list] missing...
46 do # ==> so operates on command line arg(s).
47 case "$i" in
48 0b*) ibase=2;; # binary
49 0x*|[a-f]*|[A-F]*) ibase=16;; # hexadecimal
50 0*) ibase=8;; # octal
51 [1-9]*) ibase=10;; # decimal
52 *)
53 Msg "illegal number $i - ignored"
54 continue;;
55 esac
56
57 # Remove prefix, convert hex digits to uppercase (bc needs this)
58 number=`echo "$i" | sed -e 's:^0[bBxX]::' | tr '[a-f]' '[A-F]'`
59 # ==> Uses ":" as sed separator, rather than "/".
60
61 # Convert number to decimal
62 dec=`echo "ibase=$ibase; $number" | bc` # ==> 'bc' is calculator utility.
63 case "$dec" in
64 [0-9]*) ;; # number ok
65 *) continue;; # error: ignore
66 esac
67
68 # Print all conversions in one line.
69 # ==> 'here document' feeds command list to 'bc'.
70 echo `bc <<!
71 obase=16; "hex="; $dec
72 obase=10; "dec="; $dec
73 obase=8; "oct="; $dec
74 obase=2; "bin="; $dec
75 !
76 ` | sed -e 's: : :g'
77
78 done
79 }
80
81 while [ $# -gt 0 ]
82 do
83 case "$1" in
84 --) shift; break;;
85 -h) Usage;; # ==> Help message.
86 -*) Usage;;
87 *) break;; # first number
88 esac # ==> More error checking for illegal input would be useful.
89 shift
90 done
91
92 if [ $# -gt 0 ]
93 then
94 PrintBases "$@"
95 else # read from stdin
96 while read line
97 do
98 PrintBases $line
99 done
100 fi |
An alternate method of invoking bc involves using a here document embedded within a command substitution block. This is especially appropriate when a script needs to pass a list of options and commands to bc.
1 variable=`bc << LIMIT_STRING 2 options 3 statements 4 operations 5 LIMIT_STRING 6 ` 7 8 ...or... 9 10 11 variable=$(bc << LIMIT_STRING 12 options 13 statements 14 operations 15 LIMIT_STRING 16 ) |
Example 12-32. Another way to invoke bc
1 #!/bin/bash
2 # Invoking 'bc' using command substitution
3 # in combination with a 'here document'.
4
5
6 var1=`bc << EOF
7 18.33 * 19.78
8 EOF
9 `
10 echo $var1 # 362.56
11
12
13 # $( ... ) notation also works.
14 v1=23.53
15 v2=17.881
16 v3=83.501
17 v4=171.63
18
19 var2=$(bc << EOF
20 scale = 4
21 a = ( $v1 + $v2 )
22 b = ( $v3 * $v4 )
23 a * b + 15.35
24 EOF
25 )
26 echo $var2 # 593487.8452
27
28
29 var3=$(bc -l << EOF
30 scale = 9
31 s ( 1.7 )
32 EOF
33 )
34 # Returns the sine of 1.7 radians.
35 # The "-l" option calls the 'bc' math library.
36 echo $var3 # .991664810
37
38
39 # Now, try it in a function...
40 hyp= # Declare global variable.
41 hypotenuse () # Calculate hypotenuse of a right triangle.
42 {
43 hyp=$(bc -l << EOF
44 scale = 9
45 sqrt ( $1 * $1 + $2 * $2 )
46 EOF
47 )
48 # Unfortunately, can't return floating point values from a Bash function.
49 }
50
51 hypotenuse 3.68 7.31
52 echo "hypotenuse = $hyp" # 8.184039344
53
54
55 exit 0 |
Yet another way of doing floating point math in a script is using awk's built-in math functions in a shell wrapper.
Example 12-33. Calculating the hypotenuse of a triangle
1 #!/bin/bash
2 # hypotenuse.sh: Returns the "hypotenuse" of a right triangle.
3 # ( square root of sum of squares of the "legs")
4
5 ARGS=2 # Script needs sides of triangle passed.
6 E_BADARGS=65 # Wrong number of arguments.
7
8 if [ $# -ne "$ARGS" ] # Test number of arguments to script.
9 then
10 echo "Usage: `basename $0` side_1 side_2"
11 exit $E_BADARGS
12 fi
13
14
15 AWKSCRIPT=' { printf( "%3.7f\n", sqrt($1*$1 + $2*$2) ) } '
16 # command(s) / parameters passed to awk
17
18
19 echo -n "Hypotenuse of $1 and $2 = "
20 echo $1 $2 | awk "$AWKSCRIPT"
21
22 exit 0 |