tmp/tmpug5uvw74/{from.md → to.md}
RENAMED
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| 1 |
+
## C compatibility <a id="numerics.c">[[numerics.c]]</a>
|
| 2 |
+
|
| 3 |
+
### Header `<stdckdint.h>` synopsis <a id="stdckdint.h.syn">[[stdckdint.h.syn]]</a>
|
| 4 |
+
|
| 5 |
+
``` cpp
|
| 6 |
+
#define __STDC_VERSION_STDCKDINT_H__ 202311L
|
| 7 |
+
|
| 8 |
+
template<class type1, class type2, class type3>
|
| 9 |
+
bool ckd_add(type1* result, type2 a, type3 b);
|
| 10 |
+
template<class type1, class type2, class type3>
|
| 11 |
+
bool ckd_sub(type1* result, type2 a, type3 b);
|
| 12 |
+
template<class type1, class type2, class type3>
|
| 13 |
+
bool ckd_mul(type1* result, type2 a, type3 b);
|
| 14 |
+
```
|
| 15 |
+
|
| 16 |
+
See also: ISO C 7.20
|
| 17 |
+
|
| 18 |
+
### Checked integer operations <a id="numerics.c.ckdint">[[numerics.c.ckdint]]</a>
|
| 19 |
+
|
| 20 |
+
``` cpp
|
| 21 |
+
template<class type1, class type2, class type3>
|
| 22 |
+
bool ckd_add(type1* result, type2 a, type3 b);
|
| 23 |
+
template<class type1, class type2, class type3>
|
| 24 |
+
bool ckd_sub(type1* result, type2 a, type3 b);
|
| 25 |
+
template<class type1, class type2, class type3>
|
| 26 |
+
bool ckd_mul(type1* result, type2 a, type3 b);
|
| 27 |
+
```
|
| 28 |
+
|
| 29 |
+
*Mandates:* Each of the types `type1`, `type2`, and `type3` is a
|
| 30 |
+
cv-unqualified signed or unsigned integer type [[basic.fundamental]].
|
| 31 |
+
|
| 32 |
+
*Remarks:* Each function template has the same semantics as the
|
| 33 |
+
corresponding type-generic macro with the same name specified in See
|
| 34 |
+
also: ISO C 7.20.
|
| 35 |
+
|
| 36 |
+
<!-- Link reference definitions -->
|
| 37 |
+
[algorithms.parallel.defns]: algorithms.md#algorithms.parallel.defns
|
| 38 |
+
[bad.alloc]: support.md#bad.alloc
|
| 39 |
+
[basic.extended.fp]: basic.md#basic.extended.fp
|
| 40 |
+
[basic.fundamental]: basic.md#basic.fundamental
|
| 41 |
+
[basic.lookup.argdep]: basic.md#basic.lookup.argdep
|
| 42 |
+
[basic.stc.thread]: basic.md#basic.stc.thread
|
| 43 |
+
[basic.types.general]: basic.md#basic.types.general
|
| 44 |
+
[c.math]: #c.math
|
| 45 |
+
[c.math.abs]: #c.math.abs
|
| 46 |
+
[c.math.fpclass]: #c.math.fpclass
|
| 47 |
+
[c.math.hypot3]: #c.math.hypot3
|
| 48 |
+
[c.math.lerp]: #c.math.lerp
|
| 49 |
+
[c.math.rand]: #c.math.rand
|
| 50 |
+
[cfenv]: #cfenv
|
| 51 |
+
[cfenv.syn]: #cfenv.syn
|
| 52 |
+
[cfenv.thread]: #cfenv.thread
|
| 53 |
+
[class.gslice]: #class.gslice
|
| 54 |
+
[class.gslice.overview]: #class.gslice.overview
|
| 55 |
+
[class.slice]: #class.slice
|
| 56 |
+
[class.slice.overview]: #class.slice.overview
|
| 57 |
+
[cmath.syn]: #cmath.syn
|
| 58 |
+
[cmplx.over]: #cmplx.over
|
| 59 |
+
[complex]: #complex
|
| 60 |
+
[complex.literals]: #complex.literals
|
| 61 |
+
[complex.member.ops]: #complex.member.ops
|
| 62 |
+
[complex.members]: #complex.members
|
| 63 |
+
[complex.numbers]: #complex.numbers
|
| 64 |
+
[complex.numbers.general]: #complex.numbers.general
|
| 65 |
+
[complex.ops]: #complex.ops
|
| 66 |
+
[complex.syn]: #complex.syn
|
| 67 |
+
[complex.transcendentals]: #complex.transcendentals
|
| 68 |
+
[complex.tuple]: #complex.tuple
|
| 69 |
+
[complex.value.ops]: #complex.value.ops
|
| 70 |
+
[cons.slice]: #cons.slice
|
| 71 |
+
[contents]: library.md#contents
|
| 72 |
+
[conv.prom]: expr.md#conv.prom
|
| 73 |
+
[conv.rank]: basic.md#conv.rank
|
| 74 |
+
[cpp.pragma]: cpp.md#cpp.pragma
|
| 75 |
+
[cpp17.copyassignable]: #cpp17.copyassignable
|
| 76 |
+
[cpp17.copyconstructible]: #cpp17.copyconstructible
|
| 77 |
+
[cpp17.equalitycomparable]: #cpp17.equalitycomparable
|
| 78 |
+
[dcl.init]: dcl.md#dcl.init
|
| 79 |
+
[dcl.init.general]: dcl.md#dcl.init.general
|
| 80 |
+
[errno]: diagnostics.md#errno
|
| 81 |
+
[execpol.type]: algorithms.md#execpol.type
|
| 82 |
+
[expr.const]: expr.md#expr.const
|
| 83 |
+
[gslice.access]: #gslice.access
|
| 84 |
+
[gslice.array.assign]: #gslice.array.assign
|
| 85 |
+
[gslice.array.comp.assign]: #gslice.array.comp.assign
|
| 86 |
+
[gslice.array.fill]: #gslice.array.fill
|
| 87 |
+
[gslice.cons]: #gslice.cons
|
| 88 |
+
[implimits]: limits.md#implimits
|
| 89 |
+
[indirect.array.assign]: #indirect.array.assign
|
| 90 |
+
[indirect.array.comp.assign]: #indirect.array.comp.assign
|
| 91 |
+
[indirect.array.fill]: #indirect.array.fill
|
| 92 |
+
[input.iterators]: iterators.md#input.iterators
|
| 93 |
+
[input.output]: input.md#input.output
|
| 94 |
+
[iostate.flags]: input.md#iostate.flags
|
| 95 |
+
[istream.formatted]: input.md#istream.formatted
|
| 96 |
+
[iterator.concept.contiguous]: iterators.md#iterator.concept.contiguous
|
| 97 |
+
[iterator.requirements.general]: iterators.md#iterator.requirements.general
|
| 98 |
+
[library.c]: library.md#library.c
|
| 99 |
+
[linalg]: #linalg
|
| 100 |
+
[linalg.algs.blas1]: #linalg.algs.blas1
|
| 101 |
+
[linalg.algs.blas1.add]: #linalg.algs.blas1.add
|
| 102 |
+
[linalg.algs.blas1.asum]: #linalg.algs.blas1.asum
|
| 103 |
+
[linalg.algs.blas1.complexity]: #linalg.algs.blas1.complexity
|
| 104 |
+
[linalg.algs.blas1.copy]: #linalg.algs.blas1.copy
|
| 105 |
+
[linalg.algs.blas1.dot]: #linalg.algs.blas1.dot
|
| 106 |
+
[linalg.algs.blas1.givens]: #linalg.algs.blas1.givens
|
| 107 |
+
[linalg.algs.blas1.givens.lartg]: #linalg.algs.blas1.givens.lartg
|
| 108 |
+
[linalg.algs.blas1.givens.rot]: #linalg.algs.blas1.givens.rot
|
| 109 |
+
[linalg.algs.blas1.iamax]: #linalg.algs.blas1.iamax
|
| 110 |
+
[linalg.algs.blas1.matfrobnorm]: #linalg.algs.blas1.matfrobnorm
|
| 111 |
+
[linalg.algs.blas1.matinfnorm]: #linalg.algs.blas1.matinfnorm
|
| 112 |
+
[linalg.algs.blas1.matonenorm]: #linalg.algs.blas1.matonenorm
|
| 113 |
+
[linalg.algs.blas1.nrm2]: #linalg.algs.blas1.nrm2
|
| 114 |
+
[linalg.algs.blas1.scal]: #linalg.algs.blas1.scal
|
| 115 |
+
[linalg.algs.blas1.ssq]: #linalg.algs.blas1.ssq
|
| 116 |
+
[linalg.algs.blas1.swap]: #linalg.algs.blas1.swap
|
| 117 |
+
[linalg.algs.blas2]: #linalg.algs.blas2
|
| 118 |
+
[linalg.algs.blas2.gemv]: #linalg.algs.blas2.gemv
|
| 119 |
+
[linalg.algs.blas2.hemv]: #linalg.algs.blas2.hemv
|
| 120 |
+
[linalg.algs.blas2.rank1]: #linalg.algs.blas2.rank1
|
| 121 |
+
[linalg.algs.blas2.rank2]: #linalg.algs.blas2.rank2
|
| 122 |
+
[linalg.algs.blas2.symherrank1]: #linalg.algs.blas2.symherrank1
|
| 123 |
+
[linalg.algs.blas2.symv]: #linalg.algs.blas2.symv
|
| 124 |
+
[linalg.algs.blas2.trmv]: #linalg.algs.blas2.trmv
|
| 125 |
+
[linalg.algs.blas2.trsv]: #linalg.algs.blas2.trsv
|
| 126 |
+
[linalg.algs.blas3]: #linalg.algs.blas3
|
| 127 |
+
[linalg.algs.blas3.gemm]: #linalg.algs.blas3.gemm
|
| 128 |
+
[linalg.algs.blas3.inplacetrsm]: #linalg.algs.blas3.inplacetrsm
|
| 129 |
+
[linalg.algs.blas3.rank2k]: #linalg.algs.blas3.rank2k
|
| 130 |
+
[linalg.algs.blas3.rankk]: #linalg.algs.blas3.rankk
|
| 131 |
+
[linalg.algs.blas3.trmm]: #linalg.algs.blas3.trmm
|
| 132 |
+
[linalg.algs.blas3.trsm]: #linalg.algs.blas3.trsm
|
| 133 |
+
[linalg.algs.blas3.xxmm]: #linalg.algs.blas3.xxmm
|
| 134 |
+
[linalg.algs.reqs]: #linalg.algs.reqs
|
| 135 |
+
[linalg.conj]: #linalg.conj
|
| 136 |
+
[linalg.conj.conjugated]: #linalg.conj.conjugated
|
| 137 |
+
[linalg.conj.conjugatedaccessor]: #linalg.conj.conjugatedaccessor
|
| 138 |
+
[linalg.conj.intro]: #linalg.conj.intro
|
| 139 |
+
[linalg.conjtransposed]: #linalg.conjtransposed
|
| 140 |
+
[linalg.general]: #linalg.general
|
| 141 |
+
[linalg.helpers]: #linalg.helpers
|
| 142 |
+
[linalg.helpers.abs]: #linalg.helpers.abs
|
| 143 |
+
[linalg.helpers.concepts]: #linalg.helpers.concepts
|
| 144 |
+
[linalg.helpers.conj]: #linalg.helpers.conj
|
| 145 |
+
[linalg.helpers.imag]: #linalg.helpers.imag
|
| 146 |
+
[linalg.helpers.mandates]: #linalg.helpers.mandates
|
| 147 |
+
[linalg.helpers.precond]: #linalg.helpers.precond
|
| 148 |
+
[linalg.helpers.real]: #linalg.helpers.real
|
| 149 |
+
[linalg.layout.packed]: #linalg.layout.packed
|
| 150 |
+
[linalg.layout.packed.cons]: #linalg.layout.packed.cons
|
| 151 |
+
[linalg.layout.packed.obs]: #linalg.layout.packed.obs
|
| 152 |
+
[linalg.layout.packed.overview]: #linalg.layout.packed.overview
|
| 153 |
+
[linalg.overview]: #linalg.overview
|
| 154 |
+
[linalg.reqs]: #linalg.reqs
|
| 155 |
+
[linalg.reqs.alg]: #linalg.reqs.alg
|
| 156 |
+
[linalg.reqs.val]: #linalg.reqs.val
|
| 157 |
+
[linalg.scaled]: #linalg.scaled
|
| 158 |
+
[linalg.scaled.intro]: #linalg.scaled.intro
|
| 159 |
+
[linalg.scaled.scaled]: #linalg.scaled.scaled
|
| 160 |
+
[linalg.scaled.scaledaccessor]: #linalg.scaled.scaledaccessor
|
| 161 |
+
[linalg.syn]: #linalg.syn
|
| 162 |
+
[linalg.tags]: #linalg.tags
|
| 163 |
+
[linalg.tags.diagonal]: #linalg.tags.diagonal
|
| 164 |
+
[linalg.tags.order]: #linalg.tags.order
|
| 165 |
+
[linalg.tags.triangle]: #linalg.tags.triangle
|
| 166 |
+
[linalg.transp]: #linalg.transp
|
| 167 |
+
[linalg.transp.helpers]: #linalg.transp.helpers
|
| 168 |
+
[linalg.transp.intro]: #linalg.transp.intro
|
| 169 |
+
[linalg.transp.layout.transpose]: #linalg.transp.layout.transpose
|
| 170 |
+
[linalg.transp.transposed]: #linalg.transp.transposed
|
| 171 |
+
[mask.array.assign]: #mask.array.assign
|
| 172 |
+
[mask.array.comp.assign]: #mask.array.comp.assign
|
| 173 |
+
[mask.array.fill]: #mask.array.fill
|
| 174 |
+
[math.constants]: #math.constants
|
| 175 |
+
[mdspan.accessor.reqmts]: containers.md#mdspan.accessor.reqmts
|
| 176 |
+
[mdspan.layout.policy.reqmts]: containers.md#mdspan.layout.policy.reqmts
|
| 177 |
+
[mdspan.overview]: containers.md#mdspan.overview
|
| 178 |
+
[namespace.std]: library.md#namespace.std
|
| 179 |
+
[numarray]: #numarray
|
| 180 |
+
[numbers]: #numbers
|
| 181 |
+
[numbers.syn]: #numbers.syn
|
| 182 |
+
[numeric.requirements]: #numeric.requirements
|
| 183 |
+
[numerics]: #numerics
|
| 184 |
+
[numerics.c]: #numerics.c
|
| 185 |
+
[numerics.c.ckdint]: #numerics.c.ckdint
|
| 186 |
+
[numerics.defns]: algorithms.md#numerics.defns
|
| 187 |
+
[numerics.general]: #numerics.general
|
| 188 |
+
[numerics.summary]: #numerics.summary
|
| 189 |
+
[output.iterators]: iterators.md#output.iterators
|
| 190 |
+
[over.match.general]: over.md#over.match.general
|
| 191 |
+
[rand]: #rand
|
| 192 |
+
[rand.adapt]: #rand.adapt
|
| 193 |
+
[rand.adapt.disc]: #rand.adapt.disc
|
| 194 |
+
[rand.adapt.general]: #rand.adapt.general
|
| 195 |
+
[rand.adapt.ibits]: #rand.adapt.ibits
|
| 196 |
+
[rand.adapt.shuf]: #rand.adapt.shuf
|
| 197 |
+
[rand.device]: #rand.device
|
| 198 |
+
[rand.dist]: #rand.dist
|
| 199 |
+
[rand.dist.bern]: #rand.dist.bern
|
| 200 |
+
[rand.dist.bern.bernoulli]: #rand.dist.bern.bernoulli
|
| 201 |
+
[rand.dist.bern.bin]: #rand.dist.bern.bin
|
| 202 |
+
[rand.dist.bern.geo]: #rand.dist.bern.geo
|
| 203 |
+
[rand.dist.bern.negbin]: #rand.dist.bern.negbin
|
| 204 |
+
[rand.dist.general]: #rand.dist.general
|
| 205 |
+
[rand.dist.norm]: #rand.dist.norm
|
| 206 |
+
[rand.dist.norm.cauchy]: #rand.dist.norm.cauchy
|
| 207 |
+
[rand.dist.norm.chisq]: #rand.dist.norm.chisq
|
| 208 |
+
[rand.dist.norm.f]: #rand.dist.norm.f
|
| 209 |
+
[rand.dist.norm.lognormal]: #rand.dist.norm.lognormal
|
| 210 |
+
[rand.dist.norm.normal]: #rand.dist.norm.normal
|
| 211 |
+
[rand.dist.norm.t]: #rand.dist.norm.t
|
| 212 |
+
[rand.dist.pois]: #rand.dist.pois
|
| 213 |
+
[rand.dist.pois.exp]: #rand.dist.pois.exp
|
| 214 |
+
[rand.dist.pois.extreme]: #rand.dist.pois.extreme
|
| 215 |
+
[rand.dist.pois.gamma]: #rand.dist.pois.gamma
|
| 216 |
+
[rand.dist.pois.poisson]: #rand.dist.pois.poisson
|
| 217 |
+
[rand.dist.pois.weibull]: #rand.dist.pois.weibull
|
| 218 |
+
[rand.dist.samp]: #rand.dist.samp
|
| 219 |
+
[rand.dist.samp.discrete]: #rand.dist.samp.discrete
|
| 220 |
+
[rand.dist.samp.pconst]: #rand.dist.samp.pconst
|
| 221 |
+
[rand.dist.samp.plinear]: #rand.dist.samp.plinear
|
| 222 |
+
[rand.dist.uni]: #rand.dist.uni
|
| 223 |
+
[rand.dist.uni.int]: #rand.dist.uni.int
|
| 224 |
+
[rand.dist.uni.real]: #rand.dist.uni.real
|
| 225 |
+
[rand.eng]: #rand.eng
|
| 226 |
+
[rand.eng.general]: #rand.eng.general
|
| 227 |
+
[rand.eng.lcong]: #rand.eng.lcong
|
| 228 |
+
[rand.eng.mers]: #rand.eng.mers
|
| 229 |
+
[rand.eng.philox]: #rand.eng.philox
|
| 230 |
+
[rand.eng.philox.f]: #rand.eng.philox.f
|
| 231 |
+
[rand.eng.sub]: #rand.eng.sub
|
| 232 |
+
[rand.general]: #rand.general
|
| 233 |
+
[rand.predef]: #rand.predef
|
| 234 |
+
[rand.req]: #rand.req
|
| 235 |
+
[rand.req.adapt]: #rand.req.adapt
|
| 236 |
+
[rand.req.dist]: #rand.req.dist
|
| 237 |
+
[rand.req.eng]: #rand.req.eng
|
| 238 |
+
[rand.req.genl]: #rand.req.genl
|
| 239 |
+
[rand.req.seedseq]: #rand.req.seedseq
|
| 240 |
+
[rand.req.urng]: #rand.req.urng
|
| 241 |
+
[rand.synopsis]: #rand.synopsis
|
| 242 |
+
[rand.util]: #rand.util
|
| 243 |
+
[rand.util.canonical]: #rand.util.canonical
|
| 244 |
+
[rand.util.seedseq]: #rand.util.seedseq
|
| 245 |
+
[random.access.iterators]: iterators.md#random.access.iterators
|
| 246 |
+
[res.on.data.races]: library.md#res.on.data.races
|
| 247 |
+
[sf.cmath]: #sf.cmath
|
| 248 |
+
[sf.cmath.assoc.laguerre]: #sf.cmath.assoc.laguerre
|
| 249 |
+
[sf.cmath.assoc.legendre]: #sf.cmath.assoc.legendre
|
| 250 |
+
[sf.cmath.beta]: #sf.cmath.beta
|
| 251 |
+
[sf.cmath.comp.ellint.1]: #sf.cmath.comp.ellint.1
|
| 252 |
+
[sf.cmath.comp.ellint.2]: #sf.cmath.comp.ellint.2
|
| 253 |
+
[sf.cmath.comp.ellint.3]: #sf.cmath.comp.ellint.3
|
| 254 |
+
[sf.cmath.cyl.bessel.i]: #sf.cmath.cyl.bessel.i
|
| 255 |
+
[sf.cmath.cyl.bessel.j]: #sf.cmath.cyl.bessel.j
|
| 256 |
+
[sf.cmath.cyl.bessel.k]: #sf.cmath.cyl.bessel.k
|
| 257 |
+
[sf.cmath.cyl.neumann]: #sf.cmath.cyl.neumann
|
| 258 |
+
[sf.cmath.ellint.1]: #sf.cmath.ellint.1
|
| 259 |
+
[sf.cmath.ellint.2]: #sf.cmath.ellint.2
|
| 260 |
+
[sf.cmath.ellint.3]: #sf.cmath.ellint.3
|
| 261 |
+
[sf.cmath.expint]: #sf.cmath.expint
|
| 262 |
+
[sf.cmath.general]: #sf.cmath.general
|
| 263 |
+
[sf.cmath.hermite]: #sf.cmath.hermite
|
| 264 |
+
[sf.cmath.laguerre]: #sf.cmath.laguerre
|
| 265 |
+
[sf.cmath.legendre]: #sf.cmath.legendre
|
| 266 |
+
[sf.cmath.riemann.zeta]: #sf.cmath.riemann.zeta
|
| 267 |
+
[sf.cmath.sph.bessel]: #sf.cmath.sph.bessel
|
| 268 |
+
[sf.cmath.sph.legendre]: #sf.cmath.sph.legendre
|
| 269 |
+
[sf.cmath.sph.neumann]: #sf.cmath.sph.neumann
|
| 270 |
+
[simd]: #simd
|
| 271 |
+
[simd.alg]: #simd.alg
|
| 272 |
+
[simd.binary]: #simd.binary
|
| 273 |
+
[simd.bit]: #simd.bit
|
| 274 |
+
[simd.cassign]: #simd.cassign
|
| 275 |
+
[simd.class]: #simd.class
|
| 276 |
+
[simd.comparison]: #simd.comparison
|
| 277 |
+
[simd.complex.access]: #simd.complex.access
|
| 278 |
+
[simd.complex.math]: #simd.complex.math
|
| 279 |
+
[simd.cond]: #simd.cond
|
| 280 |
+
[simd.creation]: #simd.creation
|
| 281 |
+
[simd.ctor]: #simd.ctor
|
| 282 |
+
[simd.expos]: #simd.expos
|
| 283 |
+
[simd.expos.abi]: #simd.expos.abi
|
| 284 |
+
[simd.expos.defn]: #simd.expos.defn
|
| 285 |
+
[simd.flags]: #simd.flags
|
| 286 |
+
[simd.flags.oper]: #simd.flags.oper
|
| 287 |
+
[simd.flags.overview]: #simd.flags.overview
|
| 288 |
+
[simd.general]: #simd.general
|
| 289 |
+
[simd.iterator]: #simd.iterator
|
| 290 |
+
[simd.loadstore]: #simd.loadstore
|
| 291 |
+
[simd.mask.binary]: #simd.mask.binary
|
| 292 |
+
[simd.mask.cassign]: #simd.mask.cassign
|
| 293 |
+
[simd.mask.class]: #simd.mask.class
|
| 294 |
+
[simd.mask.comparison]: #simd.mask.comparison
|
| 295 |
+
[simd.mask.cond]: #simd.mask.cond
|
| 296 |
+
[simd.mask.conv]: #simd.mask.conv
|
| 297 |
+
[simd.mask.ctor]: #simd.mask.ctor
|
| 298 |
+
[simd.mask.nonmembers]: #simd.mask.nonmembers
|
| 299 |
+
[simd.mask.overview]: #simd.mask.overview
|
| 300 |
+
[simd.mask.reductions]: #simd.mask.reductions
|
| 301 |
+
[simd.mask.subscr]: #simd.mask.subscr
|
| 302 |
+
[simd.mask.unary]: #simd.mask.unary
|
| 303 |
+
[simd.math]: #simd.math
|
| 304 |
+
[simd.nonmembers]: #simd.nonmembers
|
| 305 |
+
[simd.overview]: #simd.overview
|
| 306 |
+
[simd.permute.dynamic]: #simd.permute.dynamic
|
| 307 |
+
[simd.permute.mask]: #simd.permute.mask
|
| 308 |
+
[simd.permute.memory]: #simd.permute.memory
|
| 309 |
+
[simd.permute.static]: #simd.permute.static
|
| 310 |
+
[simd.reductions]: #simd.reductions
|
| 311 |
+
[simd.subscr]: #simd.subscr
|
| 312 |
+
[simd.syn]: #simd.syn
|
| 313 |
+
[simd.traits]: #simd.traits
|
| 314 |
+
[simd.unary]: #simd.unary
|
| 315 |
+
[slice.access]: #slice.access
|
| 316 |
+
[slice.arr.assign]: #slice.arr.assign
|
| 317 |
+
[slice.arr.comp.assign]: #slice.arr.comp.assign
|
| 318 |
+
[slice.arr.fill]: #slice.arr.fill
|
| 319 |
+
[slice.ops]: #slice.ops
|
| 320 |
+
[stdckdint.h.syn]: #stdckdint.h.syn
|
| 321 |
+
[strings]: strings.md#strings
|
| 322 |
+
[template.gslice.array]: #template.gslice.array
|
| 323 |
+
[template.gslice.array.overview]: #template.gslice.array.overview
|
| 324 |
+
[template.indirect.array]: #template.indirect.array
|
| 325 |
+
[template.indirect.array.overview]: #template.indirect.array.overview
|
| 326 |
+
[template.mask.array]: #template.mask.array
|
| 327 |
+
[template.mask.array.overview]: #template.mask.array.overview
|
| 328 |
+
[template.slice.array]: #template.slice.array
|
| 329 |
+
[template.slice.array.overview]: #template.slice.array.overview
|
| 330 |
+
[template.valarray]: #template.valarray
|
| 331 |
+
[template.valarray.overview]: #template.valarray.overview
|
| 332 |
+
[term.literal.type]: basic.md#term.literal.type
|
| 333 |
+
[thread.jthread.class]: thread.md#thread.jthread.class
|
| 334 |
+
[thread.thread.class]: thread.md#thread.thread.class
|
| 335 |
+
[utility.arg.requirements]: library.md#utility.arg.requirements
|
| 336 |
+
[valarray.access]: #valarray.access
|
| 337 |
+
[valarray.assign]: #valarray.assign
|
| 338 |
+
[valarray.binary]: #valarray.binary
|
| 339 |
+
[valarray.cassign]: #valarray.cassign
|
| 340 |
+
[valarray.comparison]: #valarray.comparison
|
| 341 |
+
[valarray.cons]: #valarray.cons
|
| 342 |
+
[valarray.members]: #valarray.members
|
| 343 |
+
[valarray.nonmembers]: #valarray.nonmembers
|
| 344 |
+
[valarray.range]: #valarray.range
|
| 345 |
+
[valarray.special]: #valarray.special
|
| 346 |
+
[valarray.sub]: #valarray.sub
|
| 347 |
+
[valarray.syn]: #valarray.syn
|
| 348 |
+
[valarray.transcend]: #valarray.transcend
|
| 349 |
+
[valarray.unary]: #valarray.unary
|
| 350 |
+
[views.multidim]: containers.md#views.multidim
|
| 351 |
+
|
| 352 |
+
[^1]: In other words, value types. These include arithmetic types,
|
| 353 |
+
pointers, the library class `complex`, and instantiations of
|
| 354 |
+
`valarray` for value types.
|
| 355 |
+
|
| 356 |
+
[^2]: This constructor (as well as the subsequent corresponding `seed()`
|
| 357 |
+
function) can be particularly useful to applications requiring a
|
| 358 |
+
large number of independent random sequences.
|
| 359 |
+
|
| 360 |
+
[^3]: The name of this engine refers, in part, to a property of its
|
| 361 |
+
period: For properly-selected values of the parameters, the period
|
| 362 |
+
is closely related to a large Mersenne prime number.
|
| 363 |
+
|
| 364 |
+
[^4]: The parameter is intended to allow an implementation to
|
| 365 |
+
differentiate between different sources of randomness.
|
| 366 |
+
|
| 367 |
+
[^5]: If a device has n states whose respective probabilities are
|
| 368 |
+
P₀, …, Pₙ₋₁, the device entropy S is defined as
|
| 369 |
+
$S = - \sum_{i=0}^{n-1} P_i \cdot \log P_i$.
|
| 370 |
+
|
| 371 |
+
[^6]: d is introduced to avoid any attempt to produce more bits of
|
| 372 |
+
randomness than can be held in `RealType`.
|
| 373 |
+
|
| 374 |
+
[^7]: The distribution corresponding to this probability density
|
| 375 |
+
function is also known (with a possible change of variable) as the
|
| 376 |
+
Gumbel Type I, the log-Weibull, or the Fisher-Tippett Type I
|
| 377 |
+
distribution.
|
| 378 |
+
|
| 379 |
+
[^8]: [[implimits]] recommends a minimum number of recursively nested
|
| 380 |
+
template instantiations. This requirement thus indirectly suggests a
|
| 381 |
+
minimum allowable complexity for valarray expressions.
|
| 382 |
+
|
| 383 |
+
[^9]: The intent is to specify an array template that has the minimum
|
| 384 |
+
functionality necessary to address aliasing ambiguities and the
|
| 385 |
+
proliferation of temporary objects. Thus, the `valarray` template is
|
| 386 |
+
neither a matrix class nor a field class. However, it is a very
|
| 387 |
+
useful building block for designing such classes.
|
| 388 |
+
|
| 389 |
+
[^10]: This default constructor is essential, since arrays of `valarray`
|
| 390 |
+
can be useful. After initialization, the length of an empty array
|
| 391 |
+
can be increased with the `resize` member function.
|
| 392 |
+
|
| 393 |
+
[^11]: This constructor is the preferred method for converting a C array
|
| 394 |
+
to a `valarray` object.
|
| 395 |
+
|
| 396 |
+
[^12]: This copy constructor creates a distinct array rather than an
|
| 397 |
+
alias. Implementations in which arrays share storage are permitted,
|
| 398 |
+
but they would need to implement a copy-on-reference mechanism to
|
| 399 |
+
ensure that arrays are conceptually distinct.
|
| 400 |
+
|
| 401 |
+
[^13]: BLAS stands for *Basic Linear Algebra Subprograms*. C++ programs
|
| 402 |
+
can instantiate this class. See, for example, Dongarra, Du Croz,
|
| 403 |
+
Duff, and Hammerling: *A set of Level 3 Basic Linear Algebra
|
| 404 |
+
Subprograms*; Technical Report MCS-P1-0888, Argonne National
|
| 405 |
+
Laboratory (USA), Mathematics and Computer Science Division, August,
|
| 406 |
+
1988.
|
| 407 |
+
|
| 408 |
+
[^14]: A mathematical function is mathematically defined for a given set
|
| 409 |
+
of argument values (a) if it is explicitly defined for that set of
|
| 410 |
+
argument values, or (b) if its limiting value exists and does not
|
| 411 |
+
depend on the direction of approach.
|