Changeset 9084 in project


Ignore:
Timestamp:
02/28/08 08:30:10 (13 years ago)
Author:
felix winkelmann
Message:

cleanup, added current ling

Files:
1 added
2 deleted
1 edited

Legend:

Unmodified
Added
Removed

  • release/3/mathh/tags/1.11/mathh.html

    r8597 r9084  
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    146 <body>
    147 <div id="header">
    148 <h2>mathh</h2>
    149 <div id="eggheader"><a href="index.html">
    150 <img src="egg.jpg" alt="[Picture of an egg]" /></a></div></div>
    151 <div id="body">
    152 <div class="section">
    153 <h3>Description</h3>
    154 <p>Provides:</p>
    155 <ul>
    156 <li>* access to ISO C math functions in <code>&lt;math.h&gt;</code> that are not defined by Chicken.</li>
    157 <li>* <code>&lt;float.h&gt;</code> constants, common derived constants, and limits for Chicken numeric types.</li>
    158 <li>* R6RS arithmetic functions.</li></ul></div>
    159 <div class="section">
    160 <h3>Author</h3>John Cowan and Kon Lovett</div>
    161 <div class="section">
    162 <h3>Usage</h3><tt>(require-extension mathh)</tt></div>
    163 <div class="section">
    164 <h3>Download</h3><a href="mathh.egg">mathh.egg</a></div>
    165 <div class="section">
    166 <h3>Documentation</h3>
    167 <div class="subsection">
    168 <h4>Floating-point Functions</h4>
    169 <p>The following procedures are provided, with their usual meaning.</p>
    170 <p>Windows does not provide native implementations of log1p, lgamma, tgamma. However log1p is approximated.</p>
    171 <p>The Bessel functions are prefixed by 'bessel-' to distinguish the names from common variables.</p>
    172 <dt class="definition"><strong>procedure:</strong> (bessel-j0 N)</dt>
    173 <dd></dd>
    174 <dt class="definition"><strong>procedure:</strong> (bessel-j1 N)</dt>
    175 <dd></dd>
    176 <dt class="definition"><strong>procedure:</strong> (bessel-jn O N)</dt>
    177 <dd></dd>
    178 <dt class="definition"><strong>procedure:</strong> (bessel-y0 N)</dt>
    179 <dd></dd>
    180 <dt class="definition"><strong>procedure:</strong> (bessel-y1 N)</dt>
    181 <dd></dd>
    182 <dt class="definition"><strong>procedure:</strong> (bessel-yn O N)</dt>
    183 <dd></dd>
    184 <dt class="definition"><strong>procedure:</strong> (cosh N)</dt>
    185 <dd></dd>
    186 <dt class="definition"><strong>procedure:</strong> (sinh N)</dt>
    187 <dd></dd>
    188 <dt class="definition"><strong>procedure:</strong> (tanh N)</dt>
    189 <dd></dd>
    190 <dt class="definition"><strong>procedure:</strong> (hypot N1 N2)</dt>
    191 <dd></dd>
    192 <dt class="definition"><strong>procedure:</strong> (gamma N)</dt>
    193 <dd></dd>
    194 <dt class="definition"><strong>procedure:</strong> (lgamma N)</dt>
    195 <dd></dd>
    196 <dt class="definition"><strong>procedure:</strong> (log10 N)</dt>
    197 <dd></dd>
    198 <dt class="definition"><strong>procedure:</strong> (log2 N)</dt>
    199 <dd></dd>
    200 <dt class="definition"><strong>procedure:</strong> (log1p N)</dt>
    201 <dd></dd>
    202 <dt class="definition"><strong>procedure:</strong> (make-log/base BASE)</dt>
    203 <dd>
    204 <p>Returns a procedure of one argument, the logarithm function for <tt>BASE</tt>.</p></dd>
    205 <dt class="definition"><strong>procedure:</strong> (ldexp N)</dt>
    206 <dd></dd>
    207 <dt class="definition"><strong>procedure:</strong> (scalbn N)</dt>
    208 <dd></dd>
    209 <dt class="definition"><strong>procedure:</strong> (fpmod N M)</dt>
    210 <dd>
    211 <p>Returns the modulus of <tt>N</tt> for <tt>M</tt>.</p></dd>
    212 <dt class="definition"><strong>procedure:</strong> (modf N)</dt>
    213 <dd>
    214 <p>Returns two values, the integral and fractional part of <tt>N</tt>.</p></dd>
    215 <dt class="definition"><strong>procedure:</strong> (frexp N)</dt>
    216 <dd>
    217 <p>Returns two values, the fraction and the exponent part of <tt>N</tt>.</p></dd></div>
    218 <div class="subsection">
    219 <h4>Float Classification</h4>
    220 <div class="section">
    221 <h3>Usage</h3>(require-extension matth-fpclass)</div>
    222 <dt class="definition"><strong>procedure:</strong> (fpclassify N)</dt>
    223 <dd>
    224 <p>Returns a symbol denoting the kind of floating-point number.</p><table class="symbol-table">Float Class
    225 <tr>
    226 <td class="symbol">infinite</td>
    227 <td></td></tr>
    228 <tr>
    229 <td class="symbol">nan</td>
    230 <td></td></tr>
    231 <tr>
    232 <td class="symbol">normal</td>
    233 <td></td></tr>
    234 <tr>
    235 <td class="symbol">subnormal</td>
    236 <td></td></tr>
    237 <tr>
    238 <td class="symbol">zero</td>
    239 <td></td></tr>
    240 <tr>
    241 <td class="symbol">unclassified</td>
    242 <td></td></tr></table></dd>
    243 <dt class="definition"><strong>procedure:</strong> (fpclass N)</dt>
    244 <dd>
    245 <p>Returns a symbol denoting the kind of floating-point number.</p><table class="symbol-table">Float Class
    246 <tr>
    247 <td class="symbol">positive-infinite</td>
    248 <td></td></tr>
    249 <tr>
    250 <td class="symbol">negative-infinite</td>
    251 <td></td></tr>
    252 <tr>
    253 <td class="symbol">quiet-nan</td>
    254 <td></td></tr>
    255 <tr>
    256 <td class="symbol">signaling-nan</td>
    257 <td></td></tr>
    258 <tr>
    259 <td class="symbol">positive-normal</td>
    260 <td></td></tr>
    261 <tr>
    262 <td class="symbol">negative-normal</td>
    263 <td></td></tr>
    264 <tr>
    265 <td class="symbol">positive-subnormal</td>
    266 <td></td></tr>
    267 <tr>
    268 <td class="symbol">negative-subnormal</td>
    269 <td></td></tr>
    270 <tr>
    271 <td class="symbol">positive-zero</td>
    272 <td></td></tr>
    273 <tr>
    274 <td class="symbol">negative-zero</td>
    275 <td></td></tr>
    276 <tr>
    277 <td class="symbol">unclassified</td>
    278 <td></td></tr></table></dd></div>
    279 <div class="subsection">
    280 <h4>Integer Constants</h4>
    281 <div class="section">
    282 <h3>Usage</h3>(require-extension matth-int)</div><table class="symbol-table">
    283 <tr>
    284 <td class="symbol">most-positive-fixnum</td>
    285 <td>Largest positive fixnum</td></tr>
    286 <tr>
    287 <td class="symbol">most-negative-fixnum</td>
    288 <td>Smallest negative fixnum</td></tr>
    289 <tr>
    290 <td class="symbol">fixnum-precision</td>
    291 <td>Number of bits in fixnum</td></tr>
    292 <tr>
    293 <td class="symbol">machine-word-bits</td>
    294 <td>Number of bits in machine word - C_word</td></tr>
    295 <tr>
    296 <td class="symbol">maximum-machine-word</td>
    297 <td>Largest machine word value - C_uword</td></tr>
    298 <tr>
    299 <td class="symbol">most-negative-machine-word</td>
    300 <td>Smallest negative machine word value - C_word</td></tr>
    301 <tr>
    302 <td class="symbol">most-positive-machine-word</td>
    303 <td>Largest positive machine word value - C_word</td></tr>
    304 <tr>
    305 <td class="symbol">unsigned-integer32-size</td>
    306 <td>Sizeof uint32_t</td></tr>
    307 <tr>
    308 <td class="symbol">maximum-unsigned-integer32</td>
    309 <td>Largest value for uint32_t</td></tr>
    310 <tr>
    311 <td class="symbol">unsigned-char-size</td>
    312 <td>Sizeof the C type</td></tr>
    313 <tr>
    314 <td class="symbol">unsigned-short-size</td>
    315 <td>Sizeof the C type</td></tr>
    316 <tr>
    317 <td class="symbol">unsigned-int-size</td>
    318 <td>Sizeof the C type</td></tr>
    319 <tr>
    320 <td class="symbol">unsigned-long-size</td>
    321 <td>Sizeof the C type</td></tr>
    322 <tr>
    323 <td class="symbol">unsigned-long-long-size</td>
    324 <td>Sizeof the C type, 0 when unsupported</td></tr>
    325 <tr>
    326 <td class="symbol">char-size</td>
    327 <td>Sizeof the C type</td></tr>
    328 <tr>
    329 <td class="symbol">short-size</td>
    330 <td>Sizeof the C type</td></tr>
    331 <tr>
    332 <td class="symbol">int-size</td>
    333 <td>Sizeof the C type</td></tr>
    334 <tr>
    335 <td class="symbol">long-size</td>
    336 <td>Sizeof the C type</td></tr>
    337 <tr>
    338 <td class="symbol">long-long-size</td>
    339 <td>Sizeof the C type, 0 when unsupported</td></tr></table></div>
    340 <div class="subsection">
    341 <h4>Floating-point Constants</h4>
    342 <div class="section">
    343 <h3>Usage</h3>(require-extension matth-float)</div><table class="symbol-table">
    344 <tr>
    345 <td class="symbol">float-radix</td>
    346 <td>Representation base of floating point number</td></tr>
    347 <tr>
    348 <td class="symbol">maximum-float</td>
    349 <td>Largest floating point number</td></tr>
    350 <tr>
    351 <td class="symbol">minimum-float</td>
    352 <td>Smallest floating point number</td></tr>
    353 <tr>
    354 <td class="symbol">float-epsilon</td>
    355 <td>The difference between 1.0 and the least value &gt; 1.0 of a floating point number</td></tr>
    356 <tr>
    357 <td class="symbol">float-precision</td>
    358 <td>Number of digits in mantissa base radix of floating point number</td></tr>
    359 <tr>
    360 <td class="symbol">float-decimal-precision</td>
    361 <td>Number of digits in mantissa base 10 of floating point number</td></tr>
    362 <tr>
    363 <td class="symbol">float-maximum-exponent</td>
    364 <td>Largest exponent in base radix of floating point number</td></tr>
    365 <tr>
    366 <td class="symbol">float-minimum-exponent</td>
    367 <td>Smallest exponent in base radix of floating point number</td></tr>
    368 <tr>
    369 <td class="symbol">float-maximum-decimal-exponent</td>
    370 <td>Largest exponent in base 10 of floating point number</td></tr>
    371 <tr>
    372 <td class="symbol">float-minimum-decimal-exponent</td>
    373 <td>Smallest exponent in base 10 of floating point number</td></tr>
    374 <tr>
    375 <td class="symbol">maximum-double</td>
    376 <td>Largest floating point number</td></tr>
    377 <tr>
    378 <td class="symbol">minimum-double</td>
    379 <td>Smallest floating point number</td></tr>
    380 <tr>
    381 <td class="symbol">double-epsilon</td>
    382 <td>The difference between 1.0 and the least value &gt; 1.0 of a floating point number</td></tr>
    383 <tr>
    384 <td class="symbol">double-precision</td>
    385 <td>Number of digits in mantissa base radix of floating point number</td></tr>
    386 <tr>
    387 <td class="symbol">double-decimal-precision</td>
    388 <td>Number of digits in mantissa base 10 of floating point number</td></tr>
    389 <tr>
    390 <td class="symbol">double-maximum-exponent</td>
    391 <td>Largest exponent in base radix of floating point number</td></tr>
    392 <tr>
    393 <td class="symbol">double-minimum-exponent</td>
    394 <td>Smallest exponent in base radix of floating point number</td></tr>
    395 <tr>
    396 <td class="symbol">double-maximum-decimal-exponent</td>
    397 <td>Largest exponent in base 10 of floating point number</td></tr>
    398 <tr>
    399 <td class="symbol">double-minimum-decimal-exponent</td>
    400 <td>Smallest exponent in base 10 of floating point number</td></tr>
    401 <tr>
    402 <td class="symbol">maximum-long-double</td>
    403 <td>Largest floating point number</td></tr>
    404 <tr>
    405 <td class="symbol">minimum-long-double</td>
    406 <td>Smallest floating point number</td></tr>
    407 <tr>
    408 <td class="symbol">long-double-epsilon</td>
    409 <td>The difference between 1.0 and the least value &gt; 1.0 of a floating point number</td></tr>
    410 <tr>
    411 <td class="symbol">long-double-precision</td>
    412 <td>Number of digits in mantissa base radix of floating point number</td></tr>
    413 <tr>
    414 <td class="symbol">long-double-decimal-precision</td>
    415 <td>Number of digits in mantissa base 10 of floating point number</td></tr>
    416 <tr>
    417 <td class="symbol">long-double-maximum-exponent</td>
    418 <td>Largest exponent in base radix of floating point number</td></tr>
    419 <tr>
    420 <td class="symbol">long-double-minimum-exponent</td>
    421 <td>Smallest exponent in base radix of floating point number</td></tr>
    422 <tr>
    423 <td class="symbol">long-double-maximum-decimal-exponent</td>
    424 <td>Largest exponent in base 10 of floating point number</td></tr>
    425 <tr>
    426 <td class="symbol">long-double-minimum-decimal-exponent</td>
    427 <td>Smallest exponent in base 10 of floating point number</td></tr>
    428 <tr>
    429 <td class="symbol">long-double-radix</td>
    430 <td>Representation base of floating point number</td></tr>
    431 <tr>
    432 <td class="symbol">maximum-flonum</td>
    433 <td>Largest floating point number</td></tr>
    434 <tr>
    435 <td class="symbol">minimum-flonum</td>
    436 <td>Smallest floating point number</td></tr>
    437 <tr>
    438 <td class="symbol">flonum-epsilon</td>
    439 <td>The difference between 1.0 and the least value &gt; 1.0 of a floating point number</td></tr>
    440 <tr>
    441 <td class="symbol">flonum-precision</td>
    442 <td>Number of digits in mantissa base radix of floating point number</td></tr>
    443 <tr>
    444 <td class="symbol">flonum-decimal-precision</td>
    445 <td>Number of digits in mantissa base 10 of floating point number</td></tr>
    446 <tr>
    447 <td class="symbol">flonum-maximum-exponent</td>
    448 <td>Largest exponent in base radix of floating point number</td></tr>
    449 <tr>
    450 <td class="symbol">flonum-minimum-exponent</td>
    451 <td>Smallest exponent in base radix of floating point number</td></tr>
    452 <tr>
    453 <td class="symbol">flonum-maximum-decimal-exponent</td>
    454 <td>Largest exponent in base 10 of floating point number</td></tr>
    455 <tr>
    456 <td class="symbol">flonum-minimum-decimal-exponent</td>
    457 <td>Smallest exponent in base 10 of floating point number</td></tr></table></div>
    458 <div class="subsection">
    459 <h4>Math Constants</h4>
    460 <div class="section">
    461 <h3>Usage</h3>(include &quot;mathh-constants&quot;)</div>
    462 <p>Common constants, using 'define-constant'. As such they must be textually included.</p><table class="symbol-table">
    463 <tr>
    464 <td class="symbol">E</td>
    465 <td>e</td></tr>
    466 <tr>
    467 <td class="symbol">1/E</td>
    468 <td>1/e</td></tr>
    469 <tr>
    470 <td class="symbol">E^2</td>
    471 <td>e^2</td></tr>
    472 <tr>
    473 <td class="symbol">E^PI/4</td>
    474 <td>e^(pi/4)</td></tr>
    475 <tr>
    476 <td class="symbol">LOG2E</td>
    477 <td>log2(e)</td></tr>
    478 <tr>
    479 <td class="symbol">LOG10E</td>
    480 <td>log10(e)</td></tr>
    481 <tr>
    482 <td class="symbol">LN2</td>
    483 <td>log(2)</td></tr>
    484 <tr>
    485 <td class="symbol">LN3</td>
    486 <td>ln(3)</td></tr>
    487 <tr>
    488 <td class="symbol">LNPI</td>
    489 <td>ln(pi)</td></tr>
    490 <tr>
    491 <td class="symbol">LN10</td>
    492 <td>log(10)</td></tr>
    493 <tr>
    494 <td class="symbol">1/LN2</td>
    495 <td>1/ln(2)</td></tr>
    496 <tr>
    497 <td class="symbol">1/LN10</td>
    498 <td>1/ln(10)</td></tr>
    499 <tr>
    500 <td class="symbol">PI</td>
    501 <td>pi</td></tr>
    502 <tr>
    503 <td class="symbol">PI/2</td>
    504 <td>pi/2</td></tr>
    505 <tr>
    506 <td class="symbol">PI/4</td>
    507 <td>pi/4</td></tr>
    508 <tr>
    509 <td class="symbol">1/PI</td>
    510 <td>1/pi</td></tr>
    511 <tr>
    512 <td class="symbol">2/PI</td>
    513 <td>2/pi</td></tr>
    514 <tr>
    515 <td class="symbol">2/SQRTPI</td>
    516 <td>2/sqrt(pi)</td></tr>
    517 <tr>
    518 <td class="symbol">SQRTPI</td>
    519 <td>sqrt(pi)</td></tr>
    520 <tr>
    521 <td class="symbol">PI^2</td>
    522 <td>pi^2</td></tr>
    523 <tr>
    524 <td class="symbol">DEGREE</td>
    525 <td>pi/180</td></tr>
    526 <tr>
    527 <td class="symbol">SQRT2</td>
    528 <td>sqrt(2)</td></tr>
    529 <tr>
    530 <td class="symbol">1/SQRT2</td>
    531 <td>1/sqrt(2)</td></tr>
    532 <tr>
    533 <td class="symbol">SQRT3</td>
    534 <td>sqrt(3)</td></tr>
    535 <tr>
    536 <td class="symbol">SQRT5</td>
    537 <td>sqrt(5)</td></tr>
    538 <tr>
    539 <td class="symbol">SQRT10</td>
    540 <td>sqrt(10)</td></tr>
    541 <tr>
    542 <td class="symbol">CUBERT2</td>
    543 <td>cubert(2)</td></tr>
    544 <tr>
    545 <td class="symbol">CUBERT3</td>
    546 <td>cubert(3)</td></tr>
    547 <tr>
    548 <td class="symbol">4THRT2</td>
    549 <td>fourthrt(2)</td></tr>
    550 <tr>
    551 <td class="symbol">GAMMA1/2</td>
    552 <td>gamma(1/2)</td></tr>
    553 <tr>
    554 <td class="symbol">GAMMA1/3</td>
    555 <td>gamma(1/3)</td></tr>
    556 <tr>
    557 <td class="symbol">GAMMA2/3</td>
    558 <td>gamma(2/3)</td></tr>
    559 <tr>
    560 <td class="symbol">PHI</td>
    561 <td>phi</td></tr>
    562 <tr>
    563 <td class="symbol">LNPHI</td>
    564 <td>ln(phi)</td></tr>
    565 <tr>
    566 <td class="symbol">1/LNPHI</td>
    567 <td>1/ln(phi)</td></tr>
    568 <tr>
    569 <td class="symbol">EULER</td>
    570 <td>euler</td></tr>
    571 <tr>
    572 <td class="symbol">E^EULER</td>
    573 <td>e^euler</td></tr>
    574 <tr>
    575 <td class="symbol">SIN1</td>
    576 <td>sin(1)</td></tr>
    577 <tr>
    578 <td class="symbol">COS1</td>
    579 <td>cos(1)</td></tr>
    580 <tr>
    581 <td class="symbol">ZETA3</td>
    582 <td>theta(3)</td></tr></table></div>
    583 <div class="subsection">
    584 <h4>Fixnum Procedures</h4>
    585 <div class="section">
    586 <h3>Usage</h3>(require-extension fixnum-extras)</div>
    587 <p>R6RS fixnum functions. The &quot;*&quot; prefixed functions are variable arity versions of the built-in Chicken Scheme functions. This naming convention violates R6RS.</p>
    588 <dt class="definition"><strong>procedure:</strong> (fixnum-width)</dt>
    589 <dd>
    590 <p></p></dd>
    591 <dt class="definition"><strong>procedure:</strong> (least-fixnum)</dt>
    592 <dd>
    593 <p></p></dd>
    594 <dt class="definition"><strong>procedure:</strong> (greatest-fixnum)</dt>
    595 <dd>
    596 <p></p></dd>
    597 <dt class="definition"><strong>procedure:</strong> (fx=? FX ...)</dt>
    598 <dd>
    599 <p></p></dd>
    600 <dt class="definition"><strong>procedure:</strong> (fx&lt;? FX ...)</dt>
    601 <dd>
    602 <p></p></dd>
    603 <dt class="definition"><strong>procedure:</strong> (fx&gt;? FX ...)</dt>
    604 <dd>
    605 <p></p></dd>
    606 <dt class="definition"><strong>procedure:</strong> (fx&lt;=? FX ...)</dt>
    607 <dd>
    608 <p></p></dd>
    609 <dt class="definition"><strong>procedure:</strong> (fx&gt;=? FX ...)</dt>
    610 <dd>
    611 <p></p></dd>
    612 <dt class="definition"><strong>procedure:</strong> (fxcompare FX1 FX2)</dt>
    613 <dd>
    614 <p></p></dd>
    615 <dt class="definition"><strong>procedure:</strong> (fxzero? FX)</dt>
    616 <dd>
    617 <p></p></dd>
    618 <dt class="definition"><strong>procedure:</strong> (fxpositive? FX)</dt>
    619 <dd>
    620 <p></p></dd>
    621 <dt class="definition"><strong>procedure:</strong> (fxnegative? FX)</dt>
    622 <dd>
    623 <p></p></dd>
    624 <dt class="definition"><strong>procedure:</strong> (fxodd? FX)</dt>
    625 <dd>
    626 <p></p></dd>
    627 <dt class="definition"><strong>procedure:</strong> (fxeven? FX)</dt>
    628 <dd>
    629 <p></p></dd>
    630 <dt class="definition"><strong>procedure:</strong> (*fxmax FX ...)</dt>
    631 <dd>
    632 <p></p></dd>
    633 <dt class="definition"><strong>procedure:</strong> (*fxmin FX ...)</dt>
    634 <dd>
    635 <p></p></dd>
    636 <dt class="definition"><strong>procedure:</strong> (fxmax-and-min FX ...)</dt>
    637 <dd>
    638 <p></p></dd>
    639 <dt class="definition"><strong>procedure:</strong> (fxmodulo FX-N FX-D)</dt>
    640 <dd>
    641 <p></p></dd>
    642 <dt class="definition"><strong>procedure:</strong> (fxabs FX)</dt>
    643 <dd>
    644 <p></p></dd>
    645 <dt class="definition"><strong>procedure:</strong> (fxpow2log2 FX)</dt>
    646 <dd>
    647 <p></p></dd>
    648 <dt class="definition"><strong>procedure:</strong> (fxdiv FX-N FX-D)</dt>
    649 <dd>
    650 <p></p></dd>
    651 <dt class="definition"><strong>procedure:</strong> (fxdiv-and-mod FX-N FX-D)</dt>
    652 <dd>
    653 <p></p></dd>
    654 <dt class="definition"><strong>procedure:</strong> (fxdiv0 FX-N FX-D)</dt>
    655 <dd>
    656 <p></p></dd>
    657 <dt class="definition"><strong>procedure:</strong> (fxmod0 FX-N FX-D)</dt>
    658 <dd>
    659 <p></p></dd>
    660 <dt class="definition"><strong>procedure:</strong> (fxdiv0-and-mod0 FX-N FX-D)</dt>
    661 <dd>
    662 <p></p></dd>
    663 <dt class="definition"><strong>procedure:</strong> (fx*/carry FX1 FX2 FX3)</dt>
    664 <dd>
    665 <p></p></dd>
    666 <dt class="definition"><strong>procedure:</strong> (fx+/carry FX1 FX2 FX3)</dt>
    667 <dd>
    668 <p></p></dd>
    669 <dt class="definition"><strong>procedure:</strong> (fx-/carry FX1 FX2 FX3)</dt>
    670 <dd>
    671 <p></p></dd>
    672 <dt class="definition"><strong>procedure:</strong> (fxadd1 FX)</dt>
    673 <dd>
    674 <p></p></dd>
    675 <dt class="definition"><strong>procedure:</strong> (fxsub1 FX)</dt>
    676 <dd>
    677 <p></p></dd>
    678 <dt class="definition"><strong>procedure:</strong> (fxquotient FX-N FX-D)</dt>
    679 <dd>
    680 <p></p></dd>
    681 <dt class="definition"><strong>procedure:</strong> (fxremainder FX-N FX-D)</dt>
    682 <dd>
    683 <p></p></dd>
    684 <dt class="definition"><strong>procedure:</strong> (fxarithmetic-shift FX DIRECTIONAL-AMOUNT)</dt>
    685 <dd>
    686 <p></p></dd>
    687 <dt class="definition"><strong>procedure:</strong> (fxarithmetic-shift-left FX AMOUNT)</dt>
    688 <dd>
    689 <p></p></dd>
    690 <dt class="definition"><strong>procedure:</strong> (fxarithmetic-shift-right FX AMOUNT)</dt>
    691 <dd>
    692 <p></p></dd>
    693 <dt class="definition"><strong>procedure:</strong> (*fx- FX [FX2])</dt>
    694 <dd>
    695 <p></p></dd>
    696 <dt class="definition"><strong>procedure:</strong> (*fxand FX ...)</dt>
    697 <dd>
    698 <p></p></dd>
    699 <dt class="definition"><strong>procedure:</strong> (*fxior FX ...)</dt>
    700 <dd>
    701 <p></p></dd>
    702 <dt class="definition"><strong>procedure:</strong> (*fxxor FX ...)</dt>
    703 <dd>
    704 <p></p></dd>
    705 <dt class="definition"><strong>procedure:</strong> (fxif MASK TRUE FALSE)</dt>
    706 <dd>
    707 <p></p></dd>
    708 <dt class="definition"><strong>procedure:</strong> (fxbit-count FX)</dt>
    709 <dd>
    710 <p></p></dd>
    711 <dt class="definition"><strong>procedure:</strong> (fxlength FX)</dt>
    712 <dd>
    713 <p></p></dd>
    714 <dt class="definition"><strong>procedure:</strong> (fxfirst-bit-set FX)</dt>
    715 <dd>
    716 <p></p></dd>
    717 <dt class="definition"><strong>procedure:</strong> (fxlast-bit-set FX)</dt>
    718 <dd>
    719 <p></p></dd>
    720 <dt class="definition"><strong>procedure:</strong> (fxbit-set? FX INDEX)</dt>
    721 <dd>
    722 <p></p></dd>
    723 <dt class="definition"><strong>procedure:</strong> (fxcopy-bit FX INDEX BIT)</dt>
    724 <dd>
    725 <p></p></dd>
    726 <dt class="definition"><strong>procedure:</strong> (fxbit-field FX START END)</dt>
    727 <dd>
    728 <p></p></dd>
    729 <dt class="definition"><strong>procedure:</strong> (fxcopy-bit-field FX-TO START END FX-FROM)</dt>
    730 <dd>
    731 <p></p></dd>
    732 <dt class="definition"><strong>procedure:</strong> (fxrotate-bit-field FX START END COUNT)</dt>
    733 <dd>
    734 <p></p></dd>
    735 <dt class="definition"><strong>procedure:</strong> (fxreverse-bit-field FX START END)</dt>
    736 <dd>
    737 <p></p></dd></div>
    738 <div class="subsection">
    739 <h4>Flonum Procedures</h4>
    740 <div class="section">
    741 <h3>Usage</h3>(require-extension flonum-extras)</div>
    742 <p>R6RS flonum functions.</p>
    743 <dt class="definition"><strong>procedure:</strong> (real-&gt;flonum VALUE)</dt>
    744 <dd>
    745 <p></p></dd>
    746 <dt class="definition"><strong>procedure:</strong> (fixnum-&gt;flonum VALUE)</dt>
    747 <dd>
    748 <p></p></dd>
    749 <dt class="definition"><strong>procedure:</strong> (fl=? FL ...)</dt>
    750 <dd>
    751 <p></p></dd>
    752 <dt class="definition"><strong>procedure:</strong> (fl&lt;? FL ...)</dt>
    753 <dd>
    754 <p></p></dd>
    755 <dt class="definition"><strong>procedure:</strong> (fl&gt;? FL ...)</dt>
    756 <dd>
    757 <p></p></dd>
    758 <dt class="definition"><strong>procedure:</strong> (fl&lt;=? FL ...)</dt>
    759 <dd>
    760 <p></p></dd>
    761 <dt class="definition"><strong>procedure:</strong> (fl&gt;=? FL ...)</dt>
    762 <dd>
    763 <p></p></dd>
    764 <dt class="definition"><strong>procedure:</strong> (flcompare FL1 FL2)</dt>
    765 <dd>
    766 <p></p></dd>
    767 <dt class="definition"><strong>procedure:</strong> (flinteger? FL)</dt>
    768 <dd>
    769 <p></p></dd>
    770 <dt class="definition"><strong>procedure:</strong> (flzero? FL)</dt>
    771 <dd>
    772 <p></p></dd>
    773 <dt class="definition"><strong>procedure:</strong> (flpositive? FL)</dt>
    774 <dd>
    775 <p></p></dd>
    776 <dt class="definition"><strong>procedure:</strong> (flnegative? FL)</dt>
    777 <dd>
    778 <p></p></dd>
    779 <dt class="definition"><strong>procedure:</strong> (flodd? FL)</dt>
    780 <dd>
    781 <p></p></dd>
    782 <dt class="definition"><strong>procedure:</strong> (fleven? FL)</dt>
    783 <dd>
    784 <p></p></dd>
    785 <dt class="definition"><strong>procedure:</strong> (flfinite? FL)</dt>
    786 <dd>
    787 <p></p></dd>
    788 <dt class="definition"><strong>procedure:</strong> (flinfinite? FL)</dt>
    789 <dd>
    790 <p></p></dd>
    791 <dt class="definition"><strong>procedure:</strong> (flnan? FL)</dt>
    792 <dd>
    793 <p></p></dd>
    794 <dt class="definition"><strong>procedure:</strong> (fl+ FL ...)</dt>
    795 <dd>
    796 <p></p></dd>
    797 <dt class="definition"><strong>procedure:</strong> (fl* FL ...)</dt>
    798 <dd>
    799 <p></p></dd>
    800 <dt class="definition"><strong>procedure:</strong> (fl- FL ...)</dt>
    801 <dd>
    802 <p></p></dd>
    803 <dt class="definition"><strong>procedure:</strong> (fl/ FL ...)</dt>
    804 <dd>
    805 <p></p></dd>
    806 <dt class="definition"><strong>procedure:</strong> (flmax FL ...)</dt>
    807 <dd>
    808 <p></p></dd>
    809 <dt class="definition"><strong>procedure:</strong> (flmin FL ...)</dt>
    810 <dd>
    811 <p></p></dd>
    812 <dt class="definition"><strong>procedure:</strong> (flmax-and-min FL ...)</dt>
    813 <dd>
    814 <p></p></dd>
    815 <dt class="definition"><strong>procedure:</strong> (flabs FL)</dt>
    816 <dd>
    817 <p></p></dd>
    818 <dt class="definition"><strong>procedure:</strong> (flfraction FL)</dt>
    819 <dd>
    820 <p></p></dd>
    821 <dt class="definition"><strong>procedure:</strong> (fltruncate FL)</dt>
    822 <dd>
    823 <p></p></dd>
    824 <dt class="definition"><strong>procedure:</strong> (flfloor FL)</dt>
    825 <dd>
    826 <p></p></dd>
    827 <dt class="definition"><strong>procedure:</strong> (flceiling FL)</dt>
    828 <dd>
    829 <p></p></dd>
    830 <dt class="definition"><strong>procedure:</strong> (flround FL)</dt>
    831 <dd>
    832 <p></p></dd>
    833 <dt class="definition"><strong>procedure:</strong> (fldiv FL-N FL-D)</dt>
    834 <dd>
    835 <p></p></dd>
    836 <dt class="definition"><strong>procedure:</strong> (flmod FL-N FL-D)</dt>
    837 <dd>
    838 <p></p></dd>
    839 <dt class="definition"><strong>procedure:</strong> (fldiv-and-mod FL-N FL-D)</dt>
    840 <dd>
    841 <p></p></dd>
    842 <dt class="definition"><strong>procedure:</strong> (fldiv0 FL-N FL-D)</dt>
    843 <dd>
    844 <p></p></dd>
    845 <dt class="definition"><strong>procedure:</strong> (flmod0 FL-N FL-D)</dt>
    846 <dd>
    847 <p></p></dd>
    848 <dt class="definition"><strong>procedure:</strong> (fldiv0-and-mod0 FL-N FL-D)</dt>
    849 <dd>
    850 <p></p></dd>
    851 <dt class="definition"><strong>procedure:</strong> (flexp FL)</dt>
    852 <dd>
    853 <p></p></dd>
    854 <dt class="definition"><strong>procedure:</strong> (fllog FL [BASE])</dt>
    855 <dd>
    856 <p></p></dd>
    857 <dt class="definition"><strong>procedure:</strong> (flsin FL)</dt>
    858 <dd>
    859 <p></p></dd>
    860 <dt class="definition"><strong>procedure:</strong> (flcos FL)</dt>
    861 <dd>
    862 <p></p></dd>
    863 <dt class="definition"><strong>procedure:</strong> (fltan FL)</dt>
    864 <dd>
    865 <p></p></dd>
    866 <dt class="definition"><strong>procedure:</strong> (flasin FL)</dt>
    867 <dd>
    868 <p></p></dd>
    869 <dt class="definition"><strong>procedure:</strong> (flacos FL)</dt>
    870 <dd>
    871 <p></p></dd>
    872 <dt class="definition"><strong>procedure:</strong> (flatan FL [FL2])</dt>
    873 <dd>
    874 <p></p></dd>
    875 <dt class="definition"><strong>procedure:</strong> (flsqrt FL)</dt>
    876 <dd>
    877 <p></p></dd>
    878 <dt class="definition"><strong>procedure:</strong> (flexpt FL EXP)</dt>
    879 <dd>
    880 <p></p></dd>
    881 <dt class="definition"><strong>procedure:</strong> (flnumerator FL)</dt>
    882 <dd>
    883 <p></p></dd>
    884 <dt class="definition"><strong>procedure:</strong> (fldenominator FL)</dt>
    885 <dd>
    886 <p></p></dd></div>
    887 <div class="subsection">
    888 <h4>Bitwise Procedures</h4>
    889 <div class="section">
    890 <h3>Usage</h3>(require-extension bitwise-extras)</div>
    891 <p>R6RS bitwise functions.</p>
    892 <p>Unchecked variants of the following procedures are supplied, named as the checked version but with a &quot;%&quot; prefix.</p>
    893 <dt class="definition"><strong>procedure:</strong> (pow2log2 VALUE)</dt>
    894 <dd>
    895 <p>Returns <code>2 ** log2 (<tt>VALUE</tt>)</code>.</p></dd>
    896 <dt class="definition"><strong>procedure:</strong> (boolean-&gt;bit OBJECT)</dt>
    897 <dd>
    898 <p>Returns <code>1</code> for truth values and <code>0</code> for false or zero.</p></dd>
    899 <dt class="definition"><strong>procedure:</strong> (bitwise-if MASK TRUE FALSE)</dt>
    900 <dd>
    901 <p>Merge under mask.</p></dd>
    902 <dt class="definition"><strong>procedure:</strong> (bitwise-if-not MASK TRUE FALSE)</dt>
    903 <dd>
    904 <p>Merge under not mask.</p></dd>
    905 <dt class="definition"><strong>procedure:</strong> (bitwise-test? VALUE1 VALUE2)</dt>
    906 <dd>
    907 <p>Any bits set in both <tt>VALUE1</tt> and <tt>VALUE2</tt>?</p></dd>
    908 <dt class="definition"><strong>procedure:</strong> (bitwise-bit-count VALUE)</dt>
    909 <dd>
    910 <p>Count of set bits.</p></dd>
    911 <dt class="definition"><strong>procedure:</strong> (bitwise-length VALUE)</dt>
    912 <dd>
    913 <p>Minimum number of bits to represent.</p></dd>
    914 <dt class="definition"><strong>procedure:</strong> (bitwise-first-bit-set VALUE)</dt>
    915 <dd>
    916 <p>Least significant bit set.</p></dd>
    917 <dt class="definition"><strong>procedure:</strong> (bitwise-last-bit-set VALUE)</dt>
    918 <dd>
    919 <p>Most significant bit set.</p></dd>
    920 <dt class="definition"><strong>procedure:</strong> (bitwise-bit-set? VALUE INDEX)</dt>
    921 <dd>
    922 <p>Specific bit set?</p></dd>
    923 <dt class="definition"><strong>procedure:</strong> (bitwise-copy-bit TO START BIT)</dt>
    924 <dd>
    925 <p>Set bit.</p></dd>
    926 <dt class="definition"><strong>procedure:</strong> (bitwise-bit-field VALUE START END)</dt>
    927 <dd>
    928 <p>Get bits.</p></dd>
    929 <dt class="definition"><strong>procedure:</strong> (bitwise-copy-bit-field TO START END FROM)</dt>
    930 <dd>
    931 <p>Set bits.</p></dd>
    932 <dt class="definition"><strong>procedure:</strong> (bitwise-rotate-bit-field VALUE START END COUNT)</dt>
    933 <dd>
    934 <p>Rotate bits.</p></dd>
    935 <dt class="definition"><strong>procedure:</strong> (bitwise-reverse VALUE COUNT)</dt>
    936 <dd>
    937 <p>Reverse low-order bits.</p></dd>
    938 <dt class="definition"><strong>procedure:</strong> (bitwise-reverse-bit-field VALUE START END)</dt>
    939 <dd>
    940 <p>Reverse bits.</p></dd>
    941 <dt class="definition"><strong>procedure:</strong> (bitwise-list-&gt;integer LIST)</dt>
    942 <dd>
    943 <p>Converts list of boolean, least-significant to most-significant, to integer.</p></dd>
    944 <dt class="definition"><strong>procedure:</strong> (bitwise-integer-&gt;list VALUE [LENGTH])</dt>
    945 <dd>
    946 <p>Converts integer to list of boolean, least-significant to most-significant.</p></dd>
    947 <dt class="definition"><strong>procedure:</strong> (bitwise-arithmetic-shift VALUE DIRECTIONAL-AMOUNT)</dt>
    948 <dd>
    949 <p><code>(arithmetic-shift VALUE DIRECTIONAL-AMOUNT)</code></p></dd>
    950 <dt class="definition"><strong>procedure:</strong> (bitwise-arithmetic-shift-left VALUE AMOUNT)</dt>
    951 <dd>
    952 <p><code>(arithmetic-shift VALUE AMOUNT)</code></p></dd>
    953 <dt class="definition"><strong>procedure:</strong> (bitwise-arithmetic-shift-right VALUE AMOUNT)</dt>
    954 <dd>
    955 <p><code>(arithmetic-shift VALUE (- AMOUNT))</code></p></dd></div></div>
    956 <div class="section">
    957 <h3>Version</h3>
    958 <ul>
    959 <li>1.11 Better argument checking. [Kon Lovett]</li>
    960 <li>1.10 Cygwin compile fix. Added &quot;fixnum/flonum/bitwise-extras&quot;. Removed &quot;count-set-bits&quot; &amp; &quot;count-unset-bits&quot;. [Kon Lovett]</li>
    961 <li>1.903 Added C int &amp; float types. [Kon Lovett]</li>
    962 <li>1.9.2 Added log1p (approx.) for Windows, scalbn. Native log2 for linux/macosx/bsd. [Kon Lovett]</li>
    963 <li>1.9.1 Added integer-log-base2, count-set-bits, count-unset-bits [Kon Lovett]</li>
    964 <li>1.9 Changed conditional compilation [Kon Lovett]</li>
    965 <li>1.8 fixes in setup script and .meta file</li>
    966 <li>1.7 installs mathh-constants.scm in include path [felix]</li>
    967 <li>1.6 make-log/base [Kon Lovett]</li>
    968 <li>1.5 fpclassify, fpclass, fxlog2 [Kon Lovett]</li>
    969 <li>1.4 Added some limits [Kon Lovett]</li>
    970 <li>1.3 Removed fpclassify (for now), tgamma -&gt; gamma [Kon Lovett]</li>
    971 <li>1.2 Added missing setup-header [felix]</li>
    972 <li>1.1 More math.h functions &amp; constants [Kon Lovett]</li>
    973 <li>1.0 Initial release</li></ul></div>
    974 <div class="section">
    975 <h3>License</h3>
    976 <pre>This code is in the public domain</pre></div></div>
    977 <div id="footer">
    978 <hr /><a href="index.html">&lt; Egg index</a>
    979 <div id="revision-history">$Revision$ $Date$</div>&nbsp;</div></body></html>
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