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view liboctave/array/Range.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
* mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc,
ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc,
EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc,
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ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc,
annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc,
dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc,
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marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc,
octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc,
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jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc,
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spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
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__delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc,
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colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
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op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc,
op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc,
op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc,
op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc,
op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc,
op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc,
op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc,
op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc,
op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, lex.ll, oct-parse.in.yy,
pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc,
pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc,
pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc,
pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc,
pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc,
token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc,
Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc,
Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc,
Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc,
MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc,
Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc,
int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc,
uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c,
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lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc,
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oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc,
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glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c,
lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc,
oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c,
oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc,
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octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 18 Feb 2016 13:34:50 -0800 |
parents | a83e7a384ee0 |
children | 79a51b7e00b6 |
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/* Copyright (C) 1993-2015 John W. Eaton This file is part of Octave. Octave is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. Octave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H # include "config.h" #endif #include <cfloat> #include <iostream> #include <limits> #include "Range.h" #include "lo-error.h" #include "lo-mappers.h" #include "lo-math.h" #include "lo-utils.h" #include "Array-util.h" bool Range::all_elements_are_ints (void) const { // If the base and increment are ints, the final value in the range // will also be an integer, even if the limit is not. If there is one // or fewer elements only the base needs to be an integer return (! (xisnan (rng_base) || xisnan (rng_inc)) && (NINTbig (rng_base) == rng_base || rng_numel < 1) && (NINTbig (rng_inc) == rng_inc || rng_numel <= 1)); } Matrix Range::matrix_value (void) const { if (rng_numel > 0 && cache.is_empty ()) { cache.resize (1, rng_numel); // The first element must always be *exactly* the base. // E.g, -0 would otherwise become +0 in the loop (-0 + 0*increment). cache(0) = rng_base; double b = rng_base; double increment = rng_inc; for (octave_idx_type i = 1; i < rng_numel - 1; i++) cache(i) = b + i * increment; cache(rng_numel - 1) = rng_limit; } return cache; } double Range::checkelem (octave_idx_type i) const { if (i < 0 || i >= rng_numel) err_index_out_of_range (1, 1, i+1, rng_numel); if (i == 0) return rng_base; else if (i < rng_numel - 1) return rng_base + i * rng_inc; else return rng_limit; } double Range::elem (octave_idx_type i) const { #if defined (OCTAVE_ENABLE_BOUNDS_CHECK) return checkelem (i); #else if (i == 0) return rng_base; else if (i < rng_numel - 1) return rng_base + i * rng_inc; else return rng_limit; #endif } // Helper class used solely for idx_vector.loop () function call class __rangeidx_helper { public: __rangeidx_helper (double *a, double b, double i, double l, octave_idx_type n) : array (a), base (b), inc (i), limit (l), nmax (n-1) { } void operator () (octave_idx_type i) { if (i == 0) *array++ = base; else if (i < nmax) *array++ = base + i * inc; else *array++ = limit; } private: double *array, base, inc, limit; octave_idx_type nmax; }; Array<double> Range::index (const idx_vector& i) const { Array<double> retval; octave_idx_type n = rng_numel; if (i.is_colon ()) { retval = matrix_value ().reshape (dim_vector (rng_numel, 1)); } else { if (i.extent (n) != n) err_index_out_of_range (1, 1, i.extent (n), n); // throws dim_vector rd = i.orig_dimensions (); octave_idx_type il = i.length (n); // taken from Array.cc. if (n != 1 && rd.is_vector ()) rd = dim_vector (1, il); retval.clear (rd); // idx_vector loop across all values in i, // executing __rangeidx_helper (i) for each i i.loop (n, __rangeidx_helper (retval.fortran_vec (), rng_base, rng_inc, rng_limit, rng_numel)); } return retval; } // NOTE: max and min only return useful values if numel > 0. // do_minmax_body() in max.cc avoids calling Range::min/max if numel == 0. double Range::min (void) const { double retval = 0.0; if (rng_numel > 0) { if (rng_inc > 0) retval = rng_base; else { retval = rng_base + (rng_numel - 1) * rng_inc; // Require '<=' test. See note in max (). if (retval <= rng_limit) retval = rng_limit; } } return retval; } double Range::max (void) const { double retval = 0.0; if (rng_numel > 0) { if (rng_inc > 0) { retval = rng_base + (rng_numel - 1) * rng_inc; // On some machines (x86 with extended precision floating point // arithmetic, for example) it is possible that we can overshoot the // limit by approximately the machine precision even though we were // very careful in our calculation of the number of elements. // Therefore, we clip the result to the limit if it overshoots. // The test also includes equality (>= rng_limit) to have expressions // such as -5:1:-0 result in a -0 endpoint. if (retval >= rng_limit) retval = rng_limit; } else retval = rng_base; } return retval; } void Range::sort_internal (bool ascending) { if ((ascending && rng_base > rng_limit && rng_inc < 0.0) || (! ascending && rng_base < rng_limit && rng_inc > 0.0)) { std::swap (rng_base, rng_limit); rng_inc = -rng_inc; clear_cache (); } } void Range::sort_internal (Array<octave_idx_type>& sidx, bool ascending) { octave_idx_type nel = numel (); sidx.resize (dim_vector (1, nel)); octave_idx_type *psidx = sidx.fortran_vec (); bool reverse = false; if ((ascending && rng_base > rng_limit && rng_inc < 0.0) || (! ascending && rng_base < rng_limit && rng_inc > 0.0)) { std::swap (rng_base, rng_limit); rng_inc = -rng_inc; clear_cache (); reverse = true; } octave_idx_type tmp = reverse ? nel - 1 : 0; octave_idx_type stp = reverse ? -1 : 1; for (octave_idx_type i = 0; i < nel; i++, tmp += stp) psidx[i] = tmp; } Matrix Range::diag (octave_idx_type k) const { return matrix_value ().diag (k); } Range Range::sort (octave_idx_type dim, sortmode mode) const { Range retval = *this; if (dim == 1) { if (mode == ASCENDING) retval.sort_internal (true); else if (mode == DESCENDING) retval.sort_internal (false); } else if (dim != 0) (*current_liboctave_error_handler) ("Range::sort: invalid dimension"); return retval; } Range Range::sort (Array<octave_idx_type>& sidx, octave_idx_type dim, sortmode mode) const { Range retval = *this; if (dim == 1) { if (mode == ASCENDING) retval.sort_internal (sidx, true); else if (mode == DESCENDING) retval.sort_internal (sidx, false); } else if (dim != 0) (*current_liboctave_error_handler) ("Range::sort: invalid dimension"); return retval; } sortmode Range::is_sorted (sortmode mode) const { if (rng_numel > 1 && rng_inc > 0) mode = (mode == DESCENDING) ? UNSORTED : ASCENDING; else if (rng_numel > 1 && rng_inc < 0) mode = (mode == ASCENDING) ? UNSORTED : DESCENDING; else mode = mode ? mode : ASCENDING; return mode; } void Range::set_base (double b) { if (rng_base != b) { rng_base = b; rng_numel = numel_internal (); double tmplimit = rng_limit; if (rng_inc > 0) tmplimit = max (); else tmplimit = min (); if (tmplimit != rng_limit) rng_limit = tmplimit; clear_cache (); } } void Range::set_limit (double l) { if (rng_limit != l) { rng_limit = l; rng_numel = numel_internal (); double tmplimit = rng_limit; if (rng_inc > 0) tmplimit = max (); else tmplimit = min (); if (tmplimit != rng_limit) rng_limit = tmplimit; clear_cache (); } } void Range::set_inc (double i) { if (rng_inc != i) { rng_inc = i; rng_numel = numel_internal (); double tmplimit = rng_limit; if (rng_inc > 0) tmplimit = max (); else tmplimit = min (); if (tmplimit != rng_limit) rng_limit = tmplimit; clear_cache (); } } std::ostream& operator << (std::ostream& os, const Range& a) { double b = a.base (); double increment = a.inc (); octave_idx_type num_elem = a.numel (); if (num_elem > 1) { // First element must be the base *exactly* (-0). os << b << " "; for (octave_idx_type i = 1; i < num_elem-1; i++) os << b + i * increment << " "; } // Print out exactly the last element, rather than a calculated last element. os << a.rng_limit << "\n"; return os; } std::istream& operator >> (std::istream& is, Range& a) { is >> a.rng_base; if (is) { double tmp_rng_limit; is >> tmp_rng_limit; if (is) is >> a.rng_inc; // Clip the rng_limit to the true limit and rebuild numel, clear cache a.set_limit (tmp_rng_limit); } return is; } Range operator - (const Range& r) { return Range (-r.base (), -r.limit (), -r.inc (), r.numel ()); } Range operator + (double x, const Range& r) { Range result (x + r.base (), x + r.limit (), r.inc (), r.numel ()); if (result.rng_numel < 0) result.cache = x + r.matrix_value (); return result; } Range operator + (const Range& r, double x) { Range result (r.base () + x, r.limit () + x, r.inc (), r.numel ()); if (result.rng_numel < 0) result.cache = r.matrix_value () + x; return result; } Range operator - (double x, const Range& r) { Range result (x - r.base (), x - r.limit (), -r.inc (), r.numel ()); if (result.rng_numel < 0) result.cache = x - r.matrix_value (); return result; } Range operator - (const Range& r, double x) { Range result (r.base () - x, r.limit () - x, r.inc (), r.numel ()); if (result.rng_numel < 0) result.cache = r.matrix_value () - x; return result; } Range operator * (double x, const Range& r) { Range result (x * r.base (), x * r.limit (), x * r.inc (), r.numel ()); if (result.rng_numel < 0) result.cache = x * r.matrix_value (); return result; } Range operator * (const Range& r, double x) { Range result (r.base () * x, r.limit () * x, r.inc () * x, r.numel ()); if (result.rng_numel < 0) result.cache = r.matrix_value () * x; return result; } // C See Knuth, Art Of Computer Programming, Vol. 1, Problem 1.2.4-5. // C // C===Tolerant FLOOR function. // C // C X - is given as a Double Precision argument to be operated on. // C It is assumed that X is represented with M mantissa bits. // C CT - is given as a Comparison Tolerance such that // C 0.LT.CT.LE.3-SQRT(5)/2. If the relative difference between // C X and A whole number is less than CT, then TFLOOR is // C returned as this whole number. By treating the // C floating-point numbers as a finite ordered set note that // C the heuristic EPS=2.**(-(M-1)) and CT=3*EPS causes // C arguments of TFLOOR/TCEIL to be treated as whole numbers // C if they are exactly whole numbers or are immediately // C adjacent to whole number representations. Since EPS, the // C "distance" between floating-point numbers on the unit // C interval, and M, the number of bits in X'S mantissa, exist // C on every floating-point computer, TFLOOR/TCEIL are // C consistently definable on every floating-point computer. // C // C For more information see the following references: // C (1) P. E. Hagerty, "More On Fuzzy Floor And Ceiling," APL QUOTE // C QUAD 8(4):20-24, June 1978. Note that TFLOOR=FL5. // C (2) L. M. Breed, "Definitions For Fuzzy Floor And Ceiling", APL // C QUOTE QUAD 8(3):16-23, March 1978. This paper cites FL1 through // C FL5, the history of five years of evolutionary development of // C FL5 - the seven lines of code below - by open collaboration // C and corroboration of the mathematical-computing community. // C // C Penn State University Center for Academic Computing // C H. D. Knoble - August, 1978. static inline double tfloor (double x, double ct) { // C---------FLOOR(X) is the largest integer algebraically less than // C or equal to X; that is, the unfuzzy FLOOR function. // DINT (X) = X - DMOD (X, 1.0); // FLOOR (X) = DINT (X) - DMOD (2.0 + DSIGN (1.0, X), 3.0); // C---------Hagerty's FL5 function follows... double q = 1.0; if (x < 0.0) q = 1.0 - ct; double rmax = q / (2.0 - ct); double t1 = 1.0 + gnulib::floor (x); t1 = (ct / q) * (t1 < 0.0 ? -t1 : t1); t1 = rmax < t1 ? rmax : t1; t1 = ct > t1 ? ct : t1; t1 = gnulib::floor (x + t1); if (x <= 0.0 || (t1 - x) < rmax) return t1; else return t1 - 1.0; } static inline double tceil (double x, double ct) { return -tfloor (-x, ct); } static inline bool teq (double u, double v, double ct = 3.0 * std::numeric_limits<double>::epsilon ()) { double tu = fabs (u); double tv = fabs (v); return fabs (u - v) < ((tu > tv ? tu : tv) * ct); } octave_idx_type Range::numel_internal (void) const { octave_idx_type retval = -1; if (rng_inc == 0 || (rng_limit > rng_base && rng_inc < 0) || (rng_limit < rng_base && rng_inc > 0)) { retval = 0; } else { double ct = 3.0 * std::numeric_limits<double>::epsilon (); double tmp = tfloor ((rng_limit - rng_base + rng_inc) / rng_inc, ct); octave_idx_type n_elt = (tmp > 0.0 ? static_cast<octave_idx_type> (tmp) : 0); // If the final element that we would compute for the range is // equal to the limit of the range, or is an adjacent floating // point number, accept it. Otherwise, try a range with one // fewer element. If that fails, try again with one more // element. // // I'm not sure this is very good, but it seems to work better than // just using tfloor as above. For example, without it, the // expression 1.8:0.05:1.9 fails to produce the expected result of // [1.8, 1.85, 1.9]. if (! teq (rng_base + (n_elt - 1) * rng_inc, rng_limit)) { if (teq (rng_base + (n_elt - 2) * rng_inc, rng_limit)) n_elt--; else if (teq (rng_base + n_elt * rng_inc, rng_limit)) n_elt++; } retval = (n_elt < std::numeric_limits<octave_idx_type>::max () - 1) ? n_elt : -1; } return retval; }