{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The `ASD` Class\n", "\n", "The `ASD` class computes the azimuthally averaged surface density profile, $\\bar\\Sigma(r)$, by integrating the product of the eccentricity kernel $\\Phi_e(r, a)$ and the semi-major axis surface density profile $\\Sigma_a(a)$. This follows the formalism: \n", "\n", "$$\n", "\\bar\\Sigma(r) = \\frac{1}{\\pi} \\int_{r/2}^{\\infty} \\frac{\\Sigma_a(a)}{a} \\, \\Phi_e(r, a) \\, da.\n", "$$\n", "\n", "After initialising the `ASD` class, the integration can be carried out using two methods:\n", "\n", "- `compute_quadvec()`: adaptive method using SciPy’s `quad_vec`, suitable for most eccentricity profiles. Not ideal in complex scenarios as the integration limits are fixed.\n", "- `compute_gl()`: Fast, adaptive Gauss–Legendre quadrature over the defined $r$ values. Has flexible, adaptive integration limits, and built-in \"rescue rounds\" to smartly integrate difficult points where traditional methods like `quad_vec` would fail and return 0.\n", "\n", "\n", "The `ASD` class is flexible and works with any combination of $\\Sigma_a(a)$ and $\\Phi_e(r, a)$, including user-supplied ones.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialising the Class\n", "\n", "To initialise the `ASD` class, you must supply a precomputed `Kernel` and `SigmaA` object. These can correspond to **any** valid pair of surface density profile $\\Sigma_a(a)$ and kernel function $\\Phi_e(r, a)$ — including built-in options and custom user-defined forms.\n", "\n", "⚠️ **Important:** The first argument must be the `Kernel`, and the second must be the `SigmaA`. Reversing the order will result in an error.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from debrispy import SigmaA, UniqueEccentricity, Kernel, ASD\n", "import numpy as np\n", "\n", "# Define the SigmaA profile\n", "sigma_a_profile = SigmaA(a_min=1, a_max=4, profile_type='power_law', sigma0=1, power=0.5)\n", "\n", "# Define the eccentricity profile and compute the kernel\n", "power_law = UniqueEccentricity(a_min=1, a_max=4, e0=0.5, power=0.7)\n", "kernel = Kernel(eccentricity_profile=power_law, \n", " r_min = 0.01, r_max = 5)\n", "kernel.compute()\n", "\n", "# Initialise the ASD class\n", "asd = ASD(kernel, sigma_a_profile)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing the ASD with `quadvec`\n", "\n", "The `compute_quadvec()` method allows the user to compute the ASD using SciPy’s adaptive vectorised integrator `quad_vec`. This is a robust, paralellised and general-purpose integration method that is well-suited for most use cases, especially when the eccentricity kernel $\\Phi_e(r, a)$ varies smoothly.\n", "\n", "### Key Features\n", "\n", "- **Ease of Use**: Requires only the array of $r$ values over which to evaluate $\\bar\\Sigma(r)$. No additional setup or tuning is needed.\n", "- **Robustness**: A good first approach for new users or for testing simple, smooth profiles. The method handles standard integration tasks with minimal effort.\n", "- **Tolerances**: Accepts optional relative and absolute tolerances via `tol_rel` and `tol_abs` arguments (default: `1e-8`), which control the precision of the integration.\n", "- **Limitations**: Since `quad_vec` uses fixed integration limits and does not adapt based on the structure of the kernel, it can struggle with highly structured or sharp eccentricity profiles. In such cases, we recommend switching to the more flexible and efficient `compute()` method based on custom Gauss–Legendre quadrature.\n", "\n", "\n", "While `quadvec` is highly general and stable, it is generally **slower** than the built-in Gauss–Legendre integration implemented in `compute()`, especially when evaluated over a dense $r$ grid. Users working with complex eccentricity distributions or requiring fine control over integration behaviour are encouraged to use `compute()` instead.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 1: Unique Eccentricity Distribution\n", "\n", "In this example, we demonstrate how to compute the azimuthally symmetric surface density profile $\\bar\\Sigma(r)$ using a **unique eccentricity profile**.\n", "\n", "We define the following profiles:\n", "\n", "- **Semi-major axis surface density**: $\\Sigma_a(a) = \\left( 1/a \\right)^{0.5}$\n", "\n", "- **Eccentricity profile**: $e(a) = 0.5 \\left( 1/a \\right)^{0.7}$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "asd.compute_quadvec(r_vals = np.linspace(0.01, 5, 500))\n", "asd.plot(a_vals = np.linspace(0.01, 5, 500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 2: Rayeleigh Distribution\n", "\n", "In this example, we use a **Rayleigh eccentricity distribution**. \n", "\n", "The distribution is governed (see eccentricity section) by a dispersion profile: $ \\sigma(a) = 0.4 \\cdot \\left( 1/a \\right)^{0.5} $" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from debrispy import RayleighEccentricity\n", "\n", "# Define the SigmaA profile\n", "sigma_a_profile = SigmaA(a_min=1, a_max=4, profile_type='power_law', sigma0=1, power=0.5)\n", "\n", "# Define the eccentricity profile and compute the kernel\n", "rayleigh = RayleighEccentricity(a_min=1, a_max=4, sigma0=0.4, power=0.5)\n", "kernel = Kernel(eccentricity_profile=rayleigh, \n", " r_min = 0.01, r_max = 6)\n", "kernel.compute()\n", "\n", "# Initialise the ASD class\n", "asd = ASD(kernel, sigma_a_profile)\n", "\n", "asd.compute_quadvec(r_vals = np.linspace(0.01, 6, 500))\n", "asd.plot(a_vals = np.linspace(0.01, 6, 500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing the ASD using Adaptive Gauss–Legendre\n", "\n", "The `compute_gl()` method offers a robust and flexible way to compute the azimuthally averaged surface density profile, $\\bar{\\Sigma}(r)$, using **adaptive Gauss–Legendre quadrature**. This method is ideal for complex or sharp eccentricity profiles, especially when `quad_vec` integration fails or becomes inefficient.\n", "\n", "Unlike `quadvec`, which is easy to use but has fixed limits and limited control, this method gives the user detailed control over the integration process.\n", "\n", "This method has many parameters which can be tuned by the user to strike a balance between computational efficiency and numerical accuracy.\n", "\n", "### How It Works\n", "\n", "- The method uses recursive adaptive Gauss–Legendre integration over the semi-major axis $a$, at each radius $r$.\n", "- For each $r$, it computes the integrand and integrates over $a$ using a custom-built Gauss–Legendre integrator that supports error control and subdivision. \n", "- This integration can be parallelised over $r$, and the batch_size and number of jobs (via `joblib`) a tunable parameter.\n", "- When `adaptive_limits=True`, the integration bounds are reduced dynamically to the support region where eccentric particles can reach radius $r$, which can significantly speed up the computation.\n", "\n", "### Parameters\n", "\n", "| Parameter | Description |\n", "|------------------|-------------|\n", "| `r_vals` | Array of radius values $r$ to compute $\\bar{\\Sigma}(r)$. If `None`, uses 500 evenly spaced points between `kernel.r_min` and `kernel.r_max`. |\n", "| `n_points` | Number of Gauss–Legendre points per subinterval. Higher values give more accuracy but increase computation time. Default: `64`. |\n", "| `tol_rel` | Relative tolerance for adaptive integration. Used to trigger subdivision. Default: `1e-8`. |\n", "| `tol_abs` | Absolute tolerance for adaptive integration. Default: `1e-8`. |\n", "| `max_level` | Maximum allowed recursion depth (i.e., maximum number of subdivisions per integral). Default: `15`. |\n", "| `n_jobs` | Number of CPU cores to use. Set to `-1` to use all available cores. Parallelism is used to compute $\\bar{\\Sigma}(r)$ at multiple $r$ values. |\n", "| `show_progress` | If `True`, displays a progress bar using `tqdm`. Recommended for long computations. |\n", "| `pad` | Padding added to adaptive integration bounds, expressed as a fraction of $a$. Default: `0.05`. Used only when `adaptive_limits=True`. |\n", "| `rf` (rescue factor) | Multiplier for `n_points` used when re-evaluating failed integrations during the rescue pass. Default: `5.0`. (See details at the Rescue Pass section below) |\n", "| `adaptive_limits`| If `True`, uses custom integration bounds for each $r$ based on the eccentricity profile. Only supported for unique eccentricity profiles. Can dramatically reduce computation time for narrow support. |\n", "| `batch_size` | Number of $r$ values to process in each parallel job. Default: `10`. |\n", "| `verbose` | If `True`, prints diagnostic information, warnings, and progress summaries. |\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fixed Integration Limits\n", "\n", "Firstly, we demonstrate an example (same Rayleigh distribution as above) with **fixed** integration limits. In this case, the integral at every $r$ value is evaluated between `a_min` and `a_max`. This is sufficient for most eccentricity profiles, especially if they are smooth." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing ASD with Gauss-Legendre (with fixed limits)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "GL @ 64 pts: 100%|██████████| 50/50 [00:01<00:00, 31.23it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Done. Final result has 500 valid points.\n", "\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define the SigmaA profile\n", "sigma_a_profile = SigmaA(a_min=2, a_max=3, profile_type='power_law', sigma0=1, power=0)\n", "\n", "# Define the eccentricity profile and compute the kernel\n", "rayleigh = RayleighEccentricity(a_min=2, a_max=3, sigma0=0.4, power=0.5)\n", "kernel = Kernel(eccentricity_profile=rayleigh, \n", " r_min = 0.01, r_max = 6)\n", "kernel.compute()\n", "\n", "# Initialise the ASD class\n", "asd = ASD(kernel, sigma_a_profile)\n", "\n", "asd.compute_gl(r_vals = np.linspace(0.01, 6, 500), \n", " n_points = 64, \n", " max_level = 15, \n", " n_jobs = 4, \n", " show_progress = True, \n", " verbose = True)\n", "\n", "asd.plot(a_vals = np.linspace(0.01, 6, 500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adaptive Integration Limits\n", "\n", "The idea behind adaptive integration limits is to significantly reduce the integration domain for each $r$ value by **identifying the regions of the integrand that actually contribute to the integral.**\n", "\n", "For each radius $r$, we compute the corresponding $\\kappa = |1 - r/a|$, and determine where the eccentricity profile $e(a)$ satisfies $e(a) > \\kappa$. Based on the kernel definition, we know that the integrand is zero outside this region. Therefore, the integration bounds are automatically adjusted to this non-zero domain to improve both **efficiency** and **accuracy**.\n", "\n", "This functionality is enabled by setting `adaptive_limits = True`. \n", "\n", "To safeguard against floating point errors or very narrow support, the integration range is slightly extended on both sides using a small padding factor. This is set via `pad=0.05` (default).\n", "\n", "Below, we illustrate this mechanism using a periodic eccentricity profile that sharply falls to zero at regular intervals. **Note that this profile is arbitrarily chosen (i.e. not based on physics) to demonstrate how the region with $e(a) > \\kappa$ is automatically identified and used as the integration domain.**" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Demonstration of the 'smart' integration limits\n", "import matplotlib.pyplot as plt\n", "\n", "ecc_profile = UniqueEccentricity(a_min=1, a_max=6, eccentricity_func=lambda a: 0.2*np.exp(-a/5)*np.abs(np.sin(a*7*np.pi/2)))\n", "ecc_vals = ecc_profile.eccentricity(a = np.linspace(1, 6, 1000))\n", "\n", "def kappa(a, r):\n", " return np.abs(1 - r/a)\n", "\n", "\n", "func = ecc_profile.eccentricity(a = np.linspace(1, 6, 1000)) - kappa(np.linspace(1, 6, 1000), 4)\n", "zero_crossings = np.where(np.diff(np.sign(func)))[0]\n", "first_zero = zero_crossings[0]\n", "last_zero = zero_crossings[-1]\n", "\n", "\n", "plt.figure(figsize=(10, 5))\n", "\n", "plt.plot(np.linspace(1, 6, 1000), ecc_vals, label = r'$e(a)$')\n", "plt.plot(np.linspace(1, 6, 1000), kappa(np.linspace(1, 6, 1000), 4), label = r'$\\kappa(a, r=4)$')\n", "plt.fill_betweenx(np.linspace(0, 0.2, 1000), \n", " np.linspace(1, 6, 1000)[first_zero], \n", " np.linspace(1, 6, 1000)[last_zero], \n", " color='grey', alpha=0.3, \n", " label = 'Valid Region')\n", "\n", "plt.ylim(0, 0.2)\n", "plt.xlim(2.5, 5.5)\n", "plt.grid(alpha = 0.3)\n", "plt.xlabel(r'Semi-Major Axis, $a$', fontsize = 12)\n", "plt.ylabel(r'Eccentricity, $e$', fontsize = 12)\n", "plt.legend(fontsize = 12, loc = 'upper left')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now compute the ASD via `compute_gl`, setting `adaptive_limits = True`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing ASD with Gauss-Legendre (with adaptive limits)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "GL @ 128 pts: 100%|██████████| 100/100 [00:03<00:00, 28.03it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Done. Final result has 1000 valid points.\n", "\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma_a_profile = SigmaA(a_min=1, a_max=6, profile_type='power_law', sigma0=1, power=0.5)\n", "\n", "# Define the eccentricity profile and compute the kernel\n", "ecc_profile = UniqueEccentricity(a_min=1, a_max=6, eccentricity_func=lambda a: 0.2*np.exp(-a/5)*np.abs(np.sin(a*7*np.pi/2)))\n", "\n", "kernel = Kernel(eccentricity_profile=ecc_profile, \n", " r_min = 0.01, r_max = 8)\n", "kernel.compute()\n", "\n", "asd = ASD(kernel, sigma_a_profile)\n", "\n", "asd.compute_gl(r_vals = np.linspace(0.01, 7, 1000), n_points = 128, adaptive_limits = True, show_progress = True, verbose = True)\n", "asd.plot(a_vals = np.linspace(0.01, 7, 500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A Note on Rescue Rounds\n", "\n", "When working with sharply peaked or narrow eccentricity profiles (especially those that approach zero over most of their domain) the support of the integrand can become **extremely narrow**. In such cases, the Gauss–Legendre integration may fail to resolve the region of non-zero contribution if the number of points (`n_points`) is too small. This is particularly common when using moderate values such as `n_points=64`.\n", "\n", "To mitigate this, the ASD class includes a **rescue mechanism** that attempts to detect and correct such failures:\n", "\n", "- During the integration, we monitor for *suspicious zero values* in the output $\\bar{\\Sigma}(r)$. These are defined as **isolated zeros**, i.e., grid points where the result is zero but neighbouring $r$ values are clearly non-zero.\n", "- If such a point is detected, it is flagged for a **rescue round**, where the integration is redone **only for that point**, using an increased number of quadrature points:\n", " \n", " $$\n", " n_{\\mathrm{rescue}} = n_\\mathrm{points} \\times \\mathrm{rf}\n", " $$\n", " \n", " where `rf` is the **rescue factor**, defaulting to `5.0`.\n", "\n", "After this round, if any suspicious points still remain, we check the **adaptive integration bounds**:\n", "\n", "- If *no region* was found where $e(a) > \\kappa$, we silently ignore the point. This corresponds to an infinitesimally narrow dip in surface density, which is not representable on a finite $r$ grid.\n", "- If a valid integration region *was* found but the integral still returns zero, a **warning** is printed, suggesting the user try a higher `rf` value or manually inspect the eccentricity profile.\n", "\n", "This mechanism helps stabilise the integration in difficult regions without compromising performance across the full $r$ range. For typical use, the default `rf=5.0` is sufficient." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Refining the $\\bar\\Sigma(r)$ Grid\n", "\n", "For disc profiles with **very narrow features**, a uniform $r$-grid may require a large number of points to resolve them accurately. Instead, we provide an adaptive **curvature-based refinement** method, which sequentially inserts points in regions of high variation in $\\bar\\Sigma(r)$.\n", "\n", "This is done using the `refine()` method.\n", "\n", "### How it Works\n", "\n", "1. Starting from an initial $\\bar\\Sigma(r)$ grid, the code computes a **second finite difference (curvature)**.\n", "2. If the curvature at a point exceeds a user-defined threshold, the region is flagged.\n", "3. New $r$-values are inserted between the flagged points and their neighbours.\n", "4. These new points are integrated using Gauss-Legendre quadrature.\n", "5. The process repeats up to `max_rounds` times.\n", "\n", "This results in a much more efficient allocation of grid points, concentrating them where $\\bar\\Sigma(r)$ changes the most.\n", "\n", "\n", "### Parameters\n", "\n", "| Parameter | Description |\n", "|----------------------|-------------|\n", "| `curvature_factor` | Multiplier used to determine the curvature threshold. A higher value leads to fewer points being added. Default: `1.0`. |\n", "| `max_rounds` | Maximum number of refinement rounds to perform. Default: `3`. |\n", "| `subdiv` | Number of subdivisions to insert between flagged $r$ values. `subdiv=2` adds one midpoint between each flagged pair. |\n", "| `n_jobs` | Number of CPU cores to use. `-1` uses all available cores. |\n", "| `show_progress` | If `True`, displays a progress bar during integration. |\n", "| `n_points` | Number of Gauss–Legendre points per integration interval. Default: `64`. |\n", "| `tol_rel` | Relative tolerance for the Gauss–Legendre integrator. Default: `1e-8`. |\n", "| `tol_abs` | Absolute tolerance. Default: `1e-8`. |\n", "| `max_level` | Maximum recursion depth for adaptive integration. Default: `25`. |\n", "| `adaptive_limits` | If `True`, computes integration limits locally based on the eccentricity profile. Only supported for `UniqueEccentricity`. |\n", "| `rf` *(rescue factor)* | Factor by which `n_points` is multiplied during the rescue pass. Used to re-integrate suspicious zero points. Default: `10.0`. |\n", "| `pad` | Padding applied to adaptive integration bounds (as a fraction of $a$). Default: `0.05`. |\n", "| `batch_size` | Number of $r$ values per parallel batch. Default: `10`. |\n", "\n", "\n", "\n", "- This method **only works with `UniqueEccentricity` profiles**.\n", "- To run the refinement round, the user must first do an initial computation of the ASD (low resolution) using their chosen method.\n", "\n", "An example can be seen above, where we first compute $\\bar\\Sigma(r)$ for a low-resolution grid, and then refine it." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing ASD with Gauss-Legendre (with adaptive limits)...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "GL @ 128 pts: 100%|██████████| 20/20 [00:00<00:00, 228.57it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Done. Final result has 200 valid points.\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma_a_profile = SigmaA(a_min=1, a_max=6, profile_type='power_law', sigma0=1, power=0.5)\n", "\n", "# Define the eccentricity profile and compute the kernel\n", "ecc_profile = UniqueEccentricity(a_min=1, a_max=6, eccentricity_func=lambda a: 0.2*np.exp(-a/5)*np.abs(np.sin(a*7*np.pi/2)))\n", "\n", "kernel = Kernel(eccentricity_profile=ecc_profile, \n", " r_min = 0.01, r_max = 8)\n", "kernel.compute()\n", "\n", "asd = ASD(kernel, sigma_a_profile)\n", "\n", "asd.compute_gl(r_vals = np.linspace(0.01, 7, 200), n_points = 128, adaptive_limits = True, show_progress = True, verbose = True)\n", "asd.plot(a_vals = np.linspace(0.01, 7, 300), grid_hist = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now applying the grid refinement (the histogram above displays the concentration of grid points at sharp regions):" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "---- Refining Round 1/3 ----\n", "Added 131 points.\n", "---- Refining Round 2/3 ----\n", "Added 187 points.\n", "---- Refining Round 3/3 ----\n", "Added 231 points.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "asd.refine(curvature_factor = 1, max_rounds = 3, subdiv=2, rf=5.0, batch_size = 10, n_jobs = -1, adaptive_limits = True)\n", "asd.plot(a_vals = np.linspace(0.01, 7, 200), grid_hist = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Additional Functionality" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Obtaining $\\bar\\Sigma(r)$ Values\n", "\n", "Once the ASD has been computed using any given method, the results can be retrieved using the `get_values()` method.\n", "\n", "This returns two arrays:\n", "- The array of radius values, $r$.\n", "- The corresponding surface density values, $\\bar\\Sigma(r)$.\n", "\n", "If the ASD has not yet been computed, this method will raise an error to ensure users don’t accidentally access uninitialised results." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "r_vals, sigma_r_vals = asd.get_values()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convolution\n", "\n", "After computing the ASD, users may apply a Gaussian convolution using the `convolve()` method. This is particularly useful when comparing theoretical predictions to observations, which often have finite resolution.\n", "\n", "#### Parameters\n", "\n", "- `width` (float): The width of the Gaussian kernel (in the same units as $r$) to smooth the ASD.\n", "- `M` (int, default: 2048): Number of points used for interpolation if the $r$-grid is non-uniform.\n", "\n", "\n", "If the $r$ grid is uniform, the method applies `scipy.ndimage.gaussian_filter1d` directly.\n", "\n", "If the $r$ grid is non-uniform, the method interpolates the ASD to a uniform grid, performs the convolution, and then interpolates the result back to the original $r$ grid.\n", "\n", "> Note: Any minor uncertainty introduced by interpolation in the non-uniform case is effectively cancelled out by the subsequent Gaussian blur.\n", "\n", "The smoothed values are cached as `self._sigma_r_conv`, and always correspond to the last calculated ASD profile (i.e., the output of the most recent `compute()` or `refine()` call)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "convolved_values = asd.convolve(width = 0.05)\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(r_vals, sigma_r_vals, label = r'$\\bar\\Sigma(r)$')\n", "plt.plot(r_vals, convolved_values, label = r'$\\bar\\Sigma(r)$ (Convolved)')\n", "plt.plot(np.linspace(0.01, 7, 200), sigma_a_profile(np.linspace(0.01, 7, 200)), label = r'$\\Sigma_a(a)$', zorder = 0)\n", "plt.ylim(0, 1.5)\n", "plt.legend(fontsize = 12, loc = 'upper right')\n", "plt.xlabel(r'$a$, $r$', fontsize = 12)\n", "plt.ylabel(r'$\\Sigma_a(a)$, $\\bar\\Sigma(r)$', fontsize = 12)\n", "plt.grid(alpha = 0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting Tools\n", "\n", "#### Plot Integrand\n", "\n", "The `plot_integrand()` method visualises the 2D integrand used in the ASD calculation.\n", "\n", "This is useful for diagnosing sharp features, verifying where the function is concentrated, or identifying integration issues. It provides a clear overview of the support and structure of the integrand across $a$ and $r$.\n", "\n", "The plotting parameters include:\n", "\n", "| Parameter | Description |\n", "|---------------|-------------|\n", "| `a_vals` | Optional array of semi-major axis values to evaluate the integrand over. If `None`, uses a default linspace. |\n", "| `r_vals` | Optional array of radius values to evaluate the integrand over. If `None`, uses a default linspace. |\n", "| `save` | If `True`, saves the plot to disk. Requires `filename`. |\n", "| `filename` | Path to save the plot. Must be provided if `save=True`. |\n", "| `vmin` | Minimum value for the colour scale. If `None`, uses the minimum non-zero value of the data. |\n", "| `vmax` | Maximum value for the colour scale. If `None`, uses the maximum value of the data. |\n", "| `log` | If `True`, applies logarithmic colour scaling (ignoring non-positive values). Default is `True`. |\n", "| `cmap` | Colormap to use (default: `\"viridis\"`). |\n", "| `colorbar` | Whether to display a colourbar alongside the plot. Default is `True`. |\n", "| `r_lim` | Tuple specifying x-axis (radius) limits. |\n", "| `a_lim` | Tuple specifying y-axis (semi-major axis) limits. |\n", "| `**imshow_kwargs` | Additional keyword arguments passed directly to `imshow()`. |" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "asd.plot_integrand(a_vals = np.linspace(1, 6, 2000),\n", " r_vals = np.linspace(0.01, 7, 2000),\n", " log=True, cmap=\"plasma\", r_lim=(0, 7), a_lim=(1, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plotting the Surface Densities\n", "\n", "The `plot()` is the main plotting tool to visualise the ASD after it has been computed. It can optionally overlay the $\\Sigma_a(a)$ profile if desired. Additionally, it optionally overlays a histogram showing how the $r$ grid points are distributed, which can be useful when grid refinement is used.\n", "\n", "Parameters include:\n", "\n", "| Parameter | Description |\n", "|-------------|-------------|\n", "| `a_vals` | Array of semi-major axis values at which to evaluate $\\Sigma(a)$. |\n", "| `plot_a` | If `True` (default), includes the $\\Sigma(a)$ profile in the plot. |\n", "| `x_lim` | Optional tuple specifying the x-axis limits for the plot. |\n", "| `y_lim` | Optional tuple specifying the y-axis limits for the plot. |\n", "| `save` | If `True`, saves the plot to disk. Requires `filename`. Default is `False`. |\n", "| `filename` | Name of the file to save the plot to. Required if `save=True`. |\n", "| `title` | Optional string to display as the plot title. |\n", "| `grid_hist` | If `True`, adds a histogram of the $r$ grid point distribution above the plot. Useful to check refinement behaviour. Default is `False`. |" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "asd.plot(a_vals = np.linspace(0.01, 7, 2000), plot_a = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting the Convolved Profile\n", "\n", "The `plot_convolution` method displays the azimuthally averaged surface density profile $\\bar\\Sigma(r)$ after applying a Gaussian convolution. This is useful for simulating instrumental resolution effects or smoothing out numerical artefacts. Optionally, the original (unconvolved) profile and the input semi-major axis profile $\\Sigma(a)$ can also be overlaid for comparison.\n", "\n", "This method uses the result of the last call to `convolve()`. If that has not been called yet, the user must specify `width` (the Gaussian kernel width) and optionally `M` (the number of uniform points used in convolution).\n", "\n", "#### Parameters\n", "\n", "| Parameter | Description |\n", "|-----------------------|-------------|\n", "| `width` | Optional float. The Gaussian kernel width used for smoothing (in the same units as $r$). Required if `convolve()` has not already been called. |\n", "| `M` | Optional int. Number of uniformly spaced points used for convolution when the $r$-grid is non-uniform. Required if `convolve()` has not already been called. |\n", "| `overlay_sigma_r` | If `True` (default), overlays the original $\\bar\\Sigma(r)$ profile for comparison. |\n", "| `overlay_sigma_a` | If `True`, overlays the semi-major axis profile $\\Sigma(a)$ (evaluated over the kernel domain). |\n", "| `x_lim` | Optional tuple specifying the x-axis limits. |\n", "| `y_lim` | Optional tuple specifying the y-axis limits. |\n", "| `save` | If `True`, saves the figure to disk. Requires `filename` to be set. |\n", "| `filename` | Optional string. Path to save the plot if `save=True`. |\n", "| `title` | Optional title for the figure. |" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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