NumPy

'''NumPy'''("넘파이"라 읽는다)는 행렬이나 일반적으로 대규모 다차원 배열을 쉽게 처리할 수 있도록 지원하는 파이썬의 라이브러리이다. NumPy는 데이터 구조 외에도 수치 계산을 위해 효율적으로 구현된 기능을 제공한다.
;배열 생성
>>> import numpy as np
>>> x = np.array(1, 2, 3)
>>> x
array(1, 2, 3)
>>> y = np.arange(10) # like Python's range, but returns an array
>>> y
array(0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
;기본 작업
>>> a = np.array(1, 2, 3, 6)
>>> b = np.linspace(0, 2, 4) # create an array with four equally spaced points starting with 0 and ending with 2.
>>> c = a - b
>>> c
array( 1. , 1.33333333, 1.66666667, 4. )
>>> a**2
array( 1, 4, 9, 36)
;유니버셜 함수
>>> a = np.linspace(-np.pi, np.pi, 100)
>>> b = np.sin(a)
>>> c = np.cos(a)
;선형 대수학
>>> from numpy.random import rand
>>> from numpy.linalg import solve, inv
>>> a = np.array(1, 2, 3, 3, 4, 6.7, 5, 9.0, 5)
>>> a.transpose()
array( 1. , 3. , 5. ,
        2. ,  4. ,  9. ,
        3. ,  6.7,  5. )
>>> inv(a)
array(-2.27683616, 0.96045198, 0.07909605,
        1.04519774, -0.56497175,  0.1299435 ,
        0.39548023,  0.05649718, -0.11299435)
>>> b = np.array(3, 2, 1)
>>> solve(a, b) # solve the equation ax = b
array(-4.83050847, 2.13559322, 1.18644068)
>>> c = rand(3, 3) * 20 # create a 3x3 random matrix of values within 0,1 scaled by 20
>>> c
array( 3.98732789, 2.47702609, 4.71167924,
         9.24410671,   5.5240412 ,  10.6468792 ,
        10.38136661,   8.44968437,  15.17639591)
>>> np.dot(a, c) # matrix multiplication
array( 53.61964114, 38.8741616 , 71.53462537,
        118.4935668 ,   86.14012835,  158.40440712,
        155.04043289,  104.3499231 ,  195.26228855)
>>> a @ c # Starting with Python 3.5 and NumPy 1.10
array( 53.61964114, 38.8741616 , 71.53462537,
        118.4935668 ,   86.14012835,  158.40440712,
        155.04043289,  104.3499231 ,  195.26228855)
; OpenCV와의 통합
>>> import numpy as np
>>> import cv2
>>> r = np.reshape(np.arange(256*256)%256,(256,256)) # 256x256 pixel array with a horizontal gradient from 0 to 255 for the red color channel
>>> g = np.zeros_like(r) # array of same size and type as r but filled with 0s for the green color channel
>>> b = r.T # transposed r will give a vertical gradient for the blue color channel
>>> cv2.imwrite('gradients.png', np.dstack(b,g,r)) # OpenCV images are interpreted as BGR, the depth-stacked array will be written to an 8bit RGB PNG-file called 'gradients.png'
True
;최근접 이웃 탐색
>>> # # # Pure iterative Python # # #
>>> points = 9,2,8,4,7,2,3,4,4,5,6,9,5,0,7,8,2,7,0,3,2,7,3,0,6,1,1,2,9,6
>>> qPoint = 4,5,3
>>> minIdx = -1
>>> minDist = -1
>>> for idx, point in enumerate(points): # iterate over all points
        dist = sum((dp-dq)**2 for dp,dq in zip(point,qPoint))**0.5  # compute the euclidean distance for each point to q
        if dist >> print 'Nearest point to q: ', pointsminIdx
Nearest point to q: 3, 4, 4
>>> # # # Equivalent NumPy vectorization # # #
>>> import numpy as np
>>> points = np.array(9,2,8,4,7,2,3,4,4,5,6,9,5,0,7,8,2,7,0,3,2,7,3,0,6,1,1,2,9,6)
>>> qPoint = np.array(4,5,3)
>>> minIdx = np.argmin(np.linalg.norm(points-qPoint,axis=1)) # compute all euclidean distances at once and return the index of the smallest one
>>> print 'Nearest point to q: ', pointsminIdx
Nearest point to q: 3 4 4
* SciPy
* SymPy
* Matplotlib
* 
*  History of NumPy
분류:배열 프로그래밍 언어
분류:자유 수학 소프트웨어
분류:자유 과학 소프트웨어
분류:수치 해석 소프트웨어
분류:수치 프로그래밍 언어
분류:파이썬 라이브러리
분류:BSD 라이선스 소프트웨어