79 lines
8.0 KiB
Plaintext
79 lines
8.0 KiB
Plaintext
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PK <00>v9Z<39>B<EFBFBD>H mimetypetext/x-wxmathmlPK <00>v9Z iQ#4 4
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format.txt
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This file contains a wxMaxima session in the .wxmx format.
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.wxmx files are .xml-based files contained in a .zip container like .odt
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or .docx files. After changing their name to end in .zip the .xml and
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eventual bitmap files inside them can be extracted using any .zip file
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viewer.
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The reason why part of a .wxmx file still might still seem to make sense in a
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ordinary text viewer is that the text portion of .wxmx by default
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isn't compressed: The text is typically small and compressing it would
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mean that changing a single character would (with a high probability) change
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big parts of the whole contents of the compressed .zip archive.
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Even if version control tools like git and svn that remember all changes
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that were ever made to a file can handle binary files compression would
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make the changed part of the file bigger and therefore seriously reduce
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the efficiency of version control
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wxMaxima can be downloaded from https://github.com/wxMaxima-developers/wxmaxima.
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It also is part of the windows installer for maxima
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(https://wxmaxima-developers.github.io/wxmaxima/).
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If a .wxmx file is broken but the content.xml portion of the file can still be
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viewed using a text editor just save the xml's text as "content.xml"
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and try to open it using a recent version of wxMaxima.
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If it is valid XML (the XML header is intact, all opened tags are closed again,
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the text is saved with the text encoding "UTF8 without BOM" and the few
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special characters XML requires this for are properly escaped)
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chances are high that wxMaxima will be able to recover all code and text
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from the XML file.
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PK <00>v9Z<39><5A> <0B><> <00> content.xml<?xml version="1.0" encoding="UTF-8"?>
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<!-- Created using wxMaxima 22.12.0 -->
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<!--https://wxMaxima-developers.github.io/wxmaxima/-->
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<wxMaximaDocument version="1.5" zoom="100">
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<cell type="code">
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<input>
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<editor type="input">
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<line>/* Load vectors */</line>
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<line>a: [1, 2];</line>
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<line>b: [5, 6];</line>
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<line>c: [1.5, 2.5];</line>
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<line></line>
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<line>/* Functions for lerp and slerp */</line>
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<line>lerp(a, b, t) := (1-t)*a+t*b;</line>
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<line>slerp(a, b, t) := (sin((1-t)*acos(a.b))/sin(acos(a.b)))*a+(sin(t*acos(a.b))/sin(acos(a.b)))*b;</line>
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<line></line>
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<line>/* Operations */</line>
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<line>_add: a + b;</line>
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<line>_sub: a - b;</line>
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<line>_mul: a * b;</line>
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<line>_scale: a * 10;</line>
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<line>_madd: a * b + c;</line>
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<line>_negate: -a;</line>
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<line>_dot: a . b;</line>
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<line>_cross: determinant(matrix([i, j, k], [a[1], a[2], 0], [b[1], b[2], 0]));</line>
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<line>_length: sqrt(a.a);</line>
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<line>_normal: a / sqrt(a.a);</line>
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<line>_lerpa: lerp(a, b, 0);</line>
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<line>_lerph: lerp(a, b, 0.5);</line>
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<line>_lerpb: lerp(a, b, 1);</line>
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<line>_slerpa: float(slerp(a, b, 0));</line>
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<line>_slerph: float(slerp(a, b, 0.5));</line>
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<line>_slerpb: float(slerp(a, b, 1));</line>
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<line></line>
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</editor>
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</input>
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<output>
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<mth><lbl altCopy="(a) " tooltip="a" userdefined="yes" userdefinedlabel="a">(%o22) </lbl><r list="true"><t listdelim="true">[</t><n>1</n><fnm>,</fnm><n>2</n><t listdelim="true">]</t></r><lbl altCopy="(b) " tooltip="b" userdefined="yes" userdefinedlabel="b">(%o23) </lbl><r list="true"><t listdelim="true">[</t><n>5</n><fnm>,</fnm><n>6</n><t listdelim="true">]</t></r><lbl altCopy="(c) " tooltip="c" userdefined="yes" userdefinedlabel="c">(%o24) </lbl><r list="true"><t listdelim="true">[</t><n>1.5</n><fnm>,</fnm><n>2.5</n><t listdelim="true">]</t></r><lbl altCopy="(%o25) ">(%o25) </lbl><fn><r><fnm>lerp</fnm></r><r><p><v>a</v><fnm>,</fnm><v>b</v><fnm>,</fnm><v>t</v></p></r></fn><fnm>:=</fnm><r><p><n>1</n><v>−</v><v>t</v></p></r><h>·</h><v>a</v><v>+</v><v>t</v><h>·</h><v>b</v><lbl altCopy="(%o26) ">(%o26) </lbl><fn><r><fnm>slerp</fnm></r><r><p><v>a</v><fnm>,</fnm><v>b</v><fnm>,</fnm><v>t</v></p></r></fn><fnm>:=</fnm><f><r><fn><r><fnm>sin</fnm></r><r><p><r><p><n>1</n><v>−</v><v>t</v></p></r><h>·</h><fn><r><fnm>acos</fnm></r><r><p><v>a</v><v> . </v><v>b</v></p></r></fn></p></r></fn></r><r><fn><r><fnm>sin</fnm></r><r><p><fn><r><fnm>acos</fnm></r><r><p><v>a</v><v> . </v><v>b</v></p></r></fn></p></r></fn></r></f><h>·</h><v>a</v><v>+</v><f><r><fn><r><fnm>sin</fnm></r><r><p><v>t</v><h>·</h><fn><r><fnm>acos</fnm></r><r><p><v>a</v><v> . </v><v>b</v></p></r></fn></p></r></fn></r><r><fn><r><fnm>sin</fnm></r><r><p><fn><r><fnm>acos</fnm></r><r><p><v>a</v><v> . </v><v>b</v></p></r></fn></p></r></fn></r></f><h>·</h><v>b</v><lbl altCopy="(_add) " tooltip="_add" userdefined="yes" userdefinedlabel="_add">(%o27) </lbl><r list="true"><t listdelim="true">[</t><n>6</n><fnm>,</fnm><n>8</n><t listdelim="true">]</t></r><lbl altCopy="(_sub) " tooltip="_sub" userdefined="yes" userdefinedlabel="_sub">(%o28) </lbl><r list="true"><t listdelim="true">[</t><v>−</v><n>4</n><fnm>,</fnm><v>−</v><n>4</n><t listdelim="true">]</t></r><lbl altCopy="(_mul) " tooltip="_mul" userdefined="yes" userdefinedlabel="_mul">(%o29) </lbl><r list="true"><t listdelim="true">[</t><n>5</n><fnm>,</fnm><n>12</n><t listdelim="true">]</t></r><lbl altCopy="(_scale) " tooltip="_scale" userdefined="yes" userdefinedlabel="_scale">(%o30) </lbl><r list="true"><t listdelim="true">[</t><n>10</n><fnm>,</fnm><n>20</n><t listdelim="true">]</t></r><lbl altCopy="(_madd) " tooltip="_madd" userdefined="yes" userdefinedlabel="_madd">(%o31) </lbl><r list="true"><t listdelim="true">[</t><n>6.5</n><fnm>,</fnm><n>14.5</n><t listdelim="true">]</t></r><lbl altCopy="(_negate) " tooltip="_negate" userdefined="yes" userdefinedlabel="_negate">(%o32) </lbl><r list="true"><t listdelim="true">[</t><v>−</v><n>1</n><fnm>,</fnm><v>−</v><n>2</n><t listdelim="true">]</t></r><lbl altCopy="(_dot) " tooltip="_dot" userdefined="yes" userdefinedlabel="_dot">(%o33) </lbl><n>17</n><lbl altCopy="(_cross) " tooltip="_cross" userdefined="yes" userdefinedlabel="_cross">(%o34) </lbl><v>−</v><n>4</n><h>·</h><v>k</v><lbl altCopy="(_length) " tooltip="_length" userdefined="yes" userdefinedlabel="_length">(%o35) </lbl><q><n>5</n></q><lbl altCopy="(_normal) " tooltip="_normal" userdefined="yes" userdefinedlabel="_normal">(%o36) </lbl><r list="true"><t listdelim="true">[</t><f><r><n>1</n></r><r><q><n>5</n></q></r></f><fnm>,</fnm><f><r><n>2</n></r><r><q><n>5</n></q></r></f><t listdelim="true">]</t></r><lbl altCopy="(_lerpa) " tooltip="_lerpa" userdefined="yes" userdefinedlabel="_lerpa">(%o37) </lbl><r list="true"><t listdelim="true">[</t><n>1</n><fnm>,</fnm><n>2</n><t listdelim="true">]</t></r><lbl altCopy="(_lerph) " tooltip="_lerph" userdefined="yes" userdefinedlabel="_lerph">(%o38) </lbl><r list="true"><t listdelim="true">[</t><n>3.0</n><fnm>,</fnm><n>4.0</n><t listdelim="true">]</t></r><lbl altCopy="(_lerpb) " tooltip="_lerpb" userdefined="yes" userdefinedlabel="_lerpb">(%o39) </lbl><r list="true"><t listdelim="true">[</t><n>5</n><fnm>,</fnm><n>6</n><t listdelim="true">]</t></r><lbl altCopy="(_slerpa) " tooltip="_slerpa" userdefined="yes" userdefinedlabel="_slerpa">(%o40) </lbl><r list="true"><t listdelim="true"
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If this seems to be the case here the error can be avoided by using exact numbers like 1/10, 1*10^-1 or rat(.1).
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It also can be hidden by setting fpprintprec to an appropriate value. But be aware in this case that even small errors can add up.">0.9999999999999998</n><fnm>,</fnm><n>1.333333333333334</n><t listdelim="true">]</t></r><lbl altCopy="(_slerpb) " tooltip="_slerpb" userdefined="yes" userdefinedlabel="_slerpb">(%o42) </lbl><r list="true"><t listdelim="true">[</t><n>5.0</n><fnm>,</fnm><n>6.0</n><t listdelim="true">]</t></r>
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</mth></output>
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</cell>
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</wxMaximaDocument>PK <00>v9Z<39>B<EFBFBD>H mimetypePK <00>v9Z iQ#4 4
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5 format.txtPK <00>v9Z<39><5A> <0B><> <00> <00> content.xmlPK <00> M
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