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  {
   "cell_type": "markdown",
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   "metadata": {},
   "source": [
    "# Methoden für boolesche Arrays\n",
    "\n",
    "Boolesche Werte wurden in den vorangegangenen Methoden in 1 (`True`) und 0 (`False`) umgewandelt. Daher wird `sum` oft zum Zählen der `True`-Werte in einem booleschen Array verwendet:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "69fd9f95",
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    "execution": {
     "iopub.execute_input": "2026-05-21T17:25:40.055393Z",
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     "shell.execute_reply.started": "2026-05-21T17:25:40.055368Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b8030f19",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-21T17:25:40.091118Z",
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     "shell.execute_reply.started": "2026-05-21T17:25:40.091106Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.2892129 , -0.67574399, -1.18853755],\n",
       "       [ 0.30108742,  0.27464408,  0.05025632],\n",
       "       [ 0.43357058,  0.88041496, -1.39839326],\n",
       "       [-2.83019669,  0.34271817, -0.46611059],\n",
       "       [ 1.49941927,  0.57624576,  0.00614989],\n",
       "       [-2.65594888,  1.63339514, -0.26199767],\n",
       "       [-1.31868958,  1.97079266, -0.25957685]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rng = np.random.default_rng()\n",
    "data = rng.normal(size=(7, 3))\n",
    "data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35a96a47",
   "metadata": {},
   "source": [
    "Anzahl der positiven Werte:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "28c9eba4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-21T17:25:40.103635Z",
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     "shell.execute_reply.started": "2026-05-21T17:25:40.103627Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.int64(12)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data >= 0).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8335f7e1",
   "metadata": {},
   "source": [
    "Anzahl der negativen Werte:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8fcc6bc8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-21T17:25:40.106497Z",
     "iopub.status.busy": "2026-05-21T17:25:40.106376Z",
     "iopub.status.idle": "2026-05-21T17:25:40.108729Z",
     "shell.execute_reply": "2026-05-21T17:25:40.108436Z",
     "shell.execute_reply.started": "2026-05-21T17:25:40.106485Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.int64(9)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data < 0).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8bcc5984",
   "metadata": {},
   "source": [
    "Es gibt zwei zusätzliche Methoden, `any` und `all`, die besonders für boolesche Arrays nützlich sind:\n",
    "\n",
    "* `any` prüft, ob ein oder mehrere Werte in einem Array wahr sind\n",
    "* `all` prüft, ob jeder Wert wahr ist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "99e05a71",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-21T17:25:40.109371Z",
     "iopub.status.busy": "2026-05-21T17:25:40.109263Z",
     "iopub.status.idle": "2026-05-21T17:25:40.112103Z",
     "shell.execute_reply": "2026-05-21T17:25:40.111800Z",
     "shell.execute_reply.started": "2026-05-21T17:25:40.109362Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ True, False, False],\n",
       "       [ True,  True, False],\n",
       "       [ True,  True, False],\n",
       "       [False,  True, False],\n",
       "       [False,  True,  True],\n",
       "       [False, False, False],\n",
       "       [False,  True,  True]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data2 = rng.normal(size=(7, 3))\n",
    "bools = data > data2\n",
    "\n",
    "bools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "22887677",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-21T17:25:40.113563Z",
     "iopub.status.busy": "2026-05-21T17:25:40.113466Z",
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     "shell.execute_reply.started": "2026-05-21T17:25:40.113555Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.True_"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bools.any()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bc1b7a96",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-21T17:25:40.116404Z",
     "iopub.status.busy": "2026-05-21T17:25:40.116290Z",
     "iopub.status.idle": "2026-05-21T17:25:40.118730Z",
     "shell.execute_reply": "2026-05-21T17:25:40.118372Z",
     "shell.execute_reply.started": "2026-05-21T17:25:40.116390Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.False_"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bools.all()"
   ]
  }
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