def kf_update(u, sigma, z):
F = np.matrix('1 1; 0 1')
H = np.matrix('0 1')
I = np.diag([1, 1])
#u_of_t : Previous state
#z_of_t : current measurement
#Sigma_x : movement uncertainty : G * G^T * little_sigma^2_x. Should be [deltaT^2 ; deltaT / 2] --> G [ 1 ; 1/2 ]
#Sigma_z : measurement uncertainty : little_sigma^2_z (std. deviation of measurement noise)
#Sigma : location uncertainty
#Calculate the Kalman gain
Fsigma_t = np.multiply(F, sigma)
Fsigma_tF_T = np.multiply(Fsigma_t, F.T)
G = np.matrix([1; .5])
GG_T = np.multiply(G, G.T)
Sigma_x = GG_T
K_tplus1 = (Fsigma_tF_T + )
#location mean information
Fmu_t = np.multiply(F, u)
HF = np.multipy(H, F)
HFmu_t = np.multiply(HF, u)
mu_tplus1 = Fmu_t + K_tplus1(z_tplus1 - HFmu_t)
print('u_tplus1 : {u_tplus1}\n'.format(u_tplus1=u_tplus1))
print('sigma : {sigma}\n'.format(sigma=sigma))
print('z : {z}\n'.format(z=z))
return [u, sigma]
def sigmoid_function(data, derivative=False): data = np.clip(data, -500, 500) data = expit(data) if derivative: return np.multipy(data, 1-data) else: return data
def SMA_CHANNEL(close, n, high_n, low_n):
sma = [np.mean(close[i:i + n]) for i in range(0, len(close) - n + 1)]
upper_channel = np.multipy(sma, high_n)
lower_channel = np.multiply(sma, low_n)
return (upper_channel, lower_channel)
def adaBoostTrainDs(dataArr,classLabels,numIt=40): weakClassArr = [] m = np.shape(dataArr)[0] D = np.mat(np.ones((m,1))) aggClassEst = np.mat(np.zeros((m,1))) for i in range(numIt): bestStump,error,classEst = buildStump(dataArr,classLabels,D) print "D:",D.T alpha = float(0.5*np.log((1.0-error)/max(error,1e-16))) bestStump['alpha'] = alpha weakClassArr.append(bestStump) print "classEst: ",classEst.T expon = np.multipy(-1*alpha*np.mat(classLabels).T,classEst) D = np.multipy(D,np.exp(expon)) D = D/D.sum() aggClassEst += alpha * classEst print "aggClassEst: ",aggClassEst.T aggErrors = np.multipy(sign(aggClassEst) != np.mat(classLabels).T,np.ones((m,1))) errorRate = aggErrors.sum()/m print "total error: ",errorRate,"\n" if errorRate == 0.0: break return weakClassArr
def inverse_transform(self, data):
"""
Performs an inverse transform on the data using
the params stored
params:
data: a normalized numpy array
returns:
full_data: a denormalized numpy array
"""
copy = np.copy(data)
(mean, std) = self.params.get('1d')
copy = np.multipy(copy, std, where=std!=0)
copy += mean
return copy
def times(a, b):
"""
Multiply a by b.
Parameters
----------
a : `numpy.ndarray`
Array one.
b : `numpy.ndarray`
Array two
Returns
-------
result : `numpy.ndarray`
``a`` multiplied by ``b``
"""
return np.multipy(a, b)
def updateOutput(self, input):
# Your code goes here. ################################################
self.output = np.add(np.multiply(input > 0, input),
np.multipy(input <= 0, self.alpha * np.exp(input) - self.alpha))
def multiply(a, b):
return np.multipy(a, b)
def multiply(a, b):
return np.multipy(a, b)
import numpy as np
from I_Rainfall import I_RainDoY
import config
I_MultiplierEvapoTrans = [
np.zeros(config.SUBCATCHMENT) for i in range(config.MONTH)
]
I_EvapoTrans = [0 for i in range(config.MONTH)]
I_FracArea = np.multipy(I_FracVegClassNow, I_RelArea)
I_TimeEvap = 0 if I_RainDoY == 0 else 365 if I_RainDoY % 365 == 0 else I_RainDoY % 365
I_MoY = 0 if I_RainDoY == 0 else int(I_TimeEvap / 30.5) + 1
if config.I_EvapotransMethod == 1:
I_PotEvapTransp = np.multily(
I_EvapoTrans[I_MoY],
np.multiply(I_MultiplierEvapoTrans[I_MoY], I_FracArea))
else:
I_PotEvapTransp = np.multiply(
I_Daily_Evapotrans, np.multiply(MultiplierEvapoTrans, I_FracArea))
I_MaxInfSubSAreaClass = config.I_MaxInfSSoil * I_FracArea
I_MaxInfArea = config.I_MaxInf * np.multiply(
I_FracArea,
np.power(
np.divide(0.7,
I_BD_BDRefVegNow,
out=np.zeros_like(I_BD_BDRefVegNow),
where=I_BD_BDRefVegNow != 0), config.I_PowerInfiltRed))
I_CanIntercAreaClass = np.multiply(I_InterceptClass, I_FracArea)
I_AvailWaterClass = (config.I_AvailWaterConst *
I_FracArea if config.I_SoilPropConst_ else np.multiply(
def lineSegmentIntersect(XY1, XY2):
#LINESEGMENTINTERSECT Intersections of line segments.
# OUT = LINESEGMENTINTERSECT(XY1,XY2) finds the 2D Cartesian Coordinates of
# intersection points between the set of line segments given in XY1 and XY2.
#
# XY1 and XY2 are N1x4 and N2x4 matrices. Rows correspond to line segments.
# Each row is of the form [x1 y1 x2 y2] where (x1,y1) is the start point and
# (x2,y2) is the end point of a line segment:
#
# Line Segment
# o--------------------------------o
# ^ ^
# (x1,y1) (x2,y2)
#
# OUT is a structure with fields:
#
# 'intAdjacencyMatrix' : N1xN2 indicator matrix where the entry (i,j) is 1 if
# line segments XY1(i,:) and XY2(j,:) intersect.
#
# 'intMatrixX' : N1xN2 matrix where the entry (i,j) is the X coordinate of the
# intersection point between line segments XY1(i,:) and XY2(j,:).
#
# 'intMatrixY' : N1xN2 matrix where the entry (i,j) is the Y coordinate of the
# intersection point between line segments XY1(i,:) and XY2(j,:).
#
# 'intNormalizedDistance1To2' : N1xN2 matrix where the (i,j) entry is the
# normalized distance from the start point of line segment XY1(i,:) to the
# intersection point with XY2(j,:).
#
# 'intNormalizedDistance2To1' : N1xN2 matrix where the (i,j) entry is the
# normalized distance from the start point of line segment XY1(j,:) to the
# intersection point with XY2(i,:).
#
# 'parAdjacencyMatrix' : N1xN2 indicator matrix where the (i,j) entry is 1 if
# line segments XY1(i,:) and XY2(j,:) are parallel.
#
# 'coincAdjacencyMatrix' : N1xN2 indicator matrix where the (i,j) entry is 1
# if line segments XY1(i,:) and XY2(j,:) are coincident.
# Version: 1.00, April 03, 2010
# Version: 1.10, April 10, 2010
# Author: U. Murat Erdem. This file is updated to do calculate intersections even faster by Hesham Eraqi.
#
# CHANGELOG:
#
#
# Ver. 1.00:
# -Initial release.
#
# Ver. 1.10:
# - Changed the input parameters. Now the function accepts two sets of line
# segments. The intersection analysis is done between these sets and not in
# the same set.
# - Changed and added fields of the output. Now the analysis provides more
# information about the intersections and line segments.
# - Performance tweaks.
# I opted not to call this 'curve intersect' because it would be misleading
# unless you accept that curves are pairwise linear constructs.
# I tried to put emphasis on speed by vectorizing the code as much as possible.
# There should still be enough room to optimize the code but I left those out
# for the sake of clarity.
# The math behind is given in:
# http://local.wasp.uwa.edu.au/~pbourke/geometry/lineline2d/
# If you really are interested in squeezing as much horse power as possible out
# of this code I would advise to remove the argument checks and tweak the
# creation of the OUT a little bit.
### Argument check.
#-------------------------------------------------------------------------------
#validateattributes(XY1,{'numeric'},{'2d','finite'})
#validateattributes(XY2,{'numeric'},{'2d','finite'})
[n_rows_1, n_cols_1] = numpy.size(XY1)
[n_rows_2, n_cols_2] = numpy.size(XY2)
if n_cols_1 != 4 or n_cols_2 != 4:
print('Arguments must be a Nx4 matrices.')
### Prepare matrices for vectorized computation of line intersection points.
#-------------------------------------------------------------------------------
X1 = repmat(XY1[:, 1], 1, n_rows_2)
X2 = repmat(XY1[:, 3], 1, n_rows_2)
Y1 = repmat(XY1[:, 2], 1, n_rows_2)
Y2 = repmat(XY1[:, 4], 1, n_rows_2)
XY2 = XY2
X3 = repmat(XY2[1, :], n_rows_1, 1)
X4 = repmat(XY2[3, :], n_rows_1, 1)
Y3 = repmat(XY2[2, :], n_rows_1, 1)
Y4 = repmat(XY2[4, :], n_rows_1, 1)
X4_X3 = (X4 - X3)
Y1_Y3 = (Y1 - Y3)
Y4_Y3 = (Y4 - Y3)
X1_X3 = (X1 - X3)
X2_X1 = (X2 - X1)
Y2_Y1 = (Y2 - Y1)
numerator_a = numpy.multiply(X4_X3, Y1_Y3) - numpy.multiply(Y4_Y3, X1_X3)
numerator_b = numpy.multiply(X2_X1, Y1_Y3) - numpy.multiply(Y2_Y1, X1_X3)
denominator = numpy.multiply(Y4_Y3, X2_X1) - numpy.multiply(X4_X3, Y2_Y1)
u_a = numpy.divide(numerator_a, denominator)
u_b = numpy.divide(numerator_b, denominator)
# Find the adjacency matrix A of intersecting lines.
INT_X = numpy.multiply(X1 + X2_X1, u_a)
INT_Y = numpy.multipy(Y1 + Y2_Y1, u_a)
INT_B = (u_a >= 0) & (u_a <= 1) & (u_b >= 0) & (u_b <= 1)
PAR_B = denominator == 0
COINC_B = (numerator_a == 0 & numerator_b == 0 & PAR_B)
# Arrange output.
out = [
INT_B,
numpy.multiply(INT_X, INT_B),
numpy.multipliy(INT_Y, INT_B), u_a, u_b, PAR_B, COINC_B
]
#intAdjacencyMatrix , intMatrixX , intMatrixY, intNormalizedDistance1To2, intNormalizedDistance2To1 , parAdjacencyMatrix , coincAdjacencyMatrix
return out
np.exp(a1) a1=np.inf a1=np.nan np.isnan(a1) a2[0]=90 a2[3]=89 a2.sort() np.insert(a2,1,67) a6.cumsum(axis=0) np.delete(a2,[3]) np.append(a2,[90,67,78]) a2[1].size() aaa=np.add(a2,a6) np.subtract(a2,a6) np.multipy() np.split(a,6) a2>20 af=a6.ravel() np.concatenate((aa,aaa), axis=1) #-------------------------------------------------------------------------- #PANDAS #--------------------------------------------- import pandas as pd import numpy as np labels=['a','b','c','d'] data=[10,20,30,40]
############## 演算
tf.add([1, 2], [3, 4])
tf.multiply(x, y) #要素積
tf.square(5) #25
tf.reduce_sum([1, 2, 3]) #->6, shape=はなし（整数）
#reshape
tf.reshape(x, (5, 5))
#キャスト
tf.cast(x, tf.float32)
############# numpyとの互換性
np.multipy(a, b)
tf.multiply(numpy, 3)
a.numpy() #->numpy型で返す
############# keras Layer
# Dot レイヤー
x = np.arange(10).reshape(1, 5, 2)
print(x.shape) #->(1,5,2)
y = np.arange(10, ).reshape(1, 2, 5)
print(y.shape) #-> (1,2,5)
dotted = tf.keras.layers.Dot(axes=(1, 2))(
[x, y]) #xのaxis=2(5次元ベクトル) と yのaxis=2(5次元ベクトル)の内積をとる
print(dotted.shape) #(1,2,2)
print(x)
print(y)
def output_torque( inertial_moment, radial_acceleration): return np.multipy( inertial_moment, radial_acceleration)