How do I convert a stereo wav to mono - language-agnostic

If I already have the wav data in two arrays (left channel & right channel) how does one go about to converting them to a single mono array?
Is there a function f so that Mono[x] = f(L[x],R[x]) ?

Mixing is the average of the two channels.
f_mono = function(l, r) {
return (l + r) / 2;
}

Just take an average of both value.

Related

Converting Arduino compass signal to useable heading

Background
I bought an Arduino magnetometer/compass with a QMC5883 chip from Amazon, however the bearing output I'm getting doesn't tally with the calculations I've found online. The serial output seems to be plausible (sinusoids with a phase difference of 90°), but the numbers I'm getting for the calculated bearing don't match what they are supposed to. I stored the serial output as a .csv file to graph the magnetometer response when turned through 360° in Excel:
Response was roughly as expected - Z remaining roughly steady (apart from a few wobbles caused by the cable!), X and Y varying sinusoidaly through 360°. (Bear in mind I couldn't turn the magnetometer at a constant speed with my hand which is why the curves are so unsteady).
However below is the graph of what heading was calculated; results were supposed to be between -180° and +180°:
As you can see it only varies around -60° to -160°, and each bearing reading is not unique as it is given by two different rotations of the magnetometer. The specific calculation in the code used (in full at the bottom) is:
bearing =180*atan2(y,x)/3.141592654; //values will range from +180 to -180°
bearing +=0-(19/60); //Adjust for local magnetic declination
Question
I can't figure out what's wrong with the calculation as it is used in a few different sources, and I would like to know how to convert the readings I'm getting to a usable range which is one to one instead of many to one, such as -180° to +180° or 0° to 360°.
Here is the code:
//There are several differences between the QMC5883L and the HMC5883L chips
//Differences in address: 0x0D for QMC5883L; 0x1E for HMC5883L
//Differences in register map (compare datasheets)
//Output data register differences include location of x,y,z and MSB and LSB for these parameters
//Control registers are also different (so location and values for settings change)
#include <Wire.h> //I2C Arduino Library
#define addr 0x0D //I2C Address for The QMC5883L (0x1E for HMC5883)
double scale=1.0;
void setup() {
// double scaleValues[9]={0.00,0.73,0.92,1.22,1.52,2.27,2.56,3.03,4.35};
// scale=scaleValues[2];
//initialize serial and I2C communications
Serial.begin(9600);
Wire.begin();
Wire.beginTransmission(addr); //start talking to slave
Wire.write(0x0B);
Wire.write(0x01);
Wire.endTransmission();
Wire.beginTransmission(addr); //start talking to slave
Wire.write(0x09);
Wire.write(0x1D);
Wire.endTransmission();
}
void loop() {
int x, y, z; //triple axis data
//Tell the QMC what regist to begin writing data into
Wire.beginTransmission(addr);
Wire.write(0x00); //start with register 00H for QMC5883L
Wire.endTransmission();
double bearing=0.00;
//Read the data.. 2, 8 bit bytes for each axis.. 6 total bytes
Wire.requestFrom(addr, 6);
//read 6 registers in order; register location (i.e.00H)indexes by one once read
if (6 <= Wire.available()) {
//note the order of following statements matters
//as each register will be read in sequence starting from data register 00H to 05H
//where order is xLSB,xMSB,yLSB,yMSB,zLSB,zMSB
//this is different from HMC5883L!
//data registers are 03 to 08
//where order is xMSB,xLSB,zMSB,zLSB,yMSB,yLSB
x = Wire.read(); //LSB x;
x |= Wire.read()<<8; //MSB x; bitshift left 8, then bitwise OR to make "x"
// x*=scale;
y = Wire.read(); //LSB y
y |= Wire.read()<<8; //MSB y;
// y*=scale;
z = Wire.read(); //LSB z; irrelevant for compass
z |= Wire.read()<<8; //MSB z;
// z*=scale;
bearing =180*atan2(y,x)/3.141592654;//values will range from +180 to -180 degrees
bearing +=0-(19/60);//Adjust for local magnetic declination
}
// Show Values
//Serial.print("X:");
Serial.print(x);
//Serial.print(" Y: ");
Serial.print(",");
Serial.print(y);
//Serial.print(" Z: ");
Serial.print(",");
Serial.print(z);
//Serial.print(" B: ");
Serial.print(",");
Serial.println(bearing);
delay(500);
}
For others reading this question:
The OP forgot to implement a x,y,z smoothing and an out of scope value removal. How this can be achieved and how its done look into the source code of this QMC5883 compass library:
QMC5883L Compass is an Arduino library for using QMC5583L series chip boards as a compass.
It supports:
Getting values of XYZ axis.
Calculating Azimuth.
Getting 16 point Azimuth bearing direction (0 - 15).
Getting 16 point Azimuth bearing Names (N, NNE, NE, ENE, E, ESE, SE, SSE, S, SSW, SW, WSW, W, WNW, NW, NNW)
Smoothing of XYZ readings via rolling averaging and min / max removal.

julia JSON.parse losing type information

I just started to learn julia but I have this issue:
I am trying to use julia's JSON.parse to parse a matrix (a list of coordinates) but it is losing the type information.
coords = JSON.parse("[[1.0,-2.0],[3.0,4.0],[5.0,-1.2]]")
it is returning the Any type instead of the Float type:
3-element Array{Any,1}:
{1.0,-2.0}
{3.0,4.0}
{5.0,-1.2}
How do i get (or convert this) to an Array of floats?
Edit.
Here is the larger problem:
taxi_df = readtable("./test.csv")
coords = [JSON.parse(x) for x in taxi_df[:POLYLINE]]
times = [float(length(x)*15) for x in coords]
df_submission = DataFrame()
df_submission[:TRIP_ID] = taxi_df[:TRIP_ID]
mean_time = mean(times)
df_submission[:TRAVEL_TIME] = [max(x, mean_time) for x in times]
writetable("submission.csv", df_submission)
I think its doing that in the first place because that data is a list-of-lists in JSON, so it can't convert to a matrix.
You can do
float(hcat(coords...))
if those are columns, or
float(hcat(coords...))'
if they are rows. If efficiency is critical for this code, can also just preallocate the output matrix and use a for loop, e.g.
A = zeros(3,2)
for i in 1:3, j in 1:2
#inbounds A[i,j] = coords[i][j]
end

how to see/extract model flows evolution when solve a model in a Scilab function?

I wrote the Lotka Voterra model (prey-predator) as a Scilab function and solved it with ODE. My problem is that I want to see the flows evolution. I found a solution by including flows in the resolution (in the script below only for one) but it’s really “heavy”. Anyone has a better solution?
//parameters
x=[0.04,0.005,0.3,0.2]
n = x(1);//birth rate of prey
c = x(2);//capture rate
e = x(3);//energy from capture
m = x(4);//death rate or predator
Tmax=100; // maximum time of simulation
dt=0.01; // step of time
t=0:dt:Tmax; //simulation time definition
Ci = [20,30,0]'; //initial conditions (including for 1 flow)
//Lotka Volterra model
function [dy]=LV(t, y, n, c, e, m)
GrowthP = n * y(1)
IngestC = c * y(1) * y(2)
MortC = m * y(2)
dy(1) = GrowthP - IngestC
dy(2) = IngestC * e - MortC
dy(3) = IngestC //here one flow in ode
endfunction
//resolution
sol=ode(Ci,0,t,LV)
//dataframe creation to stock data
soldef=zeros(3,10001);
//for the line 3 and form 2 to the last data it take the value,
//remove the one of the previous time step and store it in soldef
for i = 2:length(sol(3,:))
soldef(3,i)=sol(3,i)-sol(3,i-1);
end
//complete the dataframe with the stock
soldef(1:2,:)=sol(1:2,:)
Thanks for the interest and the time you give to my problem (and sorry for my English)
If you want animated display of your results, you can use the code below to plot more and more data on a graph:
[row,col]=size(soldef);
scf(0);
clf(0);
plot2d(soldef(:,1:2)',rect=[0,0,col,max(soldef)]); //plot first 2 points
en=gce(); //handle of the graphic entities
for i=3:col //plot more and more points
en.children(1).data=[1:i;soldef(3,1:i)]'; //update data matrices
en.children(2).data=[1:i;soldef(2,1:i)]';
en.children(3).data=[1:i;soldef(1,1:i)]';
//you can save the frames here...
xpause(1e4); //wait some time if amination is too fast
end
If you save all the graphs (with e.g.xs2gif()), with an external application (google for "gif maker") you can even make a .gif animation of your results to embedd in a webpage or presentation.

Creating a function from a 2D array in MATLAB (For use in ode45)

I am a first time MATLAB user. I have a 2d array of t vs f in MATLAB. This 2d array correponds to a function, say f(t). I am using ode45 to solve a set of differential equations and f(t) is one of the coefficients i.e. I have a set of equations of the form x'(t)=f(t)x(t) or variations thereof. How do I proceed?
I need a way to convert my array of t vs f into a function that can be used in the ode45 method. Presumably, the conversion will do some linear interpolation and give me the equation of the best fit curve.
Or if there is another approach, I'm all ears!
Thank you!
This is a simple example with passing function as a parameter to right hand side of the ODE. Create files in the same directory and run main
main.m
t = 0:0.2:10; f = sin(t);
fun = #(xc) interp1(t, f, xc);
x0=0.5
% solve diff(x, t)=sin(t)
% pass function as parameter
[tsol, xsol] = ode45(#(t, x) diff_rhs(t, x, fun),[0.0 8.0], 0.5);
% we solve equation dx/dt = sin(x), x(0)=x0
% exact solution is x(t) = - cos(t) + x(0) + 1
plot(tsol, xsol, 'x');
hold on
plot(tsol, -cos(tsol) + x0 + 1, '-');
legend('numerical', 'exact');
diff_rhs.m
function dx = diff_rhs(t, x, fun)
dx = fun(t);
end
References in the documentation: interp1 and anonymous Functions.

Haskell: "how much" of a type should functions receive? and avoiding complete "reconstruction"

I've got these data types:
data PointPlus = PointPlus
{ coords :: Point
, velocity :: Vector
} deriving (Eq)
data BodyGeo = BodyGeo
{ pointPlus :: PointPlus
, size :: Point
} deriving (Eq)
data Body = Body
{ geo :: BodyGeo
, pict :: Color
} deriving (Eq)
It's the base datatype for characters, enemies, objects, etc. in my game (well, I just have two rectangles as the player and the ground right now :p).
When a key, the characters moves right, left or jumps by changing its velocity. Moving is done by adding the velocity to the coords. Currently, it's written as follows:
move (PointPlus (x, y) (xi, yi)) = PointPlus (x + xi, y + yi) (xi, yi)
I'm just taking the PointPlus part of my Body and not the entire Body, otherwise it would be:
move (Body (BodyGeo (PointPlus (x, y) (xi, yi)) wh) col) = (Body (BodyGeo (PointPlus (x + xi, y + yi) (xi, yi)) wh) col)
Is the first version of move better? Anyway, if move only changes PointPlus, there must be another function that calls it inside a new Body. I explain: there's a function update which is called to update the game state; it is passed the current game state, a single Body for now, and returns the updated Body.
update (Body (BodyGeo (PointPlus xy (xi, yi)) wh) pict) = (Body (BodyGeo (move (PointPlus xy (xi, yi))) wh) pict)
That tickles me. Everything is kept the same within Body except the PointPlus. Is there a way to avoid this complete "reconstruction" by hand? Like in:
update body = backInBody $ move $ pointPlus body
Without having to define backInBody, of course.
You're looking for "lenses". There are several different packages for lenses; here is a good summary of them.
My understanding is that a lens on a data type a for some field b provides two operations: a way to get the value of b and a way to get a new a with a different value of b. So you would just use a lens to work with the deeply nested PointPlus.
The lens packages provide useful functions for working with lenses as well as ways of generating lenses automatically (with template Haskell) which could be very convenient.
I think they are worth looking into for your project, especially because you are likely to encounter similar problems with nesting in other places thanks to the structure of your data types.