'''bl_info = { "name": "Spirals", "description": "Make spirals", "author": "Alejandro Omar Chocano Vasquez", "version": (1, 2), "blender": (2, 62, 0), "location": "View3D > Add > Curve", "warning": "", # used for warning icon and text in addons panel "wiki_url": "http://wiki.blender.org/index.php/Extensions:2.4/Py/" "Scripts/Object/Spirals", "tracker_url": "http://alexvaqp.googlepages.com?" "func=detail&aid=", "category": "Add Curve", } ''' import bpy, time from bpy.props import ( BoolProperty, FloatProperty, IntProperty, ) from math import sin, cos, pi, exp from bpy_extras.object_utils import AddObjectHelper, object_data_add #make normal spiral #----------------------------------------------------------------------------- def make_spiral(props, context): #archemedian and logarithmic can be plottet in zylindrical coordinates #if props.spiral_type != 1 and props.spiral_type != 2: # return None #INPUT: turns->degree->max_phi, steps, direction #Initialise Polar Coordinate Enviroment #------------------------------- props.degree = 360*props.turns #If you want to make the slider for degree steps = props.steps * props.turns #props.steps[per turn] -> steps[for the whole spiral] props.z_scale = props.dif_z * props.turns max_phi = pi*props.degree/180 #max angle in radian step_phi = max_phi/steps #angle in radians between two vertices if props.spiral_direction == 1: step_phi *= -1 #flip direction max_phi *= -1 step_z = props.z_scale/(steps-1) #z increase in one step verts = [] verts.extend([props.radius,0,0,1]) cur_phi = 0 cur_z = 0 #------------------------------- #Archemedean: dif_radius, radius cur_rad = props.radius step_rad = props.dif_radius/(steps * 360/props.degree) #radius increase per angle for archemedean spiral| (steps * 360/props.degree)...Steps needed for 360 deg #Logarithmic: radius, B_force, ang_div, dif_z #print("max_phi:",max_phi,"step_phi:",step_phi,"step_rad:",step_rad,"step_z:",step_z) while abs(cur_phi) <= abs(max_phi): cur_phi += step_phi cur_z += step_z #------------------------------- if props.spiral_type == 1: cur_rad += step_rad if props.spiral_type == 2: #r = a*e^{|theta| * b} cur_rad = props.radius * pow(props.B_force, abs(cur_phi)) #------------------------------- px = cur_rad * cos(cur_phi) py = cur_rad * sin(cur_phi) verts.extend( [px,py,cur_z,1] ) return verts #make Spheric spiral #----------------------------------------------------------------------------- def make_spiral_spheric(props, context): #INPUT: turns, steps[per turn], radius #use spherical Coordinates step_phi = (2*pi) / props.steps #Step of angle in radians for one turn steps = props.steps * props.turns #props.steps[per turn] -> steps[for the whole spiral] max_phi = 2*pi*props.turns #max angle in radian step_phi = max_phi/steps #angle in radians between two vertices if props.spiral_direction == 1: #flip direction step_phi *= -1 max_phi *= -1 step_theta = pi / (steps-1) #theta increase in one step (pi == 180 deg) verts = [] verts.extend([0,0,-props.radius,1]) #First vertex at south pole #cur_rad = props.radius = CONST cur_phi = 0 cur_theta = -pi/2 #Beginning at south pole while abs(cur_phi) <= abs(max_phi): #Coordinate Transformation sphere->rect px = props.radius * cos(cur_theta) * cos(cur_phi) py = props.radius * cos(cur_theta) * sin(cur_phi) pz = props.radius * sin(cur_theta) verts.extend([px,py,pz,1]) cur_theta += step_theta cur_phi += step_phi return verts #make torus spiral #----------------------------------------------------------------------------- def make_spiral_torus(props, context): #INPUT: turns, steps, inner_radius, curves_number, mul_height, dif_inner_radius, cycles max_phi = 2*pi*props.turns * props.cycles #max angle in radian step_phi = 2*pi/props.steps #Step of angle in radians between two vertices if props.spiral_direction == 1: #flip direction step_phi *= -1 max_phi *= -1 step_theta = (2*pi / props.turns) / props.steps step_rad = props.dif_radius / (props.steps * props.turns) step_inner_rad = props.dif_inner_radius / props.steps step_z = props.dif_z / (props.steps * props.turns) verts = [] cur_phi = 0 #Inner Ring Radius Angle cur_theta = 0 #Ring Radius Angle cur_rad = props.radius cur_inner_rad = props.inner_radius cur_z = 0 n_cycle = 0 while abs(cur_phi) <= abs(max_phi): #Torus Coordinates -> Rect px = ( cur_rad + cur_inner_rad * cos(cur_phi) ) * cos(props.curves_number * cur_theta) py = ( cur_rad + cur_inner_rad * cos(cur_phi) ) * sin(props.curves_number * cur_theta) pz = cur_inner_rad * sin(cur_phi) + cur_z verts.extend([px,py,pz,1]) if props.touch == True and cur_phi >= n_cycle * 2*pi: step_z = ( (n_cycle+1) * props.dif_inner_radius + props.inner_radius ) * 2 / (props.steps * props.turns) n_cycle += 1 cur_theta += step_theta cur_phi += step_phi cur_rad += step_rad cur_inner_rad += step_inner_rad cur_z += step_z return verts #----------------------------------------------------------------------------- def draw_curve(props, context): if props.spiral_type == 1: verts = make_spiral(props, context) if props.spiral_type == 2: verts = make_spiral(props, context) if props.spiral_type == 3: verts = make_spiral_spheric(props, context) if props.spiral_type == 4: verts = make_spiral_torus(props, context) curve_data = bpy.data.curves.new(name='Spiral', type='CURVE') curve_data.dimensions = '3D' if props.curve_type == 0: spline = curve_data.splines.new(type='POLY') elif props.curve_type == 1: spline = curve_data.splines.new(type='NURBS') spline.points.add( len(verts)*0.25-1 ) #Add only one quarter of points as elements in verts, because verts looks like: "x,y,z,?,x,y,z,?,x,..." spline.points.foreach_set('co', verts) new_obj = object_data_add(context, curve_data) class spirals(bpy.types.Operator): bl_idname = "curve.spirals" bl_label = "Spirals" bl_options = {'REGISTER','UNDO', 'PRESET'} #UNDO needed for operator redo and therefore also to let the addobjecthelp appear!!! bl_description = "adds different types of spirals" spiral_type = IntProperty(default=1, min=1, max=4, description="1:archemedian, 2:logarithmic, 3:spheric, 4:torus") curve_type = IntProperty(default=0, min=0, max=1, description="0:Poly, 1:Nurb") spiral_direction = IntProperty(default=0, min=0, max=1, description="0:counter-clockwise, 1:clockwise") turns = IntProperty(default=1, min=1, max=1000, description="Length of Spiral in 360 deg") steps = IntProperty(default=24, min=2, max=1000, description="Number of Vertices per turn") radius = FloatProperty(default=1.00, min=0.00, max=100.00, description="radius for first turn") dif_z = FloatProperty(default=0, min=-10.00, max=100.00, description="increase in z axis per turn") #needed for 1 and 2 spiral_type #ARCHMEDEAN variables dif_radius = FloatProperty(default=0.00, min=-50.00, max=50.00, description="radius increment in each turn") #step between turns(one turn equals 360 deg) #LOG variables B_force = FloatProperty(default=1.00, min=0.00, max=30.00, description="factor of exponent") #TORUS variables inner_radius = FloatProperty(default=0.20, min=0.00, max=100, description="Inner Radius of Torus") dif_inner_radius = FloatProperty(default=0, min=-10, max=100, description="Increase of inner Radius per Cycle") dif_radius = FloatProperty(default=0, min=-10, max=100, description="Increase of Torus Radius per Cycle") cycles = FloatProperty(default=1, min=0.00, max=1000, description="Number of Cycles") curves_number = IntProperty(default=1, min=1, max=400, description="Number of curves of spiral") touch = BoolProperty(default=False, description="No empty spaces between cycles") def draw(self, context): #Function used by Blender to draw the menu layout = self.layout layout.prop(self, 'spiral_type', text="Spiral Type") layout.prop(self, 'curve_type', text="Curve Type") layout.prop(self, 'spiral_direction', text="Spiral Direction") layout.label(text="Spiral Parameters:") layout.prop(self, 'turns', text = "Turns") layout.prop(self, 'steps', text = "Steps") box = layout.box() if self.spiral_type == 1: box.prop(self, 'dif_radius', text = "Radius Growth") box.prop(self, 'radius', text = "Radius") box.prop(self, 'dif_z', text = "Height") if self.spiral_type == 2: box.prop(self, 'radius', text = "Radius") box.prop(self, 'B_force', text = "Expansion Force") box.prop(self, 'dif_z', text = "Height") if self.spiral_type == 3: box.prop(self, 'radius', text = "Radius") if self.spiral_type == 4: box.prop(self, 'cycles', text = "Number of Cycles") if self.dif_inner_radius == 0 and self.dif_z == 0: self.cycles = 1 box.prop(self, 'radius', text = "Radius") if self.dif_z == 0: box.prop(self, 'dif_z', text = "Height per Cycle") else: box2 = box.box() box2.prop(self, 'dif_z', text = "Height per Cycle") box2.prop(self, 'touch', text = "Make Snail") box.prop(self, 'inner_radius', text = "Inner Radius") box.prop(self, 'curves_number', text = "Curves Number") box.prop(self, 'dif_radius', text = "Increase of Torus Radius") box.prop(self, 'dif_inner_radius', text = "Increase of Inner Radius") @classmethod def poll(cls, context): #method called by blender to check if the operator can be run return context.scene != None def execute(self, context): time_start = time.time() draw_curve(self, context) print("Drawing Spiral Finished: %.4f sec", time.time() - time_start) return {'FINISHED'}