Пример #1
0
 def _child_cells(self):
     """get all the child cells within the current cell,
      defined by the miniribs
     """
     cells = []
     for leftrib, rightrib in\
             itertools.izip(self.rib_profiles_3d[:-1], self.rib_profiles_3d[1:]):
         cells.append(BasicCell(leftrib, rightrib))
     if not self._miniribs:
         return cells
     ballooning = [self.rib1.ballooning[x] + self.rib2.ballooning[x] for x in self.x_values]
     #for i in range(len(first.data)):
     for index, (bl, left_point, right_point) in enumerate(itertools.izip(
         ballooning, self._ribs[0].profile_3d.data, self._ribs[1].profile_3d.data
     )):
         l = norm(right_point - left_point)  # L
         lnew = sum([norm(c.prof1.data[index] - c.prof2.data[index]) for c in cells])  # L-NEW
         for c in self._child_cells:
             newval = lnew / l / bl
             if newval < 1.:
                 c.ballooning_phi.append(arsinc(newval))  # B/L NEW 1 / (bl * l / lnew)
             else:
                 c.ballooning_phi.append(arsinc(1.))
                 #raise ValueError("mull")
     return cells
Пример #2
0
    def _child_cells(self):
        """
        get all the sub-cells within the current cell,
        (separated by miniribs)
        """
        cells = []
        for leftrib, rightrib in zip(self.rib_profiles_3d[:-1],
                                     self.rib_profiles_3d[1:]):
            cells.append(BasicCell(leftrib, rightrib, ballooning=[]))
        if not self.miniribs:
            return cells

        for index, xvalue in enumerate(self.x_values):
            left_point = self.rib1.profile_3d.data[index]
            right_point = self.rib2.profile_3d.data[index]
            bl = self.ballooning[xvalue]

            l = norm(right_point - left_point)  # L
            lnew = sum([
                norm(c.prof1.data[index] - c.prof2.data[index]) for c in cells
            ])  # L-NEW

            for c in cells:
                if bl > 0:
                    newval = l / lnew * (bl + 1 / 2) - 1 / 2
                    #newval = l/lnew / bl
                    #newval = lnew / l / bl if bl != 0 else 1
                    c.ballooning_phi.append(
                        Ballooning.arcsinc(
                            1 / (1 + newval)))  # B/L NEW 1 / (bl * l / lnew)
                else:
                    c.ballooning_phi.append(0.)
        return cells
Пример #3
0
    def polygon_size(self):
        size_min = float("inf")
        size_max = float("-inf")
        count = 0
        sum = 0

        for poly in self.all_polygons:
            if len(poly) in (3, 4):
                sides = []
                for i in range(len(poly)):
                    i_plus = i + 1
                    if i_plus == len(poly):
                        i_plus = 0
                    side = np.array(list(poly[i])) - np.array(
                        list(poly[i_plus]))
                    sides.append(side)

                if len(poly) == 3:
                    size_poly = 0.5 * vector.norm(np.cross(sides[0], sides[1]))
                elif len(poly) == 4:
                    size_poly = 0.5 * (
                        vector.norm(np.cross(sides[0], sides[1])) +
                        vector.norm(np.cross(sides[2], sides[3])))
                else:
                    size_poly = 0

                sum += size_poly
                count += 1

                size_min = min(size_min, size_poly)
                size_max = max(size_max, size_poly)

        return size_min, size_max, sum / count
Пример #4
0
 def area(self):
     p1_1 = self.rib1.align([0, 0, 0])
     p1_2 = self.rib1.align([1, 0, 0])
     p2_1 = self.rib2.align([0, 0, 0])
     p2_2 = self.rib2.align([1, 0, 0])
     return 0.5 * (norm(np.cross(p1_2 - p1_1, p2_1 - p1_1)) +
                   norm(np.cross(p2_2 - p2_1, p2_2 - p1_2)))
Пример #5
0
    def recalc(self):
        if not self.rib2.profile_2d.numpoints == self.rib1.profile_2d.numpoints:
            raise ValueError("Unequal length of Cell-Profiles")
        xvalues = self.rib1.profile_2d.x_values
        BasicCell.recalc(self)
        self.prof1 = self.rib1.profile_3d
        self.prof2 = self.rib2.profile_3d
        #Map Ballooning

        if not self.miniribs:  # In case there is no midrib, The Cell represents itself!
            self._cells = [self]  # The cell itself is its cell, clear?
            self._yvalues = [0, 1]
        else:
            self._cells = []
            self._yvalues = [0] + [rib.y_value for rib in self.miniribs] + [1]
            ballooning = [self.rib1.ballooning[x] + self.rib2.ballooning[x] for x in xvalues]
            miniribs = sorted(self.miniribs, key=lambda rib: rib.y_value)  # sort for cell-wide (y) argument.

            first = self.rib1.profile_3d
            for minirib in miniribs:
                big = self.midrib_basic_cell(minirib.y_value, True).data
                small = self.midrib_basic_cell(minirib.y_value, False).data
                points = []

                for i in range(len(big)):  # Calculate Rib
                    fakt = minirib.function(xvalues[i])  # factor ballooned/unb. (0-1)
                    point = small[i] + fakt * (big[i] - small[i])
                    points.append(point)

                minirib.data = points
                second = minirib
                self._cells.append(BasicCell(first, second, []))  # leave ballooning empty
                first = second
            #Last Sub-Cell
            self._cells.append(BasicCell(first, self.rib2.profile_3d, []))

            # Calculate ballooning for each x-value
            # Hamilton Principle:
            #       http://en.wikipedia.org/wiki/Hamilton%27s_principle
            #       http://en.wikipedia.org/wiki/Hamilton%E2%80%93Jacobi_equation
            # b' = b
            # f' = f*(l/l') [f=b/l]
            for i in range(len(first.data)):
                bl = ballooning[i] + 1  # b/l -> *l/lnew
                l = norm(self.rib2.profile_3d.data[i] - self.rib1.profile_3d.data[i])  # L
                lnew = sum([norm(c.prof1.data[i] - c.prof2.data[i]) for c in self._cells])  # L-NEW
                for c in self._cells:
                    newval = lnew / l / bl
                    if newval < 1.:
                        c.ballooning_phi.append(arsinc(newval))  # B/L NEW 1 / (bl * l / lnew)
                    else:
                        c.ballooning_phi.append(arsinc(1.))
                        #raise ValueError("mull")
            for cell in self._cells:
                cell.recalc()
Пример #6
0
 def _mindist(self, newpoint):
     np = array(newpoint)
     pts = array([[pt.x, pt.y] for pt in self.ml.Object.points])
     mindist0 = norm(pts[0] - np)
     print(mindist0)
     out = 0
     count = 0
     for pt in pts[1:]:
         count += 1
         mindist = norm(pt - np)
         if mindist < mindist0:
             out = count
     return out
Пример #7
0
 def _mindist(self, newpoint):
     np = array(newpoint)
     pts = array([[pt.x, pt.y] for pt in self.ml.Object.points])
     mindist0 = norm(pts[0] - np)
     print(mindist0)
     out = 0
     count = 0
     for pt in pts[1:]:
         count += 1
         mindist = norm(pt - np)
         if mindist < mindist0:
             out = count
     return out
Пример #8
0
 def area(self):
     area = 0.
     if len(self.ribs) == 0:
         return 0
     front = self.get_spanwise(0)
     back = self.get_spanwise(1)
     front[0][1] = 0  # Get only half a midrib, if there is...
     back[0][1] = 0
     for i in range(len(front) - 1):
         area += norm(numpy.cross(front[i] - front[i + 1], back[i + 1] - front[i + 1]))
         area += norm(numpy.cross(back[i] - back[i + 1], back[i] - front[i]))
         # By this we get twice the area of half the glider :)
         # http://en.wikipedia.org/wiki/Triangle#Using_vectors
     return area
Пример #9
0
    def make_smooth_dist(self, points, num=70, dist=None, upper=True):
        # make array [[lenght, x, y], ...]
        if not dist:
            return points
        length = [0]
        for i, point in enumerate(points[1:]):
            length.append(length[-1] + norm(point - points[i]))
        interpolation_x = Interpolation(zip(length, [p[0] for p in points]))
        interpolation_y = Interpolation(points)

        def get_point(dist):
            x = interpolation_x(dist)
            return [x, interpolation_y(x)]

        if dist == "const":
            dist = np.linspace(0, length[-1], num)
        elif dist == "sin":
            if upper:
                dist = [
                    np.sin(i) * length[-1]
                    for i in np.linspace(0, np.pi / 2, num)
                ]
            else:
                dist = [
                    abs(1 - np.sin(i)) * length[-1]
                    for i in np.linspace(0, np.pi / 2, num)
                ]
        else:
            return points
        return [get_point(d) for d in dist]
Пример #10
0
    def midrib_basic_cell(self, y, ballooning=True, arc_argument=True):
        if y == 0:              # left side
            return self.prof1
        elif y == 1:            # right side
            return self.prof2
        else:                   # somewhere
            #self._checkxvals()
            midrib = []

            for i in range(len(self.prof1.data)):  # Arc -> phi(bal) -> r  # oder so...
                diff = self.prof1[i] - self.prof2[i]
                if ballooning and self.ballooning_radius[i] > 0.:
                    if arc_argument:
                        d = 0.5 - math.sin(self.ballooning_phi[i] * (0.5 - y)) / math.sin(self.ballooning_phi[i])
                        h = math.cos(self.ballooning_phi[i] * (1 - 2 * y)) - self.ballooning_cos_phi[i]
                        #h = math.sqrt(1 - (norm(diff) * (0.5 - d) / self._radius[i]) ** 2)
                        #h -= self._cosphi[i]  # cosphi2-cosphi
                    else:
                        d = y
                        h = math.sqrt(1 - (norm(diff) * (0.5 - y) / self.ballooning_radius[i]) ** 2)
                        h -= self.ballooning_cos_phi[i]  # cosphi2-cosphi
                else:  # Without ballooning
                    d = y
                    h = 0.
                midrib.append(self.prof1[i] - diff * d + self.normvectors[i] * h * self.ballooning_radius[i])

            return Profile3D(midrib)
Пример #11
0
    def test_flat(self):
        prof = self.rib.profile_2d.copy()
        prof = PolyLine2D(prof.data) * [self.rib.chord, self.rib.chord]

        print(self.rib.profile_2d, prof)
        #prof.scale(self.rib.chord)
        gib_pos = [n.rib_pos for n in self.attachment_points]
        gib_pos.sort()
        hole_pos = [(x1 + x2) / 2 for x1, x2 in zip(gib_pos[:-1], gib_pos[1:])]

        rigid = RigidFoil(-.15, .12)
        r_flat = rigid.get_flattened(self.rib)

        print(self.rib.rotation_matrix,
              norm(self.rib.rotation_matrix.dot([2, 0, 0])))
        Graph.Graphics([
            Graph.Line(prof),
            Graph.Line(self.rib.profile_2d.data * self.rib.chord),
            Graph.Line(r_flat)
        ])

        Graph.Graphics([
            Graph.Line([self.rib.align(p, scale=False) for p in prof.data]),
            Graph.Line([self.rib.align(p, scale=False) for p in r_flat]),
            Graph.Line(self.rib.profile_3d.data)
        ])
Пример #12
0
    def _get_flattened(self, rib):
        max_segment = 0.005  # 5mm
        profile = rib.profile_2d
        profile_normvectors = PolyLine2D(profile.normvectors)

        start = profile(self.start)
        end = profile(self.end)

        point_range = []
        last_node = None
        for p in profile[start:end]:
            sign = -1 if p[1] > 0 else +1

            if last_node is not None:
                diff = norm(p - last_node) * rib.chord
                if diff > max_segment:
                    segments = int(math.ceil(diff / max_segment))
                    point_range += list(
                        np.linspace(point_range[-1], sign * p[0],
                                    segments))[1:]
                else:
                    point_range.append(sign * p[0])
            else:
                point_range.append(sign * p[0])

            last_node = p

        indices = [profile(x) for x in point_range]

        return [(profile[index] - profile_normvectors[index] * self.func(x)) *
                rib.chord for index, x in zip(indices, point_range)]
Пример #13
0
    def midrib_basic_cell(self, y, ballooning=True, arc_argument=True):
        if y == 0:              # left side
            return self.prof1
        elif y == 1:            # right side
            return self.prof2
        else:                   # somewhere
            #self._checkxvals()
            midrib = []

            for i in range(len(self.prof1.data)):  # Arc -> phi(bal) -> r  # oder so...
                diff = self.prof1[i] - self.prof2[i]
                if ballooning and self.ballooning_radius[i] > 0.:
                    if arc_argument:
                        d = 0.5 - math.sin(self.ballooning_phi[i] * (0.5 - y)) / math.sin(self.ballooning_phi[i])
                        h = math.cos(self.ballooning_phi[i] * (1 - 2 * y)) - self.ballooning_cos_phi[i]
                        #h = math.sqrt(1 - (norm(diff) * (0.5 - d) / self._radius[i]) ** 2)
                        #h -= self._cosphi[i]  # cosphi2-cosphi
                    else:
                        d = y
                        h = math.sqrt(1 - (norm(diff) * (0.5 - y) / self.ballooning_radius[i]) ** 2)
                        h -= self.ballooning_cos_phi[i]  # cosphi2-cosphi
                else:  # Without ballooning
                    d = y
                    h = 0.
                midrib.append(self.prof1[i] - diff * d + self.normvectors[i] * h * self.ballooning_radius[i])

            return Profile3D(midrib)
Пример #14
0
    def get_length(self, cell):
        rib1 = cell.rib1
        rib2 = cell.rib2
        left = rib1.profile_3d[rib1.profile_2d(self.left)]
        right = rib2.profile_3d[rib2.profile_2d(self.right)]

        return norm(left - right)
Пример #15
0
 def ballooning_radius(self):
     radius = []
     for i, phi in enumerate(self.ballooning_phi):
         if round(phi, 5) > 0:
             radius.append(norm(self.prof1.data[i] - self.prof2.data[i]) / (2*numpy.sin(phi)))
         else:
             radius.append(0)
     return radius
Пример #16
0
 def span(self):
     span = 0.
     front = self.get_spanwise()
     last = front[0] * [0, 0, 1]  # centerrib only halfed
     for this in front[1:]:
         span += norm((this - last) * [0, 1, 1])
         last = this
     return 2 * span
Пример #17
0
 def ballooning_radius(self):
     radius = []
     for i, phi in enumerate(self.ballooning_phi):
         if round(phi, 5) > 0:
             radius.append(norm(self.prof1.data[i] - self.prof2.data[i]) / (2*numpy.sin(phi)))
         else:
             radius.append(0)
     return radius
Пример #18
0
 def calc_panel_geo(self):
     for i in range(self.length):
         self.panel.append(numpy.array([self.airfoil[i], self.airfoil[i + 1]]))
         self.panel_mids.append((self.airfoil[i] + self.airfoil[i + 1]) / 2)
         self.half_lenghts[i] = vector.norm(self.airfoil[i] - self.airfoil[i + 1]) / 2
         self.panel_tangentials.append(self.panel[-1][1] - self.panel[-1][0])
         self.panel_normals.append(vector.normalize([-self.panel_tangentials[-1][1], self.panel_tangentials[-1][0]]))
     for i in range(self.wake_numpoints - 1):
         self.wake_panels.append(numpy.array([self.wake[i], self.wake[i + 1]]))
Пример #19
0
 def _douplet_const(self, point_j, panel):
     point_i_1, point_i_2 = panel
     t = point_i_2 - point_i_1
     n_ = vector.normalize([t[1], -t[0]])
     pn, s0 = numpy.linalg.solve(numpy.transpose(numpy.array([n_, t])), -point_i_1 + point_j)
     l = vector.norm(t)
     if pn == 0:
         return 0
     else:
         return 1 / 2 / numpy.pi * (-numpy.arctan2(pn, (s0 - 1) * l) + numpy.arctan2(pn, s0 * l))
Пример #20
0
        def _normalize(line, target_lengths):
            new_line = [line[0]]
            last_node = line[0]
            segments = line.get_segments()
            for segment, target_length in zip(segments, target_lengths):
                scale = target_length / norm(segment)
                last_node = last_node + scale * segment
                new_line.append(last_node)

            return PolyLine2D(new_line)
Пример #21
0
 def noseindex(self):
     p0 = self.data[0]
     max = 0
     noseindex = 0
     for i, p1 in enumerate(self.data):
         diff = norm(p1 - p0)
         if diff > max:
             noseindex = i
             max = diff
     return noseindex
Пример #22
0
 def noseindex(self):
     p0 = self.data[0]
     max = 0
     noseindex = 0
     for i, p1 in enumerate(self.data):
         diff = norm(p1 - p0)
         if diff > max:
             noseindex = i
             max = diff
     return noseindex
Пример #23
0
    def draw(self, graphics):
        cell, pointnums = super(Arrow, self).draw(graphics)
        assert len(pointnums) == 2

        arrow = vtk.vtkArrowSource()
        p1, p2 = graphics.get_points(*pointnums)
        transform = vtk.vtkTransform()
        transform.Translate(p1)
        length = norm(p2-p1)
        transform.Scale(length, length, length)
        pass
Пример #24
0
 def test_extend_case_afterend(self):
     #First Point further than the end
     for thalist in self.vectors:
         start = self.numpoints + random.random() * 50
         leng = random.random() * 100 - 50
         new = thalist.extend(start, leng)
         leng2 = thalist.get_length(start, new)
         self.assertAlmostEqual(abs(leng), leng2, 7,
                                "Failed for start=" + str(start) + " and leng=" + str(leng) +
                                "\nresult: i2=" + str(new) + " leng2=" + str(leng2) +
                                " dist=" + str(vector.norm(thalist[start] - thalist[new])))
Пример #25
0
    def draw(self, graphics):
        cell, pointnums = super(Arrow, self).draw(graphics)
        assert len(pointnums) == 2

        arrow = vtk.vtkArrowSource()
        p1, p2 = graphics.get_points(*pointnums)
        transform = vtk.vtkTransform()
        transform.Translate(p1)
        length = norm(p2-p1)
        transform.Scale(length, length, length)
        pass
Пример #26
0
    def test_extend_total(self):
        #Sum up the length of the list and check
        for thalist in self.vectors:
            total = 0
            for i in range(len(thalist) - 2):
                total += vector.norm(thalist[i] - thalist[i + 1])
                # First Test:
            i2 = thalist.extend(0, total)
            self.assertAlmostEqual(i2, len(thalist) - 2)

            # Second Test:
            self.assertAlmostEqual(total, thalist.get_length(0, len(thalist) - 2))
Пример #27
0
 def test_extend_case_afterend(self):
     #First Point further than the end
     for thalist in self.vectors:
         start = self.numpoints + random.random() * 50
         leng = random.random() * 100 - 50
         new = thalist.extend(start, leng)
         leng2 = thalist.get_length(start, new)
         self.assertAlmostEqual(
             abs(leng), leng2, 7,
             "Failed for start=" + str(start) + " and leng=" + str(leng) +
             "\nresult: i2=" + str(new) + " leng2=" + str(leng2) +
             " dist=" + str(vector.norm(thalist[start] - thalist[new])))
Пример #28
0
    def get_all(self):
        gib_pos = [n.rib_pos for n in self.attachment_points]
        gib_pos.sort()
        hole_pos = [(x1 + x2) / 2 for x1, x2 in zip(gib_pos[:-1], gib_pos[1:])]

        gibs = [self.get_gibus_arcs(y) for y in gib_pos]
        holes = [self.get_hole(x, 0.4) for x in hole_pos]
        rigid = self.get_rigid(-.15, .13)

        p = self.rib.profile_2d
        print(max([norm(p[0] - p2) for p2 in p]), self.rib.chord)

        return [Graph.Line(self.rib.profile_3d.data)] + gibs + holes + [rigid]
Пример #29
0
    def test_extend_total(self):
        #Sum up the length of the list and check
        for thalist in self.vectors:
            total = 0
            for i in range(len(thalist) - 2):
                total += vector.norm(thalist[i] - thalist[i + 1])
                # First Test:
            i2 = thalist.extend(0, total)
            self.assertAlmostEqual(i2, len(thalist) - 2)

            # Second Test:
            self.assertAlmostEqual(total,
                                   thalist.get_length(0,
                                                      len(thalist) - 2))
Пример #30
0
def flatten_list(list1, list2):
    index_left = index_right = 0
    flat_left = [numpy.array([0, 0])]
    flat_right = [numpy.array([norm(list1[0]-list2[0]), 0])]

    # def which(i, j):
    #     diff = list1[i] - list2[j]
    #     return diff.dot(list1[i+1]-list1[i]+list2[j+1]-list2[j+1])
    while True:
        #while which(index_left, index_right) <= 0 and index_left < len(list1) - 2:  # increase left_index
        if index_left < len(list1) -1:
            flat_left.append(point2d(list1[index_left], flat_left[index_left],
                                     list2[index_right], flat_right[index_right],
                                     list1[index_left + 1]))
            index_left += 1

        #while which(index_left, index_right) >= 0 and index_right < len(list2) - 2:  # increase right_index
        if index_right < len(list2) -1:
            flat_right.append(point2d(list1[index_left], flat_left[index_left],
                                      list2[index_right], flat_right[index_right],
                                      list2[index_right + 1]))
            index_right += 1

        if index_left == len(list1) - 1 and index_right == len(list2) - 1:
            break

    # while index_left < len(list1) - 1:
    #     flat_left.append(point2d(list1[index_left], flat_left[index_left],
    #                              list2[index_right], flat_right[index_right],
    #                              list1[index_left + 1]))
    #     index_left += 1
    #
    # while index_right < len(list2) - 1:
    #     flat_right.append(point2d(list1[index_left], flat_left[index_left],
    #                               list2[index_right], flat_right[index_right],
    #                               list2[index_right + 1]))
    #     index_right += 1

    return Vectorlist2D(flat_left), Vectorlist2D(flat_right)
Пример #31
0
    def projection(self):
        if not self._xvekt or not self._yvekt or not self._diff:
            p1 = self.data[0]
            diff_len = nose_index = 0
            diff = [p - p1 for p in self.data]
            for i in range(len(self.data)):
                thisdiff = norm(diff[i])
                if thisdiff > diff_len:
                    nose_index = i
                    diff_len = thisdiff

            xvect = normalize(diff[nose_index])
            yvect = numpy.array([0, 0, 0])

            for i in range(len(diff)):
                sign = 1 - 2 * (i > nose_index)
                yvect = yvect + sign * (diff[i] - xvect * xvect.dot(diff[i]))

            self.xvect = xvect
            self.yvect = normalize(yvect)
            self._diff = diff
            self.noseindex = nose_index
Пример #32
0
def flatten_list(list1, list2):
    index_left = index_right = 0
    flat_left = [numpy.array([0, 0])]
    flat_right = [numpy.array([norm(list1[0]-list2[0]), 0])]

    # def which(i, j):
    #     diff = list1[i] - list2[j]
    #     return diff.dot(list1[i+1]-list1[i]+list2[j+1]-list2[j+1])
    while True:
        #while which(index_left, index_right) <= 0 and index_left < len(list1) - 2:  # increase left_index
        if index_left < len(list1) - 1:
            flat_left.append(point2d(list1[index_left], flat_left[index_left],
                                     list2[index_right], flat_right[index_right],
                                     list1[index_left + 1]))
            index_left += 1

        #while which(index_left, index_right) >= 0 and index_right < len(list2) - 2:  # increase right_index
        if index_right < len(list2) - 1:
            flat_right.append(point2d(list1[index_left], flat_left[index_left],
                                      list2[index_right], flat_right[index_right],
                                      list2[index_right + 1]))
            index_right += 1

        if index_left == len(list1) - 1 and index_right == len(list2) - 1:
            break

    # while index_left < len(list1) - 1:
    #     flat_left.append(point2d(list1[index_left], flat_left[index_left],
    #                              list2[index_right], flat_right[index_right],
    #                              list1[index_left + 1]))
    #     index_left += 1
    #
    # while index_right < len(list2) - 1:
    #     flat_right.append(point2d(list1[index_left], flat_left[index_left],
    #                               list2[index_right], flat_right[index_right],
    #                               list2[index_right + 1]))
    #     index_right += 1

    return Vectorlist2D(flat_left), Vectorlist2D(flat_right)
Пример #33
0
    def normalize(self):
        """
        Normalize the airfoil.
        This routine does:
            *Put the nose back to (0,0)
            *De-rotate airfoil
            *Reset its length to 1
        """
        #to normalize do: put nose to (0,0), rotate to fit (1,0), normalize to (1,0)
        p1 = self.data[0]
        dmax = 0.
        nose = p1
        for i in self.data:
            temp = norm(i - p1)
            if temp > dmax:
                dmax = temp
                nose = i

        diff = p1 - nose
        sin = diff.dot([0, -1]) / dmax  # Angle: a.b=|a|*|b|*sin(alpha)
        cos = numpy.sqrt(1 - sin ** 2)
        matrix = numpy.array([[cos, -sin], [sin, cos]]) / dmax  # de-rotate and scale
        self.data = numpy.array([matrix.dot(i - nose) for i in self.data])
Пример #34
0
    def normalize(self):
        """
        Normalize the airfoil.
        This routine does:
            *Put the nose back to (0,0)
            *De-rotate airfoil
            *Reset its length to 1
        """
        #to normalize do: put nose to (0,0), rotate to fit (1,0), normalize to (1,0)
        p1 = self.data[0]
        dmax = 0.
        nose = p1
        for i in self.data:
            temp = norm(i - p1)
            if temp > dmax:
                dmax = temp
                nose = i

        diff = p1 - nose
        sin = diff.dot([0, -1]) / dmax  # Angle: a.b=|a|*|b|*sin(alpha)
        cos = numpy.sqrt(1 - sin**2)
        matrix = numpy.array([[cos, -sin], [sin, cos]
                              ]) / dmax  # de-rotate and scale
        self.data = numpy.array([matrix.dot(i - nose) for i in self.data])
Пример #35
0
 def length_no_sag(self):
     return norm(self.upper_node.vec - self.lower_node.vec)
Пример #36
0
 def area(self):
     p1_1 = self.rib1.align([0, 0, 0])
     p1_2 = self.rib1.align([1, 0, 0])
     p2_1 = self.rib2.align([0, 0, 0])
     p2_2 = self.rib2.align([1, 0, 0])
     return 0.5 * (norm(numpy.cross(p1_2 - p1_1, p2_1 - p1_1)) + norm(numpy.cross(p2_2 - p2_1, p2_2 - p1_2)))
Пример #37
0
 def length_projected(self):
     return norm(self.lower_node.vec_proj - self.upper_node.vec_proj)
Пример #38
0
 def length_projected(self):
     return norm(self.lower_node.vec_proj - self.upper_node.vec_proj)
Пример #39
0
 def drag_differential(self):
     """drag per meter"""
     return 1 / 2 * self.type.cw * self.type.thickness * norm(self.v_inf) ** 2
Пример #40
0
    def _insert_attachment_points(self, plotpart, attachment_points):
        for attachment_point in attachment_points:
            if hasattr(attachment_point, "cell"):
                if attachment_point.cell != self.cell:
                    continue

                cell_pos = attachment_point.cell_pos

            elif hasattr(attachment_point, "rib"):

                if attachment_point.rib not in self.cell.ribs:
                    continue

                if attachment_point.rib == self.cell.rib1:
                    cell_pos = 0
                    align = ("left", "right")
                elif attachment_point.rib == self.cell.rib2:
                    cell_pos = 1

            cut_f_l = self.panel.cut_front["left"]
            cut_f_r = self.panel.cut_front["right"]
            cut_b_l = self.panel.cut_back["left"]
            cut_b_r = self.panel.cut_back["right"]
            cut_f = cut_f_l + cell_pos * (cut_f_r - cut_f_l)
            cut_b = cut_b_l + cell_pos * (cut_b_r - cut_b_l)

            if cut_f <= attachment_point.rib_pos <= cut_b:
                rib_pos = attachment_point.rib_pos
                left, right = self.get_point(rib_pos)

                p1 = left + cell_pos * (right - left)
                d = normalize(right - left) * 0.008  # 8mm
                if cell_pos == 1:
                    p2 = p1 + d
                else:
                    p2 = p1 - d
                #p1, p2 = self.get_p1_p2(attachment_point.rib_pos, which)
                plotpart.layers["marks"] += self.config.marks_attachment_point(
                    p1, p2)
                plotpart.layers[
                    "L0"] += self.config.marks_laser_attachment_point(p1, p2)

                if self.config.insert_attachment_point_text:
                    text_align = "left" if cell_pos > 0.7 else "right"

                    if text_align == "right":
                        d1 = norm(self.get_point(cut_f_l)[0] - left)
                        d2 = norm(self.get_point(cut_b_l)[0] - left)
                    else:
                        d1 = norm(self.get_point(cut_f_r)[1] - right)
                        d2 = norm(self.get_point(cut_b_r)[1] - right)

                    bl = self.ballooned[0]
                    br = self.ballooned[1]

                    text_height = 0.01 * 0.8
                    dmin = text_height + 0.001

                    if d1 < dmin and d2 + d1 > 2 * dmin:
                        offset = dmin - d1
                        ik = get_x_value(self.x_values, rib_pos)
                        left = bl[bl.extend(ik, offset)]
                        right = br[br.extend(ik, offset)]
                    elif d2 < dmin and d1 + d2 > 2 * dmin:
                        offset = dmin - d2
                        ik = get_x_value(self.x_values, rib_pos)
                        left = bl[bl.extend(ik, -offset)]
                        right = br[br.extend(ik, -offset)]

                    if self.config.layout_seperate_panels and self.panel.is_lower:
                        # rotated later
                        p2 = left
                        p1 = right
                        # text_align = text_align
                    else:
                        p1 = left
                        p2 = right
                        # text_align = text_align
                    plotpart.layers["text"] += Text(
                        " {} ".format(attachment_point.name),
                        p1,
                        p2,
                        size=0.01,  # 1cm
                        align=text_align,
                        valign=0,
                        height=0.8).get_vectors()
Пример #41
0
    def get_flattened_cell(self, midribs=10):
        left, right = openglider.vector.projection.flatten_list(
            self.prof1, self.prof2)
        left_bal = left.copy()
        right_bal = right.copy()
        ballooning = [
            self.ballooning[x] for x in self.rib1.profile_2d.x_values
        ]
        for i in range(len(left)):
            diff = (right[i] - left[i]) * ballooning[i] / 2
            left_bal.data[i] -= diff
            right_bal.data[i] += diff

        def _normalize(line, target_lengths):
            new_line = [line[0]]
            last_node = line[0]
            segments = line.get_segments()
            for segment, target_length in zip(segments, target_lengths):
                scale = target_length / norm(segment)
                last_node = last_node + scale * segment
                new_line.append(last_node)

            return PolyLine2D(new_line)

        #
        left_bal_2 = _normalize(left_bal, left.get_segment_lengthes())
        right_bal_2 = _normalize(right_bal, right.get_segment_lengthes())
        right_bal_3 = right_bal_2.copy()
        left_bal_3 = left_bal_2.copy()

        debug_lines = []
        debug_lines2 = []

        for i in range(len(left_bal)):
            diff = left_bal_2[i] - right_bal_2[i]

            dist_new = norm(diff)
            dist_orig = norm(left_bal[i] - right_bal[i])

            diff_per_side = normalize(diff) * ((dist_new - dist_orig) / 2)

            right_bal_2[i] += diff_per_side
            left_bal_2[i] -= diff_per_side

            debug_lines.append(PolyLine2D([left_bal_2[i], right_bal_2[i]]))
            debug_lines2.append(PolyLine2D([left_bal[i], right_bal[i]]))

        inner = []
        for x in openglider.utils.linspace(0, 1, 2 + midribs):
            l1 = left_bal * (1 - x)
            l2 = right_bal * x
            inner.append(l1.add(l2))

        #ballooned = [left_bal, right_bal]

        return {
            "inner": inner,
            "ballooned": [left_bal, right_bal],
            "ballooned_new": [left_bal_2, right_bal_2],
            "ballooned_new_copy": [left_bal_3, right_bal_3],
            "debug": [left, right],
            "debug_1": debug_lines,
            "debug_2": debug_lines2
        }
Пример #42
0
 def span(self):  # TODO: Maybe use mean length from (1,0), (0,0)
     return norm((self.rib1.pos - self.rib2.pos) * [0, 1, 1])
Пример #43
0
 def length_no_sag(self):
     return norm(self.upper_node.vec - self.lower_node.vec)
Пример #44
0
 def span(self):
     return norm((self.rib1.pos - self.rib2.pos) * [0, 1, 1])
Пример #45
0
 def drag_differential(self):
     """drag per meter"""
     return 1 / 2 * self.type.cw * self.type.thickness * norm(self.v_inf)**2
Пример #46
0
 def setUp(self, numpoints=100):
     self.p1 = np.array([random.random(), random.random()])
     self.d = np.array([random.random(), random.random()]) * 100
     self.l = norm(self.d)
     self.p2 = self.p1 + self.d