The final version is different from what we planned in two ways: first, it contains additional values calculated once in the varlist; second, it carries an option to specify the labels' increment per row. This latter feature turns out to be essential; otherwise, a graph may have more rows than fit on a display or on a sheet of paper.

This new feature requires a change to the `Y-axis-column`

function, to add `vertical-step`

to it. The function looks like
this:

;;; Final version. (defun Y-axis-column (height width-of-label &optional vertical-step) "Construct list of labels for Y axis. HEIGHT is maximum height of graph. WIDTH-OF-LABEL is maximum width of label. VERTICAL-STEP, an option, is a positive integer that specifies how much a Y axis label increments for each line. For example, a step of 5 means that each line is five units of the graph." (let (Y-axis (number-per-line (or vertical-step 1))) (while (> height 1) (if (zerop (% height Y-axis-label-spacing)) ;; Insert label. (setq Y-axis (cons (Y-axis-element (* height number-per-line) width-of-label) Y-axis)) ;; Else, insert blanks. (setq Y-axis (cons (make-string width-of-label ? ) Y-axis))) (setq height (1- height))) ;; Insert base line. (setq Y-axis (cons (Y-axis-element (or vertical-step 1) width-of-label) Y-axis)) (nreverse Y-axis)))

The values for the maximum height of graph and the width of a symbol
are computed by `print-graph`

in its `let`

expression; so
`graph-body-print`

must be changed to accept them.

;;; Final version. (defun graph-body-print (numbers-list height symbol-width) "Print a bar graph of the NUMBERS-LIST. The numbers-list consists of the Y-axis values. HEIGHT is maximum height of graph. SYMBOL-WIDTH is number of each column." (let (from-position) (while numbers-list (setq from-position (point)) (insert-rectangle (column-of-graph height (car numbers-list))) (goto-char from-position) (forward-char symbol-width) ;; Draw graph column by column. (sit-for 0) (setq numbers-list (cdr numbers-list))) ;; Place point for X axis labels. (forward-line height) (insert "\n")))

Finally, the code for the `print-graph`

function:

```
;;; Final version.
(defun print-graph
(numbers-list &optional vertical-step)
"Print labelled bar graph of the NUMBERS-LIST.
The numbers-list consists of the Y-axis values.
Optionally, VERTICAL-STEP, a positive integer,
specifies how much a Y axis label increments for
each line. For example, a step of 5 means that
each row is five units."
(let* ((symbol-width (length graph-blank))
;;
````height`

is both the largest number
;; and the number with the most digits.
(height (apply 'max numbers-list))
(height-of-top-line
(if (zerop (% height Y-axis-label-spacing))
height
;; else
(* (1+ (/ height Y-axis-label-spacing))
Y-axis-label-spacing)))
(vertical-step (or vertical-step 1))
(full-Y-label-width
(length
(concat
(number-to-string
(* height-of-top-line vertical-step))
Y-axis-tic))))
(print-Y-axis
height-of-top-line full-Y-label-width vertical-step)
(graph-body-print
numbers-list height-of-top-line symbol-width)
(print-X-axis numbers-list)))