EnCLFunctions.mw revision 6c3ce177a0ad551edaae7daa17772b12f77a86da
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<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal"><Font bold="true" size="14">EnCLFunctions v1.0 - EnCL special interface functions for Maple </Font>
EnCLFunctions provides the functions needed for interfacing Maple with Hets.</Text-field>
<Text-field style="Normal" layout="Normal">
###########################################################################
Module header
###########################################################################
</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">EnCLFunctions:=module()
export fthrt, maxloc, reldist, reldistLe;
option package;
description "Interface functions for Hets";
<Font style="Normal"> </Font></Text-field>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal">-----------------------------------------------------------------------------</Text-field>
<Text-field style="Normal" layout="Normal"> PROCEDURE -fthrt</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">This procedure computes the fourth root</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">fthrt:=proc(x) sqrt(sqrt(x)) end:</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal">-----------------------------------------------------------------------------</Text-field>
<Text-field style="Normal" layout="Normal"> PROCEDURE -maxloc</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">This procedure computes the location where the given function takes its maximum</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">maxloc:=proc(t,x,a,b)</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal"> rhs(maximize(t, x=a..b, location)[2,1,1,1])</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">end:</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal">-----------------------------------------------------------------------------</Text-field>
<Text-field style="Normal" layout="Normal"> PROCEDURE -reldist</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">This procedure computes the relative distance of the arguments</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">reldist:=proc(t,s)</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal"> if t = 0 and s = 0 then 0</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal"> else 2*abs(t-s)/(abs(t) + abs(s))</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal"> fi;</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">end:</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal">-----------------------------------------------------------------------------</Text-field>
<Text-field style="Normal" layout="Normal"> PROCEDURE -reldistLe</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">This procedure computes if the relative distance of the first two argument is lower or equal to the third argument</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">reldistLe:=proc(t,s,e)</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal"> if t = undef then false</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal"> else is(evalf(reldist(t,s) <= e))</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal"> fi;</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">end:</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">end module:</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">end package EnCLFunctions</Text-field>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal">Disclaimer:</Text-field>
<Text-field style="_pstyle256" layout="_pstyle256">While every effort has been made to validate the solutions in this package,</Text-field>
<Text-field style="_pstyle257" layout="_pstyle257">Waterloo Maple Inc. and the contributors are not responsible for any errors</Text-field>
<Text-field style="_pstyle258" layout="_pstyle258">contained and are not liable for any damages resulting from the use of this</Text-field>
<Text-field style="_pstyle259" layout="_pstyle259">material.</Text-field>
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<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal">###########################################################################</Text-field>
<Text-field style="Normal" layout="Normal">Installation:</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">* execute this:</Text-field>
<Text-field prompt="> " style="Maple Input" layout="Normal">libname:="/home/ewaryst/data/Maple/lib", libname;</Text-field>
</Input>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"></Text-field>
</Input>
<Input>
<Text-field style="Text" layout="Normal">* go to the module-definition and hit Enter</Text-field>
</Input>
<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">* Execute the savelib-command</Text-field>
</Input>
<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal">savelib('EnCLFunctions');</Text-field>
</Input>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">You're done!</Text-field>
</Input>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="> " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</Worksheet>