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Appendix A: The DISPLAY Function

<div class="chapter-rule">

<hr class="chapter-long">

<p>Appendix</p>

<hr class="chapter-short">

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<div>

A

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<h2 id="the-display-function">The <code>DISPLAY</code> Function</h2>

<p>The following is the <code>DISPLAY</code> function as distributed by <span class="small-caps">IBM</span> in <span class="small-caps">APL2</span> Release 2, Program number 5668-899.</p>

<p>On most <span class="small-caps">APL2</span> systems that provide the <code>DISPLAY</code> function, you can find it in library 1 by entering:</p>

<pre> )COPY 1 DISPLAY DISPLAY</pre>

<p>This function uses characters from the <span class="small-caps">APL2</span> character set to draw the best box it can. Sometimes a second function <code>DISPLAYG</code> is provided that uses non-<span class="small-caps">APL</span> graphic characters to draw better boxes on suitably-equipped terminals.</p>

<center>

<div class="line-block">Copyright <span class="small-caps">IBM</span> Corporation, 1984.<br>

Reprinted with permission.</div>

</center>

<!--the '⍷' on line 31 has been edited from the (incorrect) 'V̲' in the original text so that this code snippet actually works as intended-->

<pre> ∇ D←S DISPLAY A;⎕IO;R;C;HL;HC;HT;HB;VL;VB;V;W;N;B

[1] ⍝ (C) SEE COIBM. 5668-899 DISPLAY (DISPLAY)

[2] ⍝ NORMAL CALL IS MONADIC. DYADIC CALL USED ONLY IN

[3] ⍝ RECURSION TO SPECIFY DISPLAY RANK, SHAPE, AND DEPTH.

[4] ⎕IO←0

[5] ⍎(0=⎕NC 'S')/'S←⍴A'

[6] R←↑⍴,S ⍝ PSEUDO RANK.

[7] C←'..''''' ⍝ UR, UL, LL, AND LR CORNERS.

[8] HL←'-' ⍝ HORIZONTAL LINE.

[9] HC←HL,'⊖→',HL,'∼+∊' ⍝ HORIZONTAL BORDERS.

[10] HT←HC[(0&lt;R)×1+0&lt;↑¯1↑,S]

[11] W←,0≡¨↑0⍴⊂(1⌈⍴A)↑A

[12] HB←HC[3+3⌊(∨/W)+(∧/0 1∊W)+3×1&lt;⍴⍴S]

[13] VL←'|' ⍝ VERTICAL LINE.

[14] VB←VL,'⌽↓' ⍝ VERTICAL BORDER.

[15] V←VB[(1&lt;R)×1+0&lt;¯1↑¯1↓,S]

[16] ⍎(0∊⍴A)/'A←(1⌈⍴A)⍴⊂↑A' ⍝ SHOW PROTOTYPE OF EMPTIES.

[17] →(1&lt;≡A)/GEN

[18] →(2&lt;⍴⍴A)/D3

[19] D←⍕A ⍝ SIMPLE ARRAYS.

[20] W←1↑⍴D←(¯2↑1 1,⍴D)⍴D

[21] N←¯1+1↓⍴D

[22] →(0=⍴⍴A)/SS

[23] D←(C[1],V,((W−1)⍴VL),C[2]),((HT,N⍴HL),[0]D,[0]HB,N⍴HL),C[0],(W⍴VL),C[3]

[24] →0

[25] SS:HB←((0 ' ')=↑0⍴⊂A)/' -’

[261 D←(B,B,((W−1)⍴B),B),((((⍴HT)⍴B),N⍴B),[0]D,[0]HB,N⍴B),B,(W⍴B),B←' '

[27] →0

[28] GEN:D←⍕DISPLAY¨A ⍝ ENCLOSED ...

[29] N←D∨.≠' '

[30] D←(N∨∼1⌽N)⌿D

[31] D←(∨⌿∼' '⍷D)/D

[32] D←((1,⍴S)⍴S)DISPLAY D

[33] →(2≥⍴,S)↓D3E,0

[34] D3:D←0 ¯1↓0 1↓⍕⊂A ⍝ MULT-DIMENSIONAL ...

[35] W←1↑⍴D

[36] N←¯1+1↓⍴D

[37] D←(C[1],V,((W−1)⍴VL),C[2]),((HT,N⍴HL),[0]D,[0]HB,N⍴HL),C[0],(W⍴VL),C[3]

[38] D3E:N←¯2+⍴,S

[39] V←C[N⍴1],[0]VB[1+0&lt;¯2↓,S],[0](((¯3+↑⍴D),N)⍴VL),[0]C[N⍴2]

[40] D←V,D

[41] ∇</pre>

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