├── README.md
├── theoreticalMeshTester.cs
├── theoreticalMesh.cs
└── LICENSE


/README.md:
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 1 | # UnityMeshTools
 2 | ![Alt Text](https://giant.gfycat.com/CreativeBrownKusimanse.gif)
 3 | 
 4 | Makes mesh creation easier by adding an easily manipulated abstract mesh interface. UV maps are automatically applied and scaled to correct proportions.
 5 | 
 6 | # Here are all the methods in theoreticalMesh.cs so far:
 7 | **mesh integration**
 8 | 
 9 | adopt() takes a mesh as input and combines it with the rest of the mesh data.
10 | 
11 | constructMesh() takes all of the data you've dumped into it and turns it into a standard unity Mesh
12 | 
13 | **shape creation**
14 | 
15 | addTriangle() - takes 3 points and converts to a single triangle (clockwise faces up)
16 | 
17 | addQuad() - takes 4 points and makes a 2-triangle quad (clockwise also faces up)
18 | 
19 | addNgon() - takes a list of points + middlepoint and makes a triangle fan with the midpoint in the center
20 | 
21 | addRaisedNgon() - takes a list of points, a magnitude, and direction. It's an N-gon with added thiccness.
22 | 
23 | addCube() - makes a cube. First four points are clockwise on top, 2nd four points are clockwise on bottom.
24 | 
25 | addRibbon() - a ribbon is just a series of quads that are sowed together side by side. The list should have points in a zigzag pattern:
26 | 
27 | | 1 | 3 | 5 | 7   |
28 | |---|---|---|-----|
29 | | 2 | 4 | 6 | ... |
30 | 


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/theoreticalMeshTester.cs:
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 1 | using System.Collections;
 2 | using System.Collections.Generic;
 3 | using UnityEngine;
 4 | 
 5 | //This test class has many good examples of how to use the theoretical mesh
 6 | 
 7 | public class theoreticalMeshTester : MonoBehaviour {
 8 | 
 9 |     public Mesh testMesh;
10 |     public Material testMaterial;
11 | 
12 |     private MeshFilter myFilter;
13 |     private MeshRenderer myRenderer;
14 | 
15 | 	void Start () {
16 |         myFilter = gameObject.AddComponent<MeshFilter>();
17 |         myRenderer = gameObject.AddComponent<MeshRenderer>();
18 | 
19 |         performTest();
20 | 	}
21 | 
22 |     [ContextMenu("perform test")]
23 |     void performTest()
24 |     {
25 |         //this theoretical mesh will be manipulated and converted into a mesh at the end.
26 |         theoreticalMesh t = new theoreticalMesh();
27 |         myRenderer.material = testMaterial;
28 | 
29 |         //-------------------------------ADD TRIANGLE
30 |         t.addTriangle(Vector3.zero + Vector3.forward, Vector3.forward + Vector3.forward, Vector3.right + Vector3.forward);
31 | 
32 |         //-------------------------------ADD QUAD
33 |         t.addQuad(Vector3.forward + Vector3.up, Vector3.right + Vector3.up, Vector3.back + Vector3.up, Vector3.left + Vector3.up);
34 | 
35 |         //-------------------------------ADD Cube
36 |         Vector3 offset1 = Vector3.down;
37 |         Vector3 offset2 = Vector3.down * 2;
38 | 
39 |         t.addCube(Vector3.forward + offset1, Vector3.right + offset1, Vector3.back + offset1, Vector3.left + offset1,
40 |             Vector3.forward + offset2, Vector3.right + offset2, Vector3.back + offset2, Vector3.left + offset2);
41 | 
42 |         //-------------------------------ADD NGON
43 |         List<Vector3> circle = new List<Vector3>();
44 |         for (int i = 0; i < 360; i += 10)
45 |         {
46 |             circle.Add(Quaternion.Euler(0, i, 0) * Vector3.forward);
47 |         }
48 |         t.addNgon(circle);
49 | 
50 |         //-------------------------------ADD RIBBON
51 |         List<Vector3> circleRibbon = new List<Vector3>();
52 |         circle.Add(Vector3.forward);
53 |         for (int i = circle.Count - 1; i >= 0; i--)
54 |         {
55 |             circleRibbon.Add(circle[i]);
56 |             circleRibbon.Add(circle[i] + (Vector3.down * .5f));
57 |         }
58 |         t.addRibbon(circleRibbon);
59 | 
60 |         Vector3 topVec = Vector3.forward * 4;
61 |         Vector3 bottomVec = Vector3.forward * 3;
62 |         List<Vector3> rectangleRibbon = new List<Vector3>();
63 |         rectangleRibbon.Add(topVec);
64 |         rectangleRibbon.Add(bottomVec);
65 |         rectangleRibbon.Add(topVec + Vector3.right);
66 |         rectangleRibbon.Add(bottomVec + Vector3.right);
67 |         rectangleRibbon.Add(topVec + Vector3.right * 2 + Vector3.up * .5f);
68 |         rectangleRibbon.Add(bottomVec + Vector3.right * 2 + Vector3.up * .5f);
69 |         rectangleRibbon.Add(topVec + Vector3.right * 3);
70 |         rectangleRibbon.Add(bottomVec + Vector3.right * 3);
71 | 
72 |         rectangleRibbon.Add(topVec + Vector3.right * 4);
73 |         rectangleRibbon.Add(bottomVec + Vector3.right * 4);
74 | 
75 |         rectangleRibbon.Add(topVec + Vector3.right * 4 + Vector3.up);
76 |         rectangleRibbon.Add(bottomVec + Vector3.right * 4 + Vector3.up);
77 | 
78 |         t.addRibbon(rectangleRibbon);
79 | 
80 |         for (int i = 0; i < rectangleRibbon.Count; i++)
81 |         {
82 |             rectangleRibbon[i] += Vector3.forward * 2;
83 |         }
84 | 
85 |         t.addRibbon(rectangleRibbon, 30);
86 | 
87 |         //-------------------------------ADOPT MESH
88 |         t.adopt(testMesh);
89 | 
90 |         //-------------------------------CONSTRUCT MESH
91 |         myFilter.mesh = t.constructMesh();
92 |     }
93 | }
94 | 


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/theoreticalMesh.cs:
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  1 | using System.Collections;
  2 | using System.Collections.Generic;
  3 | using UnityEngine;
  4 | using System;
  5 | 
  6 | /*This class makes mesh creation easier by adding an easily manipulated abstract mesh interface.
  7 | * UV maps are automatically applied and scaled to correct proportions.
  8 | *
  9 | * Author: Andrew Quist
 10 | *
 11 | *
 12 | * Usage: make a new theoreticalMesh object. Add polygons with the given functions.
 13 | * When you're satisfied, use the constructMesh() function to generate the full mesh object
 14 | * for use in Unity. Enjoy!
 15 | */
 16 | 
 17 | public class theoreticalMesh {
 18 | 
 19 |     private List<Vector3> verts;
 20 |     private List<int> tris;
 21 |     private List<Vector2> uvs;
 22 | 
 23 |     public theoreticalMesh()
 24 |     {
 25 |         verts = new List<Vector3>();
 26 |         tris = new List<int>();
 27 |         uvs = new List<Vector2>();
 28 |     }
 29 | 
 30 |     public theoreticalMesh(Mesh aMesh)
 31 |     {
 32 |         adopt(aMesh);
 33 |     }
 34 | 
 35 |     /*
 36 |     * addRaisedNgon() - takes a list of points, a magnitude, and direction. It's an N-gon with added thiccness.
 37 |     */
 38 |     public void addRaisedNgon(List<Vector3> points, float height, Vector3 direction, bool fillBottom)
 39 |     {
 40 |         List<Vector3> raisedPoints = new List<Vector3>();
 41 | 
 42 |         for (int i = 0; i < points.Count; i++)
 43 |         {
 44 |             raisedPoints.Add( points[i] + direction * height);
 45 |         }
 46 | 
 47 |         addNgon(raisedPoints);
 48 | 
 49 |         List<Vector3> ribbonPoints = new List<Vector3>();
 50 | 
 51 |         for (int i = points.Count - 1; i >= 0; i--)
 52 |         {
 53 |             ribbonPoints.Add(raisedPoints[i]);
 54 |             ribbonPoints.Add(points[i]);
 55 |         }
 56 | 
 57 |         ribbonPoints.Add(raisedPoints[points.Count - 1]);
 58 |         ribbonPoints.Add(points[points.Count - 1]);
 59 | 
 60 |         addRibbon(ribbonPoints, 10);
 61 | 
 62 |         if (fillBottom)
 63 |         {
 64 |             List<Vector3> reversePoints = new List<Vector3>();
 65 | 
 66 |             for(int i = points.Count - 1; i >= 0; i--)
 67 |             {
 68 |                 reversePoints.Add(points[i]);
 69 |             }
 70 | 
 71 |             addNgon(reversePoints);
 72 |         }
 73 |     }
 74 | 
 75 |     /*
 76 |      * a ribbon is just a series of quads that are sowed together side by side. The list must put each segment side by side:
 77 |      *                            1---3---5---7
 78 |      * example list and diagram:  |   |   |   |  etc....
 79 |      *                            2---4---6---8
 80 |      */
 81 |     public void addRibbon(List<Vector3> points)
 82 |     {
 83 |         addRibbon(points, float.PositiveInfinity);
 84 |     }
 85 |     /*
 86 |      * this Version of a ribbon only smooths angles that are lower than the smoothing angle.
 87 |      */
 88 |     public void addRibbon(List<Vector3> points, float smoothingAngle)
 89 |     {
 90 |         int theSize = points.Count;
 91 |         int vertOffset = verts.Count - 1;
 92 | 
 93 |         if (theSize % 2 == 1)
 94 |         {
 95 |             theSize -= 1;
 96 | 
 97 |             if (theSize < 4)
 98 |             {
 99 |                 Debug.Log("not enough ribbon points");
100 |                 return;
101 |             }
102 |         }
103 | 
104 |         verts.Add(points[0]);
105 |         verts.Add(points[1]);
106 | 
107 |         uvs.Add(new Vector2(0, 1));
108 |         uvs.Add(new Vector2(0, 0));
109 | 
110 |         vertOffset += 2;
111 | 
112 |         float uvDistance = 0;
113 |         float distanceScale = Vector3.Distance(points[0], points[1]);
114 | 
115 |         for (int i = 2; i < theSize - 1; i += 2)
116 |         {
117 |             float angleValue = 0;
118 |             float angleValue2 = 0;
119 | 
120 |             try
121 |             {
122 |                 angleValue = Mathf.Abs( Vector3.Angle(points[i - 4] - points[i - 2], points[i - 2] - points[i]));
123 |                 //Debug.Log("angle " + i + " = " + angleValue);
124 |                 angleValue2 = Mathf.Abs( Vector3.Angle(points[i - 3] - points[i - 1], points[i - 1] - points[i + 1]));
125 |                 //Debug.Log("angle " + (i + 1) + " = " + angleValue2);
126 |             }
127 |             catch (Exception e)
128 |             {
129 |                 //
130 |             }
131 | 
132 |             if (((angleValue + angleValue2) / 2) < smoothingAngle)
133 |             {
134 | 
135 |                 verts.Add(points[i]);
136 |                 verts.Add(points[i + 1]);
137 | 
138 |                 uvDistance += Vector3.Distance(points[i], points[i - 2]) / distanceScale;
139 | 
140 |                 uvs.Add(new Vector2(uvDistance, 1));
141 |                 uvs.Add(new Vector2(uvDistance, 0));
142 | 
143 |                 vertOffset += 2;
144 | 
145 |                 tris.Add(vertOffset - 3);
146 |                 tris.Add(vertOffset - 1);
147 |                 tris.Add(vertOffset);
148 | 
149 |                 tris.Add(vertOffset);
150 |                 tris.Add(vertOffset - 2);
151 |                 tris.Add(vertOffset - 3);
152 |             }
153 |             else
154 |             {
155 |                 verts.Add(points[i - 2]);
156 |                 verts.Add(points[i - 1]);
157 |                 verts.Add(points[i]);
158 |                 verts.Add(points[i + 1]);
159 | 
160 |                 uvs.Add(new Vector2(uvDistance, 1));
161 |                 uvs.Add(new Vector2(uvDistance, 0));
162 | 
163 |                 uvDistance += Vector3.Distance(points[i], points[i - 2]) / distanceScale;
164 | 
165 |                 uvs.Add(new Vector2(uvDistance, 1));
166 |                 uvs.Add(new Vector2(uvDistance, 0));
167 | 
168 |                 vertOffset += 4;
169 | 
170 |                 tris.Add(vertOffset - 3);
171 |                 tris.Add(vertOffset - 1);
172 |                 tris.Add(vertOffset);
173 | 
174 |                 tris.Add(vertOffset);
175 |                 tris.Add(vertOffset - 2);
176 |                 tris.Add(vertOffset - 3);
177 |             }
178 |         }
179 |     }
180 | 
181 | 
182 |     /*
183 |      * takes a list of points + middlepoint and makes a triangle fan with the midpoint in the center
184 |      */
185 |     public void addNgon(Vector3 center, List<Vector3> points)
186 |     {
187 |         int theSize = points.Count;
188 |         int oldSize = verts.Count;
189 | 
190 |         float averageDist = 0;
191 |         foreach (Vector3 p in points )
192 |         {
193 |             averageDist += Vector3.Distance(p, center);
194 |         }
195 |         averageDist /= points.Count;
196 | 
197 |         //to find the angle from A to C with pivot B:     Vector3.Angle(b - a, b - c);
198 |         float accumAngle = 0;
199 | 
200 |         verts.Add(center);
201 |         Vector2 centerUV = new Vector2(.5f, .5f);
202 |         uvs.Add(centerUV);
203 | 
204 |         verts.Add(points[0]);
205 |         uvs.Add(findNgonUVCoordinates(averageDist, Vector3.Distance(points[0], center), 0));
206 | 
207 |         for (int i = 1; i < theSize; i++)
208 |         {
209 |             
210 |             verts.Add(points[i]);
211 | 
212 |             accumAngle += Vector3.Angle(center - points[i - 1], center - points[i]);
213 |             float relativeAngle = Vector3.Angle(center - points[0], center - points[i]);
214 |             if(accumAngle > 180)
215 |             {
216 |                 relativeAngle *= -1;
217 |             }
218 | 
219 |             uvs.Add(findNgonUVCoordinates(averageDist, Vector3.Distance(points[i], center), relativeAngle));
220 | 
221 |             tris.Add(oldSize);
222 |             tris.Add(oldSize + i);
223 |             tris.Add(oldSize + i + 1);
224 | 
225 |         }
226 | 
227 |         tris.Add(oldSize);
228 |         tris.Add(oldSize + theSize);
229 |         tris.Add(oldSize + 1);
230 |         
231 |     }
232 | 
233 |     private Vector2 findNgonUVCoordinates(float avgDist, float distFromCenter, float angleFromPoint1)
234 |     {
235 |         Vector2 centerUV = new Vector2(.5f, .5f);
236 |         float UVdist = distFromCenter / avgDist;
237 |         Vector2 startVec = (Vector2.left * .5f) * UVdist;
238 |         
239 |         Vector2 answer = centerUV + startVec.Rotate(angleFromPoint1);
240 |         return answer;
241 |     }
242 | 
243 |     //This version takes the average of the points and makes it the center
244 |     public void addNgon(List<Vector3> points)
245 |     {
246 |         float x = 0f;
247 |         float y = 0f;
248 |         float z = 0f;
249 |         foreach (Vector3 pos in points)
250 |         {
251 |             x += pos.x;
252 |             y += pos.y;
253 |             z += pos.z;
254 |         }
255 |         Vector3 center = new Vector3(x / points.Count, y / points.Count, z / points.Count);
256 | 
257 |         addNgon(center, points);
258 |     }
259 |     /*
260 |      * makes a cube. First four points are clockwise on top, 2nd four points are clockwise on bottom.
261 |      */
262 |     public void addCube(Vector3 p1, Vector3 p2, Vector3 p3, Vector3 p4,  //top four
263 |         Vector3 p5, Vector3 p6, Vector3 p7, Vector3 p8)  //bottom four
264 |     {
265 |         addQuad(p1, p2, p3, p4);
266 |         addQuad(p8, p7, p6, p5);
267 |         addQuad(p2, p1, p5, p6);
268 |         addQuad(p3, p2, p6, p7);
269 |         addQuad(p4, p3, p7, p8);
270 |         addQuad(p1, p4, p8, p5);
271 | 
272 |     }
273 |     /*
274 |      * takes 3 points and converts to a single triangle (clockwise faces up)
275 |      */
276 |     public void addTriangle(Vector3 p1, Vector3 p2, Vector3 p3)
277 |     {
278 |         int oldSize = verts.Count;
279 | 
280 |         verts.Add(p1);
281 |         verts.Add(p2);
282 |         verts.Add(p3);
283 | 
284 |         uvs.Add(new Vector2(0, 1));
285 |         uvs.Add(new Vector2(1, 1));
286 |         uvs.Add(new Vector2(1, 0));
287 | 
288 |         tris.Add(oldSize);
289 |         tris.Add(oldSize + 1);
290 |         tris.Add(oldSize + 2);
291 |     }
292 | 
293 |     public void addTriangle(Vector3 p1, Vector3 p2, Vector3 p3, Vector2 u1, Vector2 u2, Vector2 u3)
294 |     {
295 |         int oldSize = verts.Count;
296 | 
297 |         verts.Add(p1);
298 |         verts.Add(p2);
299 |         verts.Add(p3);
300 | 
301 |         uvs.Add(u1);
302 |         uvs.Add(u2);
303 |         uvs.Add(u3);
304 | 
305 |         tris.Add(oldSize);
306 |         tris.Add(oldSize + 1);
307 |         tris.Add(oldSize + 2);
308 |     }
309 | 
310 |     /*
311 |      * takes 4 points and makes a 2-triangle quad (clockwise also faces up)
312 |      */
313 |     public void addQuad(Vector3 p1, Vector3 p2, Vector3 p3, Vector3 p4)
314 |     {
315 |         int oldSize = verts.Count;
316 | 
317 |         verts.Add(p1);
318 |         verts.Add(p2);
319 |         verts.Add(p3);
320 |         verts.Add(p4);
321 | 
322 |         uvs.Add(new Vector2(0, 1));
323 |         uvs.Add(new Vector2(1, 1));
324 | 
325 |         float xScale = Vector3.Distance(p1, p2);
326 |         float yScale1 = Vector3.Distance(p2, p3) - xScale;
327 |         float yScale2 = Vector3.Distance(p1, p4) - xScale;
328 | 
329 |         uvs.Add(new Vector2(1, 0 - yScale1));
330 |         uvs.Add(new Vector2(0, 0 - yScale2));
331 | 
332 |         tris.Add(oldSize);
333 |         tris.Add(oldSize + 1);
334 |         tris.Add(oldSize + 2);
335 | 
336 |         tris.Add(oldSize);
337 |         tris.Add(oldSize + 2);
338 |         tris.Add(oldSize + 3);
339 |     }
340 |     /*
341 |      * constructMesh() takes all of the data you've dumped into it and turns it into a standard unity Mesh
342 |      */
343 |     public Mesh constructMesh()
344 |     {
345 |         Mesh newMesh = new Mesh();
346 | 
347 |         newMesh.vertices = verts.ToArray();
348 |         newMesh.triangles = tris.ToArray();
349 |         newMesh.uv = uvs.ToArray();
350 |         newMesh.RecalculateNormals();
351 |         newMesh.RecalculateBounds();
352 |         newMesh.RecalculateTangents();
353 | 
354 |         return newMesh;
355 |     }
356 |     /*
357 |      * adopt() takes data from the inputted mesh and copies it.
358 |      */
359 |     public void adopt(Mesh aMesh)
360 |     {
361 |         int offset = verts.Count;
362 |         //verts = new List<Vector3>();
363 |         //tris = new List<int>();
364 | 
365 |         for(int i = 0; i < aMesh.vertexCount; i ++)
366 |         {
367 |             verts.Add(aMesh.vertices[i]);
368 | 
369 |             try
370 |             {
371 |                 uvs.Add(aMesh.uv[i]);
372 |             }catch(Exception e)
373 |             {
374 |                 uvs.Add(new Vector2(0, 0));
375 |             }
376 |         }
377 | 
378 |         foreach (int i in aMesh.triangles)
379 |         {
380 |             tris.Add(i + offset);
381 |         }
382 | 
383 |     }
384 | 
385 | }
386 | 
387 | public static class Vector2Extension
388 | {
389 | 
390 |     public static Vector2 Rotate(this Vector2 v, float degrees)
391 |     {
392 |         float sin = Mathf.Sin(degrees * Mathf.Deg2Rad);
393 |         float cos = Mathf.Cos(degrees * Mathf.Deg2Rad);
394 | 
395 |         float tx = v.x;
396 |         float ty = v.y;
397 |         v.x = (cos * tx) - (sin * ty);
398 |         v.y = (sin * tx) + (cos * ty);
399 |         return v;
400 |     }
401 | }
402 | 


--------------------------------------------------------------------------------
/LICENSE:
--------------------------------------------------------------------------------
  1 |                     GNU GENERAL PUBLIC LICENSE
  2 |                        Version 3, 29 June 2007
  3 | 
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116 | form of a work.
117 | 
118 |   A "Standard Interface" means an interface that either is an official
119 | standard defined by a recognized standards body, or, in the case of
120 | interfaces specified for a particular programming language, one that
121 | is widely used among developers working in that language.
122 | 
123 |   The "System Libraries" of an executable work include anything, other
124 | than the work as a whole, that (a) is included in the normal form of
125 | packaging a Major Component, but which is not part of that Major
126 | Component, and (b) serves only to enable use of the work with that
127 | Major Component, or to implement a Standard Interface for which an
128 | implementation is available to the public in source code form.  A
129 | "Major Component", in this context, means a major essential component
130 | (kernel, window system, and so on) of the specific operating system
131 | (if any) on which the executable work runs, or a compiler used to
132 | produce the work, or an object code interpreter used to run it.
133 | 
134 |   The "Corresponding Source" for a work in object code form means all
135 | the source code needed to generate, install, and (for an executable
136 | work) run the object code and to modify the work, including scripts to
137 | control those activities.  However, it does not include the work's
138 | System Libraries, or general-purpose tools or generally available free
139 | programs which are used unmodified in performing those activities but
140 | which are not part of the work.  For example, Corresponding Source
141 | includes interface definition files associated with source files for
142 | the work, and the source code for shared libraries and dynamically
143 | linked subprograms that the work is specifically designed to require,
144 | such as by intimate data communication or control flow between those
145 | subprograms and other parts of the work.
146 | 
147 |   The Corresponding Source need not include anything that users
148 | can regenerate automatically from other parts of the Corresponding
149 | Source.
150 | 
151 |   The Corresponding Source for a work in source code form is that
152 | same work.
153 | 
154 |   2. Basic Permissions.
155 | 
156 |   All rights granted under this License are granted for the term of
157 | copyright on the Program, and are irrevocable provided the stated
158 | conditions are met.  This License explicitly affirms your unlimited
159 | permission to run the unmodified Program.  The output from running a
160 | covered work is covered by this License only if the output, given its
161 | content, constitutes a covered work.  This License acknowledges your
162 | rights of fair use or other equivalent, as provided by copyright law.
163 | 
164 |   You may make, run and propagate covered works that you do not
165 | convey, without conditions so long as your license otherwise remains
166 | in force.  You may convey covered works to others for the sole purpose
167 | of having them make modifications exclusively for you, or provide you
168 | with facilities for running those works, provided that you comply with
169 | the terms of this License in conveying all material for which you do
170 | not control copyright.  Those thus making or running the covered works
171 | for you must do so exclusively on your behalf, under your direction
172 | and control, on terms that prohibit them from making any copies of
173 | your copyrighted material outside their relationship with you.
174 | 
175 |   Conveying under any other circumstances is permitted solely under
176 | the conditions stated below.  Sublicensing is not allowed; section 10
177 | makes it unnecessary.
178 | 
179 |   3. Protecting Users' Legal Rights From Anti-Circumvention Law.
180 | 
181 |   No covered work shall be deemed part of an effective technological
182 | measure under any applicable law fulfilling obligations under article
183 | 11 of the WIPO copyright treaty adopted on 20 December 1996, or
184 | similar laws prohibiting or restricting circumvention of such
185 | measures.
186 | 
187 |   When you convey a covered work, you waive any legal power to forbid
188 | circumvention of technological measures to the extent such circumvention
189 | is effected by exercising rights under this License with respect to
190 | the covered work, and you disclaim any intention to limit operation or
191 | modification of the work as a means of enforcing, against the work's
192 | users, your or third parties' legal rights to forbid circumvention of
193 | technological measures.
194 | 
195 |   4. Conveying Verbatim Copies.
196 | 
197 |   You may convey verbatim copies of the Program's source code as you
198 | receive it, in any medium, provided that you conspicuously and
199 | appropriately publish on each copy an appropriate copyright notice;
200 | keep intact all notices stating that this License and any
201 | non-permissive terms added in accord with section 7 apply to the code;
202 | keep intact all notices of the absence of any warranty; and give all
203 | recipients a copy of this License along with the Program.
204 | 
205 |   You may charge any price or no price for each copy that you convey,
206 | and you may offer support or warranty protection for a fee.
207 | 
208 |   5. Conveying Modified Source Versions.
209 | 
210 |   You may convey a work based on the Program, or the modifications to
211 | produce it from the Program, in the form of source code under the
212 | terms of section 4, provided that you also meet all of these conditions:
213 | 
214 |     a) The work must carry prominent notices stating that you modified
215 |     it, and giving a relevant date.
216 | 
217 |     b) The work must carry prominent notices stating that it is
218 |     released under this License and any conditions added under section
219 |     7.  This requirement modifies the requirement in section 4 to
220 |     "keep intact all notices".
221 | 
222 |     c) You must license the entire work, as a whole, under this
223 |     License to anyone who comes into possession of a copy.  This
224 |     License will therefore apply, along with any applicable section 7
225 |     additional terms, to the whole of the work, and all its parts,
226 |     regardless of how they are packaged.  This License gives no
227 |     permission to license the work in any other way, but it does not
228 |     invalidate such permission if you have separately received it.
229 | 
230 |     d) If the work has interactive user interfaces, each must display
231 |     Appropriate Legal Notices; however, if the Program has interactive
232 |     interfaces that do not display Appropriate Legal Notices, your
233 |     work need not make them do so.
234 | 
235 |   A compilation of a covered work with other separate and independent
236 | works, which are not by their nature extensions of the covered work,
237 | and which are not combined with it such as to form a larger program,
238 | in or on a volume of a storage or distribution medium, is called an
239 | "aggregate" if the compilation and its resulting copyright are not
240 | used to limit the access or legal rights of the compilation's users
241 | beyond what the individual works permit.  Inclusion of a covered work
242 | in an aggregate does not cause this License to apply to the other
243 | parts of the aggregate.
244 | 
245 |   6. Conveying Non-Source Forms.
246 | 
247 |   You may convey a covered work in object code form under the terms
248 | of sections 4 and 5, provided that you also convey the
249 | machine-readable Corresponding Source under the terms of this License,
250 | in one of these ways:
251 | 
252 |     a) Convey the object code in, or embodied in, a physical product
253 |     (including a physical distribution medium), accompanied by the
254 |     Corresponding Source fixed on a durable physical medium
255 |     customarily used for software interchange.
256 | 
257 |     b) Convey the object code in, or embodied in, a physical product
258 |     (including a physical distribution medium), accompanied by a
259 |     written offer, valid for at least three years and valid for as
260 |     long as you offer spare parts or customer support for that product
261 |     model, to give anyone who possesses the object code either (1) a
262 |     copy of the Corresponding Source for all the software in the
263 |     product that is covered by this License, on a durable physical
264 |     medium customarily used for software interchange, for a price no
265 |     more than your reasonable cost of physically performing this
266 |     conveying of source, or (2) access to copy the
267 |     Corresponding Source from a network server at no charge.
268 | 
269 |     c) Convey individual copies of the object code with a copy of the
270 |     written offer to provide the Corresponding Source.  This
271 |     alternative is allowed only occasionally and noncommercially, and
272 |     only if you received the object code with such an offer, in accord
273 |     with subsection 6b.
274 | 
275 |     d) Convey the object code by offering access from a designated
276 |     place (gratis or for a charge), and offer equivalent access to the
277 |     Corresponding Source in the same way through the same place at no
278 |     further charge.  You need not require recipients to copy the
279 |     Corresponding Source along with the object code.  If the place to
280 |     copy the object code is a network server, the Corresponding Source
281 |     may be on a different server (operated by you or a third party)
282 |     that supports equivalent copying facilities, provided you maintain
283 |     clear directions next to the object code saying where to find the
284 |     Corresponding Source.  Regardless of what server hosts the
285 |     Corresponding Source, you remain obligated to ensure that it is
286 |     available for as long as needed to satisfy these requirements.
287 | 
288 |     e) Convey the object code using peer-to-peer transmission, provided
289 |     you inform other peers where the object code and Corresponding
290 |     Source of the work are being offered to the general public at no
291 |     charge under subsection 6d.
292 | 
293 |   A separable portion of the object code, whose source code is excluded
294 | from the Corresponding Source as a System Library, need not be
295 | included in conveying the object code work.
296 | 
297 |   A "User Product" is either (1) a "consumer product", which means any
298 | tangible personal property which is normally used for personal, family,
299 | or household purposes, or (2) anything designed or sold for incorporation
300 | into a dwelling.  In determining whether a product is a consumer product,
301 | doubtful cases shall be resolved in favor of coverage.  For a particular
302 | product received by a particular user, "normally used" refers to a
303 | typical or common use of that class of product, regardless of the status
304 | of the particular user or of the way in which the particular user
305 | actually uses, or expects or is expected to use, the product.  A product
306 | is a consumer product regardless of whether the product has substantial
307 | commercial, industrial or non-consumer uses, unless such uses represent
308 | the only significant mode of use of the product.
309 | 
310 |   "Installation Information" for a User Product means any methods,
311 | procedures, authorization keys, or other information required to install
312 | and execute modified versions of a covered work in that User Product from
313 | a modified version of its Corresponding Source.  The information must
314 | suffice to ensure that the continued functioning of the modified object
315 | code is in no case prevented or interfered with solely because
316 | modification has been made.
317 | 
318 |   If you convey an object code work under this section in, or with, or
319 | specifically for use in, a User Product, and the conveying occurs as
320 | part of a transaction in which the right of possession and use of the
321 | User Product is transferred to the recipient in perpetuity or for a
322 | fixed term (regardless of how the transaction is characterized), the
323 | Corresponding Source conveyed under this section must be accompanied
324 | by the Installation Information.  But this requirement does not apply
325 | if neither you nor any third party retains the ability to install
326 | modified object code on the User Product (for example, the work has
327 | been installed in ROM).
328 | 
329 |   The requirement to provide Installation Information does not include a
330 | requirement to continue to provide support service, warranty, or updates
331 | for a work that has been modified or installed by the recipient, or for
332 | the User Product in which it has been modified or installed.  Access to a
333 | network may be denied when the modification itself materially and
334 | adversely affects the operation of the network or violates the rules and
335 | protocols for communication across the network.
336 | 
337 |   Corresponding Source conveyed, and Installation Information provided,
338 | in accord with this section must be in a format that is publicly
339 | documented (and with an implementation available to the public in
340 | source code form), and must require no special password or key for
341 | unpacking, reading or copying.
342 | 
343 |   7. Additional Terms.
344 | 
345 |   "Additional permissions" are terms that supplement the terms of this
346 | License by making exceptions from one or more of its conditions.
347 | Additional permissions that are applicable to the entire Program shall
348 | be treated as though they were included in this License, to the extent
349 | that they are valid under applicable law.  If additional permissions
350 | apply only to part of the Program, that part may be used separately
351 | under those permissions, but the entire Program remains governed by
352 | this License without regard to the additional permissions.
353 | 
354 |   When you convey a copy of a covered work, you may at your option
355 | remove any additional permissions from that copy, or from any part of
356 | it.  (Additional permissions may be written to require their own
357 | removal in certain cases when you modify the work.)  You may place
358 | additional permissions on material, added by you to a covered work,
359 | for which you have or can give appropriate copyright permission.
360 | 
361 |   Notwithstanding any other provision of this License, for material you
362 | add to a covered work, you may (if authorized by the copyright holders of
363 | that material) supplement the terms of this License with terms:
364 | 
365 |     a) Disclaiming warranty or limiting liability differently from the
366 |     terms of sections 15 and 16 of this License; or
367 | 
368 |     b) Requiring preservation of specified reasonable legal notices or
369 |     author attributions in that material or in the Appropriate Legal
370 |     Notices displayed by works containing it; or
371 | 
372 |     c) Prohibiting misrepresentation of the origin of that material, or
373 |     requiring that modified versions of such material be marked in
374 |     reasonable ways as different from the original version; or
375 | 
376 |     d) Limiting the use for publicity purposes of names of licensors or
377 |     authors of the material; or
378 | 
379 |     e) Declining to grant rights under trademark law for use of some
380 |     trade names, trademarks, or service marks; or
381 | 
382 |     f) Requiring indemnification of licensors and authors of that
383 |     material by anyone who conveys the material (or modified versions of
384 |     it) with contractual assumptions of liability to the recipient, for
385 |     any liability that these contractual assumptions directly impose on
386 |     those licensors and authors.
387 | 
388 |   All other non-permissive additional terms are considered "further
389 | restrictions" within the meaning of section 10.  If the Program as you
390 | received it, or any part of it, contains a notice stating that it is
391 | governed by this License along with a term that is a further
392 | restriction, you may remove that term.  If a license document contains
393 | a further restriction but permits relicensing or conveying under this
394 | License, you may add to a covered work material governed by the terms
395 | of that license document, provided that the further restriction does
396 | not survive such relicensing or conveying.
397 | 
398 |   If you add terms to a covered work in accord with this section, you
399 | must place, in the relevant source files, a statement of the
400 | additional terms that apply to those files, or a notice indicating
401 | where to find the applicable terms.
402 | 
403 |   Additional terms, permissive or non-permissive, may be stated in the
404 | form of a separately written license, or stated as exceptions;
405 | the above requirements apply either way.
406 | 
407 |   8. Termination.
408 | 
409 |   You may not propagate or modify a covered work except as expressly
410 | provided under this License.  Any attempt otherwise to propagate or
411 | modify it is void, and will automatically terminate your rights under
412 | this License (including any patent licenses granted under the third
413 | paragraph of section 11).
414 | 
415 |   However, if you cease all violation of this License, then your
416 | license from a particular copyright holder is reinstated (a)
417 | provisionally, unless and until the copyright holder explicitly and
418 | finally terminates your license, and (b) permanently, if the copyright
419 | holder fails to notify you of the violation by some reasonable means
420 | prior to 60 days after the cessation.
421 | 
422 |   Moreover, your license from a particular copyright holder is
423 | reinstated permanently if the copyright holder notifies you of the
424 | violation by some reasonable means, this is the first time you have
425 | received notice of violation of this License (for any work) from that
426 | copyright holder, and you cure the violation prior to 30 days after
427 | your receipt of the notice.
428 | 
429 |   Termination of your rights under this section does not terminate the
430 | licenses of parties who have received copies or rights from you under
431 | this License.  If your rights have been terminated and not permanently
432 | reinstated, you do not qualify to receive new licenses for the same
433 | material under section 10.
434 | 
435 |   9. Acceptance Not Required for Having Copies.
436 | 
437 |   You are not required to accept this License in order to receive or
438 | run a copy of the Program.  Ancillary propagation of a covered work
439 | occurring solely as a consequence of using peer-to-peer transmission
440 | to receive a copy likewise does not require acceptance.  However,
441 | nothing other than this License grants you permission to propagate or
442 | modify any covered work.  These actions infringe copyright if you do
443 | not accept this License.  Therefore, by modifying or propagating a
444 | covered work, you indicate your acceptance of this License to do so.
445 | 
446 |   10. Automatic Licensing of Downstream Recipients.
447 | 
448 |   Each time you convey a covered work, the recipient automatically
449 | receives a license from the original licensors, to run, modify and
450 | propagate that work, subject to this License.  You are not responsible
451 | for enforcing compliance by third parties with this License.
452 | 
453 |   An "entity transaction" is a transaction transferring control of an
454 | organization, or substantially all assets of one, or subdividing an
455 | organization, or merging organizations.  If propagation of a covered
456 | work results from an entity transaction, each party to that
457 | transaction who receives a copy of the work also receives whatever
458 | licenses to the work the party's predecessor in interest had or could
459 | give under the previous paragraph, plus a right to possession of the
460 | Corresponding Source of the work from the predecessor in interest, if
461 | the predecessor has it or can get it with reasonable efforts.
462 | 
463 |   You may not impose any further restrictions on the exercise of the
464 | rights granted or affirmed under this License.  For example, you may
465 | not impose a license fee, royalty, or other charge for exercise of
466 | rights granted under this License, and you may not initiate litigation
467 | (including a cross-claim or counterclaim in a lawsuit) alleging that
468 | any patent claim is infringed by making, using, selling, offering for
469 | sale, or importing the Program or any portion of it.
470 | 
471 |   11. Patents.
472 | 
473 |   A "contributor" is a copyright holder who authorizes use under this
474 | License of the Program or a work on which the Program is based.  The
475 | work thus licensed is called the contributor's "contributor version".
476 | 
477 |   A contributor's "essential patent claims" are all patent claims
478 | owned or controlled by the contributor, whether already acquired or
479 | hereafter acquired, that would be infringed by some manner, permitted
480 | by this License, of making, using, or selling its contributor version,
481 | but do not include claims that would be infringed only as a
482 | consequence of further modification of the contributor version.  For
483 | purposes of this definition, "control" includes the right to grant
484 | patent sublicenses in a manner consistent with the requirements of
485 | this License.
486 | 
487 |   Each contributor grants you a non-exclusive, worldwide, royalty-free
488 | patent license under the contributor's essential patent claims, to
489 | make, use, sell, offer for sale, import and otherwise run, modify and
490 | propagate the contents of its contributor version.
491 | 
492 |   In the following three paragraphs, a "patent license" is any express
493 | agreement or commitment, however denominated, not to enforce a patent
494 | (such as an express permission to practice a patent or covenant not to
495 | sue for patent infringement).  To "grant" such a patent license to a
496 | party means to make such an agreement or commitment not to enforce a
497 | patent against the party.
498 | 
499 |   If you convey a covered work, knowingly relying on a patent license,
500 | and the Corresponding Source of the work is not available for anyone
501 | to copy, free of charge and under the terms of this License, through a
502 | publicly available network server or other readily accessible means,
503 | then you must either (1) cause the Corresponding Source to be so
504 | available, or (2) arrange to deprive yourself of the benefit of the
505 | patent license for this particular work, or (3) arrange, in a manner
506 | consistent with the requirements of this License, to extend the patent
507 | license to downstream recipients.  "Knowingly relying" means you have
508 | actual knowledge that, but for the patent license, your conveying the
509 | covered work in a country, or your recipient's use of the covered work
510 | in a country, would infringe one or more identifiable patents in that
511 | country that you have reason to believe are valid.
512 | 
513 |   If, pursuant to or in connection with a single transaction or
514 | arrangement, you convey, or propagate by procuring conveyance of, a
515 | covered work, and grant a patent license to some of the parties
516 | receiving the covered work authorizing them to use, propagate, modify
517 | or convey a specific copy of the covered work, then the patent license
518 | you grant is automatically extended to all recipients of the covered
519 | work and works based on it.
520 | 
521 |   A patent license is "discriminatory" if it does not include within
522 | the scope of its coverage, prohibits the exercise of, or is
523 | conditioned on the non-exercise of one or more of the rights that are
524 | specifically granted under this License.  You may not convey a covered
525 | work if you are a party to an arrangement with a third party that is
526 | in the business of distributing software, under which you make payment
527 | to the third party based on the extent of your activity of conveying
528 | the work, and under which the third party grants, to any of the
529 | parties who would receive the covered work from you, a discriminatory
530 | patent license (a) in connection with copies of the covered work
531 | conveyed by you (or copies made from those copies), or (b) primarily
532 | for and in connection with specific products or compilations that
533 | contain the covered work, unless you entered into that arrangement,
534 | or that patent license was granted, prior to 28 March 2007.
535 | 
536 |   Nothing in this License shall be construed as excluding or limiting
537 | any implied license or other defenses to infringement that may
538 | otherwise be available to you under applicable patent law.
539 | 
540 |   12. No Surrender of Others' Freedom.
541 | 
542 |   If conditions are imposed on you (whether by court order, agreement or
543 | otherwise) that contradict the conditions of this License, they do not
544 | excuse you from the conditions of this License.  If you cannot convey a
545 | covered work so as to satisfy simultaneously your obligations under this
546 | License and any other pertinent obligations, then as a consequence you may
547 | not convey it at all.  For example, if you agree to terms that obligate you
548 | to collect a royalty for further conveying from those to whom you convey
549 | the Program, the only way you could satisfy both those terms and this
550 | License would be to refrain entirely from conveying the Program.
551 | 
552 |   13. Use with the GNU Affero General Public License.
553 | 
554 |   Notwithstanding any other provision of this License, you have
555 | permission to link or combine any covered work with a work licensed
556 | under version 3 of the GNU Affero General Public License into a single
557 | combined work, and to convey the resulting work.  The terms of this
558 | License will continue to apply to the part which is the covered work,
559 | but the special requirements of the GNU Affero General Public License,
560 | section 13, concerning interaction through a network will apply to the
561 | combination as such.
562 | 
563 |   14. Revised Versions of this License.
564 | 
565 |   The Free Software Foundation may publish revised and/or new versions of
566 | the GNU General Public License from time to time.  Such new versions will
567 | be similar in spirit to the present version, but may differ in detail to
568 | address new problems or concerns.
569 | 
570 |   Each version is given a distinguishing version number.  If the
571 | Program specifies that a certain numbered version of the GNU General
572 | Public License "or any later version" applies to it, you have the
573 | option of following the terms and conditions either of that numbered
574 | version or of any later version published by the Free Software
575 | Foundation.  If the Program does not specify a version number of the
576 | GNU General Public License, you may choose any version ever published
577 | by the Free Software Foundation.
578 | 
579 |   If the Program specifies that a proxy can decide which future
580 | versions of the GNU General Public License can be used, that proxy's
581 | public statement of acceptance of a version permanently authorizes you
582 | to choose that version for the Program.
583 | 
584 |   Later license versions may give you additional or different
585 | permissions.  However, no additional obligations are imposed on any
586 | author or copyright holder as a result of your choosing to follow a
587 | later version.
588 | 
589 |   15. Disclaimer of Warranty.
590 | 
591 |   THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
592 | APPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
593 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
594 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
595 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
596 | PURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
597 | IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
598 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
599 | 
600 |   16. Limitation of Liability.
601 | 
602 |   IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
610 | SUCH DAMAGES.
611 | 
612 |   17. Interpretation of Sections 15 and 16.
613 | 
614 |   If the disclaimer of warranty and limitation of liability provided
615 | above cannot be given local legal effect according to their terms,
616 | reviewing courts shall apply local law that most closely approximates
617 | an absolute waiver of all civil liability in connection with the
618 | Program, unless a warranty or assumption of liability accompanies a
619 | copy of the Program in return for a fee.
620 | 
621 |                      END OF TERMS AND CONDITIONS
622 | 
623 |             How to Apply These Terms to Your New Programs
624 | 
625 |   If you develop a new program, and you want it to be of the greatest
626 | possible use to the public, the best way to achieve this is to make it
627 | free software which everyone can redistribute and change under these terms.
628 | 
629 |   To do so, attach the following notices to the program.  It is safest
630 | to attach them to the start of each source file to most effectively
631 | state the exclusion of warranty; and each file should have at least
632 | the "copyright" line and a pointer to where the full notice is found.
633 | 
634 |     <one line to give the program's name and a brief idea of what it does.>
635 |     Copyright (C) <year>  <name of author>
636 | 
637 |     This program is free software: you can redistribute it and/or modify
638 |     it under the terms of the GNU General Public License as published by
639 |     the Free Software Foundation, either version 3 of the License, or
640 |     (at your option) any later version.
641 | 
642 |     This program is distributed in the hope that it will be useful,
643 |     but WITHOUT ANY WARRANTY; without even the implied warranty of
644 |     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
645 |     GNU General Public License for more details.
646 | 
647 |     You should have received a copy of the GNU General Public License
648 |     along with this program.  If not, see <https://www.gnu.org/licenses/>.
649 | 
650 | Also add information on how to contact you by electronic and paper mail.
651 | 
652 |   If the program does terminal interaction, make it output a short
653 | notice like this when it starts in an interactive mode:
654 | 
655 |     <program>  Copyright (C) <year>  <name of author>
656 |     This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
657 |     This is free software, and you are welcome to redistribute it
658 |     under certain conditions; type `show c' for details.
659 | 
660 | The hypothetical commands `show w' and `show c' should show the appropriate
661 | parts of the General Public License.  Of course, your program's commands
662 | might be different; for a GUI interface, you would use an "about box".
663 | 
664 |   You should also get your employer (if you work as a programmer) or school,
665 | if any, to sign a "copyright disclaimer" for the program, if necessary.
666 | For more information on this, and how to apply and follow the GNU GPL, see
667 | <https://www.gnu.org/licenses/>.
668 | 
669 |   The GNU General Public License does not permit incorporating your program
670 | into proprietary programs.  If your program is a subroutine library, you
671 | may consider it more useful to permit linking proprietary applications with
672 | the library.  If this is what you want to do, use the GNU Lesser General
673 | Public License instead of this License.  But first, please read
674 | <https://www.gnu.org/licenses/why-not-lgpl.html>.
675 | 


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