On 13/02/2015 at 09:47, xxxxxxxx wrote:
Hi
I need to convert an HPB value to a vector. There's loads of stuff on the net about it - but it either didn't work for me or is too confusing :(
Thanks for any help,
Glenn.
HPB (Euler) to Vector ? [SOLVED]
On 13/02/2015 at 17:13, xxxxxxxx wrote:
Hi Glenn,
some basic equations about rotations in c4d: HBP to vector and with Rotation matrix.
You can access all these methods with utils, but it might be better to see what´s going on...
Hope this helps ?
Best wishes
Martin
import c4d, math
def main() :
print "________________________________________"
print "Head = -50°"
print "Pitch = 10°"
print "Bank = 20°"
print "a spline object with two points "
print "one at zero vector, the other point moved on e.g. Z-Axis"
print "you can rotate the object and check the values given by the script"
print "________________________________________"
#_________________________
#variables
matr = op.GetMg()
p0 = op.GetPoint(0) * matr
p1 = op.GetPoint(1) * matr
#_________________________
#direction vector
direction = p0 - p1
print direction ,"direction vector"
print direction.GetNormalized(), "normalized direction vector"
#_________________________
#direction vector to rotation
eu = c4d.utils.VectorToHPB(direction)
print eu,"direction to euler rotation in radians"
HPB_2 = eu * 180 / math.pi
print HPB_2,"HPB_2 in degree with zero banking"
#one need at least three points to stabilize a 3d-system
#_________________________
#vector rotation to angle
rot = op.GetAbsRot()
print rot, "Rotation in radians"
HPB = rot * 180 / math.pi
print HPB,"Rotation HPB in degree"
#_________________________
#rotation angle to vector
rad = HPB * math.pi / 180
print rad,"Rotation back to radians"
#_____________________________________________________________
#rotation matrices first the single rotations degree to vector
#(It would be better to convert to radians first)
##rotate only H around Y - axis
print "________________________________________"
print "Single Head rotation"
print "Head = -50°, Pitch = 0°, Bank = 0°"
print matr.v1 ,"head vector, matrix v1"
hhx = math.cos(HPB.x * math.pi / 180)
hhy = 0
hhz = math.sin(HPB.x * math.pi / 180)
print c4d.Vector(hhx, hhy, hhz)
print matr.v2 ,"pitch vector, matrix v2"
hpx = 0
hpy = 1
hpz = 0
print c4d.Vector(hpx, hpy, hpz)
print matr.v3 ,"bank vector, matrix v3"
hbx = -math.sin(HPB.x * math.pi / 180)
hby = 0
hbz = math.cos(HPB.x * math.pi / 180)
print c4d.Vector(hbx, hby, hbz)
#R(Y)
ymatrix = c4d.Matrix(c4d.Vector(0,0,0),c4d.Vector(hhx, hhy, hhz),c4d.Vector(hpx, hpy, hpz),c4d.Vector(hbx, hby, hbz))
##rotate only P around X - axis
print "________________________________________"
print "Single Pitch rotation"
print "Head = 0°, Pitch = 10°, Bank = 0°"
print matr.v1 ,"head vector, matrix v1"
phx = 1
phy = 0
phz = 0
print c4d.Vector(phx, phy, phz)
print matr.v2 ,"pitch vector, matrix v2"
ppx = 0
ppy = math.cos(HPB.y * math.pi / 180)
ppz = -math.sin(HPB.y * math.pi / 180)
print c4d.Vector(ppx, ppy, ppz)
print matr.v3 ,"bank vector, matrix v3"
pbx = 0
pby = math.sin(HPB.y * math.pi / 180)
pbz = math.cos(HPB.y * math.pi / 180)
print c4d.Vector(pbx, pby, pbz)
#R(X)
xmatrix = c4d.Matrix(c4d.Vector(0,0,0),c4d.Vector(phx, phy, phz),c4d.Vector(ppx, ppy, ppz),c4d.Vector(pbx, pby, pbz))
##rotate only B around Z - axis
print "________________________________________"
print "Single Bank rotation"
print "Head = 0°, Pitch = 0°, Bank = 20°"
print matr.v1 ,"head vector, matrix v1"
bhx = math.cos(HPB.z * math.pi / 180)
bhy = -math.sin(HPB.z * math.pi / 180)
bhz = 0
print c4d.Vector(bhx, bhy, bhz)
print matr.v2 ,"pitch vector, matrix v2"
bpx = math.sin(HPB.z * math.pi / 180)
bpy = math.cos(HPB.z * math.pi / 180)
bpz = 0
print c4d.Vector(bpx, bpy, bpz)
print matr.v3 ,"bank vector, matrix v3"
bbx = 0
bby = 0
bbz = 1
print c4d.Vector(bbx, bby, bbz)
#R(Z)
zmatrix = c4d.Matrix(c4d.Vector(0,0,0),c4d.Vector(bhx, bhy, bhz),c4d.Vector(bpx, bpy, bpz),c4d.Vector(bbx, bby, bbz))
#_______________________________________________
#rotation matrix all together now
#total Rotation is R = R(Y)*R(X)*R(Z)
print "________________________________________"
print "________________________________________"
print "All rotations together"
print matr, "c4d Matrix from op.GetMg()"
print "multiply all rotation matrices"
print ymatrix*xmatrix*zmatrix, "our calculation of a rotation matrix"
if __name__=='__main__':
main()
On 16/02/2015 at 08:29, xxxxxxxx wrote:
Hello,
you could simply create a Matrix based on your rotation and apply that Matrix to a given Vector as discussed in this thread.
Beset wishes,
Sebastian