Rearranged plots and added datavoyager

Author: jlperla

dynamics_examples.ipynb

@@ -68,6 +68,13 @@
     "settings = (z = z_grid, tstops = 0:1e-3:T, Δ_E = 1e-04)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Testing and profiling the core function"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
@@ -84,19 +91,11 @@
     "@btime f!($resid,$du,$u,[ ],$t)"
    ]
   },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "resid"
-   ]
-  },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
+    "## Solving the Full Problem with Dynamics\n",
     "Now let's solve the problem and draw the plots!"
    ]
   },
@@ -107,76 +106,20 @@
    "outputs": [],
    "source": [
     "# solve the dynamics!\n",
-    "solved_tuple = solve_dynamics(params_T, stationary_sol, settings, T, Ω)\n",
+    "@time solved_tuple = solve_dynamics(params_T, stationary_sol, settings, T, Ω)\n",
     "solved = solved_tuple.results\n",
     "v_t0 = solved_tuple.sol.u[1][1:M]\n",
     "v0 = solved[:v_0]\n",
     "\n",
     "# save v0 and v_hat_t0\n",
-    "v_hat_t0 = map(z -> exp((params.σ-1)*z), z_grid) .* v_t0"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "plot(solved.t, solved.entry_residual, label = \"entry_residual\", lw = 3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "plot(solved.t, solved.g, label = \"g\", lw = 3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "plot(solved.t, solved.z_hat, label = \"z_hat\", lw = 3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "plot(solved.t, solved.S, label = \"S\", lw = 3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "plot(solved.t, solved.L_tilde, label = \"L_tilde\", lw = 3)"
+    "v_hat_t0 = map(z -> exp((params.σ-1)*z), z_grid) .* v_t0;"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "plot(solved.t, solved.z_bar, label = \"z_bar\", lw = 3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
+   "cell_type": "markdown",
    "metadata": {},
-   "outputs": [],
    "source": [
-    "plot(solved.t, solved.π_min, label = \"pi_min\", lw = 3)"
+    "## Primary Plots"
    ]
   },
   {
@@ -185,16 +128,18 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "plot(solved.t, solved.λ_ii, label = \"lambda_ii\", lw = 3)"
+    "plot1 = plot(solved.t, solved.g, label = \"g\", lw = 3)\n",
+    "plot2 = plot(solved.t, solved.z_hat, label = \"z_hat\", lw = 3)\n",
+    "plot3 = plot(solved.t, solved.S, label = \"S\", lw = 3)\n",
+    "plot4 = plot(solved.t, solved.entry_residual, label = \"entry_residual\", lw = 3)\n",
+    "plot(plot1, plot2, plot3, plot4, layout=(2,2))"
    ]
   },
   {
-   "cell_type": "code",
-   "execution_count": null,
+   "cell_type": "markdown",
    "metadata": {},
-   "outputs": [],
    "source": [
-    "plot(solved.t, solved.c, label = \"c\", lw = 3)"
+    "## Static Equations"
    ]
   },
   {
@@ -203,7 +148,14 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "plot(solved.t, solved.E, label = \"E\", lw = 3)"
+    "plot1 = plot(solved.t, solved.L_tilde, label = \"L_tilde\", lw = 3)\n",
+    "plot2 = plot(solved.t, solved.z_bar, label = \"z_bar\", lw = 3)\n",
+    "plot3 = plot(solved.t, solved.π_min, label = \"pi_min\", lw = 3)\n",
+    "plot4 = plot(solved.t, solved.λ_ii, label = \"lambda_ii\", lw = 3)\n",
+    "plot5 = plot(solved.t, solved.c, label = \"c\", lw = 3)\n",
+    "plot6 = plot(solved.t, solved.E, label = \"E\", lw = 3)\n",
+    "plot7 = plot(z_grid, v_hat_t0, label = \"v_hat at t = 0\", lw = 3)\n",
+    "plot(plot1, plot2, plot3, plot4, plot5, plot6, layout=(3,2))"
    ]
   },
   {
@@ -212,17 +164,18 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "plot(z_grid, v_hat_t0, label = \"v_hat at t = 0\", lw = 3)"
+    "# Can examine the returned data with the Voyager and/or Vegalite\n",
+    "using DataVoyager, VegaLite\n",
+    "solved |> Voyager()\n",
+    "#solved |> @vlplot(:line, x = :t, y = :g, width=400, height=400)"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
    "metadata": {},
    "outputs": [],
-   "source": [
-    "solved.v_0"
-   ]
+   "source": []
   }
  ],
  "metadata": {