Free tan software for linux

Math::NumberCruncher Perl module contains a collection of useful math-related functions.

SYNOPSIS

It should be noted that as of v4.0, there is now an OO interface to Math::NumberCruncher. For backwards compatibility, however, the previous, functional style will always be supported.

# OO Style

use Math::NumberCruncher;

$ref = Math::NumberCruncher->new();

# From this point on, all of the subroutines shown below will be available # through $ref (i.e., ( $high,$low ) = $ref->Range( @array )). For the sake # of brevity, consult the functional documentation (below) for the use # of specific functions.

# Functional Style

use Math::NumberCruncher;

($high, $low) = Math::NumberCruncher::Range(@array);
$mean = Math::NumberCruncher::Mean(@array);
$median = Math::NumberCruncher::Median(@array [, $decimal_places]);
$odd_median = Math::NumberCruncher::OddMedian(@array);
$mode = Math::NumberCruncher::Mode(@array);
$covariance = Math::NumberCruncher::Covariance(@array1, @array2);
$correlation = Math::NumberCruncher::Correlation(@array1, @array2);
($slope, $y_intercept) = Math::NumberCruncher::BestFit(@array1, @array2 [, $decimal_places]);
$distance = Math::NumberCruncher::Distance($x1,$y1,$z1,$x2,$y2,$z2 [, $decimal_places]);
$distance = Math::NumberCruncher::Distance($x1,$y1,$x1,$x2 [, $decimal_places]);
$distance = Math::NumberCruncher::ManhattanDistance($x1,$y1,$x2,$y2);
$probAll = Math::NumberCruncher::AllOf(0.3,0.25,0.91,0.002);
$probNone = Math::NumberCruncher::NoneOf(0.4,0.5772,0.212);
$probSome = Math::NumberCruncher::SomeOf(0.11,0.56,0.3275);
$factorial = Math::NumberCruncher::Factorial($some_number);
$permutations = Math::NumberCruncher::Permutation($n);
$permutations = Math::NumberCruncher::Permutation($n,$k);
$roll = Math::NumberCruncher::Dice(3,12,4);
$randInt = Math::NumberCruncher::RandInt(10,50);
$randomElement = Math::NumberCruncher::RandomElement(@array);
Math::NumberCruncher::ShuffleArray(@array);
@unique = Math::NumberCruncher::Unique(@array);
@a_only = Math::NumberCruncher::Compare(@a,@b);
@union = Math::NumberCruncher::Union(@a,@b);
@intersection = Math::NumberCruncher::Intersection(@a,@b);
@difference = Math::NumberCruncher::Difference(@a,@b);
$gaussianRand = Math::NumberCruncher::GaussianRand();
$ways = Math::NumberCruncher::Choose($n,$k);
$binomial = Math::NumberCruncher::Binomial($attempts,$successes,$probability);
$gaussianDist = Math::NumberCruncher::GaussianDist($x,$mean,$variance);
$StdDev = Math::NumberCruncher::StandardDeviation(@array [, $decimal_places]);
$variance = Math::NumberCruncher::Variance(@array [, $decimal_places]);
@scores = Math::NumberCruncher::StandardScores(@array [, $decimal_places]);
$confidence = Math::NumberCruncher::SignSignificance($trials,$hits,$probability);
$e = Math::Numbercruncher::EMC2( "m512", "miles" [, $decimal_places] );
$m = Math::NumberCruncher::EMC2( "e987432" "km" [, $decimal_places] );
$force = Math::NumberCruncher::FMA( "m12", "a73.5" [, $decimal_places] );
$mass = Math::NumberCruncher::FMA( "a43", "f1324" [, $decimal_places] );
$acceleration = Math::NumberCruncher::FMA( "f53512", "m356" [, $decimal_places] );
$predicted_value = Math::NubmerCruncher::Predict( $slope, $y_intercept, $proposed_x [, $decimal_places] );
$area = Math::NumberCruncher::TriangleHeron( $a, $b, $c [, $decimal_places] );
$area = Math::NumberCruncher::TriangleHeron( 1,3, 5,7, 8,2 [, $decimal_places] );
$perimeter = Math::NumberCruncher::PolygonPerimeter( $x0,$y0, $x1,$y1, $x2,$y2, ... [, p$decimal_places]);
$direction = Math::NumberCruncher::Clockwise( $x0,$y0, $x1,$y1, $x2,$y2 );
$collision = Math::NumberCruncher::InPolygon( $x, $y, @xy );
@points = Math::NumberCruncher::BoundingBox_Points( $d, @p );
$in_triangle = Math::NumberCruncher::InTriangle( $x,$y, $x0,$y0, $x1,$y1, $x2,$y2 );
$area = Math::NumberCruncher::PolygonArea( 0, 1, 1, 0, 2, 0, 3, 2, 2, 3 [, p$decimal_places] );
$area = Math::NumberCruncher::CircleArea( $diameter [, $decimal_places] );
$circumference = Math::NumberCruncher::Circumference( $diameter [, $decimal_places] );
$volume = Math::NumberCruncher::SphereVolume( $radius [, $decimal_places] );
$surface_area = Math::NumberCruncher::SphereSurface( $radius [, $decimal_places] );
$years = Math::NumberCruncher::RuleOf72( $interest_rate [, $decimal_places] );
$volume = Math::NumberCruncher::CylinderVolume( $radius, $height [, $decimal_places] );
$volume = Math::NumberCruncher::ConeVolume( $lowerBaseArea, $height [, $decimal_places] );
$radians = Math::NumberCruncher::deg2rad( $degrees [, $decimal_places] );
$degrees = Math::NumberCruncher::rad2deg( $radians [, $decimal_places] );
$Fahrenheit = Math::NumberCruncher::C2F( $Celsius [, $decimal_places] );
$Celsius = Math::NumberCruncher::F2C( $Fahrenheit [, $decimal_places] );
$cm = Math::NumberCruncher::in2cm( $inches [, $decimal_places] );
$inches = Math::NumberCruncher::cm2in( $cm [, $decimal_places] );
$ft = Math::NumberCruncher::m2ft( $m [, $decimal_places] );
$m = Math::NumberCruncher::ft2m( $ft [, $decimal_places] );
$miles = Math::NumberCruncher::km2miles( $km [, $decimal_places] );
$km = Math::NumberCruncher::miles2km( $miles [, $decimal_places] );
$lb = Math::NumberCruncher::kg2lb( $kg [, $decimal_places] );
$kg = Math::NumberCruncher::lb2kg( $lb [, $decimal_places] );
$RelativeStride = Math::NumberCruncher::RelativeStride( $stride_length, $leg_length [, $decimal_places] );
$RelativeStride = Math::NumberCruncher::RelativeStride_2( $DimensionlessSpeed [, $decimal_places] );
$DimensionlessSpeed = Math::NumberCruncher::DimensionlessSpeed( $RelativeStride [, $decimal_places] );
$DimensionlessSpeed = Math::NumberCruncher::DimensionlessSpeed_2( $ActualSpeed, $leg_length [, $decimal_places]);
$ActualSpeed = Math::NumberCruncher::ActualSpeed( $leg_length, $DimensionlessSpeed [, $decimal_places] );
$eccentricity = Math::NumberCruncher::Eccentricity( $half_major_axis, $half_minor_axis [, $decimal_places] );
$LatusRectum = Math::NumberCruncher::LatusRectum( $half_major_axis, $half_minor_axis [, $decimal_places] );
$EllipseArea = Math::NumberCruncher::EllipseArea( $half_major_axis, $half_minor_axis [, $decimal_places] );
$OrbitalVelocity = Math::NumberCruncher::OrbitalVelocity( $r, $a, $M [, $decimal_places] );
$sine = Math::NumberCruncher::sin( $x [, $decimal_places] );
$cosine = Math::NumberCruncher::cos( $x [, $decimal_places] );
$tangent = Math::NumberCruncher::tan( $x [, $decimal_places] );
$arcsin = Math::NumberCruncher::asin( $x [, $decimal_places] );
$arccos = Math::NumberCruncher::acos( $x [, $decimal_places] );
$arctan = Math::NumberCruncher::atan( $x [, $decimal_places] );
$cotangent = Math::NumberCruncher::cot( $x [, $decimal_places] );
$arccot = Math::NumberCruncher::acot( $x [, $decimal_places] );
$secant = Math::NumberCruncher::sec( $x [, $decimal_places] );
$arcsec = Math::NumberCruncher::asec( $x [, $decimal_places] );
$cosecant = Math::NumberCruncher::csc( $x [, $decimal_places] );
$arccosecant = Math::NumberCruncher::acsc( $x [, $decimal_places] );
$exsecant = Math::NumberCruncher::exsec( $x [, $decimal_places] );
$versine = Math::NumberCruncher::vers( $x [, $decimal_places] );
$coversine = Math::NumberCruncher::covers( $x [, $decimal_places] );
$haversine = Math::NumberCruncher::hav( $x [, $decimal_places] );
$grouped = Math::NumberCruncher::Commas( $number );
$SqrRoot = Math::NumberCruncher::SqrRoot( $number [, $decimal_places] );
$square_root = Math::NumberCruncher::sqrt( $x [, $decimal_places] );
$root = Math::NumberCruncher::Root( 55, 3 [, $decimal_places] );
$root = Math::NumberCruncher::Root2( 55, 3 [, $decimal_places] );
$log = Math::NumberCruncher::Ln( 100 [, $decimal_places] );
$log = Math::NumberCruncher::log( $num [, $decimal_places] );
$num = Math::NumberCruncher::Exp( 0.111 [, $decimal_places] );
$num = Math::NumberCruncher::exp( $log [, $decimal_places] );
$Pi = Math::NumberCruncher::PICONST( $decimal_places );
$E = Math::NumberCruncher::ECONST( $decimal_places );
( $A, $B, $C ) = Math::NumberCruncher::PythagTriples( $x, $y [, $decimal_places] );
$z = Math::NumberCruncher::PythagTriplesSeq( $x, $y [, $decimal_places] );
@nums = Math::NumberCruncher::SIS( [$start, $numbers, $increment] );
$inverse = Math::NumberCruncher::Inverse( $number [, $decimal_places] );
@constants = Math::NumberCruncher::CONSTANTS( all [, $decimal_places] );
$bernoulli = Math::NumberCruncher::Bernoulli( $num [, $decimal_places] );
@bernoulli = Math::NumberCruncher::Bernoulli( $num );

Libeval provides simple means of evaluating simple arithmetic expressions involving literal numeric values, variables and functions using the addition (+), subtraction (-), multiplication (*), division (/), modulo division (), exponentiation (^), sign (+-), percentag (%) and grouping (()) operators.
Libeval provides a means of setting and interrogating variables, defining functions and converting error codes into human readable strings. A number of predefined functions are included with libeval that wrap the existing standard C library math functions.
You can evaluate an expression by calling the eval() function. eval() takes two parameters, the expression to evaluate (as a simple C string) and a reference to a double precision float in which to put the result. If eval() encounters an error it returns a non-zero value, otherwise, if everything went well, it returns zero.
The error code returned by eval() can be converted into a human readable string by the eval_error() function. eval_error() takes one parameter, the error code returned by eval(),and returns a constant string describing the error.
Variables can be manipulated with the eval_set_var() and eval_get_var() functions.
eval_set_var() sets the named variable to the specified double precision value. eval_set_var() takes two parameters, the name of the variable to set as a simple C string, and the double precision float value to set the variable to. it returns 0 (zero) on success, non-zero on failure.
eval_get_var() gets the value of the named variable. eval_get_var() takes two parameters, the name of the variable as a simple C string and a reference to a double precision float in which to store the variables value. it returns 0 (zero) on success, non-zero on failure.
Functions can be defined with the eval_def_fn() function, which takes the name of the function as a simple C string, a pointer to a C function implementing the function, a pointer to a block of custom storage for use by the function and the number of arguments taken by the function. The prototype for the implementation function is:
int fn(int args, double *arg, double *rv, void *data);
The first two parameters (args and arg) are similar to the standard parameters to the main() function in C, the args parameter indicates how many elements are the argument list, and arg is the argument list itself. The third parameter (rv) is the return value from the function. The last parameter (data) is the custome storage block passed in when the function was defined.
If you specify a positive value (including zero) as the number of arguments for a function, libeval will only all the function to be called with exactly that number of parameters. If you specify a -1 (negative one) for the number of arguments, the function can be called with any number of parameters.
The following functions are predefined:
abs(x) absolute value of x
int(x) integer part of x
round(x) round x to nearest integer
trunc(x) truncate x (same as int(x))
floor(x) round x to nearest lesser integer
ceil(x) round x to nearest greater integer
sin(x) sine of x (radians)
cos(x) cosine of x (radians)
tan(x) tangent of x (radians)
asin(x) arc sine of x (radians)
acos(x) arc cosine of x (radians)
atan(x) arc tangent of x (radians)
sinh(x) hyperbolic sine of x (radians)
cosh(x) hyperbolic cosine of x (radians)
tanh(x) hyperbolic tangent of x (radians)
asinh(x) hyperbolic arc sine of x (radians)
acosh(x) hyperbolic arc cosine of x (radians)
atanh(x) hyperbolic arc tangent of x (radians)
deg(x) convert radians to degrees
rad(x) convert degrees to radians
ln(x) natural logarithm of x
log(x) base 10 logarithm of x
sqrt(x) square root of x
exp(x) e to x power
rand() random number between 0.0 and 1.0
fact(x) factorial of x (or gamma(x) if x is non-integer)
sum(...) sum of the arguments
min(...) minimum value in arguments
max(...) maximum value in arguments
avg(...) average of arguments
med(...) median of arguments
var(...) variance of arguments
std(...) standard deviation of arguments
Finally, you can get a set of bookkeepping information about the eval_expr libray with the eval_info() function. eval_info() takes nine parmaeters: three references to integer values for the version, revision and build numbers of the current eval_expr library, and three pairs of buffer address and buffer size limit for authors name, copyright info and license info.
You can use libeval by including the libeval header in your program source
#include
and then by linking your program against the libeval library
gcc -o myprog myprog.c -leval
Enhancements:
- A bug in the var() function and version string construction were fixed.

Math::Cephes is a Perl interface to the cephes math library.

SYNOPSIS

use Math::Cephes qw(:all);

This module provides an interface to over 150 functions of the
cephes math library of Stephen Moshier. No functions are exported
by default, but rather must be imported explicitly, as in

use Math::Cephes qw(sin cos);

There are a number of export tags defined which allow
importing groups of functions:
use Math::Cephes qw(:constants);
imports the variables

$PI : 3.14159265358979323846 # pi
$PIO2 : 1.57079632679489661923 # pi/2
$PIO4 : 0.785398163397448309616 # pi/4
$SQRT2 : 1.41421356237309504880 # sqrt(2)
$SQRTH : 0.707106781186547524401 # sqrt(2)/2
$LOG2E : 1.4426950408889634073599 # 1/log(2)
$SQ2OPI : 0.79788456080286535587989 # sqrt( 2/pi )
$LOGE2 : 0.693147180559945309417 # log(2)
$LOGSQ2 : 0.346573590279972654709 # log(2)/2
$THPIO4 : 2.35619449019234492885 # 3*pi/4
$TWOOPI : 0.636619772367581343075535 # 2/pi

As well, there are 4 machine-specific numbers available:

$MACHEP : machine roundoff error
$MAXLOG : maximum log on the machine
$MINLOG : minimum log on the machine
$MAXNUM : largest number represented
use Math::Cephes qw(:trigs);
imports

acos: Inverse circular cosine
asin: Inverse circular sine
atan: Inverse circular tangent (arctangent)
atan2: Quadrant correct inverse circular tangent
cos: Circular cosine
cosdg: Circular cosine of angle in degrees
cot: Circular cotangent
cotdg: Circular cotangent of argument in degrees
hypot: hypotenuse associated with the sides of a right triangle
radian: Degrees, minutes, seconds to radians
sin: Circular sine
sindg: Circular sine of angle in degrees
tan: Circular tangent
tandg: Circular tangent of argument in degrees
cosm1: Relative error approximations for function arguments near unity
use Math::Cephes qw(:hypers);
imports

acosh: Inverse hyperbolic cosine
asinh: Inverse hyperbolic sine
atanh: Inverse hyperbolic tangent
cosh: Hyperbolic cosine
sinh: Hyperbolic sine
tanh: Hyperbolic tangent
use Math::Cephes qw(:explog);
imports

exp: Exponential function
expxx: exp(x*x)
exp10: Base 10 exponential function (Common antilogarithm)
exp2: Base 2 exponential function
log: Natural logarithm
log10: Common logarithm
log2: Base 2 logarithm
log1p,expm1: Relative error approximations for function arguments near unity.
use Math::Cephes qw(:cmplx);
imports

new_cmplx: create a new complex number object
cabs: Complex absolute value
cacos: Complex circular arc cosine
cacosh: Complex inverse hyperbolic cosine
casin: Complex circular arc sine
casinh: Complex inverse hyperbolic sine
catan: Complex circular arc tangent
catanh: Complex inverse hyperbolic tangent
ccos: Complex circular cosine
ccosh: Complex hyperbolic cosine
ccot: Complex circular cotangent
cexp: Complex exponential function
clog: Complex natural logarithm
cadd: add two complex numbers
csub: subtract two complex numbers
cmul: multiply two complex numbers
cdiv: divide two complex numbers
cmov: copy one complex number to another
cneg: negate a complex number
cpow: Complex power function
csin: Complex circular sine
csinh: Complex hyperbolic sine
csqrt: Complex square root
ctan: Complex circular tangent
ctanh: Complex hyperbolic tangent
use Math::Cephes qw(:utils);
imports

cbrt: Cube root
ceil: ceil
drand: Pseudorandom number generator
fabs: Absolute value
fac: Factorial function
floor: floor
frexp: frexp
ldexp: multiplies x by 2**n.
lrand: Pseudorandom number generator
lsqrt: Integer square root
pow: Power function
powi: Real raised to integer power
round: Round double to nearest or even integer valued double
sqrt: Square root
use Math::Cephes qw(:bessels);
imports

i0: Modified Bessel function of order zero
i0e: Modified Bessel function of order zero, exponentially scaled
i1: Modified Bessel function of order one
i1e: Modified Bessel function of order one, exponentially scaled
iv: Modified Bessel function of noninteger order
j0: Bessel function of order zero
j1: Bessel function of order one
jn: Bessel function of integer order
jv: Bessel function of noninteger order
k0: Modified Bessel function, third kind, order zero
k0e: Modified Bessel function, third kind, order zero, exponentially scaled
k1: Modified Bessel function, third kind, order one
k1e: Modified Bessel function, third kind, order one, exponentially scaled
kn: Modified Bessel function, third kind, integer order
y0: Bessel function of the second kind, order zero
y1: Bessel function of second kind of order one
yn: Bessel function of second kind of integer order
yv: Bessel function Yv with noninteger v
use Math::Cephes qw(:dists);
imports

bdtr: Binomial distribution
bdtrc: Complemented binomial distribution
bdtri: Inverse binomial distribution
btdtr: Beta distribution
chdtr: Chi-square distribution
chdtrc: Complemented Chi-square distribution
chdtri: Inverse of complemented Chi-square distribution
fdtr: F distribution
fdtrc: Complemented F distribution
fdtri: Inverse of complemented F distribution
gdtr: Gamma distribution function
gdtrc: Complemented gamma distribution function
nbdtr: Negative binomial distribution
nbdtrc: Complemented negative binomial distribution
nbdtri: Functional inverse of negative binomial distribution
ndtr: Normal distribution function
ndtri: Inverse of Normal distribution function
pdtr: Poisson distribution
pdtrc: Complemented poisson distribution
pdtri: Inverse Poisson distribution
stdtr: Students t distribution
stdtri: Functional inverse of Students t distribution
use Math::Cephes qw(:gammas);
imports

fac: Factorial function
gamma: Gamma function
igam: Incomplete gamma integral
igamc: Complemented incomplete gamma integral
igami: Inverse of complemented imcomplete gamma integral
psi: Psi (digamma) function
rgamma: Reciprocal gamma function
use Math::Cephes qw(:betas);
imports

beta: Beta function
incbet: Incomplete beta integral
incbi: Inverse of imcomplete beta integral
lbeta: Natural logarithm of |beta|
use Math::Cephes qw(:elliptics);
imports

ellie: Incomplete elliptic integral of the second kind
ellik: Incomplete elliptic integral of the first kind
ellpe: Complete elliptic integral of the second kind
ellpj: Jacobian Elliptic Functions
ellpk: Complete elliptic integral of the first kind
use Math::Cephes qw(:hypergeometrics);
imports

hyp2f0: Gauss hypergeometric function F
hyp2f1: Gauss hypergeometric function F
hyperg: Confluent hypergeometric function
onef2: Hypergeometric function 1F2
threef0: Hypergeometric function 3F0
use Math::Cephes qw(:misc);
imports

airy: Airy function
bernum: Bernoulli numbers
dawsn: Dawsons Integral
ei: Exponential integral
erf: Error function
erfc: Complementary error function
expn: Exponential integral En
fresnl: Fresnel integral
plancki: Integral of Plancks black body radiation formula
polylog: Polylogarithm function
shichi: Hyperbolic sine and cosine integrals
sici: Sine and cosine integrals
simpson: Simpsons rule to find an integral
spence: Dilogarithm
struve: Struve function
vecang: angle between two vectors
zeta: Riemann zeta function of two arguments
zetac: Riemann zeta function
use Math::Cephes qw(:fract);
imports

new_fract: create a new fraction object
radd: add two fractions
rmul: multiply two fractions
rsub: subtracttwo fractions
rdiv: divide two fractions
euclid: finds the greatest common divisor

FOX Calculator is a desktop calculator written in FOX.
The FOX Calculator is a simple desktop calculator geared toward the programmer.
It supports not only a full complement scientific functions, but also common operations that programmers need, such as bitwise operations, bitwise shifting, and base-2 logarithm and exponents, and numeric conversion between hexadecimal, octal, binary, and decimal.
It implements correct operator precedences, and features a constant memory which permanently stores its value even if you exit the calculator and restart it later.
Main features:
- + Addition
- - Substraction
- * Multiplication
- / Floating point division
- AND Bit-wise logical and
- OR Bit-wise logical or
- XOR Bit-wise logical exclusive or
- NOT Bit-wise logical not
- SHL Bit-wise shift left
- SHR Bit-wise shift right
- SAR Bit-wise signed shift right (hit the "inv" button first)
- mod Integer modulo
- div Integer division (hit the "inv" button first
- sin Sine
- cos Cosine
- tan Tangent
- asin Inverse sine or arc sine (hit the "inv" button first)
- acos Inverse cosine
- atan Inverse tangent
- sinh Hyperbolic sine (hit the "hyp" button first)
- cosh Hyperbolic cosine
- tanh Hyperbolic tangent
- asinh Inverse hyperbolic sine (hit the "hyp" and "inv"buttons first)
- acosh Inverse hyperbolic cosine
- atanh Inverse hyperbolic tangent
- log Base 10 logarithm
- ln Natural logarithm
- 2log Base 2 logarithm
- x! Factorial
- nPr Permutations
- nCr Combinations
- sqrt Square root
- x^y X raised to the power y
- 1/x Reciprocal
- 10^x Base 10 exponentiation (hit the "inv" button first)
- e^x Exponentiation
- 2^x Base 2 exponentiation
- x^1/y X raised to the power 1/y
- x^2 X squared

App::ErrorCalculator is a Perl module that contains calculations with Gaussian Error Propagation.

SYNOPSIS

# You can use the errorcalculator script instead.

require App::ErrorCalculator;
App::ErrorCalculator->run();

# Using the script:
# errorcalculator

errorcalculator and its implementing Perl module App::ErrorCalculator is a Gtk2 tool that lets you do calculations with automatic error propagation.

Start the script, enter a function into the function entry field, select an input file, select an output file and hit the Run Calculation button to have all data in the input field processed according to the function and written to the output file.
Functions should consist of a function name followed by an equals sign and a function body. All identifiers (both the function name and all variables in the function body) should start with a letter. They may contain letters, numbers and underscores.

The function body may contain any number of constants, variables, operators, functions and parenthesis. The exact syntax can be obtained by reading the manual page for Math::Symbolic::Parser. Arithmetic operators (+ - * / ^) are supported. The caret indicates exponentiation. Trigonometric, inverse trigonometric and hyperbolic functions are implemented (sin cos tan cot asin acos atan acot sinh cosh asinh acoth). log indicates a natural logarithm.

Additionally, you may include derivatives in the formula which will be evaluated (analytically) for you. The syntax for this is: partial_derivative(a * x + b, x). (Would evaluate to a.)

In order to allow for errors in constants, the program uses the Math::SymbolicX::Error parser extension: use the error(1 +/- 0.2) function to include constants with associated uncertainties in your formulas.

The input files may be of any format recognized by the Spreadsheet::Read module. That means: Excel sheets, OpenOffice (1.0) spreadsheets, CSV (comma separated values) text files, etc.

The program reads tabular data from the spreadsheet file. It expects each column to contain the data for one variable in the formula.

a, b, c
1, 2, 3
4, 5, 6
7, 8, 9

This would assign 1 to the variable a, 2 to b and 3 to c and then evaluate the formula with those values. The result would be written to the first data line of the output file. Then, the data in the next row will be used and so on. If a column is missing data, it is assumed to be zero.

Since this is about errors, you can declare any number of errors to the numbers as demonstrated below:

a, a_1, a_2, b, b_1
1, 0.2, 0.1, 2, 0.3
4, 0.3, 0.3, 5, 0.6
7, 0.4, 0,1, 8, 0.9

Apart from dropping c for brevity, this example input adds columns for the errors of a and b. a has two errors: a_1 and a_2. b only has one error b_1 which corresponds to the error a_1. When calculating, a will be used as 1 +/- 0.2 +/- 0.1 in the first calculation and b as 2 +/- 0.3 +/- 0. The error propagation is implemented using Number::WithError so thats where you go for details.

The output file will be a CSV file similar to the input examples above.