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{
"cells": [
{
"cell_type": "code",
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"metadata": {
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"outputs": [],
"source": [
"%matplotlib notebook\n",
"\n",
"import matplotlib.pyplot as plt\n",
"from IPython.display import Image"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Introdução ao filtro de Kalman\n",
"\n",
"1. Criado por Rudolph E. Kalman em 1960\n",
"2. Desenvolvido inicialmente como uma solução recursiva para filtragem linear de dados discretos.\n",
"3. Utiliza equações matemáticas que implementam um estimador preditivo de estados, buscando corrigir interativamente a resposta de um determinado sistema através de multiplas variáveis relacionadas a ele.\n",
"4. Aplicado a Sistemas de Inferências, processamento de imagens, supervisor de eventos discretos."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"1. Considere a medição de temperatura de uma sala. \n",
"2. Nesse caso, um sensor pode fornecer a temperatura $t=30$\n",
"3. Sabemos que um sensor terá uma determinada precisão, ou seja, toda media de valor envolve algum grau de erro.\n",
"4. Imagine que um fabricante diga que, para uma determinada faixa de temperatura, o erro do sensor é de 5 graus.\n",
"5. Ou seja, 5 graus acima ou abaixo.\n",
"6. Assim a temperatura anterior pode estar entre $25^{o}$ e $35^{o}$."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"1. Vamos chamar o erro de ruído, assim, podemos definir\n",
" - <center> $Temperatura_{observada} = temperatura_{medida}+ruido$</center>\n",
"2. Em alguns tipos de sistema, o estado atual de uma variável é dependente do seu estado anterior.\n",
"3. Nesse caso, podemos estimar o valor atual, baseado no valor anterior.\n",
"4. Por exemplo, sabendo que a temperatura está decaindo 70% a cada medição, temos:\n",
" - <center> $Temperatura_{prevista} = temperatura_{anterior}\\times 0.7+ruido$</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"1. Agora temos duas equações, uma para o estado real do sistema e outra com o estado previsto:\n",
" - <center> $Temperatura_{observada} = temperatura_{medida}+ruido$</center>\n",
" - <center> $Temperatura_{prevista} = temperatura_{anterior}\\times 0.7+ruido$</center>\n",
"2. O Filtro de Kalman servirá para integrarmos estas duas equações de modo a prover uma estimativa adequada, com baixo valor de ruído, dentro do possível.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Quando utilizar\n",
"\n",
"1. Possibilidade de obter medições sobre um determinado evento a uma taxa constante\n",
"2. As medidas têm um erro que segue uma distribuição normal (erro gaussiano).\n",
"3. A matemática que regula a situação é conhecida\n",
"4. O processo que será medido pode ser descrito como um sistema linear\n",
"5. Busca-se uma estimativa do que está realmente acontecendo."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Uma visão geral do filtro de Kalman\n",
"\n",
"1. Vamos assumir o filtro de Kalman para uma única variável.\n",
"2. Vamos considerar três etapas distintas para o filtro:\n",
" - Cálculo do Ganho de Kalman\n",
" - Cálculo do Estado Atual\n",
" - Cáculo do Novo Erro na Estimativa"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Cálculo do Ganho de Kalman\n",
"1. O Ganho de Kalman é a importância relativa ao erro associado ao valor estimado e o erro associado à medição, com relação a variável.\n",
"2. Assumindo:\n",
" - <center>$K = \\frac{ruido_{estimativa}}{ruido_{estimativa}+ruido_{medicao}}$</center>\n",
"3. $K$ - ganho de Kalman\n",
"4. $ruido_{estimativa}$ - erro da estimativa\n",
"5. $ruido_{medicao}$ - erro da medição\n",
"6. Quando $K$ próximo de 1, as medições são acuradas e a estimativa instável. $K$ próximo de zero, as medições são inacuradas e as estimativas estáveis"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Cálculo do Estado Atual\n",
"1. Considerando o estado anterior, o Ganho de Kalman e a medição mais atual obtida de uma variável, a estimativa do valor atual do sistema será:\n",
" -<center>$estado_{atual} = estado_{anterior}+K(medicao-estado_{anterior})$</center>\n",
"2. $estado_{atual}$ - estimativa do estado atual do sistema\n",
"3. $estado_{anterior}$ - estivativa do estado anterior\n",
"4. $K$ - Ganho de Kalman\n",
"5. $medicao$ - medição mais atual do sistema"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Calcular o novo erro na estimativa\n",
"1. A partir do estado atual da variável, calcula-se o novo erro que serve novamente de entrada para o Ganho de Kalman.\n",
" - <center>$ruido_{atual} = (1 - K)ruido_{anterior}$</center>\n",
"3. $ruido_{atual}$ - erro atual\n",
"4. $K$ - Ganho de Kalman calculado anteriormente\n",
"5. $ruido_{anterior}$ - erro do estado anterior do sistema"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Exemplos\n",
"1. Considere as seguintes condições:\n",
" - Temperatura real: ?\n",
" - Temperatura inicial estimada: 28 $^{o}C$\n",
" - Erro na estimativa: $\\pm 2 ^{0}C$\n",
" - Medição inicial: 32 $^{o}C$\n",
" - Erro na medição: $\\pm 1 ^{o}C$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.67 30.67 0.67\n"
]
}
],
"source": [
"def ganho_kalman(erro_estimado, erro_medicao):\n",
" k = erro_estimado / (erro_estimado + erro_medicao)\n",
" return k\n",
"\n",
"def estado_atual(estado_anterior, k, medicao):\n",
" est_atual = estado_anterior + k * (medicao - estado_anterior)\n",
" return est_atual\n",
"\n",
"def ruido_atual(erro_anterior, k):\n",
" erro_atual = (1-k) * erro_anterior\n",
" return erro_atual\n",
" \n",
"estado_inicial = 28\n",
"medida = 32\n",
"erro_estimado = 2\n",
"erro_medido = 1\n",
"\n",
"k = ganho_kalman(erro_estimado, erro_medido)\n",
"estado_a = estado_atual(estado_inicial, k, medida)\n",
"erro_a = ruido_atual(erro_estimado, k)\n",
"print(round(k, 2), round(estado_a, 2), round(erro_a, 2))\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Exercício:\n",
"\n",
"\n",
"1. Considere os seguintes valores:\n",
" - Temperatura real: ?\n",
" - Temperatura inicial estimada: 28$^{o}$\n",
" - Erro na estimativa: $\\pm 2^{o}$\n",
" - Medições: 32$^{o}$, 35$^{o}$, 33$^{o}$\n",
" - Erro na medição $\\pm$ 1$^{o}$\n",
"2. Use as equações anteriores para calcular a temperatura real, assumindo que as medições foram obidas em sequências."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Modelo Multidimensional\n",
"\n",
"1. Casos reais normalmente envolvem mais de uma variável.\n",
"2. Nesse caso, tabralhar com matrizes ajuda no processo de cálculo.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Matriz de Estado\n",
"\n",
"1. Em Filtro de Kalman, o Estado do Sistema é um conjunto de variáveis que iremos analisar do sistema de acordo com nossa conveniência.\n",
"2. A matriz de estado será representada po $X$\n",
"3. Por exemplo, considere um objeto se movendo a velocidade constante, nesse caso temos interesse em conhecer a posição $x$ e a velocidade $\\dot{x}$.\n",
" - <center> $X = \\begin{bmatrix} x \\\\ \\dot{x} \\end{bmatrix}$</center>\n",
"4. OBS: $\\dot{x} = \\frac{dx}{dt}$ - Derivada primeira da posição com relação ao tempo - velocidade."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"1. Para um objeto que se mova num ambiente bidimensional (x-y):\n",
" - <center> $X = \\begin{bmatrix} x \\\\ y \\\\ \\dot{x} \\\\ \\dot{y} \\end{bmatrix}$</center>\n",
"2. Em 3D\n",
" - <center> $X = \\begin{bmatrix} x \\\\ y \\\\ z\\\\ \\dot{x} \\\\ \\dot{y} \\\\ \\dot{z}\\end{bmatrix}$</center>\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Matriz de Covariância\n",
"1. Tem como objetivo calcular o erro na estimativa do estado\n",
"2. É produzido pela combinação da variância do erro das estimativas\n",
"3. Exemplos:\n",
" - <center> 1D: $P = \\begin{bmatrix}\\sigma_{x}^{2} \\end{bmatrix}$</center> \n",
" <br>\n",
" <br>\n",
" - <center> 2D: $P = \\begin{bmatrix}\n",
" \\sigma_{x}^{2} & \\sigma_{x}\\sigma_{y}\\\\\n",
" \\sigma_{y}\\sigma_{x} & \\sigma_{y}^{2}\n",
" \\end{bmatrix}$\n",
" </center> \n",
" <br>\n",
" <br>\n",
" - <center> 2D: $P = \\begin{bmatrix}\n",
" \\sigma_{x}^{2} & \\sigma_{x}\\sigma_{y} & \\sigma_{x}\\sigma_{z} \\\\\n",
" \\sigma_{y}\\sigma_{x} & \\sigma_{y}^{2} & \\sigma_{y}\\sigma_{z} \\\\\n",
" \\sigma_{z}\\sigma_{x} & \\sigma_{z}\\sigma_{y} & \\sigma_{z}^{2} \n",
" \\end{bmatrix}$\n",
" </center> \n",
" <br>\n",
" <br>\n",
"4. $\\sigma_{x}^{2}$ - é a variância de uma determinada variável $x$\n",
"5. $\\sigma_{x}\\sigma_{y}$ - é a covariância entre duas variáveis $x$ e $y$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"#### Exercício\n",
"1. Calcule a matrix de covariância para um objeto que se move ao longo do eixo $x$ com as seguintes características:\n",
" - $x_{0} = 50$ com variância de $0,5m$\n",
" - $v_{0} = 5 $ ms$^{-1}$ com variância de $0,2$ms$^{-1}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Construíndo o modelo\n",
"1. $X$ é a matriz de estado, representando as variáves que serão analizadas\n",
"2. $P$ é a matriz de covariância do processo (que representa o erro das estimativas do sistema)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Etapara de predição\n",
"\n",
"1. Estitamtiva do novo estado do sistema:\n",
" <center>$X_{est} = AX_{k-1}+Bu_{k}+w_{k}$</center>\n",
"2. $X_{est}$ - estado atual\n",
"3. $X_{k-1}$ - EStado anterior\n",
"4. $u_{k}$ - Sinal de controlo\n",
"5. $w_{k}$ - Ruído do processo\n",
"6. $A$ e $B$ são, respectivamente, matriz de transição e matriz de controle."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"1. Estitamtiva da nova matriz de covariância:\n",
"<center>$P_{k}=AP_{k-1}A^{T}+Q_{k}$</center>\n",
"2. $Q$ matriz de covariância do ruído do processo\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Estimativa do estado do sistema\n",
"1. Considere que desejamos rastrear o comportamento de um objeto no tempo.\n",
"2. A expressão para o deslocamento é:\n",
"<center>$x = x_{0} + v_{0}t+\\frac{1}{2}a_{0}t^{2}$</center>\n",
"<br>\n",
"<br>\n",
"<center>$v{_x} = v_{0}t+a_{0}t$</center>\n",
"<br>\n",
"<br>\n",
"<center>$a_{x} = a_{0}$</center>\n",
"<br>\n",
"<br>\n",
"3. Na forma matricial:\n",
" - <center> $\\begin{bmatrix} x \\\\ v_{x} \\\\ a_{x} \\end{bmatrix} = \n",
" \\begin{bmatrix}\n",
" 1 & t & \\frac{1}{2}t^{2} \\\\\n",
" 0 & 1 & t \\\\\n",
" 0 & 0 & 1\n",
" \\end{bmatrix}\\begin{bmatrix} x_{0} \\\\ v_{0} \\\\ a_{0} \\end{bmatrix}$\n",
" </center> \n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"1. Estamos interessados nas variáveis $x$ e $\\dot{x}$, nesse caso, para o filto de Kalman temos:\n",
"<br>\n",
"<br>\n",
"<center>$A = \\begin{bmatrix}\n",
" 1 & t \\\\ \n",
" 0 & 1 \\\\\n",
" \\end{bmatrix}$</center>\n",
"<br>\n",
"<br>\n",
"2. A componente $Bu_{k}$ expressa a matriz de controle, que determina como o estado da variável se modifica. $B$ é o modelo de controle e $u_{k}$ é a variável de controle. No nosso caso, estão relacionados com a aceleração do sistema:\n",
"<br>\n",
"<br>\n",
"<center>$B = \\begin{bmatrix} \\frac{1}{2}t^{2} \\\\ t \\end{bmatrix}$</center>\n",
"<br>\n",
"<br>\n",
"<center>$u = \\begin{bmatrix} a \\end{bmatrix}$</center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"1. A equação de predição para o filtro de Kalman será:\n",
" <center>$X_{atual} = AX_{anterior}+Bu+w$</center>\n",
" <br>\n",
" <br>\n",
" <center>$X_{atual} = \\begin{bmatrix}\n",
" 1 & t \\\\ \n",
" 0 & 1 \n",
" \\end{bmatrix} \\begin{bmatrix}\n",
" x \\\\ \n",
" \\dot{x}\n",
" \\end{bmatrix}+\\begin{bmatrix} \\frac{1}{2}t^{2} \\\\ t \\end{bmatrix}\\begin{bmatrix} a \\end{bmatrix}+w$</center>\n",
"2. O componente $w$ representa o ruído do processo.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"#### Exercício\n",
"1. Expresse A, B e u para um sistema 3D.\n",
"2. Considere o lançamento de um projétil. Desprezando a resistência do ar, temos que as equações do movimento são:\n",
"<center> $x = x_{0}+v_{0}t$;</center>\n",
"<br>\n",
"<br>\n",
"<center>$y = y_{0}+v_{0}t - \\frac{1}{2}gt^{2}$</center>\n",
"<br>\n",
"<br>\n",
"Escreva a equação de $A$, $B$ e $u$ para esse novo sistema. Escreva a equação de previsão, para o filtro de Kalman.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Etapa de Correção:\n",
"1. Calculamos o Ganho de Kalman:\n",
"<br>\n",
"<br>\n",
"<center>$K = \\frac{P_{k}H}{HP_{k}H^{T}+R}$</center>\n",
"<br>\n",
"<br>\n",
" - Com $H$ sendo a matriz de observações e $R$ a matriz de covariância de erro no sensor\n",
"2. Em seguida, atualizam-se os valores atuais do sistema utiliando os dados de medição:\n",
"<br>\n",
"<br>\n",
"<center>$X_{k}=X_{est}+K(Y-HX_{est})$</center>\n",
"<br>\n",
"<br>\n",
" -Com $Y=CX_{med}+z$, em que $X_{med}$ é a medição, $z$ é o erro na medição. $C$ será:\n",
" <br>\n",
" <br>\n",
" - <center>$C = \\begin{bmatrix} 1 & 0 \\end{bmatrix}$</center> se estivermos observando apenas a posição da variável $X$;\n",
" <br>\n",
" <br>\n",
" - <center>$C = \\begin{bmatrix} 0 & 1 \\end{bmatrix}$</center> se estivermos observando apenas a velocidade da variável $X$;\n",
" <br>\n",
" <br>\n",
" - <center>$C = \\begin{bmatrix} 1 & 0 \\\\ 0 & 1\\end{bmatrix}$</center> para medição 1D;\n",
" \n",
"3. Em terceiro lugar, atualizam-se os valores da matriz covariância:\n",
"<center>$P_{k} = (I-KH)P_{est}$</center>\n",
"<br>\n",
"<br>\n",
"sendo $I$ a matriz identidade."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Implementação das equação do filtro de Kalman em Python\n",
"1. Previsão: \n",
" <center>$X_{atual} = AX_{anterior}+Bu+w$</center>\n",
"2. Previsão da covariância:\n",
"<center>$P_{k}=AP_{k-1}A^{T}+Q_{k}$</center>\n",
"3. Ganho de Kalman\n",
"<center>$K = \\frac{P_{k}H}{HP_{k}H^{T}+R}$</center>\n",
"4. Matrix de observação\n",
"<center>$Y=CX_{med}+z$</center>\n",
"5. Estado novo:\n",
"<center>$X_{k}=X_{est}+K(Y-HX_{est})$</center>\n",
"6. Nova matriz de covariância\n",
"<center>$P_{k} = (I-KH)P_{est}$</center>\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"from numpy import array, dot\n",
"from numpy import linalg\n",
"\n",
"def previsao(A, B, X_prev, u, w):\n",
" X_atual = dot(A, X_prev) + dot(B, u) + w\n",
" return X_atual\n",
"\n",
"def privisao_covariancia(A, P, D):\n",
" P = dot(dot(dot(A, P),A.transpose()),D)\n",
" return P\n",
"\n",
"def ganho_de_kalman(H, R, P):\n",
" S = dot(dot(H, P), H.transpose()) + R\n",
" invS = linalg.inv(S)\n",
" K = dot(dot(P, H.transpose()),invS)\n",
" return K\n",
"\n",
"def observacoes(n, X, H):\n",
" Z = array([n])\n",
" Y = Z.transpose() - dot(H, X)\n",
" return Y\n",
"\n",
"def novo_estado(Y, x, K):\n",
" x = x + dot(K,Y)\n",
" return x\n",
"\n",
"def nova_covariancia(P, I, K, H):\n",
" P0 = I - dot(K, H)\n",
" P = dot(P0,P)\n",
" return P"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Kalman Filter Example- (x)(x')\n",
"One-diretional car - (x)(x')\n",
"--------------------------------------\n"
]
}
],
"source": [
"print (\"Kalman Filter Example- (x)(x')\")\n",
"print (\"One-diretional car - (x)(x')\")\n",
"print (\"--------------------------------------\")\n",
"\n",
"measurements = [[20,5], # (x)(x')- 0 s\n",
" [34,10], # (x)(x')- 1 s\n",
" [45,11], # (x)(x')- 2 s\n",
" [60,15], # (x)(x')- 3 s\n",
" [70,16], # (x)(x')- 4 s\n",
" [80,14], # (x)(x')- 5 s\n",
" [95,20]] # (x)(x')- 6 s\n",
"\n",
"##Initial Conditions \n",
"\n",
"dt = 1 # time lapse \n",
"a = 2 # example acceleration (m/s^2) \n",
"sd_x = 2 # example standard-deviation for estimated position - x (m)\n",
"sd_v = 3 # example standard-deviation for estimated velocity - x' (m/s)\n",
"d_x = 1 # example standard-deviation for measured position - x (m)\n",
"d_v = 2 # example standard-deviation for measured velocity - x' (m/s)\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"##Matrices\n",
"###State Matrix\n",
"A = array([[1.,dt],\n",
" [0.,1.]]) \n",
"\n",
"B = array([[0.5* dt * dt],\n",
" [dt]])\n",
"\n",
"###Initial state \n",
"x = array([[0.],\n",
" [0.]])\n",
"\n",
"u = array([[a]])\n",
"\n",
"w = array([[0.],\n",
" [0.]])\n",
"\n",
"C = array([[1,0],\n",
" [0,0]])\n",
"\n",
"D = array([[1,0],\n",
" [0,1]])\n",
"\n",
"H = array([[1,0],\n",
" [0,1]])\n",
"\n",
"I = array([[1,0],\n",
" [0,1]])\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"### Predicted Process Covariance Matrix\n",
"\n",
"P = array([[sd_x*sd_x, 0],\n",
" [0, sd_v*sd_v]])\n",
"\n",
"### Measurement Covariance Matrix \n",
"\n",
"R = array([[d_x * d_x, 0],\n",
"[0, d_v * d_v]])\n",
"\n",
"prsao = []\n",
"crKalman = []\n",
"tempo = []\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [],
"source": [
"###Loop\n",
"for n in range(len(measurements)-1):\n",
" # Passo de Previsão\n",
" x = previsao(A, B, x, u, w) \n",
" P = privisao_covariancia(A,P,D)\n",
" prsao.append(x)\n",
" \n",
" # CPasso de Correção\n",
" \n",
" K = ganho_de_kalman(H,R,P)\n",
" Y = observacoes(measurements[n+1],x,H)\n",
" \n",
" x = novo_estado(Y,x,K)\n",
" P = nova_covariancia(P,I,K,H)\n",
" \n",
" crKalman.append(x)\n",
" tempo.append(n)\n",
"\n",
"crKalman = array(crKalman)\n",
"prsao = array(prsao)\n",
"tempo = array(tempo)\n",
"measurements = array(measurements)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"window.mpl = {};\n",
"\n",
"\n",
"mpl.get_websocket_type = function() {\n",
" if (typeof(WebSocket) !== 'undefined') {\n",
" return WebSocket;\n",
" } else if (typeof(MozWebSocket) !== 'undefined') {\n",
" return MozWebSocket;\n",
" } else {\n",
" alert('Your browser does not have WebSocket support.' +\n",
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
" 'Firefox 4 and 5 are also supported but you ' +\n",
" 'have to enable WebSockets in about:config.');\n",
" };\n",
"}\n",
"\n",
"mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
" this.id = figure_id;\n",
"\n",
" this.ws = websocket;\n",
"\n",
" this.supports_binary = (this.ws.binaryType != undefined);\n",
"\n",
" if (!this.supports_binary) {\n",
" var warnings = document.getElementById(\"mpl-warnings\");\n",
" if (warnings) {\n",
" warnings.style.display = 'block';\n",
" warnings.textContent = (\n",
" \"This browser does not support binary websocket messages. \" +\n",
" \"Performance may be slow.\");\n",
" }\n",
" }\n",
"\n",
" this.imageObj = new Image();\n",
"\n",
" this.context = undefined;\n",
" this.message = undefined;\n",
" this.canvas = undefined;\n",
" this.rubberband_canvas = undefined;\n",
" this.rubberband_context = undefined;\n",
" this.format_dropdown = undefined;\n",
"\n",
" this.image_mode = 'full';\n",
"\n",
" this.root = $('<div/>');\n",
" this._root_extra_style(this.root)\n",
" this.root.attr('style', 'display: inline-block');\n",
"\n",
" $(parent_element).append(this.root);\n",
"\n",
" this._init_header(this);\n",
" this._init_canvas(this);\n",
" this._init_toolbar(this);\n",
"\n",
" var fig = this;\n",
"\n",
" this.waiting = false;\n",
"\n",
" this.ws.onopen = function () {\n",
" fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
" fig.send_message(\"send_image_mode\", {});\n",
" if (mpl.ratio != 1) {\n",
" fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
" }\n",
" fig.send_message(\"refresh\", {});\n",
" }\n",
"\n",
" this.imageObj.onload = function() {\n",
" if (fig.image_mode == 'full') {\n",
" // Full images could contain transparency (where diff images\n",
" // almost always do), so we need to clear the canvas so that\n",
" // there is no ghosting.\n",
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
" }\n",
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
" };\n",
"\n",
" this.imageObj.onunload = function() {\n",
" fig.ws.close();\n",
" }\n",
"\n",
" this.ws.onmessage = this._make_on_message_function(this);\n",
"\n",
" this.ondownload = ondownload;\n",
"}\n",
"\n",
"mpl.figure.prototype._init_header = function() {\n",
" var titlebar = $(\n",
" '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
" 'ui-helper-clearfix\"/>');\n",
" var titletext = $(\n",
" '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
" 'text-align: center; padding: 3px;\"/>');\n",
" titlebar.append(titletext)\n",
" this.root.append(titlebar);\n",
" this.header = titletext[0];\n",
"}\n",
"\n",
"\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._init_canvas = function() {\n",
" var fig = this;\n",
"\n",
" var canvas_div = $('<div/>');\n",
"\n",
" canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
"\n",
" function canvas_keyboard_event(event) {\n",
" return fig.key_event(event, event['data']);\n",
" }\n",
"\n",
" canvas_div.keydown('key_press', canvas_keyboard_event);\n",
" canvas_div.keyup('key_release', canvas_keyboard_event);\n",
" this.canvas_div = canvas_div\n",
" this._canvas_extra_style(canvas_div)\n",
" this.root.append(canvas_div);\n",
"\n",
" var canvas = $('<canvas/>');\n",
" canvas.addClass('mpl-canvas');\n",
" canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
"\n",
" this.canvas = canvas[0];\n",
" this.context = canvas[0].getContext(\"2d\");\n",
"\n",
" var backingStore = this.context.backingStorePixelRatio ||\n",
"\tthis.context.webkitBackingStorePixelRatio ||\n",
"\tthis.context.mozBackingStorePixelRatio ||\n",
"\tthis.context.msBackingStorePixelRatio ||\n",
"\tthis.context.oBackingStorePixelRatio ||\n",
"\tthis.context.backingStorePixelRatio || 1;\n",
"\n",
" mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband = $('<canvas/>');\n",
" rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
"\n",
" var pass_mouse_events = true;\n",
"\n",
" canvas_div.resizable({\n",
" start: function(event, ui) {\n",
" pass_mouse_events = false;\n",
" },\n",
" resize: function(event, ui) {\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" stop: function(event, ui) {\n",
" pass_mouse_events = true;\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" });\n",
"\n",
" function mouse_event_fn(event) {\n",
" if (pass_mouse_events)\n",
" return fig.mouse_event(event, event['data']);\n",
" }\n",
"\n",
" rubberband.mousedown('button_press', mouse_event_fn);\n",
" rubberband.mouseup('button_release', mouse_event_fn);\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband.mousemove('motion_notify', mouse_event_fn);\n",
"\n",
" rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
" rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
"\n",
" canvas_div.on(\"wheel\", function (event) {\n",
" event = event.originalEvent;\n",
" event['data'] = 'scroll'\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" mouse_event_fn(event);\n",
" });\n",
"\n",
" canvas_div.append(canvas);\n",
" canvas_div.append(rubberband);\n",
"\n",
" this.rubberband = rubberband;\n",
" this.rubberband_canvas = rubberband[0];\n",
" this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
" this.rubberband_context.strokeStyle = \"#000000\";\n",
"\n",
" this._resize_canvas = function(width, height) {\n",
" // Keep the size of the canvas, canvas container, and rubber band\n",
" // canvas in synch.\n",
" canvas_div.css('width', width)\n",
" canvas_div.css('height', height)\n",
"\n",
" canvas.attr('width', width * mpl.ratio);\n",
" canvas.attr('height', height * mpl.ratio);\n",
" canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
"\n",
" rubberband.attr('width', width);\n",
" rubberband.attr('height', height);\n",
" }\n",
"\n",
" // Set the figure to an initial 600x600px, this will subsequently be updated\n",
" // upon first draw.\n",
" this._resize_canvas(600, 600);\n",
"\n",
" // Disable right mouse context menu.\n",
" $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
" return false;\n",
" });\n",
"\n",
" function set_focus () {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('<div/>')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" // put a spacer in here.\n",
" continue;\n",
" }\n",
" var button = $('<button/>');\n",
" button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
" 'ui-button-icon-only');\n",
" button.attr('role', 'button');\n",
" button.attr('aria-disabled', 'false');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
"\n",
" var icon_img = $('<span/>');\n",
" icon_img.addClass('ui-button-icon-primary ui-icon');\n",
" icon_img.addClass(image);\n",
" icon_img.addClass('ui-corner-all');\n",
"\n",
" var tooltip_span = $('<span/>');\n",
" tooltip_span.addClass('ui-button-text');\n",
" tooltip_span.html(tooltip);\n",
"\n",
" button.append(icon_img);\n",
" button.append(tooltip_span);\n",
"\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" var fmt_picker_span = $('<span/>');\n",
"\n",
" var fmt_picker = $('<select/>');\n",
" fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
" fmt_picker_span.append(fmt_picker);\n",
" nav_element.append(fmt_picker_span);\n",
" this.format_dropdown = fmt_picker[0];\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = $(\n",
" '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
" fmt_picker.append(option)\n",
" }\n",
"\n",
" // Add hover states to the ui-buttons\n",
" $( \".ui-button\" ).hover(\n",
" function() { $(this).addClass(\"ui-state-hover\");},\n",
" function() { $(this).removeClass(\"ui-state-hover\");}\n",
" );\n",
"\n",
" var status_bar = $('<span class=\"mpl-message\"/>');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"}\n",
"\n",
"mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
"}\n",
"\n",
"mpl.figure.prototype.send_message = function(type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"}\n",
"\n",
"mpl.figure.prototype.send_draw_message = function() {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
" }\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1]);\n",
" fig.send_message(\"refresh\", {});\n",
" };\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
" var x0 = msg['x0'] / mpl.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
" var x1 = msg['x1'] / mpl.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0, 0, fig.canvas.width, fig.canvas.height);\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch(cursor)\n",
" {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_message = function(fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message(\"ack\", {});\n",
"}\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function(fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = \"image/png\";\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src);\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data);\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
" else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig[\"handle_\" + msg_type];\n",
" } catch (e) {\n",
" console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
" }\n",
" }\n",
" };\n",
"}\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function(e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e)\n",
" e = window.event;\n",
" if (e.target)\n",
" targ = e.target;\n",
" else if (e.srcElement)\n",
" targ = e.srcElement;\n",
" if (targ.nodeType == 3) // defeat Safari bug\n",
" targ = targ.parentNode;\n",
"\n",
" // jQuery normalizes the pageX and pageY\n",
" // pageX,Y are the mouse positions relative to the document\n",
" // offset() returns the position of the element relative to the document\n",
" var x = e.pageX - $(targ).offset().left;\n",
" var y = e.pageY - $(targ).offset().top;\n",
"\n",
" return {\"x\": x, \"y\": y};\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys (original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object')\n",
" obj[key] = original[key]\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function(event, name) {\n",
" var canvas_pos = mpl.findpos(event)\n",
"\n",
" if (name === 'button_press')\n",
" {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {x: x, y: y, button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event)});\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"}\n",
"\n",
"mpl.figure.prototype.key_event = function(event, name) {\n",
"\n",
" // Prevent repeat events\n",
" if (name == 'key_press')\n",
" {\n",
" if (event.which === this._key)\n",
" return;\n",
" else\n",
" this._key = event.which;\n",
" }\n",
" if (name == 'key_release')\n",
" this._key = null;\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which != 17)\n",
" value += \"ctrl+\";\n",
" if (event.altKey && event.which != 18)\n",
" value += \"alt+\";\n",
" if (event.shiftKey && event.which != 16)\n",
" value += \"shift+\";\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, {key: value,\n",
" guiEvent: simpleKeys(event)});\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
" if (name == 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message(\"toolbar_button\", {name: name});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
"\n",
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function() {\n",
" comm.close()\n",
" };\n",
" ws.send = function(m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function(msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data'])\n",
" });\n",
" return ws;\n",
"}\n",
"\n",
"mpl.mpl_figure_comm = function(comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = $(\"#\" + id);\n",
" var ws_proxy = comm_websocket_adapter(comm)\n",
"\n",
" function ondownload(figure, format) {\n",
" window.open(figure.imageObj.src);\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy,\n",
" ondownload,\n",
" element.get(0));\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element.get(0);\n",
" fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
" if (!fig.cell_info) {\n",
" console.error(\"Failed to find cell for figure\", id, fig);\n",
" return;\n",
" }\n",
"\n",
" var output_index = fig.cell_info[2]\n",
" var cell = fig.cell_info[0];\n",
"\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
" var width = fig.canvas.width/mpl.ratio\n",
" fig.root.unbind('remove')\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable()\n",
" $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
" fig.close_ws(fig, msg);\n",
"}\n",
"\n",
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"}\n",
"\n",
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width/mpl.ratio\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message(\"ack\", {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('<div/>')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items){\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) { continue; };\n",
"\n",
" var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
" var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
" buttongrp.append(button);\n",
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
" titlebar.prepend(buttongrp);\n",
"}\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(el){\n",
" var fig = this\n",
" el.on(\"remove\", function(){\n",
"\tfig.close_ws(fig, {});\n",
" });\n",
"}\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
" // this is important to make the div 'focusable\n",
" el.attr('tabindex', 0)\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" }\n",
" else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager)\n",
" manager = IPython.keyboard_manager;\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which == 13) {\n",
" this.canvas_div.blur();\n",
" event.shiftKey = false;\n",
" // Send a \"J\" for go to next cell\n",
" event.which = 74;\n",
" event.keyCode = 74;\n",
" manager.command_mode();\n",
" manager.handle_keydown(event);\n",
" }\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" fig.ondownload(fig, null);\n",
"}\n",
"\n",
"\n",
"mpl.find_output_cell = function(html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i=0; i<ncells; i++) {\n",
" var cell = cells[i];\n",
" if (cell.cell_type === 'code'){\n",
" for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
" var data = cell.output_area.outputs[j];\n",
" if (data.data) {\n",
" // IPython >= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] == html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"}\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel != null) {\n",
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
"}\n"
],
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"<IPython.core.display.Javascript object>"
]
},
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},
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\" width=\"640\">"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f7182c5c7b8>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt.title(\"Previsão da Posição com o Tempo.\")\n",
"plt.plot(tempo, prsao[:,0], label='Previsão')\n",
"plt.plot(tempo, crKalman[:,0], label='Kalman')\n",
"plt.plot(tempo, measurements[1:,0], '.', label='Medido')\n",
"plt.legend()\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"window.mpl = {};\n",
"\n",
"\n",
"mpl.get_websocket_type = function() {\n",
" if (typeof(WebSocket) !== 'undefined') {\n",
" return WebSocket;\n",
" } else if (typeof(MozWebSocket) !== 'undefined') {\n",
" return MozWebSocket;\n",
" } else {\n",
" alert('Your browser does not have WebSocket support.' +\n",
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
" 'Firefox 4 and 5 are also supported but you ' +\n",
" 'have to enable WebSockets in about:config.');\n",
" };\n",
"}\n",
"\n",
"mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
" this.id = figure_id;\n",
"\n",
" this.ws = websocket;\n",
"\n",
" this.supports_binary = (this.ws.binaryType != undefined);\n",
"\n",
" if (!this.supports_binary) {\n",
" var warnings = document.getElementById(\"mpl-warnings\");\n",
" if (warnings) {\n",
" warnings.style.display = 'block';\n",
" warnings.textContent = (\n",
" \"This browser does not support binary websocket messages. \" +\n",
" \"Performance may be slow.\");\n",
" }\n",
" }\n",
"\n",
" this.imageObj = new Image();\n",
"\n",
" this.context = undefined;\n",
" this.message = undefined;\n",
" this.canvas = undefined;\n",
" this.rubberband_canvas = undefined;\n",
" this.rubberband_context = undefined;\n",
" this.format_dropdown = undefined;\n",
"\n",
" this.image_mode = 'full';\n",
"\n",
" this.root = $('<div/>');\n",
" this._root_extra_style(this.root)\n",
" this.root.attr('style', 'display: inline-block');\n",
"\n",
" $(parent_element).append(this.root);\n",
"\n",
" this._init_header(this);\n",
" this._init_canvas(this);\n",
" this._init_toolbar(this);\n",
"\n",
" var fig = this;\n",
"\n",
" this.waiting = false;\n",
"\n",
" this.ws.onopen = function () {\n",
" fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
" fig.send_message(\"send_image_mode\", {});\n",
" if (mpl.ratio != 1) {\n",
" fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
" }\n",
" fig.send_message(\"refresh\", {});\n",
" }\n",
"\n",
" this.imageObj.onload = function() {\n",
" if (fig.image_mode == 'full') {\n",
" // Full images could contain transparency (where diff images\n",
" // almost always do), so we need to clear the canvas so that\n",
" // there is no ghosting.\n",
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
" }\n",
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
" };\n",
"\n",
" this.imageObj.onunload = function() {\n",
" fig.ws.close();\n",
" }\n",
"\n",
" this.ws.onmessage = this._make_on_message_function(this);\n",
"\n",
" this.ondownload = ondownload;\n",
"}\n",
"\n",
"mpl.figure.prototype._init_header = function() {\n",
" var titlebar = $(\n",
" '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
" 'ui-helper-clearfix\"/>');\n",
" var titletext = $(\n",
" '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
" 'text-align: center; padding: 3px;\"/>');\n",
" titlebar.append(titletext)\n",
" this.root.append(titlebar);\n",
" this.header = titletext[0];\n",
"}\n",
"\n",
"\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._init_canvas = function() {\n",
" var fig = this;\n",
"\n",
" var canvas_div = $('<div/>');\n",
"\n",
" canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
"\n",
" function canvas_keyboard_event(event) {\n",
" return fig.key_event(event, event['data']);\n",
" }\n",
"\n",
" canvas_div.keydown('key_press', canvas_keyboard_event);\n",
" canvas_div.keyup('key_release', canvas_keyboard_event);\n",
" this.canvas_div = canvas_div\n",
" this._canvas_extra_style(canvas_div)\n",
" this.root.append(canvas_div);\n",
"\n",
" var canvas = $('<canvas/>');\n",
" canvas.addClass('mpl-canvas');\n",
" canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
"\n",
" this.canvas = canvas[0];\n",
" this.context = canvas[0].getContext(\"2d\");\n",
"\n",
" var backingStore = this.context.backingStorePixelRatio ||\n",
"\tthis.context.webkitBackingStorePixelRatio ||\n",
"\tthis.context.mozBackingStorePixelRatio ||\n",
"\tthis.context.msBackingStorePixelRatio ||\n",
"\tthis.context.oBackingStorePixelRatio ||\n",
"\tthis.context.backingStorePixelRatio || 1;\n",
"\n",
" mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband = $('<canvas/>');\n",
" rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
"\n",
" var pass_mouse_events = true;\n",
"\n",
" canvas_div.resizable({\n",
" start: function(event, ui) {\n",
" pass_mouse_events = false;\n",
" },\n",
" resize: function(event, ui) {\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" stop: function(event, ui) {\n",
" pass_mouse_events = true;\n",
" fig.request_resize(ui.size.width, ui.size.height);\n",
" },\n",
" });\n",
"\n",
" function mouse_event_fn(event) {\n",
" if (pass_mouse_events)\n",
" return fig.mouse_event(event, event['data']);\n",
" }\n",
"\n",
" rubberband.mousedown('button_press', mouse_event_fn);\n",
" rubberband.mouseup('button_release', mouse_event_fn);\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband.mousemove('motion_notify', mouse_event_fn);\n",
"\n",
" rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
" rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
"\n",
" canvas_div.on(\"wheel\", function (event) {\n",
" event = event.originalEvent;\n",
" event['data'] = 'scroll'\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" mouse_event_fn(event);\n",
" });\n",
"\n",
" canvas_div.append(canvas);\n",
" canvas_div.append(rubberband);\n",
"\n",
" this.rubberband = rubberband;\n",
" this.rubberband_canvas = rubberband[0];\n",
" this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
" this.rubberband_context.strokeStyle = \"#000000\";\n",
"\n",
" this._resize_canvas = function(width, height) {\n",
" // Keep the size of the canvas, canvas container, and rubber band\n",
" // canvas in synch.\n",
" canvas_div.css('width', width)\n",
" canvas_div.css('height', height)\n",
"\n",
" canvas.attr('width', width * mpl.ratio);\n",
" canvas.attr('height', height * mpl.ratio);\n",
" canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
"\n",
" rubberband.attr('width', width);\n",
" rubberband.attr('height', height);\n",
" }\n",
"\n",
" // Set the figure to an initial 600x600px, this will subsequently be updated\n",
" // upon first draw.\n",
" this._resize_canvas(600, 600);\n",
"\n",
" // Disable right mouse context menu.\n",
" $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
" return false;\n",
" });\n",
"\n",
" function set_focus () {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('<div/>')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" // put a spacer in here.\n",
" continue;\n",
" }\n",
" var button = $('<button/>');\n",
" button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
" 'ui-button-icon-only');\n",
" button.attr('role', 'button');\n",
" button.attr('aria-disabled', 'false');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
"\n",
" var icon_img = $('<span/>');\n",
" icon_img.addClass('ui-button-icon-primary ui-icon');\n",
" icon_img.addClass(image);\n",
" icon_img.addClass('ui-corner-all');\n",
"\n",
" var tooltip_span = $('<span/>');\n",
" tooltip_span.addClass('ui-button-text');\n",
" tooltip_span.html(tooltip);\n",
"\n",
" button.append(icon_img);\n",
" button.append(tooltip_span);\n",
"\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" var fmt_picker_span = $('<span/>');\n",
"\n",
" var fmt_picker = $('<select/>');\n",
" fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
" fmt_picker_span.append(fmt_picker);\n",
" nav_element.append(fmt_picker_span);\n",
" this.format_dropdown = fmt_picker[0];\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = $(\n",
" '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
" fmt_picker.append(option)\n",
" }\n",
"\n",
" // Add hover states to the ui-buttons\n",
" $( \".ui-button\" ).hover(\n",
" function() { $(this).addClass(\"ui-state-hover\");},\n",
" function() { $(this).removeClass(\"ui-state-hover\");}\n",
" );\n",
"\n",
" var status_bar = $('<span class=\"mpl-message\"/>');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"}\n",
"\n",
"mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
"}\n",
"\n",
"mpl.figure.prototype.send_message = function(type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"}\n",
"\n",
"mpl.figure.prototype.send_draw_message = function() {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
" }\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"}\n",
"\n",
"\n",
"mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1]);\n",
" fig.send_message(\"refresh\", {});\n",
" };\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
" var x0 = msg['x0'] / mpl.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
" var x1 = msg['x1'] / mpl.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0, 0, fig.canvas.width, fig.canvas.height);\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch(cursor)\n",
" {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_message = function(fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message(\"ack\", {});\n",
"}\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function(fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = \"image/png\";\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src);\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data);\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
" else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig[\"handle_\" + msg_type];\n",
" } catch (e) {\n",
" console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
" }\n",
" }\n",
" };\n",
"}\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function(e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e)\n",
" e = window.event;\n",
" if (e.target)\n",
" targ = e.target;\n",
" else if (e.srcElement)\n",
" targ = e.srcElement;\n",
" if (targ.nodeType == 3) // defeat Safari bug\n",
" targ = targ.parentNode;\n",
"\n",
" // jQuery normalizes the pageX and pageY\n",
" // pageX,Y are the mouse positions relative to the document\n",
" // offset() returns the position of the element relative to the document\n",
" var x = e.pageX - $(targ).offset().left;\n",
" var y = e.pageY - $(targ).offset().top;\n",
"\n",
" return {\"x\": x, \"y\": y};\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys (original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object')\n",
" obj[key] = original[key]\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function(event, name) {\n",
" var canvas_pos = mpl.findpos(event)\n",
"\n",
" if (name === 'button_press')\n",
" {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {x: x, y: y, button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event)});\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"}\n",
"\n",
"mpl.figure.prototype.key_event = function(event, name) {\n",
"\n",
" // Prevent repeat events\n",
" if (name == 'key_press')\n",
" {\n",
" if (event.which === this._key)\n",
" return;\n",
" else\n",
" this._key = event.which;\n",
" }\n",
" if (name == 'key_release')\n",
" this._key = null;\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which != 17)\n",
" value += \"ctrl+\";\n",
" if (event.altKey && event.which != 18)\n",
" value += \"alt+\";\n",
" if (event.shiftKey && event.which != 16)\n",
" value += \"shift+\";\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, {key: value,\n",
" guiEvent: simpleKeys(event)});\n",
" return false;\n",
"}\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
" if (name == 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message(\"toolbar_button\", {name: name});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
"\n",
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function() {\n",
" comm.close()\n",
" };\n",
" ws.send = function(m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function(msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data'])\n",
" });\n",
" return ws;\n",
"}\n",
"\n",
"mpl.mpl_figure_comm = function(comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = $(\"#\" + id);\n",
" var ws_proxy = comm_websocket_adapter(comm)\n",
"\n",
" function ondownload(figure, format) {\n",
" window.open(figure.imageObj.src);\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy,\n",
" ondownload,\n",
" element.get(0));\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element.get(0);\n",
" fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
" if (!fig.cell_info) {\n",
" console.error(\"Failed to find cell for figure\", id, fig);\n",
" return;\n",
" }\n",
"\n",
" var output_index = fig.cell_info[2]\n",
" var cell = fig.cell_info[0];\n",
"\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
" var width = fig.canvas.width/mpl.ratio\n",
" fig.root.unbind('remove')\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable()\n",
" $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
" fig.close_ws(fig, msg);\n",
"}\n",
"\n",
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"}\n",
"\n",
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width/mpl.ratio\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
"}\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function() {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message(\"ack\", {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
"}\n",
"\n",
"mpl.figure.prototype._init_toolbar = function() {\n",
" var fig = this;\n",
"\n",
" var nav_element = $('<div/>')\n",
" nav_element.attr('style', 'width: 100%');\n",
" this.root.append(nav_element);\n",
"\n",
" // Define a callback function for later on.\n",
" function toolbar_event(event) {\n",
" return fig.toolbar_button_onclick(event['data']);\n",
" }\n",
" function toolbar_mouse_event(event) {\n",
" return fig.toolbar_button_onmouseover(event['data']);\n",
" }\n",
"\n",
" for(var toolbar_ind in mpl.toolbar_items){\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) { continue; };\n",
"\n",
" var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
" button.click(method_name, toolbar_event);\n",
" button.mouseover(tooltip, toolbar_mouse_event);\n",
" nav_element.append(button);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
" nav_element.append(status_bar);\n",
" this.message = status_bar[0];\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
" var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
" buttongrp.append(button);\n",
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
" titlebar.prepend(buttongrp);\n",
"}\n",
"\n",
"mpl.figure.prototype._root_extra_style = function(el){\n",
" var fig = this\n",
" el.on(\"remove\", function(){\n",
"\tfig.close_ws(fig, {});\n",
" });\n",
"}\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
" // this is important to make the div 'focusable\n",
" el.attr('tabindex', 0)\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" }\n",
" else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"\n",
"}\n",
"\n",
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager)\n",
" manager = IPython.keyboard_manager;\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which == 13) {\n",
" this.canvas_div.blur();\n",
" event.shiftKey = false;\n",
" // Send a \"J\" for go to next cell\n",
" event.which = 74;\n",
" event.keyCode = 74;\n",
" manager.command_mode();\n",
" manager.handle_keydown(event);\n",
" }\n",
"}\n",
"\n",
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
" fig.ondownload(fig, null);\n",
"}\n",
"\n",
"\n",
"mpl.find_output_cell = function(html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i=0; i<ncells; i++) {\n",
" var cell = cells[i];\n",
" if (cell.cell_type === 'code'){\n",
" for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
" var data = cell.output_area.outputs[j];\n",
" if (data.data) {\n",
" // IPython >= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] == html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"}\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel != null) {\n",
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
"}\n"
],
"text/plain": [
"<IPython.core.display.Javascript object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<img src=\"data:image/png;base64,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\" width=\"640\">"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f7182929f98>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt.cla()\n",
"plt.title(\"Previsão da Velocidade com o Tempo.\")\n",
"plt.plot(tempo, prsao[:,1], label='Previsão')\n",
"plt.plot(tempo, crKalman[:,1], label='Kalman')\n",
"plt.plot(tempo, measurements[1:,1], '.', label='Medido')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Referências:\n",
"1. REVISTABW. Introdução ao Filtro de Kalman: Conceitos inicias. Revista Brasileira de Web: Tecnologia. Disponível em <http://www.revistabw.com.br/revistabw/kalman-conceitos-iniciais/>. Acessado em 31/08/2018"
]
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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