Library: RandomDraw - verify numerics (II)

- strive at complete branch coverage for the mapping function
- decide that the neutral value can deliberately lie outside
  the value range, in which case the probability setting
  controls the number of _value_ result incidents vs
  neutral value result incidents.
- introduce a third path to define this case clearly
- implement the range setting Builder-API functions
- absorb boundrary and illegal cases
This commit is contained in:
Fischlurch 2023-11-22 02:36:34 +01:00
parent 4f28e8ad6c
commit 2578df7c1d
3 changed files with 435 additions and 73 deletions

View file

@ -150,10 +150,12 @@ namespace lib {
/**********************************************************//**
* A component and builder to draw limited parameter values
* based on some source of randomness (or hash input).
* Effectively this is a function which "draws" on invocation.
* Probabilities and ranges can be configured by builder API.
* @tparam POL configuration policy baseclass
*/
template<class POL>
@ -165,7 +167,7 @@ namespace lib {
Tar maxResult_{Tar::maxVal()}; ///< maximum result val actually to produce < max
Tar minResult_{Tar::minVal()}; ///< minimum result val actually to produce > min
double probability_{0}; ///< probability that value is in [1 .. m]
double probability_{0}; ///< probability that value is in [min .. max] \ neutral
/** @internal quantise into limited result value */
@ -180,12 +182,12 @@ namespace lib {
REQUIRE (minResult_ < maxResult_);
REQUIRE (0.0 <= probability_);
REQUIRE (probability_ <= 1.0);
auto org = util::max (Tar::zeroVal(), minResult_);
double q = (1.0 - probability_);
if (val < q) // control probability of values ≠ neutral
return Tar::zeroVal();
val -= q; // [0 .. [q .. 1[
val /= probability_; // [0 .. 1[
auto org = Tar::zeroVal();
if (org == minResult_)
{ // simple standard case
val *= maxResult_ - org; // [0 .. m[
@ -193,6 +195,15 @@ namespace lib {
val += CAP_EPSILON; // round down yet absorb dust
return Tar{floor (val)};
}
else
if (org < minResult_ or org > maxResult_)
{ // disjoint form origin, but compact
org = minResult_; // ensure all values covered
val *= maxResult_ - org + 1; // [o .. m]
val += org;
val += CAP_EPSILON;
return Tar{floor (val)};
}
else// Origin is somewhere within value range
{// ==> wrap "negative" part above max
// to map 0.0 ⟼ org (≙neutral)
@ -253,14 +264,25 @@ namespace lib {
RandomDraw&&
probability (double p)
{
probability_ = p;
probability_ = util::limited (0.0, p ,1.0);
return move (*this);
}
RandomDraw&&
maxVal (Tar m)
{
maxResult_ = m;
maxResult_ = util::min (m, Tar::maxVal());
if (minResult_>=maxResult_)
minVal (--m);
return move (*this);
}
RandomDraw&&
minVal (Tar m)
{
minResult_ = util::max (m, Tar::minVal());
if (maxResult_<=minResult_)
maxVal (++m);
return move (*this);
}

View file

@ -26,16 +26,12 @@
#include "lib/test/run.hpp"
//#include "lib/test/test-helper.hpp"
#include "lib/random-draw.hpp"
#include "lib/time/timevalue.hpp"
#include "lib/test/diagnostic-output.hpp"////////////////////TODO
#include "lib/format-string.hpp"
//#include "lib/util.hpp"
//#include <cstdlib>
#include <array>
@ -43,29 +39,28 @@
namespace lib {
namespace test{
// using util::isSameObject;
// using std::rand;
using util::_Fmt;
using lib::time::FSecs;
using lib::time::TimeVar;
// namespace error = lumiera::error;
// using error::LUMIERA_ERROR_FATAL;
// using error::LUMIERA_ERROR_STATE;
namespace {
// const Literal THE_END = "all dead and hero got the girl";
namespace { // policy and configuration for test...
/**
* @note the test uses a rather elaborate result value setting
* - produces five distinct values
* - value range is symmetrical to origin
* - zero is defined as the _neutral value_
* - accepts a `size_t` hash value as basic input
*/
struct SymmetricFive
: function<Limited<int, 2,-2, 0>(size_t)>
{
/** by default use the hash directly as source of randomness */
static size_t defaultSrc (size_t hash) { return hash; }
/**
* @internal helper to expose the signature `size_t(size_t)`
* by wrapping a given lambda or functor.
*/
/** Adaptor to handle further mapping functions */
template<class SIG>
struct Adaptor
{
@ -97,9 +92,9 @@ namespace test{
};
}
};
};
}
//
}//(End) Test config
using Draw = RandomDraw<SymmetricFive>;
@ -110,9 +105,12 @@ namespace test{
* @test Verify a flexible builder for random-value generators; using a config template,
* these can be outfitted to use a suitable source of randomness and to produce
* values from a desired target type and limited range.
* - TODO
* @see result.hpp
* @see lib::ThreadJoinable usage example
* - for this test, generated result values are [-2 .. 0 .. +2]
* - no actual randomness is used; rather a `size_t` challenge is
* sent in to verify precisely deterministic numeric results.
* @see random-draw.hpp
* @see vault::gear::TestChainLoad as usage example
* @see SchedulerStress_test
*/
class RandomDraw_test
: public Test
@ -131,32 +129,13 @@ namespace test{
/** @test TODO demonstrate a basic usage scenario
* @todo WIP 11/23 define 🔁 implement
/** @test demonstrate a basic usage scenario
* @todo WIP 11/23 define implement
*/
void
simpleUse()
{
auto draw = Draw().probability(0.5);
//SHOW_EXPR (int(draw(0) ));
//SHOW_EXPR (int(draw(16 )));
//SHOW_EXPR (int(draw(31 )));
//SHOW_EXPR (int(draw(32 )));
//SHOW_EXPR (int(draw(39 )));
//SHOW_EXPR (int(draw(40 )));
//SHOW_EXPR (int(draw(47 )));
//SHOW_EXPR (int(draw(48 )));
//SHOW_EXPR (int(draw(55 )));
//SHOW_EXPR (int(draw(56 )));
//SHOW_EXPR (int(draw(63 )));
//SHOW_EXPR (int(draw(64 )));
//SHOW_EXPR (int(draw(65 )));
//SHOW_EXPR (int(draw(95 )));
//SHOW_EXPR (int(draw(96 )));
//SHOW_EXPR (int(draw(127)));
//SHOW_EXPR (int(draw(128)));
//SHOW_EXPR (int(draw(168)));
//SHOW_EXPR (int(draw(256)));
CHECK (draw( 0) == 0);
CHECK (draw( 16) == 0);
CHECK (draw( 32) == 1);
@ -199,19 +178,24 @@ namespace test{
/** @test TODO verify random number transformations
/** @test verify random number transformations
* - use a Draw instance with result values `[-2..0..+2]`
* - values are evenly distributed within limits of quantisation
* - the probability parameter controls the amount of neutral results
* @todo WIP 11/23 🔁 define implement
* - maximum and minimum value settings will be respected
* - the interval [min..max] is independent from neutral value
* - probability defines the cases within [min..max] \ neutral
* - all other cases `q = 1 - p` will yield the neutral value
* - implausible max/min settings will be corrected automatically
* @todo WIP 11/23 define implement
*/
void
verify_numerics()
{
auto distribution = [](Draw const& draw)
{
using Arr = std::array<uint,5>;
Arr step{0};
using Arr = std::array<int,5>;
Arr step{-1,-1,-1,-1,-1};
Arr freq{0};
for (uint i=0; i<128; ++i)
{
@ -219,7 +203,7 @@ namespace test{
CHECK (-2 <= res and res <= +2);
int idx = res+2;
freq[idx] += 1;
if (res and not step[idx])
if (step[idx] < 0)
step[idx] = i;
}
_Fmt line{"val:%+d (%02d|%5.2f%%)\n"};
@ -241,11 +225,11 @@ namespace test{
report += distribution(draw);
CHECK (report ==
"+++| --empty-- \n"
"val:-2 (00| 0.00%)\n"
"val:-1 (00| 0.00%)\n"
"val:-2 (-1| 0.00%)\n"
"val:-1 (-1| 0.00%)\n"
"val:+0 (00|100.00%)\n"
"val:+1 (00| 0.00%)\n"
"val:+2 (00| 0.00%)\n"_expect);
"val:+1 (-1| 0.00%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
draw.probability(1.0);
@ -266,8 +250,8 @@ namespace test{
"+++| p ≔ 1.0 \n"
"val:-2 (32|25.00%)\n"
"val:-1 (48|25.00%)\n"
"val:+0 (00| 0.00%)\n"
"val:+1 (01|25.00%)\n"
"val:+0 (-1| 0.00%)\n"
"val:+1 (00|25.00%)\n"
"val:+2 (16|25.00%)\n"_expect);
@ -378,6 +362,189 @@ namespace test{
"val:+0 (00|90.62%)\n"
"val:+1 (58| 3.12%)\n"
"val:+2 (60| 1.56%)\n"_expect);
// ═════════
draw.probability(0.5).maxVal(1);
CHECK (draw( 0) == 0);
CHECK (draw( 16) == 0);
CHECK (draw( 31) == 0);
CHECK (draw( 32) == +1);
CHECK (draw( 42) == +1);
CHECK (draw( 43) == -2);
CHECK (draw( 53) == -2);
CHECK (draw( 54) == -1);
CHECK (draw( 63) == -1);
CHECK (draw( 64) == 0);
CHECK (draw( 95) == 0);
CHECK (draw( 96) == +1);
report = "+++| p ≔ 0.50 max ≔ 1 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 0.50 max ≔ 1 \n"
"val:-2 (43|17.19%)\n"
"val:-1 (54|15.62%)\n"
"val:+0 (00|50.00%)\n"
"val:+1 (32|17.19%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
draw.probability(1.0).maxVal(1);
CHECK (draw( 0) == +1);
CHECK (draw( 16) == +1);
CHECK (draw( 21) == +1);
CHECK (draw( 22) == -2);
CHECK (draw( 42) == -2);
CHECK (draw( 43) == -1);
CHECK (draw( 63) == -1);
CHECK (draw( 64) == +1);
CHECK (draw( 85) == +1);
CHECK (draw( 86) == -2);
CHECK (draw( 96) == -2);
report = "+++| p ≔ 1.0 max ≔ 1 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 1.0 max ≔ 1 \n"
"val:-2 (22|32.81%)\n"
"val:-1 (43|32.81%)\n"
"val:+0 (-1| 0.00%)\n"
"val:+1 (00|34.38%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
// ═════════
draw.probability(0.5).maxVal(0);
CHECK (draw( 0) == 0);
CHECK (draw( 31) == 0);
CHECK (draw( 32) == -2);
CHECK (draw( 47) == -2);
CHECK (draw( 48) == -1);
CHECK (draw( 63) == -1);
CHECK (draw( 64) == 0);
CHECK (draw( 95) == 0);
CHECK (draw( 96) == -2);
report = "+++| p ≔ 0.50 max ≔ 0 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 0.50 max ≔ 0 \n"
"val:-2 (32|25.00%)\n"
"val:-1 (48|25.00%)\n"
"val:+0 (00|50.00%)\n"
"val:+1 (-1| 0.00%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
draw.probability(1.0).maxVal(0);
CHECK (draw( 0) == -2);
CHECK (draw( 31) == -2);
CHECK (draw( 32) == -1);
CHECK (draw( 63) == -1);
CHECK (draw( 64) == -2);
CHECK (draw( 96) == -1);
report = "+++| p ≔ 1.0 max ≔ 0 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 1.0 max ≔ 0 \n"
"val:-2 (00|50.00%)\n"
"val:-1 (32|50.00%)\n"
"val:+0 (-1| 0.00%)\n"
"val:+1 (-1| 0.00%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
// ═════════
draw.probability(0.5).maxVal(-1);
CHECK (draw( 32) == -2);
CHECK (draw( 47) == -2);
CHECK (draw( 48) == -1);
CHECK (draw( 63) == -1);
CHECK (draw( 64) == 0);
CHECK (draw( 95) == 0);
CHECK (draw( 96) == -2);
report = "+++| p ≔ 0.50 max ≔ -1 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 0.50 max ≔ -1 \n"
"val:-2 (32|25.00%)\n"
"val:-1 (48|25.00%)\n"
"val:+0 (00|50.00%)\n"
"val:+1 (-1| 0.00%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
draw.probability(1.0).maxVal(-1);
CHECK (draw( 0) == -2);
CHECK (draw( 31) == -2);
CHECK (draw( 32) == -1);
CHECK (draw( 63) == -1);
CHECK (draw( 64) == -2);
report = "+++| p ≔ 1.0 max ≔ -1 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 1.0 max ≔ -1 \n"
"val:-2 (00|50.00%)\n"
"val:-1 (32|50.00%)\n"
"val:+0 (-1| 0.00%)\n"
"val:+1 (-1| 0.00%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
// ═════════
draw.probability(0.5).maxVal(2).minVal(1);
CHECK (draw( 32) == +1);
CHECK (draw( 48) == +2);
CHECK (draw( 63) == +2);
CHECK (draw( 64) == 0);
report = "+++| p ≔ 0.50 min ≔ 1 max ≔ 2 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 0.50 min ≔ 1 max ≔ 2 \n"
"val:-2 (-1| 0.00%)\n"
"val:-1 (-1| 0.00%)\n"
"val:+0 (00|50.00%)\n"
"val:+1 (32|25.00%)\n"
"val:+2 (48|25.00%)\n"_expect);
draw.probability(1.0).maxVal(2).minVal(1);
CHECK (draw( 0) == +1);
CHECK (draw( 32) == +2);
CHECK (draw( 63) == +2);
CHECK (draw( 64) == +1);
report = "+++| p ≔ 1.0 min ≔ 1 max ≔ 2 \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 1.0 min ≔ 1 max ≔ 2 \n"
"val:-2 (-1| 0.00%)\n"
"val:-1 (-1| 0.00%)\n"
"val:+0 (-1| 0.00%)\n"
"val:+1 (00|50.00%)\n"
"val:+2 (32|50.00%)\n"_expect);
// ═════════
draw.probability(0.5).maxVal(0);
CHECK (draw( 32) == -1);
CHECK (draw( 63) == -1);
CHECK (draw( 64) == 0);
report = "+++| p ≔ 0.50 max ≔ 0 (-> min ≔ -1) \n";
report += distribution(draw);
CHECK (report ==
"+++| p ≔ 0.50 max ≔ 0 (-> min ≔ -1) \n"
"val:-2 (-1| 0.00%)\n"
"val:-1 (32|50.00%)\n"
"val:+0 (00|50.00%)\n"
"val:+1 (-1| 0.00%)\n"
"val:+2 (-1| 0.00%)\n"_expect);
}

View file

@ -96728,13 +96728,13 @@ Date:&#160;&#160;&#160;Thu Apr 20 18:53:17 2023 +0200<br/>
</node>
</node>
</node>
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700577987947" ID="ID_1072243558" MODIFIED="1700591549880" TEXT="Result-Mapping fertigstellen">
<icon BUILTIN="pencil"/>
<node COLOR="#338800" CREATED="1700577987947" ID="ID_1072243558" MODIFIED="1700615772415" TEXT="Result-Mapping fertigstellen">
<icon BUILTIN="button_ok"/>
<node COLOR="#338800" CREATED="1700578049835" ID="ID_1039524348" MODIFIED="1700591554997" TEXT="(optional) Minimal-Wert beachten">
<icon BUILTIN="button_ok"/>
</node>
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700578067566" ID="ID_1673296895" MODIFIED="1700578327612" TEXT="(optional) neutralen Wert definieren">
<icon BUILTIN="pencil"/>
<node COLOR="#338800" CREATED="1700578067566" ID="ID_1673296895" MODIFIED="1700615768199" TEXT="(optional) neutralen Wert definieren">
<icon BUILTIN="button_ok"/>
<node COLOR="#435e98" CREATED="1700578338693" ID="ID_1746695653" MODIFIED="1700591392565" TEXT="Wunsch: neutralen Wert mitten im Wertebereich">
<richcontent TYPE="NOTE"><html>
<head>
@ -96786,10 +96786,115 @@ Date:&#160;&#160;&#160;Thu Apr 20 18:53:17 2023 +0200<br/>
</node>
</node>
</node>
<node BACKGROUND_COLOR="#d2beaf" COLOR="#5c4d6e" CREATED="1700610508815" FOLDED="true" ID="ID_1769349161" MODIFIED="1700610564967" TEXT="neutraler Wert k&#xf6;nnte sogar konfigurierbar sein">
<icon BUILTIN="hourglass"/>
<icon BUILTIN="stop-sign"/>
<node CREATED="1700610523003" ID="ID_1030452299" MODIFIED="1700610531650" TEXT="k&#xf6;nnte... ja warum?"/>
<node CREATED="1700610535713" ID="ID_1907433050" MODIFIED="1700610562747" TEXT="YAGNI">
<icon BUILTIN="closed"/>
</node>
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700579867534" ID="ID_1525251156" MODIFIED="1700591492624" TEXT="Quantisierung verbessern">
<icon BUILTIN="pencil"/>
<node BACKGROUND_COLOR="#f8f1cb" COLOR="#a50125" CREATED="1700579884119" ID="ID_805978365" MODIFIED="1700579898358" TEXT="Probleme mit der Wahrscheinlichkeitsverteilung">
</node>
<node BACKGROUND_COLOR="#e0ceaa" COLOR="#690f14" CREATED="1700610689481" ID="ID_1952215621" MODIFIED="1700613329351" TEXT="neutraler Wert kann au&#xdf;erhalb des Wertebereichs liegen">
<icon BUILTIN="messagebox_warning"/>
<node CREATED="1700610701943" ID="ID_1911303152" MODIFIED="1700610712229" TEXT="ja...nein..oh">
<icon BUILTIN="ksmiletris"/>
</node>
<node BACKGROUND_COLOR="#e0ceaa" COLOR="#690f48" CREATED="1700610722028" ID="ID_1729000980" MODIFIED="1700610777018" TEXT="ich sage: ja!">
<icon BUILTIN="yes"/>
<node CREATED="1700610737674" ID="ID_910999312" MODIFIED="1700610741605" TEXT="macht Sinnn"/>
<node CREATED="1700610742033" ID="ID_1941477701" MODIFIED="1700610759355" TEXT="...da der &#xbb;neutrale Wert&#xab; spezielle Semantik tr&#xe4;gt"/>
</node>
<node COLOR="#435e98" CREATED="1700610847439" ID="ID_1923479598" MODIFIED="1700613348354" TEXT="&#x27f9; erfordert spezielle Mechanik">
<linktarget COLOR="#81c09c" DESTINATION="ID_1923479598" ENDARROW="Default" ENDINCLINATION="-376;33;" ID="Arrow_ID_920221846" SOURCE="ID_491799030" STARTARROW="None" STARTINCLINATION="267;-354;"/>
<node CREATED="1700610871608" ID="ID_884876966" MODIFIED="1700612629620" TEXT="k&#xf6;nnte man subsumieren"/>
<node CREATED="1700610876983" ID="ID_218611890" MODIFIED="1700610892378">
<richcontent TYPE="NODE"><html>
<head>
</head>
<body>
<p>
und zwar unter den <i>einfachen Fall</i>
</p>
</body>
</html>
</richcontent>
<icon BUILTIN="idea"/>
<node CREATED="1700610894141" ID="ID_1438709417" MODIFIED="1700610906898" TEXT="weil daf&#xfc;r der neutrale Wert bereits randst&#xe4;ndig ist"/>
<node CREATED="1700610912931" ID="ID_838858780" MODIFIED="1700610929772" TEXT="weil dort bereits mit einem k&#xfc;nstlichen Origin gearbeitet wird"/>
<node COLOR="#5b280f" CREATED="1700612637963" ID="ID_388842503" MODIFIED="1700612655329" TEXT="die Eingangsbedingung pa&#xdf;t aber nicht">
<font NAME="SansSerif" SIZE="12"/>
<icon BUILTIN="button_cancel"/>
</node>
</node>
<node COLOR="#338800" CREATED="1700610954037" ID="ID_1082494599" MODIFIED="1700613156961">
<richcontent TYPE="NODE"><html>
<head>
</head>
<body>
<p>
<u>Konsequenz</u>: <i>speziellen Fall </i>schaffen...
</p>
</body>
</html>
</richcontent>
<icon BUILTIN="button_ok"/>
<node CREATED="1700612681153" ID="ID_1008138940" MODIFIED="1700612681153">
<richcontent TYPE="NODE"><html>
<head>
</head>
<body>
<p>
explizit org &#8788; minResult_
</p>
</body>
</html>
</richcontent>
</node>
<node CREATED="1700612742665" ID="ID_187755742" MODIFIED="1700612779461" TEXT="kein +1 - Offset (da minResult in diesem Fall nicht ausgeschlossen werden mu&#xdf;)"/>
<node CREATED="1700612684943" ID="ID_690347204" MODIFIED="1700612702951" TEXT="Intervall weiter aufspreizen, so da&#xdf; alle Werte erreicht werden"/>
<node CREATED="1700612703571" ID="ID_77046954" MODIFIED="1700612738805">
<richcontent TYPE="NODE"><html>
<head>
</head>
<body>
<p>
dabei beachten: val &#8801; 1.0 liegt am Rand und wird <i>genau nicht mehr erreicht</i>
</p>
</body>
</html>
</richcontent>
</node>
</node>
</node>
<node COLOR="#435e98" CREATED="1700613164473" ID="ID_1204196082" MODIFIED="1700613301089">
<richcontent TYPE="NODE"><html>
<head>
</head>
<body>
<p>
der Fall, da&#223; der neutrale Wert am oberen Rand liegt,
</p>
<p>
wird mehr zuf&#228;lligerweise vom innenliegenden Fall
</p>
<p>
korrekt mit behandelt, indem die 1.H&#228;lfte wegf&#228;llt
</p>
</body>
</html>
</richcontent>
<icon BUILTIN="idea"/>
</node>
</node>
</node>
<node COLOR="#338800" CREATED="1700579867534" ID="ID_1525251156" MODIFIED="1700615765359" TEXT="Quantisierung verbessern">
<icon BUILTIN="button_ok"/>
<node BACKGROUND_COLOR="#e0ceaa" COLOR="#690f14" CREATED="1700579884119" ID="ID_805978365" MODIFIED="1700615732006" TEXT="Probleme mit der Wahrscheinlichkeitsverteilung">
<icon BUILTIN="messagebox_warning"/>
<node CREATED="1700580065522" ID="ID_1293962654" MODIFIED="1700580090733" TEXT="f&#xfc;r Zuf&#xe4;lligkeit w&#xe4;re quant &#x2259; card ideal"/>
<node CREATED="1700580100458" ID="ID_508177019" MODIFIED="1700580112917" TEXT="f&#xfc;r Gleichverteilung mu&#xdf; quant eine 2-er-Potenz sein"/>
@ -96797,6 +96902,7 @@ Date:&#160;&#160;&#160;Thu Apr 20 18:53:17 2023 +0200<br/>
<node CREATED="1700580327644" ID="ID_163898715" MODIFIED="1700580337478" TEXT="der verbleibende Rest leuchtet nicht mehr alle Werte aus"/>
</node>
<node CREATED="1700580296744" ID="ID_1912245268" MODIFIED="1700580306635" TEXT="auch unebene Teil-Wertbereiche sind problematisch"/>
<node BACKGROUND_COLOR="#e0ceaa" COLOR="#690f14" CREATED="1700615737693" ID="ID_711912636" MODIFIED="1700615760685" TEXT="&#xd83e;&#xdc46; mit dem gew&#xe4;hlten Quantiser ~ 3% Fehler"/>
</node>
<node COLOR="#338800" CREATED="1700579942375" ID="ID_1570826487" MODIFIED="1700591481064" TEXT="Quantiser auf 2-log der Kardinalit&#xe4;t aufbauen">
<icon BUILTIN="button_ok"/>
@ -96834,12 +96940,19 @@ Date:&#160;&#160;&#160;Thu Apr 20 18:53:17 2023 +0200<br/>
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<node BACKGROUND_COLOR="#fdfdcf" COLOR="#ff0000" CREATED="1700591494047" ID="ID_367849222" MODIFIED="1700591500352" TEXT="Verteilung empirisch untersuchen">
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<node COLOR="#338800" CREATED="1700591494047" ID="ID_367849222" MODIFIED="1700615641406" TEXT="Verteilung empirisch untersuchen">
<arrowlink COLOR="#33b2c7" DESTINATION="ID_1583745392" ENDARROW="Default" ENDINCLINATION="66;-218;" ID="Arrow_ID_1227385946" STARTARROW="None" STARTINCLINATION="-136;0;"/>
<icon BUILTIN="button_ok"/>
<node COLOR="#438b98" CREATED="1700615644760" ID="ID_1143715475" MODIFIED="1700615681457" TEXT="jede Menge Fehler gefunden...">
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</node>
<node BACKGROUND_COLOR="#c8c0b6" COLOR="#438b98" CREATED="1700615657197" ID="ID_1227454632" MODIFIED="1700615703424" TEXT="hab nun komplette Fall+Pfadabdeckung">
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</node>
<node BACKGROUND_COLOR="#fdfdcf" COLOR="#ff0000" CREATED="1700591521028" ID="ID_1363297386" MODIFIED="1700591544937" TEXT="DSL-Setter m&#xfc;ssen nun stets konsistente Gesamteinstellung erzeugen">
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<node COLOR="#338800" CREATED="1700591521028" ID="ID_1363297386" MODIFIED="1700615724507" TEXT="DSL-Setter m&#xfc;ssen nun stets konsistente Gesamteinstellung erzeugen">
<icon BUILTIN="button_ok"/>
</node>
<node COLOR="#338800" CREATED="1700578085130" ID="ID_1160195104" MODIFIED="1700578334393" TEXT="Konsistenz der Definitionen pr&#xfc;fen (statisch)">
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@ -96848,18 +96961,27 @@ Date:&#160;&#160;&#160;Thu Apr 20 18:53:17 2023 +0200<br/>
<node BACKGROUND_COLOR="#eee5c3" COLOR="#990000" CREATED="1700491985219" ID="ID_460437503" MODIFIED="1700577836021" TEXT="Adaptierung restrukturieren">
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<node BACKGROUND_COLOR="#eee5c3" COLOR="#990000" CREATED="1700577811739" ID="ID_1356052727" MODIFIED="1700577841449" TEXT="Konfigurations-DSL aufbauen">
<icon BUILTIN="flag-yellow"/>
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700577811739" ID="ID_1356052727" MODIFIED="1700615790193" TEXT="Konfigurations-DSL aufbauen">
<icon BUILTIN="pencil"/>
<node COLOR="#435e98" CREATED="1700615802219" ID="ID_1202526627" MODIFIED="1700615816505" TEXT="probability"/>
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<node COLOR="#435e98" CREATED="1700615809354" ID="ID_664060947" MODIFIED="1700615816506" TEXT="minVal"/>
<node CREATED="1700615812738" ID="ID_1089110674" MODIFIED="1700615814517" TEXT="mapping"/>
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</node>
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700491877926" ID="ID_1958310493" MODIFIED="1700502021655" TEXT="Test zur Dokumentation">
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<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700491902622" ID="ID_523469259" MODIFIED="1700577965111" TEXT="soll auch den Proze&#xdf; der Spezialisierung demonstrieren">
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700491902622" ID="ID_523469259" MODIFIED="1700615927608" TEXT="soll auch das Vorgehen zur Spezialisierung demonstrieren">
<icon BUILTIN="pencil"/>
<node CREATED="1700615879735" ID="ID_1206033672" MODIFIED="1700615946925" TEXT="verwende schon mal spezielle Ergebniswerte">
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</node>
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1700491930155" ID="ID_1583745392" MODIFIED="1700591561138" TEXT="numerische Grenzen beleuchten">
<icon BUILTIN="pencil"/>
<node COLOR="#338800" CREATED="1700600684146" ID="ID_1803348383" MODIFIED="1700600699382" TEXT="Limited -2 .. 0 .. +2">
</node>
<node COLOR="#338800" CREATED="1700491930155" ID="ID_1583745392" MODIFIED="1700615634983" TEXT="numerische Grenzen beleuchten">
<linktarget COLOR="#33b2c7" DESTINATION="ID_1583745392" ENDARROW="Default" ENDINCLINATION="66;-218;" ID="Arrow_ID_1227385946" SOURCE="ID_367849222" STARTARROW="None" STARTINCLINATION="-136;0;"/>
<icon BUILTIN="button_ok"/>
<node COLOR="#338800" CREATED="1700600684146" ID="ID_1803348383" MODIFIED="1700615937015" TEXT="Limited -2 .. 0 .. +2">
<linktarget COLOR="#382e90" DESTINATION="ID_1803348383" ENDARROW="Default" ENDINCLINATION="131;-8;" ID="Arrow_ID_1166708502" SOURCE="ID_1206033672" STARTARROW="None" STARTINCLINATION="-7;7;"/>
<icon BUILTIN="button_ok"/>
</node>
<node COLOR="#338800" CREATED="1700600547646" ID="ID_1733363168" MODIFIED="1700600560846" TEXT="verify some relevant stepping points directly">
@ -96880,6 +97002,57 @@ Date:&#160;&#160;&#160;Thu Apr 20 18:53:17 2023 +0200<br/>
<node COLOR="#338800" CREATED="1700600445406" ID="ID_664166647" MODIFIED="1700600490102" TEXT="various probabilities (0, 1, 0.99, ... 0.10)">
<icon BUILTIN="button_ok"/>
</node>
<node COLOR="#338800" CREATED="1700604864932" ID="ID_1979925834" MODIFIED="1700607874137" TEXT="maxVal = 1">
<icon BUILTIN="button_ok"/>
<node COLOR="#338800" CREATED="1700604931512" ID="ID_1694493549" MODIFIED="1700607872005" TEXT="probability = 0.5">
<icon BUILTIN="button_ok"/>
</node>
<node COLOR="#338800" CREATED="1700604938450" ID="ID_1143473642" MODIFIED="1700607873288" TEXT="probability = 1.0">
<icon BUILTIN="button_ok"/>
</node>
</node>
<node COLOR="#338800" CREATED="1700604956767" ID="ID_892833284" MODIFIED="1700608385397" TEXT="maxVal = 0">
<icon BUILTIN="button_ok"/>
<node COLOR="#338800" CREATED="1700604963920" ID="ID_1628587988" MODIFIED="1700613393796" TEXT="probability = 0.5">
<linktarget COLOR="#a9b4c1" DESTINATION="ID_1628587988" ENDARROW="Default" ENDINCLINATION="109;0;" ID="Arrow_ID_1125759765" SOURCE="ID_1049841145" STARTARROW="None" STARTINCLINATION="6;-34;"/>
<icon BUILTIN="button_ok"/>
</node>
<node COLOR="#338800" CREATED="1700604938450" ID="ID_853219608" MODIFIED="1700608387316" TEXT="probability = 1.0">
<icon BUILTIN="button_ok"/>
</node>
</node>
<node COLOR="#338800" CREATED="1700604977212" ID="ID_491799030" MODIFIED="1700613358705" TEXT="maxVal = -1">
<arrowlink COLOR="#81c09c" DESTINATION="ID_1923479598" ENDARROW="Default" ENDINCLINATION="-376;33;" ID="Arrow_ID_920221846" STARTARROW="None" STARTINCLINATION="267;-354;"/>
<icon BUILTIN="button_ok"/>
<node COLOR="#338800" CREATED="1700604982692" ID="ID_1931542094" MODIFIED="1700613397255" TEXT="probability = 0.5">
<icon BUILTIN="button_ok"/>
<node CREATED="1700613380683" ID="ID_1049841145" MODIFIED="1700613399811" TEXT="verhalten sich zuf&#xe4;llig identisch">
<arrowlink DESTINATION="ID_1628587988" ENDARROW="Default" ENDINCLINATION="109;0;" ID="Arrow_ID_1125759765" STARTARROW="None" STARTINCLINATION="6;-34;"/>
<icon BUILTIN="idea"/>
</node>
</node>
<node COLOR="#338800" CREATED="1700604938450" ID="ID_80447174" MODIFIED="1700613320326" TEXT="probability = 1.0">
<icon BUILTIN="button_ok"/>
</node>
</node>
<node COLOR="#338800" CREATED="1700605189408" ID="ID_757773023" MODIFIED="1700615603606" TEXT="maxVal = 2, minVal=+1">
<icon BUILTIN="button_ok"/>
<node COLOR="#338800" CREATED="1700604982692" ID="ID_405389043" MODIFIED="1700615609458" TEXT="probability = 0.5">
<icon BUILTIN="button_ok"/>
</node>
<node COLOR="#338800" CREATED="1700604938450" ID="ID_351263684" MODIFIED="1700615608914" TEXT="probability = 1.0">
<icon BUILTIN="button_ok"/>
</node>
</node>
<node COLOR="#338800" CREATED="1700606021617" ID="ID_1964921327" MODIFIED="1700615605518" TEXT="maxVal = 0">
<icon BUILTIN="button_ok"/>
<node COLOR="#338800" CREATED="1700606035232" ID="ID_1325704418" MODIFIED="1700615606608" TEXT="f&#xfc;hrt zur Korrektur">
<icon BUILTIN="button_ok"/>
</node>
<node COLOR="#338800" CREATED="1700606041014" ID="ID_1282747236" MODIFIED="1700615607179" TEXT="probability = 0.5">
<icon BUILTIN="button_ok"/>
</node>
</node>
</node>
<node BACKGROUND_COLOR="#eee5c3" COLOR="#990000" CREATED="1700501979956" ID="ID_571312425" MODIFIED="1700577970844" TEXT="Wirkung des Builder-API dokumentieren">
<icon BUILTIN="flag-yellow"/>