def _create_track()

in gym/envs/box2d/car_racing.py [0:0]


    def _create_track(self):
        CHECKPOINTS = 12

        # Create checkpoints
        checkpoints = []
        for c in range(CHECKPOINTS):
            noise = self.np_random.uniform(0, 2 * math.pi * 1 / CHECKPOINTS)
            alpha = 2 * math.pi * c / CHECKPOINTS + noise
            rad = self.np_random.uniform(TRACK_RAD / 3, TRACK_RAD)

            if c == 0:
                alpha = 0
                rad = 1.5 * TRACK_RAD
            if c == CHECKPOINTS - 1:
                alpha = 2 * math.pi * c / CHECKPOINTS
                self.start_alpha = 2 * math.pi * (-0.5) / CHECKPOINTS
                rad = 1.5 * TRACK_RAD

            checkpoints.append((alpha, rad * math.cos(alpha), rad * math.sin(alpha)))
        self.road = []

        # Go from one checkpoint to another to create track
        x, y, beta = 1.5 * TRACK_RAD, 0, 0
        dest_i = 0
        laps = 0
        track = []
        no_freeze = 2500
        visited_other_side = False
        while True:
            alpha = math.atan2(y, x)
            if visited_other_side and alpha > 0:
                laps += 1
                visited_other_side = False
            if alpha < 0:
                visited_other_side = True
                alpha += 2 * math.pi

            while True:  # Find destination from checkpoints
                failed = True

                while True:
                    dest_alpha, dest_x, dest_y = checkpoints[dest_i % len(checkpoints)]
                    if alpha <= dest_alpha:
                        failed = False
                        break
                    dest_i += 1
                    if dest_i % len(checkpoints) == 0:
                        break

                if not failed:
                    break

                alpha -= 2 * math.pi
                continue

            r1x = math.cos(beta)
            r1y = math.sin(beta)
            p1x = -r1y
            p1y = r1x
            dest_dx = dest_x - x  # vector towards destination
            dest_dy = dest_y - y
            # destination vector projected on rad:
            proj = r1x * dest_dx + r1y * dest_dy
            while beta - alpha > 1.5 * math.pi:
                beta -= 2 * math.pi
            while beta - alpha < -1.5 * math.pi:
                beta += 2 * math.pi
            prev_beta = beta
            proj *= SCALE
            if proj > 0.3:
                beta -= min(TRACK_TURN_RATE, abs(0.001 * proj))
            if proj < -0.3:
                beta += min(TRACK_TURN_RATE, abs(0.001 * proj))
            x += p1x * TRACK_DETAIL_STEP
            y += p1y * TRACK_DETAIL_STEP
            track.append((alpha, prev_beta * 0.5 + beta * 0.5, x, y))
            if laps > 4:
                break
            no_freeze -= 1
            if no_freeze == 0:
                break

        # Find closed loop range i1..i2, first loop should be ignored, second is OK
        i1, i2 = -1, -1
        i = len(track)
        while True:
            i -= 1
            if i == 0:
                return False  # Failed
            pass_through_start = (
                track[i][0] > self.start_alpha and track[i - 1][0] <= self.start_alpha
            )
            if pass_through_start and i2 == -1:
                i2 = i
            elif pass_through_start and i1 == -1:
                i1 = i
                break
        if self.verbose:
            print("Track generation: %i..%i -> %i-tiles track" % (i1, i2, i2 - i1))
        assert i1 != -1
        assert i2 != -1

        track = track[i1 : i2 - 1]

        first_beta = track[0][1]
        first_perp_x = math.cos(first_beta)
        first_perp_y = math.sin(first_beta)
        # Length of perpendicular jump to put together head and tail
        well_glued_together = np.sqrt(
            np.square(first_perp_x * (track[0][2] - track[-1][2]))
            + np.square(first_perp_y * (track[0][3] - track[-1][3]))
        )
        if well_glued_together > TRACK_DETAIL_STEP:
            return False

        # Red-white border on hard turns
        border = [False] * len(track)
        for i in range(len(track)):
            good = True
            oneside = 0
            for neg in range(BORDER_MIN_COUNT):
                beta1 = track[i - neg - 0][1]
                beta2 = track[i - neg - 1][1]
                good &= abs(beta1 - beta2) > TRACK_TURN_RATE * 0.2
                oneside += np.sign(beta1 - beta2)
            good &= abs(oneside) == BORDER_MIN_COUNT
            border[i] = good
        for i in range(len(track)):
            for neg in range(BORDER_MIN_COUNT):
                border[i - neg] |= border[i]

        # Create tiles
        for i in range(len(track)):
            alpha1, beta1, x1, y1 = track[i]
            alpha2, beta2, x2, y2 = track[i - 1]
            road1_l = (
                x1 - TRACK_WIDTH * math.cos(beta1),
                y1 - TRACK_WIDTH * math.sin(beta1),
            )
            road1_r = (
                x1 + TRACK_WIDTH * math.cos(beta1),
                y1 + TRACK_WIDTH * math.sin(beta1),
            )
            road2_l = (
                x2 - TRACK_WIDTH * math.cos(beta2),
                y2 - TRACK_WIDTH * math.sin(beta2),
            )
            road2_r = (
                x2 + TRACK_WIDTH * math.cos(beta2),
                y2 + TRACK_WIDTH * math.sin(beta2),
            )
            vertices = [road1_l, road1_r, road2_r, road2_l]
            self.fd_tile.shape.vertices = vertices
            t = self.world.CreateStaticBody(fixtures=self.fd_tile)
            t.userData = t
            c = 0.01 * (i % 3) * 255
            t.color = self.road_color + c
            t.road_visited = False
            t.road_friction = 1.0
            t.idx = i
            t.fixtures[0].sensor = True
            self.road_poly.append(([road1_l, road1_r, road2_r, road2_l], t.color))
            self.road.append(t)
            if border[i]:
                side = np.sign(beta2 - beta1)
                b1_l = (
                    x1 + side * TRACK_WIDTH * math.cos(beta1),
                    y1 + side * TRACK_WIDTH * math.sin(beta1),
                )
                b1_r = (
                    x1 + side * (TRACK_WIDTH + BORDER) * math.cos(beta1),
                    y1 + side * (TRACK_WIDTH + BORDER) * math.sin(beta1),
                )
                b2_l = (
                    x2 + side * TRACK_WIDTH * math.cos(beta2),
                    y2 + side * TRACK_WIDTH * math.sin(beta2),
                )
                b2_r = (
                    x2 + side * (TRACK_WIDTH + BORDER) * math.cos(beta2),
                    y2 + side * (TRACK_WIDTH + BORDER) * math.sin(beta2),
                )
                self.road_poly.append(
                    (
                        [b1_l, b1_r, b2_r, b2_l],
                        (255, 255, 255) if i % 2 == 0 else (255, 0, 0),
                    )
                )
        self.track = track
        return True