Lsode throwing INTDY-- T (=R1) ILLEGAL and invalid input detected - matlab

I have my function:
function [result] = my_func(x,y)
result = y^2*(1-3*x)-3*y;
endfunction
Also, my vector with Ts, my function address and my initial variable x_0
load file_with_ts
# Add my limits as I also want to calculate those
# (all values in file_with_ts are within those limits.)
t_points = [-1, file_with_ts, 2]
myfunc = str2func("my_func")
x_0 = 0.9142
I am trying to execute the following line:
lsode_d1 = lsode(myfunc, x_0, t_points)
And expecting a result, but getting the following error:
INTDY-- T (=R1) ILLEGAL
In above message, R1 = 0.7987082301475D+00
T NOT IN INTERVAL TCUR - HU (= R1) TO TCUR (=R2)
In above, R1 = 0.8091168896311D+00 R2 = 0.8280400838323D+00
LSODE-- TROUBLE FROM INTDY. ITASK = I1, TOUT = R1
In above message, I1 = 1
In above message, R1 = 0.7987082301475D+00
error: lsode: invalid input detected (see printed message)
error: called from
main at line 20 column 10
Also, the variable sizes are:
x_0 -> 1x1
t_points -> 1x153
myfunc -> 1x1
I tried transposing the t_points vector
using #my_func instead of the str2func function
I tried adding multiple variables as the starting point (instead of x_0 I entered [x_0; x_1])
Tried changing my function header from my_func(x, y) to my_func(y, x)
Read the documentation and confirmed that my_func allows x to be a vector and returns a vector (whenever x is a vector).
EDIT: T points is the following 1x153 matrix (with -1 and 2 added to the beggining and the end respectively):
-4.9451e-01
-4.9139e-01
-4.7649e-01
-4.8026e-01
-4.6177e-01
-4.5412e-01
-4.4789e-01
-4.2746e-01
-4.1859e-01
-4.0983e-01
-4.0667e-01
-3.8436e-01
-3.7825e-01
-3.7150e-01
-3.5989e-01
-3.5131e-01
-3.4875e-01
-3.3143e-01
-3.2416e-01
-3.1490e-01
-3.0578e-01
-2.9267e-01
-2.9001e-01
-2.6518e-01
-2.5740e-01
-2.5010e-01
-2.4017e-01
-2.3399e-01
-2.1491e-01
-2.1067e-01
-2.0357e-01
-1.8324e-01
-1.8112e-01
-1.7295e-01
-1.6147e-01
-1.5424e-01
-1.4560e-01
-1.1737e-01
-1.1172e-01
-1.0846e-01
-1.0629e-01
-9.4327e-02
-8.0883e-02
-6.6043e-02
-6.6660e-02
-6.1649e-02
-4.7245e-02
-2.8332e-02
-1.8043e-02
-7.7416e-03
-6.5142e-04
1.0918e-02
1.7619e-02
3.4310e-02
3.3192e-02
5.2275e-02
5.5756e-02
6.8326e-02
8.2764e-02
9.5195e-02
9.4412e-02
1.1630e-01
1.2330e-01
1.2966e-01
1.3902e-01
1.4891e-01
1.5848e-01
1.7012e-01
1.8026e-01
1.9413e-01
2.0763e-01
2.1233e-01
2.1895e-01
2.3313e-01
2.4092e-01
2.4485e-01
2.6475e-01
2.7154e-01
2.8068e-01
2.9258e-01
3.0131e-01
3.0529e-01
3.1919e-01
3.2927e-01
3.3734e-01
3.5841e-01
3.5562e-01
3.6758e-01
3.7644e-01
3.8413e-01
3.9904e-01
4.0863e-01
4.2765e-01
4.2875e-01
4.3468e-01
4.5802e-01
4.6617e-01
4.6885e-01
4.7247e-01
4.8778e-01
4.9922e-01
5.1138e-01
5.1869e-01
5.3222e-01
5.4196e-01
5.4375e-01
5.5526e-01
5.6629e-01
5.7746e-01
5.8840e-01
6.0006e-01
5.9485e-01
6.1771e-01
6.3621e-01
6.3467e-01
6.5467e-01
6.6175e-01
6.6985e-01
6.8091e-01
6.8217e-01
6.9958e-01
7.1802e-01
7.2049e-01
7.3021e-01
7.3633e-01
7.4985e-01
7.6116e-01
7.7213e-01
7.7814e-01
7.8882e-01
8.1012e-01
7.9871e-01
8.3115e-01
8.3169e-01
8.4500e-01
8.4168e-01
8.5705e-01
8.6861e-01
8.8211e-01
8.8165e-01
9.0236e-01
9.0394e-01
9.2033e-01
9.3326e-01
9.4164e-01
9.5541e-01
9.6503e-01
9.6675e-01
9.8129e-01
9.8528e-01
9.9339e-01

Credits to Lutz Lehmann and PierU.
The problem lied in the array t_points not being a monotonous array. Adding a sort(t_points) before doing any calculations fixed the error.

Related

Error on print_usage and fzero while Running Matlab Script in Octave

I am trying to run inputfile_calrel_example1 FERUM Matlab scripts from https://www.sigma-clermont.fr/en/ferum in Octave-5.1.0.0 but run into errors with respect to print_usage and fzero as follows:
error: Invalid call to fzero. Correct usage is:
-- fzero (FUN, X0)
-- fzero (FUN, X0, OPTIONS)
-- [X, FVAL, INFO, OUTPUT] = fzero (...)
error: called from
print_usage at line 91 column 5
fzero at line 133 column 5
drho0_dthetaf_integral at line 75 column 22
mod_corr_solve at line 99 column 54
form at line 90 column 58
ferum at line 129 column 33
>>
Looking through print_usage.m file reveals line 91 as follows:
error ("Octave:invalid-fun-call", msg);
while lines 78 to 92:
if (at_toplev)
error ("Octave:invalid-fun-call",
"Invalid call to %s. Correct usage is:\n\n%s\n%s",
name, usage_string, __additional_help_message__ ());
else
msg = sprintf ("Invalid call to %s. Correct usage is:\n\n%s",
name, usage_string);
## Ensure that the error doesn't end up with a newline, as that disables
## backtraces.
if (msg(end) == "\n")
msg(end) = " ";
endif
error ("Octave:invalid-fun-call", msg);
endif
and fzero lines 132 to 134 are as follows:
if (nargin < 2 | nargin > 3)
print_usage (mfilename ());
end
I would like to have hints as to how to resolve the above error messages.
Best regards
Aliyu Aziz
As stated in the comments, fzero was called with the following arguments.
drho0_dthetafi.mu = fzero( ...
'betadrho0_dthetaf' ...
, 0 ...
, optimset('fzero') ...
, dF_dthetafi.mu ...
, PHI2 ...
, F ...
, dPHI2_dZi ...
, dZi_dthetafi.mu ...
, dPHI2_drho0 ...
, detJ ...
, WIP ...
);
From the documentation (help fzero) you can see that the above call is not a valid fzero call:
-- fzero (FUN, X0, OPTIONS)
Find a zero of a univariate function
FUN is a function handle, inline function, or string containing the
name of the function to evaluate.
X0 should be a two-element vector specifying two points which
bracket a zero. If X0 is a single scalar then several nearby and distant
values are probed in an attempt to obtain a valid bracketing. If this is not
successful, the function fails.
OPTIONS is a structure specifying additional options.
To initialize an options structure with default values for 'fzero'
use 'options = optimset ("fzero")'.
So as you see, the extra arguments after 'optimset' trigger an error.
I'm assuming that the extra arguments were intended to be arguments to the betadrho0_dthetaf function. In general the function FUN expects a single argument (since it is univariate). If your betadrho0_dthetaf function expects a number of other parameters, then instead of using it in fzero via string, wrap it around an anonymous function handle which does only take a single argument, and uses your intended function internally to calculate the intended result, e.g.
drho0_dthetafi.mu = fzero( ...
#(x) betadrho0_dthetaf( ...
x ...
, dF_dthetafi.mu ...
, PHI2 ...
, F ...
, dPHI2_dZi ...
, dZi_dthetafi.mu ...
, dPHI2_drho0 ...
, detJ ...
, WIP ...
) ...
, 0 ...
, optimset('fzero') ...
);
or something along those lines, depending on how you would call that beta function.

Error using integral (line 85): A and B must be floating-point scalars

I have the following code that I wish to estimate the parameters of a custom distribution using MATLAB's function mle(). For more details on the distribution.
The main code is:
x = [0 0 0 0 0.000649967501624919 0.00569971501424929 0.0251487425628719 0.0693465326733663 0.155342232888356 0.284835758212089 0.458277086145693 0.658567071646418 0.908404579771011 1.17284135793210 1.43977801109945 1.71951402429879 1.98925053747313 2.27553622318884 2.57147142642868 2.80390980450977 3.03829808509575 3.26583670816459 3.45642717864107 3.65106744662767 3.81950902454877 3.98275086245688 4.11259437028149 4.24683765811709 4.35043247837608 4.43832808359582 4.58427078646068 4.62286885655717 4.68361581920904 4.75686215689216 4.80245987700615 4.84005799710015 4.86280685965702 4.91675416229189 4.92725363731813 4.90890455477226 4.96570171491425 4.92315384230789 4.95355232238388 4.92790360481976 4.93135343232838 4.90310484475776 4.90885455727214 4.86765661716914 4.85490725463727 4.81940902954852 4.81450927453627 4.78621068946553 4.74206289685516 4.71791410429479 4.69961501924904 4.65706714664267 4.63611819409030 4.60176991150443 4.57512124393780 4.53507324633768 4.48252587370631 4.47062646867657 4.43127843607820 4.39963001849908 4.37598120093995 4.29548522573871 4.31033448327584 4.21708914554272 4.21913904304785 4.18669066546673 4.16719164041798 4.09774511274436 4.07989600519974 4.02869856507175 3.98485075746213 3.95785210739463 3.93945302734863 3.90240487975601 3.87025648717564 3.81185940702965 3.78461076946153 3.74091295435228 3.71666416679166 3.67276636168192 3.65846707664617 3.61361931903405 3.58712064396780 3.55452227388631 3.53082345882706 3.49197540122994 3.48582570871456 3.46512674366282 3.41227938603070 3.36278186090695 3.35528223588821 3.31238438078096 3.27213639318034 3.23863806809660 3.24173791310434 3.19339033048348 3.20118994050298 3.16489175541223 3.10739463026849 3.09484525773711 3.08094595270237 3.02129893505325 3.02309884505775 2.99375031248438 2.95765211739413 2.93230338483076 2.89560521973901 2.87805609719514 2.85440727963602 2.82285885705715 2.80175991200440 2.79091045447728 2.73901304934753 2.72701364931753 2.73441327933603 2.71646417679116 2.68236588170592 2.65551722413879 2.63356832158392 2.60361981900905 2.58147092645368 2.57697115144243 2.54287285635718 2.53502324883756 2.47702614869257 2.50387480625969 2.46487675616219 2.45722713864307 2.42707864606770 2.41762911854407 2.39823008849558 2.38708064596770 2.34058297085146 2.35613219339033 2.32123393830309 2.30503474826259 2.27613619319034 2.27248637568122 2.25113744312784 2.24908754562272 2.22703864806760 2.20583970801460 2.17244137793110 2.15709214539273 2.16469176541173 2.12139393030348 2.12809359532023 2.11389430528474 2.09774511274436 2.07629618519074 2.07459627018649 2.05394730263487 2.04724763761812 2.01684915754212 2.01684915754212 2.00409979501025 1.98955052247388 1.96540172991350 1.95890205489726 1.93035348232588 1.92295385230738 1.90605469726514 1.89785510724464 1.87070646467677 1.88000599970002 1.86295685215739 1.84420778961052 1.82510874456277 1.80480975951202 1.80785960701965 1.80870956452177 1.77581120943953 1.76771161441928 1.77131143442828 1.76636168191590 1.75081245937703 1.73156342182891 1.69876506174691 1.70836458177091 1.70376481175941 1.67196640167992 1.68101594920254 1.66586670666467 1.66061696915154 1.64296785160742 1.63291835408230 1.62506874656267 1.62516874156292 1.60556972151392 1.59007049647518 1.59187040647968 1.57947102644868 1.57577121143943 1.54527273636318 1.57237138143093 1.54637268136593 1.54802259887006 1.50492475376231 1.52077396130193 1.50417479126044 1.50162491875406 1.50062496875156 1.48957552122394 1.47997600119994 1.47027648617569 1.44452777361132 1.45407729613519 1.44272786360682 1.43247837608120 1.41657917104145 1.40787960601970 1.39323033848308 1.40282985850707 1.39403029848508 1.38233088345583 1.37888105594720 1.37943102844858 1.36183190840458 1.34808259587021 1.34503274836258 1.33703314834258 1.33308334583271 1.32253387330633 1.32698365081746 1.29963501824909 1.30758462076896 1.29103544822759 1.29473526323684 1.27413629318534 1.26858657067147 1.27888605569722 1.26063696815159 1.27863606819659 1.25168741562922 1.23913804309785 1.24788760561972 1.22308884555772 1.24198790060497 1.22133893305335 1.20678966051697 1.20098995050247 1.20343982800860 1.18779061046948 1.19024048797560 1.17194140292985 1.17369131543423 1.16869156542173 1.15814209289536 1.15429228538573 1.15904204789761 1.12774361281936 1.15344232788361 1.13744312784361 1.12909354532273 1.12479376031198 1.11099445027749 1.11469426528674 1.11064446777661 1.10464476776161 1.10309484525774 1.10689465526724 1.07654617269137 1.07884605769712 1.07359632018399 1.06864656767162 1.07544622768862 1.06689665516724 1.04884755762212 1.06164691765412 1.04979751012449 1.04529773511324 1.02839858007100 1.03634818259087 1.01709914504275 1.02089895505225 1.01024948752562 1.01549922503875 1.01319934003300 1.01404929753512 1.00839958002100 0.995400229988501 0.989850507474626 0.978801059947003 0.977551122443878 0.980450977451127 0.975451227438628 0.969201539923004 0.964151792410380 0.964601769911504 0.958802059897005 0.955702214889256 0.948602569871506 0.960751962401880 0.941352932353382 0.928653567321634 0.949002549872506 0.937053147342633 0.913854307284636 0.916204189790510 0.915454227288636 0.902604869756512 0.909454527273636 0.895505224738763 0.898355082245888 0.894455277236138 0.902454877256137 0.883705814709265 0.888405579721014 0.876356182190891 0.881555922203890 0.878156092195390 0.868456577171141 0.870406479676016 0.863906804659767 0.862456877156142 0.858757062146893 0.851307434628269 0.851107444627769 0.833908304584771 0.843507824608770 0.831708414579271 0.836858157092145 0.829058547072646 0.828508574571272 0.822908854557272 0.820508974551273 0.815559222038898 0.819709014549273 0.809609519524024 0.813409329533523 0.800759962001900 0.806609669516524 0.806959652017399 0.792260386980651 0.787660616969152 0.783810809459527 0.794960251987401 0.771061446927654 0.788910554472276 0.789510524473776 0.763061846907655 0.776761161941903 0.767561621918904 0.773611319434028 0.750262486875656 0.765811709414529 0.765911704414779 0.748012599370032 0.741612919354032 0.757312134393280 0.752612369381531 0.741362931853407 0.742212889355532 0.741912904354782 0.743162841857907 0.732963351832408 0.732813359332033 0.733363331833408 0.721913904304785 0.716664166791661 0.726713664316784 0.709764511774411 0.700064996750163 0.710764461776911 0.717664116794160 0.707314634268287 0.707114644267787 0.705614719264037 0.709164541772911 0.696665166741663 0.680765961701915 0.686715664216789 0.694465276736163 0.683015849207540 0.681715914204290 0.694465276736163 0.688615569221539 0.680665966701665 0.672316384180791 0.672866356682166 0.656517174141293 0.665316734163292 0.671566421678916 0.666266686665667 0.652917354132293 0.663366831658417 0.651917404129794 0.663816809159542 0.661366931653417 0.647017649117544 0.655167241637918 0.647867606619669 0.636918154092295 0.645467726613669 0.633118344082796 0.640217989100545 0.634668266586671 0.618669066546673 0.635068246587671 0.632568371581421 0.623118844057797 0.623868806559672 0.623718814059297 0.621368931553422 0.623768811559422 0.608419579021049 0.616019199040048 0.609869506524674 0.606569671516424 0.614019299035048 0.610269486525674 0.596520173991300 0.595570221488926 0.593270336483176 0.596670166491675 0.598470076496175 0.597770111494425 0.593720313984301 0.592770361481926 0.585420728963552 0.580870956452177 0.584120793960302 0.580270986450677 0.577971101444928 0.579021048947553 0.572821358932053 0.585970701464927 0.572921353932303 0.567071646417679 0.569971501424929 0.571271436428179 0.568421578921054 0.567421628918554 0.569521523923804 0.563721813909305 0.558772061396930 0.562171891405430 0.557872106394680 0.549072546372681 0.558722063896805 0.536973151342433 0.561021948902555 0.544172791360432 0.552122393880306 0.553072346382681 0.546222688865557 0.551472426378681 0.540772961351932 0.541122943852807 0.542772861356932 0.530323483825809 0.526023698815059 0.529273536323184 0.524573771311435 0.525923703814809 0.524923753812309 0.516474176291185 0.527273636318184 0.527723613819309 0.518424078796060 0.517874106294685 0.516074196290186 0.517924103794810 0.523173841307935 0.514474276286186 0.513174341282936 0.498875056247188 0.518024098795060 0.507924603769812 0.505524723763812 0.507174641267937 0.502874856257187 0.502624868756562 0.500624968751562 0.510824458777061 0.490925453727314 0.492675366231688 0.489925503724814 0.478126093695315 0.485775711214439 0.491775411229439 0.489925503724814 0.491325433728314 0.487225638718064 0.485725713714314 0.485675716214189 0.477676116194190 0.483875806209690 0.478026098695065 0.470176491175441 0.471926403679816 0.483625818709065 0.469376531173441 0.474026298685066 0.467826608669567 0.462426878656067];
Censored = ones(1,size(x,2));%
custpdf = #eval_custpdf;
custcdf = #eval_custcdf;
phat = mle(x,'pdf', custpdf,'cdf', custcdf,'start',[1 0.1 0.3 0.1 0.01 -0.3],...
'lowerbound',[0 0 0 0 0 -inf],'upperbound',[inf inf inf inf inf inf],'Censoring',Censored);
% Cheking how close the estimated PDF and CDF match with those from the data x
t = 0.001:0.001:0.5;
figure();
plot(t,x);hold on
plot(t,custpdf(t, phat(1), phat(2), phat(3), phat(4), phat(5), phat(6)))
figure();
plot(t,cumsum(x)./sum(x));hold on
plot(t,custcdf(t, phat(1), phat(2), phat(3), phat(4), phat(5), phat(6)))
The functions are:
function out = eval_custpdf(x,myalpha,mybeta,mytheta,a,b,c)
first_integral = integral(#(x) eval_K(x,a,b,c),0,1).^-1;
theta_t_ratio = (mytheta./x);
incomplete_gamma = igamma(myalpha,theta_t_ratio.^mybeta);
n_gamma = gamma(myalpha);
exponent_term = exp(-theta_t_ratio.^mybeta-(c.*(incomplete_gamma./n_gamma)));
numerator = first_integral.* mybeta.*incomplete_gamma.^(a-1).*...
theta_t_ratio.^(myalpha*mybeta+1).*exponent_term;
denominator = mytheta.* n_gamma.^(a+b-1).* (n_gamma-incomplete_gamma.^mybeta).^(1-b);
out = numerator./denominator;
end
function out = eval_custcdf(x,myalpha,mybeta,mytheta,a,b,c)
first_integral = integral(#(x) eval_K(x,a,b,c),0,1).^-1;
theta_t_ratio = (mytheta./x);
incomplete_gamma = igamma(myalpha,theta_t_ratio.^mybeta);
n_gamma = gamma(myalpha);
second_integral = integral(#(x) eval_K(x,a,b,c),0, incomplete_gamma.^mybeta./n_gamma);
% |<----- PROBLEMATIC LINE ----->|
out = first_integral*second_integral;
end
function out = eval_K(x,a,b,c)
out = x.^(a-1).*(1-x).^(b-1).*exp(-c.*x);
end
The integral that is causing the problem is the second intergral in the function eval_custcdf() as its upper limit is an array (denoted by PROBLEMATIC LINE).
Is there a way to take a single value from the array x such that the upper limit remains a scalar? And then calculate the cdf such that the output of the cdf is an array? Using a forloop, maybe? But I cannot seem to figure how to implement that?
How can I work around this problem?
Any help would be appreciated.
Thanks in advance.
eval_custcdf is a function expected to return 1D array of length n for
a given n data input.
I use a for loop to compute the output for a given input, then
return the whole array as output of eval_custcdf
I passed the input array elements one at a time
This is how eval_custcdf may look like
function out = eval_custcdf(x,myalpha,mybeta,mytheta,a,b,c)
out = zeros(size(x));
for i = 1: length(x)
first_integral = integral(#(w) eval_K(w,a,b,c),0,1).^-1;
theta_t_ratio = (mytheta./x(i));
incomplete_gamma = igamma(myalpha,theta_t_ratio.^mybeta);
n_gamma = gamma(myalpha);
second_integral = integral(#(w) eval_K(w,a,b,c),0, incomplete_gamma.^mybeta./n_gamma);
out(i) = first_integral*second_integral;
end
end

Quiver list and labeling vectors of my inputs u,d, and r

How do I label each vector of each input component, say u$_1$..., d$_1$..., on my graph at each vector's respective starting point. I want to see if there is a clustering of certain vectors like u$_30$-u$_50$ are all near each other, for example. Here is my code:
fx = [1.01, 1.0165376460248143, 1.016585505356985,...
1.0166786731186357, 1.0166445649045002, 1.01684528204491,...
1.0168363943981442, 1.0169505828006045, 1.0169903647693619,...
1.0170588800755562, 1.0170214556321182, 1.0171007103163394,...
1.0170611565299144, 1.0171737504115423, 1.0171325089936156,...
1.0173884633568437, 1.0173821295549914, 1.017540453473392,...
1.0176091468862674, 1.0177647297690604, 1.017711866139699,...
1.0177536635811828, 1.0178254876275734, 1.0173994306983212,...
1.0200331803664529, 1.0232411092365432, 1.0232773133875106,...
1.023383936276914, 1.0233275057530007, 1.023510835824228,...
1.0234461433923472, 1.023507118352957, 1.0237210297124908,...
1.0236390252916325, 1.0237007559499636, 1.0239084387662698,...
1.0238131746118633, 1.024266374303865, 1.024212732428539,...
1.02440393427416, 1.0245390401237269, 1.0252178000353167,...
1.0252021019242434, 1.0275875709904758, 1.0275871039342042];
fy = [0.99, 0.99, 0.9899194500620327, 0.9897134368447225,...
0.9899339650105077, 0.9895259027418399, 0.9898115223446341,...
0.9896762515189842, 0.9896129792784014, 0.9894766621994305,...
0.9896189382715079, 0.9894614440540032, 0.9896292673356496,...
0.9894095770062209, 0.989655005387203, 0.9892019096930893,...
0.9894189058876284, 0.9892732425545386, 0.9891916768216495,...
0.9889512723219249, 0.9892071461243063, 0.9891515372181835,...
0.9890346980816267, 0.9901802532401042, 0.9892771992437573,...
0.9881487558751526, 0.9880037699743045, 0.9875669935217211,...
0.9878502051001951, 0.9872010568874899, 0.9875329139453003,...
0.9873775054641964, 0.9868251990627905, 0.9871082986923524,...
0.9869819983991632, 0.9865548473263468, 0.9867867860622922,...
0.9859765136441385, 0.9861731333993694, 0.9859212446482857,...
0.9857475603282838, 0.9848759880952044, 0.9850648602644492,...
0.9821891156159342, 0.9822254068452594];
fz =[0.01, -0.0014683388934621459, -0.0028093690242636917,...
-0.006255424514110392, -0.002405171080788649, -0.009167776104980133,...
0.0003750210183572269, -0.001823375333180016, -0.002906415137850454,...
-0.005227263048381278, -0.0028662319950483552, -0.0055329993182467365,...
-0.0027458980004112996, -0.00644276568444028, -0.00226410433801184,...
-0.009832266892691467, 0.0012478354917326469, -0.001163969711179093,...
-0.0026270200357900887, -0.006946260715800828, -0.00188587841967576,...
-0.002880843788516535, -0.0049636661241180685, 0.015586949435911355,...
0.010368914010693711, -0.0010649331940053245, -0.002328942248654949,...
-0.006634620630021168, -0.0020052485893380344, -0.008543368794125199,...
-0.00044976575279103564, -0.0019790036016751333, -0.008330963679008077,...
-0.0006481277669472506, -0.0020539789179887767, -0.0075781311330381336,...
-0.001294365366809558, -0.011629381859506432, 0.003447063734076782,...
0.0011256038145771368, -0.0008637305140054806, -0.012865086502170518,...
0.005283762238371167, -0.016926299226379265, 0.011993515880473204];
x = [1.01, 1.0165376460248143, 1.016585505356985, 1.0166786731186357,...
1.0166445649045002, 1.01684528204491, 1.0168363943981442,...
1.0169505828006045, 1.0169903647693619, 1.0170588800755562,...
1.0170214556321182, 1.0171007103163394, 1.0170611565299144,...
1.0171737504115423, 1.0171325089936156, 1.0173884633568437,...
1.0173821295549914, 1.017540453473392, 1.0176091468862674,...
1.0177647297690604, 1.017711866139699, 1.0177536635811828,...
1.0178254876275734, 1.0173994306983212, 1.0200331803664529,...
1.0232411092365432, 1.0232773133875106, 1.023383936276914,...
1.0233275057530007, 1.023510835824228, 1.0234461433923472,...
1.023507118352957, 1.0237210297124908, 1.0236390252916325,...
1.0237007559499636, 1.0239084387662698, 1.0238131746118633,...
1.024266374303865, 1.024212732428539, 1.02440393427416,...
1.0245390401237269, 1.0252178000353167, 1.0252021019242434,...
1.0275875709904758, 1.0275871039342042];
y = [0.99, 0.99, 0.9899194500620327, 0.9897134368447225,...
0.9899339650105077, 0.9895259027418399, 0.9898115223446341,...
0.9896762515189842, 0.9896129792784014, 0.9894766621994305,...
0.9896189382715079, 0.9894614440540032, 0.9896292673356496,...
0.9894095770062209, 0.989655005387203, 0.9892019096930893,...
0.9894189058876284, 0.9892732425545386, 0.9891916768216495,...
0.9889512723219249, 0.9892071461243063, 0.9891515372181835,...
0.9890346980816267, 0.9901802532401042, 0.9892771992437573,...
0.9881487558751526, 0.9880037699743045, 0.9875669935217211,...
0.9878502051001951, 0.9872010568874899, 0.9875329139453003,...
0.9873775054641964, 0.9868251990627905, 0.9871082986923524,...
0.9869819983991632, 0.9865548473263468, 0.9867867860622922,...
0.9859765136441385, 0.9861731333993694, 0.9859212446482857,...
0.9857475603282838, 0.9848759880952044, 0.9850648602644492,...
0.9821891156159342, 0.9822254068452594];
z =[0.01, -0.0014683388934621459, -0.0028093690242636917,...
-0.006255424514110392, -0.002405171080788649, -0.009167776104980133,...
0.0003750210183572269, -0.001823375333180016, -0.002906415137850454,...
-0.005227263048381278, -0.0028662319950483552, -0.0055329993182467365,...
-0.0027458980004112996, -0.00644276568444028, -0.00226410433801184,...
-0.009832266892691467, 0.0012478354917326469, -0.001163969711179093,...
-0.0026270200357900887, -0.006946260715800828, -0.00188587841967576,...
-0.002880843788516535, -0.0049636661241180685, 0.015586949435911355,...
0.010368914010693711, -0.0010649331940053245, -0.002328942248654949,...
-0.006634620630021168, -0.0020052485893380344, -0.008543368794125199,...
-0.00044976575279103564, -0.0019790036016751333, -0.008330963679008077,...
-0.0006481277669472506, -0.0020539789179887767, -0.0075781311330381336,...
-0.001294365366809558, -0.011629381859506432, 0.003447063734076782,...
0.0011256038145771368, -0.0008637305140054806, -0.012865086502170518,...
0.005283762238371167, -0.016926299226379265, 0.011993515880473204];
figure
q = quiver3(fx,fy,fz,x,y,z)
The problem is that I want to label the starting point of each vector:
You can use text:
q = quiver3(fx,fy,fz,x,y,z)
text(fx,fy,fz,num2str((1:numel(fx)).'))
The first 3 inputs are the coordinates of the label and the next input is a list (column character array or a cell-array) of the labels. I don't understand how your labeling is working (i.e. what is u$_1$ or d$_1$), so I just numbered the vectors from 1 to 45.

MATLAB: errorn in butter() command

I wrote the following function:
function [output_signal] = AddDirectivityError (bat_loc_index, butter_deg_vector, sound_matrix)
global chirp_initial_freq ;
global chirp_end_freq;
global sampling_rate;
global num_of_mics;
global sound_signal_length;
for (i=1 : num_of_mics)
normalized_co_freq = (chirp_initial_freq + chirp_end_freq)/ (1.6* sampling_rate);
A=sound_matrix ( i, : ) ;
peak_signal=max(A);
B=find(abs(A)>peak_signal/100);
if (butter_deg_vector(i)==0)
butter_deg_vector(i)=2;
end
[num, den] = butter(butter_deg_vector(i), normalized_co_freq, 'low');// HERE!!!
filtered_signal=filter(num,den, A );
output_signal(i, :)=filtered_signal;
end
This functions runs many-many times without any error. However, when I reach the line: [num, den] = butter ( butter_deg_vector(i), normalized_co_freq, 'low');
And the local variables are: i=3, butter_deg_vector(i)=1, normalized_co_freq=5.625000e-001
MATLAB prompts an error says:
??? Error using ==> buttap Expected N to be integer-valued.
"Error in ==> buttap at 15 validateattributes(n,{'numeric'},{'scalar','integer','positive'},'buttap','N');
Error in ==> butter at 70 [z,p,k] = buttap(n);"
I don't understand why this problem occurs especially in this iteration. Why does this function prompt an error especially in this case?
Try to change the code line for:
[num, den] = butter (round(butter_deg_vector(i)), normalized_co_freq, 'low');

"LapackError: Parameter a has non-native byte order in lapack_lite.dgesdd" when importing from Matlab files

After importing this data file from Matlab with scipy.io.loadmat, things appeared to work fine until we tried to calculate the conditioning number of one of the matrixes within.
Here's the minimum amount of code that reproduces for us:
import scipy
import numpy
stuff = scipy.io.loadmat("dati-esercizio1.mat")
numpy.linalg.cond(stuff["A"])
Here's the extended stacktrace courtesy of iPython:
In [3]: numpy.linalg.cond(A)
---------------------------------------------------------------------------
LapackError Traceback (most recent call last)
/snip/<ipython-input-3-15d9ef00a605> in <module>()
----> 1 numpy.linalg.cond(A)
/snip/python2.7/site-packages/numpy/linalg/linalg.py in cond(x, p)
1409 x = asarray(x) # in case we have a matrix
1410 if p is None:
-> 1411 s = svd(x,compute_uv=False)
1412 return s[0]/s[-1]
1413 else:
/snip/python2.7/site-packages/numpy/linalg/linalg.py in svd(a, full_matrices, compute_uv)
1313 work = zeros((lwork,), t)
1314 results = lapack_routine(option, m, n, a, m, s, u, m, vt, nvt,
-> 1315 work, -1, iwork, 0)
1316 lwork = int(work[0])
1317 work = zeros((lwork,), t)
LapackError: Parameter a has non-native byte order in lapack_lite.dgesdd
All obvious ideas (like flattening and reshaping the matrix or recreating the matrix from scratch reassigning it element by element) failed. How can I want to massage the data, then, in order to make it more agreeable with numpy?
It's a bug, fixed some time ago: https://github.com/numpy/numpy/pull/235
Workaround:
np.linalg.cond(stuff['A'].newbyteorder('='))
This works for me:
In [33]: stuff = loadmat('dati-esercizio1.mat')
In [34]: a = stuff['A']
In [35]: try: np.linalg.cond(a)
....: except: print "Fail!"
Fail!
In [36]: b = np.array(a, dtype='>d')
In [37]: np.linalg.cond(b)
Out[37]: 62493201976.673141
In [38]: np.all(a == b) # Verify they hold the same data.
Out[38]: True
Apparently it's something wrong with the byte order (endianness?) of each number in the resulting ndarray and not just with the ndarray object itself.
Something like this but more elegant should do the trick:
n, m = A.shape()
B = numpy.empty_like(A)
for i in xrange(n):
for j in xrange(m):
B[i,j] = float(A[i,j])
del A
B = A
print numpy.linalg.cond(A) # 62493210091.354507
(For some reason an in-place replacement still gives that error - so there's something wrong with the byte order of the whole object, too.)