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

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

lab46:~/src/discrete/mtf1$ ./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

lab46:~/src/discrete/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

lab46:~/src/discrete/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

lab46:~/src/discrete/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

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

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

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

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.