Draw and label an ASCII hexagonal grid

Question

In my previous challenge, I drew the first diagram mostly by hand (with the help of vim's visual block mode). But surely there must be a better way...

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Given an input of two dimensions, a width and a height, output a hexagonal grid with those dimensions in ASCII art.

Here's the diagram referenced in the intro (with minor edits), which should be your output for the input width=7, height=3:

         _____         _____         _____
        /     \       /     \       /     \
  _____/ -2,-1 \_____/  0,-1 \_____/  2,-1 \_____
 /     \       /     \       /     \       /     \
/ -3,-1 \_____/ -1,-1 \_____/  1,-1 \_____/  3,-1 \
\       /     \       /     \       /     \       /
 \_____/ -2,0  \_____/  0,0  \_____/  2,0  \_____/
 /     \       /     \       /     \       /     \
/ -3,0  \_____/ -1,0  \_____/  1,0  \_____/  3,0  \
\       /     \       /     \       /     \       /
 \_____/ -2,1  \_____/  0,1  \_____/  2,1  \_____/
 /     \       /     \       /     \       /     \
/ -3,1  \_____/ -1,1  \_____/  1,1  \_____/  3,1  \
\       /     \       /     \       /     \       /
 \_____/       \_____/       \_____/       \_____/

Notice several things:

• The width and height are essentially equivalent to how many hexagons there are for a given y and x coordinate respectively. These will always be odd numbers.

• Each hexagon is represented by the ASCII art

    _____
   /     \
  /       \
  \       /
   \_____/
  

  but borders are "shared" between neighboring hexagons.

• The comma in the coordinates is always exactly two characters below the center of the top edge. The x-coordinate is then positioned directly before the comma, and the y-coordinate directly after.

  You may assue that the coordinates will never be too large such that they would overlap the hexagon's borders.

Input may be taken as a whitespace-/comma-separated string, an array of integers, or two function/commandline arguments. Output must be a single string (to STDOUT, as a return value, etc.).

Since this is code-golf, the shortest code in bytes will win.

The grid above can be used as a test case. The maximum-sized width=199, height=199 grid is obviously impractical to include here, but the first few rows and columns should look like the following:

         _____         ___
        /     \       /   
  _____/-98,-99\_____/-96,
 /     \       /     \    
/-99,-99\_____/-97,-99\___
\       /     \       /   
 \_____/-98,-98\_____/-96,
 /     \       /     \    
/-99,-98\_____/-97,-98\___
\       /     \       /   
 \_____/-98,-97\_____/-96,
 /     \       /     \    
/-99,-97\_____/-97,-97\___
\       /     \       /   

Answer 1

Ruby, 221 bytes

->w,h{s=' '
a=(s*9+?_*5)*(w/2)+$/
(2-h*2).upto(h*2+3){|y|c=y<4-h*2 
a+=[b=c ?s:?\\,s+b,s,''][y%4]
(0-w/2).upto(w/2){|x|a+=["/#{h<y/2?s*7:"%3d,%-3d"}\\",s*7,?_*5,"/     \\"][(y+x*2+w)%4]%[x,y/4]}
a+='//  '[c ?3:y%4]+$/}
a}

Ungolfed in test program

f=->w,h{
  s=' '                                #set s to space for golfing reasons
  a=(s*9+?_*5)*(w/2)+$/                #start building the output with a row of just _ and space

  (2-h*2).upto(h*2+3){|y|              #iterate 4 times for each row of hexagons, plus an extra 2 at the end to finish last row
    c=y<4-h*2                          #condition for first two rows
    a+=[b=c ?s:?\\,s+b,s,''][y%4]      #string to be output before main set of hexagons (spaces for top row, \ for certain other rows

    (0-w/2).upto(w/2){|x|              #iterate through hexagons on each row, 4 lines for each with the following printf type string
      a+=["/#{h<y/2?s*7:"%3d,%-3d"}\\",#line 1:contains ends / \ and numbers 
         s*7,                          #line 2 padding spaces
         ?_*5,                         #line 3 padding ___
         "/     \\"][(y+x*2+w)%4]%     #line 0 top of hexagon / \; formula to select string to be printed
           [x,y/4]                     #numbers to be printed (if format for current line does not require them they are ignored)
    }

    a+='//  '[c ?3:y%4]+$/             #ending alternates between / and space; / are suppressed for first two rows
  }
  a
}

puts g[7,3]
puts g[5,5]

Output

As I was finishing debugging, I noticed an ambiguity in the spec. Where w+1 is divisible by 4, the first and last x coordinates are odd, and there is no ambiguity. But where w-1 is divisible by 4 the first and last x coordinates are even. I assumed that the first and last columns should be offset below the next ones. But then I read the previous question and noted in that case it was the odd columns that should be offset below the even ones (note for w-1 divisible by 4 it is not possible to do both.)

That distinction was not made in this question, however. I will leave this up to OP's judgement and rework if necessary, though I'd prefer not to have to.

         _____         _____         _____
        /     \       /     \       /     \
  _____/ -2,-1 \_____/  0,-1 \_____/  2,-1 \_____
 /     \       /     \       /     \       /     \
/ -3,-1 \_____/ -1,-1 \_____/  1,-1 \_____/  3,-1 \
\       /     \       /     \       /     \       /
 \_____/ -2,0  \_____/  0,0  \_____/  2,0  \_____/
 /     \       /     \       /     \       /     \
/ -3,0  \_____/ -1,0  \_____/  1,0  \_____/  3,0  \
\       /     \       /     \       /     \       /
 \_____/ -2,1  \_____/  0,1  \_____/  2,1  \_____/
 /     \       /     \       /     \       /     \
/ -3,1  \_____/ -1,1  \_____/  1,1  \_____/  3,1  \
\       /     \       /     \       /     \       /
 \_____/       \_____/       \_____/       \_____/
         _____         _____
        /     \       /     \
  _____/ -1,-2 \_____/  1,-2 \_____
 /     \       /     \       /     \
/ -2,-2 \_____/  0,-2 \_____/  2,-2 \
\       /     \       /     \       /
 \_____/ -1,-1 \_____/  1,-1 \_____/
 /     \       /     \       /     \
/ -2,-1 \_____/  0,-1 \_____/  2,-1 \
\       /     \       /     \       /
 \_____/ -1,0  \_____/  1,0  \_____/
 /     \       /     \       /     \
/ -2,0  \_____/  0,0  \_____/  2,0  \
\       /     \       /     \       /
 \_____/ -1,1  \_____/  1,1  \_____/
 /     \       /     \       /     \
/ -2,1  \_____/  0,1  \_____/  2,1  \
\       /     \       /     \       /
 \_____/ -1,2  \_____/  1,2  \_____/
 /     \       /     \       /     \
/ -2,2  \_____/  0,2  \_____/  2,2  \
\       /     \       /     \       /
 \_____/       \_____/       \_____/