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<div class="chapter" id="Numbers">
<div class="header">
<p>
Next: <a href="Sequences-and-Arrays-and-Hash-Tables.html" accesskey="n" rel="next">Sequences and Arrays and Hash Tables</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Function-and-Variable-Index.html" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<span id="Numbers-1"></span><h2 class="chapter">1 Numbers</h2>
<dl class="def">
<dt id="index-SIGNUM"><span class="category">Function: </span><span><strong>SIGNUM</strong> <em>(number)</em><a href='#index-SIGNUM' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>If NUMBER is zero, returns NUMBER; else returns (/ NUMBER (ABS NUMBER)).
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGNOT"><span class="category">Function: </span><span><strong>LOGNOT</strong> <em>(integer)</em><a href='#index-LOGNOT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the bit-wise logical NOT of INTEGER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dPOSITIVE_002dSHORT_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-POSITIVE-SHORT-FLOAT</strong><a href='#index-MOST_002dPOSITIVE_002dSHORT_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The short-float closest in value to positive infinity.
</p>
</dd></dl>
<dl class="def">
<dt id="index-INTEGER_002dDECODE_002dFLOAT"><span class="category">Function: </span><span><strong>INTEGER-DECODE-FLOAT</strong> <em>(float)</em><a href='#index-INTEGER_002dDECODE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns, as three values, the integer interpretation of significand F,
the exponent E, and the sign S of the given float, so that
E
FLOAT = S * F * B where B = (FLOAT-RADIX FLOAT)
</p>
<p>F is a non-negative integer, E is an integer, and S is either 1 or -1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MINUSP"><span class="category">Function: </span><span><strong>MINUSP</strong> <em>(number)</em><a href='#index-MINUSP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if NUMBER < 0; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGORC1"><span class="category">Function: </span><span><strong>LOGORC1</strong> <em>(integer1 integer2)</em><a href='#index-LOGORC1' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the logical OR of (LOGNOT INTEGER1) and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dNEGATIVE_002dSINGLE_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-NEGATIVE-SINGLE-FLOAT</strong><a href='#index-MOST_002dNEGATIVE_002dSINGLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as MOST-NEGATIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dC1"><span class="category">Constant: </span><span><strong>BOOLE-C1</strong><a href='#index-BOOLE_002dC1' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return the complement of INTEGER1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dPOSITIVE_002dSHORT_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-POSITIVE-SHORT-FLOAT</strong><a href='#index-LEAST_002dPOSITIVE_002dSHORT_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The positive short-float closest in value to zero.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BIT_002dNAND"><span class="category">Function: </span><span><strong>BIT-NAND</strong> <em>(bit-array1 bit-array2 &optional (result-bit-array nil))</em><a href='#index-BIT_002dNAND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Performs a bit-wise logical NAND on the elements of BIT-ARRAY1 and
BIT-ARRAY2.
Puts the results into a new bit array if RESULT-BIT-ARRAY is NIL, into
BIT-ARRAY1 if RESULT-BIT-ARRAY is T, or into RESULT-BIT-ARRAY otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-INT_002dCHAR"><span class="category">Function: </span><span><strong>INT-CHAR</strong> <em>(integer)</em><a href='#index-INT_002dCHAR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Performs the inverse of CHAR-INT. Equivalent to CODE-CHAR in GCL.
</p>
</dd></dl>
<dl class="def">
<dt id="index-CHAR_002dINT"><span class="category">Function: </span><span><strong>CHAR-INT</strong> <em>(char)</em><a href='#index-CHAR_002dINT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the font, bits, and code attributes as a single non-negative integer.
Equivalent to CHAR-CODE in GCL.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dNEGATIVE_002dSINGLE_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-NEGATIVE-SINGLE-FLOAT</strong><a href='#index-LEAST_002dNEGATIVE_002dSINGLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LEAST-NEGATIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_002f_003d"><span class="category">Function: </span><span><strong>/=</strong> <em>(number &rest more-numbers)</em><a href='#index-_002f_003d' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if no two of its arguments are numerically equal; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LDB_002dTEST"><span class="category">Function: </span><span><strong>LDB-TEST</strong> <em>(bytespec integer)</em><a href='#index-LDB_002dTEST' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if at least one of the bits in the specified bytes of INTEGER is 1;
NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-CHAR_002dCODE_002dLIMIT"><span class="category">Constant: </span><span><strong>CHAR-CODE-LIMIT</strong><a href='#index-CHAR_002dCODE_002dLIMIT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The upper exclusive bound on values produced by CHAR-CODE.
</p>
</dd></dl>
<dl class="def">
<dt id="index-RATIONAL"><span class="category">Function: </span><span><strong>RATIONAL</strong> <em>(number)</em><a href='#index-RATIONAL' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Converts NUMBER into rational accurately and returns it.
</p>
</dd></dl>
<dl class="def">
<dt id="index-PI"><span class="category">Constant: </span><span><strong>PI</strong><a href='#index-PI' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The floating-point number that is appropriately equal to the ratio of the
circumference of the circle to the diameter.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SIN"><span class="category">Function: </span><span><strong>SIN</strong> <em>(radians)</em><a href='#index-SIN' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the sine of RADIANS.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dORC2"><span class="category">Constant: </span><span><strong>BOOLE-ORC2</strong><a href='#index-BOOLE_002dORC2' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGORC2 of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-NUMERATOR"><span class="category">Function: </span><span><strong>NUMERATOR</strong> <em>(rational)</em><a href='#index-NUMERATOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns as an integer the numerator of the given rational number.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MASK_002dFIELD"><span class="category">Function: </span><span><strong>MASK-FIELD</strong> <em>(bytespec integer)</em><a href='#index-MASK_002dFIELD' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Extracts the specified byte from INTEGER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-INCF"><span class="category">Special Form: </span><span><strong>INCF</strong><a href='#index-INCF' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Syntax:
</p><div class="example">
<pre class="example">(incf place [delta])
</pre></div>
<p>Adds the number produced by DELTA (which defaults to 1) to the number
in PLACE.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SINH"><span class="category">Function: </span><span><strong>SINH</strong> <em>(number)</em><a href='#index-SINH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the hyperbolic sine of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-PHASE"><span class="category">Function: </span><span><strong>PHASE</strong> <em>(number)</em><a href='#index-PHASE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the angle part of the polar representation of a complex number.
For non-complex numbers, this is 0.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE"><span class="category">Function: </span><span><strong>BOOLE</strong> <em>(op integer1 integer2)</em><a href='#index-BOOLE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns an integer produced by performing the logical operation specified by
OP on the two integers. OP must be the value of one of the following
constants:
BOOLE-CLR BOOLE-C1 BOOLE-XOR BOOLE-ANDC1
BOOLE-SET BOOLE-C2 BOOLE-EQV BOOLE-ANDC2
BOOLE-1 BOOLE-AND BOOLE-NAND BOOLE-ORC1
BOOLE-2 BOOLE-IOR BOOLE-NOR BOOLE-ORC2
See the variable docs of these constants for their operations.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SHORT_002dFLOAT_002dEPSILON"><span class="category">Constant: </span><span><strong>SHORT-FLOAT-EPSILON</strong><a href='#index-SHORT_002dFLOAT_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The smallest positive short-float that satisfies
(not (= (float 1 e) (+ (float 1 e) e))).
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGORC2"><span class="category">Function: </span><span><strong>LOGORC2</strong> <em>(integer1 integer2)</em><a href='#index-LOGORC2' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the logical OR of INTEGER1 and (LOGNOT INTEGER2).
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dC2"><span class="category">Constant: </span><span><strong>BOOLE-C2</strong><a href='#index-BOOLE_002dC2' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return the complement of INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-REALPART"><span class="category">Function: </span><span><strong>REALPART</strong> <em>(number)</em><a href='#index-REALPART' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Extracts the real part of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dCLR"><span class="category">Constant: </span><span><strong>BOOLE-CLR</strong><a href='#index-BOOLE_002dCLR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return 0.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dIOR"><span class="category">Constant: </span><span><strong>BOOLE-IOR</strong><a href='#index-BOOLE_002dIOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGIOR of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FTRUNCATE"><span class="category">Function: </span><span><strong>FTRUNCATE</strong> <em>(number &optional (divisor 1))</em><a href='#index-FTRUNCATE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Values: (quotient remainder)
Same as TRUNCATE, but returns first value as a float.
</p>
</dd></dl>
<dl class="def">
<dt id="index-EQL"><span class="category">Function: </span><span><strong>EQL</strong> <em>(x y)</em><a href='#index-EQL' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if X and Y are EQ, or if they are numbers of the same type with
the same value, or if they are character objects that represent the same
character. Returns NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOG"><span class="category">Function: </span><span><strong>LOG</strong> <em>(number &optional base)</em><a href='#index-LOG' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the logarithm of NUMBER in the base BASE. BASE defaults to the base
of natural logarithms.
</p>
</dd></dl>
<dl class="def">
<dt id="index-DOUBLE_002dFLOAT_002dNEGATIVE_002dEPSILON"><span class="category">Constant: </span><span><strong>DOUBLE-FLOAT-NEGATIVE-EPSILON</strong><a href='#index-DOUBLE_002dFLOAT_002dNEGATIVE_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LONG-FLOAT-NEGATIVE-EPSILON.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGIOR"><span class="category">Function: </span><span><strong>LOGIOR</strong> <em>(&rest integers)</em><a href='#index-LOGIOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the bit-wise INCLUSIVE OR of its arguments.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dNEGATIVE_002dDOUBLE_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-NEGATIVE-DOUBLE-FLOAT</strong><a href='#index-MOST_002dNEGATIVE_002dDOUBLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as MOST-NEGATIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_002f"><span class="category">Function: </span><span><strong>/</strong> <em>(number &rest more-numbers)</em><a href='#index-_002f' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Divides the first NUMBER by each of the subsequent NUMBERS.
With one arg, returns the reciprocal of the number.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_002aRANDOM_002dSTATE_002a"><span class="category">Variable: </span><span><strong>*RANDOM-STATE*</strong><a href='#index-_002aRANDOM_002dSTATE_002a' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The default random-state object used by RAMDOM.
</p>
</dd></dl>
<dl class="def">
<dt id="index-1_002b"><span class="category">Function: </span><span><strong>1+</strong> <em>(number)</em><a href='#index-1_002b' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns NUMBER + 1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dNEGATIVE_002dDOUBLE_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-NEGATIVE-DOUBLE-FLOAT</strong><a href='#index-LEAST_002dNEGATIVE_002dDOUBLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LEAST-NEGATIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FCEILING"><span class="category">Function: </span><span><strong>FCEILING</strong> <em>(number &optional (divisor 1))</em><a href='#index-FCEILING' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Same as CEILING, but returns a float as the first value.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dPOSITIVE_002dFIXNUM"><span class="category">Constant: </span><span><strong>MOST-POSITIVE-FIXNUM</strong><a href='#index-MOST_002dPOSITIVE_002dFIXNUM' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The fixnum closest in value to positive infinity.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BIT_002dANDC1"><span class="category">Function: </span><span><strong>BIT-ANDC1</strong> <em>(bit-array1 bit-array2 &optional (result-bit-array nil))</em><a href='#index-BIT_002dANDC1' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Performs a bit-wise logical ANDC1 on the elements of BIT-ARRAY1 and
BIT-ARRAY2.
Puts the results into a new bit array if RESULT-BIT-ARRAY is NIL, into
BIT-ARRAY1 if RESULT-BIT-ARRAY is T, or into RESULT-BIT-ARRAY otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-TAN"><span class="category">Function: </span><span><strong>TAN</strong> <em>(radians)</em><a href='#index-TAN' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the tangent of RADIANS.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dNAND"><span class="category">Constant: </span><span><strong>BOOLE-NAND</strong><a href='#index-BOOLE_002dNAND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGNAND of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-TANH"><span class="category">Function: </span><span><strong>TANH</strong> <em>(number)</em><a href='#index-TANH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the hyperbolic tangent of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ASIN"><span class="category">Function: </span><span><strong>ASIN</strong> <em>(number)</em><a href='#index-ASIN' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the arc sine of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BYTE"><span class="category">Function: </span><span><strong>BYTE</strong> <em>(size position)</em><a href='#index-BYTE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns a byte specifier. In GCL, a byte specifier is represented by
a dotted pair (<size> . <position>).
</p>
</dd></dl>
<dl class="def">
<dt id="index-ASINH"><span class="category">Function: </span><span><strong>ASINH</strong> <em>(number)</em><a href='#index-ASINH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the hyperbolic arc sine of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dPOSITIVE_002dLONG_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-POSITIVE-LONG-FLOAT</strong><a href='#index-MOST_002dPOSITIVE_002dLONG_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The long-float closest in value to positive infinity.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SHIFTF"><span class="category">Macro: </span><span><strong>SHIFTF</strong><a href='#index-SHIFTF' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Syntax:
</p><div class="example">
<pre class="example">(shiftf {place}+ newvalue)
</pre></div>
<p>Evaluates all PLACEs and NEWVALUE in turn, then assigns the value of each
form to the PLACE on its left. Returns the original value of the leftmost
form.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dPOSITIVE_002dLONG_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-POSITIVE-LONG-FLOAT</strong><a href='#index-LEAST_002dPOSITIVE_002dLONG_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The positive long-float closest in value to zero.
</p>
</dd></dl>
<dl class="def">
<dt id="index-DEPOSIT_002dFIELD"><span class="category">Function: </span><span><strong>DEPOSIT-FIELD</strong> <em>(newbyte bytespec integer)</em><a href='#index-DEPOSIT_002dFIELD' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns an integer computed by replacing the specified byte of INTEGER with
the specified byte of NEWBYTE.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BIT_002dAND"><span class="category">Function: </span><span><strong>BIT-AND</strong> <em>(bit-array1 bit-array2 &optional (result-bit-array nil))</em><a href='#index-BIT_002dAND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Performs a bit-wise logical AND on the elements of BIT-ARRAY1 and BIT-ARRAY2.
Puts the results into a new bit array if RESULT-BIT-ARRAY is NIL, into
BIT-ARRAY1 if RESULT-BIT-ARRAY is T, or into RESULT-BIT-ARRAY otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGNAND"><span class="category">Function: </span><span><strong>LOGNAND</strong> <em>(integer1 integer2)</em><a href='#index-LOGNAND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the complement of the logical AND of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BYTE_002dPOSITION"><span class="category">Function: </span><span><strong>BYTE-POSITION</strong> <em>(bytespec)</em><a href='#index-BYTE_002dPOSITION' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the position part (in GCL, the cdr part) of the byte specifier.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ROTATEF"><span class="category">Macro: </span><span><strong>ROTATEF</strong><a href='#index-ROTATEF' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Syntax:
</p><div class="example">
<pre class="example">(rotatef {place}*)
</pre></div>
<p>Evaluates PLACEs in turn, then assigns to each PLACE the value of the form to
its right. The rightmost PLACE gets the value of the leftmost PLACE.
Returns NIL always.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BIT_002dANDC2"><span class="category">Function: </span><span><strong>BIT-ANDC2</strong> <em>(bit-array1 bit-array2 &optional (result-bit-array nil))</em><a href='#index-BIT_002dANDC2' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Performs a bit-wise logical ANDC2 on the elements of BIT-ARRAY1 and
BIT-ARRAY2.
Puts the results into a new bit array if RESULT-BIT-ARRAY is NIL, into
BIT-ARRAY1 if RESULT-BIT-ARRAY is T, or into RESULT-BIT-ARRAY otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-TRUNCATE"><span class="category">Function: </span><span><strong>TRUNCATE</strong> <em>(number &optional (divisor 1))</em><a href='#index-TRUNCATE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Values: (quotient remainder)
Returns NUMBER/DIVISOR as an integer, rounded toward 0. The second returned
value is the remainder.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dEQV"><span class="category">Constant: </span><span><strong>BOOLE-EQV</strong><a href='#index-BOOLE_002dEQV' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGEQV of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dSET"><span class="category">Constant: </span><span><strong>BOOLE-SET</strong><a href='#index-BOOLE_002dSET' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return -1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LDB"><span class="category">Function: </span><span><strong>LDB</strong> <em>(bytespec integer)</em><a href='#index-LDB' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Extracts and right-justifies the specified byte of INTEGER, and returns the
result.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BYTE_002dSIZE"><span class="category">Function: </span><span><strong>BYTE-SIZE</strong> <em>(bytespec)</em><a href='#index-BYTE_002dSIZE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the size part (in GCL, the car part) of the byte specifier.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SHORT_002dFLOAT_002dNEGATIVE_002dEPSILON"><span class="category">Constant: </span><span><strong>SHORT-FLOAT-NEGATIVE-EPSILON</strong><a href='#index-SHORT_002dFLOAT_002dNEGATIVE_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The smallest positive short-float that satisfies
(not (= (float 1 e) (- (float 1 e) e))).
</p>
</dd></dl>
<dl class="def">
<dt id="index-REM"><span class="category">Function: </span><span><strong>REM</strong> <em>(number divisor)</em><a href='#index-REM' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the second value of (TRUNCATE NUMBER DIVISOR).
</p>
</dd></dl>
<dl class="def">
<dt id="index-MIN"><span class="category">Function: </span><span><strong>MIN</strong> <em>(number &rest more-numbers)</em><a href='#index-MIN' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the least of its arguments.
</p>
</dd></dl>
<dl class="def">
<dt id="index-EXP"><span class="category">Function: </span><span><strong>EXP</strong> <em>(number)</em><a href='#index-EXP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Calculates e raised to the power NUMBER, where e is the base of natural
logarithms.
</p>
</dd></dl>
<dl class="def">
<dt id="index-DECODE_002dFLOAT"><span class="category">Function: </span><span><strong>DECODE-FLOAT</strong> <em>(float)</em><a href='#index-DECODE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns, as three values, the significand F, the exponent E, and the sign S
of the given float, so that
E
FLOAT = S * F * B where B = (FLOAT-RADIX FLOAT)
</p>
<p>S and F are floating-point numbers of the same float format as FLOAT, and E
is an integer.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LONG_002dFLOAT_002dEPSILON"><span class="category">Constant: </span><span><strong>LONG-FLOAT-EPSILON</strong><a href='#index-LONG_002dFLOAT_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The smallest positive long-float that satisfies
(not (= (float 1 e) (+ (float 1 e) e))).
</p>
</dd></dl>
<dl class="def">
<dt id="index-FROUND"><span class="category">Function: </span><span><strong>FROUND</strong> <em>(number &optional (divisor 1))</em><a href='#index-FROUND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Same as ROUND, but returns first value as a float.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGEQV"><span class="category">Function: </span><span><strong>LOGEQV</strong> <em>(&rest integers)</em><a href='#index-LOGEQV' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the bit-wise EQUIVALENCE of its arguments.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dNEGATIVE_002dSHORT_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-NEGATIVE-SHORT-FLOAT</strong><a href='#index-MOST_002dNEGATIVE_002dSHORT_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The short-float closest in value to negative infinity.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BIT_002dNOR"><span class="category">Function: </span><span><strong>BIT-NOR</strong> <em>(bit-array1 bit-array2 &optional (result-bit-array nil))</em><a href='#index-BIT_002dNOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Performs a bit-wise logical NOR on the elements of BIT-ARRAY1 and BIT-ARRAY2.
Puts the results into a new bit array if RESULT-BIT-ARRAY is NIL, into
BIT-ARRAY1 if RESULT-BIT-ARRAY is T, or into RESULT-BIT-ARRAY otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-CEILING"><span class="category">Function: </span><span><strong>CEILING</strong> <em>(number &optional (divisor 1))</em><a href='#index-CEILING' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the smallest integer not less than or NUMBER/DIVISOR. Returns the
remainder as the second value.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dNEGATIVE_002dSHORT_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-NEGATIVE-SHORT-FLOAT</strong><a href='#index-LEAST_002dNEGATIVE_002dSHORT_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The negative short-float closest in value to zero.
</p>
</dd></dl>
<dl class="def">
<dt id="index-1_002d"><span class="category">Function: </span><span><strong>1-</strong> <em>(number)</em><a href='#index-1_002d' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns NUMBER - 1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_003c_003d"><span class="category">Function: </span><span><strong><=</strong> <em>(number &rest more-numbers)</em><a href='#index-_003c_003d' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if arguments are in strictly non-decreasing order; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-IMAGPART"><span class="category">Function: </span><span><strong>IMAGPART</strong> <em>(number)</em><a href='#index-IMAGPART' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Extracts the imaginary part of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-INTEGERP"><span class="category">Function: </span><span><strong>INTEGERP</strong> <em>(x)</em><a href='#index-INTEGERP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if X is an integer (fixnum or bignum); NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ASH"><span class="category">Function: </span><span><strong>ASH</strong> <em>(integer count)</em><a href='#index-ASH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Shifts INTEGER left by COUNT places. Shifts right if COUNT is negative.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LCM"><span class="category">Function: </span><span><strong>LCM</strong> <em>(integer &rest more-integers)</em><a href='#index-LCM' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the least common multiple of the arguments.
</p>
</dd></dl>
<dl class="def">
<dt id="index-COS"><span class="category">Function: </span><span><strong>COS</strong> <em>(radians)</em><a href='#index-COS' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the cosine of RADIANS.
</p>
</dd></dl>
<dl class="def">
<dt id="index-DECF"><span class="category">Special Form: </span><span><strong>DECF</strong><a href='#index-DECF' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Syntax:
</p><div class="example">
<pre class="example">(decf place [delta])
</pre></div>
<p>Subtracts the number
produced by DELTA (which defaults to 1) from the number in
PLACE.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ATAN"><span class="category">Function: </span><span><strong>ATAN</strong> <em>(x &optional (y 1))</em><a href='#index-ATAN' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Returns the arc tangent of
X/Y.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dANDC1"><span class="category">Constant: </span><span><strong>BOOLE-ANDC1</strong><a href='#index-BOOLE_002dANDC1' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGANDC1 of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-COSH"><span class="category">Function: </span><span><strong>COSH</strong> <em>(number)</em><a href='#index-COSH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Returns the hyperbolic cosine of
NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FLOAT_002dRADIX"><span class="category">Function: </span><span><strong>FLOAT-RADIX</strong> <em>(float)</em><a href='#index-FLOAT_002dRADIX' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the representation radix (or base) of the floating-point
number.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ATANH"><span class="category">Function: </span><span><strong>ATANH</strong> <em>(number)</em><a href='#index-ATANH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the hyperbolic arc tangent of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-EVENP"><span class="category">Function: </span><span><strong>EVENP</strong> <em>(integer)</em><a href='#index-EVENP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Returns T
if INTEGER is even. Returns NIL if INTEGER is odd.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ZEROP"><span class="category">Function: </span><span><strong>ZEROP</strong> <em>(number)</em><a href='#index-ZEROP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Returns T if NUMBER = 0; NIL
otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FLOATP"><span class="category">Function: </span><span><strong>FLOATP</strong> <em>(x)</em><a href='#index-FLOATP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if X is a floating-point number; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SXHASH"><span class="category">Function: </span><span><strong>SXHASH</strong> <em>(object)</em><a href='#index-SXHASH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Computes a hash code for OBJECT and returns it as an integer.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002d1"><span class="category">Constant: </span><span><strong>BOOLE-1</strong><a href='#index-BOOLE_002d1' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return INTEGER1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dPOSITIVE_002dSINGLE_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-POSITIVE-SINGLE-FLOAT</strong><a href='#index-MOST_002dPOSITIVE_002dSINGLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as MOST-POSITIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGANDC1"><span class="category">Function: </span><span><strong>LOGANDC1</strong> <em>(integer1 integer2)</em><a href='#index-LOGANDC1' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the logical AND of (LOGNOT INTEGER1) and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dPOSITIVE_002dSINGLE_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-POSITIVE-SINGLE-FLOAT</strong><a href='#index-LEAST_002dPOSITIVE_002dSINGLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LEAST-POSITIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-COMPLEXP"><span class="category">Function: </span><span><strong>COMPLEXP</strong> <em>(x)</em><a href='#index-COMPLEXP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if X is a complex number; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dAND"><span class="category">Constant: </span><span><strong>BOOLE-AND</strong><a href='#index-BOOLE_002dAND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGAND of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MAX"><span class="category">Function: </span><span><strong>MAX</strong> <em>(number &rest more-numbers)</em><a href='#index-MAX' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the greatest of its arguments.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FLOAT_002dSIGN"><span class="category">Function: </span><span><strong>FLOAT-SIGN</strong> <em>(float1 &optional (float2 (float 1 float1)))</em><a href='#index-FLOAT_002dSIGN' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns a floating-point number with the same sign as FLOAT1 and with the
same absolute value as FLOAT2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dANDC2"><span class="category">Constant: </span><span><strong>BOOLE-ANDC2</strong><a href='#index-BOOLE_002dANDC2' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGANDC2 of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-DENOMINATOR"><span class="category">Function: </span><span><strong>DENOMINATOR</strong> <em>(rational)</em><a href='#index-DENOMINATOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the denominator of RATIONAL as an integer.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FLOAT"><span class="category">Function: </span><span><strong>FLOAT</strong> <em>(number &optional other)</em><a href='#index-FLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Converts a non-complex number to a floating-point number. If NUMBER is
already a float, FLOAT simply returns NUMBER. Otherwise, the format of
the returned float depends on OTHER; If OTHER is not provided, FLOAT returns
a SINGLE-FLOAT. If OTHER is provided, the result is in the same float format
as OTHER’s.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ROUND"><span class="category">Function: </span><span><strong>ROUND</strong> <em>(number &optional (divisor 1))</em><a href='#index-ROUND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Rounds NUMBER/DIVISOR to nearest integer. The second returned value is the
remainder.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGAND"><span class="category">Function: </span><span><strong>LOGAND</strong> <em>(&rest integers)</em><a href='#index-LOGAND' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the bit-wise AND of its arguments.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002d2"><span class="category">Constant: </span><span><strong>BOOLE-2</strong><a href='#index-BOOLE_002d2' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_002a"><span class="category">Function: </span><span><strong>*</strong> <em>(&rest numbers)</em><a href='#index-_002a' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the product of its arguments. With no args, returns 1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_003c"><span class="category">Function: </span><span><strong><</strong> <em>(number &rest more-numbers)</em><a href='#index-_003c' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if its arguments are in strictly increasing order; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-COMPLEX"><span class="category">Function: </span><span><strong>COMPLEX</strong> <em>(realpart &optional (imagpart 0))</em><a href='#index-COMPLEX' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns a complex number with the given real and imaginary parts.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SINGLE_002dFLOAT_002dEPSILON"><span class="category">Constant: </span><span><strong>SINGLE-FLOAT-EPSILON</strong><a href='#index-SINGLE_002dFLOAT_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LONG-FLOAT-EPSILON.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGANDC2"><span class="category">Function: </span><span><strong>LOGANDC2</strong> <em>(integer1 integer2)</em><a href='#index-LOGANDC2' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the logical AND of INTEGER1 and (LOGNOT INTEGER2).
</p>
</dd></dl>
<dl class="def">
<dt id="index-INTEGER_002dLENGTH"><span class="category">Function: </span><span><strong>INTEGER-LENGTH</strong> <em>(integer)</em><a href='#index-INTEGER_002dLENGTH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the number of significant bits in the absolute value of INTEGER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dNEGATIVE_002dFIXNUM"><span class="category">Constant: </span><span><strong>MOST-NEGATIVE-FIXNUM</strong><a href='#index-MOST_002dNEGATIVE_002dFIXNUM' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The fixnum closest in value to negative infinity.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LONG_002dFLOAT_002dNEGATIVE_002dEPSILON"><span class="category">Constant: </span><span><strong>LONG-FLOAT-NEGATIVE-EPSILON</strong><a href='#index-LONG_002dFLOAT_002dNEGATIVE_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The smallest positive long-float that satisfies
(not (= (float 1 e) (- (float 1 e) e))).
</p>
</dd></dl>
<dl class="def">
<dt id="index-_003e_003d"><span class="category">Function: </span><span><strong>>=</strong> <em>(number &rest more-numbers)</em><a href='#index-_003e_003d' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if arguments are in strictly non-increasing order; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dNOR"><span class="category">Constant: </span><span><strong>BOOLE-NOR</strong><a href='#index-BOOLE_002dNOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGNOR of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ACOS"><span class="category">Function: </span><span><strong>ACOS</strong> <em>(number)</em><a href='#index-ACOS' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the arc cosine of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MAKE_002dRANDOM_002dSTATE"><span class="category">Function: </span><span><strong>MAKE-RANDOM-STATE</strong> <em>(&optional (state *random-state*))</em><a href='#index-MAKE_002dRANDOM_002dSTATE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Creates and returns a copy of the specified random state. If STATE is NIL,
then the value of *RANDOM-STATE* is used. If STATE is T, then returns a
random state object generated from the universal time.
</p>
</dd></dl>
<dl class="def">
<dt id="index-EXPT"><span class="category">Function: </span><span><strong>EXPT</strong> <em>(base-number power-number)</em><a href='#index-EXPT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns BASE-NUMBER raised to the power POWER-NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SQRT"><span class="category">Function: </span><span><strong>SQRT</strong> <em>(number)</em><a href='#index-SQRT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the principal square root of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SCALE_002dFLOAT"><span class="category">Function: </span><span><strong>SCALE-FLOAT</strong> <em>(float integer)</em><a href='#index-SCALE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns (* FLOAT (expt (float-radix FLOAT) INTEGER)).
</p>
</dd></dl>
<dl class="def">
<dt id="index-ACOSH"><span class="category">Function: </span><span><strong>ACOSH</strong> <em>(number)</em><a href='#index-ACOSH' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the hyperbolic arc cosine of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dNEGATIVE_002dLONG_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-NEGATIVE-LONG-FLOAT</strong><a href='#index-MOST_002dNEGATIVE_002dLONG_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The long-float closest in value to negative infinity.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dNEGATIVE_002dLONG_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-NEGATIVE-LONG-FLOAT</strong><a href='#index-LEAST_002dNEGATIVE_002dLONG_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
The negative long-float closest in value to zero.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FFLOOR"><span class="category">Function: </span><span><strong>FFLOOR</strong> <em>(number &optional (divisor 1))</em><a href='#index-FFLOOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Same as FLOOR, but returns a float as the first value.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGNOR"><span class="category">Function: </span><span><strong>LOGNOR</strong> <em>(integer1 integer2)</em><a href='#index-LOGNOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the complement of the logical OR of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-PARSE_002dINTEGER"><span class="category">Function: </span><span><strong>PARSE-INTEGER</strong> <em>(string &key (start 0) (end (length string)) (radix 10) (junk-allowed nil))</em><a href='#index-PARSE_002dINTEGER' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Parses STRING for an integer and returns it.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_002b"><span class="category">Function: </span><span><strong>+</strong> <em>(&rest numbers)</em><a href='#index-_002b' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the sum of its arguments. With no args, returns 0.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_003d"><span class="category">Function: </span><span><strong>=</strong> <em>(number &rest more-numbers)</em><a href='#index-_003d' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if all of its arguments are numerically equal; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-NUMBERP"><span class="category">Function: </span><span><strong>NUMBERP</strong> <em>(x)</em><a href='#index-NUMBERP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if X is any kind of number; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOST_002dPOSITIVE_002dDOUBLE_002dFLOAT"><span class="category">Constant: </span><span><strong>MOST-POSITIVE-DOUBLE-FLOAT</strong><a href='#index-MOST_002dPOSITIVE_002dDOUBLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as MOST-POSITIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGTEST"><span class="category">Function: </span><span><strong>LOGTEST</strong> <em>(integer1 integer2)</em><a href='#index-LOGTEST' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if LOGAND of INTEGER1 and INTEGER2 is not zero; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-RANDOM_002dSTATE_002dP"><span class="category">Function: </span><span><strong>RANDOM-STATE-P</strong> <em>(x)</em><a href='#index-RANDOM_002dSTATE_002dP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if X is a random-state object; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LEAST_002dPOSITIVE_002dDOUBLE_002dFLOAT"><span class="category">Constant: </span><span><strong>LEAST-POSITIVE-DOUBLE-FLOAT</strong><a href='#index-LEAST_002dPOSITIVE_002dDOUBLE_002dFLOAT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LEAST-POSITIVE-LONG-FLOAT.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FLOAT_002dPRECISION"><span class="category">Function: </span><span><strong>FLOAT-PRECISION</strong> <em>(float)</em><a href='#index-FLOAT_002dPRECISION' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the number of significant radix-B digits used to represent the
significand F of the floating-point number, where B = (FLOAT-RADIX FLOAT).
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dXOR"><span class="category">Constant: </span><span><strong>BOOLE-XOR</strong><a href='#index-BOOLE_002dXOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGXOR of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-DPB"><span class="category">Function: </span><span><strong>DPB</strong> <em>(newbyte bytespec integer)</em><a href='#index-DPB' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns an integer computed by replacing the specified byte of INTEGER with
NEWBYTE.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ABS"><span class="category">Function: </span><span><strong>ABS</strong> <em>(number)</em><a href='#index-ABS' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the absolute value of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-CONJUGATE"><span class="category">Function: </span><span><strong>CONJUGATE</strong> <em>(number)</em><a href='#index-CONJUGATE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the complex conjugate of NUMBER.
</p>
</dd></dl>
<dl class="def">
<dt id="index-CIS"><span class="category">Function: </span><span><strong>CIS</strong> <em>(radians)</em><a href='#index-CIS' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns e raised to i*RADIANS.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ODDP"><span class="category">Function: </span><span><strong>ODDP</strong> <em>(integer)</em><a href='#index-ODDP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if INTEGER is odd; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-RATIONALIZE"><span class="category">Function: </span><span><strong>RATIONALIZE</strong> <em>(number)</em><a href='#index-RATIONALIZE' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Converts NUMBER into rational approximately and returns it.
</p>
</dd></dl>
<dl class="def">
<dt id="index-ISQRT"><span class="category">Function: </span><span><strong>ISQRT</strong> <em>(integer)</em><a href='#index-ISQRT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the greatest integer less than or equal to the square root of the
given non-negative integer.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGXOR"><span class="category">Function: </span><span><strong>LOGXOR</strong> <em>(&rest integers)</em><a href='#index-LOGXOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the bit-wise EXCLUSIVE OR of its arguments.
</p>
</dd></dl>
<dl class="def">
<dt id="index-_003e"><span class="category">Function: </span><span><strong>></strong> <em>(number &rest more-numbers)</em><a href='#index-_003e' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if its arguments are in strictly decreasing order; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGBITP"><span class="category">Function: </span><span><strong>LOGBITP</strong> <em>(index integer)</em><a href='#index-LOGBITP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if the INDEX-th bit of INTEGER is 1.
</p>
</dd></dl>
<dl class="def">
<dt id="index-DOUBLE_002dFLOAT_002dEPSILON"><span class="category">Constant: </span><span><strong>DOUBLE-FLOAT-EPSILON</strong><a href='#index-DOUBLE_002dFLOAT_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LONG-FLOAT-EPSILON.
</p>
</dd></dl>
<dl class="def">
<dt id="index-LOGCOUNT"><span class="category">Function: </span><span><strong>LOGCOUNT</strong> <em>(integer)</em><a href='#index-LOGCOUNT' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>If INTEGER is negative, returns the number of 0 bits. Otherwise, returns
the number of 1 bits.
</p>
</dd></dl>
<dl class="def">
<dt id="index-GCD"><span class="category">Function: </span><span><strong>GCD</strong> <em>(&rest integers)</em><a href='#index-GCD' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the greatest common divisor of INTEGERs.
</p>
</dd></dl>
<dl class="def">
<dt id="index-RATIONALP"><span class="category">Function: </span><span><strong>RATIONALP</strong> <em>(x)</em><a href='#index-RATIONALP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if X is an integer or a ratio; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-MOD"><span class="category">Function: </span><span><strong>MOD</strong> <em>(number divisor)</em><a href='#index-MOD' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the second result of (FLOOR NUMBER DIVISOR).
</p>
</dd></dl>
<dl class="def">
<dt id="index-MODF"><span class="category">Function: </span><span><strong>MODF</strong> <em>(number)</em><a href='#index-MODF' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:SYSTEM
</p>
<p>Returns the integer and fractional part of a floating point number mod 1.0.
</p>
</dd></dl>
<dl class="def">
<dt id="index-BOOLE_002dORC1"><span class="category">Constant: </span><span><strong>BOOLE-ORC1</strong><a href='#index-BOOLE_002dORC1' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Makes BOOLE return LOGORC1 of INTEGER1 and INTEGER2.
</p>
</dd></dl>
<dl class="def">
<dt id="index-SINGLE_002dFLOAT_002dNEGATIVE_002dEPSILON"><span class="category">Constant: </span><span><strong>SINGLE-FLOAT-NEGATIVE-EPSILON</strong><a href='#index-SINGLE_002dFLOAT_002dNEGATIVE_002dEPSILON' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
Same as LONG-FLOAT-NEGATIVE-EPSILON.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FLOOR"><span class="category">Function: </span><span><strong>FLOOR</strong> <em>(number &optional (divisor 1))</em><a href='#index-FLOOR' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the largest integer not larger than the NUMBER divided by DIVISOR.
The second returned value is (- NUMBER (* first-value DIVISOR)).
</p>
</dd></dl>
<dl class="def">
<dt id="index-PLUSP"><span class="category">Function: </span><span><strong>PLUSP</strong> <em>(number)</em><a href='#index-PLUSP' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns T if NUMBER > 0; NIL otherwise.
</p>
</dd></dl>
<dl class="def">
<dt id="index-FLOAT_002dDIGITS"><span class="category">Function: </span><span><strong>FLOAT-DIGITS</strong> <em>(float)</em><a href='#index-FLOAT_002dDIGITS' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Returns the number of radix-B digits used to represent the significand F of
the floating-point number, where B = (FLOAT-RADIX FLOAT).
</p>
</dd></dl>
<dl class="def">
<dt id="index-RANDOM"><span class="category">Function: </span><span><strong>RANDOM</strong> <em>(number &optional (state *random-state*))</em><a href='#index-RANDOM' class='copiable-anchor'> ¶</a></span></dt>
<dd><p>Package:LISP
</p>
<p>Generates a uniformly distributed pseudo-random number between zero
(inclusive) and NUMBER (exclusive), by using the random state object STATE.
</p>
</dd></dl>
</div>
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