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Summary of important user-visible changes
Version 2.1.0 2016-12-28
========================
• The speed of some arithmetic operations has been greatly improved.
They have previously been computed by multi-precision arithmetic
which simulates binary64 floating-point arithmetic (MPFR library).
Now, a specialized correctly rounded mathematical library (crlibm)
computes identical results 30–100 times faster. There is no
accuracy drawback, arithmetic operations will compute tight
interval enclosures as before. The following functions benefit
from this: acos, asin, atan, cos, cosh, exp, expm1, log, log10,
log1p, log2, sin, sinh, tan.
Bugfixes
• Fixed indexing expression in interval constructor for illegal
intervals of the form ‘[-inf, -inf]’ or ‘[inf, inf]’
• polyval: Fixed unnecessary warnings when evaluated on empty
intervals
• Fixed compilation errors on FreeBSD 9.3
Version 2.0.0 2016-11-20
========================
This major release contains fundamental changes to the interval
constructors. After a discussion on the P1788 mailing list, it has been
revealed that this interval package didn’t implement exceptions from the
standard for interval arithmetic correctly: Operations from IEEE Std
1788-2015 which trigger an “exception” shall return a value nonetheless.
Conformance has been improved in this new version, but may break
compatibility with previous versions.
A second big news is that the interval package comprises functions
from VERSOFT, a verification software package by Jiří Rohn, who has
generously published his work as free software this year.
Unfortunately, some of VERSOFT’s functions are encrypted and could not
be included yet.
• nai: With additional arguments, matrices of NaI (not an interval)
values can be constructed. Previously, NaI has been restricted to
be of scalar value.
• infsup: The bare interval constructor merely triggers a warning
instead of an error on illegal input, which creates empty
intervals. If input contains legitimate as well as illegal input,
only entries with illegal input will carry empty intervals.
• infsupdec: The decorated interval constructor may create interval
matrices which have NaI (not an interval) as entries. If input
contains legitimate as well as illegal input, only entries with
illegal input will carry NaI values.
• Warning and error identifiers of the constructors have been
revised.
The warning identifier ‘interval:NaI’ has been removed. Illegal
input signals an ‘interval:UndefinedOperation’ warning. If the
input is of an illegal data type or of illegal size, the
constructors signal an ‘interval:InvalidOperand’ warning.
The warning identifier ‘interval:PossiblyUndefinedOperation’ has
been renamed to ‘interval:PossiblyUndefined’ to better match the
wording in the standard document. Also, previous versions failed
to trigger this warning in cases where there is a floating point
number between boundaries U < L, which has been fixed.
• It is no longer valid to call ‘infsup (+inf, -inf)’ to create an
empty interval and the constructor will signal a warning in these
cases. This change has been made to better conform to the
‘numsToInterval’ function from the interval standard.
You may create empty intervals with either ‘infsup ()’ or
‘infsupdec ()’ or ‘empty ()’.
• inf, sup: If the input is NaI (not an interval), these functions
return NaN (not a number) values instead of an error.
• Output of intervals in hexadecimal form discriminates between
subnormal boundaries and normal boundaries. Subnormal numbers
start with “0x0.” whereas normal numbers start with “0x1.”.
Also, hexadecimal form has been changed to lower case.
• resize: New interval elements are initialized with zero instead of
empty intervals to better match the corresponding Octave function.
• Interval constructors may broadcast column and row vectors.
• Performance improvements: factorial on large arguments; plot and
plot3 on input that is plotted as a line.
• New interval functions: tril, triu, qr
• New functions which have been ported from Jiří Rohn’s VERSOFT:
chol, vereigback, vereigvec, verintlinineqs, verinvnonneg,
verlinineqnn, verlinprog
• recip, sqr: The functions have been removed, after they have been
deprecated in version 1.4.0.
• plot3: Fixed plotting with gnuplot and fixed an issue where the
figure did not switch from 2D to 3D after plotting.
• expm1: Fixed documentation, the function computes exp (X) - 1
instead of exp (X - 1).
• norm: Fixed an error where the Hamming norm of empty intervals was
non-empty.
Version 1.5.0 2016-05-31
========================
• norm: Added subordinate matrix norms and the max norm
• strictsubset: New interval comparison function
• Package documentation: Added new example (Cameleon problem), and
the growing list of examples has been split into several web pages.
• Package documentation: Updated recommendations to install and load
the package. The autoload feature will be removed in Octave 4.2.0.
(patch #8981, thanks to juanpi)
• Support package installation in Octave 4.1.0+ (bug #47288)
Version 1.4.1 2016-02-13
========================
• Fixed a compile error for 32-bit systems during package
installation (bug #47100)
Version 1.4.0 2016-02-09
========================
• mpower: Improved accuracy and speed. The interval matrix square
can now be computed without dependency errors and with tightest
accuracy.
• factorial: New interval arithmetic operation
• expm, norm: New interval matrix operations
• The functions recip and sqr have been deprecated and will be
removed in a future release. Please use ‘1 ./ X’ and ‘X .^ 2’
instead.
Bugfixes
• bitunpack, interval_bitpack: The order of inf/sup/dec parts has
been fixed. The function documentation describes how the functions
behave on little-endian and big-endian systems.
Version 1.3.0 2015-12-22
========================
• postpad, prepad, subsasgn: Implicit new elements during subscript
assignment and padding have been initialized with empty intervals
before this release. This behavior has changed. Now, the implicit
new element are initialized with zero to make a correct interval
extension of the corresponding built-in function.
• fsolve: New function to solve (systems of) equations and compute
the inverse of a set under a function
• ctc_intersect, ctc_union: Utility functions for contractors and the
fsolve function
• det, prod, recip: New interval arithmetic functions
• diag: New utility function to create diagonal matrices or extract
vectors from diagonals of matrices
• decorationpart: Choose between different return types with a second
parameter
• For several functions it is now possible to broadcast row vectors
against column vectors or vectors against matrices.
• The user manual has been restructured for better accessibility by
new users. A bunch of usage examples demonstrates the package’s
capabilities.
Bugfixes
• sum, sumabs, sumsq: Fixed result for matrices of size zero
• powrev1, powrev2: Fixed indexing for vectors
Version 1.2.0 2015-10-01
========================
• The output format for intervals has been changed. The number of
decimal places now respects what has been set by the user with the
‘format short’ or ‘format long’ command, and is much shorter by
default. Also it is possible to use ‘format hex’. The old format
can be accessed with the ‘intervaltotext’ function.
• fminsearch: New optimizer function for finding the minimum value of
a function over interval constraints using the Skelboe-Moore
algorithm
• fzero: Changed function parameters to support optimset options
• power: Improved speed of the general interval power function and
monomials with the notation x .^ n
• plot, plot3: Added support for colormaps
Bugfixes
• mldivide: Fixed algorithm to handle more matrices without error
• bisect: Fixed an error during bisection of singleton intervals
(thanks to Helmut for finding this during OctConf 2015)
Version 1.1.0 2015-08-03
========================
• meshgrid, mince: New utility functions to help plotting of interval
functions
• linspace: New interval arithmetic function
• intersect, max, min, union: Allow evaluation as aggregate functions
within an interval matrix along a common dimension
• Improvements to the documentation
• Added cross-references between package documentation and
function reference
• Extended information about interval arithmetic in general
• Extended information about implemented IEEE Std 1788-2015
functions and fixed references to the standard document
• Added information about plotting intervals
• Simplified package description
• Graphics with higher resolutions, demo of interval sombrero
function plot on first page, and minor style fixes
Bugfixes
• plot3: Fixed plotting of interval edges when plotting several
intervals at once using matrices
Version 1.0.0 2015-06-13
========================
• IEEE Std 1788-2015, IEEE standard for interval arithmetic, was
approved on June 11. To mark the occasion, the major version
number has been raised.
• All interval constructors have been extended to create interval
matrices from a single string. Commas or spaces may be used as a
column separator (consecutive separators are trimmed). Semicolon
and new line characters can be used as a row separator.
• hdist, idist, sdist, smig: New interval numeric functions
• User manual: Relicensed under GPL, added examples from the former
Octave SIMP package, and various minor improvements.
Bugfixes
• mtimes: Fixed matrix-vector multiplication of decorated intervals
• Fixed a linking error in mkoctfile that could prevent package
installation (bug #45280)
Version 0.2.1 2015-05-30
========================
• plot, plot3: New interval plotting functions. Pay attention to the
included examples, which can be executed with ‘demo @infsup/plot’
and ‘demo @infsup/plot3’ respectively.
• polyval: New interval arithmetic algorithm
• bisect: New set operation for bisecting algorithms
• sinrev, cosrev, tanrev, atan2rev1, atan2rev2: Now allow non-scalar
arguments
• Simplified licensing: Relicensed parts of the software that were
not under GPL
• Updated information for citation of the package
Bugfixes
• Fixed generation of the manual in PDF format
• subsasgn: Fixed cases where decoration could be lost (bug #42735)
Version 0.2.0 2015-05-03
========================
• User manual included in the package, see doc/manual.texinfo
• New utility functions: cat, postpad, prepad, reshape, resize
• and, or: Removed deprecated functions
• Improved display output for cell arrays and new function: disp
• Minor performance improvements (all decorated interval functions,
horzcat, vertcat)
Bugfixes
• issquare, isrow, iscolumn: Fixed compatibility issues with GNU
Octave 4.0
• cbrt: Allow negative values as parameter
• cot: Fixed accuracy for x = 0
• cos, csc, sec, sin: Fixed correctness in certain cases
• Prevent multibyte characters in Microsoft Windows console
Version 0.1.5 2015-04-06
========================
• Implicit decoration of bare intervals triggers a warning now and
can be allowed or forbidden by the user. Implicit decoration of
bare interval literals is not affected.
• newdec: New operation for explicit promotion of bare intervals into
decorated intervals (without warning).
• Decorated interval literals with illegal decoration are no longer
allowed and produce NaIs.
• hull: In contrast to the union function, the interval constructor
is no longer considered a set operation and can create intervals
with a non-trivial decoration.
• setdiff, setxor: New set operations
• intersect, union: Renamed set operations; the old function names
(and, or) are hereby deprecated and are going to be removed in the
next release.
• intervaltotext, intervaltoexact: Decimal fractions no longer omit
zero before the point, and unnecessary trailing decimal places can
be omitted more consistently and in more cases than before (also
affects console output). Improved accuracy and performance with
support for interval matrices.
Bugfixes
• mtimes, mldivide: Support for broadcasting of scalar parameters
• nextout: Support for decorated intervals
• An error in GNU Octave core, which could lead to lost or wrong
interval decorations, no longer affects decorated intervals
(bug #42735)
• Some errors in the function documentation have been fixed (thanks
to doctest-for-matlab and Colin’s texinfo compatibility patches)
• Fixed interval field access on Windows
Version 0.1.4 2015-03-15
========================
• New interval constructors: hull, midrad
• New interval arithmetic functions: cbrt, cot, coth, csc, csch,
dilog, ei, erf, erfc, gamma, gammaln, psi, rsqrt, sec, sech
• mtimes: Support for fast, less accurate evaluation using BLAS
routines
• mldivide, mrdivide, inv: Improved performance by using faster
mtimes
• infsup, infsupdec: Enabled broadcasting of scalar boundaries
• rad: May compute mid and rad simultaneously
• subsref: Access to interval properties using field syntax: x.inf
and x.sup
Version 0.1.3 2015-02-24
========================
• Fixed a compile error that could possibly occur during package
installation
Version 0.1.2 2015-02-22
========================
• New interval arithmetic functions: nthroot, hypot, log1p, expm1
• lu: New operation for LU(P) decomposition of interval matrices
• nai: New decorated interval constant
• mldivide, mrdivide, inv: Greatly improved accuracy and performance
of the linear solver
• Improved accuracy of vector sums, dot products, pownrev, and
powrev2
• powrev1, powrev2, pownrev, mulrev: Now allow non-scalar arguments
• overlap: Renamed one overlapping state from equal to equals
• mulrevtopair: No longer available, use mulrev with two output
parameters for two-output division
• setdec: No longer available, use infsupdec instead
• Small performance improvements
Bugfixes
• Compatibility with GNU Octave 4.0 (bug #43925)
• Build problems during package installation with environment
variables
• iscommoninterval: The decorated variant must return true for common
intervals without com decoration
• eq: The decorated variant must not consider the decoration value
• Several decorated functions: When evaluated on a subset of the
function’s domain, the result’s decoration must be dac if the
function’s restriction to that subset is continuous
• Decorated boolean functions: Must return false when evaluated on
NaI input
• Interval constructors: A PossibleUndefined warning must be issued
if an interval is created from two very close decimal numbers
(which can not be separated in the floating-point context) where
the lower boundary is greater than the upper boundary when compared
with infinite precision
• Interval constructors: NaNs must produce empty intervals
• Decorated interval constructor: Illegal decorations for empty
intervals must be adjusted to trv, and illegal decoration com for
unbounded intervals must be adjusted to dac.
• cancelminus/cancelplus: The functions returned wrong results if the
interval widths could not be compared in double-precision
• cos: Accuracy for x = [0] improved
• pow, powrev1, powrev2: The function must be defined for x = 0 and
y > 0
• All reverse operations: Must return a trivial decoration
information at best (the only exception is mulrev)
Version 0.1.1 2015-02-01
========================
• Increased speed of computation for large matrices
• Improved performance for fma and dot
• mpfr_vector_dot_d: Changed syntax for faster computation on
intervals
• Decorated versions of mtimes, mldivide, mpower, inv and reduction
operations sum, dot, subabs, subsquare
• Renamed function sumsquare to sumsq in accordance with GNU Octave
function names
• New function: fzero for finding all roots of an interval arithmetic
function
Bugfixes
• nextout: Function returned wrong results
• exacttointerval: Now produces bare intervals instead of decorated
intervals in conformance with IEEE P1788
• atanh: Function returned wrong results for ±1
• dot: Function returned wrong results for some inputs
• fma: Function returned wrong results for some inputs
• infsup: Function returned wrong interval boundaries for decimal
numbers, function failed on mixed numerical and string boundaries
in single cell array parameter
• mulrevtopair: Fixed order of operands in conformance with
IEEE P1788 and wrong results when evaluated on intervals that
contain zero
Version 0.1.0 2015-01-21
========================
• Initial release version, which already contains all required
operations of the preliminary standard document IEEE P1788.
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