Transfer orientation of points to bone armature

Question

I am trying to transfer position of 2 points into a bone, so that the bone has the same direction as the 2 points I tried it with this initial position this is the output after running the code

this is the code

import bpy
from mathutils import Vector, Quaternion
use_bone = bpy.data.objects['Armature'].pose.bones['Bone']
 
p1 = bpy.data.objects['Point.001'].location
p2 = bpy.data.objects['Point.002'].location

 
p_v = p2-p1
 
loc_h = Vector(use_bone.head)
loc_t = Vector(use_bone.tail)
loc_v = loc_t - loc_h
 
q = loc_v.rotation_difference(p_v)

use_bone.rotation_quaternion = use_bone.rotation_quaternion @ q

It doesnt even close to what I was expecting, anyone please help

Edit: I tried XY comments, if the bone has random head and tail, the script doesnt work.... this is the example : initial After run the code

I appreciate the help, just a little bit more help :)

Answer 1

Get the scene to test

import bpy
from mathutils import Vector

def add_empty(loc):
    bpy.ops.object.empty_add(location=loc)

def get_scene_to_test(): # clear scene and add bone
    objects = bpy.data.objects
    for obj in objects:
        objects.remove(obj)

    bpy.ops.object.armature_add(enter_editmode=True, align='WORLD', location=(1,1,1), rotation=(1,1,1))
    ob = bpy.context.object
    bone = ob.data.edit_bones[0]
    bone.head = 1,1,1
    bone.tail = 2,3,4
    bpy.ops.object.mode_set(mode='OBJECT')
    b = ob.data.bones[0]
    p0 = ob.matrix_world @ b.head_local
    p1 = ob.matrix_world @ b.tail_local
    add_empty(p0)
    add_empty(p1)

# make sure in object mode and have a active object
get_scene_to_test()

Change the head and tail position in a specific direction in world space

import bpy
from mathutils import Vector

def add_empty(loc):
    bpy.ops.object.empty_add(location=loc)

new_head_loc = Vector((3,3,3))
new_tail_loc = Vector((5,5,5))

add_empty(new_head_loc)
add_empty(new_tail_loc)

ob = bpy.data.objects["Armature"]
bpy.context.view_layer.objects.active = ob
bpy.ops.object.mode_set(mode='EDIT')
bone = ob.data.edit_bones[0]
mat = ob.matrix_world.inverted()
bone.head = mat @ new_head_loc
bone.tail = mat @ new_tail_loc