#Firth(1th)

A postfix calculator with fractions, written in ANSI C.

#Build

cc 1th.c -std=c89 -Os -DNDEBUG -g0 -s -Wall -o 1th

#Syntax

The supported operations are as follow:

#Print

• . Print fraction
• std Standard(default)
• mix Mixed
• dec Decimal
• hex Hexadecimal
• bin Binary

#Stack

• clr Discards stack
• pop Discards the top stack item
• swp Reverses the top two stack items
• dup Duplicates the top stack item
• ovr Copies second item to top
• rot Rotates third item to top

#Math

• add, or +
• sub, or -
• mul, or *
• div, or /
• mod, or %

#Bitwise

• and, or &
• or, or |
• xor, or ^
• rol, or <<
• ror, or >>

#Special

• inv Invert numerator and denominator
• vid Convert fraction to two whole numbers

#Example

The following example, will print the result 3&1/6.

clr 11 4 div 5 12 div add _

To get the floor of a fraction.

clr 17 4 div dup 1 mod sub .

To round a the fraction -12/8.

clr 0 12 sub 8 div dup dup 1 mod sub swp dup vid swp pop swp vid mod 2 mul swp div dup 1 mod sub add .

#Notes

• The Numerator is the top of part of a fraction.
• The Denominator is the bottom of part of a fraction.
• A Proper Fraction has a numerator that is smaller than its denominator and represents a quantity less than the whole.
• An Improper Fraction has a numerator larger than its denominator and represents a quantity greater than the whole.
• Mixed Numbers are whole numbers and portions less than 1 added together, like 2 3/4.
• Like Fractions are fractions with the same denominators.
• Unlike Fractions are fractions with different denominators.
• A Reciprocal is the inverted value of a fraction, like 12/34 is the reciprocal of 34/12.