{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-03-04T09:40:28.904Z",
     "iopub.status.busy": "2024-03-04T09:40:28.896Z",
     "iopub.status.idle": "2024-03-04T09:40:28.978Z",
     "shell.execute_reply": "2024-03-04T09:40:28.967Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-03-04T10:02:39.062Z",
     "iopub.status.busy": "2024-03-04T10:02:39.057Z",
     "iopub.status.idle": "2024-03-04T10:02:39.068Z",
     "shell.execute_reply": "2024-03-04T10:02:39.071Z"
    }
   },
   "outputs": [],
   "source": [
    "# create a collection of time series\n",
    "# in real life, this data comes from an experiment/simulation\n",
    "n_series = 128\n",
    "len_one_series = 2**15  # ➔ 2^15 = 32768 items (8 B x 2^15 = 262144 B = 256 K)\n",
    "time_series = []\n",
    "for idx in range(n_series):\n",
    "    time_series.append(np.zeros((len_one_series,1), dtype='float64'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-03-04T10:02:41.027Z",
     "iopub.status.busy": "2024-03-04T10:02:41.020Z",
     "iopub.status.idle": "2024-03-04T10:02:41.036Z",
     "shell.execute_reply": "2024-03-04T10:02:41.040Z"
    }
   },
   "outputs": [],
   "source": [
    "# how much memory does one time series need?\n",
    "ts_size = time_series[0].nbytes/2**10 # -> 2^10 is 1 K\n",
    "print(f'Size of one time series: {int(ts_size)} K')\n",
    "print(f'Size of collection: {int(n_series*ts_size/1024)} M')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-03-04T10:06:08.461Z",
     "iopub.status.busy": "2024-03-04T10:06:08.459Z",
     "iopub.status.idle": "2024-03-04T10:06:08.466Z",
     "shell.execute_reply": "2024-03-04T10:06:08.468Z"
    }
   },
   "outputs": [],
   "source": [
    "# let's load the collection in one big array\n",
    "def load_data_row(x, time_series):\n",
    "    \"\"\"Store one time series per raw\"\"\"\n",
    "    for row, ts in enumerate(time_series):\n",
    "        x[row,:] = ts\n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-03-04T10:06:10.280Z",
     "iopub.status.busy": "2024-03-04T10:06:10.277Z",
     "iopub.status.idle": "2024-03-04T10:06:10.284Z",
     "shell.execute_reply": "2024-03-04T10:06:10.288Z"
    }
   },
   "outputs": [],
   "source": [
    "# let's load the collection in one big array\n",
    "def load_data_column(x, time_series):\n",
    "    \"\"\"Store one time series per column\"\"\"\n",
    "    for column, ts in enumerate(time_series):\n",
    "        x[:,column] = ts\n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-03-04T10:06:14.959Z",
     "iopub.status.busy": "2024-03-04T10:06:14.956Z",
     "iopub.status.idle": "2024-03-04T10:06:17.437Z",
     "shell.execute_reply": "2024-03-04T10:06:17.443Z"
    }
   },
   "outputs": [],
   "source": [
    "x = np.zeros((n_series, len_one_series, 1), dtype='float64')\n",
    "%timeit load_data_row(x, time_series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-03-04T10:06:20.056Z",
     "iopub.status.busy": "2024-03-04T10:06:20.053Z",
     "iopub.status.idle": "2024-03-04T10:06:21.695Z",
     "shell.execute_reply": "2024-03-04T10:06:21.700Z"
    }
   },
   "outputs": [],
   "source": [
    "x = np.zeros((len_one_series, n_series, 1), dtype='float64')\n",
    "%timeit load_data_column(x, time_series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# on my machine: 2.2 ms vs 33.9 ms ≈ 15x slowdown!!!"
   ]
  }
 ],
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