diff --git a/Code/test_double.ipynb b/Code/test_double.ipynb new file mode 100644 index 0000000..6d867ae --- /dev/null +++ b/Code/test_double.ipynb @@ -0,0 +1,130 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "4104cbdc-87e8-4be6-b2aa-064a5c0d1bde", + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from torch.autograd.functional import jacobian\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "bf266b6c-e071-45e4-8001-69fe4a70517a", + "metadata": {}, + "outputs": [], + "source": [ + "a = torch.tensor([2., 3.], requires_grad=True)\n", + "b = torch.tensor([6., 4.], requires_grad=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "ad508a39-9690-45e0-af0b-c2c9f6819ad3", + "metadata": {}, + "outputs": [], + "source": [ + "def C(a,b):\n", + " return a*torch.exp(b)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "baabba71-6bcd-46cb-8d31-336087eb6e9f", + "metadata": {}, + "outputs": [], + "source": [ + "def D(a,b):\n", + " return a@b * jacobian(C,(a,b))[0].inverse()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "3f098bbe-6ed9-48e7-ae9a-a88992a72541", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tensor([[0.0025, -0.0000],\n", + " [0.0000, 0.0183]])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jacobian(C,(a,b))[0].inverse()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "f6dd665f-2965-4e7f-9d3b-2c1ce3ff522e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(tensor([[[0.0149, 0.0099],\n", + " [0.0000, 0.0000]],\n", + " \n", + " [[0.0000, 0.0000],\n", + " [0.1099, 0.0733]]]),\n", + " tensor([[[0.0050, 0.0074],\n", + " [0.0000, 0.0000]],\n", + " \n", + " [[0.0000, 0.0000],\n", + " [0.0366, 0.0549]]]))" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jacobian(D,(a,b))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8ca4b6a4-1a13-4ad4-8856-a38ac69d96a6", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}