diff options
author | defanor <defanor@uberspace.net> | 2023-10-18 14:41:04 +0300 |
---|---|---|
committer | defanor <defanor@uberspace.net> | 2023-10-18 14:41:04 +0300 |
commit | 43ae21a8b3043b9629c31b916619e20c095b8473 (patch) | |
tree | 130557dea8bf5e5017a36a865641069bec0449e7 |
This includes minimal polygon loading and rendering functions, and one
example.
-rw-r--r-- | 3d.el | 376 | ||||
-rw-r--r-- | LICENSE | 674 | ||||
-rw-r--r-- | README | 12 | ||||
-rw-r--r-- | examples/sphere-and-text.blend | bin | 0 -> 895252 bytes | |||
-rw-r--r-- | examples/sphere-and-text.el | 39 | ||||
-rw-r--r-- | examples/sphere-and-text.ply | 495 | ||||
-rw-r--r-- | examples/sphere-and-text.txt | 60 |
7 files changed, 1656 insertions, 0 deletions
@@ -0,0 +1,376 @@ +;;; 3d.el - a 3D graphics playground -*- lexical-binding: t; -*- + +;; Copyright (C) 2023 defanor + +;; Author: defanor <defanor@uberspace.net> +;; Maintainer: defanor <defanor@uberspace.net> +;; Created: 2023-10-18 +;; Keywords: 3D, graphics, amusements +;; Homepage: https://git.uberspace.net/3d.el/ +;; Version: 0.0.0 + +;; This file is not part of GNU Emacs. + +;; This program is free software: you can redistribute it and/or modify +;; it under the terms of the GNU General Public License as published by +;; the Free Software Foundation, either version 3 of the License, or +;; (at your option) any later version. + +;; This program is distributed in the hope that it will be useful, +;; but WITHOUT ANY WARRANTY; without even the implied warranty of +;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +;; GNU General Public License for more details. + +;; You should have received a copy of the GNU General Public License +;; along with this program. If not, see <http://www.gnu.org/licenses/>. + +;;; Commentary: + +;; These are toy routines: an external renderer, followed by +;; conversion from raster into ASCII, would be more suitable for most +;; tasks, but this is hackable and has no dependencies outside of +;; Emacs. + +;; Information on the used formats and algorithms: + +;; PLY format: https://paulbourke.net/dataformats/ply/ + +;; Computer graphics tutorials: https://scratchapixel.com/ + +;; Point in polygon detection: +;; https://www.eecs.umich.edu/courses/eecs380/HANDOUTS/PROJ2/InsidePoly.html +;; https://www.rosettacode.org/wiki/Ray-casting_algorithm +;; https://erich.realtimerendering.com/ptinpoly/ + +;; Linear algebra basics: +;; https://www.3blue1brown.com/topics/linear-algebra +;; https://defanor.uberspace.net/notes/online-courses-and-math-notes.xhtml + +;;; Code: + +(defun 3d-vector-copy (from to) + "Copies vector elements from FROM into TO." + (dotimes (i (min (length from) (length to))) + (aset to i (aref from i)))) + +(defun 3d-dot-product (v1 v2 &optional dimensions) + "Calculates a dot product of vectors V1 and V2. +If DIMENSIONS is set, only the first DIMENSIONS elements of each +vector are used for calculation." + (let ((ret 0)) + (dotimes (i (min (or dimensions (length v1)) (length v1) (length v2)) ret) + (setq ret (+ ret (* (aref v1 i) (aref v2 i))))))) + +(defun 3d-cross-product (v1 v2) + "Calculates a cross product of 3-dimensional vectors V1 and V2." + (vector (- (* (aref v1 1) (aref v2 2)) (* (aref v1 2) (aref v2 1))) + (- (* (aref v1 2) (aref v2 0)) (* (aref v1 0) (aref v2 2))) + (- (* (aref v1 0) (aref v2 1)) (* (aref v1 1) (aref v2 0))))) + +(defun 3d-vector-scalar-multiply (v s &optional out) + "Multiplies vector V by scalar S. + +If OUT is provided, the result is stored there, to avoid creation +of a new vector." + (let ((ret (or out (make-vector (length v) nil)))) + (dotimes (i (length v) ret) + (aset ret i (* (aref v i) s))))) + +(defun 3d-matrix-vector-multiply (m v) + "Multiplies matrix M by vector V." + (let ((ret (make-vector (length (aref m 0)) nil))) + (dotimes (row (length (aref m 0)) ret) + (aset ret row + (let ((val 0)) + (dotimes (col (length v) val) + (setq val (+ val (* (aref v col) + (aref (aref m col) row)))))))))) + +(defun 3d-matrix-multiply (m1 m2) + "Matrix multiplication." + (let ((ret (make-vector (length m2) nil))) + (dotimes (col (length m2) ret) + (aset ret col (3d-matrix-vector-multiply m1 (aref m2 col)))))) + +(defun 3d-vector-length (v) + "Calculates length of an Euclidean vector V." + (sqrt (let ((ret 0)) + (dotimes (i (length v) ret) + (setq ret (+ ret (expt (aref v i) 2))))))) + +(defun 3d-vector-normalize (v &optional out) + "Normalizes a vector. + +If OUT is provided, the result is stored there, to avoid creation +of a new vector." + (let ((ret (or out (make-vector (length v) nil))) + (v-len (3d-vector-length v))) + (dotimes (i (length v) ret) + (aset ret i (/ (aref v i) v-len))))) + +(defun 3d-vector-subtract (v1 v2 &optional out) + "Subtracts elements of V2 from elements of V1. + +If OUT is provided, the result is stored there, to avoid creation +of a new vector." + (let* ((len (min (length v1) (length v2) (if out (length out) (length v1)))) + (ret (or out (make-vector len nil)))) + (dotimes (i len ret) + (aset ret i (- (aref v1 i) (aref v2 i)))))) + +(defun 3d-vector-add (v1 v2 &optional out) + "Adds elements of V2 to elements of V1. + +If OUT is provided, the result is stored there, to avoid creation +of a new vector." + (let* ((len (min (length v1) (length v2) (if out (length out) (length v1)))) + (ret (or out (make-vector len nil)))) + (dotimes (i len ret) + (aset ret i (+ (aref v1 i) (aref v2 i)))))) + +(defun 3d-polygon-plane-normal (p) + "Calculates a normal for plane P." + (3d-vector-normalize + (3d-cross-product + (3d-vector-subtract (aref p 1) (aref p 0)) + (3d-vector-subtract (aref p 2) (aref p 0))))) + +(defun 3d-2d-ray-segment-intersects-p (p e1 e2) + "A helper function for `3d-point-in-polygon'. Finds whether a ray +moving to the right from point P would intersect the edge between +points E1 and E2." + (let ((px (car p)) + (py (cdr p)) + (a nil) + (b nil)) + (if (< (cdr e1) (cdr e2)) + (setq a e1 + b e2) + (setq a e2 + b e1)) + (let ((ax (car a)) + (ay (cdr a)) + (bx (car b)) + (by (cdr b))) + (and (>= py ay) + (<= py by) + (< px (max ax bx)) + (or (< px (min ax bx)) + (< (/ (- by ay) (- bx ax)) (/ (- py ay) (- px ax)))))))) + +(defun 3d-point-in-polygon (point polygon normal) + "A predicate checkingn whether POINT is inside POLYGON (with +NORMAL)." + (let* ((nx (abs (aref normal 0))) + (ny (abs (aref normal 1))) + (nz (abs (aref normal 2))) + (dimension-to-drop (if (> nx ny) + (if (> nx nz) 0 2) + (if (> ny nz) 1 2))) + (as-2d (lambda (point) + (cons + (aref point (if (<= dimension-to-drop 0) 1 0)) + (aref point (if (<= dimension-to-drop 1) 2 1))))) + (cnt 0)) + (dotimes (i (length polygon) cnt) + (when (3d-2d-ray-segment-intersects-p + (funcall as-2d point) + (funcall as-2d (aref polygon i)) + (funcall as-2d (aref polygon (mod (+ i 1) (length polygon))))) + (setq cnt (+ cnt 1)))) + (eq (mod cnt 2) 1))) + +(defun 3d-ray-plane-intersection (line-l0 line-l plane-p0 plane-n &optional out) + "Looks for an intersection of a ray (defined by a point LINE-L0 +and direction LINE-L) and a plane (defined by a point PLANE-P0 +and plane normal PLANE-N). + +If OUT is provided, it is used for intermediate calculations, to +avoid creation of temporary vectors." + (when (/= (3d-dot-product line-l plane-n 3) 0) + (let* ((D (- (3d-dot-product plane-n plane-p0 3))) + (T (- (/ (+ (3d-dot-product plane-n line-l0 3) D) + (3d-dot-product plane-n line-l 3))))) + (when (> T 0) + (3d-vector-add line-l0 (3d-vector-scalar-multiply line-l T out) out))))) + +(defun 3d-camera-rays (width height pixel-aspect-ratio field-of-view) + "Generates camera rays, used by `3d-camera-rays-at'." + (let ((aspect-ratio (/ width height)) + (rays (make-vector (* width height) nil))) + (dotimes (y height rays) + (let ((py (* (- 1 (* 2 (/ (+ y 0.5) height))) + (tan (/ field-of-view 2))))) + (dotimes (x width) + (let ((px (* (- (* 2 (/ (+ x 0.5) width)) 1) + aspect-ratio + pixel-aspect-ratio + (tan (/ field-of-view 2))))) + (aset rays (+ (* y width) x) + (vector px py -1 1)))))))) + +(defun 3d-camera-rays-at (camera-to-world + width + height + pixel-aspect-ratio + field-of-view) + "Generates camera rays, with CAMERA-TO-WORLD transform applied to the camera. + +Camera resolution is WIDTH by HEIGHT, FIELD-OF-VIEW is given in +radians, and our pixels are not necessarily square, hence +PIXEL-ASPECT-RATIO." + (let ((camera (3d-matrix-vector-multiply camera-to-world '[0 0 0 1])) + (rays (3d-camera-rays width height pixel-aspect-ratio field-of-view))) + (dotimes (i (length rays)) + (aset rays i + (3d-vector-normalize + (3d-vector-subtract + (3d-matrix-vector-multiply camera-to-world (aref rays i)) + camera)))) + (cons camera rays))) + +(defun 3d-ray-trace (ray-origin + ray-direction + polygons + &optional + point-hit-out + lpi-out + ray-sub-out) + "Traces a ray from RAY-ORIGIN towards RAY-DIRECTION, through POLYGONS. + +Returns nil if no ray is found, or a cons cell of the +intersection point and the polygon it hit. + +If POINT-HIT-OUT, LPI-OUT, and RAY-SUB-OUT are provided, they are +used for storage of intermediate and final results, to avoid +creation of new vectors." + (let ((point-hit nil) + (polygon-hit nil) + (lpi-store (or lpi-out (make-vector 4 nil))) + (ray-subtract-store (or ray-sub-out (make-vector 3 nil)))) + (dotimes (i (length polygons) (when point-hit (cons point-hit polygon-hit))) + (let* ((polygon (aref polygons i)) + (lpi (3d-ray-plane-intersection + ray-origin + ray-direction + (aref (car polygon) 0) + (cdr polygon) + lpi-store))) + (when (and lpi + ;; Try to avoid hitting points close to the origin. + (< 1e-6 + (3d-vector-length + (3d-vector-subtract lpi ray-origin ray-subtract-store))) + (3d-point-in-polygon lpi (car polygon) (cdr polygon)) + (or (not point-hit) + (< (3d-vector-length + (3d-vector-subtract + point-hit ray-origin ray-subtract-store)) + (3d-vector-length + (3d-vector-subtract + lpi ray-origin ray-subtract-store))))) + (setq polygon-hit polygon) + (when (not point-hit) + (setq point-hit (or point-hit-out (make-vector 3 nil)))) + (3d-vector-copy lpi point-hit)))))) + +(defun 3d-ply-load () + "Parses data in the PLY format from current buffer, returns a +polygon vector." + (let* ((state 'header) + (vertex-count nil) + (face-count nil) + (vertex-number 0) + (face-number 0) + (vertices nil) + (faces nil)) + (dolist (line (split-string (buffer-string) "\n") faces) + (let ((words (split-string line " "))) + (pcase words + (`("element" "vertex" ,n) + (setq vertex-count (string-to-number n)) + (setq vertices (make-vector vertex-count nil))) + (`("element" "face" ,n) + (setq face-count (string-to-number n)) + (setq faces (make-vector face-count nil))) + (`("end_header") (setq state 'data)) + ((guard (and (eq state 'data) + (< vertex-number vertex-count))) + ;; swap Y and Z: using Y as a vertical axis here, and Z + ;; for depth. + (aset vertices vertex-number + (vector (string-to-number (nth 0 words)) + (string-to-number (nth 2 words)) + (string-to-number (nth 1 words)))) + (setq vertex-number (+ vertex-number 1))) + ((guard (and (eq state 'data) + (< face-number face-count))) + (let* ((vertices-in-polygon (string-to-number (car words))) + (polygon (make-vector vertices-in-polygon nil))) + (dotimes (i vertices-in-polygon) + (aset polygon i + (aref vertices (string-to-number (nth (+ i 1) words))))) + (aset faces face-number polygon)) + (setq face-number (+ face-number 1)))))))) + +(defun 3d-polygons-add-normals (polygons) + "Adds plane normals to an array (usually a vector) of polygons." + (dotimes (i (length polygons)) + (aset polygons i (cons (aref polygons i) + (3d-polygon-plane-normal (aref polygons i)))))) + +(defun 3d-render (polygons-with-normals + light-source + light-level + camera-to-world + width + height + pixel-aspect-ratio + field-of-view) + "Renders polygons into text. + +POLYGONS-WITH-NORMALS is a vector of polygons and their normals, +LIGHT-SOURCE is a point light, LIGHT-LEVEL is a string of +characters to use for different light levels, CAMERA-TO-WORLD is +a linear transform (4x4 matrix) to apply to the camera, WIDTH and +HEIGHT are given in characters, PIXEL-ASPECT-RATIO is an +estimated aspect ratio of characters, FIELD-OF_VIEW is the +camera's field of view. + +The image is rendered into current buffer." + (let* ((cr (3d-camera-rays-at + camera-to-world + width height pixel-aspect-ratio field-of-view)) + (camera (car cr)) + (rays (cdr cr))) + (dotimes (i (length rays)) + (when (and (> i 0) (= (mod i width) 0)) + (insert "\n")) + (let* ((point-hit-store (make-vector 3 nil)) + (light-point-hit-store (make-vector 3 nil)) + (lpi-store (make-vector 4 nil)) + (ray-sub-store (make-vector 3 nil)) + (rt (3d-ray-trace camera (aref rays i) polygons-with-normals + point-hit-store lpi-store ray-sub-store))) + (insert + (aref + light-level + (if rt + (let* ((light-direction (3d-vector-normalize + (3d-vector-subtract light-source + (car rt)))) + (light-ray (3d-ray-trace (car rt) + light-direction + polygons-with-normals + light-point-hit-store + lpi-store + ray-sub-store))) + (if light-ray + 1 + (let ((face-normal (cddr rt))) + (+ 1 (round (* (- (length light-level) 2) + (abs (3d-dot-product face-normal + light-direction)))))))) + 0))))))) + +;;; 3d.el ends here @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/> + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. By contrast, +the GNU General Public License is intended to guarantee your freedom to +share and change all versions of a program--to make sure it remains free +software for all its users. We, the Free Software Foundation, use the +GNU General Public License for most of our software; it applies also to +any other work released this way by its authors. You can apply it to +your programs, too. + + When we speak of free software, we are referring to freedom, not +price. Our General Public Licenses are designed to make sure that you +have the freedom to distribute copies of free software (and charge for +them if you wish), that you receive source code or can get it if you +want it, that you can change the software or use pieces of it in new +free programs, and that you know you can do these things. + + To protect your rights, we need to prevent others from denying you +these rights or asking you to surrender the rights. Therefore, you have +certain responsibilities if you distribute copies of the software, or if +you modify it: responsibilities to respect the freedom of others. + + For example, if you distribute copies of such a program, whether +gratis or for a fee, you must pass on to the recipients the same +freedoms that you received. You must make sure that they, too, receive +or can get the source code. And you must show them these terms so they +know their rights. + + Developers that use the GNU GPL protect your rights with two steps: +(1) assert copyright on the software, and (2) offer you this License +giving you legal permission to copy, distribute and/or modify it. + + For the developers' and authors' protection, the GPL clearly explains +that there is no warranty for this free software. For both users' and +authors' sake, the GPL requires that modified versions be marked as +changed, so that their problems will not be attributed erroneously to +authors of previous versions. + + Some devices are designed to deny users access to install or run +modified versions of the software inside them, although the manufacturer +can do so. This is fundamentally incompatible with the aim of +protecting users' freedom to change the software. The systematic +pattern of such abuse occurs in the area of products for individuals to +use, which is precisely where it is most unacceptable. Therefore, we +have designed this version of the GPL to prohibit the practice for those +products. If such problems arise substantially in other domains, we +stand ready to extend this provision to those domains in future versions +of the GPL, as needed to protect the freedom of users. + + Finally, every program is threatened constantly by software patents. +States should not allow patents to restrict development and use of +software on general-purpose computers, but in those that do, we wish to +avoid the special danger that patents applied to a free program could +make it effectively proprietary. To prevent this, the GPL assures that +patents cannot be used to render the program non-free. + + The precise terms and conditions for copying, distribution and +modification follow. + + TERMS AND CONDITIONS + + 0. Definitions. + + "This License" refers to version 3 of the GNU General Public License. + + "Copyright" also means copyright-like laws that apply to other kinds of +works, such as semiconductor masks. + + "The Program" refers to any copyrightable work licensed under this +License. Each licensee is addressed as "you". "Licensees" and +"recipients" may be individuals or organizations. + + To "modify" a work means to copy from or adapt all or part of the work +in a fashion requiring copyright permission, other than the making of an +exact copy. The resulting work is called a "modified version" of the +earlier work or a work "based on" the earlier work. + + A "covered work" means either the unmodified Program or a work based +on the Program. + + To "propagate" a work means to do anything with it that, without +permission, would make you directly or secondarily liable for +infringement under applicable copyright law, except executing it on a +computer or modifying a private copy. Propagation includes copying, +distribution (with or without modification), making available to the +public, and in some countries other activities as well. + + To "convey" a work means any kind of propagation that enables other +parties to make or receive copies. Mere interaction with a user through +a computer network, with no transfer of a copy, is not conveying. + + An interactive user interface displays "Appropriate Legal Notices" +to the extent that it includes a convenient and prominently visible +feature that (1) displays an appropriate copyright notice, and (2) +tells the user that there is no warranty for the work (except to the +extent that warranties are provided), that licensees may convey the +work under this License, and how to view a copy of this License. If +the interface presents a list of user commands or options, such as a +menu, a prominent item in the list meets this criterion. + + 1. Source Code. + + The "source code" for a work means the preferred form of the work +for making modifications to it. "Object code" means any non-source +form of a work. + + A "Standard Interface" means an interface that either is an official +standard defined by a recognized standards body, or, in the case of +interfaces specified for a particular programming language, one that +is widely used among developers working in that language. + + The "System Libraries" of an executable work include anything, other +than the work as a whole, that (a) is included in the normal form of +packaging a Major Component, but which is not part of that Major +Component, and (b) serves only to enable use of the work with that +Major Component, or to implement a Standard Interface for which an +implementation is available to the public in source code form. A +"Major Component", in this context, means a major essential component +(kernel, window system, and so on) of the specific operating system +(if any) on which the executable work runs, or a compiler used to +produce the work, or an object code interpreter used to run it. + + The "Corresponding Source" for a work in object code form means all +the source code needed to generate, install, and (for an executable +work) run the object code and to modify the work, including scripts to +control those activities. However, it does not include the work's +System Libraries, or general-purpose tools or generally available free +programs which are used unmodified in performing those activities but +which are not part of the work. For example, Corresponding Source +includes interface definition files associated with source files for +the work, and the source code for shared libraries and dynamically +linked subprograms that the work is specifically designed to require, +such as by intimate data communication or control flow between those +subprograms and other parts of the work. + + The Corresponding Source need not include anything that users +can regenerate automatically from other parts of the Corresponding +Source. + + The Corresponding Source for a work in source code form is that +same work. + + 2. Basic Permissions. + + All rights granted under this License are granted for the term of +copyright on the Program, and are irrevocable provided the stated +conditions are met. This License explicitly affirms your unlimited +permission to run the unmodified Program. The output from running a +covered work is covered by this License only if the output, given its +content, constitutes a covered work. This License acknowledges your +rights of fair use or other equivalent, as provided by copyright law. + + You may make, run and propagate covered works that you do not +convey, without conditions so long as your license otherwise remains +in force. You may convey covered works to others for the sole purpose +of having them make modifications exclusively for you, or provide you +with facilities for running those works, provided that you comply with +the terms of this License in conveying all material for which you do +not control copyright. Those thus making or running the covered works +for you must do so exclusively on your behalf, under your direction +and control, on terms that prohibit them from making any copies of +your copyrighted material outside their relationship with you. + + Conveying under any other circumstances is permitted solely under +the conditions stated below. Sublicensing is not allowed; section 10 +makes it unnecessary. + + 3. Protecting Users' Legal Rights From Anti-Circumvention Law. + + No covered work shall be deemed part of an effective technological +measure under any applicable law fulfilling obligations under article +11 of the WIPO copyright treaty adopted on 20 December 1996, or +similar laws prohibiting or restricting circumvention of such +measures. + + When you convey a covered work, you waive any legal power to forbid +circumvention of technological measures to the extent such circumvention +is effected by exercising rights under this License with respect to +the covered work, and you disclaim any intention to limit operation or +modification of the work as a means of enforcing, against the work's +users, your or third parties' legal rights to forbid circumvention of +technological measures. + + 4. Conveying Verbatim Copies. + + You may convey verbatim copies of the Program's source code as you +receive it, in any medium, provided that you conspicuously and +appropriately publish on each copy an appropriate copyright notice; +keep intact all notices stating that this License and any +non-permissive terms added in accord with section 7 apply to the code; +keep intact all notices of the absence of any warranty; and give all +recipients a copy of this License along with the Program. + + You may charge any price or no price for each copy that you convey, +and you may offer support or warranty protection for a fee. + + 5. Conveying Modified Source Versions. + + You may convey a work based on the Program, or the modifications to +produce it from the Program, in the form of source code under the +terms of section 4, provided that you also meet all of these conditions: + + a) The work must carry prominent notices stating that you modified + it, and giving a relevant date. + + b) The work must carry prominent notices stating that it is + released under this License and any conditions added under section + 7. This requirement modifies the requirement in section 4 to + "keep intact all notices". + + c) You must license the entire work, as a whole, under this + License to anyone who comes into possession of a copy. This + License will therefore apply, along with any applicable section 7 + additional terms, to the whole of the work, and all its parts, + regardless of how they are packaged. This License gives no + permission to license the work in any other way, but it does not + invalidate such permission if you have separately received it. + + d) If the work has interactive user interfaces, each must display + Appropriate Legal Notices; however, if the Program has interactive + interfaces that do not display Appropriate Legal Notices, your + work need not make them do so. + + A compilation of a covered work with other separate and independent +works, which are not by their nature extensions of the covered work, +and which are not combined with it such as to form a larger program, +in or on a volume of a storage or distribution medium, is called an +"aggregate" if the compilation and its resulting copyright are not +used to limit the access or legal rights of the compilation's users +beyond what the individual works permit. Inclusion of a covered work +in an aggregate does not cause this License to apply to the other +parts of the aggregate. + + 6. Conveying Non-Source Forms. + + You may convey a covered work in object code form under the terms +of sections 4 and 5, provided that you also convey the +machine-readable Corresponding Source under the terms of this License, +in one of these ways: + + a) Convey the object code in, or embodied in, a physical product + (including a physical distribution medium), accompanied by the + Corresponding Source fixed on a durable physical medium + customarily used for software interchange. + + b) Convey the object code in, or embodied in, a physical product + (including a physical distribution medium), accompanied by a + written offer, valid for at least three years and valid for as + long as you offer spare parts or customer support for that product + model, to give anyone who possesses the object code either (1) a + copy of the Corresponding Source for all the software in the + product that is covered by this License, on a durable physical + medium customarily used for software interchange, for a price no + more than your reasonable cost of physically performing this + conveying of source, or (2) access to copy the + Corresponding Source from a network server at no charge. + + c) Convey individual copies of the object code with a copy of the + written offer to provide the Corresponding Source. This + alternative is allowed only occasionally and noncommercially, and + only if you received the object code with such an offer, in accord + with subsection 6b. + + d) Convey the object code by offering access from a designated + place (gratis or for a charge), and offer equivalent access to the + Corresponding Source in the same way through the same place at no + further charge. You need not require recipients to copy the + Corresponding Source along with the object code. If the place to + copy the object code is a network server, the Corresponding Source + may be on a different server (operated by you or a third party) + that supports equivalent copying facilities, provided you maintain + clear directions next to the object code saying where to find the + Corresponding Source. Regardless of what server hosts the + Corresponding Source, you remain obligated to ensure that it is + available for as long as needed to satisfy these requirements. + + e) Convey the object code using peer-to-peer transmission, provided + you inform other peers where the object code and Corresponding + Source of the work are being offered to the general public at no + charge under subsection 6d. + + A separable portion of the object code, whose source code is excluded +from the Corresponding Source as a System Library, need not be +included in conveying the object code work. + + A "User Product" is either (1) a "consumer product", which means any +tangible personal property which is normally used for personal, family, +or household purposes, or (2) anything designed or sold for incorporation +into a dwelling. In determining whether a product is a consumer product, +doubtful cases shall be resolved in favor of coverage. For a particular +product received by a particular user, "normally used" refers to a +typical or common use of that class of product, regardless of the status +of the particular user or of the way in which the particular user +actually uses, or expects or is expected to use, the product. A product +is a consumer product regardless of whether the product has substantial +commercial, industrial or non-consumer uses, unless such uses represent +the only significant mode of use of the product. + + "Installation Information" for a User Product means any methods, +procedures, authorization keys, or other information required to install +and execute modified versions of a covered work in that User Product from +a modified version of its Corresponding Source. The information must +suffice to ensure that the continued functioning of the modified object +code is in no case prevented or interfered with solely because +modification has been made. + + If you convey an object code work under this section in, or with, or +specifically for use in, a User Product, and the conveying occurs as +part of a transaction in which the right of possession and use of the +User Product is transferred to the recipient in perpetuity or for a +fixed term (regardless of how the transaction is characterized), the +Corresponding Source conveyed under this section must be accompanied +by the Installation Information. But this requirement does not apply +if neither you nor any third party retains the ability to install +modified object code on the User Product (for example, the work has +been installed in ROM). + + The requirement to provide Installation Information does not include a +requirement to continue to provide support service, warranty, or updates +for a work that has been modified or installed by the recipient, or for +the User Product in which it has been modified or installed. Access to a +network may be denied when the modification itself materially and +adversely affects the operation of the network or violates the rules and +protocols for communication across the network. + + Corresponding Source conveyed, and Installation Information provided, +in accord with this section must be in a format that is publicly +documented (and with an implementation available to the public in +source code form), and must require no special password or key for +unpacking, reading or copying. + + 7. Additional Terms. + + "Additional permissions" are terms that supplement the terms of this +License by making exceptions from one or more of its conditions. +Additional permissions that are applicable to the entire Program shall +be treated as though they were included in this License, to the extent +that they are valid under applicable law. If additional permissions +apply only to part of the Program, that part may be used separately +under those permissions, but the entire Program remains governed by +this License without regard to the additional permissions. + + When you convey a copy of a covered work, you may at your option +remove any additional permissions from that copy, or from any part of +it. (Additional permissions may be written to require their own +removal in certain cases when you modify the work.) You may place +additional permissions on material, added by you to a covered work, +for which you have or can give appropriate copyright permission. + + Notwithstanding any other provision of this License, for material you +add to a covered work, you may (if authorized by the copyright holders of +that material) supplement the terms of this License with terms: + + a) Disclaiming warranty or limiting liability differently from the + terms of sections 15 and 16 of this License; or + + b) Requiring preservation of specified reasonable legal notices or + author attributions in that material or in the Appropriate Legal + Notices displayed by works containing it; or + + c) Prohibiting misrepresentation of the origin of that material, or + requiring that modified versions of such material be marked in + reasonable ways as different from the original version; or + + d) Limiting the use for publicity purposes of names of licensors or + authors of the material; or + + e) Declining to grant rights under trademark law for use of some + trade names, trademarks, or service marks; or + + f) Requiring indemnification of licensors and authors of that + material by anyone who conveys the material (or modified versions of + it) with contractual assumptions of liability to the recipient, for + any liability that these contractual assumptions directly impose on + those licensors and authors. + + All other non-permissive additional terms are considered "further +restrictions" within the meaning of section 10. If the Program as you +received it, or any part of it, contains a notice stating that it is +governed by this License along with a term that is a further +restriction, you may remove that term. If a license document contains +a further restriction but permits relicensing or conveying under this +License, you may add to a covered work material governed by the terms +of that license document, provided that the further restriction does +not survive such relicensing or conveying. + + If you add terms to a covered work in accord with this section, you +must place, in the relevant source files, a statement of the +additional terms that apply to those files, or a notice indicating +where to find the applicable terms. + + Additional terms, permissive or non-permissive, may be stated in the +form of a separately written license, or stated as exceptions; +the above requirements apply either way. + + 8. Termination. + + You may not propagate or modify a covered work except as expressly +provided under this License. Any attempt otherwise to propagate or +modify it is void, and will automatically terminate your rights under +this License (including any patent licenses granted under the third +paragraph of section 11). + + However, if you cease all violation of this License, then your +license from a particular copyright holder is reinstated (a) +provisionally, unless and until the copyright holder explicitly and +finally terminates your license, and (b) permanently, if the copyright +holder fails to notify you of the violation by some reasonable means +prior to 60 days after the cessation. + + Moreover, your license from a particular copyright holder is +reinstated permanently if the copyright holder notifies you of the +violation by some reasonable means, this is the first time you have +received notice of violation of this License (for any work) from that +copyright holder, and you cure the violation prior to 30 days after +your receipt of the notice. + + Termination of your rights under this section does not terminate the +licenses of parties who have received copies or rights from you under +this License. If your rights have been terminated and not permanently +reinstated, you do not qualify to receive new licenses for the same +material under section 10. + + 9. Acceptance Not Required for Having Copies. + + You are not required to accept this License in order to receive or +run a copy of the Program. Ancillary propagation of a covered work +occurring solely as a consequence of using peer-to-peer transmission +to receive a copy likewise does not require acceptance. However, +nothing other than this License grants you permission to propagate or +modify any covered work. These actions infringe copyright if you do +not accept this License. Therefore, by modifying or propagating a +covered work, you indicate your acceptance of this License to do so. + + 10. Automatic Licensing of Downstream Recipients. + + Each time you convey a covered work, the recipient automatically +receives a license from the original licensors, to run, modify and +propagate that work, subject to this License. You are not responsible +for enforcing compliance by third parties with this License. + + An "entity transaction" is a transaction transferring control of an +organization, or substantially all assets of one, or subdividing an +organization, or merging organizations. If propagation of a covered +work results from an entity transaction, each party to that +transaction who receives a copy of the work also receives whatever +licenses to the work the party's predecessor in interest had or could +give under the previous paragraph, plus a right to possession of the +Corresponding Source of the work from the predecessor in interest, if +the predecessor has it or can get it with reasonable efforts. + + You may not impose any further restrictions on the exercise of the +rights granted or affirmed under this License. For example, you may +not impose a license fee, royalty, or other charge for exercise of +rights granted under this License, and you may not initiate litigation +(including a cross-claim or counterclaim in a lawsuit) alleging that +any patent claim is infringed by making, using, selling, offering for +sale, or importing the Program or any portion of it. + + 11. Patents. + + A "contributor" is a copyright holder who authorizes use under this +License of the Program or a work on which the Program is based. The +work thus licensed is called the contributor's "contributor version". + + A contributor's "essential patent claims" are all patent claims +owned or controlled by the contributor, whether already acquired or +hereafter acquired, that would be infringed by some manner, permitted +by this License, of making, using, or selling its contributor version, +but do not include claims that would be infringed only as a +consequence of further modification of the contributor version. For +purposes of this definition, "control" includes the right to grant +patent sublicenses in a manner consistent with the requirements of +this License. + + Each contributor grants you a non-exclusive, worldwide, royalty-free +patent license under the contributor's essential patent claims, to +make, use, sell, offer for sale, import and otherwise run, modify and +propagate the contents of its contributor version. + + In the following three paragraphs, a "patent license" is any express +agreement or commitment, however denominated, not to enforce a patent +(such as an express permission to practice a patent or covenant not to +sue for patent infringement). To "grant" such a patent license to a +party means to make such an agreement or commitment not to enforce a +patent against the party. + + If you convey a covered work, knowingly relying on a patent license, +and the Corresponding Source of the work is not available for anyone +to copy, free of charge and under the terms of this License, through a +publicly available network server or other readily accessible means, +then you must either (1) cause the Corresponding Source to be so +available, or (2) arrange to deprive yourself of the benefit of the +patent license for this particular work, or (3) arrange, in a manner +consistent with the requirements of this License, to extend the patent +license to downstream recipients. "Knowingly relying" means you have +actual knowledge that, but for the patent license, your conveying the +covered work in a country, or your recipient's use of the covered work +in a country, would infringe one or more identifiable patents in that +country that you have reason to believe are valid. + + If, pursuant to or in connection with a single transaction or +arrangement, you convey, or propagate by procuring conveyance of, a +covered work, and grant a patent license to some of the parties +receiving the covered work authorizing them to use, propagate, modify +or convey a specific copy of the covered work, then the patent license +you grant is automatically extended to all recipients of the covered +work and works based on it. + + A patent license is "discriminatory" if it does not include within +the scope of its coverage, prohibits the exercise of, or is +conditioned on the non-exercise of one or more of the rights that are +specifically granted under this License. You may not convey a covered +work if you are a party to an arrangement with a third party that is +in the business of distributing software, under which you make payment +to the third party based on the extent of your activity of conveying +the work, and under which the third party grants, to any of the +parties who would receive the covered work from you, a discriminatory +patent license (a) in connection with copies of the covered work +conveyed by you (or copies made from those copies), or (b) primarily +for and in connection with specific products or compilations that +contain the covered work, unless you entered into that arrangement, +or that patent license was granted, prior to 28 March 2007. + + Nothing in this License shall be construed as excluding or limiting +any implied license or other defenses to infringement that may +otherwise be available to you under applicable patent law. + + 12. No Surrender of Others' Freedom. + + If conditions are imposed on you (whether by court order, agreement or +otherwise) that contradict the conditions of this License, they do not +excuse you from the conditions of this License. If you cannot convey a +covered work so as to satisfy simultaneously your obligations under this +License and any other pertinent obligations, then as a consequence you may +not convey it at all. For example, if you agree to terms that obligate you +to collect a royalty for further conveying from those to whom you convey +the Program, the only way you could satisfy both those terms and this +License would be to refrain entirely from conveying the Program. + + 13. Use with the GNU Affero General Public License. + + Notwithstanding any other provision of this License, you have +permission to link or combine any covered work with a work licensed +under version 3 of the GNU Affero General Public License into a single +combined work, and to convey the resulting work. The terms of this +License will continue to apply to the part which is the covered work, +but the special requirements of the GNU Affero General Public License, +section 13, concerning interaction through a network will apply to the +combination as such. + + 14. Revised Versions of this License. + + The Free Software Foundation may publish revised and/or new versions of +the GNU General Public License from time to time. Such new versions will +be similar in spirit to the present version, but may differ in detail to +address new problems or concerns. + + Each version is given a distinguishing version number. If the +Program specifies that a certain numbered version of the GNU General +Public License "or any later version" applies to it, you have the +option of following the terms and conditions either of that numbered +version or of any later version published by the Free Software +Foundation. If the Program does not specify a version number of the +GNU General Public License, you may choose any version ever published +by the Free Software Foundation. + + If the Program specifies that a proxy can decide which future +versions of the GNU General Public License can be used, that proxy's +public statement of acceptance of a version permanently authorizes you +to choose that version for the Program. + + Later license versions may give you additional or different +permissions. However, no additional obligations are imposed on any +author or copyright holder as a result of your choosing to follow a +later version. + + 15. Disclaimer of Warranty. + + THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY +APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT +HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY +OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, +THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM +IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF +ALL NECESSARY SERVICING, REPAIR OR CORRECTION. + + 16. Limitation of Liability. + + IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING +WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS +THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY +GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE +USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF +DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD +PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), +EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF +SUCH DAMAGES. + + 17. Interpretation of Sections 15 and 16. + + If the disclaimer of warranty and limitation of liability provided +above cannot be given local legal effect according to their terms, +reviewing courts shall apply local law that most closely approximates +an absolute waiver of all civil liability in connection with the +Program, unless a warranty or assumption of liability accompanies a +copy of the Program in return for a fee. + + END OF TERMS AND CONDITIONS + + How to Apply These Terms to Your New Programs + + If you develop a new program, and you want it to be of the greatest +possible use to the public, the best way to achieve this is to make it +free software which everyone can redistribute and change under these terms. + + To do so, attach the following notices to the program. It is safest +to attach them to the start of each source file to most effectively +state the exclusion of warranty; and each file should have at least +the "copyright" line and a pointer to where the full notice is found. + + <one line to give the program's name and a brief idea of what it does.> + Copyright (C) <year> <name of author> + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see <https://www.gnu.org/licenses/>. + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + <program> Copyright (C) <year> <name of author> + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +<https://www.gnu.org/licenses/>. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +<https://www.gnu.org/licenses/why-not-lgpl.html>. @@ -0,0 +1,12 @@ +3d.el - an Emacs Lisp 3D graphics playground + +This is meant to be used as a toy (which may include educational +purposes): an external renderer followed by conversion from raster +into ASCII would be much more efficient, and likely it would produce +better results, while this is in Elisp and hackable. + +The API is not stable, and generally this project is neither thought +through nor prepared carefully: just put together to play with, and +shared in order for others to possibly play with it as well. Best to +not use it as a dependency, at least not until some review and +refactoring. diff --git a/examples/sphere-and-text.blend b/examples/sphere-and-text.blend Binary files differnew file mode 100644 index 0000000..1ac29df --- /dev/null +++ b/examples/sphere-and-text.blend diff --git a/examples/sphere-and-text.el b/examples/sphere-and-text.el new file mode 100644 index 0000000..0e9d2ea --- /dev/null +++ b/examples/sphere-and-text.el @@ -0,0 +1,39 @@ +;; Takes about 17 seconds on Xeon E3-1275 v2 with byte-compiled 3d.el. + +(benchmark-run 1 + (let* ((rotate-x-angle (degrees-to-radians 80)) + (rotate-y-angle (degrees-to-radians 15)) + (rotate-z-angle (/ pi 16)) + (rotate-x (vector (vector 1 0 0 0) + (vector 0 (cos rotate-x-angle) (sin rotate-x-angle) 0) + (vector 0 (- (sin rotate-x-angle)) (cos rotate-x-angle) 0) + (vector 0 0 0 1))) + (rotate-y (vector (vector (cos rotate-y-angle) 0 (- (sin rotate-y-angle)) 0) + (vector 0 1 0 0) + (vector (sin rotate-y-angle) 0 (cos rotate-y-angle) 0) + (vector 0 0 0 1))) + (rotate-z (vector (vector (cos rotate-z-angle) (sin rotate-z-angle) 0 0) + (vector (- (sin rotate-z-angle)) (cos rotate-z-angle) 0 0) + (vector 0 0 1 0) + (vector 0 0 0 1))) + (camera-to-world (3d-matrix-multiply + rotate-z + (3d-matrix-multiply + rotate-y + (3d-matrix-multiply + rotate-x + '[[1 0 0 0] [0 1 0 0] [0 0 1 0] [-0.3 1 9 1]])))) + (polygons (with-current-buffer "sphere-and-text.ply" (3d-ply-load))) + (buf (get-buffer-create "*sphere-and-text*"))) + (3d-polygons-add-normals polygons) + (with-current-buffer buf + (kill-region (point-min) (point-max)) + (3d-render polygons + '[10 20 -10] + " .-~^!?obO#" + camera-to-world + 80 + 60 + (/ 9.0 18) + (degrees-to-radians 27)) + (display-buffer buf)))) diff --git a/examples/sphere-and-text.ply b/examples/sphere-and-text.ply new file mode 100644 index 0000000..7574759 --- /dev/null +++ b/examples/sphere-and-text.ply @@ -0,0 +1,495 @@ +ply +format ascii 1.0 +comment Created by Blender 3.4.1 - www.blender.org +element vertex 284 +property float x +property float y +property float z +property float nx +property float ny +property float nz +property float s +property float t +element face 196 +property list uchar uint vertex_indices +end_header +0.659881 -0.004775 0.134057 0.000000 0.000000 1.000000 0.000000 0.000000 +0.748881 0.677225 0.134057 0.000000 0.000000 1.000000 0.666667 0.000000 +0.659881 0.677225 0.134057 0.000000 0.000000 1.000000 0.333333 0.000000 +0.748881 -0.004775 0.134057 0.000000 0.000000 1.000000 1.000000 0.000000 +0.156881 0.225225 0.134057 0.000000 0.000000 1.000000 0.100000 0.000000 +0.368881 0.376225 0.134057 0.000000 0.000000 1.000000 0.800000 0.000000 +0.366881 0.453225 0.134057 0.000000 0.000000 1.000000 0.200000 0.000000 +0.561881 0.206225 0.134057 0.000000 0.000000 1.000000 0.300000 0.000000 +0.247881 0.265225 0.134057 0.000000 0.000000 1.000000 0.900000 0.000000 +0.473881 0.265225 0.134057 0.000000 0.000000 1.000000 1.000000 0.000000 +0.374881 -0.013775 0.134057 0.000000 0.000000 1.000000 0.000000 0.000000 +0.245881 0.206225 0.134057 0.000000 0.000000 1.000000 0.400000 0.000000 +0.396881 0.071225 0.134057 0.000000 0.000000 1.000000 0.500000 0.000000 +0.553881 0.039225 0.134057 0.000000 0.000000 1.000000 0.700000 0.000000 +0.553881 0.125225 0.134057 0.000000 0.000000 1.000000 0.600000 0.000000 +-0.054119 0.046225 0.134057 0.000000 0.000000 1.000000 0.333333 0.000000 +0.065881 0.046225 0.134057 0.000000 0.000000 1.000000 1.000000 0.000000 +0.005881 0.106225 0.134057 0.000000 0.000000 1.000000 0.666667 0.000000 +0.005881 -0.013775 0.134057 0.000000 0.000000 1.000000 0.000000 0.000000 +-0.251119 0.435225 0.134057 0.000000 0.000000 1.000000 0.272727 0.000000 +-0.162119 0.677225 0.134057 0.000000 0.000000 1.000000 0.454545 0.000000 +-0.251119 0.677225 0.134057 0.000000 0.000000 1.000000 0.363636 0.000000 +-0.162119 -0.004775 0.134057 0.000000 0.000000 1.000000 0.545455 0.000000 +-0.569119 0.230225 0.134057 0.000000 0.000000 1.000000 0.090909 0.000000 +-0.345119 0.453225 0.134057 0.000000 0.000000 1.000000 0.181818 0.000000 +-0.334119 0.373225 0.134057 0.000000 0.000000 1.000000 0.636364 0.000000 +-0.251119 0.356225 0.134057 0.000000 0.000000 1.000000 1.000000 0.000000 +-0.478119 0.217225 0.134057 0.000000 0.000000 1.000000 0.727273 0.000000 +-0.251119 0.070225 0.134057 0.000000 0.000000 1.000000 0.909091 0.000000 +-0.351119 -0.004775 0.134057 0.000000 0.000000 1.000000 0.000000 0.000000 +-0.341119 0.070225 0.134057 0.000000 0.000000 1.000000 0.818182 0.000000 +-1.032119 0.657225 0.134057 0.000000 0.000000 1.000000 1.000000 0.000000 +-0.700119 0.508225 0.134057 0.000000 0.000000 1.000000 0.071429 0.000000 +-0.901119 0.686225 0.134057 0.000000 0.000000 1.000000 0.000000 0.000000 +-1.032119 0.564225 0.134057 0.000000 0.000000 1.000000 0.928571 0.000000 +-0.916119 0.593225 0.134057 0.000000 0.000000 1.000000 0.857143 0.000000 +-0.798119 0.491225 0.134057 0.000000 0.000000 1.000000 0.785714 0.000000 +-0.787119 0.355225 0.134057 0.000000 0.000000 1.000000 0.142857 0.000000 +-0.933119 0.392225 0.134057 0.000000 0.000000 1.000000 0.714286 0.000000 +-0.933119 0.302225 0.134057 0.000000 0.000000 1.000000 0.642857 0.000000 +-0.689119 0.193225 0.134057 0.000000 0.000000 1.000000 0.214286 0.000000 +-0.787119 0.188225 0.134057 0.000000 0.000000 1.000000 0.571429 0.000000 +-0.904119 -0.013775 0.134057 0.000000 0.000000 1.000000 0.285714 0.000000 +-0.897119 0.079225 0.134057 0.000000 0.000000 1.000000 0.500000 0.000000 +-1.049119 0.025225 0.134057 0.000000 0.000000 1.000000 0.357143 0.000000 +-1.049119 0.131225 0.134057 0.000000 0.000000 1.000000 0.428571 0.000000 +0.659881 -0.004775 -0.065943 0.000000 0.000000 -1.000000 0.000000 0.000000 +0.659881 0.677225 -0.065943 0.000000 0.000000 -1.000000 0.333333 0.000000 +0.748881 0.677225 -0.065943 0.000000 0.000000 -1.000000 0.666667 0.000000 +0.748881 -0.004775 -0.065943 0.000000 0.000000 -1.000000 1.000000 0.000000 +0.156881 0.225225 -0.065943 0.000000 0.000000 -1.000000 0.100000 0.000000 +0.366881 0.453225 -0.065943 0.000000 0.000000 -1.000000 0.200000 0.000000 +0.368881 0.376225 -0.065943 0.000000 0.000000 -1.000000 0.800000 0.000000 +0.561881 0.206225 -0.065943 0.000000 0.000000 -1.000000 0.300000 0.000000 +0.247881 0.265225 -0.065943 0.000000 0.000000 -1.000000 0.900000 0.000000 +0.473881 0.265225 -0.065943 0.000000 0.000000 -1.000000 1.000000 0.000000 +0.374881 -0.013775 -0.065943 0.000000 0.000000 -1.000000 0.000000 0.000000 +0.245881 0.206225 -0.065943 0.000000 0.000000 -1.000000 0.400000 0.000000 +0.396881 0.071225 -0.065943 0.000000 0.000000 -1.000000 0.500000 0.000000 +0.553881 0.125225 -0.065943 0.000000 0.000000 -1.000000 0.600000 0.000000 +0.553881 0.039225 -0.065943 0.000000 0.000000 -1.000000 0.700000 0.000000 +-0.054119 0.046225 -0.065943 0.000000 0.000000 -1.000000 0.333333 0.000000 +0.005881 0.106225 -0.065943 0.000000 0.000000 -1.000000 0.666667 0.000000 +0.065881 0.046225 -0.065943 0.000000 0.000000 -1.000000 1.000000 0.000000 +0.005881 -0.013775 -0.065943 0.000000 0.000000 -1.000000 0.000000 0.000000 +-0.251119 0.435225 -0.065943 0.000000 0.000000 -1.000000 0.272727 0.000000 +-0.251119 0.677225 -0.065943 0.000000 0.000000 -1.000000 0.363636 0.000000 +-0.162119 0.677225 -0.065943 0.000000 0.000000 -1.000000 0.454545 0.000000 +-0.162119 -0.004775 -0.065943 0.000000 0.000000 -1.000000 0.545455 0.000000 +-0.569119 0.230225 -0.065943 0.000000 0.000000 -1.000000 0.090909 0.000000 +-0.345119 0.453225 -0.065943 0.000000 0.000000 -1.000000 0.181818 0.000000 +-0.334119 0.373225 -0.065943 0.000000 0.000000 -1.000000 0.636364 0.000000 +-0.251119 0.356225 -0.065943 0.000000 0.000000 -1.000000 1.000000 0.000000 +-0.478119 0.217225 -0.065943 0.000000 0.000000 -1.000000 0.727273 0.000000 +-0.251119 0.070225 -0.065943 0.000000 0.000000 -1.000000 0.909091 0.000000 +-0.351119 -0.004775 -0.065943 0.000000 0.000000 -1.000000 0.000000 0.000000 +-0.341119 0.070225 -0.065943 0.000000 0.000000 -1.000000 0.818182 0.000000 +-1.032119 0.657225 -0.065943 0.000000 0.000000 -1.000000 1.000000 0.000000 +-0.901119 0.686225 -0.065943 0.000000 0.000000 -1.000000 0.000000 0.000000 +-0.700119 0.508225 -0.065943 0.000000 0.000000 -1.000000 0.071429 0.000000 +-1.032119 0.564225 -0.065943 0.000000 0.000000 -1.000000 0.928571 0.000000 +-0.916119 0.593225 -0.065943 0.000000 0.000000 -1.000000 0.857143 0.000000 +-0.798119 0.491225 -0.065943 0.000000 0.000000 -1.000000 0.785714 0.000000 +-0.787119 0.355225 -0.065943 0.000000 0.000000 -1.000000 0.142857 0.000000 +-0.933119 0.392225 -0.065943 0.000000 0.000000 -1.000000 0.714286 0.000000 +-0.933119 0.302225 -0.065943 0.000000 0.000000 -1.000000 0.642857 0.000000 +-0.689119 0.193225 -0.065943 0.000000 0.000000 -1.000000 0.214286 0.000000 +-0.787119 0.188225 -0.065943 0.000000 0.000000 -1.000000 0.571429 0.000000 +-0.904119 -0.013775 -0.065943 0.000000 0.000000 -1.000000 0.285714 0.000000 +-0.897119 0.079225 -0.065943 0.000000 0.000000 -1.000000 0.500000 0.000000 +-1.049119 0.025225 -0.065943 0.000000 0.000000 -1.000000 0.357143 0.000000 +-1.049119 0.131225 -0.065943 0.000000 0.000000 -1.000000 0.428571 0.000000 +-0.901119 0.686225 0.134057 0.250758 0.968050 0.000000 0.000000 1.000000 +-0.700119 0.508225 0.134057 0.986502 0.163748 0.000000 0.066667 1.000000 +-0.700119 0.508225 -0.065943 0.986502 0.163748 0.000000 0.066667 0.000000 +-0.901119 0.686225 -0.065943 0.250758 0.968050 0.000000 0.000000 0.000000 +-0.787119 0.355225 0.134057 0.999909 0.013505 0.000000 0.133333 1.000000 +-0.787119 0.355225 -0.065943 0.999909 0.013505 0.000000 0.133333 0.000000 +-0.689119 0.193225 0.134057 0.991542 -0.129788 0.000000 0.200000 1.000000 +-0.689119 0.193225 -0.065943 0.991542 -0.129788 0.000000 0.200000 0.000000 +-0.904119 -0.013775 0.134057 0.249194 -0.968454 0.000000 0.266667 1.000000 +-0.904119 -0.013775 -0.065943 0.249194 -0.968454 0.000000 0.266667 0.000000 +-1.049119 0.025225 0.134057 -0.793642 -0.608385 0.000000 0.333333 1.000000 +-1.049119 0.025225 -0.065943 -0.793642 -0.608385 0.000000 0.333333 0.000000 +-1.049119 0.131225 0.134057 -0.581512 0.813538 0.000000 0.400000 1.000000 +-1.049119 0.131225 -0.065943 -0.581512 0.813538 0.000000 0.400000 0.000000 +-0.897119 0.079225 0.134057 -0.223695 0.974659 0.000000 0.466667 1.000000 +-0.897119 0.079225 -0.065943 -0.223695 0.974659 0.000000 0.466667 0.000000 +-0.787119 0.188225 0.134057 -0.998263 -0.058913 0.000000 0.533333 1.000000 +-0.787119 0.188225 -0.065943 -0.998263 -0.058913 0.000000 0.533333 0.000000 +-0.933119 0.302225 0.134057 -0.898731 -0.438501 0.000000 0.600000 1.000000 +-0.933119 0.302225 -0.065943 -0.898731 -0.438501 0.000000 0.600000 0.000000 +-0.933119 0.392225 0.134057 -0.892010 0.452016 0.000000 0.666667 1.000000 +-0.933119 0.392225 -0.065943 -0.892010 0.452016 0.000000 0.666667 0.000000 +-0.798119 0.491225 0.134057 -0.999199 0.040014 0.000000 0.733333 1.000000 +-0.798119 0.491225 -0.065943 -0.999199 0.040014 0.000000 0.733333 0.000000 +-0.916119 0.593225 0.134057 -0.231783 -0.972768 0.000000 0.800000 1.000000 +-0.916119 0.593225 -0.065943 -0.231783 -0.972768 0.000000 0.800000 0.000000 +-1.032119 0.564225 0.134057 -0.615412 -0.788205 0.000000 0.866667 1.000000 +-1.032119 0.564225 -0.065943 -0.615412 -0.788205 0.000000 0.866667 0.000000 +-1.032119 0.657225 0.134057 -0.779789 0.626043 0.000000 0.933333 1.000000 +-1.032119 0.657225 -0.065943 -0.779789 0.626043 0.000000 0.933333 0.000000 +-0.901119 0.686225 0.134057 0.250758 0.968050 0.000000 1.000000 1.000000 +-0.901119 0.686225 -0.065943 0.250758 0.968050 0.000000 1.000000 0.000000 +-0.351119 -0.004775 0.134057 -0.399943 -0.916540 0.000000 0.000000 1.000000 +-0.569119 0.230225 0.134057 -0.999803 0.019872 0.000000 0.142857 1.000000 +-0.569119 0.230225 -0.065943 -0.999803 0.019872 0.000000 0.142857 0.000000 +-0.351119 -0.004775 -0.065943 -0.399943 -0.916540 0.000000 0.000000 0.000000 +-0.345119 0.453225 0.134057 -0.292635 0.956224 0.000000 0.285714 1.000000 +-0.345119 0.453225 -0.065943 -0.292635 0.956224 0.000000 0.285714 0.000000 +-0.251119 0.435225 0.134057 -0.637153 0.770737 0.000000 0.428571 1.000000 +-0.251119 0.435225 -0.065943 -0.637153 0.770737 0.000000 0.428571 0.000000 +-0.251119 0.677225 0.134057 -0.707107 0.707107 0.000000 0.571429 1.000000 +-0.251119 0.677225 -0.065943 -0.707107 0.707107 0.000000 0.571429 0.000000 +-0.162119 0.677225 0.134057 0.707107 0.707107 0.000000 0.714286 1.000000 +-0.162119 0.677225 -0.065943 0.707107 0.707107 0.000000 0.714286 0.000000 +-0.162119 -0.004775 0.134057 0.707107 -0.707107 0.000000 0.857143 1.000000 +-0.162119 -0.004775 -0.065943 0.707107 -0.707107 0.000000 0.857143 0.000000 +-0.351119 -0.004775 0.134057 -0.399943 -0.916540 0.000000 1.000000 1.000000 +-0.351119 -0.004775 -0.065943 -0.399943 -0.916540 0.000000 1.000000 0.000000 +-0.334119 0.373225 0.134057 0.306654 -0.951821 0.000000 0.000000 1.000000 +-0.478119 0.217225 0.134057 0.999997 0.002391 0.000000 0.200000 1.000000 +-0.478119 0.217225 -0.065943 0.999997 0.002391 0.000000 0.200000 0.000000 +-0.334119 0.373225 -0.065943 0.306654 -0.951821 0.000000 0.000000 0.000000 +-0.341119 0.070225 0.134057 0.398882 0.917002 0.000000 0.400000 1.000000 +-0.341119 0.070225 -0.065943 0.398882 0.917002 0.000000 0.400000 0.000000 +-0.251119 0.070225 0.134057 -0.707107 0.707107 0.000000 0.600000 1.000000 +-0.251119 0.070225 -0.065943 -0.707107 0.707107 0.000000 0.600000 0.000000 +-0.251119 0.356225 0.134057 -0.774808 -0.632197 0.000000 0.800000 1.000000 +-0.251119 0.356225 -0.065943 -0.774808 -0.632197 0.000000 0.800000 0.000000 +-0.334119 0.373225 0.134057 0.306654 -0.951821 0.000000 1.000000 1.000000 +-0.334119 0.373225 -0.065943 0.306654 -0.951821 0.000000 1.000000 0.000000 +0.005881 -0.013775 0.134057 -0.000001 -1.000000 0.000000 0.000000 1.000000 +-0.054119 0.046225 0.134057 -1.000000 -0.000000 0.000000 0.250000 1.000000 +-0.054119 0.046225 -0.065943 -1.000000 -0.000000 0.000000 0.250000 0.000000 +0.005881 -0.013775 -0.065943 -0.000001 -1.000000 0.000000 0.000000 0.000000 +0.005881 0.106225 0.134057 -0.000001 1.000000 0.000000 0.500000 1.000000 +0.005881 0.106225 -0.065943 -0.000001 1.000000 0.000000 0.500000 0.000000 +0.065881 0.046225 0.134057 1.000000 0.000000 0.000000 0.750000 1.000000 +0.065881 0.046225 -0.065943 1.000000 0.000000 0.000000 0.750000 0.000000 +0.005881 -0.013775 0.134057 -0.000001 -1.000000 0.000000 1.000000 1.000000 +0.005881 -0.013775 -0.065943 -0.000001 -1.000000 0.000000 1.000000 0.000000 +0.374881 -0.013775 0.134057 -0.268395 -0.963309 0.000000 0.000000 1.000000 +0.156881 0.225225 0.134057 -0.999997 0.002423 0.000000 0.125000 1.000000 +0.156881 0.225225 -0.065943 -0.999997 0.002423 0.000000 0.125000 0.000000 +0.374881 -0.013775 -0.065943 -0.268395 -0.963309 0.000000 0.000000 0.000000 +0.366881 0.453225 0.134057 0.038009 0.999277 0.000000 0.250000 1.000000 +0.366881 0.453225 -0.065943 0.038009 0.999277 0.000000 0.250000 0.000000 +0.561881 0.206225 0.134057 0.899901 -0.436094 0.000000 0.375000 1.000000 +0.561881 0.206225 -0.065943 0.899901 -0.436094 0.000000 0.375000 0.000000 +0.245881 0.206225 0.134057 0.934211 -0.356721 0.000000 0.500000 1.000000 +0.245881 0.206225 -0.065943 0.934211 -0.356721 0.000000 0.500000 0.000000 +0.396881 0.071225 0.134057 0.197806 0.980241 0.000000 0.625000 1.000000 +0.396881 0.071225 -0.065943 0.197806 0.980241 0.000000 0.625000 0.000000 +0.553881 0.125225 0.134057 0.580841 0.814017 0.000000 0.750000 1.000000 +0.553881 0.125225 -0.065943 0.580841 0.814017 0.000000 0.750000 0.000000 +0.553881 0.039225 0.134057 0.801220 -0.598370 0.000000 0.875000 1.000000 +0.553881 0.039225 -0.065943 0.801220 -0.598370 0.000000 0.875000 0.000000 +0.374881 -0.013775 0.134057 -0.268395 -0.963309 0.000000 1.000000 1.000000 +0.374881 -0.013775 -0.065943 -0.268395 -0.963309 0.000000 1.000000 0.000000 +0.368881 0.376225 0.134057 -0.035416 -0.999373 0.000000 0.000000 1.000000 +0.247881 0.265225 0.134057 0.931907 0.362697 0.000000 0.333333 1.000000 +0.247881 0.265225 -0.065943 0.931907 0.362697 0.000000 0.333333 0.000000 +0.368881 0.376225 -0.065943 -0.035416 -0.999373 0.000000 0.000000 0.000000 +0.473881 0.265225 0.134057 -0.918477 0.395474 0.000000 0.666667 1.000000 +0.473881 0.265225 -0.065943 -0.918477 0.395474 0.000000 0.666667 0.000000 +0.368881 0.376225 0.134057 -0.035416 -0.999373 0.000000 1.000000 1.000000 +0.368881 0.376225 -0.065943 -0.035416 -0.999373 0.000000 1.000000 0.000000 +0.659881 -0.004775 0.134057 -0.707107 -0.707107 0.000000 0.000000 1.000000 +0.659881 0.677225 0.134057 -0.707107 0.707107 0.000000 0.250000 1.000000 +0.659881 0.677225 -0.065943 -0.707107 0.707107 0.000000 0.250000 0.000000 +0.659881 -0.004775 -0.065943 -0.707107 -0.707107 0.000000 0.000000 0.000000 +0.748881 0.677225 0.134057 0.707107 0.707107 0.000000 0.500000 1.000000 +0.748881 0.677225 -0.065943 0.707107 0.707107 0.000000 0.500000 0.000000 +0.748881 -0.004775 0.134057 0.707107 -0.707107 0.000000 0.750000 1.000000 +0.748881 -0.004775 -0.065943 0.707107 -0.707107 0.000000 0.750000 0.000000 +0.659881 -0.004775 0.134057 -0.707107 -0.707107 0.000000 1.000000 1.000000 +0.659881 -0.004775 -0.065943 -0.707107 -0.707107 0.000000 1.000000 0.000000 +0.154150 2.799267 -0.589432 -0.000000 0.797851 -0.602855 0.700000 0.285714 +0.154150 2.992364 -0.188464 0.000000 0.976928 -0.213568 0.700000 0.428571 +0.727198 2.806169 -0.188464 0.574224 0.790352 -0.213568 0.600000 0.428571 +0.613699 2.649951 -0.589432 0.468965 0.645475 -0.602855 0.600000 0.285714 +0.154150 2.992364 0.256578 0.000000 0.976928 0.213568 0.700000 0.571429 +0.154150 2.799267 0.657547 -0.000000 0.797851 0.602855 0.700000 0.714286 +0.613699 2.649951 0.657547 0.468965 0.645475 0.602855 0.600000 0.714286 +0.727198 2.806169 0.256578 0.574224 0.790352 0.213568 0.600000 0.571429 +0.154150 2.451319 0.935026 0.000000 0.468515 0.883456 0.700000 0.857143 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.650000 1.000000 +0.409180 2.368455 0.935026 0.275386 0.379036 0.883456 0.600000 0.857143 +0.154150 2.451319 -0.866911 0.000000 0.468515 -0.883456 0.700000 0.142857 +0.409180 2.368455 -0.866911 0.275386 0.379036 -0.883456 0.600000 0.142857 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.650000 0.000000 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.550000 0.000000 +0.566798 2.151513 -0.866911 0.445584 0.144779 -0.883456 0.500000 0.142857 +1.081361 2.318705 -0.188464 0.929114 0.301887 -0.213568 0.500000 0.428571 +0.897716 2.259035 -0.589432 0.758801 0.246550 -0.602855 0.500000 0.285714 +0.897716 2.259035 0.657547 0.758801 0.246550 0.602855 0.500000 0.714286 +1.081361 2.318705 0.256578 0.929114 0.301887 0.213568 0.500000 0.571429 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.550000 1.000000 +0.566798 2.151513 0.935026 0.445584 0.144779 0.883456 0.500000 0.857143 +1.081361 1.716166 -0.188464 0.929114 -0.301887 -0.213568 0.400000 0.428571 +0.897716 1.775837 -0.589432 0.758801 -0.246549 -0.602855 0.400000 0.285714 +0.897716 1.775837 0.657547 0.758801 -0.246549 0.602855 0.400000 0.714286 +1.081361 1.716166 0.256578 0.929114 -0.301887 0.213568 0.400000 0.571429 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.450000 1.000000 +0.566798 1.883358 0.935026 0.445584 -0.144779 0.883456 0.400000 0.857143 +0.566798 1.883358 -0.866911 0.445584 -0.144779 -0.883456 0.400000 0.142857 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.450000 0.000000 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.350000 1.000000 +0.409180 1.666417 0.935026 0.275386 -0.379036 0.883456 0.300000 0.857143 +0.613699 1.384921 -0.589432 0.468965 -0.645475 -0.602855 0.300000 0.285714 +0.409180 1.666417 -0.866911 0.275386 -0.379036 -0.883456 0.300000 0.142857 +0.727198 1.228703 0.256578 0.574224 -0.790352 0.213568 0.300000 0.571429 +0.727198 1.228703 -0.188464 0.574224 -0.790352 -0.213568 0.300000 0.428571 +0.613699 1.384921 0.657547 0.468965 -0.645475 0.602855 0.300000 0.714286 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.350000 0.000000 +0.154150 1.235604 -0.589432 0.000000 -0.797851 -0.602855 0.200000 0.285714 +0.154150 1.583552 -0.866911 0.000000 -0.468515 -0.883456 0.200000 0.142857 +0.154150 1.042508 0.256578 -0.000000 -0.976928 0.213568 0.200000 0.571429 +0.154150 1.042508 -0.188464 -0.000000 -0.976928 -0.213568 0.200000 0.428571 +0.154150 1.583552 0.935026 0.000000 -0.468515 0.883456 0.200000 0.857143 +0.154150 1.235604 0.657547 0.000000 -0.797851 0.602855 0.200000 0.714286 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.250000 0.000000 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.250000 1.000000 +-0.418898 1.228703 0.256578 -0.574224 -0.790352 0.213568 0.100000 0.571429 +-0.418898 1.228703 -0.188464 -0.574224 -0.790352 -0.213568 0.100000 0.428571 +-0.100881 1.666416 0.935026 -0.275386 -0.379036 0.883456 0.100000 0.857143 +-0.305399 1.384921 0.657547 -0.468965 -0.645475 0.602855 0.100000 0.714286 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.150000 0.000000 +-0.100881 1.666416 -0.866911 -0.275386 -0.379036 -0.883456 0.100000 0.142857 +-0.305399 1.384921 -0.589432 -0.468965 -0.645475 -0.602855 0.100000 0.285714 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.150000 1.000000 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.050000 0.000000 +-0.258498 1.883358 -0.866911 -0.445584 -0.144779 -0.883456 0.000000 0.142857 +-0.773062 1.716166 -0.188464 -0.929114 -0.301887 -0.213568 0.000000 0.428571 +-0.589416 1.775836 -0.589432 -0.758801 -0.246550 -0.602855 0.000000 0.285714 +-0.589416 1.775836 0.657547 -0.758801 -0.246550 0.602855 0.000000 0.714286 +-0.773062 1.716166 0.256578 -0.929114 -0.301887 0.213568 0.000000 0.571429 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.050000 1.000000 +-0.258498 1.883358 0.935026 -0.445584 -0.144779 0.883456 0.000000 0.857143 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.950000 0.000000 +-0.258498 1.883358 -0.866911 -0.445584 -0.144779 -0.883456 1.000000 0.142857 +-0.258498 2.151513 -0.866911 -0.445584 0.144779 -0.883456 0.900000 0.142857 +-0.589416 1.775836 -0.589432 -0.758801 -0.246550 -0.602855 1.000000 0.285714 +-0.773062 1.716166 -0.188464 -0.929114 -0.301887 -0.213568 1.000000 0.428571 +-0.773062 2.318705 -0.188464 -0.929114 0.301887 -0.213568 0.900000 0.428571 +-0.589416 2.259035 -0.589432 -0.758801 0.246549 -0.602855 0.900000 0.285714 +-0.773062 1.716166 0.256578 -0.929114 -0.301887 0.213568 1.000000 0.571429 +-0.589416 1.775836 0.657547 -0.758801 -0.246550 0.602855 1.000000 0.714286 +-0.589416 2.259035 0.657547 -0.758801 0.246549 0.602855 0.900000 0.714286 +-0.773062 2.318705 0.256578 -0.929114 0.301887 0.213568 0.900000 0.571429 +-0.258498 1.883358 0.935026 -0.445584 -0.144779 0.883456 1.000000 0.857143 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.950000 1.000000 +-0.258498 2.151513 0.935026 -0.445584 0.144779 0.883456 0.900000 0.857143 +-0.305399 2.649951 0.657547 -0.468965 0.645475 0.602855 0.800000 0.714286 +-0.418898 2.806169 0.256578 -0.574224 0.790352 0.213568 0.800000 0.571429 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.850000 1.000000 +-0.100881 2.368455 0.935026 -0.275386 0.379036 0.883456 0.800000 0.857143 +-0.305399 2.649951 -0.589432 -0.468965 0.645475 -0.602855 0.800000 0.285714 +-0.100881 2.368455 -0.866911 -0.275386 0.379036 -0.883456 0.800000 0.142857 +-0.418898 2.806169 -0.188464 -0.574224 0.790352 -0.213568 0.800000 0.428571 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.850000 0.000000 +0.154150 2.017436 -0.965943 0.000000 0.000000 -1.000000 0.750000 0.000000 +0.154150 2.017436 1.034057 0.000000 -0.000000 1.000000 0.750000 1.000000 +3 0 1 2 +3 0 3 1 +3 4 5 6 +3 5 7 6 +3 4 8 5 +3 9 7 5 +3 4 9 8 +3 4 7 9 +3 10 11 4 +3 11 7 4 +3 10 12 11 +3 12 13 14 +3 10 13 12 +3 15 16 17 +3 18 16 15 +3 19 20 21 +3 19 22 20 +3 23 19 24 +3 23 25 19 +3 25 26 19 +3 26 22 19 +3 23 27 25 +3 28 22 26 +3 29 27 23 +3 29 30 27 +3 29 28 30 +3 29 22 28 +3 31 32 33 +3 34 35 31 +3 35 32 31 +3 36 32 35 +3 36 37 32 +3 38 37 36 +3 39 37 38 +3 39 40 37 +3 41 40 39 +3 41 42 40 +3 43 42 41 +3 44 43 45 +3 44 42 43 +3 46 47 48 +3 46 48 49 +3 50 51 52 +3 52 51 53 +3 50 52 54 +3 55 52 53 +3 50 54 55 +3 50 55 53 +3 56 50 57 +3 57 50 53 +3 56 57 58 +3 58 59 60 +3 56 58 60 +3 61 62 63 +3 64 61 63 +3 65 66 67 +3 65 67 68 +3 69 70 65 +3 69 65 71 +3 71 65 72 +3 72 65 68 +3 69 71 73 +3 74 72 68 +3 75 69 73 +3 75 73 76 +3 75 76 74 +3 75 74 68 +3 77 78 79 +3 80 77 81 +3 81 77 79 +3 82 81 79 +3 82 79 83 +3 84 82 83 +3 85 84 83 +3 85 83 86 +3 87 85 86 +3 87 86 88 +3 89 87 88 +3 90 91 89 +3 90 89 88 +4 92 93 94 95 +4 93 96 97 94 +4 96 98 99 97 +4 98 100 101 99 +4 100 102 103 101 +4 102 104 105 103 +4 104 106 107 105 +4 106 108 109 107 +4 108 110 111 109 +4 110 112 113 111 +4 112 114 115 113 +4 114 116 117 115 +4 116 118 119 117 +4 118 120 121 119 +4 120 122 123 121 +4 124 125 126 127 +4 125 128 129 126 +4 128 130 131 129 +4 130 132 133 131 +4 132 134 135 133 +4 134 136 137 135 +4 136 138 139 137 +4 140 141 142 143 +4 141 144 145 142 +4 144 146 147 145 +4 146 148 149 147 +4 148 150 151 149 +4 152 153 154 155 +4 153 156 157 154 +4 156 158 159 157 +4 158 160 161 159 +4 162 163 164 165 +4 163 166 167 164 +4 166 168 169 167 +4 168 170 171 169 +4 170 172 173 171 +4 172 174 175 173 +4 174 176 177 175 +4 176 178 179 177 +4 180 181 182 183 +4 181 184 185 182 +4 184 186 187 185 +4 188 189 190 191 +4 189 192 193 190 +4 192 194 195 193 +4 194 196 197 195 +4 198 199 200 201 +4 202 203 204 205 +3 206 207 208 +4 209 198 201 210 +4 199 202 205 200 +4 203 206 208 204 +3 211 209 210 +3 212 210 213 +4 201 200 214 215 +4 205 204 216 217 +3 208 218 219 +4 210 201 215 213 +4 200 205 217 214 +4 204 208 219 216 +4 215 214 220 221 +4 217 216 222 223 +3 219 224 225 +4 213 215 221 226 +4 214 217 223 220 +4 216 219 225 222 +3 227 213 226 +3 225 228 229 +4 226 221 230 231 +4 220 223 232 233 +4 222 225 229 234 +3 235 226 231 +4 221 220 233 230 +4 223 222 234 232 +4 231 230 236 237 +4 233 232 238 239 +4 234 229 240 241 +3 242 231 237 +4 230 233 239 236 +4 232 234 241 238 +3 229 243 240 +4 239 238 244 245 +4 241 240 246 247 +3 248 237 249 +4 236 239 245 250 +4 238 241 247 244 +3 240 251 246 +4 237 236 250 249 +3 252 249 253 +4 250 245 254 255 +4 244 247 256 257 +3 246 258 259 +4 249 250 255 253 +4 245 244 257 254 +4 247 246 259 256 +3 260 261 262 +4 263 264 265 266 +4 267 268 269 270 +3 271 272 273 +4 261 263 266 262 +4 264 267 270 265 +4 268 271 273 269 +4 270 269 274 275 +3 273 276 277 +4 262 266 278 279 +4 265 270 275 280 +4 269 273 277 274 +3 281 262 279 +4 266 265 280 278 +4 279 278 198 209 +4 280 275 202 199 +4 274 277 206 203 +3 282 279 209 +4 278 280 199 198 +4 275 274 203 202 +3 277 283 206 diff --git a/examples/sphere-and-text.txt b/examples/sphere-and-text.txt new file mode 100644 index 0000000..c274b61 --- /dev/null +++ b/examples/sphere-and-text.txt @@ -0,0 +1,60 @@ + + + .................... + ...............................^^^ + ...................................^^^^^^ + ...................~~~^^^^^^^^^^^^^^^^^?^^^^^^^^ + ...................~~~~~~~~^^^^^^^^^^^^^^^?????^^^^^^^^ + ..................~~~~~~~~~~~~~~^^^^^^^^^^^^?????????^^^^^^^^ + ...............~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^????????????^^^^^^^o + ...............~~~~~~~~~~~~~~~~~~~??ooooooooo????????????????oooooo + ...............~~~~~~~~~~~~~~~~???????ooooooobbbb?????????OOOOOooooo + ...............~~~~~~~~~~~~~~~?????????oooooobbbbbbbb??OOOOOOOOOOooooo + ...............~~~~~~~~~~~~~~~??????????ooooobbbbbbbOOOOOOOOOOOOOOoooooo + ..............~~~~~~~~~~~~~~~??????????ooooobbbbOOOOOOOOOOOOOOOOOOOooooo +..............^^^^^^^^^^^^^^^ooooo??????????bOOOOOOOOOOOOOOOOOOOOOOOOooooo +...............^^^^^^^^^^^^^^oooooooooooobbbbOOOOOOOOOOOOO#####OOOOOOoooooo +................^^^^^^^^^^^^^^ooooooobbbbbbbbOOOOOOOOOOOO############OOOOOo +.................^^^^^^^^^^^^^^obbbbbbbbbbbbOOOOOOOOOOOO############OOOOOOO + ................^^^^^^^^^^^?????bbbbbbbbbbOOOOOOOOOOOO############OOOOOOO + ................^^^^^^?????????????bbbbbOOOOOOOOO###############OOOOOOO + .................^??????????????????bbbbbbbbb##################OOOOOO + .............~~~~~~??????????????bbbbbbbbbbbb################OOOOOO + .......~~~~~~~~~~~~~~??????????bbbbbbbbbbbbb#############OOOOOOOO + .......~~~~~~~~~~~~~~~~??????bbbbbbbbbbbbbb#########OOOOOOOOOOO + ........~~~~~~~~~~~~~~~~?bbbbbbbbbbbbbbbbb###OOOOOOOOOOOOOOO + ........~~~~~~~~~~~~~????????????ooooooOOOOOOOOOOOOOO??? + ........~~~~~~~~??????????????????ooOOOOOOOOOO??? + ........~~~?????????????????????OOOOO???? + ......^^^^^^^^^^^???????????bb??? + ^^^^^^^^^^^^^^^^^^^^^^^?? + + + bbb + .bbb + .bbbb + .bbb .bbbb + ..bbb .bbb + bbbbbb ..bbbb bb.bb ..bbb + ...bb?...bbbbb bbbbbbb b? ....bb .bbbb + . ...bbb bbb^^.bbb bbbbbbbbb!!!!! .bbb + bbbbb bbb ..bbb ..bbbb! bb ..bbb + ..bbbbbb .bbb ..bbbb ....bbbbbbbbb? .bb! + .-----bbbbb ....bbb ..bbb bbbb ....???? + ..bbb .....bbbbbbbbb ... + bbbb .bb ...!!!!!! + ...bbbbbb + ~~~~~~ + + + + + + + + + + + + + |