Mercurial > octave
comparison libinterp/corefcn/__isprimelarge__.cc @ 31607:aac27ad79be6 stable
maint: Re-indent code after switch to using namespace macros.
* build-env.h, build-env.in.cc, Cell.h, __betainc__.cc, __eigs__.cc,
__ftp__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __magick_read__.cc,
__pchip_deriv__.cc, amd.cc, base-text-renderer.cc, base-text-renderer.h,
besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.h, call-stack.cc,
call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, dasrt.cc, data.cc,
debug.cc, defaults.cc, defaults.h, det.cc, display.cc, display.h, dlmread.cc,
dynamic-ld.cc, dynamic-ld.h, ellipj.cc, environment.cc, environment.h,
error.cc, error.h, errwarn.h, event-manager.cc, event-manager.h,
event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h, fft.cc, fft2.cc,
file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h,
gcd.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h,
graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, gsvd.cc, gtk-manager.cc,
gtk-manager.h, help.cc, help.h, hook-fcn.cc, hook-fcn.h, input.cc, input.h,
interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h,
inv.cc, jsondecode.cc, jsonencode.cc, latex-text-renderer.cc,
latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h,
lookup.cc, ls-hdf5.cc, ls-mat4.cc, ls-mat5.cc, lsode.cc, lu.cc, mappers.cc,
matrix_type.cc, max.cc, mex.cc, mexproto.h, mxarray.h, mxtypes.in.h,
oct-errno.in.cc, oct-hdf5-types.cc, oct-hist.cc, oct-hist.h, oct-map.cc,
oct-map.h, oct-opengl.h, oct-prcstrm.h, oct-process.cc, oct-process.h,
oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.h,
octave-default-image.h, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc,
pow2.cc, pr-output.cc, psi.cc, qr.cc, quadcc.cc, rand.cc, regexp.cc,
settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xpow.cc,
sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfns.cc, svd.cc,
syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h,
symtab.cc, symtab.h, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h,
text-renderer.cc, text-renderer.h, time.cc, toplev.cc, typecast.cc,
url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h,
variables.cc, variables.h, xdiv.cc, __delaunayn__.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audioread.cc, convhulln.cc,
gzip.cc, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc,
cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h,
cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h,
cdef-utils.cc, cdef-utils.h, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-mat.h, ov-base-scalar.cc, ov-base.cc, ov-base.h, ov-bool-mat.cc,
ov-bool-mat.h, ov-bool-sparse.cc, ov-bool.cc, ov-builtin.h, ov-cell.cc,
ov-ch-mat.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h,
ov-complex.cc, ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc,
ov-dld-fcn.h, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-float.cc,
ov-flt-complex.cc, ov-flt-cx-diag.cc, ov-flt-cx-mat.cc, ov-flt-re-diag.cc,
ov-flt-re-mat.cc, ov-flt-re-mat.h, ov-intx.h, ov-java.cc, ov-lazy-idx.cc,
ov-legacy-range.cc, ov-magic-int.cc, ov-mex-fcn.cc, ov-mex-fcn.h,
ov-null-mat.cc, ov-perm.cc, ov-range.cc, ov-re-diag.cc, ov-re-mat.cc,
ov-re-mat.h, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc, ov-struct.cc,
ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, ovl.h,
octave.cc, octave.h, op-b-sbm.cc, op-bm-sbm.cc, op-cs-scm.cc, op-fm-fcm.cc,
op-fs-fcm.cc, op-s-scm.cc, op-scm-cs.cc, op-scm-s.cc, op-sm-cs.cc, ops.h,
anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h,
comment-list.cc, comment-list.h, filepos.h, lex.h, oct-lvalue.cc, oct-lvalue.h,
parse.h, profiler.cc, profiler.h, pt-anon-scopes.cc, pt-anon-scopes.h,
pt-arg-list.cc, pt-arg-list.h, pt-args-block.cc, pt-args-block.h,
pt-array-list.cc, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc,
pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc,
pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.h,
pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h,
pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h,
pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h,
pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h,
pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-spmd.cc, pt-spmd.h,
pt-stmt.cc, pt-stmt.h, pt-tm-const.cc, pt-tm-const.h, pt-unop.cc, pt-unop.h,
pt-walk.cc, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h,
idx-vector.cc, idx-vector.h, range-fwd.h, CollocWt.cc, CollocWt.h,
aepbalance.cc, aepbalance.h, chol.cc, chol.h, gepbalance.cc, gepbalance.h,
gsvd.cc, gsvd.h, hess.cc, hess.h, lo-mappers.cc, lo-mappers.h, lo-specfun.cc,
lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h,
oct-norm.cc, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc,
oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h,
randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h,
sparse-chol.cc, sparse-chol.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc,
sparse-qr.h, svd.cc, svd.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h,
file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h,
lo-sysinfo.cc, lo-sysinfo.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h,
oct-group.cc, oct-group.h, oct-password.cc, oct-password.h, oct-syscalls.cc,
oct-syscalls.h, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h,
action-container.cc, action-container.h, base-list.h, cmd-edit.cc, cmd-edit.h,
cmd-hist.cc, cmd-hist.h, f77-fcn.h, file-info.cc, file-info.h,
lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc, lo-hash.h, lo-ieee.h,
lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h, oct-base64.cc,
oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h, oct-mutex.cc,
oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h, oct-sparse.cc,
oct-sparse.h, oct-string.h, octave-preserve-stream-state.h, pathsearch.cc,
pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc,
url-transfer.h:
Re-indent code after switch to using namespace macros.
| author | Rik <rik@octave.org> |
|---|---|
| date | Thu, 01 Dec 2022 18:02:15 -0800 |
| parents | e88a07dec498 |
| children | 597f3ee61a48 |
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| 31605:e88a07dec498 | 31607:aac27ad79be6 |
|---|---|
| 115 // Miller-Rabin test with the first 12 primes. | 115 // Miller-Rabin test with the first 12 primes. |
| 116 // If the number passes all 12 tests, then it is prime. | 116 // If the number passes all 12 tests, then it is prime. |
| 117 // If it fails any, then it is composite. | 117 // If it fails any, then it is composite. |
| 118 // The first 12 primes suffice to test all 64-bit integers. | 118 // The first 12 primes suffice to test all 64-bit integers. |
| 119 return millerrabin ( 2, d, r, n) && millerrabin ( 3, d, r, n) | 119 return millerrabin ( 2, d, r, n) && millerrabin ( 3, d, r, n) |
| 120 && millerrabin ( 5, d, r, n) && millerrabin ( 7, d, r, n) | 120 && millerrabin ( 5, d, r, n) && millerrabin ( 7, d, r, n) |
| 121 && millerrabin (11, d, r, n) && millerrabin (13, d, r, n) | 121 && millerrabin (11, d, r, n) && millerrabin (13, d, r, n) |
| 122 && millerrabin (17, d, r, n) && millerrabin (19, d, r, n) | 122 && millerrabin (17, d, r, n) && millerrabin (19, d, r, n) |
| 123 && millerrabin (23, d, r, n) && millerrabin (29, d, r, n) | 123 && millerrabin (23, d, r, n) && millerrabin (29, d, r, n) |
| 124 && millerrabin (31, d, r, n) && millerrabin (37, d, r, n); | 124 && millerrabin (31, d, r, n) && millerrabin (37, d, r, n); |
| 125 | 125 |
| 126 /* | 126 /* |
| 127 Mathematical references for the curious as to why we need only | 127 Mathematical references for the curious as to why we need only |
| 128 the 12 smallest primes for testing all 64-bit numbers: | 128 the 12 smallest primes for testing all 64-bit numbers: |
| 129 (1) https://oeis.org/A014233 | 129 (1) https://oeis.org/A014233 |
| 160 | 160 |
| 161 // This function is intended for internal use by isprime.m, | 161 // This function is intended for internal use by isprime.m, |
| 162 // so the following error handling should not be necessary. But it is | 162 // so the following error handling should not be necessary. But it is |
| 163 // probably good practice for any curious users calling it directly. | 163 // probably good practice for any curious users calling it directly. |
| 164 uint64NDArray vec = args(0).xuint64_array_value | 164 uint64NDArray vec = args(0).xuint64_array_value |
| 165 ("__isprimelarge__: unable to convert input. Call isprime() instead."); | 165 ("__isprimelarge__: unable to convert input. Call isprime() instead."); |
| 166 | 166 |
| 167 boolNDArray retval (vec.dims(), false); | 167 boolNDArray retval (vec.dims(), false); |
| 168 | 168 |
| 169 for (octave_idx_type i = vec.numel() - 1; i >= 0; i--) | 169 for (octave_idx_type i = vec.numel() - 1; i >= 0; i--) |
| 170 retval(i) = isprimescalar (vec(i)); | 170 retval(i) = isprimescalar (vec(i)); |
| 203 inline | 203 inline |
| 204 uint64_t | 204 uint64_t |
| 205 localgcd (uint64_t a, uint64_t b) | 205 localgcd (uint64_t a, uint64_t b) |
| 206 { | 206 { |
| 207 return (a <= b) ? ( (b % a == 0) ? a : localgcd (a, b % a) ) | 207 return (a <= b) ? ( (b % a == 0) ? a : localgcd (a, b % a) ) |
| 208 : ( (a % b == 0) ? b : localgcd (a % b, b) ); | 208 : ( (a % b == 0) ? b : localgcd (a % b, b) ); |
| 209 } | 209 } |
| 210 | 210 |
| 211 // This function implements a textbook version of the Pollard Rho | 211 // This function implements a textbook version of the Pollard Rho |
| 212 // factorization algorithm with Brent update. | 212 // factorization algorithm with Brent update. |
| 213 // The code is short and simple, but the math behind it is complicated. | 213 // The code is short and simple, but the math behind it is complicated. |
| 261 { | 261 { |
| 262 if (args.length () != 1) | 262 if (args.length () != 1) |
| 263 print_usage (); | 263 print_usage (); |
| 264 | 264 |
| 265 octave_uint64 inp = args(0).xuint64_scalar_value | 265 octave_uint64 inp = args(0).xuint64_scalar_value |
| 266 ("__pollardrho__: unable to convert input. Call factor() instead."); | 266 ("__pollardrho__: unable to convert input. Call factor() instead."); |
| 267 | 267 |
| 268 uint64_t n = inp; | 268 uint64_t n = inp; |
| 269 octave_uint64 retval = pollardrho (n); | 269 octave_uint64 retval = pollardrho (n); |
| 270 | 270 |
| 271 return ovl (retval); | 271 return ovl (retval); |