from __future__ import print_function import atexit import math import os import random import re import shlex import subprocess import sys import tempfile import time from math import acos, atan2, cos, pi, sqrt from subprocess import PIPE, Popen, call, check_call import pexpect from . rotmat import Matrix3, Vector3 if (sys.version_info[0] >= 3): ENCODING = 'ascii' else: ENCODING = None RADIUS_OF_EARTH = 6378100.0 # in meters def m2ft(x): """Meters to feet.""" return float(x) / 0.3048 def ft2m(x): """Feet to meters.""" return float(x) * 0.3048 def kt2mps(x): return x * 0.514444444 def mps2kt(x): return x / 0.514444444 def topdir(): """Return top of git tree where autotest is running from.""" d = os.path.dirname(os.path.realpath(__file__)) assert(os.path.basename(d) == 'pysim') d = os.path.dirname(d) assert(os.path.basename(d) == 'autotest') d = os.path.dirname(d) assert(os.path.basename(d) == 'Tools') d = os.path.dirname(d) return d def reltopdir(path): """Return a path relative to topdir().""" return os.path.normpath(os.path.join(topdir(), path)) def run_cmd(cmd, directory=".", show=True, output=False, checkfail=True): """Run a shell command.""" shell = False if not isinstance(cmd, list): cmd = [cmd] shell = True if show: print("Running: (%s) in (%s)" % (cmd_as_shell(cmd), directory,)) if output: return Popen(cmd, shell=shell, stdout=PIPE, cwd=directory).communicate()[0] elif checkfail: return check_call(cmd, shell=shell, cwd=directory) else: return call(cmd, shell=shell, cwd=directory) def rmfile(path): """Remove a file if it exists.""" try: os.unlink(path) except Exception: pass def deltree(path): """Delete a tree of files.""" run_cmd('rm -rf %s' % path) def relwaf(): return "./modules/waf/waf-light" def waf_configure(board, j=None, debug=False, extra_args=[]): cmd_configure = [relwaf(), "configure", "--board", board] if debug: cmd_configure.append('--debug') if j is not None: cmd_configure.extend(['-j', str(j)]) pieces = [shlex.split(x) for x in extra_args] for piece in pieces: cmd_configure.extend(piece) run_cmd(cmd_configure, directory=topdir(), checkfail=True) def waf_clean(): run_cmd([relwaf(), "clean"], directory=topdir(), checkfail=True) def build_SITL(build_target, j=None, debug=False, board='sitl', clean=True, configure=True, extra_configure_args=[]): """Build desktop SITL.""" # first configure if configure: waf_configure(board, j=j, debug=debug, extra_args=extra_configure_args) # then clean if clean: waf_clean() # then build cmd_make = [relwaf(), "build", "--target", build_target] if j is not None: cmd_make.extend(['-j', str(j)]) run_cmd(cmd_make, directory=topdir(), checkfail=True, show=True) return True def build_examples(board, j=None, debug=False, clean=False): # first configure waf_configure(board, j=j, debug=debug) # then clean if clean: waf_clean() # then build cmd_make = [relwaf(), "examples"] run_cmd(cmd_make, directory=topdir(), checkfail=True, show=True) return True def build_tests(board, j=None, debug=False, clean=False): # first configure waf_configure(board, j=j, debug=debug) # then clean if clean: waf_clean() # then build run_cmd([relwaf(), "tests"], directory=topdir(), checkfail=True, show=True) return True # list of pexpect children to close on exit close_list = [] def pexpect_autoclose(p): """Mark for autoclosing.""" global close_list close_list.append(p) def pexpect_close(p): """Close a pexpect child.""" global close_list try: p.close() except Exception: pass try: p.close(force=True) except Exception: pass if p in close_list: close_list.remove(p) def pexpect_close_all(): """Close all pexpect children.""" global close_list for p in close_list[:]: pexpect_close(p) def pexpect_drain(p): """Drain any pending input.""" import pexpect try: p.read_nonblocking(1000, timeout=0) except Exception: pass def cmd_as_shell(cmd): return (" ".join(['"%s"' % x for x in cmd])) def make_safe_filename(text): """Return a version of text safe for use as a filename.""" r = re.compile("([^a-zA-Z0-9_.+-])") text.replace('/', '-') filename = r.sub(lambda m: "%" + str(hex(ord(str(m.group(1))))).upper(), text) return filename def valgrind_log_filepath(binary, model): return make_safe_filename('%s-%s-valgrind.log' % (os.path.basename(binary), model,)) def kill_screen_gdb(): cmd = ["screen", "-X", "-S", "ardupilot-gdb", "quit"] subprocess.Popen(cmd) def start_SITL(binary, valgrind=False, gdb=False, wipe=False, synthetic_clock=True, home=None, model=None, speedup=1, defaults_file=None, unhide_parameters=False, gdbserver=False, breakpoints=[], vicon=False): """Launch a SITL instance.""" cmd = [] if valgrind and os.path.exists('/usr/bin/valgrind'): # we specify a prefix for vgdb-pipe because on Vagrant virtual # machines the pipes are created on the mountpoint for the # shared directory with the host machine. mmap's, # unsurprisingly, fail on files created on that mountpoint. vgdb_prefix = os.path.join(tempfile.gettempdir(), "vgdb-pipe") log_file = valgrind_log_filepath(binary=binary, model=model) cmd.extend([ 'valgrind', # adding this option allows valgrind to cope with the overload # of operator new "--soname-synonyms=somalloc=nouserintercepts", '--vgdb-prefix=%s' % vgdb_prefix, '-q', '--log-file=%s' % log_file]) if gdbserver: cmd.extend(['gdbserver', 'localhost:3333']) if gdb: # attach gdb to the gdbserver: f = open("/tmp/x.gdb", "w") f.write("target extended-remote localhost:3333\nc\n") for breakpoint in breakpoints: f.write("b %s\n" % (breakpoint,)) f.close() run_cmd('screen -d -m -S ardupilot-gdbserver ' 'bash -c "gdb -x /tmp/x.gdb"') elif gdb: f = open("/tmp/x.gdb", "w") for breakpoint in breakpoints: f.write("b %s\n" % (breakpoint,)) f.write("r\n") f.close() if os.environ.get('DISPLAY'): cmd.extend(['xterm', '-e', 'gdb', '-x', '/tmp/x.gdb', '--args']) else: cmd.extend(['screen', '-L', '-Logfile', 'gdb.log', '-d', '-m', '-S', 'ardupilot-gdb', 'gdb', '-x', '/tmp/x.gdb', binary, '--args']) cmd.append(binary) if wipe: cmd.append('-w') if synthetic_clock: cmd.append('-S') if home is not None: cmd.extend(['--home', home]) if model is not None: cmd.extend(['--model', model]) if speedup != 1: cmd.extend(['--speedup', str(speedup)]) if defaults_file is not None: cmd.extend(['--defaults', defaults_file]) if unhide_parameters: cmd.extend(['--unhide-groups']) if vicon: cmd.extend(["--uartF=sim:vicon:"]) if gdb and not os.getenv('DISPLAY'): p = subprocess.Popen(cmd) atexit.register(kill_screen_gdb) # we are expected to return a pexpect wrapped around the # stdout of the ArduPilot binary. Not going to happen until # AP gets a redirect-stdout-to-filehandle option. So, in the # meantime, return a dummy: return pexpect.spawn("true", ["true"], logfile=sys.stdout, encoding=ENCODING, timeout=5) print("Running: %s" % cmd_as_shell(cmd)) first = cmd[0] rest = cmd[1:] child = pexpect.spawn(first, rest, logfile=sys.stdout, encoding=ENCODING, timeout=5) pexpect_autoclose(child) # give time for parameters to properly setup time.sleep(3) if gdb: # if we run GDB we do so in an xterm. "Waiting for # connection" is never going to appear on xterm's output. # ... so let's give it another magic second. time.sleep(1) # TODO: have a SITL-compiled ardupilot able to have its # console on an output fd. else: child.expect('Waiting for connection', timeout=300) return child def start_MAVProxy_SITL(atype, aircraft=None, setup=False, master='tcp:127.0.0.1:5760', options=[], logfile=sys.stdout): """Launch mavproxy connected to a SITL instance.""" import pexpect global close_list MAVPROXY = os.getenv('MAVPROXY_CMD', 'mavproxy.py') cmd = MAVPROXY + ' --master=%s --out=127.0.0.1:14550' % master if setup: cmd += ' --setup' if aircraft is None: aircraft = 'test.%s' % atype cmd += ' --aircraft=%s' % aircraft cmd += ' ' + ' '.join(options) ret = pexpect.spawn(cmd, logfile=logfile, encoding=ENCODING, timeout=60) ret.delaybeforesend = 0 pexpect_autoclose(ret) return ret def expect_setup_callback(e, callback): """Setup a callback that is called once a second while waiting for patterns.""" import pexpect def _expect_callback(pattern, timeout=e.timeout): tstart = time.time() while time.time() < tstart + timeout: try: ret = e.expect_saved(pattern, timeout=1) return ret except pexpect.TIMEOUT: e.expect_user_callback(e) pass print("Timed out looking for %s" % pattern) raise pexpect.TIMEOUT(timeout) e.expect_user_callback = callback e.expect_saved = e.expect e.expect = _expect_callback def mkdir_p(directory): """Like mkdir -p .""" if not directory: return if directory.endswith("/"): mkdir_p(directory[:-1]) return if os.path.isdir(directory): return mkdir_p(os.path.dirname(directory)) os.mkdir(directory) def loadfile(fname): """Load a file as a string.""" f = open(fname, mode='r') r = f.read() f.close() return r def lock_file(fname): """Lock a file.""" import fcntl f = open(fname, mode='w') try: fcntl.lockf(f, fcntl.LOCK_EX | fcntl.LOCK_NB) except Exception: return None return f def check_parent(parent_pid=None): """Check our parent process is still alive.""" if parent_pid is None: try: parent_pid = os.getppid() except Exception: pass if parent_pid is None: return try: os.kill(parent_pid, 0) except Exception: print("Parent had finished - exiting") sys.exit(1) def EarthRatesToBodyRates(dcm, earth_rates): """Convert the angular velocities from earth frame to body frame. Thanks to James Goppert for the formula all inputs and outputs are in radians returns a gyro vector in body frame, in rad/s . """ from math import sin, cos (phi, theta, psi) = dcm.to_euler() phiDot = earth_rates.x thetaDot = earth_rates.y psiDot = earth_rates.z p = phiDot - psiDot * sin(theta) q = cos(phi) * thetaDot + sin(phi) * psiDot * cos(theta) r = cos(phi) * psiDot * cos(theta) - sin(phi) * thetaDot return Vector3(p, q, r) def BodyRatesToEarthRates(dcm, gyro): """Convert the angular velocities from body frame to earth frame. all inputs and outputs are in radians/s returns a earth rate vector. """ from math import sin, cos, tan, fabs p = gyro.x q = gyro.y r = gyro.z (phi, theta, psi) = dcm.to_euler() phiDot = p + tan(theta) * (q * sin(phi) + r * cos(phi)) thetaDot = q * cos(phi) - r * sin(phi) if fabs(cos(theta)) < 1.0e-20: theta += 1.0e-10 psiDot = (q * sin(phi) + r * cos(phi)) / cos(theta) return Vector3(phiDot, thetaDot, psiDot) def gps_newpos(lat, lon, bearing, distance): """Extrapolate latitude/longitude given a heading and distance thanks to http://www.movable-type.co.uk/scripts/latlong.html . """ from math import sin, asin, cos, atan2, radians, degrees lat1 = radians(lat) lon1 = radians(lon) brng = radians(bearing) dr = distance / RADIUS_OF_EARTH lat2 = asin(sin(lat1) * cos(dr) + cos(lat1) * sin(dr) * cos(brng)) lon2 = lon1 + atan2(sin(brng) * sin(dr) * cos(lat1), cos(dr) - sin(lat1) * sin(lat2)) return (degrees(lat2), degrees(lon2)) def gps_distance(lat1, lon1, lat2, lon2): """Return distance between two points in meters, coordinates are in degrees thanks to http://www.movable-type.co.uk/scripts/latlong.html .""" lat1 = math.radians(lat1) lat2 = math.radians(lat2) lon1 = math.radians(lon1) lon2 = math.radians(lon2) dLat = lat2 - lat1 dLon = lon2 - lon1 a = math.sin(0.5 * dLat)**2 + math.sin(0.5 * dLon)**2 * math.cos(lat1) * math.cos(lat2) c = 2.0 * math.atan2(math.sqrt(a), math.sqrt(1.0 - a)) return RADIUS_OF_EARTH * c def gps_bearing(lat1, lon1, lat2, lon2): """Return bearing between two points in degrees, in range 0-360 thanks to http://www.movable-type.co.uk/scripts/latlong.html .""" lat1 = math.radians(lat1) lat2 = math.radians(lat2) lon1 = math.radians(lon1) lon2 = math.radians(lon2) dLon = lon2 - lon1 y = math.sin(dLon) * math.cos(lat2) x = math.cos(lat1) * math.sin(lat2) - math.sin(lat1) * math.cos(lat2) * math.cos(dLon) bearing = math.degrees(math.atan2(y, x)) if bearing < 0: bearing += 360.0 return bearing class Wind(object): """A wind generation object.""" def __init__(self, windstring, cross_section=0.1): a = windstring.split(',') if len(a) != 3: raise RuntimeError("Expected wind in speed,direction,turbulance form, not %s" % windstring) self.speed = float(a[0]) # m/s self.direction = float(a[1]) # direction the wind is going in self.turbulance = float(a[2]) # turbulance factor (standard deviation) # the cross-section of the aircraft to wind. This is multiplied by the # difference in the wind and the velocity of the aircraft to give the acceleration self.cross_section = cross_section # the time constant for the turbulance - the average period of the # changes over time self.turbulance_time_constant = 5.0 # wind time record self.tlast = time.time() # initial turbulance multiplier self.turbulance_mul = 1.0 def current(self, deltat=None): """Return current wind speed and direction as a tuple speed is in m/s, direction in degrees.""" if deltat is None: tnow = time.time() deltat = tnow - self.tlast self.tlast = tnow # update turbulance random walk w_delta = math.sqrt(deltat) * (1.0 - random.gauss(1.0, self.turbulance)) w_delta -= (self.turbulance_mul - 1.0) * (deltat / self.turbulance_time_constant) self.turbulance_mul += w_delta speed = self.speed * math.fabs(self.turbulance_mul) return (speed, self.direction) # Calculate drag. def drag(self, velocity, deltat=None): """Return current wind force in Earth frame. The velocity parameter is a Vector3 of the current velocity of the aircraft in earth frame, m/s .""" from math import radians # (m/s, degrees) : wind vector as a magnitude and angle. (speed, direction) = self.current(deltat=deltat) # speed = self.speed # direction = self.direction # Get the wind vector. w = toVec(speed, radians(direction)) obj_speed = velocity.length() # Compute the angle between the object vector and wind vector by taking # the dot product and dividing by the magnitudes. d = w.length() * obj_speed if d == 0: alpha = 0 else: alpha = acos((w * velocity) / d) # Get the relative wind speed and angle from the object. Note that the # relative wind speed includes the velocity of the object; i.e., there # is a headwind equivalent to the object's speed even if there is no # absolute wind. (rel_speed, beta) = apparent_wind(speed, obj_speed, alpha) # Return the vector of the relative wind, relative to the coordinate # system. relWindVec = toVec(rel_speed, beta + atan2(velocity.y, velocity.x)) # Combine them to get the acceleration vector. return Vector3(acc(relWindVec.x, drag_force(self, relWindVec.x)), acc(relWindVec.y, drag_force(self, relWindVec.y)), 0) def apparent_wind(wind_sp, obj_speed, alpha): """http://en.wikipedia.org/wiki/Apparent_wind Returns apparent wind speed and angle of apparent wind. Alpha is the angle between the object and the true wind. alpha of 0 rads is a headwind; pi a tailwind. Speeds should always be positive.""" delta = wind_sp * cos(alpha) x = wind_sp**2 + obj_speed**2 + 2 * obj_speed * delta rel_speed = sqrt(x) if rel_speed == 0: beta = pi else: beta = acos((delta + obj_speed) / rel_speed) return (rel_speed, beta) def drag_force(wind, sp): """See http://en.wikipedia.org/wiki/Drag_equation Drag equation is F(a) = cl * p/2 * v^2 * a, where cl : drag coefficient (let's assume it's low, .e.g., 0.2), p : density of air (assume about 1 kg/m^3, the density just over 1500m elevation), v : relative speed of wind (to the body), a : area acted on (this is captured by the cross_section parameter). So then we have F(a) = 0.2 * 1/2 * v^2 * cross_section = 0.1 * v^2 * cross_section.""" return (sp**2.0) * 0.1 * wind.cross_section def acc(val, mag): """ Function to make the force vector. relWindVec is the direction the apparent wind comes *from*. We want to compute the accleration vector in the direction the wind blows to.""" if val == 0: return mag else: return (val / abs(val)) * (0 - mag) def toVec(magnitude, angle): """Converts a magnitude and angle (radians) to a vector in the xy plane.""" v = Vector3(magnitude, 0, 0) m = Matrix3() m.from_euler(0, 0, angle) return m.transposed() * v def constrain(value, minv, maxv): """Constrain a value to a range.""" if value < minv: value = minv if value > maxv: value = maxv return value if __name__ == "__main__": import doctest doctest.testmod()