From 10716020afdf42fb83a69188fc3d72042e5ad00a Mon Sep 17 00:00:00 2001
From: Rnhmjoj <micheleguerinirocco@me.com>
Date: Tue, 20 May 2014 17:02:35 +0200
Subject: [PATCH] Add main files

---
 LICENSE             |  21 ---
 README.md           |  13 +-
 screenshot.png      | Bin 0 -> 47182 bytes
 terrain.py          | 148 +++++++++++++++++++
 trackball_camera.py | 338 ++++++++++++++++++++++++++++++++++++++++++++
 5 files changed, 496 insertions(+), 24 deletions(-)
 delete mode 100644 LICENSE
 create mode 100644 screenshot.png
 create mode 100644 terrain.py
 create mode 100644 trackball_camera.py

diff --git a/LICENSE b/LICENSE
deleted file mode 100644
index f8fa6a8..0000000
--- a/LICENSE
+++ /dev/null
@@ -1,21 +0,0 @@
-The MIT License (MIT)
-
-Copyright (c) 2014 Michele Guerini Rocco
-
-Permission is hereby granted, free of charge, to any person obtaining a copy
-of this software and associated documentation files (the "Software"), to deal
-in the Software without restriction, including without limitation the rights
-to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-copies of the Software, and to permit persons to whom the Software is
-furnished to do so, subject to the following conditions:
-
-The above copyright notice and this permission notice shall be included in all
-copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
-SOFTWARE.
\ No newline at end of file
diff --git a/README.md b/README.md
index beaf156..f857429 100644
--- a/README.md
+++ b/README.md
@@ -1,4 +1,11 @@
-terrain
-=======
+# Terrain
 
-Simple terrain generator
+## Simple terrain generator
+![Screenshot](screenshot.png)
+## Info
+A simple application which uses the diamond square algorithm to generate a terrain and renders it in OpenGL.
+
+### License
+Dual licensed under the MIT and GPL licenses:  
+http://www.opensource.org/licenses/mit-license.php  
+http://www.gnu.org/licenses/gpl.html
diff --git a/screenshot.png b/screenshot.png
new file mode 100644
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diff --git a/terrain.py b/terrain.py
new file mode 100644
index 0000000..cb13e73
--- /dev/null
+++ b/terrain.py
@@ -0,0 +1,148 @@
+import random
+import numpy
+import pyglet
+from pyglet.gl import *
+from trackball_camera import TrackballCamera
+
+
+class Terrain():
+    def __init__(self, details):
+        self.size = 2 ** details + 1
+        self.map = numpy.zeros((self.size, self.size))
+
+    def _square(self, x, y, size, offset):
+        average = sum([
+            self.map[x - size][y - size],
+            self.map[x + size][y - size],
+            self.map[x + size][y + size],
+            self.map[x - size][y + size]]) / 4
+        self.map[x][y] = average + offset
+
+    def _diamond(self, x, y, size, offset):
+        average = sum([
+            self.map[x][y - size],
+            self.map[x + size][y],
+            self.map[x][y + size],
+            self.map[x - size][y]]) / 4
+        self.map[x][y] = average + offset
+
+    def generate(self, high):
+        i, half = self.size - 1, (self.size - 1) / 2
+        scale = high * self.size
+
+        while i > 1:
+            for y in numpy.arange(half, self.size - 1, i):
+                for x in numpy.arange(half, self.size - 1, i):
+                    self._square(x, y, half, scale / 2 * random.random())
+            for y in numpy.arange(0, self.size - 1, half):
+                for x in numpy.arange((y + half) % i, self.size - 1, i):
+                    self._diamond(x, y, half, scale / 2 * random.random())
+            i /= 2
+            half = i / 2
+            scale = high * half * 2
+
+
+class Window(pyglet.window.Window):
+    def __init__(self, *args, **kwargs):
+        self.terrain = None
+        self.camera = kwargs['camera']
+        del kwargs['camera']
+        super().__init__(*args, **kwargs)
+
+        # Initialize OpenGL
+        glEnable(GL_DEPTH_TEST)
+        glDisable(GL_CULL_FACE)
+
+    def on_mouse_drag(self, x, y, dx, dy, buttons, modifiers):
+        """Move camera/zoom on mouse drag"""
+        if buttons & pyglet.window.mouse.LEFT:
+            self.camera.mouse_roll(
+                self._norm(x, self.width),
+                self._norm(y, self.height))
+        elif buttons & pyglet.window.mouse.RIGHT:
+            self.camera.mouse_zoom(
+                self._norm(x * 2, self.width),
+                self._norm(y * 2, self.height))
+
+    def on_mouse_press(self, x, y, button, modifiers):
+        """Move camera/zoom on mouse drag"""
+        if button == pyglet.window.mouse.LEFT:
+            self.camera.mouse_roll(
+                self._norm(x, self.width),
+                self._norm(y, self.height),
+                False)
+        elif button == pyglet.window.mouse.RIGHT:
+            self.camera.mouse_zoom(
+                self._norm(x * 2, self.width),
+                self._norm(y * 2, self.height),
+                False)
+
+    def on_resize(self, width, height):
+        """Adjust drawing after window is resized"""
+        self.width = width
+        self.height = height
+        glViewport(0, 0, self.width, self.height)
+        self.on_show()
+
+    def on_show(self):
+        """Set OpenGl config"""
+        glMatrixMode(GL_PROJECTION)
+        glLoadIdentity()
+        gluPerspective(40, self.width / self.height, 1, 400)
+        self.camera.update_modelview()
+
+    def on_draw(self):
+        """Draw the current frame"""
+        if self.terrain is None:
+            return
+        self.clear()
+        map, size = self.terrain.map, self.terrain.size
+
+        glPushMatrix()
+        glTranslatef(-size / 2, 0, -size / 2)
+
+        # Draw terrain
+        for x in numpy.arange(size - 1):
+            for y in numpy.arange(size - 1):
+                glBegin(GL_TRIANGLE_STRIP)
+                glColor3f(map[x][y] / 20, map[x][y] / 20, map[x][y] / 20)
+                glVertex3f(x, map[x][y], y)
+                glVertex3f(x + 1, map[x + 1][y], y)
+                glVertex3f(x, map[x][y + 1], y + 1)
+                glVertex3f(x + 1, map[x + 1][y + 1], y + 1)
+                glEnd()
+        glPopMatrix()
+
+        # Draw axis
+        glBegin(GL_LINES)
+        glColor3f(1, 0, 0)
+        glVertex3f(-size, 0, 0)
+        glVertex3f(size, 0, 0)
+        glColor3f(0, 1, 0)
+        glVertex3f(0, -size, 0)
+        glVertex3f(0, size, 0)
+        glColor3f(0, 0, 1)
+        glVertex3f(0, 0, -size)
+        glVertex3f(0, 0, size)
+        glEnd()
+
+    def _norm(self, x, max_x):
+        """given x within [0,max_x], scale to a range [-1,1]"""
+        return (2 * x - float(max_x)) / float(max_x)
+
+    def draw(self, terrain):
+        """Render the height map"""
+        self.terrain = terrain
+
+
+def main():
+    terrain = Terrain(5)
+    camera = TrackballCamera(150)
+    window = Window(caption="Terrain", resizable=True,
+            width=800, height=600, camera=camera)
+    terrain.generate(0.7)
+    window.draw(terrain)
+    pyglet.app.run()
+
+if __name__ == '__main__':
+    main()
diff --git a/trackball_camera.py b/trackball_camera.py
new file mode 100644
index 0000000..c09068a
--- /dev/null
+++ b/trackball_camera.py
@@ -0,0 +1,338 @@
+"""trackball_camera.py - An OpenGL Trackball Camera Class for Pyglet
+
+by Roger Allen, July 2008
+roger@rogerandwendy.com
+
+A class for simple-minded 3d example apps.
+
+Usage:
+
+Initialize with a radius from the center/focus point:
+
+   tbcam = TrackballCamera(5.0)
+
+After adjusting your projection matrix, set the modelview matrix.
+
+   tbcam.update_modelview()
+
+On each primary mouse click, scale the x & y to [-1,1] and call:
+
+   tbcam.mouse_roll(x,y,False)
+
+On each primary mouse drag, scale the x & y to [-1,1] and call:
+
+   tbcam.mouse_roll(x,y)
+
+Mouse movements adjust the modelview projection matrix directly.
+
+"""
+
+__version__ = "1.0"
+
+# Code derived from the GLUT trackball.c, but now quite different and
+# customized for pyglet.
+#
+# I simply wanted an easy-to-use trackball camera for quick-n-dirty
+# opengl programs that I'd like to write.  Finding none, I grabbed
+# the trackball.c code & started hacking.
+#
+# Originally implemented by Gavin Bell, lots of ideas from Thant Tessman
+# and the August '88 issue of Siggraph's "Computer Graphics," pp. 121-129.
+# and David M. Ciemiewicz, Mark Grossman, Henry Moreton, and Paul Haeberli
+#
+# Note: See the following for more information on quaternions:
+# 
+# - Shoemake, K., Animating rotation with quaternion curves, Computer
+#   Graphics 19, No 3 (Proc. SIGGRAPH'85), 245-254, 1985.
+# - Pletinckx, D., Quaternion calculus as a basic tool in computer
+#   graphics, The Visual Computer 5, 2-13, 1989.
+#
+# Gavin Bell's code had this copyright notice:
+# (c) Copyright 1993, 1994, Silicon Graphics, Inc.
+# ALL RIGHTS RESERVED
+# Permission to use, copy, modify, and distribute this software for
+# any purpose and without fee is hereby granted, provided that the above
+# copyright notice appear in all copies and that both the copyright notice
+# and this permission notice appear in supporting documentation, and that
+# the name of Silicon Graphics, Inc. not be used in advertising
+# or publicity pertaining to distribution of the software without specific,
+# written prior permission.
+# 
+# THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU "AS-IS"
+# AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE,
+# INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR
+# FITNESS FOR A PARTICULAR PURPOSE.  IN NO EVENT SHALL SILICON
+# GRAPHICS, INC.  BE LIABLE TO YOU OR ANYONE ELSE FOR ANY DIRECT,
+# SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY
+# KIND, OR ANY DAMAGES WHATSOEVER, INCLUDING WITHOUT LIMITATION,
+# LOSS OF PROFIT, LOSS OF USE, SAVINGS OR REVENUE, OR THE CLAIMS OF
+# THIRD PARTIES, WHETHER OR NOT SILICON GRAPHICS, INC.  HAS BEEN
+# ADVISED OF THE POSSIBILITY OF SUCH LOSS, HOWEVER CAUSED AND ON
+# ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE
+# POSSESSION, USE OR PERFORMANCE OF THIS SOFTWARE.
+# 
+# US Government Users Restricted Rights
+# Use, duplication, or disclosure by the Government is subject to
+# restrictions set forth in FAR 52.227.19(c)(2) or subparagraph
+# (c)(1)(ii) of the Rights in Technical Data and Computer Software
+# clause at DFARS 252.227-7013 and/or in similar or successor
+# clauses in the FAR or the DOD or NASA FAR Supplement.
+# Unpublished-- rights reserved under the copyright laws of the
+# United States.  Contractor/manufacturer is Silicon Graphics,
+# Inc., 2011 N.  Shoreline Blvd., Mountain View, CA 94039-7311.
+                                
+import math
+import copy
+from pyglet.gl import *
+
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+# a little vector library that is misused in odd ways below.
+def v3add(src1, src2):
+    return [ src1[0] + src2[0],
+             src1[1] + src2[1],
+             src1[2] + src2[2] ]
+
+def v3sub(src1, src2):
+    return [ src1[0] - src2[0],
+             src1[1] - src2[1],
+             src1[2] - src2[2] ]
+
+def v3scale(v, scale):
+    return [ v[0] * scale,
+             v[1] * scale,
+             v[2] * scale ]
+
+def v3dot(v1, v2):
+    return v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2]
+
+def v3cross(v1, v2):
+    return [ (v1[1] * v2[2]) - (v1[2] * v2[1]),
+             (v1[2] * v2[0]) - (v1[0] * v2[2]),
+             (v1[0] * v2[1]) - (v1[1] * v2[0]) ]
+
+def v3length(v):
+    return math.sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2])
+
+def v3normalize(v):
+    try:
+        tmp = v3scale(v,1.0/v3length(v))
+        return tmp
+    except ZeroDivisionError:
+        return v
+
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+# Some quaternion routines
+def q_add(q1, q2):
+    """Given two quaternions, add them together to get a third quaternion.
+    Adding quaternions to get a compound rotation is analagous to adding
+    translations to get a compound translation.  When incrementally
+    adding rotations, the first argument here should be the new rotation.
+    """
+    t1 = v3scale(q1,q2[3])
+    t2 = v3scale(q2,q1[3])
+    t3 = v3cross(q2,q1)
+    tf = v3add(t1,t2)
+    tf = v3add(t3,tf)
+    tf.append( q1[3] * q2[3] - v3dot(q1,q2) )
+    return tf
+
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+def q_from_axis_angle(a, phi):
+    # a is a 3-vector, q is a 4-vector
+    """Computes a quaternion based on an axis (defined by the given vector)
+    and an angle about which to rotate.  The angle is expressed in radians.
+    """
+    q = v3normalize(a)
+    q = v3scale(q, math.sin(phi/2.0))
+    q.append(math.cos(phi/2.0))
+    return q
+
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+def q_normalize(q):
+    """Return a normalized quaternion"""
+    mag = (q[0]*q[0] + q[1]*q[1] + q[2]*q[2] + q[3]*q[3])
+    if mag != 0:
+        for i in range(4): 
+            q[i] /= mag;
+    return q
+
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+def q_matrix(q):
+    """return the rotation matrix based on q"""
+    m = [0.0]*16
+    m[0*4+0] = 1.0 - 2.0 * (q[1] * q[1] + q[2] * q[2])
+    m[0*4+1] = 2.0 * (q[0] * q[1] - q[2] * q[3])
+    m[0*4+2] = 2.0 * (q[2] * q[0] + q[1] * q[3])
+    m[0*4+3] = 0.0
+
+    m[1*4+0] = 2.0 * (q[0] * q[1] + q[2] * q[3])
+    m[1*4+1] = 1.0 - 2.0 * (q[2] * q[2] + q[0] * q[0])
+    m[1*4+2] = 2.0 * (q[1] * q[2] - q[0] * q[3])
+    m[1*4+3] = 0.0
+
+    m[2*4+0] = 2.0 * (q[2] * q[0] - q[1] * q[3])
+    m[2*4+1] = 2.0 * (q[1] * q[2] + q[0] * q[3])
+    m[2*4+2] = 1.0 - 2.0 * (q[1] * q[1] + q[0] * q[0])
+    m[2*4+3] = 0.0
+
+    m[3*4+0] = 0.0
+    m[3*4+1] = 0.0
+    m[3*4+2] = 0.0
+    m[3*4+3] = 1.0
+    return m
+
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+def project_z(r, x, y):
+    """Project an x,y pair onto a sphere of radius r OR a hyperbolic sheet
+    if we are away from the center of the sphere.
+    """
+    d = math.sqrt(x*x + y*y)
+    if (d < r * 0.70710678118654752440):    # Inside sphere
+        z = math.sqrt(r*r - d*d)
+    else:                                   # On hyperbola
+        t = r / 1.41421356237309504880
+        z = t*t / d
+    return z
+
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+#
+# Trackball Camera Class
+#
+class TrackballCamera:
+    # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    def __init__(self, radius=1.0):
+        """ initialize the camera, giving a radius from the focal point for
+        the camera eye.  Update focal point & up via the update_modelview call.
+        """
+        # the quaternion storing the rotation
+        self.rot_quat = [0,0,0,1]
+        # the last mouse update
+        self.last_x = None
+        self.last_y = None
+        # camera vars
+        self.cam_eye   = [0.,0.,radius]
+        self.cam_focus = [0.,0.,0.]
+        self.cam_up    = [0.,1.,0.]
+        # in add_quat routine, renormalize "sometimes"
+        self.RENORMCOUNT = 97
+        self.count = 0
+        # Trackballsize should really be based on the distance from the center of
+        # rotation to the point on the object underneath the mouse.  That
+        # point would then track the mouse as closely as possible.  This is a
+        # simple example, though, so that is left as an Exercise for the
+        # Programmer.
+        self.TRACKBALLSIZE = 0.8
+
+    # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    def mouse_roll(self, norm_mouse_x, norm_mouse_y, dragging=True):
+        """When you click or drag the primary mouse button, scale the mouse
+        x & y to the range [-1.0,1.0] and call this routine to roll the trackball
+        and update the modelview matrix.
+        
+        The initial click should set dragging to False.
+        """
+        if dragging:
+            norm_mouse_quat = self._rotate(norm_mouse_x, norm_mouse_y)
+            self.rot_quat  = q_add(norm_mouse_quat,self.rot_quat)
+            self.count += 1
+            if (self.count > self.RENORMCOUNT):
+                self.rot_quat = q_normalize(self.rot_quat)
+                self.count = 0
+            self.update_modelview()
+        self.last_x = norm_mouse_x
+        self.last_y = norm_mouse_y
+
+    # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    def mouse_zoom(self, norm_mouse_x, norm_mouse_y, dragging=True):
+        """When you click or drag a secondary mouse button, scale the mouse
+        x & y to the range [-1.0,1.0] and call this routine to change the
+        trackball's camera radius and update the modelview matrix.
+        
+        The initial click should set dragging to False.        
+        """
+        if self.last_x:
+            dx = norm_mouse_x - self.last_x
+            dy = norm_mouse_y - self.last_y
+            norm_mouse_r_delta = 20.0*math.sqrt(dx*dx+dy*dy)
+            if dy > 0.0:
+                norm_mouse_r_delta = -norm_mouse_r_delta
+            if dragging:
+                self.cam_eye[2] = self.cam_eye[2] + norm_mouse_r_delta
+                if self.cam_eye[2] < 1.0:
+                    self.cam_eye[2] == 1.0
+                self.update_modelview()
+        self.last_x = norm_mouse_x
+        self.last_y = norm_mouse_y
+
+    # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    def update_modelview(self,cam_radius=None,cam_focus=None,cam_up=None):
+        """Given a radius for the trackball camera, a focus-point 3-vector,
+        another 3-vector the points 'up' combined with the current
+        orientation of the trackball, update the GL_MODELVIEW matrix.
+        """
+        if cam_radius:
+            self.cam_eye[2] = cam_radius
+        if cam_focus:
+            self.cam_focus = cam_focus
+        if cam_up:
+            self.cam_up = cam_up
+        glMatrixMode(GL_MODELVIEW)
+        glLoadIdentity()
+        gluLookAt(
+            self.cam_eye[0],self.cam_eye[1],self.cam_eye[2],
+            self.cam_focus[0],self.cam_focus[1],self.cam_focus[2],
+            self.cam_up[0],self.cam_up[1],self.cam_up[2]
+            )
+        # rotate this view by the current orientation
+        m = self._matrix()
+        mm = (GLfloat * len(m))(*m)  # FIXME there is prob a better way...
+        glMultMatrixf(mm)
+        
+    # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    def _matrix(self):
+        """return the rotation matrix for the trackball"""
+        return q_matrix(self.rot_quat)
+
+    # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    def _rotate(self, norm_mouse_x, norm_mouse_y): 
+        """Pass the x and y coordinates of the last and current positions of
+        the mouse, scaled so they are in the range [-1.0,1.0].
+        
+        Simulate a track-ball.  Project the points onto the virtual
+        trackball, then figure out the axis of rotation, which is the cross
+        product of LAST NEW and O LAST (O is the center of the ball, 0,0,0)
+        Note:  This is a deformed trackball-- is a trackball in the center,
+        but is deformed into a hyperbolic sheet of rotation away from the
+        center.  This particular function was chosen after trying out
+        several variations.
+        """
+        # handle special case
+        if (self.last_x == norm_mouse_x and self.last_y == norm_mouse_y):
+            # Zero rotation 
+            return [ 0.0, 0.0, 0.0, 1.0]
+
+        #
+        # First, figure out z-coordinates for projection of P1 and P2 to
+        # deformed sphere
+        #
+        last = [self.last_x, self.last_y, project_z(self.TRACKBALLSIZE,self.last_x,self.last_y)]
+        new  = [norm_mouse_x, norm_mouse_y, project_z(self.TRACKBALLSIZE,norm_mouse_x,norm_mouse_y)]
+
+        #
+        # Now, we want the cross product of LAST and NEW
+        # aka the axis of rotation
+        #
+        a = v3cross(new,last)
+        
+        #
+        # Figure out how much to rotate around that axis (phi)
+        #
+        d = v3sub(last,new)
+        t = v3length(d) / (2.0*self.TRACKBALLSIZE)
+        # Avoid problems with out-of-control values...
+        if (t > 1.0): t = 1.0
+        if (t < -1.0): t = -1.0
+        phi = 2.0 * math.asin(t)
+
+        return q_from_axis_angle(a,phi)
+