very experimental example breaking

2/symbol.ipynb

@@ -36,7 +36,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -53,7 +53,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -70,7 +70,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
@@ -82,7 +82,7 @@
        "x**3 - x - 2"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -112,7 +112,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
@@ -124,7 +124,7 @@
        "(1 + sqrt(3))/2"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -157,7 +157,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
@@ -192,7 +192,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -208,7 +208,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
@@ -217,7 +217,7 @@
        "np.float64(1.5213797068045676)"
       ]
      },
-     "execution_count": 7,
+     "execution_count": 19,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -258,7 +258,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -286,9 +286,9 @@
     "        return (low, 0)\n",
     "    elif ldaprx(0, fh):\n",
     "        return (high, 0)\n",
-    "\n",
+    "    else:\n",
-    "    while (steps := steps + 1) and (max_loop := max_loop - 1) + 1:\n",
     "        mid = (low + high) / 2\n",
+    "    while (steps := steps + 1) and (max_loop := max_loop - 1) + 1 > 0:\n",
     "        match f(mid):\n",
     "            case x if ldaprx(0, x):\n",
     "                return (mid, steps)\n",
@@ -296,12 +296,13 @@
     "                low = mid\n",
     "            case x if x > 0:\n",
     "                high = mid\n",
+    "        mid = (low + high) / 2\n",
     "    return (mid, steps)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
@@ -310,7 +311,7 @@
        "(1.5213797068045676, 52)"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     }

3/readme.md

@@ -3,3 +3,11 @@
 ## what the hell
 
 its a systems solver
+
+## so uh
+
+iterative method is
+
+$$
+    x_{i+1} = x_i - \frac{f{x_i}}{f'(x_i)}
+$$