MacHack 2000/MacHack 2000.toast/pc/The Hacks/MacHacksBug/Python 1.5.2c1/Extensions/Numerical/Test/test_items

Text File | 2000-06-23 | 11.6 KB | 757 lines

#!/usr/bin/env python
import sys
from Numeric import *

#Creation from a nested sequence
array([1,2,3])
>array([1, 2, 3], 'l')

array([1,2.3,4])
>array([1.0, 2.3, 4.0], 'd')

array([1,2j,3.])
>array([(1+0j), 2j, (3+0j)], 'D')

array([1,2,3], Float32)
>array([1.0, 2.0, 3.0], 'f')

array([[1,2],[11,12]])
>array([[1, 2], [11, 12]], 'l')

array([[],[]]).shape
>(2, 0)

array([])
>array([], 'l')

#These are not just convenience functions
zeros( (2,3) )
>array([[0, 0, 0], [0, 0, 0]], 'l')

ones( (2,3), Int16)
>array([[1, 1, 1], [1, 1, 1]], 's')

#arrayrange now
arrayrange(7, step=2)
>array([0, 2, 4, 6], 'l')

arrayrange(0, 1.5, .5)
>array([0.0, 0.5, 1.0], 'd')

#Creation from String Data
fromstring("\001\002\003", 'b')
>array([1, 2, 3], 'b')


#Structural array operations
m = array([[1,2,3], [11,12,13]])
a = arange(6)

a[2:-1]
>array([2, 3, 4], 'l')

a[::-1]
>array([5, 4, 3, 2, 1, 0], 'l')


m[0,2]
>3

m[...,1]
>array([2, 12], 'l')

#take

take(a, (3,2,1,2,3))
>array([3, 2, 1, 2, 3], 'l')

take(m, (2,2,1,1), -1)
>array([[3, 3, 2, 2], [13, 13, 12, 12]], 'l')

#Rearranging array elements

reshape(m, (-1,2))
>array([[1, 2], [3, 11], [12, 13]], 'l')

reshape(a, (2,3))
>array([[0, 1, 2], [3, 4, 5]], 'l')

reshape(a, (4,-1))
>exceptions.ValueError: total size of new array must be unchanged

reshape(a, (5,6))
>exceptions.ValueError: total size of new array must be unchanged

ravel(m)
>array([1, 2, 3, 11, 12, 13], 'l')

a[..., NewAxis]
>array([[0], [1], [2], [3], [4], [5]], 'l')

transpose(m, (1,0))
>array([[1, 11], [2, 12], [3, 13]], 'l')

#Replicating and combining array elements

repeat(a, (0,1,2,3,0,0))
>array([1, 2, 2, 3, 3, 3], 'l')

repeat(a, (0,)*6)
>array([], 'l')

repeat(m, (0,2,1), -1)
>array([[2, 2, 3], [12, 12, 13]], 'l')

#al = [0,1,2,3,4,5]
concatenate( (a[:3], a[3:]) )
>array([0, 1, 2, 3, 4, 5], 'l')

concatenate( (m, m) )
>array([[1, 2, 3], [11, 12, 13], [1, 2, 3], [11, 12, 13]], 'l')

concatenate( (m, m), axis=1)
>array([[1, 2, 3, 1, 2, 3], [11, 12, 13, 11, 12, 13]], 'l')

#arithmetic and logic operators
x = array([1,2], 'l')
y = zeros((2,), 'l')

x+x
>array([2, 4], 'l')

add(x,x)
>array([2, 4], 'l')

add(x,x,y)
>array([2, 4], 'l')

y
>array([2, 4], 'l')

x-x
>array([0, 0], 'l')

subtract(x,x)
>array([0, 0], 'l')

x*x
>array([1, 4], 'l')

multiply(x, x)
>array([1, 4], 'l')

x/x
>array([1, 1], 'l')

divide(x,x)
>array([1, 1], 'l')

x**x
>array([1, 4], 'l')

power(x,x)
>array([1, 4], 'l')

x%x
>array([0, 0], 'l')

remainder(x,x)
>array([0, 0], 'l')

x<<1
>array([2, 4], 'l')

left_shift(x, 1)
>array([2, 4], 'l')

x>>1
>array([0, 1], 'l')

right_shift(x, 1)
>array([0, 1], 'l')

x & 2
>array([0, 2], 'l')

bitwise_and(x, 2)
>array([0, 2], 'l')

x | 1
>array([1, 3], 'l')

bitwise_or(x, 1)
>array([1, 3], 'l')

x ^ 2
>array([3, 0], 'l')

bitwise_xor(x, 2)
>array([3, 0], 'l')

#Non-elementwise operations
add.reduce(a)
>15

add.reduce(m, 0)
>array([12, 14, 16], 'l')

add.reduce(m, -1)
>array([6, 36], 'l')

add.reduce([1])
>1

add.reduce([])
>0

multiply.reduce([])
>1

add.outer(a[:3], a[:3])
>array([[0, 1, 2], [1, 2, 3], [2, 3, 4]], 'l')

dot(a,a)
>55

#conditional selection

choose(a, (5,4,3,2,1,0))
>array([5, 4, 3, 2, 1, 0], 'l')

choose([[1,0], [0,1]], (66, [(1,2),(11,12)]))
>array([[1, 66], [66, 12]], 'l')

#sorting

s = (3,2,5,1,4,0)
sm = [s, array(s)[::-1]]
se = array(s)[0:0]

sort( s )
>array([0, 1, 2, 3, 4, 5], 'l')

sort(se)
>zeros((0,), 'l')

argsort( s )
>array([5, 3, 1, 0, 4, 2], 'l')

argsort( se )
>zeros((0,), 'l')

sort(sm, axis=-1)
>array([[0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 5]], 'l')

sort(sm, axis=0)
>array([[0, 2, 1, 1, 2, 0], [3, 4, 5, 5, 4, 3]], 'l')

searchsorted( arange(10), (5, 2))
>array([5, 2], 'l')

#argmax/min

argmax( s )
>2

argmax( sm, axis=-1 )
>array([2, 3], 'l')

argmax(sm, axis=0)
>array([0, 1, 0, 1, 0, 1], 'l')

argmin(sm, axis=-1)
>array([5, 0], 'l')

#Implementation methods

array([3,4], Int32).itemsize()
>4

a.astype('i').byteswapped()
>array([0, 16777216, 33554432, 50331648, 67108864, 83886080], 'i')

a.typecode()
>l

a.iscontiguous()
>1

a.astype('d')
>array([0.0, 1.0, 2.0, 3.0, 4.0, 5.0], 'd')

u = array([0,1,2], Int8)
repr(u.tostring())
>'\000\001\002'

c = array([0,1,1j])
c.real
>array([0.0, 1.0, 0.0], 'd')

c.imag
>array([0.0, 0.0, 1.0], 'd')

#init = "from multiarray import *\nm = array([(5,2,6,9,3,4,1,0), (8,0,1,3,6,2,0,4)])"
#sorts = [("sort(m)", array([(0,1,2,3,4,5,6,9),(0,0,1,2,3,4,6,8)], 'l') ),
#    ("argmax(m)[1]", array([3,0], 'l') ),
#    ("argmin(m)[1]", array([7,1], 'l') ),
#    ]
#do_eval(sorts, initialize = init)



#sort and argsort need axis

a = arange(6)

#from Guido
a[...]
>array([0, 1, 2, 3, 4, 5], 'l')

array([None])
>array([None], 'O')

zeros( (2,), 'O')
>array([0, 0], 'O')

#from Janne
b = array(a)
b[0] = 66
a[0]
>0

zeros((-5,))
>exceptions.ValueError: negative dimensions are not allowed

arange(5,3,2)
>array([], 'l')

minimum.reduce()
>exceptions.TypeError: function requires at least 1 argument; 0 given

minimum.reduceat()
>exceptions.TypeError: function requires exactly 2 arguments; 0 given

b = array([[1, 2, 3, 4], [5, 6, 7, 8]]*2)

diagonal(b)
>array([1, 6, 3, 8], 'l')

diagonal(b, -1)
>array([5, 2, 7], 'l')

c = array([b,b])

diagonal(c, 1)
>array([[2, 7, 4], [2, 7, 4]], 'l')

#From Carlos
b[1:1].shape
>(0, 4)

b[1:1,:].shape
>(0, 4)

b[10:]
>zeros((0,4))

b[10:, :]
>zeros((0,4))

b[2:10]
>array([[1, 2, 3, 4], [5, 6, 7, 8]], 'l')

b[2:10, ...]
>array([[1, 2, 3, 4], [5, 6, 7, 8]], 'l')

1/array(0)
>exceptions.ZeroDivisionError: divide by zero

#1/array(0.)
#Machine dependent value, just hope there's no system crash on this
#>1.#INF

#Tim Hochberg

choose((0,1,2),([1,1,1],[2,2,2]))
>exceptions.ValueError: invalid entry in choice array

where((0,1,2), [1,1,1],[2,2,2])
>array([2, 1, 1], 'l')

divmod(array([2,1]), array([1,2]))
>(array([2, 0], 'l'), array([0, 1], 'l'))

4l*arange(1,3)
>array([4L, 8L], 'O')

arange(3L)
>array([0L, 1L, 2L], 'O')

import sys
from Numeric import *

#Creation from a nested sequence
array([1,2,3])
>array([1, 2, 3], 'l')

array([1,2.3,4])
>array([1.0, 2.3, 4.0], 'd')

array([1,2j,3.])
>array([(1+0j), 2j, (3+0j)], 'D')

array([1,2,3], Float32)
>array([1.0, 2.0, 3.0], 'f')

array([[1,2],[11,12]])
>array([[1, 2], [11, 12]], 'l')

array([[],[]]).shape
>(2, 0)

array([])
>array([], 'l')

#These are not just convenience functions
zeros( (2,3) )
>array([[0, 0, 0], [0, 0, 0]], 'l')

ones( (2,3), Int16)
>array([[1, 1, 1], [1, 1, 1]], 's')

#arrayrange now
arrayrange(7, step=2)
>array([0, 2, 4, 6], 'l')

arrayrange(0, 1.5, .5)
>array([0.0, 0.5, 1.0], 'd')

#Creation from String Data
fromstring("\001\002\003", 'b')
>array([1, 2, 3], 'b')


#Structural array operations
m = array([[1,2,3], [11,12,13]])
a = arange(6)

a[2:-1]
>array([2, 3, 4], 'l')

a[::-1]
>array([5, 4, 3, 2, 1, 0], 'l')


m[0,2]
>3

m[...,1]
>array([2, 12], 'l')

#take

take(a, (3,2,1,2,3))
>array([3, 2, 1, 2, 3], 'l')

take(m, (2,2,1,1), -1)
>array([[3, 3, 2, 2], [13, 13, 12, 12]], 'l')

#Rearranging array elements

reshape(m, (-1,2))
>array([[1, 2], [3, 11], [12, 13]], 'l')

reshape(a, (2,3))
>array([[0, 1, 2], [3, 4, 5]], 'l')

reshape(a, (4,-1))
>exceptions.ValueError: total size of new array must be unchanged

reshape(a, (5,6))
>exceptions.ValueError: total size of new array must be unchanged

ravel(m)
>array([1, 2, 3, 11, 12, 13], 'l')

a[..., NewAxis]
>array([[0], [1], [2], [3], [4], [5]], 'l')

transpose(m, (1,0))
>array([[1, 11], [2, 12], [3, 13]], 'l')

#Replicating and combining array elements

repeat(a, (0,1,2,3,0,0))
>array([1, 2, 2, 3, 3, 3], 'l')

repeat(a, (0,)*6)
>array([], 'l')

repeat(m, (0,2,1), -1)
>array([[2, 2, 3], [12, 12, 13]], 'l')

#al = [0,1,2,3,4,5]
concatenate( (a[:3], a[3:]) )
>array([0, 1, 2, 3, 4, 5], 'l')

concatenate( (m, m) )
>array([[1, 2, 3], [11, 12, 13], [1, 2, 3], [11, 12, 13]], 'l')

concatenate( (m, m), axis=1)
>array([[1, 2, 3, 1, 2, 3], [11, 12, 13, 11, 12, 13]], 'l')

#arithmetic and logic operators
x = array([1,2], 'l')
y = zeros((2,), 'l')

x+x
>array([2, 4], 'l')

add(x,x)
>array([2, 4], 'l')

add(x,x,y)
>array([2, 4], 'l')

y
>array([2, 4], 'l')

x-x
>array([0, 0], 'l')

subtract(x,x)
>array([0, 0], 'l')

x*x
>array([1, 4], 'l')

multiply(x, x)
>array([1, 4], 'l')

x/x
>array([1, 1], 'l')

divide(x,x)
>array([1, 1], 'l')

x**x
>array([1, 4], 'l')

power(x,x)
>array([1, 4], 'l')

x%x
>array([0, 0], 'l')

remainder(x,x)
>array([0, 0], 'l')

#Need more math functions here...

#Non-elementwise operations
add.reduce(a)
>15

add.reduce(m, 0)
>array([12, 14, 16], 'l')

add.reduce(m, -1)
>array([6, 36], 'l')

add.reduce([1])
>1

add.reduce([])
>0

multiply.reduce([])
>1

add.outer(a[:3], a[:3])
>array([[0, 1, 2], [1, 2, 3], [2, 3, 4]], 'l')

dot(a,a)
>55

#conditional selection

choose(a, (5,4,3,2,1,0))
>array([5, 4, 3, 2, 1, 0], 'l')

choose([[1,0], [0,1]], (66, [(1,2),(11,12)]))
>array([[1, 66], [66, 12]], 'l')

#sorting

s = (3,2,5,1,4,0)
sm = [s, array(s)[::-1]]

sort( s )
>array([0, 1, 2, 3, 4, 5], 'l')

argsort( s )
>array([5, 3, 1, 0, 4, 2], 'l')

sort(sm, axis=-1)
>array([[0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 5]], 'l')

sort(sm, axis=0)
>array([[0, 2, 1, 1, 2, 0], [3, 4, 5, 5, 4, 3]], 'l')

searchsorted( arange(10), (5, 2))
>array([5, 2], 'l')

#argmax/min

argmax( s )
>2

argmax( sm, axis=-1 )
>array([2, 3], 'l')

argmax(sm, axis=0)
>array([0, 1, 0, 1, 0, 1], 'l')

argmin(sm, axis=-1)
>array([5, 0], 'l')

#Implementation methods

array([3,4], Int32).itemsize()
>4

a.astype('i').byteswapped()
>array([0, 16777216, 33554432, 50331648, 67108864, 83886080], 'i')

a.typecode()
>l

a.iscontiguous()
>1

a.astype('d')
>array([0.0, 1.0, 2.0, 3.0, 4.0, 5.0], 'd')

u = array([0,1,2], Int8)
repr(u.tostring())
>'\000\001\002'

c = array([0,1,1j])
c.real
>array([0.0, 1.0, 0.0], 'd')

c.imag
>array([0.0, 0.0, 1.0], 'd')

#init = "from multiarray import *\nm = array([(5,2,6,9,3,4,1,0), (8,0,1,3,6,2,0,4)])"
#sorts = [("sort(m)", array([(0,1,2,3,4,5,6,9),(0,0,1,2,3,4,6,8)], 'l') ),
#    ("argmax(m)[1]", array([3,0], 'l') ),
#    ("argmin(m)[1]", array([7,1], 'l') ),
#    ]
#do_eval(sorts, initialize = init)



#sort and argsort need axis

a = arange(6)

#from Guido
a[...]
>array([0, 1, 2, 3, 4, 5], 'l')

array([None])
>array([None], 'O')

zeros( (2,), 'O')
>array([0, 0], 'O')

#from Janne
b = array(a)
b[0] = 66
a[0]
>0

zeros((-5,))
>exceptions.ValueError: negative dimensions are not allowed

arange(5,3,2)
>array([], 'l')

minimum.reduce()
>exceptions.TypeError: function requires at least 1 argument; 0 given

minimum.reduceat()
>exceptions.TypeError: function requires exactly 2 arguments; 0 given

b = array([[1, 2, 3, 4], [5, 6, 7, 8]]*2)

diagonal(b)
>array([1, 6, 3, 8], 'l')

diagonal(b, -1)
>array([5, 2, 7], 'l')

c = array([b,b])

diagonal(c, 1)
>array([[2, 7, 4], [2, 7, 4]], 'l')

#From Carlos
b[1:1].shape
>(0, 4)

b[1:1,:].shape
>(0, 4)

b[10:]
>zeros((0,4))

b[10:, :]
>zeros((0,4))

b[2:10]
>array([[1, 2, 3, 4], [5, 6, 7, 8]], 'l')

b[2:10, ...]
>array([[1, 2, 3, 4], [5, 6, 7, 8]], 'l')

1/array(0)
>exceptions.ZeroDivisionError: divide by zero

#1/array(0.)
#Machine dependent value, just hope there's no system crash on this
#>1.#INF

#Tim Hochberg

choose((0,1,2),([1,1,1],[2,2,2]))
>exceptions.ValueError: invalid entry in choice array

where((0,1,2), [1,1,1],[2,2,2])
>array([2, 1, 1], 'l')

divmod(array([2,1]), array([1,2]))
>(array([2, 0], 'l'), array([0, 1], 'l'))

4l*arange(1,3)
>array([4L, 8L], 'O')

arange(3L)
>array([0L, 1L, 2L], 'O')

# Test of the exception-raising comparisons
# david ascher - march 16, 1998
x = array([1,2])
y = array([1,2])
z = array([1,2,3])
x < y
>exceptions.TypeError: Comparison of multiarray objects is not implemented.
x == z
>exceptions.TypeError: Comparison of multiarray objects is not implemented.
cmp(y,z)
>exceptions.TypeError: Comparison of multiarray objects is not implemented.
# Test of fromfunction
fromfunction(add, (2,2))
>array([[0, 1],[1, 2]])