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Hướng dẫn angle between two 3d points python - góc giữa hai điểm 3d python

Ngày đăng: 05/11/2022
Trả lời: 0
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Sử dụng một chức năng để giúp bạn chọn góc nào bạn muốn. Trong việc cầu xin mã của bạn, hãy viết:

Show
def angle(v1, v2, acute):
# v1 is your firsr vector
# v2 is your second vector
    angle = np.arccos(np.dot(v1, v2) / (np.linalg.norm(v1) * np.linalg.norm(v2)))
    if (acute == True):
        return angle
    else:
        return 2 * np.pi - angle

Sau đó, khi bạn muốn tính toán một góc (tính bằng radian) trong chương trình của bạn, chỉ cần viết

angle(vec1, vec2, 'True')

cho các góc cấp tính, và

angle(vec2, vec1, 'False')

cho các góc khó khăn.

Ví dụ:

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees

PointGeometry không có phương pháp trực tiếp để trả về góc dọc giữa hai điểm, nhưng nó có thể được sử dụng trong tập lệnh Python để cung cấp những gì bạn đang theo đuổi. Ví dụ này là dài dòng để chứng minh các tính toán trong một số chi tiết. Nó có thể được sắp xếp hợp lý và bẫy lỗi được thêm vào khi khoảng cách dọc bằng không (nghĩa là góc dọc = 90 độ) và kiểm tra nếu các điểm trùng khớp.

Điều này đã được thử nghiệm trong ARCMAP nhưng sẽ hoạt động giống nhau trong ArcGIS Pro.

import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))

Ví dụ đầu ra:

Hướng dẫn angle between two 3d points python - góc giữa hai điểm 3d python

Đã cho tọa độ ba điểm A (x1, y1, z1), b (x2, y2, z2) và c (x3, y3, z3) trong mặt phẳng 3D, trong đó B là điểm giao nhau của đường AB và BC, Nhiệm vụ là tìm góc giữa các đường AB và BC. & NBSP;A(x1, y1, z1), B(x2, y2, z2), and C(x3, y3, z3) in a 3D plane, where B is the intersection point of line AB and BC, the task is to find the angle between lines AB and BC.
 

Hướng dẫn angle between two 3d points python - góc giữa hai điểm 3d python

Ví dụ: & nbsp; & nbsp; 
 

Đầu vào: x1 = 1, y1 = 3, z1 = 3; x2 = 3, y2 = 4, z2 = 5; x3 = 5, y3 = 6, z3 = 9; & nbsp; đầu ra: 54.6065input: x1 = 10, y1 = 10, z1 = 10; x2 = 0, y2 = 0, z2 = 0; x3 = 15, y3 = 10, z3 = 15; & nbsp; đầu ra: 56.4496 & nbsp; & nbsp; x1 = 1, y1 = 3, z1 = 3; x2 = 3, y2 = 4, z2 = 5; x3 = 5, y3 = 6, z3 = 9; 
Output: 54.6065
Input: x1 = 10, y1 = 10, z1 = 10; x2 = 0, y2 = 0, z2 = 0; x3 = 15, y3 = 10, z3 = 15; 
Output: 56.4496  

Approach: 
 

1. Tìm phương trình của các dòng AB và BC với các tọa độ đã cho theo tỷ lệ hướng là: & nbsp; & nbsp;AB and BC with the given coordinates in terms of direction ratios as: 
 

AB = (x1 - x2) i + (y1 - y2) j + (z1 - z2) k & nbsp; bc = (x3 - x2) i + (y3 - y2) j + (z3 - z2) k & nbsp; & nbsp;
BC = (x3 – x2)i + (y3 – y2)j + (z3 – z2)k 
 

2. Sử dụng công thức cho COS cho hai tỷ lệ hướng của các đường AB và BC để tìm cosin của góc giữa các đường AB và BC là: & nbsp; & nbsp;
 

Hướng dẫn angle between two 3d points python - góc giữa hai điểm 3d python
Trong đó, & nbsp; ab.bc là sản phẩm chấm của tỷ lệ hướng AB và BC. & NBSP; | AB | là cường độ của dòng ab & nbsp; | bc | là cường độ của dòng BC & NBSP;
AB.BC is the dot product of direction ratios AB and BC. 
|AB| is the magnitude of line AB 
|BC| is the magnitude of line BC 

3. Giả sử có hai tỷ lệ hướng: & nbsp; & nbsp;
 

A = ai + bj + ck
B = xi + yj + zk

 then 

Sản phẩm chấm (a.b) = a*x + b*y + c*z & nbsp; độ lớn của a = | a | = & nbsp; cường độ của b = | b | = & nbsp; & nbsp;
magnitude of A = |A| = 

Hướng dẫn angle between two 3d points python - góc giữa hai điểm 3d python

magnitude of B = |B| = 
Hướng dẫn angle between two 3d points python - góc giữa hai điểm 3d python
 

4. Cosin của góc tính toán cho giá trị cosin trong radian. Để tìm góc nhân giá trị cosin với (180/π).(180/Π).

Dưới đây là việc thực hiện phương pháp trên: & nbsp;
 

C++

#include "bits/stdc++.h"

#define PI 3.14

using namespace 

angle(vec1, vec2, 'True')
0

angle(vec1, vec2, 'True')
1 
angle(vec1, vec2, 'True')
2

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
5
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
7
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
9

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
2
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
4
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
6

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
9
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
1
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
3

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
4

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
7

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
0

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
3

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
6

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
9

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
A = ai + bj + ck
B = xi + yj + zk
2

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
A = ai + bj + ck
B = xi + yj + zk
5

A = ai + bj + ck
B = xi + yj + zk
6
A = ai + bj + ck
B = xi + yj + zk
7

A = ai + bj + ck
B = xi + yj + zk
8
A = ai + bj + ck
B = xi + yj + zk
9

A = ai + bj + ck
B = xi + yj + zk
8#include "bits/stdc++.h"1

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 #include "bits/stdc++.h"4

A = ai + bj + ck
B = xi + yj + zk
6#include "bits/stdc++.h"6

A = ai + bj + ck
B = xi + yj + zk
8#include "bits/stdc++.h"8

A = ai + bj + ck
B = xi + yj + zk
8#define PI 3.140

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 #define PI 3.143

A = ai + bj + ck
B = xi + yj + zk
6#define PI 3.145

A = ai + bj + ck
B = xi + yj + zk
8#define PI 3.147

A = ai + bj + ck
B = xi + yj + zk
8#define PI 3.149

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 using2

angle(vec1, vec2, 'True')
3using4using55____86

A = ai + bj + ck
B = xi + yj + zk
6using8

angle(vec1, vec2, 'True')
3namespace0

angle(vec1, vec2, 'True')
3namespace2namespace3namespace4

namespace5

angle(vec1, vec2, 'True')
4 namespace7

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
4

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
01

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
04

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
07

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
09

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
11

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
13

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
15 
angle(vec1, vec2, 'True')
16

namespace5

Java

angle(vec1, vec2, 'True')
18 
angle(vec1, vec2, 'True')
19

angle(vec1, vec2, 'True')
20 
angle(vec1, vec2, 'True')
21

angle(vec1, vec2, 'True')
22 
angle(vec1, vec2, 'True')
1 
angle(vec1, vec2, 'True')
2
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
5
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
7
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
9

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
2
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
4
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
6

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
9
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
1
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
3

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
4

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
7

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
0

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
3

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
6

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
9

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
A = ai + bj + ck
B = xi + yj + zk
2

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
A = ai + bj + ck
B = xi + yj + zk
5

angle(vec1, vec2, 'True')
67
angle(vec1, vec2, 'True')
68

angle(vec1, vec2, 'True')
67
angle(vec1, vec2, 'True')
70

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 #include "bits/stdc++.h"4

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
75

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
77

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 #define PI 3.143

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
82

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
84

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 using2

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
89

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
91
angle(vec1, vec2, 'True')
92
angle(vec1, vec2, 'True')
93
angle(vec1, vec2, 'True')
94
angle(vec1, vec2, 'True')
95

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
97
angle(vec1, vec2, 'True')
98
angle(vec1, vec2, 'True')
99

namespace5

angle(vec1, vec2, 'True')
3using4using55____86

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
4

angle(vec1, vec2, 'True')
4 namespace7

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
01

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
04

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
09

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
11

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
13

namespace5

namespace5

Python3

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
07

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
15 
angle(vec1, vec2, 'True')
16

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
11

angle(vec1, vec2, 'True')
10
angle(vec2, vec1, 'False')
48

Java

angle(vec1, vec2, 'True')
18 
angle(vec1, vec2, 'True')
19

angle(vec1, vec2, 'True')
20 
angle(vec1, vec2, 'True')
21

angle(vec1, vec2, 'True')
22 
angle(vec1, vec2, 'True')
1 
angle(vec1, vec2, 'True')
2
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
5
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
7
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
9

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
2
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
4
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
6

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
9
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
1
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
3

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
angle(vec1, vec2, 'True')
66

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
angle(vec1, vec2, 'True')
73

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
angle(vec1, vec2, 'True')
80

angle(vec2, vec1, 'False')
01 
angle(vec1, vec2, 'True')
22 
angle(vec1, vec2, 'True')
1 
angle(vec2, vec1, 'False')
04

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
08
angle(vec2, vec1, 'False')
09
angle(vec2, vec1, 'False')
10____211
angle(vec2, vec1, 'False')
121211211
angle(vec1, vec2, 'True')
95

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
17
angle(vec2, vec1, 'False')
11
angle(vec2, vec1, 'False')
19____220
angle(vec2, vec1, 'False')
21
angle(vec2, vec1, 'False')
22222222219

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
26
angle(vec2, vec1, 'False')
2222228
angle(vec2, vec1, 'False')
29
angle(vec2, vec1, 'False')
30
angle(vec2, vec1, 'False')
31
angle(vec1, vec2, 'True')
95

angle(vec1, vec2, 'True')
10
angle(vec2, vec1, 'False')
74
angle(vec2, vec1, 'False')
89 
angle(vec2, vec1, 'False')
74
angle(vec2, vec1, 'False')
91

angle(vec1, vec2, 'True')
10
angle(vec2, vec1, 'False')
80
angle(vec2, vec1, 'False')
89 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
00

angle(vec1, vec2, 'True')
3
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
34
angle(vec2, vec1, 'False')
51 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
36

angle(vec1, vec2, 'True')
3
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
34
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
39
angle(vec2, vec1, 'False')
51 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
41
angle(vec2, vec1, 'False')
89

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
43
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
44

angle(vec1, vec2, 'True')
3
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
34
angle(vec2, vec1, 'False')
51 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
48__

Các

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
64 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
65
angle(vec2, vec1, 'False')
51
angle(vec2, vec1, 'False')
51
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
68
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
69

Các

angle(vec1, vec2, 'True')
3
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
80
angle(vec2, vec1, 'False')
51 
angle(vec2, vec1, 'False')
11
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
74
angle(vec2, vec1, 'False')
20
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
74
angle(vec2, vec1, 'False')
222222222

angle(vec1, vec2, 'True')
3
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
89
angle(vec2, vec1, 'False')
51 
angle(vec2, vec1, 'False')
222
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
74
angle(vec2, vec1, 'False')
29
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
74
angle(vec2, vec1, 'False')
31__

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
09

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
11

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
13

C#

using 

import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
04

angle(vec1, vec2, 'True')
20 
angle(vec1, vec2, 'True')
21

angle(vec1, vec2, 'True')
22 
angle(vec1, vec2, 'True')
1 
angle(vec1, vec2, 'True')
2
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
5
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
13

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
16
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
18

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
4
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
6

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
angle(vec2, vec1, 'False')
9
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
28

angle(vec1, vec2, 'True')
31
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
3

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
4

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
7

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
0

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
3

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
6

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
9

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
A = ai + bj + ck
B = xi + yj + zk
2

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
angle(vec1, vec2, 'True')
66

angle(vec1, vec2, 'True')
67
angle(vec1, vec2, 'True')
68

angle(vec1, vec2, 'True')
67
angle(vec1, vec2, 'True')
70

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
angle(vec1, vec2, 'True')
73

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
75

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
77

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 
angle(vec1, vec2, 'True')
80

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
82

angle(vec1, vec2, 'True')
74
angle(vec1, vec2, 'True')
84

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
4 using2

angle(vec1, vec2, 'True')
3
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
76

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
43
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
44

angle(vec1, vec2, 'True')
3
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
80

angle(vec1, vec2, 'True')
3
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
82
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
83
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
84

namespace5

angle(vec2, vec1, 'False')
01 
angle(vec1, vec2, 'True')
22 
angle(vec1, vec2, 'True')
1 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
89

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
4

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
01

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
04

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
4 
angle(vec1, vec2, 'True')
07

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
09

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
11

angle(vec1, vec2, 'True')
10
angle(vec1, vec2, 'True')
13

namespace5

namespace5

JavaScript

A = ai + bj + ck
B = xi + yj + zk
08

A = ai + bj + ck
B = xi + yj + zk
09 
A = ai + bj + ck
B = xi + yj + zk
10

A = ai + bj + ck
B = xi + yj + zk
11 
angle(vec1, vec2, 'True')
2

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
14

angle(vec1, vec2, 'True')
3
angle(vec1, vec2, 'True')
11

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
18

vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
4

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 
vec1 = [1, -1, 0]
vec2 = [1, 1, 0]

#I am explicitly converting from radian to degree
print(180* angle(vec1, vec2, True)/np.pi) #90 degrees
print(180* angle(vec2, vec1, False)/np.pi) #270 degrees
7

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
0

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
3

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
6

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 
import arcpy
import math

# making the assumption that the points are in a projected coordinate system and
# that the measurement unit for horizontal and vertical are the same i.e. metres

# input feature layer must be points (Z-enabled) and only the first two will be used
# this code could be modified to process all points in a feature layer 
# if required (i.e. turn this into a function)
points = arcpy.GetParameterAsText(0)

# read in the point geometries into a list to make it easier for processing
pointGeometry = []
with arcpy.da.SearchCursor(points, ["SHAPE@"]) as aRows:
    for aRow in aRows:
        pointGeometry.append(aRow[0])

# create variables for the two points
point1 = pointGeometry[0]
point2 = pointGeometry[1]

# get the distance between the points     
horDistance = point1.angleAndDistanceTo(point2, "PLANAR")[1]

# calculate the vertical distance between the points
verDistance = point2.firstPoint.Z - point1.firstPoint.Z

# calculate the vertical angle
angle = math.acos(verDistance/horDistance) # the result is in radians
angleDeg = math.degrees(angle) # convert the angle to degrees

# output the results
arcpy.AddMessage("Horizontal distance Point 1 to 2: {}".format(horDistance))
arcpy.AddMessage("Vertical distance Point 1 to 2: {}".format(verDistance))
arcpy.AddMessage("Vertical angle (radians) Point 1 to 2: {}".format(angle))
arcpy.AddMessage("Vertical angle (degrees) Point 1 to 2: {}".format(angleDeg))
9

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 
A = ai + bj + ck
B = xi + yj + zk
2

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 
A = ai + bj + ck
B = xi + yj + zk
5

A = ai + bj + ck
B = xi + yj + zk
6
A = ai + bj + ck
B = xi + yj + zk
7

A = ai + bj + ck
B = xi + yj + zk
8
A = ai + bj + ck
B = xi + yj + zk
9

A = ai + bj + ck
B = xi + yj + zk
8#include "bits/stdc++.h"1

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 #include "bits/stdc++.h"4

A = ai + bj + ck
B = xi + yj + zk
6#include "bits/stdc++.h"6

A = ai + bj + ck
B = xi + yj + zk
8#include "bits/stdc++.h"8

A = ai + bj + ck
B = xi + yj + zk
8#define PI 3.140

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 #define PI 3.143

A = ai + bj + ck
B = xi + yj + zk
6#define PI 3.145

A = ai + bj + ck
B = xi + yj + zk
8#define PI 3.147

A = ai + bj + ck
B = xi + yj + zk
8#define PI 3.149

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
09 using2

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
69

A = ai + bj + ck
B = xi + yj + zk
6using8

angle(vec1, vec2, 'True')
3namespace0

angle(vec1, vec2, 'True')
3
A = ai + bj + ck
B = xi + yj + zk
75

namespace5

A = ai + bj + ck
B = xi + yj + zk
09 
angle(vec1, vec2, 'True')
01

A = ai + bj + ck
B = xi + yj + zk
09 
angle(vec1, vec2, 'True')
04

A = ai + bj + ck
B = xi + yj + zk
09 
angle(vec1, vec2, 'True')
07

angle(vec1, vec2, 'True')
09

A = ai + bj + ck
B = xi + yj + zk
84
angle(vec1, vec2, 'True')
11

A = ai + bj + ck
B = xi + yj + zk
84
angle(vec1, vec2, 'True')
13

A = ai + bj + ck
B = xi + yj + zk
88


Làm thế nào để bạn tìm thấy góc giữa hai điểm trong 3D?

Để tính toán góc giữa hai vectơ trong không gian 3D: Tìm sản phẩm chấm của các vectơ. Chia sản phẩm chấm cho độ lớn của vectơ đầu tiên. Chia kết quả cho độ lớn của vectơ thứ hai.Find the dot product of the vectors. Divide the dot product by the magnitude of the first vector. Divide the resultant by the magnitude of the second vector.

Làm thế nào để bạn tìm thấy góc giữa hai vectơ trong Python 3D?

Chúng ta có thể tính toán góc giữa hai vectơ theo công thức, trong đó nói rằng góc của hai vectơ cosθ bằng với sản phẩm chấm của hai vectơ chia cho sản phẩm chấm của mod của hai vectơ.A, B là hai vectơ và là góc giữa hai vectơ A và B.the angle of two vectors cosθ is equal to the dot product of two vectors divided by the dot product of the mod of two vectors. A, B are two vectors and θ is the angle between two vectors A and B.

Làm thế nào để bạn tìm thấy góc giữa hai điểm trong Python?

Làm thế nào để bạn tìm thấy góc giữa hai điểm trong Python ?..
Từ nhập khẩu toán học ATAN2, PI ..
góc def (a, b, c, /):.
Ax, ay = a [0] -b [0], a [1] -b [1].
CX, CY = C [0] -B [0], C [1] -B [1].
a = atan2 (ay, ax).
C = ATAN2 (CY, CX).
Nếu a <0: a += pi*2 ..

Làm thế nào để bạn đo một góc trong Python?

Góc được tính bằng công thức tan-1 (x/y).Tham số: Z: [Array_like] Một số phức hoặc chuỗi các số phức.deg: [bool, tùy chọn] trả về góc độ nếu đúng, radian nếu sai (mặc định).tan-1(x/y). Parameters : z : [array_like] A complex number or sequence of complex numbers. deg : [bool, optional] Return angle in degrees if True, radians if False (default).

programming python Calculate angle Python

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