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mp_TESTING.m
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mp_TESTING.m
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clear
precision = 90;
tol = 1e-14;
x = [1.5+i, -.2+i/2;-.4-.2*i,3.1-i]
z = [1+i/4, -.8+i;-.4-2*i,.25-i]
xmp = mp(x,precision)
zmp = mp(z,precision)
disp('%%%%%%%%%%%%%%%%%%%%%%%mp TESTING %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
disp('%%% abs.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=abs(x)
ymp=abs(xmp)
d=y-double(y)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% acosh.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=acosh(x)
ymp=acosh(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% acos.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=acos(x)
ymp=acos(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% acoth.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=acoth(x)
ymp=acoth(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% acot.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=acot(x)
ymp=acot(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% acsch.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=acsch(x)
ymp=acsch(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% acsc.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=acsc(x)
ymp=acsc(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
%and.m
disp('%%% asech.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=asech(x)
ymp=asech(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% asec.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=asec(x)
ymp=asec(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% asinh.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=asinh(x)
ymp=asinh(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% asin.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=asin(x)
ymp=asin(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% atan.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=atan(x)
ymp=atan(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% atan2.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=atan2(real(z),real(x))
ymp=atan2(real(zmp),real(xmp))
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% atanh.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=atanh(x)
ymp=atanh(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% ceil.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=ceil(x)
ymp=ceil(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% conj.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=conj(x)
ymp=conj(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% cosh.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=cosh(x)
ymp=cosh(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% cos.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=cos(x)
ymp=cos(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% coth.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=coth(x)
ymp=coth(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% cot.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=cot(x)
ymp=cot(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% csch.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=csch(x)
ymp=csch(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% csc.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=csc(x)
ymp=csc(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% ctranspose.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=ctranspose(x)
ymp=ctranspose(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% erf.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=erf(real(x))
ymp=erf(real(xmp))
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% exp.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=exp(x)
ymp=exp(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% factorial.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=factorial(round(abs(x)))
ymp=factorial(round(abs(xmp)))
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% fix.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=fix(x)
ymp=fix(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% floor.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=floor(x)
ymp=floor(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% gamma.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=gamma(real(x))
ymp=gamma(real(xmp))
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% imag.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=imag(x)
ymp=imag(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% isreal.m* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=isreal(x)
ymp=isreal(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% length.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=length(x)
ymp=length(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% log10.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=log10(x)
ymp=log10(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% log2.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=log2(x)
ymp=log2(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% log.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=log(x)
ymp=log(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% max.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=max(x,z)
ymp=max(xmp,zmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% min.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=min(x,z)
ymp=min(xmp,zmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% minus.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=minus(x,z)
ymp=minus(xmp,zmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% mpower.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=x^3
ymp=xmp^3
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% mrdivide.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=x/z(1)
ymp=xmp/zmp(1)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% mtimes.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=x*z
ymp=xmp*zmp
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% plus.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=plus(x,z)
ymp=plus(xmp,zmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% power.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=x.^z
ymp=xmp.^zmp
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% prod.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=prod(x)
ymp=prod(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% rand.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
ymp=rand(mp(3,precision))
disp('%%% rdivide.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=x./z
ymp=xmp./zmp
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% real.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=real(x)
ymp=real(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% round.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=round(x)
ymp=round(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% sech.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=sech(x)
ymp=sech(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% sec.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=sec(x)
ymp=sec(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% sign.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=sign(x)
ymp=sign(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% sinh.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=sinh(x)
ymp=sinh(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% sin.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=sin(x)
ymp=sin(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% sqrt.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=sqrt(x)
ymp=sqrt(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% sum.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=sum(x)
ymp=sum(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% tanh.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=tanh(x)
ymp=tanh(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% tan.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=tan(x)
ymp=tan(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% times.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=x.*z
ymp=xmp.*zmp
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% transpose.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=transpose(x)
ymp=transpose(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% uminus.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=uminus(x)
ymp=uminus(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% uplus.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=uplus(x)
ymp=uplus(xmp)
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% zeta.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
ymp=zeta(real(xmp))
% The constants
disp('%%% mp_pi.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=pi
ymp=mp_pi
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% mp_euler.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=0.5772156649015328606065120900
ymp=mp_euler
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp('%%% mp_log2.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%')
y=log(2)
ymp=mp_log2
d=y-double(ymp)
if max(max(abs(d)))>tol, error('results not identical'), end
disp([char(10),'All tests passed successfully!'])
% output of mp_TESTING
%>> mp_TESTING
%x =
% Column 1
% 1.5 + 1i
% -0.4 - 0.2i
% Column 2
% -0.2 + 0.5i
% 3.1 - 1i
%z =
% Column 1
% 1 + 0.25i
% -0.4 - 2i
% Column 2
% -0.8 + 1i
% 0.25 - 1i
%xmp=
%ans =
% Column 1
% '.1500000000000000000000000000e1+.1000000000000000000000000000e1i'
% '-.4000000000000000000000000000e0-.2000000000000000000000000000e0i'
% Column 2
% '-.2000000000000000000000000000e0+.5000000000000000000000000000e0i'
% '.3100000000000000000000000000e1-.1000000000000000000000000000e1i'
%zmp=
%ans =
% Column 1
% '.1000000000000000000000000000e1+.2500000000000000000000000000e0i'
% '-.4000000000000000000000000000e0-.2000000000000000000000000000e1i'
% Column 2
% '-.8000000000000000000000000000e0+.1000000000000000000000000000e1i'
% '.2500000000000000000000000000e0-.1000000000000000000000000000e1i'
%%%%%%%%%%%%%%%%%%%%%%%%mp TESTING %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% abs.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%y =
% 1.80277563773199 0.53851648071345
% 0.447213595499958 3.25729949498047
%ymp=
%ans =
% '.1802775637731994646559610633e1' '.5385164807134504031250710493e0'
% '.4472135954999579392818347337e0' '.3257299494980466176782988518e1'
%d =
% 0 0
% 0 0
%%%% acosh.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%y =
% Column 1
% 1.26047518779845 + 0.664420550820152i
% 0.21561241855583 - 1.9723827184627i
% Column 2
% 0.48848278942278 + 1.75005578130988i
% 1.85467582699594 - 0.326644164377257i
%ymp=
%ans =
% Column 1
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% -0.2 -1
%ymp=
%ans =
% '.1000000000000000000000000000e1' '.5000000000000000000000000000e0'
% '-.2000000000000000000000000000e0' '-.1000000000000000000000000000e1'
%d =
% 0 0
% 0 0
%%%% isreal.m* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%y =
% 0
%ymp =
% 0 0
% 0 0
%d =
% 0 0
% 0 0
%%%% length.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%y =
% 2
%ymp =
% 2
%d =
% 0
%%%% log10.m %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%y =
% Column 1
% 0.255941680489437 + 0.255366286065454i
% -0.349485002168009 - 1.16301675570515i
% Column 2
% -0.268801001050522 + 0.847439996829819i
% 0.51285769195067 - 0.135518171515992i
%ymp=
%ans =
% Column 1
% '.2559416804894371893895136842e0+.2553662860654540347986161395e0i'
% '-.3494850021680094023931305528e0-.1163016755705154776446833394e1i'