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@ -9,5 +9,6 @@ from code.algorithms.search.sequential import SequentialSearch;
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from code.algorithms.search.binary import BinarySearch;
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from code.algorithms.search.interpol import InterpolationSearch;
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from code.algorithms.search.jump import JumpSearchLinear;
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from code.algorithms.search.jump import JumpSearchExponentiell;
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from code.algorithms.search.ith_smallest import FindIthSmallest;
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from code.algorithms.search.ith_smallest_dc import FindIthSmallestDC;
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@ -39,7 +39,7 @@ def postChecks(L: List[int], x: int, index: int, **_):
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@algorithmInfos(name='Sprungsuche', outputnames='index', checks=True, metrics=True, preChecks=preChecks, postChecks=postChecks)
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def JumpSearchLinear(L: List[int], x: int, m: int) -> int:
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'''
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Inputs: L = Liste von Zahlen, x = Zahl, [u, v] = Suchinterval.
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Inputs: L = Liste von Zahlen, x = Zahl, m = lineare Sprunggröße.
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Annahmen:
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- L sei aufsteigend sortiert.
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@ -54,9 +54,39 @@ def JumpSearchLinear(L: List[int], x: int, m: int) -> int:
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block = L[offset:][:m];
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elementAfterBlock = block[-1] + 1;
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if x < elementAfterBlock:
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logDebug('Element muss sich im Block {} befinden.'.format(i));
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logDebug('Element muss sich im Block [{i0}, {i1}) befinden.'.format(i0 = i*m, i1 = (i+1)*m));
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index = SequentialSearch(L=block, x=x);
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return offset + index; # NOTE: muss wegen Offset kompensieren
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logDebug('Element befindet sich nicht im Block {}.'.format(i));
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logDebug('Element befindet sich nicht im im Block [{i0}, {i1}) befinden.'.format(i0 = i*m, i1 = (i+1)*m));
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i += 1;
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return -1;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# ALGORITHM jump search - exponentiell
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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@algorithmInfos(name='Sprungsuche (exponentiell)', outputnames='index', checks=True, metrics=True, preChecks=preChecks, postChecks=postChecks)
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def JumpSearchExponentiell(L: List[int], x: int) -> int:
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'''
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Inputs: L = Liste von Zahlen, x = Zahl.
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Annahmen:
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- L sei aufsteigend sortiert.
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- L enthält keine Duplikate.
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Outputs: Position von x in L, sonst −1 wenn x nicht in L.
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'''
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i0 = 0;
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i1 = 1;
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while i0 < len(L):
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AddToCounter();
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block = L[i0:i1];
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elementAfterBlock = block[-1] + 1;
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if x < elementAfterBlock:
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logDebug('Element muss sich im Block [{i0}, {i1}) befinden.'.format(i0 = i0, i1 = i1));
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index = SequentialSearch(L=block, x=x);
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return i0 + index; # NOTE: muss wegen Offset kompensieren
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logDebug('Element befindet sich nicht im Block [{i0}, {i1}) befinden.'.format(i0 = i0, i1 = i1));
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i0 = i1;
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i1 *= 2;
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return -1;
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@ -27,16 +27,39 @@ parts:
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L: [1, 3, 5, 7, 11, 13, 16, 17, 23, 33, 34, 35]
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x: 17
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m: 3
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## Aus freiwilligem ÜB 2:
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- command: 'algorithm-search-jump-exp'
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inputs:
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L: [1, 3, 5, 7, 11, 13, 16, 17, 23, 33, 34, 35]
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x: 17
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m: 3
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## Freiwilliges ÜB 2, Aufgabe 5
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- command: 'algorithm-search-binary'
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description: 'Freiwilliges ÜB2, A5a'
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inputs: &ref_inputs_ueb2_5
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L: [4, 11, 22, 23, 25, 27, 29, 36, 41, 52, 64, 76, 82, 86, 94, 96, 102, 117, 123, 147, 188, 211, 216, 222, 224, 226, 233, 239, 255, 263, 277, 289]
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x: 117
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- command: 'algorithm-search-jump'
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description: 'Freiwilliges ÜB2, A5b'
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inputs:
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<<: *ref_inputs_ueb2_5
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m: 5
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- command: 'algorithm-search-interpolation'
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description: 'Freiwilliges ÜB2, A5c'
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inputs: *ref_inputs_ueb2_5
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## Freiwilliges ÜB 2, Aufgabe 6
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- command: 'algorithm-search-ith-element'
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description: 'Freiwilliges ÜB2, A6a'
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inputs: &ref_inputs_ueb2_6a
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L: [16, 15, 9, 5, 1, 10, 7, 14, 19, 8]
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i: 2
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- command: 'algorithm-search-ith-element-dc'
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description: 'Freiwilliges ÜB2, A6a (D&C)'
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inputs: *ref_inputs_ueb2_6a
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- command: 'algorithm-search-ith-element'
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description: 'Freiwilliges ÜB2, A6b'
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inputs: &ref_inputs_ueb2_6b
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<<: *ref_inputs_ueb2_6a
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i: 5
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- command: 'algorithm-search-ith-element-dc'
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description: 'Freiwilliges ÜB2, A6b (D&C)'
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inputs: *ref_inputs_ueb2_6b
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@ -47,11 +47,12 @@ def LoopThroughCases(path: str):
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config = ReadConfigFile(path);
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cases = GetAttribute(config, 'parts', 'cases', expectedtype=list, default=[]);
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for caseindex, case in enumerate(cases):
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DisplayStartOfCase(caseindex);
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command = GetAttribute(case, 'command', expectedtype=str, default='');
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descr = GetAttribute(case, 'description', expectedtype=str, default='');
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inputs = GetAttribute(case, 'inputs', expectedtype=dict, default={});
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DisplayStartOfCase(caseindex, descr);
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try:
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if command == 'algorithm-sum-maxsub':
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MaxSubSum(L=inputs['L']);
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@ -65,6 +66,8 @@ def LoopThroughCases(path: str):
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InterpolationSearch(L=inputs['L'], x=inputs['x'], u=0, v=len(inputs['L'])-1);
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elif command == 'algorithm-search-jump':
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JumpSearchLinear(L=inputs['L'], x=inputs['x'], m=inputs['m']);
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elif command == 'algorithm-search-jump-exp':
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JumpSearchExponentiell(L=inputs['L'], x=inputs['x']);
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elif command == 'algorithm-search-ith-element':
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FindIthSmallest(L=inputs['L'], i=inputs['i']);
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elif command == 'algorithm-search-ith-element-dc':
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@ -23,15 +23,32 @@ def DisplayHelpMessage():
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# METHODS display case
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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def DisplayStartOfCase(name: Any):
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def DisplayStartOfCase(index: int, descr: Any):
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DisplayBar(80);
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logPlain('\033[92;1mCASE {}\033[0m'.format(name))
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if not isinstance(descr, str) or descr == '':
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logPlain('\033[92;1mCASE {index}\033[0m.'.format(index=index));
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else:
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logPlain('\033[92;1mCASE {index}\033[0m (\033[1;2m{descr}\033[0m).'.format(index=index, descr=descr));
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return;
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def DisplayEndOfCase():
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DisplayBar(80);
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return;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# METHODS display value
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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def RepresentValue(value: Any) -> Any:
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if value is None or isinstance(value, (str, bool, int, float)):
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return value;
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elif isinstance(value, list):
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if len(value) > 10:
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value = value[:3] + [ '...' ] + value[-2:];
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# return '[{}, ..., {}]'.format(', '.join(value[:3]), ', '.join(value[-2:])
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return value;
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return value;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# METHODS display algorithm start/end
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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@ -40,13 +57,13 @@ def DisplayStartOfAlgorithm(name: str, *_: Any, **inputs: Any):
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logPlain('Ausführung vom Algorithmus: \033[92;1m{}\033[0m'.format(name));
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logPlain('INPUTS');
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for varname, value in inputs.items():
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logPlain(' - {} = {}'.format(varname, value))
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logPlain(' - {} = {}'.format(varname, RepresentValue(value)))
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return;
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def DisplayEndOfAlgorithm(*_: Any, **outputs: Any):
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logPlain('OUTPUTS:')
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for varname, value in outputs.items():
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logPlain(' - {} = {}'.format(varname, value))
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logPlain(' - {} = {}'.format(varname, RepresentValue(value)))
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return;
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def DisplayMetrics():
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