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Commit 1b48965a authored by Johannes Mey's avatar Johannes Mey
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keep just the jar and get rid of the sources of iamath

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net.sourceforge.interval.ia_math</FONT>
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Class IAException</H2>
<PRE>
java.lang.Object
|
+--java.lang.Throwable
|
+--java.lang.Exception
|
+--java.lang.RuntimeException
|
+--<B>net.sourceforge.interval.ia_math.IAException</B>
</PRE>
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<DT>public class <B>IAException</B><DT>extends java.lang.RuntimeException</DL>
<P>
IAException.java
-- classes implementing interval arithmetic runtime exceptions,
as part of the "ia_math library" version 0.1beta1, 10/97
<p>
Copyright (C) 2000 Timothy J. Hickey
<p>
License: <a href="http://interval.sourceforge.net/java/ia_math/licence.txt">zlib/png</a>
<p>
These exceptions are thrown when there is a runtime
error in the Interval Arithmetic methods. The most
common error is when the interval is empty. In this
case the message is "Empty Interval".
<P>
<DL>
<DT><B>See Also: </B><DD><A HREF="../../../../serialized-form.html#net.sourceforge.interval.ia_math.IAException">Serialized Form</A></DL>
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<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/IAException.html#IAException()">IAException</A></B>()</CODE>
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<A NAME="IAException()"><!-- --></A><H3>
IAException</H3>
<PRE>
public <B>IAException</B>()</PRE>
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IAException</H3>
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public <B>IAException</B>(java.lang.String&nbsp;s)</PRE>
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net.sourceforge.interval.ia_math</FONT>
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Class RealInterval</H2>
<PRE>
java.lang.Object
|
+--<B>net.sourceforge.interval.ia_math.RealInterval</B>
</PRE>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD>java.lang.Cloneable</DD>
</DL>
<HR>
<DL>
<DT>public class <B>RealInterval</B><DT>extends java.lang.Object<DT>implements java.lang.Cloneable</DL>
<P>
RealInterval.java <p>
-- classes implementing real intervals
as part of the "ia_math library" version 0.1beta1, 10/97
<p>
Copyright (C) 2000 Timothy J. Hickey
<p>
License: <a href="http://interval.sourceforge.net/java/ia_math/licence.txt">zlib/png</a>
<p>
the class RealInterval represents closed intervals of real numbers
<P>
<HR>
<P>
<!-- ======== INNER CLASS SUMMARY ======== -->
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<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#RealInterval()">RealInterval</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;construct the interval [-infty,infty]</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#RealInterval(double)">RealInterval</A></B>(double&nbsp;x)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#RealInterval(double, double)">RealInterval</A></B>(double&nbsp;lo,
double&nbsp;hi)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;java.lang.Object</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#clone()">clone</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#emptyInterval()">emptyInterval</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#equals(net.sourceforge.interval.ia_math.RealInterval)">equals</A></B>(<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A>&nbsp;x)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#fullInterval()">fullInterval</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#hi()">hi</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#intersect(net.sourceforge.interval.ia_math.RealInterval)">intersect</A></B>(<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A>&nbsp;x)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#lo()">lo</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#main(java.lang.String[])">main</A></B>(java.lang.String[]&nbsp;args)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;a test procedure which generates a few intervals
and adds and multiplies them</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#nonEmpty()">nonEmpty</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;java.lang.String</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#toString()">toString</A></B>()</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html#union(net.sourceforge.interval.ia_math.RealInterval)">union</A></B>(<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A>&nbsp;x)</CODE>
<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TD><B>Methods inherited from class java.lang.Object</B></TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE>equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait</CODE></TD>
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<P>
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<A NAME="RealInterval(double, double)"><!-- --></A><H3>
RealInterval</H3>
<PRE>
public <B>RealInterval</B>(double&nbsp;lo,
double&nbsp;hi)
throws <A HREF="../../../../net/sourceforge/interval/ia_math/IAException.html">IAException</A></PRE>
<DL>
</DL>
<HR>
<A NAME="RealInterval(double)"><!-- --></A><H3>
RealInterval</H3>
<PRE>
public <B>RealInterval</B>(double&nbsp;x)
throws <A HREF="../../../../net/sourceforge/interval/ia_math/IAException.html">IAException</A></PRE>
<DL>
</DL>
<HR>
<A NAME="RealInterval()"><!-- --></A><H3>
RealInterval</H3>
<PRE>
public <B>RealInterval</B>()</PRE>
<DL>
<DD>construct the interval [-infty,infty]</DL>
<!-- ============ METHOD DETAIL ========== -->
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<A NAME="lo()"><!-- --></A><H3>
lo</H3>
<PRE>
public double <B>lo</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="hi()"><!-- --></A><H3>
hi</H3>
<PRE>
public double <B>hi</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="equals(net.sourceforge.interval.ia_math.RealInterval)"><!-- --></A><H3>
equals</H3>
<PRE>
public boolean <B>equals</B>(<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A>&nbsp;x)</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="intersect(net.sourceforge.interval.ia_math.RealInterval)"><!-- --></A><H3>
intersect</H3>
<PRE>
public void <B>intersect</B>(<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A>&nbsp;x)
throws <A HREF="../../../../net/sourceforge/interval/ia_math/IAException.html">IAException</A></PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="union(net.sourceforge.interval.ia_math.RealInterval)"><!-- --></A><H3>
union</H3>
<PRE>
public void <B>union</B>(<A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A>&nbsp;x)
throws <A HREF="../../../../net/sourceforge/interval/ia_math/IAException.html">IAException</A></PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="nonEmpty()"><!-- --></A><H3>
nonEmpty</H3>
<PRE>
public boolean <B>nonEmpty</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="toString()"><!-- --></A><H3>
toString</H3>
<PRE>
public java.lang.String <B>toString</B>()</PRE>
<DL>
<DD><DL>
<DT><B>Overrides:</B><DD><CODE>toString</CODE> in class <CODE>java.lang.Object</CODE></DL>
</DD>
</DL>
<HR>
<A NAME="clone()"><!-- --></A><H3>
clone</H3>
<PRE>
public java.lang.Object <B>clone</B>()</PRE>
<DL>
<DD><DL>
<DT><B>Overrides:</B><DD><CODE>clone</CODE> in class <CODE>java.lang.Object</CODE></DL>
</DD>
</DL>
<HR>
<A NAME="emptyInterval()"><!-- --></A><H3>
emptyInterval</H3>
<PRE>
public static <A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A> <B>emptyInterval</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="fullInterval()"><!-- --></A><H3>
fullInterval</H3>
<PRE>
public static <A HREF="../../../../net/sourceforge/interval/ia_math/RealInterval.html">RealInterval</A> <B>fullInterval</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="main(java.lang.String[])"><!-- --></A><H3>
main</H3>
<PRE>
public static void <B>main</B>(java.lang.String[]&nbsp;args)</PRE>
<DL>
<DD>a test procedure which generates a few intervals
and adds and multiplies them<DD><DL>
</DL>
</DD>
</DL>
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<UL>
<LI TYPE="circle">class java.lang.Object<UL>
<LI TYPE="circle">class net.sourceforge.interval.ia_math.<A HREF="net/sourceforge/interval/ia_math/IAMath.html"><B>IAMath</B></A><LI TYPE="circle">class net.sourceforge.interval.ia_math.<A HREF="net/sourceforge/interval/ia_math/IANarrow.html"><B>IANarrow</B></A><LI TYPE="circle">class net.sourceforge.interval.ia_math.<A HREF="net/sourceforge/interval/ia_math/RealInterval.html"><B>RealInterval</B></A> (implements java.lang.Cloneable)
<LI TYPE="circle">class net.sourceforge.interval.ia_math.<A HREF="net/sourceforge/interval/ia_math/RMath.html"><B>RMath</B></A><LI TYPE="circle">class java.lang.Throwable (implements java.io.Serializable)
<UL>
<LI TYPE="circle">class java.lang.Exception<UL>
<LI TYPE="circle">class java.lang.RuntimeException<UL>
<LI TYPE="circle">class net.sourceforge.interval.ia_math.<A HREF="net/sourceforge/interval/ia_math/IAException.html"><B>IAException</B></A></UL>
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/* Javadoc style sheet */
/* Define colors, fonts and other style attributes here to override the defaults */
/* Page background color */
body { background-color: #FFFFFF }
/* Table colors */
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jastadd-mquat-base/libs/ia_math/net/sourceforge/interval/ia_math/IAException.java deleted 100644 → 0
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package net.sourceforge.interval.ia_math;
/**
* IAException.java
* -- classes implementing interval arithmetic runtime exceptions,
* as part of the "ia_math library" version 0.1beta1, 10/97
* <p>
* Copyright (C) 2000 Timothy J. Hickey
* <p>
* License: <a href="http://interval.sourceforge.net/java/ia_math/licence.txt">zlib/png</a>
* <p>
* These exceptions are thrown when there is a runtime
* error in the Interval Arithmetic methods. The most
* common error is when the interval is empty. In this
* case the message is "Empty Interval".
*/
public class IAException extends RuntimeException {
public IAException() {
super();
}
public IAException(String s) {
super(s);
}
}
jastadd-mquat-base/libs/ia_math/net/sourceforge/interval/ia_math/IANarrow.java deleted 100644 → 0
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package net.sourceforge.interval.ia_math;
/**
* IANarrow.java
* -- classes implementing narrowing of arithmetic and elementary functions,
* as part of the "ia_math library" version 0.1beta1, 10/97
*
* <p>
* Copyright (C) 2000 Timothy J. Hickey
* <p>
* License: <a href="http://interval.sourceforge.net/java/ia_math/licence.txt">zlib/png</a>
* <p>
* the class RealIntervalNarrow contains methods for narrowing
* the arithmetic operations and elementary functions.
*/
public class IANarrow
{
public static boolean
narrow_add(RealInterval c,RealInterval a,RealInterval b) {
try {
c.intersect(IAMath.add(a,b));
a.intersect(IAMath.sub(c,b));
b.intersect(IAMath.sub(c,a));
return true;
}
catch (IAException e) {
return false;
}
}
public static boolean narrow_sub(
RealInterval c,RealInterval a,RealInterval b) {
return narrow_add(a,c,b);
}
/* z = x*y */
public static boolean narrow_mul(
RealInterval z,RealInterval x,RealInterval y) {
try {
z.intersect(IAMath.mul(x,y));
IAMath.intersect_odiv(y,z,x);
IAMath.intersect_odiv(x,z,y);
return true;
} catch (IAException e) {
return false;
}
}
public static boolean narrow_div(
RealInterval a,RealInterval b,RealInterval c) {
return
narrow_mul(b,a,c);
}
public static boolean narrow_uminus(
RealInterval a,RealInterval b) {
try {
a.intersect(IAMath.uminus(b));
b.intersect(IAMath.uminus(a));
return true;
} catch (IAException e) {
return false;
}
}
public static boolean
narrow_exp(RealInterval a,RealInterval b) {
double tmp;
try {
b.intersect(IAMath.exp(a));
a.intersect(IAMath.log(b));
return true;
} catch (IAException e) {
return false;
}
}
public static boolean
narrow_log(RealInterval a,RealInterval b) {
return narrow_exp(b,a);
}
public static boolean
narrow_sin(RealInterval a,RealInterval b) {
try {
b.intersect(IAMath.sin(a));
return true;
}
catch (IAException e) {
return false;
}
// System.out.println("narrow_sin not yet implemented");
}
public static boolean
narrow_cos(RealInterval a,RealInterval b) {
try {
b.intersect(IAMath.cos(a));
return true;
}
catch (IAException e) {
return false;
}
// System.out.println("narrow_cos not yet implemented");
}
public static boolean
narrow_tan(RealInterval a,RealInterval b) {
try {
b.intersect(IAMath.tan(a));
return true;
}
catch (IAException e) {
return false;
}
// System.out.println("narrow_tan not yet implemented");
}
// a = asin(b)
public static boolean
narrow_asin(RealInterval b,RealInterval a) {
try {
b.intersect(new RealInterval(-1.0,1.0));
a.intersect(IAMath.asin(b));
b.intersect(IAMath.sin(a));
return true;
} catch (IAException e) {
return false;
}
}
// a = acos(b)
public static boolean
narrow_acos(RealInterval b,RealInterval a) {
try {
b.intersect(new RealInterval(-1,1));
a.intersect(IAMath.acos(b));
b.intersect(IAMath.cos(a));
return true;
} catch (IAException e) {
return false;
}
}
// a = atan(b)
public static boolean
narrow_atan(RealInterval b,RealInterval a) {
try {
a.intersect(IAMath.atan(b));
b.intersect(IAMath.tan(a));
return true;
} catch (IAException e) {
return false;
}
}
public static boolean
narrow_sin2pi(RealInterval a,RealInterval b) {
System.out.println("narrow_sin2pi not yet implemented");
return true;
}
public static boolean
narrow_cos2pi(RealInterval a,RealInterval b) {
System.out.println("narrow_cos2pi not yet implemented");
return true;
}
public static boolean
narrow_tan2pi(RealInterval a,RealInterval b) {
System.out.println("narrow_tan2pi not yet implemented");
return true;
}
// a = asin(b)
public static boolean
narrow_asin2pi(RealInterval a,RealInterval b) {
System.out.println("asin2pi not yet implemented");
return true;
}
// a = acos(b)
public static boolean
narrow_acos2pi(RealInterval a,RealInterval b) {
System.out.println("acos2pi not yet implemented");
return true;
}
// a = atan(b)
public static boolean
narrow_atan2pi(RealInterval a,RealInterval b) {
System.out.println("atan2pi not yet implemented");
return true;
}
/**
* z = x^y, where y is an integer
*/
public static boolean narrow_carot(
RealInterval z,RealInterval x,RealInterval y) {
try {
// System.out.println("narrow_carot z=x^y with (x,y,z)= "+x+y+z);
// System.out.println(" and x^y = "+IAMath.integerPower(x,y));
z.intersect(IAMath.integerPower(x,y));
// System.out.println(" did z=z cap x^y with (x,y,z)= "+x+y+z);
IAMath.intersectIntegerRoot(z,y,x);
// System.out.println(" did x=x cap z^1/y with (x,y,z)= "+x+y+z);
return true;
} catch (IAException e) {
return false;
}
}
/**
* z = x**y, assuming x > 0 and y is a real number
*/
public static boolean narrow_power(
RealInterval z,RealInterval x,RealInterval y) {
try {
z.intersect(IAMath.power(x,y));
x.intersect(IAMath.power(z,
IAMath.odiv(new RealInterval(1.0),y)));
y.intersect(IAMath.div(IAMath.log(z),IAMath.log(x)));
return true;
} catch (IAException e) {
return false;
}
}
public static boolean narrow_semi(
RealInterval a,RealInterval b,RealInterval c) {
return true;
}
public static boolean narrow_colon_equals(
RealInterval a,RealInterval b,RealInterval c) {
b.lo = c.lo; b.hi = c.hi;
return b.nonEmpty();
}
public static boolean
narrow_equals(RealInterval b,RealInterval c) {
if ((b.lo==b.hi) && b.equals(c))
return(true);
else
try {
b.intersect(c);
c.intersect(b);
return true;
} catch (IAException e) {
return false;
}
}
public static boolean
narrow_eq(RealInterval a,RealInterval b,RealInterval c) {
if ((b.lo==b.hi) && b.equals(c)) {
a.lo = 1.0; a.hi = 1.0;
return(true);
}
else
try {
b.intersect(c);
c.intersect(b);
return true;
} catch (IAException e) {
return false;
}
}
/* x < y */
public static boolean narrow_lt(
RealInterval result,RealInterval x,RealInterval y) {
try {
if (y.lo < x.lo) y.lo = x.lo;
if (x.hi > y.hi) x.hi = y.hi;
if (y.hi <= x.lo)
return false;
else if (x.hi < y.lo) {
result.lo = 1.0; result.hi=1.0;
}
else {
result.intersect(new RealInterval(0.0,1.0));
}
return(x.nonEmpty()&&y.nonEmpty());
} catch (IAException e) {
return false;
}
}
public static boolean narrow_le(
RealInterval r,RealInterval x,RealInterval y) {
try {
if (y.lo <= x.lo) y.lo = x.lo;
if (x.hi >= y.hi) x.hi = y.hi;
if (y.hi < x.lo)
return false;
else if (x.hi <= y.lo) {
r.lo = 1.0; r.hi=1.0;
}
else {
r.intersect(new RealInterval(0.0,1.0));
}
return(x.nonEmpty()&&y.nonEmpty());
} catch (IAException e) {
return false;
}
}
public static boolean narrow_gt(
RealInterval r,RealInterval x,RealInterval y) {
return narrow_lt(r,y,x);
}
public static boolean narrow_ge(
RealInterval r,RealInterval x,RealInterval y) {
return narrow_le(r,y,x);
}
public static boolean narrow_ne(
RealInterval r,RealInterval x,RealInterval y) {
return ((x.lo < x.hi) || (y.lo < y.hi) || (x.lo != y.lo));
}
}
jastadd-mquat-base/libs/ia_math/net/sourceforge/interval/ia_math/RMath.java deleted 100644 → 0
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package net.sourceforge.interval.ia_math;
/**
* RMath.java
* -- classes implementing directed rounding of real numbers,
* as part of the "ia_math library" version 0.1beta1, 10/97
*
* <p>
* Copyright (C) 2000 Timothy J. Hickey
* <p>
* License: <a href="http://interval.sourceforge.net/java/ia_math/licence.txt">zlib/png</a>
* <p>
*
* the class RoundedMath contains methods and constants for
* controling the rounding of the elementary arithmetic operations
* on floating point numbers.
* <p>
* The current Java 1.1 API does not contain any methods for performing
* rounded arithmetic besides the default (round toward nearest).
* <p>
* This version strikes a compromise between efficiency and accuracy.
* @author Tim Hickey
* @version 0.0
*/
public class RMath
{
static double Zero;
static double NegZero;
static {
Zero = 0.0;
NegZero = (-1.0)*(0.0);
}
/**
* return the next larger double precision number
*/
public static double nextfp(double x) {
double y;
if (x==0)
return Double.longBitsToDouble(1);
else if (x < Double.POSITIVE_INFINITY) {
long xx = Double.doubleToLongBits(x);
if (x > 0)
y = Double.longBitsToDouble(xx+1);
else if (x==0) // this case should never happen
y = Double.longBitsToDouble(1);
else
y = Double.longBitsToDouble(xx-1);
return(y);
}else
return (x);
}
public static double prevfp(double x) {
if (x==0)
return(-nextfp(0.0));
else
return(-nextfp(-x));
}
public static double add_lo(double x, double y) {
return(prevfp(x+y));
}
public static double add_hi(double x, double y) {
return(nextfp(x+y));
}
public static double sub_lo(double x, double y) {
return(prevfp(x-y));
}
public static double sub_hi(double x, double y) {
return(nextfp(x-y));
}
public static double mul_lo(double x, double y) {
if ((x==0.0)||(y==0.0)) return(0.0);
return(prevfp(x*y));
}
public static double mul_hi(double x, double y) {
if ((x==0.0)||(y==0.0)) return(0.0);
return(nextfp(x*y));
}
public static double div_lo(double x, double y) {
if (x==0.0) return(0.0);
return(prevfp(x/y));
}
public static double div_hi(double x, double y) {
if (x==0.0) return(0.0);
return(nextfp(x/y));
}
public static double exp_lo(double x) {
if (x==Double.NEGATIVE_INFINITY)
return(0.0);
else if (x < Double.POSITIVE_INFINITY)
return(Math.max(0.0,prevfp(Math.exp(x))));
else return(x);
}
public static double exp_hi(double x) {
if (x==Double.NEGATIVE_INFINITY)
return(0.0);
else if (x < Double.POSITIVE_INFINITY)
return(nextfp(Math.exp(x)));
else return(x);
}
public static double log_lo(double x) {
if (x < 0.0)
return(Double.NaN);
else if (x < Double.POSITIVE_INFINITY)
return(prevfp(Math.log(x)));
else return(x);
}
public static double log_hi(double x) {
if (x < 0.0)
return(Double.NaN);
else if (x < Double.POSITIVE_INFINITY)
return(nextfp(Math.log(x)));
else return(x);
}
public static double sin_lo(double x) {
return(prevfp(Math.sin(x)));
}
public static double sin_hi(double x) {
return(nextfp(Math.sin(x)));
}
public static double cos_lo(double x) {
return(prevfp(Math.cos(x)));
}
public static double cos_hi(double x) {
return(nextfp(Math.cos(x)));
}
public static double tan_lo(double x) {
return(prevfp(Math.tan(x)));
}
public static double tan_hi(double x) {
return(nextfp(Math.tan(x)));
}
public static double asin_lo(double x) {
return(prevfp(Math.asin(x)));
}
public static double asin_hi(double x) {
return(nextfp(Math.asin(x)));
}
public static double acos_lo(double x) {
return(prevfp(Math.acos(x)));
}
public static double acos_hi(double x) {
return(nextfp(Math.acos(x)));
}
public static double atan_lo(double x) {
return(prevfp(Math.atan(x)));
}
public static double atan_hi(double x) {
return(nextfp(Math.atan(x)));
}
/*
These are meant only to be called with
-1/4 <= x < 1/4.
They are only to be used in the
ia_math package.
*/
static double sin2pi_lo(double x) {
return(prevfp(Math.sin(prevfp(Math.PI*2*x))));
}
static double sin2pi_hi(double x) {
return(nextfp(Math.sin(nextfp(Math.PI*2*x))));
}
static double cos2pi_lo(double x) {
if (x > 0)
return(prevfp(Math.cos(nextfp(Math.PI*2*x))));
else
return(prevfp(Math.cos(prevfp(Math.PI*2*x))));
}
static double cos2pi_hi(double x) {
if (x > 0)
return(nextfp(Math.cos(prevfp(Math.PI*2*x))));
else
return(nextfp(Math.cos(nextfp(Math.PI*2*x))));
}
static double tan2pi_lo(double x) {
return(prevfp(Math.tan(prevfp(Math.PI*2*x))));
}
static double tan2pi_hi(double x) {
return(nextfp(Math.tan(nextfp(Math.PI*2*x))));
}
/*
These are meant to be called with
0<=x<=1
where asin2pi(x) = asin(x)/(2*pi), etc.
*/
static double asin2pi_lo(double x) {
return(prevfp(Math.asin(x)/nextfp(Math.PI*2)));
}
static double asin2pi_hi(double x) {
return(nextfp(Math.asin(x)/prevfp(Math.PI*2)));
}
static double acos2pi_lo(double x) {
return(prevfp(Math.acos(x)/nextfp(Math.PI*2)));
}
static double acos2pi_hi(double x) {
return(nextfp(Math.acos(x)/prevfp(Math.PI*2)));
}
static double atan2pi_lo(double x) {
return(prevfp(Math.atan(x)/nextfp(Math.PI*2)));
}
static double atan2pi_hi(double x) {
return(nextfp(Math.atan(x)/prevfp(Math.PI*2)));
}
/**
* returns lower bound on x**y assuming x>0
*/
public static double pow_lo(double x,double y) {
if (x < 0)
return Double.NaN;
else if (x == 0.0)
return 0.0;
else if (y > 0) {
if (x >= 1)
return exp_lo(mul_lo(y,log_lo(x)));
else if (x==1)
return 1.0;
else
return exp_lo(mul_lo(y,log_hi(x)));
}
else if (y == 0)
return 1.0;
else {
if (x >= 1)
return exp_lo(mul_lo(y,log_hi(x)));
else if (x==1)
return 1.0;
else
return exp_lo(mul_lo(y,log_lo(x)));
}
}
/**
* returns upper bound on x**y assuming x>0
*/
public static double pow_hi(double x,double y) {
if (x < 0)
return Double.NaN;
else if (x == 0.0)
return 0.0;
else if (y > 0) {
if (x >= 1)
return exp_hi(mul_hi(y,log_hi(x)));
else if (x==1)
return 1.0;
else
return exp_hi(mul_hi(y,log_lo(x)));
}
else if (y == 0)
return 1.0;
else {
if (x >= 1)
return exp_lo(mul_hi(y,log_lo(x)));
else if (x==1)
return 1.0;
else
return exp_lo(mul_hi(y,log_hi(x)));
}
}
public static void main(String argv[]) {
double a = 1.0e-300;;
System.out.println(" Zero = "+Zero);
System.out.println("NegZero = "+NegZero);
System.out.println("prevfp(Zero) = "+prevfp(Zero));
System.out.println("nextfp(Zero) = "+nextfp(Zero));
System.out.println("a = "+a);
System.out.println("mul_lo(a,a) = "+mul_lo(a,a));
System.out.println("mul_hi(a,a) = "+mul_hi(a,a));
}
}
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