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bhlib/test/reference/point2f.wxmx

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Add line, plane, ray and segments, split math unit test Added some basic geometric primitives such as planes, rays, segments and lines (plus some extra functions like xProject, xBarycentric, Lerpf), as well as some intersection tests between them. Additionally, I split massive math test into smaller ones and tweaked unit test library (testing no longer stops after first failure).
2025-02-24 09:37:22 +03:00
PKNZWZ<57>B<EFBFBD>Hmimetypetext/x-wxmathmlPKNZWZ iQ#44
Refactor math functions, add unit tests After some testing, I decided to ditch the DirectX approach of writing math functions. Additionally, I added unit tests (with reference wxMaxima calculations) for most math functions and fixed several bugs along the way.
2025-01-29 09:14:58 +03:00
format.txt
This file contains a wxMaxima session in the .wxmx format.
.wxmx files are .xml-based files contained in a .zip container like .odt
or .docx files. After changing their name to end in .zip the .xml and
eventual bitmap files inside them can be extracted using any .zip file
viewer.
The reason why part of a .wxmx file still might still seem to make sense in a
ordinary text viewer is that the text portion of .wxmx by default
isn't compressed: The text is typically small and compressing it would
mean that changing a single character would (with a high probability) change
big parts of the whole contents of the compressed .zip archive.
Even if version control tools like git and svn that remember all changes
that were ever made to a file can handle binary files compression would
make the changed part of the file bigger and therefore seriously reduce
the efficiency of version control
wxMaxima can be downloaded from https://github.com/wxMaxima-developers/wxmaxima.
It also is part of the windows installer for maxima
(https://wxmaxima-developers.github.io/wxmaxima/).
If a .wxmx file is broken but the content.xml portion of the file can still be
viewed using a text editor just save the xml's text as "content.xml"
and try to open it using a recent version of wxMaxima.
If it is valid XML (the XML header is intact, all opened tags are closed again,
the text is saved with the text encoding "UTF8 without BOM" and the few
special characters XML requires this for are properly escaped)
chances are high that wxMaxima will be able to recover all code and text
from the XML file.
Add line, plane, ray and segments, split math unit test Added some basic geometric primitives such as planes, rays, segments and lines (plus some extra functions like xProject, xBarycentric, Lerpf), as well as some intersection tests between them. Additionally, I split massive math test into smaller ones and tweaked unit test library (testing no longer stops after first failure).
2025-02-24 09:37:22 +03:00
PKNZWZ[<5B>\<5C>rr content.xml<?xml version="1.0" encoding="UTF-8"?>
Refactor math functions, add unit tests After some testing, I decided to ditch the DirectX approach of writing math functions. Additionally, I added unit tests (with reference wxMaxima calculations) for most math functions and fixed several bugs along the way.
2025-01-29 09:14:58 +03:00
<!-- Created using wxMaxima 22.12.0 -->
<!--https://wxMaxima-developers.github.io/wxmaxima/-->
Add line, plane, ray and segments, split math unit test Added some basic geometric primitives such as planes, rays, segments and lines (plus some extra functions like xProject, xBarycentric, Lerpf), as well as some intersection tests between them. Additionally, I split massive math test into smaller ones and tweaked unit test library (testing no longer stops after first failure).
2025-02-24 09:37:22 +03:00
<wxMaximaDocument version="1.5" zoom="100" activecell="1">
Refactor math functions, add unit tests After some testing, I decided to ditch the DirectX approach of writing math functions. Additionally, I added unit tests (with reference wxMaxima calculations) for most math functions and fixed several bugs along the way.
2025-01-29 09:14:58 +03:00
<cell type="code">
<input>
<editor type="input">
<line>/* Load vectors */</line>
<line>a: [1, 2];</line>
<line>b: [5, 6];</line>
<line>c: [1.5, 2.5];</line>
<line></line>
<line>/* Functions for lerp and slerp */</line>
<line>lerp(a, b, t) := (1-t)*a+t*b;</line>
<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>
<line></line>
<line>/* Operations */</line>
<line>_add: a + b;</line>
<line>_sub: a - b;</line>
<line>_mul: a * b;</line>
<line>_scale: a * 10;</line>
<line>_madd: a * b + c;</line>
<line>_negate: -a;</line>
<line>_dot: a . b;</line>
<line>_cross: determinant(matrix([i, j, k], [a[1], a[2], 0], [b[1], b[2], 0]));</line>
<line>_length: sqrt(a.a);</line>
<line>_normal: a / sqrt(a.a);</line>
<line>_lerpa: lerp(a, b, 0);</line>
<line>_lerph: lerp(a, b, 0.5);</line>
<line>_lerpb: lerp(a, b, 1);</line>
<line>_slerpa: float(slerp(a, b, 0));</line>
<line>_slerph: float(slerp(a, b, 0.5));</line>
<line>_slerpb: float(slerp(a, b, 1));</line>
<line></line>
Add line, plane, ray and segments, split math unit test Added some basic geometric primitives such as planes, rays, segments and lines (plus some extra functions like xProject, xBarycentric, Lerpf), as well as some intersection tests between them. Additionally, I split massive math test into smaller ones and tweaked unit test library (testing no longer stops after first failure).
2025-02-24 09:37:22 +03:00
<line>_bary1: a+0.5*(b-a)+0.5*(c-a);</line>
<line>_bary2: a+0.25*(b-a)+0.5*(c-a);</line>
<line></line>
<line>a:[1,2];</line>
<line>b:[4,3];</line>
<line>c:[4,4];</line>
<line>_bary3: a+0.5*(b-a)+0.5*(c-a);</line>
<line>_bary4: a+0.25*(b-a)+0.5*(c-a);</line>
<line></line>
<line>_project: float(b*((a.b)/(b.b)));</line>
Refactor math functions, add unit tests After some testing, I decided to ditch the DirectX approach of writing math functions. Additionally, I added unit tests (with reference wxMaxima calculations) for most math functions and fixed several bugs along the way.
2025-01-29 09:14:58 +03:00
</editor>
</input>
<output>
Add line, plane, ray and segments, split math unit test Added some basic geometric primitives such as planes, rays, segments and lines (plus some extra functions like xProject, xBarycentric, Lerpf), as well as some intersection tests between them. Additionally, I split massive math test into smaller ones and tweaked unit test library (testing no longer stops after first failure).
2025-02-24 09:37:22 +03:00
<mth><lbl altCopy="(a) " tooltip="a" userdefined="yes" userdefinedlabel="a">(%o1) </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">(%o2) </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">(%o3) </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="(%o4) ">(%o4) </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="(%o5) ">(%o5) </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">(%o6) </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">(%o7) </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">(%o8) </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">(%o9) </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">(%o10) </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">(%o11) </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) " userdefined="yes" userdefinedlabel="_dot">(%o12) </lbl><n>17</n><lbl altCopy="(_cross) " userdefined="yes" userdefinedlabel="_cross">(%o13) </lbl><v>−</v><n>4</n><h>·</h><v>k</v><lbl altCopy="(_length) " userdefined="yes" userdefinedlabel="_length">(%o14) </lbl><q><n>5</n></q><lbl altCopy="(_normal) " userdefined="yes" userdefinedlabel="_normal">(%o15) </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) " userdefined="yes" userdefinedlabel="_lerpa">(%o16) </lbl><r list="true"><t listdelim="true">[</t><n>1</n><fnm>,</fnm><n>2</n><t listdelim="true">]</t></r><lbl altCopy="(_lerph) " userdefined="yes" userdefinedlabel="_lerph">(%o17) </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) " userdefined="yes" userdefinedlabel="_lerpb">(%o18) </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">(%o19) </lbl><r list="true"><t listdelim="true">[</t><n>1.0</n><fnm>,</fnm><n>2.0</n><t listdelim="true">]</t></r><lbl altCopy="(_slerph) " tooltip="_slerph" userdefined="yes" u
Refactor math functions, add unit tests After some testing, I decided to ditch the DirectX approach of writing math functions. Additionally, I added unit tests (with reference wxMaxima calculations) for most math functions and fixed several bugs along the way.
2025-01-29 09:14:58 +03:00
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).
Add line, plane, ray and segments, split math unit test Added some basic geometric primitives such as planes, rays, segments and lines (plus some extra functions like xProject, xBarycentric, Lerpf), as well as some intersection tests between them. Additionally, I split massive math test into smaller ones and tweaked unit test library (testing no longer stops after first failure).
2025-02-24 09:37:22 +03:00
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">(%o21) </lbl><r list="true"><t listdelim="true">[</t><n>5.0</n><fnm>,</fnm><n>6.0</n><t listdelim="true">]</t></r><lbl altCopy="(_bary1) " tooltip="_bary1" userdefined="yes" userdefinedlabel="_bary1">(%o22) </lbl><r list="true"><t listdelim="true">[</t><n>3.25</n><fnm>,</fnm><n>4.25</n><t listdelim="true">]</t></r><lbl altCopy="(_bary2) " tooltip="_bary2" userdefined="yes" userdefinedlabel="_bary2">(%o23) </lbl><r list="true"><t listdelim="true">[</t><n>2.25</n><fnm>,</fnm><n>3.25</n><t listdelim="true">]</t></r><lbl altCopy="(a) " tooltip="a" userdefined="yes" userdefinedlabel="a">(%o24) </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">(%o25) </lbl><r list="true"><t listdelim="true">[</t><n>4</n><fnm>,</fnm><n>3</n><t listdelim="true">]</t></r><lbl altCopy="(c) " tooltip="c" userdefined="yes" userdefinedlabel="c">(%o26) </lbl><r list="true"><t listdelim="true">[</t><n>4</n><fnm>,</fnm><n>4</n><t listdelim="true">]</t></r><lbl altCopy="(_bary3) " tooltip="_bary3" userdefined="yes" userdefinedlabel="_bary3">(%o27) </lbl><r list="true"><t listdelim="true">[</t><n>4.0</n><fnm>,</fnm><n>3.5</n><t listdelim="true">]</t></r><lbl altCopy="(_bary4) " tooltip="_bary4" userdefined="yes" userdefinedlabel="_bary4">(%o28) </lbl><r list="true"><t listdelim="true">[</t><n>3.25</n><fnm>,</fnm><n>3.25</n><t listdelim="true">]</t></r><lbl altCopy="(_project) " tooltip="_project" userdefined="yes" userdefinedlabel="_project">(%o29) </lbl><r list="true"><t listdelim="true">[</t><n>1.6</n><fnm>,</fnm><n>1.2</n><t listdelim="true">]</t></r>
Refactor math functions, add unit tests After some testing, I decided to ditch the DirectX approach of writing math functions. Additionally, I added unit tests (with reference wxMaxima calculations) for most math functions and fixed several bugs along the way.
2025-01-29 09:14:58 +03:00
</mth></output>
</cell>
Add line, plane, ray and segments, split math unit test Added some basic geometric primitives such as planes, rays, segments and lines (plus some extra functions like xProject, xBarycentric, Lerpf), as well as some intersection tests between them. Additionally, I split massive math test into smaller ones and tweaked unit test library (testing no longer stops after first failure).
2025-02-24 09:37:22 +03:00
</wxMaximaDocument>PK NZWZ<57>B<EFBFBD>HmimetypePK NZWZ iQ#44
5format.txtPK NZWZ[<5B>\<5C>rr <00>content.xmlPK<00>,&
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