[chronojump] Added accelerometer code



commit 43bad7e255b8e71db530ef4690b3bbf42a064d99
Author: Xavier Padullés <x padulles gmail com>
Date:   Fri Feb 19 11:30:48 2016 +0100

    Added accelerometer code

 accelerometer/accelerometria.R               |  278 +++
 accelerometer/captures/.~lock.180_graus.txt# |    1 +
 accelerometer/captures/0.981m.csv            |  801 +++++++
 accelerometer/captures/old/180_graus.txt     | 2272 +++++++++++++++++++
 accelerometer/captures/old/calibra_x.txt     | 1722 +++++++++++++++
 accelerometer/captures/old/calibra_y.txt     | 1359 ++++++++++++
 accelerometer/captures/old/calibra_z.txt     | 1514 +++++++++++++
 accelerometer/captures/old/gir_y.csv         |  201 ++
 accelerometer/captures/old/gir_y.ods         |  Bin 0 -> 90580 bytes
 accelerometer/captures/old/lent.txt          | 3036 ++++++++++++++++++++++++++
 accelerometer/captures/old/moderat.txt       | 1431 ++++++++++++
 accelerometer/captures/old/rapid.txt         | 1229 +++++++++++
 12 files changed, 13844 insertions(+), 0 deletions(-)
---
diff --git a/accelerometer/accelerometria.R b/accelerometer/accelerometria.R
new file mode 100644
index 0000000..d68ad4f
--- /dev/null
+++ b/accelerometer/accelerometria.R
@@ -0,0 +1,278 @@
+# This file is part of ChronoJump
+# 
+# ChronoJump is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation; either version 2 of the License, or   
+# (at your option) any later version.
+#    
+# ChronoJump is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the 
+# GNU General Public License for more details.
+# 
+# You should have received a copy of the GNU General Public License
+# along with this program; if not, write to the Free Software
+# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+# 
+# Copyright (C) 2014-   Xavier Padullés <x padulles gmail com> 
+
+
+getAbsPosition <- function(data)
+{
+        #data <- calibrate(data)
+        #"Local" or "relative" means "in the reference of the the accelerometer axis"
+        #"Absolute" or "global" means "in the floor reference"
+        omega <- getOmega(data) #Read the data coming from the gyros
+        localRotation <- getLocalRotationQuaternion(omega) # Translate the local rotation in degrees per 
second to quaternions
+        localBasis <- getLocalBasis(localRotation) # Create a local basis expressed in the absolute basis. 
(200Hz)
+        relAccel <- getRelAcc(data) # Read data coming from the accelerometers
+        absAccel <- getAbsAcceleration(localBasis, relAccel) # Translate the local acceleration to the 
absolute acceleration
+        absSpeed <- getAbsSpeed(absAccel) # Integrate the acceleration to thet the speed
+        
+        #Read de absolute speed and integrate it to get the absolute position
+        abs_pos <- matrix(, ncol=3, nrow=length(absSpeed[,1]))
+        abs_pos[1,] <- c(0,0,0)
+        for (i in 2:length(absSpeed[,1])){
+                abs_pos[i,1] <- abs_pos[(i-1),1] + absSpeed[(i-1),1]/200
+                abs_pos[i,2] <- abs_pos[(i-1),2] + absSpeed[(i-1),2]/200
+                abs_pos[i,3] <- abs_pos[(i-1),3] + absSpeed[(i-1),3]/200
+        }
+        return(abs_pos)
+}
+
+getOmega <- function(data)
+{
+        #Reads the gyroscope values. Omega is the rotation expressed in the local axes of the accelerometer.
+        omega <- matrix(c(data$GYRO_X, data$GYRO_Y, data$GYRO_Z), ncol=3, byrow=FALSE)
+        return(omega)
+}
+
+getLocalRotationQuaternion <- function(omega)
+{
+        #Get the quaternions of the local rotations given by omega. Each column of omega is Wx, Wy, Wz in 
degrees
+        q <-  list(getRotationQuaternion(omega[1,1] , 1 , 0 , 0) * getRotationQuaternion(omega[1,2], 0 , 1 , 
0) * getRotationQuaternion(omega[1,3], 0 , 0 , 1))
+        for ( n in 2:nrow(omega))
+        {
+                q[[n]] <- getRotationQuaternion(omega[n,1] , 1 , 0 , 0) * getRotationQuaternion(omega[n,2], 
0 , 1 , 0) * getRotationQuaternion(omega[n,3], 0 , 0 , 1)
+        }
+        return(q)
+}
+
+getRotationQuaternion <- function(alpha,a,b,c)
+{
+        # Needs onion package
+        # Get the rotation quaternion given an axis of rotation (a, b, c) and an angle(alpha) in degrees
+        
+        #Divided by 2 and converted from degrees to radians
+        alphaRad <- alpha*pi/360
+        
+        w <- cos(alphaRad)
+        s <- sin(alphaRad)
+        x <- a*s
+        y <- b*s
+        z <- c*s
+        
+        #Normalization of the pure quaternion
+        
+        magnitude <- sqrt(w^2 + x^2 + y^2 + z^2)
+        w <- w/magnitude
+        x <- x/magnitude
+        y <- y/magnitude
+        z <- z/magnitude
+        
+        #returning the quaternion
+        q <- as.quaternion(matrix(c(w, x, y, z), byrow=FALSE))
+        return(q)
+}
+
+getLocalBasis <- function(localRotation)
+{
+        #Get the orientation of the basis given the local rotation quaternion obtained with the gyroscope.
+        #The basis is expressed in the global coordinate system
+        rotatedBasis <- list(diag(3))
+        for (n in 2:length(localRotation))
+        {
+                rotatedBasis[[n]] <- rotate(rotatedBasis[[n-1]], localRotation[[n-1]] / 200)
+        }
+        return(rotatedBasis)
+}
+
+getRelAcc <- function(dataAccelerometer)
+{
+        relAcc <- matrix(c(dataAccelerometer$ACC_X, dataAccelerometer$ACC_Y, dataAccelerometer$ACC_Z), 
ncol=3, byrow=FALSE)
+        return(relAcc)
+}
+
+getAbsAcceleration <- function(basis, relativeAccel)
+{
+        #Reads the relative acceleration (accelerometer refference) and the evolution of the axes
+        #and transform relative to absolute acceleration (ground refference)
+        
+        absoluteAccel <- list(matrix(relativeAccel[1,], ncol=3))
+        g <- matrix(c(0, 0, 1000), ncol=3)
+        for (i in 1:length(relativeAccel[,1])){
+                absoluteAccel[[i]] <- relativeAccel[i,] %*% basis[[i]] - g
+        }
+        return(matrix(unlist(absoluteAccel), ncol=3, byrow = TRUE))
+}
+
+getAbsSpeed <- function(absoluteAccel)
+{
+        #Read the absolute acceleration and integrate it to get the absolute velocity
+        absSpeed <- matrix(, ncol=3, nrow=length(absoluteAccel[,1]))
+        absSpeed[1,] <- c(0,0,0)
+        for (i in 2:length(absoluteAccel[,1])){
+                #Acceleration expressed in miliGravity, Sample rate = 200hz
+                absSpeed[i,1] <- absSpeed[(i-1),1] + absoluteAccel[(i-1),1] * (9.81 / 1000) / 200 
+                absSpeed[i,2] <- absSpeed[(i-1),2] + absoluteAccel[(i-1),2] * (9.81 / 1000) / 200
+                absSpeed[i,3] <- absSpeed[(i-1),3] + absoluteAccel[(i-1),3] * (9.81 / 1000) / 200
+        }
+        return(absSpeed)
+}
+
+drawPosition <- function(position)
+{
+        l <- length(position[,1])
+        aspect3d("iso")
+        i = diag(3)
+        points3d(position[1:l,], color=heat.colors(l)) #Color starts on red
+}
+
+drawQuaternion <- function (quaternion) 
+{
+        #Needs the rgl library. Needs some messa-dev linux packages
+        #Draws a quaternion in the direction of the rotating axis and the length of the cos(alpha/2)
+        aspect3d("iso")
+        i <- matrix(c(1,0,0,0,1,0,0,0,1), ncol=3, byrow=FALSE)
+        magnitude <- sqrt( Re(quaternion)^2 + i(quaternion)^2 + j(quaternion)^2 + k(quaternion)^2)
+        plot3d(i)
+        segments3d( c(0 , i(quaternion)*Re(quaternion)/magnitude), c(0 , 
j(quaternion)*Re(quaternion)/magnitude), c(0 , k(quaternion)*Re(quaternion)/magnitude), col="red")
+}
+
+
+calibrate <- function(accelerometer){
+        accelerometer$ACC_X <- accelerometer$ACC_X - getCalibration(accelerometer$ACC_X)[1]
+        accelerometer$ACC_Y <- accelerometer$ACC_Y - getCalibration(accelerometer$ACC_Y)[1]
+        accelerometer$ACC_Z <- accelerometer$ACC_Z - (getCalibration(accelerometer$ACC_Z)[1] - 1000)
+        accelerometer$GYRO_X <- accelerometer$GYRO_X - getCalibration(accelerometer$GYRO_X)[1]
+        accelerometer$GYRO_Y <- accelerometer$GYRO_Y - getCalibration(accelerometer$GYRO_Y)[1]
+        accelerometer$GYRO_Z <- accelerometer$GYRO_Z - getCalibration(accelerometer$GYRO_Z)[1]
+        return(accelerometer)
+}
+
+getCalibration <- function(data)
+{
+        #Reads the 200 first values (1s) and the last 200 last values and try to calculate the offset.
+        calibration <- c(mean(data[1:200]), mean(data[(length(data)-200):(length(data))]))
+        return(calibration)
+}
+
+drawBasis <- function(p0, basis){
+        #open3d()
+        #axes3d(xlab="X", ylab="Y", zlab="Z")
+        lim = c(-1,1)
+#         x = plot3d(c(p0[1], p0[1] + basis[1,1]), c(p0[2], p0[2] + basis[1,2]), c(p0[3], p0[3] + 
basis[1,3]), type="l")
+#         y = plot3d(c(p0[1], p0[1] + basis[2,1]), c(p0[2], p0[2] + basis[2,2]), c(p0[3], p0[3] + 
basis[2,3]), type="l")
+#         z = plot3d(c(p0[1], p0[1] + basis[3,1]), c(p0[2], p0[2] + basis[3,2]), c(p0[3], p0[3] + 
basis[3,3]), xlim = lim, , ylim = lim , zlim = lim, xlab = "X", ylab="Y", zlab="Z", type="l")
+        
+#        for(i in 1:length(basis)){
+                 segments3d(c(p0[1], p0[1] + basis[1,1]), c(p0[2], p0[2] + basis[1,2]), c(p0[3], p0[3] + 
basis[1,3]), color=2)
+                 segments3d(c(p0[1], p0[1] + basis[2,1]), c(p0[2], p0[2] + basis[2,2]), c(p0[3], p0[3] + 
basis[2,3]), color=3)
+                 segments3d(c(p0[1], p0[1] + basis[3,1]), c(p0[2], p0[2] + basis[3,2]), c(p0[3], p0[3] + 
basis[3,3]), color=4)
+#                 Sys.sleep(0.002)
+#                 rgl.pop(type="shapes", id= x)
+#                 rgl.pop(type="shapes", id= y)
+#                 rgl.pop(type="shapes", id= z)
+#         }
+}
+
+drawAcceleration <- function(p0, acceleration){
+        lim = c(-max(abs(acceleration)), max(abs(acceleration)))
+         #x = plot3d(c(0,i[1,1]), c(0,i[1,2]), c(0,i[1,3]), xlim = lim, , ylim = lim , zlim = lim, type="l")
+         #y = plot3d(c(0,i[2,1]), c(0,i[2,2]), c(0,i[2,3]), xlim = lim, , ylim = lim , zlim = lim, type="l")
+         #z = plot3d(c(0,i[3,1]), c(0,i[3,2]), c(0,i[3,3]), xlim = lim, , ylim = lim , zlim = lim, xlab = 
"X", ylab="Y", zlab="Z", type="l")
+        
+        segments3d(c(p0[1], p0[1] + acceleration[1]), c(p0[2], p0[2] + acceleration[2]), c(p0[3], p0[3] + 
acceleration[3]), color=5)
+}
+
+drawAll <- function(data, n){
+        open3d()
+        i = diag(3)
+        omega <- getOmega(data) #Read the data coming from the gyros
+        localRotation <- getLocalRotationQuaternion(omega) # Translate the local rotation in degrees per 
second to quaternions
+        localBasis <- getLocalBasis(localRotation) # Create a local basis expressed in the absolute basis. 
(200Hz)
+        relAccel <- getRelAcc(data) # Read data coming from the accelerometers
+        absAccel <- getAbsAcceleration(localBasis, relAccel) # Translate the local acceleration to the 
absolute acceleration
+        absAccel = absAccel / 1000
+        position = getAbsPosition(data)
+        lim = c(-max(abs(absAccel)), max(abs(absAccel)))
+        plot3d(c(0,i[1,1]), c(0,i[1,2]), c(0,i[1,3]), xlim = lim, , ylim = lim , zlim = lim, type="l")
+        plot3d(c(0,i[2,1]), c(0,i[2,2]), c(0,i[2,3]), xlim = lim, , ylim = lim , zlim = lim, xlab = "X", 
ylab="Y", zlab="Z", type="l")
+        #plot3d(c(0,i[3,1]), c(0,i[3,2]), c(0,i[3,3]), xlim = lim, , ylim = lim , zlim = lim, xlab = "X", 
ylab="Y", zlab="Z", type="l")
+        drawPosition(position)
+        
+        p = length(position[,1]) %/% n
+        
+        #drawBasis(position[1,], localBasis[[1]])
+        drawAcceleration(position[1,],absAccel[1,])
+        for (i in 1:n){
+                drawBasis(position[i*p,], localBasis[[i*p]] / 10)
+                drawAcceleration(position[i*p,],absAccel[i*p,])  
+                #drawAcceleration(position[i*p,],relAccel[i*p,])    
+        }
+}
+
+correctSignal <- function(signal, s){
+        #see Giansanti, D.; Maccioni, G.; Macellari, V. Guidelines for Calibration and Drift Compensation of 
a
+        #Wearable Device with Rate-Gyroscopes and Accelerometers. In Proceedings of 29th Annual
+        #International Conference of the IEEE Engineering in Medicine and Biology Society, Shanghai,
+        #China, 1–4 September 2007; pp. 2342–2345.
+        
+        # s is a matrix with the six measures of the three axis. Measures in columns, axis in rows.
+        # l is the matrix with the supposed values.
+        
+        g = 1000
+        l = matrix(c(-g, 0, 0, g, 0, 0, 0, -g, 0, 0, g, 0, 0, 0, -g, 0, 0, g), ncol=6)
+        c = l %*% t(s) %*% (solve(s %*% t(s)))
+        return(signal %*% c)
+}
+
+######### Not used#################
+# getAbsoluteRotationQuaternion <- function(localRotation)
+# {
+#   #Given the local rotation quaternions obtained with the Gyroscope returns the total global rotation
+#   
+#   q <- localRotation[1]
+#   for (n in 2:length(localRotation))
+#   {
+#     q <-  c(q, localRotation[n] * q[n-1])
+#     #print(q[n])
+#   }
+#   return(q)
+# }
+
+drawRelative2D <- function(data)
+{
+        data <- data *0.00981 #miliG to ms^2
+        
+        png("drawRelative2D.png",width=600, height=400)
+        plot(data$ACC_X, ylim=c(-11, 11), type ="l", col="red",
+             xlab="Temps (ms)", ylab="Acceleració (m/s^2)",
+             main="Acceleracions 3D relatives al llarg del temps")
+        legend("topright", c("X","Y","Z"), col=c("red","green","blue"),lty=1,lwd=1)
+        lines(data$ACC_Y, col="green")
+        lines(data$ACC_Z, col="blue")
+        abline(v=c(200,300,400,600), lty=2)
+        mtext("A",side=3, at=100)
+        mtext("B",side=3, at=250)
+        mtext("C",side=3, at=350)
+        mtext("D",side=3, at=500)
+        mtext("E",side=3, at=700)
+        dev.off()
+}
+
+setwd("ownCloud/Xavier/Chronojump/Accelerometre/")
+data = read.csv("captures/0.981m.csv", sep = ",", dec = ",")
+
+drawRelative2D(data)
+getwd()
diff --git a/accelerometer/captures/.~lock.180_graus.txt# b/accelerometer/captures/.~lock.180_graus.txt#
new file mode 100644
index 0000000..d8d32d0
--- /dev/null
+++ b/accelerometer/captures/.~lock.180_graus.txt#
@@ -0,0 +1 @@
+Xavier Padullés,xpadulles,Padutatil,02.10.2015 09:50,file:///home/xpadulles/.config/libreoffice/4;
\ No newline at end of file
diff --git a/accelerometer/captures/0.981m.csv b/accelerometer/captures/0.981m.csv
new file mode 100644
index 0000000..c11fb8b
--- /dev/null
+++ b/accelerometer/captures/0.981m.csv
@@ -0,0 +1,801 @@
+ACC_X,ACC_Y,ACC_Z,MAG_X,MAG_Y,MAG_Z, GYRO_X,GYRO_Y,GYRO_Z,COUNT
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diff --git a/accelerometer/captures/old/180_graus.txt b/accelerometer/captures/old/180_graus.txt
new file mode 100644
index 0000000..e68a2c7
--- /dev/null
+++ b/accelerometer/captures/old/180_graus.txt
@@ -0,0 +1,2272 @@
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diff --git a/accelerometer/captures/old/calibra_x.txt b/accelerometer/captures/old/calibra_x.txt
new file mode 100644
index 0000000..b4d2ff9
--- /dev/null
+++ b/accelerometer/captures/old/calibra_x.txt
@@ -0,0 +1,1722 @@
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diff --git a/accelerometer/captures/old/calibra_y.txt b/accelerometer/captures/old/calibra_y.txt
new file mode 100644
index 0000000..c9fe126
--- /dev/null
+++ b/accelerometer/captures/old/calibra_y.txt
@@ -0,0 +1,1359 @@
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diff --git a/accelerometer/captures/old/calibra_z.txt b/accelerometer/captures/old/calibra_z.txt
new file mode 100644
index 0000000..01bd720
--- /dev/null
+++ b/accelerometer/captures/old/calibra_z.txt
@@ -0,0 +1,1514 @@
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diff --git a/accelerometer/captures/old/gir_y.csv b/accelerometer/captures/old/gir_y.csv
new file mode 100644
index 0000000..4025691
--- /dev/null
+++ b/accelerometer/captures/old/gir_y.csv
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diff --git a/accelerometer/captures/old/gir_y.ods b/accelerometer/captures/old/gir_y.ods
new file mode 100644
index 0000000..a542846
Binary files /dev/null and b/accelerometer/captures/old/gir_y.ods differ
diff --git a/accelerometer/captures/old/lent.txt b/accelerometer/captures/old/lent.txt
new file mode 100644
index 0000000..bcc7dc0
--- /dev/null
+++ b/accelerometer/captures/old/lent.txt
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diff --git a/accelerometer/captures/old/moderat.txt b/accelerometer/captures/old/moderat.txt
new file mode 100644
index 0000000..24cdc78
--- /dev/null
+++ b/accelerometer/captures/old/moderat.txt
@@ -0,0 +1,1431 @@
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diff --git a/accelerometer/captures/old/rapid.txt b/accelerometer/captures/old/rapid.txt
new file mode 100644
index 0000000..548c132
--- /dev/null
+++ b/accelerometer/captures/old/rapid.txt
@@ -0,0 +1,1229 @@
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