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>logand, logandc1, logandc2, logeqv, logior, lognand, lognor, lognot, logorc1, logorc2, logxor | Common Lisp Nova Spec</TITLE
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><TABLE WIDTH="100%" CELLSPACING="0" CELLPADDING="0"
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" WIDTH="100%" CLASS="name"
><SPAN CLASS="idx" DATA-KIND="idxref" DATA-TERM="logand, logandc1, logandc2, logeqv, logior, lognand, lognor, lognot, logorc1, logorc2, logxor"
></SPAN
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>logand, logandc1, logandc2, logeqv, logior, lognand, lognor, lognot, logorc1, logorc2, logxor</B
></TD
><TD ALIGN="RIGHT" VALIGN="BASELINE" WIDTH="0" NOWRAP="NOWRAP" CLASS="ftype"
><I
>Function</I
></TD
></TR
></TABLE
><HR
></DIV
><UL CLASS="subtoc"
></UL
><DL
><DT
><B
>Syntax</B
></DT
><DD
><P CLASS="j"
><B
>logand</B
> <SPAN CLASS="cmtt"
>&amp;rest</SPAN
> <SPAN CLASS="cmssi"
>integers</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>logandc1</B
> <SPAN CLASS="cmssi"
>integer-1</SPAN
> <SPAN CLASS="cmssi"
>integer-2</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>logandc2</B
> <SPAN CLASS="cmssi"
>integer-1</SPAN
> <SPAN CLASS="cmssi"
>integer-2</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>logeqv</B
> <SPAN CLASS="cmtt"
>&amp;rest</SPAN
> <SPAN CLASS="cmssi"
>integers</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>logior</B
> <SPAN CLASS="cmtt"
>&amp;rest</SPAN
> <SPAN CLASS="cmssi"
>integers</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>lognand</B
> <SPAN CLASS="cmssi"
>integer-1</SPAN
> <SPAN CLASS="cmssi"
>integer-2</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>lognor</B
> <SPAN CLASS="cmssi"
>integer-1</SPAN
> <SPAN CLASS="cmssi"
>integer-2</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>lognot</B
> <SPAN CLASS="cmssi"
>integer</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>logorc1</B
> <SPAN CLASS="cmssi"
>integer-1</SPAN
> <SPAN CLASS="cmssi"
>integer-2</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>logorc2</B
> <SPAN CLASS="cmssi"
>integer-1</SPAN
> <SPAN CLASS="cmssi"
>integer-2</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
><P CLASS="j"
><B
>logxor</B
> <SPAN CLASS="cmtt"
>&amp;rest</SPAN
> <SPAN CLASS="cmssi"
>integers</SPAN
> <SPAN CLASS="arrow"
>&#8594;</SPAN
> <SPAN CLASS="cmssi"
>result-integer</SPAN
></P
></DD
><DT
><B
>Arguments and Values</B
></DT
><DD
><P CLASS="j"
><VAR CLASS="param"
>integers</VAR
> &#8212; <A HREF="26_1_Glossary.html#integer"
><EM CLASS="term"
>integers</EM
></A
>. </P
><P CLASS="j"
><VAR CLASS="param"
>integer</VAR
> &#8212; an <A HREF="26_1_Glossary.html#integer"
><EM CLASS="term"
>integer</EM
></A
>. </P
><P CLASS="j"
><VAR CLASS="param"
>integer-1</VAR
> &#8212; an <A HREF="26_1_Glossary.html#integer"
><EM CLASS="term"
>integer</EM
></A
>. </P
><P CLASS="j"
><VAR CLASS="param"
>integer-2</VAR
> &#8212; an <A HREF="26_1_Glossary.html#integer"
><EM CLASS="term"
>integer</EM
></A
>. </P
><P CLASS="j"
><VAR CLASS="param"
>result-integer</VAR
> &#8212; an <A HREF="26_1_Glossary.html#integer"
><EM CLASS="term"
>integer</EM
></A
>.</P
></DD
><DT
><B
>Description</B
></DT
><DD
><P CLASS="j"
>The <A HREF="26_1_Glossary.html#function"
><EM CLASS="term"
>functions</EM
></A
> <A HREF="f_logand.html" CLASS="funref"
><B
>logandc1</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>logandc2</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>logand</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>logeqv</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>logior</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>lognand</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>lognor</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>lognot</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>logorc1</B
></A
>, <A HREF="f_logand.html" CLASS="funref"
><B
>logorc2</B
></A
>, and <A HREF="f_logand.html" CLASS="funref"
><B
>logxor</B
></A
> perform bit-wise logical operations on their <A HREF="26_1_Glossary.html#argument"
><EM CLASS="term"
>arguments</EM
></A
>, that are treated as if they were binary. </P
><P CLASS="j"
>Figure 12&#8211;18 lists the meaning of each of the <A HREF="26_1_Glossary.html#function"
><EM CLASS="term"
>functions</EM
></A
>. Where an &#8216;identity&#8217; is shown, it indicates the <A HREF="26_1_Glossary.html#value"
><EM CLASS="term"
>value</EM
></A
> <A HREF="26_1_Glossary.html#yield"
><EM CLASS="term"
>yielded</EM
></A
> by the <A HREF="26_1_Glossary.html#function"
><EM CLASS="term"
>function</EM
></A
> when no <A HREF="26_1_Glossary.html#argument"
><EM CLASS="term"
>arguments</EM
></A
> are supplied.</P
><FIGURE CLASS="boxfig"
><DIV CLASS="figbody"
><TABLE CELLSPACING="0" CELLPADDING="0" RULES="GROUPS" STYLE="margin: 1ex 0" WIDTH="100%"
><THEAD
><TR
><TH ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
><B
>Function</B
></TH
><TH ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <B
>Identity</B
></TH
><TH ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <B
>Operation performed</B
></TH
></TR
></THEAD
><TBODY
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logandc1</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <SPAN CLASS="cmr"
> &#8212; </SPAN
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>and</SPAN
> <SPAN CLASS="cmr"
>complement</SPAN
> <SPAN CLASS="cmr"
>of</SPAN
> <VAR CLASS="param"
>integer-1</VAR
> <SPAN CLASS="cmr"
>with</SPAN
> <VAR CLASS="param"
>integer-2</VAR
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logandc2</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <SPAN CLASS="cmr"
> &#8212; </SPAN
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>and</SPAN
> <VAR CLASS="param"
>integer-1</VAR
> <SPAN CLASS="cmr"
>with</SPAN
> <SPAN CLASS="cmr"
>complement</SPAN
> <SPAN CLASS="cmr"
>of</SPAN
> <VAR CLASS="param"
>integer-2</VAR
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logand</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <CODE CLASS="f"
>-1</CODE
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>and</SPAN
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logeqv</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <CODE CLASS="f"
>-1</CODE
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>equivalence</SPAN
> <SPAN CLASS="cmr"
>(exclusive</SPAN
> <SPAN CLASS="cmr"
>nor)</SPAN
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logior</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <CODE CLASS="f"
>0</CODE
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>inclusive</SPAN
> <SPAN CLASS="cmr"
>or</SPAN
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>lognand</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <SPAN CLASS="cmr"
> &#8212; </SPAN
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>complement</SPAN
> <SPAN CLASS="cmr"
>of</SPAN
> <VAR CLASS="param"
>integer-1</VAR
> <SPAN CLASS="cmr"
>and</SPAN
> <VAR CLASS="param"
>integer-2</VAR
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>lognor</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <SPAN CLASS="cmr"
> &#8212; </SPAN
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>complement</SPAN
> <SPAN CLASS="cmr"
>of</SPAN
> <VAR CLASS="param"
>integer-1</VAR
> <SPAN CLASS="cmr"
>or</SPAN
> <VAR CLASS="param"
>integer-2</VAR
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>lognot</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <SPAN CLASS="cmr"
> &#8212; </SPAN
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>complement</SPAN
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logorc1</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <SPAN CLASS="cmr"
> &#8212; </SPAN
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>or</SPAN
> <SPAN CLASS="cmr"
>complement</SPAN
> <SPAN CLASS="cmr"
>of</SPAN
> <VAR CLASS="param"
>integer-1</VAR
> <SPAN CLASS="cmr"
>with</SPAN
> <VAR CLASS="param"
>integer-2</VAR
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logorc2</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <SPAN CLASS="cmr"
> &#8212; </SPAN
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>or</SPAN
> <VAR CLASS="param"
>integer-1</VAR
> <SPAN CLASS="cmr"
>with</SPAN
> <SPAN CLASS="cmr"
>complement</SPAN
> <SPAN CLASS="cmr"
>of</SPAN
> <VAR CLASS="param"
>integer-2</VAR
></TD
></TR
><TR
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";padding-right:3px"
> <A HREF="f_logand.html" CLASS="funref"
><B
>logxor</B
></A
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;padding-right:3px"
> <CODE CLASS="f"
>0</CODE
></TD
><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE="padding-left:3px;"
> <SPAN CLASS="cmr"
>exclusive</SPAN
> <SPAN CLASS="cmr"
>or</SPAN
></TD
></TR
></TBODY
></TABLE
></DIV
><FIGCAPTION CLASS="caption"
><B
>Figure 12&#8211;18. Bit-wise Logical Operations on Integers</B
></FIGCAPTION
></FIGURE
><P CLASS="j"
>Negative <VAR CLASS="param"
>integers</VAR
> are treated as if they were in two&#8217;s-complement notation.</P
></DD
><DT
><B
>Examples</B
></DT
><DD
><PRE CLASS="screen"
> (logior 1 2 4 8) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> 15
(logxor 1 3 7 15) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> 10
(logeqv) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> -1
(logand 16 31) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> 16
(lognot 0) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> -1
(lognot 1) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> -2
(lognot -1) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> 0
(lognot (1+ (lognot 1000))) <SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> 999
;;; In the following example, m is a mask. For each bit in
;;; the mask that is a 1, the corresponding bits in x and y are
;;; exchanged. For each bit in the mask that is a 0, the
;;; corresponding bits of x and y are left unchanged.
(flet ((show (m x y)
(format t "~%m = #o~6,'0O~%x = #o~6,'0O~%y = #o~6,'0O~%"
m x y)))
(let ((m #o007750)
(x #o452576)
(y #o317407))
(show m x y)
(let ((z (logand (logxor x y) m)))
(setq x (logxor z x))
(setq y (logxor z y))
(show m x y))))
<SPAN CLASS="cmr"
>&#8883;</SPAN
> m = #o007750
<SPAN CLASS="cmr"
>&#8883;</SPAN
> x = #o452576
<SPAN CLASS="cmr"
>&#8883;</SPAN
> y = #o317407
<SPAN CLASS="cmr"
>&#8883;</SPAN
>
<SPAN CLASS="cmr"
>&#8883;</SPAN
> m = #o007750
<SPAN CLASS="cmr"
>&#8883;</SPAN
> x = #o457426
<SPAN CLASS="cmr"
>&#8883;</SPAN
> y = #o312557
<SPAN CLASS="cmsy"
><SPAN CLASS="arrow"
>&#8594;</SPAN
></SPAN
> NIL</PRE
></DD
><DT
><B
>Exceptional Situations</B
></DT
><DD
><P CLASS="j"
>Should signal <A HREF="t_type-error.html" CLASS="typeref"
><B
>type-error</B
></A
> if any argument is not an <A HREF="26_1_Glossary.html#integer"
><EM CLASS="term"
>integer</EM
></A
>.</P
></DD
><DT
><B
>See Also</B
></DT
><DD
><P CLASS="j"
><A HREF="f_boole.html" CLASS="funref"
><B
>boole</B
></A
></P
></DD
><DT
><B
>Notes</B
></DT
><DD
><P CLASS="j"
><CODE CLASS="f"
>(logbitp <VAR CLASS="param"
>k</VAR
> -1)</CODE
> returns <A HREF="26_1_Glossary.html#true"
><EM CLASS="term"
>true</EM
></A
> for all values of <VAR CLASS="param"
>k</VAR
>. </P
><P CLASS="j"
>Because the following functions are not associative, they take exactly two arguments rather than any number of arguments.</P
><PRE CLASS="screen"
>(lognand <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>) <SPAN CLASS="cmsy"
><SPAN STYLE="font-size:16px;vertical-align:-2px"
>&#8801;</SPAN
></SPAN
> (lognot (logand <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>))
(lognor <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>) <SPAN CLASS="cmsy"
><SPAN STYLE="font-size:16px;vertical-align:-2px"
>&#8801;</SPAN
></SPAN
> (lognot (logior <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>))
(logandc1 <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>) <SPAN CLASS="cmsy"
><SPAN STYLE="font-size:16px;vertical-align:-2px"
>&#8801;</SPAN
></SPAN
> (logand (lognot <VAR CLASS="param"
>n1</VAR
>) <VAR CLASS="param"
>n2</VAR
>)
(logandc2 <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>) <SPAN CLASS="cmsy"
><SPAN STYLE="font-size:16px;vertical-align:-2px"
>&#8801;</SPAN
></SPAN
> (logand <VAR CLASS="param"
>n1</VAR
> (lognot <VAR CLASS="param"
>n2</VAR
>))
(logiorc1 <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>) <SPAN CLASS="cmsy"
><SPAN STYLE="font-size:16px;vertical-align:-2px"
>&#8801;</SPAN
></SPAN
> (logior (lognot <VAR CLASS="param"
>n1</VAR
>) <VAR CLASS="param"
>n2</VAR
>)
(logiorc2 <VAR CLASS="param"
>n1</VAR
> <VAR CLASS="param"
>n2</VAR
>) <SPAN CLASS="cmsy"
><SPAN STYLE="font-size:16px;vertical-align:-2px"
>&#8801;</SPAN
></SPAN
> (logior <VAR CLASS="param"
>n1</VAR
> (lognot <VAR CLASS="param"
>n2</VAR
>))
(logbitp <VAR CLASS="param"
>j</VAR
> (lognot <VAR CLASS="param"
>x</VAR
>)) <SPAN CLASS="cmsy"
><SPAN STYLE="font-size:16px;vertical-align:-2px"
>&#8801;</SPAN
></SPAN
> (not (logbitp <VAR CLASS="param"
>j</VAR
> <VAR CLASS="param"
>x</VAR
>))</PRE
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