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<WRAP><color red><fs 200%>Corning Community College</fs></color></WRAP>
<WRAP><fs 150%>CSCS2330 Discrete Structures</fs></WRAP>
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======Project: MATH TABLE FUN - MULTIBASE (mtf1)======

=====Errata=====
Any changes that have been made.

  * Revision #: <description> (DATESTAMP)

=====Objective=====
To continue exploring your number base/number representation skills in implementing an multibase addition, subtraction, multiplication, division, or remainder table generating program.

=====Program=====
Write a program that generates a table:
  * argv[1] is the base specifier (2-36, default is 10)
  * argv[2] is an optional upper bound (default is base-1)
  * argv[3] is an optional lower bound (default is 1)
  * using **getenv(3)**, check for a variable named **MTF1_OPER**
    * if it exists, check it for the mathematical operation to perform, one of '+', '-', '*', '/', or '%'
    * if it doesn't exist, default to multiplication
    * if it exists and doesn't contain a valid symbol, display an error and exit
  * for some operations, the result violates the properties of mathematics. In the case of such invalid results, display "NA" instead of a number (within the same fixed/formatted spacing)
  * for the non-associative operations, the variable driving the individual rows should be the one operated on (ie result = row - col)
=====Program Output=====

====Default, no options or settings alterations====
<cli>
lab46:~/src/discrete/mtf1$ ./mtf1
      1  2  3  4  5  6  7  8  9 
  [*]--------------------------- 
 1 |  1  2  3  4  5  6  7  8  9
 2 |  2  4  6  8 10 12 14 16 18
 3 |  3  6  9 12 15 18 21 24 27
 4 |  4  8 12 16 20 24 28 32 36
 5 |  5 10 15 20 25 30 35 40 45
 6 |  6 12 18 24 30 36 42 48 54
 7 |  7 14 21 28 35 42 49 56 63
 8 |  8 16 24 32 40 48 56 64 72
 9 |  9 18 27 36 45 54 63 72 81
</cli>

====Altering the operation to perform (addition)====
<cli>
lab46:~/src/discrete/mtf1$ MTF1_OPER="+" ./mtf1
      1  2  3  4  5  6  7  8  9 
  [+]--------------------------- 
 1 |  2  3  4  5  6  7  8  9 10
 2 |  3  4  5  6  7  8  9 10 11
 3 |  4  5  6  7  8  9 10 11 12
 4 |  5  6  7  8  9 10 11 12 13
 5 |  6  7  8  9 10 11 12 13 14
 6 |  7  8  9 10 11 12 13 14 15
 7 |  8  9 10 11 12 13 14 15 16
 8 |  9 10 11 12 13 14 15 16 17
 9 | 10 11 12 13 14 15 16 17 18
</cli>

====Subtraction====
<cli>
lab46:~/src/discrete/mtf1$ MTF1_OPER="-" ./mtf1 7
      1  2  3  4  5  6 
  [-]------------------ 
 1 |  0 -1 -2 -3 -4 -5
 2 |  1  0 -1 -2 -3 -4
 3 |  2  1  0 -1 -2 -3
 4 |  3  2  1  0 -1 -2
 5 |  4  3  2  1  0 -1
 6 |  5  4  3  2  1  0
</cli>

====Division====
<cli>
lab46:~/src/discrete/mtf1$ MTF1_OPER="/" ./mtf1 16
      1  2  3  4  5  6  7  8  9  A  B  C  D  E  F 
  [/]--------------------------------------------- 
 1 |  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 2 |  2  1  0  0  0  0  0  0  0  0  0  0  0  0  0
 3 |  3  1  1  0  0  0  0  0  0  0  0  0  0  0  0
 4 |  4  2  1  1  0  0  0  0  0  0  0  0  0  0  0
 5 |  5  2  1  1  1  0  0  0  0  0  0  0  0  0  0
 6 |  6  3  2  1  1  1  0  0  0  0  0  0  0  0  0
 7 |  7  3  2  1  1  1  1  0  0  0  0  0  0  0  0
 8 |  8  4  2  2  1  1  1  1  0  0  0  0  0  0  0
 9 |  9  4  3  2  1  1  1  1  1  0  0  0  0  0  0
 A |  A  5  3  2  2  1  1  1  1  1  0  0  0  0  0
 B |  B  5  3  2  2  1  1  1  1  1  1  0  0  0  0
 C |  C  6  4  3  2  2  1  1  1  1  1  1  0  0  0
 D |  D  6  4  3  2  2  1  1  1  1  1  1  1  0  0
 E |  E  7  4  3  2  2  2  1  1  1  1  1  1  1  0
 F |  F  7  5  3  3  2  2  1  1  1  1  1  1  1  1
</cli>

====Remainder====
<cli>
lab46:~/src/discrete/mtf1$ MTF1_OPER="%" ./mtf1 9
      1  2  3  4  5  6  7  8 
  [%]------------------------ 
 1 |  0  1  1  1  1  1  1  1
 2 |  0  0  2  2  2  2  2  2
 3 |  0  1  0  3  3  3  3  3
 4 |  0  0  1  0  4  4  4  4
 5 |  0  1  2  1  0  5  5  5
 6 |  0  0  0  2  1  0  6  6
 7 |  0  1  1  3  2  1  0  7
 8 |  0  0  2  0  3  2  1  0
</cli>
====Altering the base====
<cli>
lab46:~/src/discrete/mtf1$ ./mtf1 8
      1  2  3  4  5  6  7 
  [*]--------------------- 
 1 |  1  2  3  4  5  6  7
 2 |  2  4  6 10 12 14 16
 3 |  3  6 11 14 17 22 25
 4 |  4 10 14 20 24 30 34
 5 |  5 12 17 24 31 36 43
 6 |  6 14 22 30 36 44 52
 7 |  7 16 25 34 43 52 61
</cli>

====Altering the base, extending the upper bound====
<cli>
lab46:~/src/discrete/mtf1$ ./mtf1 12 13
        1   2   3   4   5   6   7   8   9   A   B  10  11 
   [*]---------------------------------------------------- 
  1 |   1   2   3   4   5   6   7   8   9   A   B  10  11
  2 |   2   4   6   8   A  10  12  14  16  18  1A  20  22
  3 |   3   6   9  10  13  16  19  20  23  26  29  30  33
  4 |   4   8  10  14  18  20  24  28  30  34  38  40  44
  5 |   5   A  13  18  21  26  2B  34  39  42  47  50  55
  6 |   6  10  16  20  26  30  36  40  46  50  56  60  66
  7 |   7  12  19  24  2B  36  41  48  53  5A  65  70  77
  8 |   8  14  20  28  34  40  48  54  60  68  74  80  88
  9 |   9  16  23  30  39  46  53  60  69  76  83  90  99
  A |   A  18  26  34  42  50  5A  68  76  84  92  A0  AA
  B |   B  1A  29  38  47  56  65  74  83  92  A1  B0  BB
 10 |  10  20  30  40  50  60  70  80  90  A0  B0 100 110
 11 |  11  22  33  44  55  66  77  88  99  AA  BB 110 121
</cli>

====All of that, plus lower bound====
<cli>
lab46:~/src/discrete/mtf1$ ./mtf1 13 8 2
      2  3  4  5  6  7  8 
  [*]--------------------- 
 2 |  4  6  8  A  C 11 13
 3 |  6  9  C 12 15 18 1B
 4 |  8  C 13 17 1B 22 26
 5 |  A 12 17 1C 24 29 31
 6 |  C 15 1B 24 2A 33 39
 7 | 11 18 22 29 33 3A 44
 8 | 13 1B 26 31 39 44 4C
</cli>

Spacing, formatting, and presentation are centrally important. I want those headers and headings, and dividing lines. Your output should match my output (all to STDOUT).

An issue you might run into is how much space will you have to allocate (you want it universal for the display of the entire table). For that, I say determine the length of the maximum value being output (ie the bottom-most right value). That value’s length should then influence all the other output in the table.

=====Submission=====
To successfully complete this project, the following criteria must be met:

  * Code must compile cleanly (no warnings or errors)
    * Use the **-Wall** and **--std=gnu99** flags when compiling.
  * Code must be nicely and consistently indented (you may use the **indent** tool)
  * Code must utilize the algorithm/approach presented above
  * Output **must** match the specifications presented above (when given the same inputs)
  * Code must be commented
    * be sure your comments reflect the **how** and **why** of what you are doing, not merely the **what**.
  * Track/version the source code in a repository
  * Submit a copy of your source code to me using the **submit** tool.

To submit this program to me using the **submit** tool, run the following command at your lab46 prompt:

<cli>
$ submit discrete mtf1 mtf1.c
Submitting discrete project "mtf1":
    -> mtf1.c(OK)

SUCCESSFULLY SUBMITTED
</cli>

You should get some sort of confirmation indicating successful submission if all went according to plan. If not, check for typos and or locational mismatches.