summary refs log tree commit diff stats
path: root/TODO
diff options
context:
space:
mode:
Diffstat (limited to 'TODO')
-rw-r--r--TODO2
1 files changed, 1 insertions, 1 deletions
diff --git a/TODO b/TODO
index d715c991..6be34f8c 100644
--- a/TODO
+++ b/TODO
@@ -49,7 +49,7 @@ General
    (X) #66  10/02/28  explain how colorschemes work
    (X) #70  10/03/14  mouse handler for titlebar
    (X) #71  10/03/21  previews: black/whitelist + read file
-   ( ) #79  10/04/08  tab number zero
+   (X) #79  10/04/08  tab number zero
    ( ) #80  10/04/08  when closing tabs, avoid gaps?
 
 
='n69' href='#n69'>69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710
<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<title>Mu - linux/412print-float-decimal.mu</title>
<meta name="Generator" content="Vim/8.2">
<meta name="plugin-version" content="vim8.1_v2">
<meta name="syntax" content="none">
<meta name="settings" content="number_lines,use_css,pre_wrap,no_foldcolumn,expand_tabs,line_ids,prevent_copy=,use_input_for_pc=fallback">
<meta name="colorscheme" content="minimal-light">
<style>
<!--
pre { white-space: pre-wrap; font-family: monospace; color: #000000; background-color: #ffffd7; }
body { font-size:12pt; font-family: monospace; color: #000000; background-color: #ffffd7; }
a { color:inherit; }
* { font-size:12pt; font-size: 1em; }
.PreProc { color: #c000c0; }
.muRegEbx { color: #5f00ff; }
.muRegEcx { color: #870000; }
.muRegEdx { color: #af5f00; }
.LineNr { }
.muRegEsi { color: #005faf; }
.muRegEdi { color: #00af00; }
.Constant { color: #008787; }
.muFunction { color: #af5f00; text-decoration: underline; }
.muTest { color: #5f8700; }
.Delimiter { color: #c000c0; }
.muComment { color: #005faf; }
.Special { color: #ff6060; }
-->
</style>

<script>
<!--

/* function to open any folds containing a jumped-to line before jumping to it */
function JumpToLine()
{
  var lineNum;
  lineNum = window.location.hash;
  lineNum = lineNum.substr(1); /* strip off '#' */

  if (lineNum.indexOf('L') == -1) {
    lineNum = 'L'+lineNum;
  }
  var lineElem = document.getElementById(lineNum);
  /* Always jump to new location even if the line was hidden inside a fold, or
   * we corrected the raw number to a line ID.
   */
  if (lineElem) {
    lineElem.scrollIntoView(true);
  }
  return true;
}
if ('onhashchange' in window) {
  window.onhashchange = JumpToLine;
}

-->
</script>
</head>
<body onload='JumpToLine();'>
<a href='https://github.com/akkartik/mu/blob/main/linux/412print-float-decimal.mu'>https://github.com/akkartik/mu/blob/main/linux/412print-float-decimal.mu</a>
<pre id='vimCodeElement'>
<span id="L1" class="LineNr">  1 </span><span class="muComment"># print out floats in decimal</span>
<span id="L2" class="LineNr">  2 </span><span class="muComment"># <a href="https://research.swtch.com/ftoa">https://research.swtch.com/ftoa</a></span>
<span id="L3" class="LineNr">  3 </span><span class="muComment">#</span>
<span id="L4" class="LineNr">  4 </span><span class="muComment"># Basic idea:</span>
<span id="L5" class="LineNr">  5 </span><span class="muComment">#   Ignoring sign, floating point numbers are represented as 1.mantissa * 2^exponent</span>
<span id="L6" class="LineNr">  6 </span><span class="muComment">#   Therefore, to print a float in decimal, we need to:</span>
<span id="L7" class="LineNr">  7 </span><span class="muComment">#     - compute its value without decimal point</span>
<span id="L8" class="LineNr">  8 </span><span class="muComment">#     - convert to an array of decimal digits</span>
<span id="L9" class="LineNr">  9 </span><span class="muComment">#     - print out the array while inserting the decimal point appropriately</span>
<span id="L10" class="LineNr"> 10 </span><span class="muComment">#</span>
<span id="L11" class="LineNr"> 11 </span><span class="muComment"># Basic complication: the computation generates numbers larger than an int can</span>
<span id="L12" class="LineNr"> 12 </span><span class="muComment"># hold. We need a way to represent big ints.</span>
<span id="L13" class="LineNr"> 13 </span><span class="muComment">#</span>
<span id="L14" class="LineNr"> 14 </span><span class="muComment"># Key insight: use a representation for big ints that's close to what we need</span>
<span id="L15" class="LineNr"> 15 </span><span class="muComment"># anyway, an array of decimal digits.</span>
<span id="L16" class="LineNr"> 16 </span><span class="muComment">#</span>
<span id="L17" class="LineNr"> 17 </span><span class="muComment"># Style note: we aren't creating a big int library here. The only operations</span>
<span id="L18" class="LineNr"> 18 </span><span class="muComment"># we need are halving and doubling. Following the link above, it seems more</span>
<span id="L19" class="LineNr"> 19 </span><span class="muComment"># comprehensible to keep these operations inlined so that we can track the</span>
<span id="L20" class="LineNr"> 20 </span><span class="muComment"># position of the decimal point with dispatch.</span>
<span id="L21" class="LineNr"> 21 </span><span class="muComment">#</span>
<span id="L22" class="LineNr"> 22 </span><span class="muComment"># This approach turns out to be fast enough for most purposes.</span>
<span id="L23" class="LineNr"> 23 </span><span class="muComment"># Optimizations, however, get wildly more complex.</span>
<span id="L24" class="LineNr"> 24 </span>
<span id="L25" class="LineNr"> 25 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L25'>test-write-float-decimal-approximate-normal</a></span> <span class="Delimiter">{</span>
<span id="L26" class="LineNr"> 26 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L27" class="LineNr"> 27 </span>  <span class="PreProc">var</span> s/<span class="muRegEcx">ecx</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L28" class="LineNr"> 28 </span>  <span class="muComment"># 0.5</span>
<span id="L29" class="LineNr"> 29 </span>  <span class="PreProc">var</span> half/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">1</span>, <span class="Constant">2</span>
<span id="L30" class="LineNr"> 30 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, half, <span class="Constant">3</span>
<span id="L31" class="LineNr"> 31 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;0.5&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L25'>test-write-float-decimal-approximate-normal</a> 0.5&quot;</span>
<span id="L32" class="LineNr"> 32 </span>  <span class="muComment"># 0.25</span>
<span id="L33" class="LineNr"> 33 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L34" class="LineNr"> 34 </span>  <span class="PreProc">var</span> quarter/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">1</span>, <span class="Constant">4</span>
<span id="L35" class="LineNr"> 35 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, quarter, <span class="Constant">3</span>
<span id="L36" class="LineNr"> 36 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;0.25&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L25'>test-write-float-decimal-approximate-normal</a> 0.25&quot;</span>
<span id="L37" class="LineNr"> 37 </span>  <span class="muComment"># 0.75</span>
<span id="L38" class="LineNr"> 38 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L39" class="LineNr"> 39 </span>  <span class="PreProc">var</span> three-quarters/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">3</span>, <span class="Constant">4</span>
<span id="L40" class="LineNr"> 40 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, three-quarters, <span class="Constant">3</span>
<span id="L41" class="LineNr"> 41 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;0.75&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L25'>test-write-float-decimal-approximate-normal</a> 0.75&quot;</span>
<span id="L42" class="LineNr"> 42 </span>  <span class="muComment"># 0.125</span>
<span id="L43" class="LineNr"> 43 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L44" class="LineNr"> 44 </span>  <span class="PreProc">var</span> eighth/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">1</span>, <span class="Constant">8</span>
<span id="L45" class="LineNr"> 45 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, eighth, <span class="Constant">3</span>
<span id="L46" class="LineNr"> 46 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;0.125&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L25'>test-write-float-decimal-approximate-normal</a> 0.125&quot;</span>
<span id="L47" class="LineNr"> 47 </span>  <span class="muComment"># 0.0625; start using scientific notation</span>
<span id="L48" class="LineNr"> 48 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L49" class="LineNr"> 49 </span>  <span class="PreProc">var</span> sixteenth/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">1</span>, <span class="Constant">0x10</span>
<span id="L50" class="LineNr"> 50 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, sixteenth, <span class="Constant">3</span>
<span id="L51" class="LineNr"> 51 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;6.25e-2&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L25'>test-write-float-decimal-approximate-normal</a> 0.0625&quot;</span>
<span id="L52" class="LineNr"> 52 </span>  <span class="muComment"># sqrt(2); truncate floats with lots of digits after the decimal but not too many before</span>
<span id="L53" class="LineNr"> 53 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L54" class="LineNr"> 54 </span>  <span class="PreProc">var</span> two-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">2</span>, <span class="Constant">1</span>
<span id="L55" class="LineNr"> 55 </span>  <span class="PreProc">var</span> sqrt-2/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> square-root two-f
<span id="L56" class="LineNr"> 56 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, sqrt-2, <span class="Constant">3</span>
<span id="L57" class="LineNr"> 57 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;1.414&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L25'>test-write-float-decimal-approximate-normal</a> √2&quot;</span>
<span id="L58" class="LineNr"> 58 </span><span class="Delimiter">}</span>
<span id="L59" class="LineNr"> 59 </span>
<span id="L60" class="LineNr"> 60 </span><span class="muComment"># print whole integers without decimals</span>
<span id="L61" class="LineNr"> 61 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a></span> <span class="Delimiter">{</span>
<span id="L62" class="LineNr"> 62 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L63" class="LineNr"> 63 </span>  <span class="PreProc">var</span> s/<span class="muRegEcx">ecx</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L64" class="LineNr"> 64 </span>  <span class="muComment"># 1</span>
<span id="L65" class="LineNr"> 65 </span>  <span class="PreProc">var</span> one-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">1</span>, <span class="Constant">1</span>
<span id="L66" class="LineNr"> 66 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, one-f, <span class="Constant">3</span>
<span id="L67" class="LineNr"> 67 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;1&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a> 1&quot;</span>
<span id="L68" class="LineNr"> 68 </span>  <span class="muComment"># 2</span>
<span id="L69" class="LineNr"> 69 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L70" class="LineNr"> 70 </span>  <span class="PreProc">var</span> two-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">2</span>, <span class="Constant">1</span>
<span id="L71" class="LineNr"> 71 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, two-f, <span class="Constant">3</span>
<span id="L72" class="LineNr"> 72 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;2&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a> 2&quot;</span>
<span id="L73" class="LineNr"> 73 </span>  <span class="muComment"># 10</span>
<span id="L74" class="LineNr"> 74 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L75" class="LineNr"> 75 </span>  <span class="PreProc">var</span> ten-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">0xa</span>, <span class="Constant">1</span>
<span id="L76" class="LineNr"> 76 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, ten-f, <span class="Constant">3</span>
<span id="L77" class="LineNr"> 77 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;10&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a> 10&quot;</span>
<span id="L78" class="LineNr"> 78 </span>  <span class="muComment"># -10</span>
<span id="L79" class="LineNr"> 79 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L80" class="LineNr"> 80 </span>  <span class="PreProc">var</span> minus-ten-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">-0xa</span>, <span class="Constant">1</span>
<span id="L81" class="LineNr"> 81 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, minus-ten-f, <span class="Constant">3</span>
<span id="L82" class="LineNr"> 82 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;-10&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a> -10&quot;</span>
<span id="L83" class="LineNr"> 83 </span>  <span class="muComment"># 999</span>
<span id="L84" class="LineNr"> 84 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L85" class="LineNr"> 85 </span>  <span class="PreProc">var</span> minus-ten-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">0x3e7</span>, <span class="Constant">1</span>
<span id="L86" class="LineNr"> 86 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, minus-ten-f, <span class="Constant">3</span>
<span id="L87" class="LineNr"> 87 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;999&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a> 1000&quot;</span>
<span id="L88" class="LineNr"> 88 </span>  <span class="muComment"># 1000 - start using scientific notation</span>
<span id="L89" class="LineNr"> 89 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L90" class="LineNr"> 90 </span>  <span class="PreProc">var</span> minus-ten-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> <a href='408float.mu.html#L18'>rational</a> <span class="Constant">0x3e8</span>, <span class="Constant">1</span>
<span id="L91" class="LineNr"> 91 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, minus-ten-f, <span class="Constant">3</span>
<span id="L92" class="LineNr"> 92 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;1.00e3&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a> 1000&quot;</span>
<span id="L93" class="LineNr"> 93 </span>  <span class="muComment"># 100,000</span>
<span id="L94" class="LineNr"> 94 </span>  <a href='106stream.subx.html#L17'>clear-stream</a> s
<span id="L95" class="LineNr"> 95 </span>  <span class="PreProc">var</span> hundred-thousand/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0x186a0</span>
<span id="L96" class="LineNr"> 96 </span>  <span class="PreProc">var</span> hundred-thousand-f/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> convert hundred-thousand
<span id="L97" class="LineNr"> 97 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, hundred-thousand-f, <span class="Constant">3</span>
<span id="L98" class="LineNr"> 98 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;1.00e5&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L61'>test-write-float-decimal-approximate-integer</a> 100,000&quot;</span>
<span id="L99" class="LineNr"> 99 </span><span class="Delimiter">}</span>
<span id="L100" class="LineNr">100 </span>
<span id="L101" class="LineNr">101 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L101'>test-write-float-decimal-approximate-zero</a></span> <span class="Delimiter">{</span>
<span id="L102" class="LineNr">102 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L103" class="LineNr">103 </span>  <span class="PreProc">var</span> s/<span class="muRegEcx">ecx</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L104" class="LineNr">104 </span>  <span class="PreProc">var</span> zero: float
<span id="L105" class="LineNr">105 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, zero, <span class="Constant">3</span>
<span id="L106" class="LineNr">106 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;0&quot;</span>, <span class="Constant">&quot;F - test-write-float-decimal-approximate-zero&quot;</span>
<span id="L107" class="LineNr">107 </span><span class="Delimiter">}</span>
<span id="L108" class="LineNr">108 </span>
<span id="L109" class="LineNr">109 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L109'>test-write-float-decimal-approximate-negative-zero</a></span> <span class="Delimiter">{</span>
<span id="L110" class="LineNr">110 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L111" class="LineNr">111 </span>  <span class="PreProc">var</span> s/<span class="muRegEcx">ecx</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L112" class="LineNr">112 </span>  <span class="PreProc">var</span> n: int
<span id="L113" class="LineNr">113 </span>  copy-to n, <span class="Constant">0x80000000</span>
<span id="L114" class="LineNr">114 </span>  <span class="PreProc">var</span> negative-zero/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> reinterpret n
<span id="L115" class="LineNr">115 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, negative-zero, <span class="Constant">3</span>
<span id="L116" class="LineNr">116 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;-0&quot;</span>, <span class="Constant">&quot;F - test-write-float-decimal-approximate-negative-zero&quot;</span>
<span id="L117" class="LineNr">117 </span><span class="Delimiter">}</span>
<span id="L118" class="LineNr">118 </span>
<span id="L119" class="LineNr">119 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L119'>test-write-float-decimal-approximate-infinity</a></span> <span class="Delimiter">{</span>
<span id="L120" class="LineNr">120 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L121" class="LineNr">121 </span>  <span class="PreProc">var</span> s/<span class="muRegEcx">ecx</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L122" class="LineNr">122 </span>  <span class="PreProc">var</span> n: int
<span id="L123" class="LineNr">123 </span>  <span class="muComment">#          0|11111111|00000000000000000000000</span>
<span id="L124" class="LineNr">124 </span>  <span class="muComment">#          0111|1111|1000|0000|0000|0000|0000|0000</span>
<span id="L125" class="LineNr">125 </span>  copy-to n, <span class="Constant">0x7f800000</span>
<span id="L126" class="LineNr">126 </span>  <span class="PreProc">var</span> infinity/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> reinterpret n
<span id="L127" class="LineNr">127 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, infinity, <span class="Constant">3</span>
<span id="L128" class="LineNr">128 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;Inf&quot;</span>, <span class="Constant">&quot;F - test-write-float-decimal-approximate-infinity&quot;</span>
<span id="L129" class="LineNr">129 </span><span class="Delimiter">}</span>
<span id="L130" class="LineNr">130 </span>
<span id="L131" class="LineNr">131 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L131'>test-write-float-decimal-approximate-negative-infinity</a></span> <span class="Delimiter">{</span>
<span id="L132" class="LineNr">132 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L133" class="LineNr">133 </span>  <span class="PreProc">var</span> s/<span class="muRegEcx">ecx</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L134" class="LineNr">134 </span>  <span class="PreProc">var</span> n: int
<span id="L135" class="LineNr">135 </span>  copy-to n, <span class="Constant">0xff800000</span>
<span id="L136" class="LineNr">136 </span>  <span class="PreProc">var</span> negative-infinity/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> reinterpret n
<span id="L137" class="LineNr">137 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, negative-infinity, <span class="Constant">3</span>
<span id="L138" class="LineNr">138 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;-Inf&quot;</span>, <span class="Constant">&quot;F - test-write-float-decimal-approximate-negative-infinity&quot;</span>
<span id="L139" class="LineNr">139 </span><span class="Delimiter">}</span>
<span id="L140" class="LineNr">140 </span>
<span id="L141" class="LineNr">141 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L141'>test-write-float-decimal-approximate-not-a-number</a></span> <span class="Delimiter">{</span>
<span id="L142" class="LineNr">142 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L143" class="LineNr">143 </span>  <span class="PreProc">var</span> s/<span class="muRegEcx">ecx</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L144" class="LineNr">144 </span>  <span class="PreProc">var</span> n: int
<span id="L145" class="LineNr">145 </span>  copy-to n, <span class="Constant">0xffffffff</span>  <span class="muComment"># exponent must be all 1's, and mantissa must be non-zero</span>
<span id="L146" class="LineNr">146 </span>  <span class="PreProc">var</span> nan/<span class="Constant">xmm0</span>: float <span class="Special">&lt;-</span> reinterpret n
<span id="L147" class="LineNr">147 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, nan, <span class="Constant">3</span>
<span id="L148" class="LineNr">148 </span>  <a href='109stream-equal.subx.html#L194'>check-stream-equal</a> s, <span class="Constant">&quot;NaN&quot;</span>, <span class="Constant">&quot;F - test-write-float-decimal-approximate-not-a-number&quot;</span>
<span id="L149" class="LineNr">149 </span><span class="Delimiter">}</span>
<span id="L150" class="LineNr">150 </span>
<span id="L151" class="LineNr">151 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L151'>print-float-decimal-approximate</a></span> <a href='405screen.mu.html#L9'>screen</a>: (addr <a href='405screen.mu.html#L9'>screen</a>), in: float, precision: int <span class="Delimiter">{</span>
<span id="L152" class="LineNr">152 </span>  <span class="PreProc">var</span> s-storage: (stream byte <span class="Constant">0x10</span>)
<span id="L153" class="LineNr">153 </span>  <span class="PreProc">var</span> s/<span class="muRegEsi">esi</span>: (addr stream byte) <span class="Special">&lt;-</span> address s-storage
<span id="L154" class="LineNr">154 </span>  <a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a> s, in, precision
<span id="L155" class="LineNr">155 </span>  <a href='405screen.mu.html#L183'>print-stream</a> <a href='405screen.mu.html#L9'>screen</a>, s
<span id="L156" class="LineNr">156 </span><span class="Delimiter">}</span>
<span id="L157" class="LineNr">157 </span>
<span id="L158" class="LineNr">158 </span><span class="muComment"># 'precision' controls the maximum width past which we resort to scientific notation</span>
<span id="L159" class="LineNr">159 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L159'>write-float-decimal-approximate</a></span> out: (addr stream byte), in: float, precision: int <span class="Delimiter">{</span>
<span id="L160" class="LineNr">160 </span>  <span class="muComment"># - special names</span>
<span id="L161" class="LineNr">161 </span>  <span class="PreProc">var</span> bits/eax: int <span class="Special">&lt;-</span> reinterpret in
<span id="L162" class="LineNr">162 </span>  compare bits, <span class="Constant">0</span>
<span id="L163" class="LineNr">163 </span>  <span class="Delimiter">{</span>
<span id="L164" class="LineNr">164 </span>    <span class="PreProc">break-if-!=</span>
<span id="L165" class="LineNr">165 </span>    <a href='108write.subx.html#L24'>write</a> out, <span class="Constant">&quot;0&quot;</span>
<span id="L166" class="LineNr">166 </span>    <span class="PreProc">return</span>
<span id="L167" class="LineNr">167 </span>  <span class="Delimiter">}</span>
<span id="L168" class="LineNr">168 </span>  compare bits, <span class="Constant">0x80000000</span>
<span id="L169" class="LineNr">169 </span>  <span class="Delimiter">{</span>
<span id="L170" class="LineNr">170 </span>    <span class="PreProc">break-if-!=</span>
<span id="L171" class="LineNr">171 </span>    <a href='108write.subx.html#L24'>write</a> out, <span class="Constant">&quot;-0&quot;</span>
<span id="L172" class="LineNr">172 </span>    <span class="PreProc">return</span>
<span id="L173" class="LineNr">173 </span>  <span class="Delimiter">}</span>
<span id="L174" class="LineNr">174 </span>  compare bits, <span class="Constant">0x7f800000</span>
<span id="L175" class="LineNr">175 </span>  <span class="Delimiter">{</span>
<span id="L176" class="LineNr">176 </span>    <span class="PreProc">break-if-!=</span>
<span id="L177" class="LineNr">177 </span>    <a href='108write.subx.html#L24'>write</a> out, <span class="Constant">&quot;Inf&quot;</span>
<span id="L178" class="LineNr">178 </span>    <span class="PreProc">return</span>
<span id="L179" class="LineNr">179 </span>  <span class="Delimiter">}</span>
<span id="L180" class="LineNr">180 </span>  compare bits, <span class="Constant">0xff800000</span>
<span id="L181" class="LineNr">181 </span>  <span class="Delimiter">{</span>
<span id="L182" class="LineNr">182 </span>    <span class="PreProc">break-if-!=</span>
<span id="L183" class="LineNr">183 </span>    <a href='108write.subx.html#L24'>write</a> out, <span class="Constant">&quot;-Inf&quot;</span>
<span id="L184" class="LineNr">184 </span>    <span class="PreProc">return</span>
<span id="L185" class="LineNr">185 </span>  <span class="Delimiter">}</span>
<span id="L186" class="LineNr">186 </span>  <span class="PreProc">var</span> exponent/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy bits
<span id="L187" class="LineNr">187 </span>  exponent <span class="Special">&lt;-</span> shift-right <span class="Constant">0x17</span>  <span class="muComment"># 23 bits of mantissa</span>
<span id="L188" class="LineNr">188 </span>  exponent <span class="Special">&lt;-</span> and <span class="Constant">0xff</span>
<span id="L189" class="LineNr">189 </span>  exponent <span class="Special">&lt;-</span> subtract <span class="Constant">0x7f</span>
<span id="L190" class="LineNr">190 </span>  compare exponent, <span class="Constant">0x80</span>
<span id="L191" class="LineNr">191 </span>  <span class="Delimiter">{</span>
<span id="L192" class="LineNr">192 </span>    <span class="PreProc">break-if-!=</span>
<span id="L193" class="LineNr">193 </span>    <a href='108write.subx.html#L24'>write</a> out, <span class="Constant">&quot;NaN&quot;</span>
<span id="L194" class="LineNr">194 </span>    <span class="PreProc">return</span>
<span id="L195" class="LineNr">195 </span>  <span class="Delimiter">}</span>
<span id="L196" class="LineNr">196 </span>  <span class="muComment"># - regular numbers</span>
<span id="L197" class="LineNr">197 </span>  <span class="PreProc">var</span> sign/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy bits
<span id="L198" class="LineNr">198 </span>  sign <span class="Special">&lt;-</span> shift-right <span class="Constant">0x1f</span>
<span id="L199" class="LineNr">199 </span>  <span class="Delimiter">{</span>
<span id="L200" class="LineNr">200 </span>    compare sign, <span class="Constant">1</span>
<span id="L201" class="LineNr">201 </span>    <span class="PreProc">break-if-!=</span>
<span id="L202" class="LineNr">202 </span>    <a href='115write-byte.subx.html#L208'>append-byte</a> out, <span class="Constant">0x2d</span>/minus
<span id="L203" class="LineNr">203 </span>  <span class="Delimiter">}</span>
<span id="L204" class="LineNr">204 </span>
<span id="L205" class="LineNr">205 </span>  <span class="muComment"># v = 1.mantissa (in base 2) &lt;&lt; 0x17</span>
<span id="L206" class="LineNr">206 </span>  <span class="PreProc">var</span> v/<span class="muRegEbx">ebx</span>: int <span class="Special">&lt;-</span> copy bits
<span id="L207" class="LineNr">207 </span>  v <span class="Special">&lt;-</span> and <span class="Constant">0x7fffff</span>
<span id="L208" class="LineNr">208 </span>  v <span class="Special">&lt;-</span> or <span class="Constant">0x00800000</span>  <span class="muComment"># insert implicit 1</span>
<span id="L209" class="LineNr">209 </span>  <span class="muComment"># e = exponent - 0x17</span>
<span id="L210" class="LineNr">210 </span>  <span class="PreProc">var</span> e/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy exponent
<span id="L211" class="LineNr">211 </span>  e <span class="Special">&lt;-</span> subtract <span class="Constant">0x17</span>  <span class="muComment"># move decimal place from before mantissa to after</span>
<span id="L212" class="LineNr">212 </span>
<span id="L213" class="LineNr">213 </span>  <span class="muComment"># initialize buffer with decimal representation of v</span>
<span id="L214" class="LineNr">214 </span>  <span class="muComment"># unlike <a href="https://research.swtch.com/ftoa">https://research.swtch.com/ftoa</a>, no ascii here</span>
<span id="L215" class="LineNr">215 </span>  <span class="PreProc">var</span> buf-storage: (array byte <span class="Constant">0x7f</span>)
<span id="L216" class="LineNr">216 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> address buf-storage
<span id="L217" class="LineNr">217 </span>  <span class="PreProc">var</span> n/eax: int <span class="Special">&lt;-</span> <a href='412print-float-decimal.mu.html#L247'>decimal-digits</a> v, buf
<span id="L218" class="LineNr">218 </span>  <span class="muComment"># I suspect we can do without reversing, but we'll follow <a href="https://research.swtch.com/ftoa">https://research.swtch.com/ftoa</a></span>
<span id="L219" class="LineNr">219 </span>  <span class="muComment"># closely for now.</span>
<span id="L220" class="LineNr">220 </span>  <a href='412print-float-decimal.mu.html#L264'>reverse-digits</a> buf, n
<span id="L221" class="LineNr">221 </span>
<span id="L222" class="LineNr">222 </span>  <span class="muComment"># loop if e &gt; 0</span>
<span id="L223" class="LineNr">223 </span>  <span class="Delimiter">{</span>
<span id="L224" class="LineNr">224 </span>    compare e, <span class="Constant">0</span>
<span id="L225" class="LineNr">225 </span>    <span class="PreProc">break-if-&lt;=</span>
<span id="L226" class="LineNr">226 </span>    n <span class="Special">&lt;-</span> <a href='412print-float-decimal.mu.html#L307'>double-array-of-decimal-digits</a> buf, n
<span id="L227" class="LineNr">227 </span>    e <span class="Special">&lt;-</span> decrement
<span id="L228" class="LineNr">228 </span>    <span class="PreProc">loop</span>
<span id="L229" class="LineNr">229 </span>  <span class="Delimiter">}</span>
<span id="L230" class="LineNr">230 </span>
<span id="L231" class="LineNr">231 </span>  <span class="PreProc">var</span> dp/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy n
<span id="L232" class="LineNr">232 </span>
<span id="L233" class="LineNr">233 </span>  <span class="muComment"># loop if e &lt; 0</span>
<span id="L234" class="LineNr">234 </span>  <span class="Delimiter">{</span>
<span id="L235" class="LineNr">235 </span>    compare e, <span class="Constant">0</span>
<span id="L236" class="LineNr">236 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L237" class="LineNr">237 </span>    n, dp <span class="Special">&lt;-</span> <a href='412print-float-decimal.mu.html#L358'>halve-array-of-decimal-digits</a> buf, n, dp
<span id="L238" class="LineNr">238 </span>    e <span class="Special">&lt;-</span> increment
<span id="L239" class="LineNr">239 </span>    <span class="PreProc">loop</span>
<span id="L240" class="LineNr">240 </span>  <span class="Delimiter">}</span>
<span id="L241" class="LineNr">241 </span>
<span id="L242" class="LineNr">242 </span>  <a href='412print-float-decimal.mu.html#L432'>_write-float-array-of-decimal-digits</a> out, buf, n, dp, precision
<span id="L243" class="LineNr">243 </span><span class="Delimiter">}</span>
<span id="L244" class="LineNr">244 </span>
<span id="L245" class="LineNr">245 </span><span class="muComment"># store the decimal digits of 'n' into 'buf', units first</span>
<span id="L246" class="LineNr">246 </span><span class="muComment"># n must be positive</span>
<span id="L247" class="LineNr">247 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L247'>decimal-digits</a></span> n: int, _buf: (addr array byte)<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
<span id="L248" class="LineNr">248 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L249" class="LineNr">249 </span>  <span class="PreProc">var</span> i/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L250" class="LineNr">250 </span>  <span class="PreProc">var</span> curr/eax: int <span class="Special">&lt;-</span> copy n
<span id="L251" class="LineNr">251 </span>  <span class="PreProc">var</span> curr-byte/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L252" class="LineNr">252 </span>  <span class="Delimiter">{</span>
<span id="L253" class="LineNr">253 </span>    compare curr, <span class="Constant">0</span>
<span id="L254" class="LineNr">254 </span>    <span class="PreProc">break-if-=</span>
<span id="L255" class="LineNr">255 </span>    curr, curr-byte <span class="Special">&lt;-</span> <a href='314divide.subx.html#L3'>integer-divide</a> curr, <span class="Constant">0xa</span>
<span id="L256" class="LineNr">256 </span>    <span class="PreProc">var</span> dest/<span class="muRegEbx">ebx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, i
<span id="L257" class="LineNr">257 </span>    copy-byte-to *dest, curr-byte
<span id="L258" class="LineNr">258 </span>    i <span class="Special">&lt;-</span> increment
<span id="L259" class="LineNr">259 </span>    <span class="PreProc">loop</span>
<span id="L260" class="LineNr">260 </span>  <span class="Delimiter">}</span>
<span id="L261" class="LineNr">261 </span>  <span class="PreProc">return</span> i
<span id="L262" class="LineNr">262 </span><span class="Delimiter">}</span>
<span id="L263" class="LineNr">263 </span>
<span id="L264" class="LineNr">264 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L264'>reverse-digits</a></span> _buf: (addr array byte), n: int <span class="Delimiter">{</span>
<span id="L265" class="LineNr">265 </span>  <span class="PreProc">var</span> buf/<span class="muRegEsi">esi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L266" class="LineNr">266 </span>  <span class="PreProc">var</span> left/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L267" class="LineNr">267 </span>  <span class="PreProc">var</span> right/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy n
<span id="L268" class="LineNr">268 </span>  right <span class="Special">&lt;-</span> decrement
<span id="L269" class="LineNr">269 </span>  <span class="Delimiter">{</span>
<span id="L270" class="LineNr">270 </span>    compare left, right
<span id="L271" class="LineNr">271 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L272" class="LineNr">272 </span>    <span class="Delimiter">{</span>
<span id="L273" class="LineNr">273 </span>      <span class="PreProc">var</span> l-a/<span class="muRegEcx">ecx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, left
<span id="L274" class="LineNr">274 </span>      <span class="PreProc">var</span> r-a/<span class="muRegEdx">edx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, right
<span id="L275" class="LineNr">275 </span>      <span class="PreProc">var</span> l/<span class="muRegEbx">ebx</span>: byte <span class="Special">&lt;-</span> copy-byte *l-a
<span id="L276" class="LineNr">276 </span>      <span class="PreProc">var</span> r/eax: byte <span class="Special">&lt;-</span> copy-byte *r-a
<span id="L277" class="LineNr">277 </span>      copy-byte-to *l-a, r
<span id="L278" class="LineNr">278 </span>      copy-byte-to *r-a, l
<span id="L279" class="LineNr">279 </span>    <span class="Delimiter">}</span>
<span id="L280" class="LineNr">280 </span>    left <span class="Special">&lt;-</span> increment
<span id="L281" class="LineNr">281 </span>    right <span class="Special">&lt;-</span> decrement
<span id="L282" class="LineNr">282 </span>    <span class="PreProc">loop</span>
<span id="L283" class="LineNr">283 </span>  <span class="Delimiter">}</span>
<span id="L284" class="LineNr">284 </span><span class="Delimiter">}</span>
<span id="L285" class="LineNr">285 </span>
<span id="L286" class="LineNr">286 </span><span class="muComment"># debug helper</span>
<span id="L287" class="LineNr">287 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L287'>dump-digits</a></span> _buf: (addr array byte), count: int, msg: (addr array byte) <span class="Delimiter">{</span>
<span id="L288" class="LineNr">288 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L289" class="LineNr">289 </span>  <span class="PreProc">var</span> i/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L290" class="LineNr">290 </span>  <a href='405screen.mu.html#L169'>print-string</a> <span class="Constant">0</span>, msg
<span id="L291" class="LineNr">291 </span>  <a href='405screen.mu.html#L169'>print-string</a> <span class="Constant">0</span>, <span class="Constant">&quot;: &quot;</span>
<span id="L292" class="LineNr">292 </span>  <span class="Delimiter">{</span>
<span id="L293" class="LineNr">293 </span>    compare i, count
<span id="L294" class="LineNr">294 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L295" class="LineNr">295 </span>    <span class="PreProc">var</span> curr/<span class="muRegEdx">edx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, i
<span id="L296" class="LineNr">296 </span>    <span class="PreProc">var</span> curr-byte/eax: byte <span class="Special">&lt;-</span> copy-byte *curr
<span id="L297" class="LineNr">297 </span>    <span class="PreProc">var</span> curr-int/eax: int <span class="Special">&lt;-</span> copy curr-byte
<span id="L298" class="LineNr">298 </span>    <a href='405screen.mu.html#L484'>print-int32-decimal</a> <span class="Constant">0</span>, curr-int
<span id="L299" class="LineNr">299 </span>    <a href='405screen.mu.html#L169'>print-string</a> <span class="Constant">0</span>, <span class="Constant">&quot; &quot;</span>
<span id="L300" class="LineNr">300 </span>    <span class="PreProc">break-if-=</span>
<span id="L301" class="LineNr">301 </span>    i <span class="Special">&lt;-</span> increment
<span id="L302" class="LineNr">302 </span>    <span class="PreProc">loop</span>
<span id="L303" class="LineNr">303 </span>  <span class="Delimiter">}</span>
<span id="L304" class="LineNr">304 </span>  <a href='405screen.mu.html#L169'>print-string</a> <span class="Constant">0</span>, <span class="Constant">&quot;\n&quot;</span>
<span id="L305" class="LineNr">305 </span><span class="Delimiter">}</span>
<span id="L306" class="LineNr">306 </span>
<span id="L307" class="LineNr">307 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L307'>double-array-of-decimal-digits</a></span> _buf: (addr array byte), _n: int<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
<span id="L308" class="LineNr">308 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L309" class="LineNr">309 </span>  <span class="muComment"># initialize delta</span>
<span id="L310" class="LineNr">310 </span>  <span class="PreProc">var</span> delta/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L311" class="LineNr">311 </span>  <span class="Delimiter">{</span>
<span id="L312" class="LineNr">312 </span>    <span class="PreProc">var</span> curr/<span class="muRegEbx">ebx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, <span class="Constant">0</span>
<span id="L313" class="LineNr">313 </span>    <span class="PreProc">var</span> tmp/eax: byte <span class="Special">&lt;-</span> copy-byte *curr
<span id="L314" class="LineNr">314 </span>    compare tmp, <span class="Constant">5</span>
<span id="L315" class="LineNr">315 </span>    <span class="PreProc">break-if-&lt;</span>
<span id="L316" class="LineNr">316 </span>    delta <span class="Special">&lt;-</span> copy <span class="Constant">1</span>
<span id="L317" class="LineNr">317 </span>  <span class="Delimiter">}</span>
<span id="L318" class="LineNr">318 </span>  <span class="muComment"># loop</span>
<span id="L319" class="LineNr">319 </span>  <span class="PreProc">var</span> x/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L320" class="LineNr">320 </span>  <span class="PreProc">var</span> i/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy _n
<span id="L321" class="LineNr">321 </span>  i <span class="Special">&lt;-</span> decrement
<span id="L322" class="LineNr">322 </span>  <span class="Delimiter">{</span>
<span id="L323" class="LineNr">323 </span>    compare i, <span class="Constant">0</span>
<span id="L324" class="LineNr">324 </span>    <span class="PreProc">break-if-&lt;=</span>
<span id="L325" class="LineNr">325 </span>    <span class="muComment"># x += 2*buf[i]</span>
<span id="L326" class="LineNr">326 </span>    <span class="Delimiter">{</span>
<span id="L327" class="LineNr">327 </span>      <span class="PreProc">var</span> tmp/<span class="muRegEcx">ecx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, i
<span id="L328" class="LineNr">328 </span>      <span class="PreProc">var</span> tmp2/<span class="muRegEcx">ecx</span>: byte <span class="Special">&lt;-</span> copy-byte *tmp
<span id="L329" class="LineNr">329 </span>      x <span class="Special">&lt;-</span> add tmp2
<span id="L330" class="LineNr">330 </span>      x <span class="Special">&lt;-</span> add tmp2
<span id="L331" class="LineNr">331 </span>    <span class="Delimiter">}</span>
<span id="L332" class="LineNr">332 </span>    <span class="muComment"># x, buf[i+delta] = x/10, x%10</span>
<span id="L333" class="LineNr">333 </span>    <span class="Delimiter">{</span>
<span id="L334" class="LineNr">334 </span>      <span class="PreProc">var</span> dest-index/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy i
<span id="L335" class="LineNr">335 </span>      dest-index <span class="Special">&lt;-</span> add delta
<span id="L336" class="LineNr">336 </span>      <span class="PreProc">var</span> dest/<span class="muRegEdi">edi</span>: (addr byte) <span class="Special">&lt;-</span> index buf, dest-index
<span id="L337" class="LineNr">337 </span>      <span class="PreProc">var</span> next-digit/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L338" class="LineNr">338 </span>      x, next-digit <span class="Special">&lt;-</span> <a href='314divide.subx.html#L3'>integer-divide</a> x, <span class="Constant">0xa</span>
<span id="L339" class="LineNr">339 </span>      copy-byte-to *dest, next-digit
<span id="L340" class="LineNr">340 </span>    <span class="Delimiter">}</span>
<span id="L341" class="LineNr">341 </span>    <span class="muComment">#</span>
<span id="L342" class="LineNr">342 </span>    i <span class="Special">&lt;-</span> decrement
<span id="L343" class="LineNr">343 </span>    <span class="PreProc">loop</span>
<span id="L344" class="LineNr">344 </span>  <span class="Delimiter">}</span>
<span id="L345" class="LineNr">345 </span>  <span class="muComment"># final patch-up</span>
<span id="L346" class="LineNr">346 </span>  <span class="PreProc">var</span> n/eax: int <span class="Special">&lt;-</span> copy _n
<span id="L347" class="LineNr">347 </span>  compare delta, <span class="Constant">1</span>
<span id="L348" class="LineNr">348 </span>  <span class="Delimiter">{</span>
<span id="L349" class="LineNr">349 </span>    <span class="PreProc">break-if-!=</span>
<span id="L350" class="LineNr">350 </span>    <span class="PreProc">var</span> curr/<span class="muRegEbx">ebx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, <span class="Constant">0</span>
<span id="L351" class="LineNr">351 </span>    <span class="PreProc">var</span> one/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">1</span>
<span id="L352" class="LineNr">352 </span>    copy-byte-to *curr, one
<span id="L353" class="LineNr">353 </span>    n <span class="Special">&lt;-</span> increment
<span id="L354" class="LineNr">354 </span>  <span class="Delimiter">}</span>
<span id="L355" class="LineNr">355 </span>  <span class="PreProc">return</span> n
<span id="L356" class="LineNr">356 </span><span class="Delimiter">}</span>
<span id="L357" class="LineNr">357 </span>
<span id="L358" class="LineNr">358 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L358'>halve-array-of-decimal-digits</a></span> _buf: (addr array byte), _n: int, _dp: int<span class="PreProc"> -&gt; </span>_/eax: int, _/<span class="muRegEdx">edx</span>: int <span class="Delimiter">{</span>
<span id="L359" class="LineNr">359 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L360" class="LineNr">360 </span>  <span class="PreProc">var</span> n/eax: int <span class="Special">&lt;-</span> copy _n
<span id="L361" class="LineNr">361 </span>  <span class="PreProc">var</span> dp/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy _dp
<span id="L362" class="LineNr">362 </span>  <span class="muComment"># initialize one side</span>
<span id="L363" class="LineNr">363 </span>  <span class="Delimiter">{</span>
<span id="L364" class="LineNr">364 </span>    <span class="muComment"># if buf[n-1]%2 == 0, break</span>
<span id="L365" class="LineNr">365 </span>    <span class="PreProc">var</span> right-index/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy n
<span id="L366" class="LineNr">366 </span>    right-index <span class="Special">&lt;-</span> decrement
<span id="L367" class="LineNr">367 </span>    <span class="PreProc">var</span> right-a/<span class="muRegEcx">ecx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, right-index
<span id="L368" class="LineNr">368 </span>    <span class="PreProc">var</span> right/<span class="muRegEcx">ecx</span>: byte <span class="Special">&lt;-</span> copy-byte *right-a
<span id="L369" class="LineNr">369 </span>    <span class="PreProc">var</span> right-int/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy right
<span id="L370" class="LineNr">370 </span>    <span class="PreProc">var</span> remainder/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L371" class="LineNr">371 </span>    <span class="Delimiter">{</span>
<span id="L372" class="LineNr">372 </span>      <span class="PreProc">var</span> dummy/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L373" class="LineNr">373 </span>      dummy, remainder <span class="Special">&lt;-</span> <a href='314divide.subx.html#L3'>integer-divide</a> right-int, <span class="Constant">2</span>
<span id="L374" class="LineNr">374 </span>    <span class="Delimiter">}</span>
<span id="L375" class="LineNr">375 </span>    compare remainder, <span class="Constant">0</span>
<span id="L376" class="LineNr">376 </span>    <span class="PreProc">break-if-=</span>
<span id="L377" class="LineNr">377 </span>    <span class="muComment"># buf[n] = 0</span>
<span id="L378" class="LineNr">378 </span>    <span class="PreProc">var</span> next-a/<span class="muRegEcx">ecx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, n
<span id="L379" class="LineNr">379 </span>    <span class="PreProc">var</span> zero/<span class="muRegEdx">edx</span>: byte <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L380" class="LineNr">380 </span>    copy-byte-to *next-a, zero
<span id="L381" class="LineNr">381 </span>    <span class="muComment"># n++</span>
<span id="L382" class="LineNr">382 </span>    n <span class="Special">&lt;-</span> increment
<span id="L383" class="LineNr">383 </span>  <span class="Delimiter">}</span>
<span id="L384" class="LineNr">384 </span>  <span class="muComment"># initialize the other</span>
<span id="L385" class="LineNr">385 </span>  <span class="PreProc">var</span> delta/<span class="muRegEbx">ebx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L386" class="LineNr">386 </span>  <span class="PreProc">var</span> x/<span class="muRegEsi">esi</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L387" class="LineNr">387 </span>  <span class="Delimiter">{</span>
<span id="L388" class="LineNr">388 </span>    <span class="muComment"># if buf[0] &gt;= 2, break</span>
<span id="L389" class="LineNr">389 </span>    <span class="PreProc">var</span> left/<span class="muRegEcx">ecx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, <span class="Constant">0</span>
<span id="L390" class="LineNr">390 </span>    <span class="PreProc">var</span> src/<span class="muRegEcx">ecx</span>: byte <span class="Special">&lt;-</span> copy-byte *left
<span id="L391" class="LineNr">391 </span>    compare src, <span class="Constant">2</span>
<span id="L392" class="LineNr">392 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L393" class="LineNr">393 </span>    <span class="muComment"># delta, x = 1, buf[0]</span>
<span id="L394" class="LineNr">394 </span>    delta <span class="Special">&lt;-</span> copy <span class="Constant">1</span>
<span id="L395" class="LineNr">395 </span>    x <span class="Special">&lt;-</span> copy src
<span id="L396" class="LineNr">396 </span>    <span class="muComment"># n--</span>
<span id="L397" class="LineNr">397 </span>    n <span class="Special">&lt;-</span> decrement
<span id="L398" class="LineNr">398 </span>    <span class="muComment"># dp--</span>
<span id="L399" class="LineNr">399 </span>    dp <span class="Special">&lt;-</span> decrement
<span id="L400" class="LineNr">400 </span>  <span class="Delimiter">}</span>
<span id="L401" class="LineNr">401 </span>  <span class="muComment"># loop</span>
<span id="L402" class="LineNr">402 </span>  <span class="PreProc">var</span> i/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L403" class="LineNr">403 </span>  <span class="Delimiter">{</span>
<span id="L404" class="LineNr">404 </span>    compare i, n
<span id="L405" class="LineNr">405 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L406" class="LineNr">406 </span>    <span class="muComment"># x = x*10 + buf[i+delta]</span>
<span id="L407" class="LineNr">407 </span>    <span class="Delimiter">{</span>
<span id="L408" class="LineNr">408 </span>      <span class="PreProc">var</span> ten/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0xa</span>
<span id="L409" class="LineNr">409 </span>      x <span class="Special">&lt;-</span> multiply ten
<span id="L410" class="LineNr">410 </span>      <span class="PreProc">var</span> src-index/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy i
<span id="L411" class="LineNr">411 </span>      src-index <span class="Special">&lt;-</span> add delta
<span id="L412" class="LineNr">412 </span>      <span class="PreProc">var</span> src-a/<span class="muRegEdx">edx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, src-index
<span id="L413" class="LineNr">413 </span>      <span class="PreProc">var</span> src/<span class="muRegEdx">edx</span>: byte <span class="Special">&lt;-</span> copy-byte *src-a
<span id="L414" class="LineNr">414 </span>      x <span class="Special">&lt;-</span> add src
<span id="L415" class="LineNr">415 </span>    <span class="Delimiter">}</span>
<span id="L416" class="LineNr">416 </span>    <span class="muComment"># buf[i], x = x/2, x%2</span>
<span id="L417" class="LineNr">417 </span>    <span class="Delimiter">{</span>
<span id="L418" class="LineNr">418 </span>      <span class="PreProc">var</span> quotient/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L419" class="LineNr">419 </span>      <span class="PreProc">var</span> remainder/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L420" class="LineNr">420 </span>      quotient, remainder <span class="Special">&lt;-</span> <a href='314divide.subx.html#L3'>integer-divide</a> x, <span class="Constant">2</span>
<span id="L421" class="LineNr">421 </span>      x <span class="Special">&lt;-</span> copy remainder
<span id="L422" class="LineNr">422 </span>      <span class="PreProc">var</span> dest/<span class="muRegEdx">edx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, i
<span id="L423" class="LineNr">423 </span>      copy-byte-to *dest, quotient
<span id="L424" class="LineNr">424 </span>    <span class="Delimiter">}</span>
<span id="L425" class="LineNr">425 </span>    <span class="muComment">#</span>
<span id="L426" class="LineNr">426 </span>    i <span class="Special">&lt;-</span> increment
<span id="L427" class="LineNr">427 </span>    <span class="PreProc">loop</span>
<span id="L428" class="LineNr">428 </span>  <span class="Delimiter">}</span>
<span id="L429" class="LineNr">429 </span>  <span class="PreProc">return</span> n, dp
<span id="L430" class="LineNr">430 </span><span class="Delimiter">}</span>
<span id="L431" class="LineNr">431 </span>
<span id="L432" class="LineNr">432 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L432'>_write-float-array-of-decimal-digits</a></span> out: (addr stream byte), _buf: (addr array byte), n: int, dp: int, precision: int <span class="Delimiter">{</span>
<span id="L433" class="LineNr">433 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L434" class="LineNr">434 </span>  <span class="Delimiter">{</span>
<span id="L435" class="LineNr">435 </span>    compare dp, <span class="Constant">0</span>
<span id="L436" class="LineNr">436 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L437" class="LineNr">437 </span>    <a href='412print-float-decimal.mu.html#L481'>_write-float-array-of-decimal-digits-in-scientific-notation</a> out, buf, n, dp, precision
<span id="L438" class="LineNr">438 </span>    <span class="PreProc">return</span>
<span id="L439" class="LineNr">439 </span>  <span class="Delimiter">}</span>
<span id="L440" class="LineNr">440 </span>  <span class="Delimiter">{</span>
<span id="L441" class="LineNr">441 </span>    <span class="PreProc">var</span> dp2/eax: int <span class="Special">&lt;-</span> copy dp
<span id="L442" class="LineNr">442 </span>    compare dp2, precision
<span id="L443" class="LineNr">443 </span>    <span class="PreProc">break-if-&lt;=</span>
<span id="L444" class="LineNr">444 </span>    <a href='412print-float-decimal.mu.html#L481'>_write-float-array-of-decimal-digits-in-scientific-notation</a> out, buf, n, dp, precision
<span id="L445" class="LineNr">445 </span>    <span class="PreProc">return</span>
<span id="L446" class="LineNr">446 </span>  <span class="Delimiter">}</span>
<span id="L447" class="LineNr">447 </span>  <span class="Delimiter">{</span>
<span id="L448" class="LineNr">448 </span>    compare dp, <span class="Constant">0</span>
<span id="L449" class="LineNr">449 </span>    <span class="PreProc">break-if-!=</span>
<span id="L450" class="LineNr">450 </span>    <a href='115write-byte.subx.html#L208'>append-byte</a> out, <span class="Constant">0x30</span>/<span class="Constant">0</span>
<span id="L451" class="LineNr">451 </span>  <span class="Delimiter">}</span>
<span id="L452" class="LineNr">452 </span>  <span class="PreProc">var</span> i/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L453" class="LineNr">453 </span>  <span class="muComment"># bounds = min(n, dp+3)</span>
<span id="L454" class="LineNr">454 </span>  <span class="PreProc">var</span> limit/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy dp
<span id="L455" class="LineNr">455 </span>  limit <span class="Special">&lt;-</span> add <span class="Constant">3</span>
<span id="L456" class="LineNr">456 </span>  <span class="Delimiter">{</span>
<span id="L457" class="LineNr">457 </span>    compare limit, n
<span id="L458" class="LineNr">458 </span>    <span class="PreProc">break-if-&lt;=</span>
<span id="L459" class="LineNr">459 </span>    limit <span class="Special">&lt;-</span> copy n
<span id="L460" class="LineNr">460 </span>  <span class="Delimiter">}</span>
<span id="L461" class="LineNr">461 </span>  <span class="Delimiter">{</span>
<span id="L462" class="LineNr">462 </span>    compare i, limit
<span id="L463" class="LineNr">463 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L464" class="LineNr">464 </span>    <span class="muComment"># print '.' if necessary</span>
<span id="L465" class="LineNr">465 </span>    compare i, dp
<span id="L466" class="LineNr">466 </span>    <span class="Delimiter">{</span>
<span id="L467" class="LineNr">467 </span>      <span class="PreProc">break-if-!=</span>
<span id="L468" class="LineNr">468 </span>      <a href='115write-byte.subx.html#L208'>append-byte</a> out, <span class="Constant">0x2e</span>/decimal-point
<span id="L469" class="LineNr">469 </span>    <span class="Delimiter">}</span>
<span id="L470" class="LineNr">470 </span>    <span class="PreProc">var</span> curr-a/<span class="muRegEcx">ecx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, i
<span id="L471" class="LineNr">471 </span>    <span class="PreProc">var</span> curr/<span class="muRegEcx">ecx</span>: byte <span class="Special">&lt;-</span> copy-byte *curr-a
<span id="L472" class="LineNr">472 </span>    <span class="PreProc">var</span> curr-int/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy curr
<span id="L473" class="LineNr">473 </span>    curr-int <span class="Special">&lt;-</span> add <span class="Constant">0x30</span>/<span class="Constant">0</span>
<span id="L474" class="LineNr">474 </span>    <a href='115write-byte.subx.html#L208'>append-byte</a> out, curr-int
<span id="L475" class="LineNr">475 </span>    <span class="muComment">#</span>
<span id="L476" class="LineNr">476 </span>    i <span class="Special">&lt;-</span> increment
<span id="L477" class="LineNr">477 </span>    <span class="PreProc">loop</span>
<span id="L478" class="LineNr">478 </span>  <span class="Delimiter">}</span>
<span id="L479" class="LineNr">479 </span><span class="Delimiter">}</span>
<span id="L480" class="LineNr">480 </span>
<span id="L481" class="LineNr">481 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L481'>_write-float-array-of-decimal-digits-in-scientific-notation</a></span> out: (addr stream byte), _buf: (addr array byte), n: int, dp: int, precision: int <span class="Delimiter">{</span>
<span id="L482" class="LineNr">482 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L483" class="LineNr">483 </span>  <span class="PreProc">var</span> i/eax: int <span class="Special">&lt;-</span> copy <span class="Constant">0</span>
<span id="L484" class="LineNr">484 </span>  <span class="Delimiter">{</span>
<span id="L485" class="LineNr">485 </span>    compare i, n
<span id="L486" class="LineNr">486 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L487" class="LineNr">487 </span>    compare i, precision
<span id="L488" class="LineNr">488 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L489" class="LineNr">489 </span>    compare i, <span class="Constant">1</span>
<span id="L490" class="LineNr">490 </span>    <span class="Delimiter">{</span>
<span id="L491" class="LineNr">491 </span>      <span class="PreProc">break-if-!=</span>
<span id="L492" class="LineNr">492 </span>      <a href='115write-byte.subx.html#L208'>append-byte</a> out, <span class="Constant">0x2e</span>/decimal-point
<span id="L493" class="LineNr">493 </span>    <span class="Delimiter">}</span>
<span id="L494" class="LineNr">494 </span>    <span class="PreProc">var</span> curr-a/<span class="muRegEcx">ecx</span>: (addr byte) <span class="Special">&lt;-</span> index buf, i
<span id="L495" class="LineNr">495 </span>    <span class="PreProc">var</span> curr/<span class="muRegEcx">ecx</span>: byte <span class="Special">&lt;-</span> copy-byte *curr-a
<span id="L496" class="LineNr">496 </span>    <span class="PreProc">var</span> curr-int/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy curr
<span id="L497" class="LineNr">497 </span>    curr-int <span class="Special">&lt;-</span> add <span class="Constant">0x30</span>/<span class="Constant">0</span>
<span id="L498" class="LineNr">498 </span>    <a href='115write-byte.subx.html#L208'>append-byte</a> out, curr-int
<span id="L499" class="LineNr">499 </span>    <span class="muComment">#</span>
<span id="L500" class="LineNr">500 </span>    i <span class="Special">&lt;-</span> increment
<span id="L501" class="LineNr">501 </span>    <span class="PreProc">loop</span>
<span id="L502" class="LineNr">502 </span>  <span class="Delimiter">}</span>
<span id="L503" class="LineNr">503 </span>  <a href='115write-byte.subx.html#L208'>append-byte</a> out, <span class="Constant">0x65</span>/e
<span id="L504" class="LineNr">504 </span>  decrement dp
<span id="L505" class="LineNr">505 </span>  <a href='126write-int-decimal.subx.html#L8'>write-int32-decimal</a> out, dp
<span id="L506" class="LineNr">506 </span><span class="Delimiter">}</span>
<span id="L507" class="LineNr">507 </span>
<span id="L508" class="LineNr">508 </span><span class="muComment"># follows the structure of write-float-decimal-approximate</span>
<span id="L509" class="LineNr">509 </span><span class="muComment"># 'precision' controls the maximum width past which we resort to scientific notation</span>
<span id="L510" class="LineNr">510 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L510'>float-size</a></span> in: float, precision: int<span class="PreProc"> -&gt; </span>_/eax: int <span class="Delimiter">{</span>
<span id="L511" class="LineNr">511 </span>  <span class="muComment"># - special names</span>
<span id="L512" class="LineNr">512 </span>  <span class="PreProc">var</span> bits/eax: int <span class="Special">&lt;-</span> reinterpret in
<span id="L513" class="LineNr">513 </span>  compare bits, <span class="Constant">0</span>
<span id="L514" class="LineNr">514 </span>  <span class="Delimiter">{</span>
<span id="L515" class="LineNr">515 </span>    <span class="PreProc">break-if-!=</span>
<span id="L516" class="LineNr">516 </span>    <span class="PreProc">return</span> <span class="Constant">1</span>  <span class="muComment"># for &quot;0&quot;</span>
<span id="L517" class="LineNr">517 </span>  <span class="Delimiter">}</span>
<span id="L518" class="LineNr">518 </span>  compare bits, <span class="Constant">0x80000000</span>
<span id="L519" class="LineNr">519 </span>  <span class="Delimiter">{</span>
<span id="L520" class="LineNr">520 </span>    <span class="PreProc">break-if-!=</span>
<span id="L521" class="LineNr">521 </span>    <span class="PreProc">return</span> <span class="Constant">2</span>  <span class="muComment"># for &quot;-0&quot;</span>
<span id="L522" class="LineNr">522 </span>  <span class="Delimiter">}</span>
<span id="L523" class="LineNr">523 </span>  compare bits, <span class="Constant">0x7f800000</span>
<span id="L524" class="LineNr">524 </span>  <span class="Delimiter">{</span>
<span id="L525" class="LineNr">525 </span>    <span class="PreProc">break-if-!=</span>
<span id="L526" class="LineNr">526 </span>    <span class="PreProc">return</span> <span class="Constant">3</span>  <span class="muComment"># for &quot;Inf&quot;</span>
<span id="L527" class="LineNr">527 </span>  <span class="Delimiter">}</span>
<span id="L528" class="LineNr">528 </span>  compare bits, <span class="Constant">0xff800000</span>
<span id="L529" class="LineNr">529 </span>  <span class="Delimiter">{</span>
<span id="L530" class="LineNr">530 </span>    <span class="PreProc">break-if-!=</span>
<span id="L531" class="LineNr">531 </span>    <span class="PreProc">return</span> <span class="Constant">4</span>  <span class="muComment"># for &quot;-Inf&quot;</span>
<span id="L532" class="LineNr">532 </span>  <span class="Delimiter">}</span>
<span id="L533" class="LineNr">533 </span>  <span class="PreProc">var</span> exponent/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy bits
<span id="L534" class="LineNr">534 </span>  exponent <span class="Special">&lt;-</span> shift-right <span class="Constant">0x17</span>  <span class="muComment"># 23 bits of mantissa</span>
<span id="L535" class="LineNr">535 </span>  exponent <span class="Special">&lt;-</span> and <span class="Constant">0xff</span>
<span id="L536" class="LineNr">536 </span>  exponent <span class="Special">&lt;-</span> subtract <span class="Constant">0x7f</span>
<span id="L537" class="LineNr">537 </span>  compare exponent, <span class="Constant">0x80</span>
<span id="L538" class="LineNr">538 </span>  <span class="Delimiter">{</span>
<span id="L539" class="LineNr">539 </span>    <span class="PreProc">break-if-!=</span>
<span id="L540" class="LineNr">540 </span>    <span class="PreProc">return</span> <span class="Constant">3</span>  <span class="muComment"># for &quot;NaN&quot;</span>
<span id="L541" class="LineNr">541 </span>  <span class="Delimiter">}</span>
<span id="L542" class="LineNr">542 </span>  <span class="muComment"># - regular numbers</span>
<span id="L543" class="LineNr">543 </span>  <span class="muComment"># v = 1.mantissa (in base 2) &lt;&lt; 0x17</span>
<span id="L544" class="LineNr">544 </span>  <span class="PreProc">var</span> v/<span class="muRegEbx">ebx</span>: int <span class="Special">&lt;-</span> copy bits
<span id="L545" class="LineNr">545 </span>  v <span class="Special">&lt;-</span> and <span class="Constant">0x7fffff</span>
<span id="L546" class="LineNr">546 </span>  v <span class="Special">&lt;-</span> or <span class="Constant">0x00800000</span>  <span class="muComment"># insert implicit 1</span>
<span id="L547" class="LineNr">547 </span>  <span class="muComment"># e = exponent - 0x17</span>
<span id="L548" class="LineNr">548 </span>  <span class="PreProc">var</span> e/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy exponent
<span id="L549" class="LineNr">549 </span>  e <span class="Special">&lt;-</span> subtract <span class="Constant">0x17</span>  <span class="muComment"># move decimal place from before mantissa to after</span>
<span id="L550" class="LineNr">550 </span>
<span id="L551" class="LineNr">551 </span>  <span class="muComment"># initialize buffer with decimal representation of v</span>
<span id="L552" class="LineNr">552 </span>  <span class="PreProc">var</span> buf-storage: (array byte <span class="Constant">0x7f</span>)
<span id="L553" class="LineNr">553 </span>  <span class="PreProc">var</span> buf/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> address buf-storage
<span id="L554" class="LineNr">554 </span>  <span class="PreProc">var</span> n/eax: int <span class="Special">&lt;-</span> <a href='412print-float-decimal.mu.html#L247'>decimal-digits</a> v, buf
<span id="L555" class="LineNr">555 </span>  <a href='412print-float-decimal.mu.html#L264'>reverse-digits</a> buf, n
<span id="L556" class="LineNr">556 </span>
<span id="L557" class="LineNr">557 </span>  <span class="muComment"># loop if e &gt; 0</span>
<span id="L558" class="LineNr">558 </span>  <span class="Delimiter">{</span>
<span id="L559" class="LineNr">559 </span>    compare e, <span class="Constant">0</span>
<span id="L560" class="LineNr">560 </span>    <span class="PreProc">break-if-&lt;=</span>
<span id="L561" class="LineNr">561 </span>    n <span class="Special">&lt;-</span> <a href='412print-float-decimal.mu.html#L307'>double-array-of-decimal-digits</a> buf, n
<span id="L562" class="LineNr">562 </span>    e <span class="Special">&lt;-</span> decrement
<span id="L563" class="LineNr">563 </span>    <span class="PreProc">loop</span>
<span id="L564" class="LineNr">564 </span>  <span class="Delimiter">}</span>
<span id="L565" class="LineNr">565 </span>
<span id="L566" class="LineNr">566 </span>  <span class="PreProc">var</span> dp/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> copy n
<span id="L567" class="LineNr">567 </span>
<span id="L568" class="LineNr">568 </span>  <span class="muComment"># loop if e &lt; 0</span>
<span id="L569" class="LineNr">569 </span>  <span class="Delimiter">{</span>
<span id="L570" class="LineNr">570 </span>    compare e, <span class="Constant">0</span>
<span id="L571" class="LineNr">571 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L572" class="LineNr">572 </span>    n, dp <span class="Special">&lt;-</span> <a href='412print-float-decimal.mu.html#L358'>halve-array-of-decimal-digits</a> buf, n, dp
<span id="L573" class="LineNr">573 </span>    e <span class="Special">&lt;-</span> increment
<span id="L574" class="LineNr">574 </span>    <span class="PreProc">loop</span>
<span id="L575" class="LineNr">575 </span>  <span class="Delimiter">}</span>
<span id="L576" class="LineNr">576 </span>
<span id="L577" class="LineNr">577 </span>  compare dp, <span class="Constant">0</span>
<span id="L578" class="LineNr">578 </span>  <span class="Delimiter">{</span>
<span id="L579" class="LineNr">579 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L580" class="LineNr">580 </span>    <span class="PreProc">return</span> <span class="Constant">8</span>  <span class="muComment"># hacky for scientific notation</span>
<span id="L581" class="LineNr">581 </span>  <span class="Delimiter">}</span>
<span id="L582" class="LineNr">582 </span>  <span class="Delimiter">{</span>
<span id="L583" class="LineNr">583 </span>    <span class="PreProc">var</span> dp2/eax: int <span class="Special">&lt;-</span> copy dp
<span id="L584" class="LineNr">584 </span>    compare dp2, precision
<span id="L585" class="LineNr">585 </span>    <span class="PreProc">break-if-&lt;=</span>
<span id="L586" class="LineNr">586 </span>    <span class="PreProc">return</span> <span class="Constant">8</span>  <span class="muComment"># hacky for scientific notation</span>
<span id="L587" class="LineNr">587 </span>  <span class="Delimiter">}</span>
<span id="L588" class="LineNr">588 </span>
<span id="L589" class="LineNr">589 </span>  <span class="muComment"># result = min(n, dp+3)</span>
<span id="L590" class="LineNr">590 </span>  <span class="PreProc">var</span> result/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> copy dp
<span id="L591" class="LineNr">591 </span>  result <span class="Special">&lt;-</span> add <span class="Constant">3</span>
<span id="L592" class="LineNr">592 </span>  <span class="Delimiter">{</span>
<span id="L593" class="LineNr">593 </span>    compare result, n
<span id="L594" class="LineNr">594 </span>    <span class="PreProc">break-if-&lt;=</span>
<span id="L595" class="LineNr">595 </span>    result <span class="Special">&lt;-</span> copy n
<span id="L596" class="LineNr">596 </span>  <span class="Delimiter">}</span>
<span id="L597" class="LineNr">597 </span>
<span id="L598" class="LineNr">598 </span>  <span class="muComment"># account for decimal point</span>
<span id="L599" class="LineNr">599 </span>  compare dp, n
<span id="L600" class="LineNr">600 </span>  <span class="Delimiter">{</span>
<span id="L601" class="LineNr">601 </span>    <span class="PreProc">break-if-&gt;=</span>
<span id="L602" class="LineNr">602 </span>    result <span class="Special">&lt;-</span> increment
<span id="L603" class="LineNr">603 </span>  <span class="Delimiter">}</span>
<span id="L604" class="LineNr">604 </span>
<span id="L605" class="LineNr">605 </span>  <span class="muComment"># account for sign</span>
<span id="L606" class="LineNr">606 </span>  <span class="PreProc">var</span> sign/<span class="muRegEdx">edx</span>: int <span class="Special">&lt;-</span> reinterpret in
<span id="L607" class="LineNr">607 </span>  sign <span class="Special">&lt;-</span> shift-right <span class="Constant">0x1f</span>
<span id="L608" class="LineNr">608 </span>  <span class="Delimiter">{</span>
<span id="L609" class="LineNr">609 </span>    compare sign, <span class="Constant">1</span>
<span id="L610" class="LineNr">610 </span>    <span class="PreProc">break-if-!=</span>
<span id="L611" class="LineNr">611 </span>    result <span class="Special">&lt;-</span> increment
<span id="L612" class="LineNr">612 </span>  <span class="Delimiter">}</span>
<span id="L613" class="LineNr">613 </span>  <span class="PreProc">return</span> result
<span id="L614" class="LineNr">614 </span><span class="Delimiter">}</span>
<span id="L615" class="LineNr">615 </span>
<span id="L616" class="LineNr">616 </span><span class="muComment">## helper</span>
<span id="L617" class="LineNr">617 </span>
<span id="L618" class="LineNr">618 </span><span class="muComment"># like check-strings-equal, except array sizes don't have to match</span>
<span id="L619" class="LineNr">619 </span><span class="PreProc">fn</span> <span class="muFunction"><a href='412print-float-decimal.mu.html#L619'>check-buffer-contains</a></span> _buf: (addr array byte), _contents: (addr array byte), msg: (addr array byte) <span class="Delimiter">{</span>
<span id="L620" class="LineNr">620 </span>  <span class="PreProc">var</span> buf/<span class="muRegEsi">esi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _buf
<span id="L621" class="LineNr">621 </span>  <span class="PreProc">var</span> contents/<span class="muRegEdi">edi</span>: (addr array byte) <span class="Special">&lt;-</span> copy _contents
<span id="L622" class="LineNr">622 </span>  <span class="PreProc">var</span> a/eax: boolean <span class="Special">&lt;-</span> <a href='105string-equal.subx.html#L57'>string-starts-with?</a> buf, contents
<span id="L623" class="LineNr">623 </span>  <a href='401test.mu.html#L3'>check</a> a, msg
<span id="L624" class="LineNr">624 </span>  <span class="PreProc">var</span> len/<span class="muRegEcx">ecx</span>: int <span class="Special">&lt;-</span> length contents
<span id="L625" class="LineNr">625 </span>  <span class="PreProc">var</span> len2/eax: int <span class="Special">&lt;-</span> length buf
<span id="L626" class="LineNr">626 </span>  compare len, len2
<span id="L627" class="LineNr">627 </span>  <span class="PreProc">break-if-=</span>
<span id="L628" class="LineNr">628 </span>  <span class="PreProc">var</span> c/eax: (addr byte) <span class="Special">&lt;-</span> index buf, len
<span id="L629" class="LineNr">629 </span>  <span class="PreProc">var</span> d/eax: byte <span class="Special">&lt;-</span> copy-byte *c
<span id="L630" class="LineNr">630 </span>  <span class="PreProc">var</span> e/eax: int <span class="Special">&lt;-</span> copy d
<span id="L631" class="LineNr">631 </span>  <a href='102test.subx.html#L23'>check-ints-equal</a> e, <span class="Constant">0</span>, msg
<span id="L632" class="LineNr">632 </span><span class="Delimiter">}</span>
<span id="L633" class="LineNr">633 </span>
<span id="L634" class="LineNr">634 </span><span class="PreProc">fn</span> <span class="muTest"><a href='412print-float-decimal.mu.html#L634'>test-check-buffer-contains</a></span> <span class="Delimiter">{</span>
<span id="L635" class="LineNr">635 </span>  <span class="PreProc">var</span> arr: (array byte <span class="Constant">4</span>)
<span id="L636" class="LineNr">636 </span>  <span class="PreProc">var</span> a/<span class="muRegEsi">esi</span>: (addr array byte) <span class="Special">&lt;-</span> address arr
<span id="L637" class="LineNr">637 </span>  <span class="PreProc">var</span> b/eax: (addr byte) <span class="Special">&lt;-</span> index a, <span class="Constant">0</span>
<span id="L638" class="LineNr">638 </span>  <span class="PreProc">var</span> c/<span class="muRegEcx">ecx</span>: byte <span class="Special">&lt;-</span> copy <span class="Constant">0x61</span>/a
<span id="L639" class="LineNr">639 </span>  copy-byte-to *b, c
<span id="L640" class="LineNr">640 </span>  <a href='412print-float-decimal.mu.html#L619'>check-buffer-contains</a> a, <span class="Constant">&quot;a&quot;</span>, <span class="Constant">&quot;F - test-check-buffer-contains&quot;</span>
<span id="L641" class="LineNr">641 </span>  <a href='412print-float-decimal.mu.html#L619'>check-buffer-contains</a> <span class="Constant">&quot;a&quot;</span>, <span class="Constant">&quot;a&quot;</span>, <span class="Constant">&quot;F - <a href='412print-float-decimal.mu.html#L634'>test-check-buffer-contains</a>/null&quot;</span>  <span class="muComment"># no null check when arrays have same length</span>
<span id="L642" class="LineNr">642 </span><span class="Delimiter">}</span>
</pre>
</body>
</html>
<!-- vim: set foldmethod=manual : -->