Devel

EXPtools/utils/indexing.py

@@ -0,0 +1,80 @@
+"""
+This module provides functions to work with index-based calculations for spherical harmonics coef series.
+"""
+import numpy as np, math
+
+def total_terms(l_max):
+    """
+    Calculate the total number of terms up to a given maximum angular number.
+
+    Parameters:
+        l_max (int): The maximum angular quantum number.
+
+    Returns:
+        float: The total number of terms.
+    """
+    return l_max * (l_max + 1) / 2 + l_max + 1  # Sigma(lmax+1) + 1 (the extra one for the 0th term)
+
+def I(l, m):
+    """
+    Calculate the index of a spherical harmonic element given the angular numbers l and m .
+
+    Parameters:
+        l (int): The angular number.
+        m (int): The magnetic quantum number, ranging from 0 to l.
+
+    Returns:
+        int: The index corresponding to the specified angular numbers.
+    """
+    import math
+    assert isinstance(l, int) and isinstance(m, int), "l and m must be integers"
+    assert l >= 0, "l must be greater than 0"
+    assert abs(m) <= l, "m must be less than or equal to l"
+    return int(l * (l + 1) / 2) + abs(m)
+
+def inverse_I(I):
+    """
+    Calculate the angular numbers l and m given the index of a spherical harmonic element.
+
+    Parameters:
+        I (int): The index of the spherical harmonic element.
+
+    Returns:
+        tuple: A tuple containing the angular numbers (l, m).
+    """
+    import math
+    assert isinstance(I, int) and I >=0, "I must be an interger greater than or equal to 0"
+    l = math.floor((-1 + math.sqrt(1 + 8 * I)) / 2)  # Calculate l using the inverse of the formula
+    m = I - int(l * (l + 1) / 2)  # Calculate m using the given formula
+    return l, m
+
+def set_specific_lm_non_zero(data, lm_pairs_to_set):
+    """
+    Sets specific (l, m) pairs in the input data to non-zero values.
+
+    Parameters:
+        data (np.ndarray): Input data, an array of complex numbers.
+        lm_pairs_to_set (list): List of tuples representing (l, m) pairs to set to non-zero.
+
+    Returns:
+        np.ndarray: An array with selected (l, m) pairs set to non-zero values.
+
+    Raises:
+        ValueError: If any of the provided (l, m) pairs are out of bounds for the input data.
+    """
+    assert isinstance(lm_pairs_to_set, list), "lm_pairs_to_set must be a list"
+    for pair in lm_pairs_to_set:
+        assert isinstance(pair, tuple), "Each element in lm_pairs_to_set must be a tuple"
+        assert len(pair) == 2, "Each tuple in lm_pairs_to_set must contain two elements"
+        assert all(isinstance(x, int) for x in pair), "Each element in each tuple must be an integer"
+
+    # Get a zeros array of the same shape as the input data
+    arr_filt = np.zeros(data.shape, dtype=complex)
+
+    # Check if the provided (l, m) pairs are within the valid range
+    for l, m in lm_pairs_to_set:
+        if l < 0 or l >= data.shape[0] or m < 0 or m > l:
+            raise ValueError(f"Invalid (l, m) pair: ({l}, {m}). Out of bounds for the input data shape.")
+        arr_filt[I(l, m), :, :] = data[I(l, m), :, :] 
+
+    return arr_filt

EXPtools/visuals/visualize.py

@@ -1,7 +1,8 @@
-import os,  sys, pickle, pyEXP
+import os, sys, pickle, pyEXP
 import numpy as np
 import matplotlib.pyplot as plt
 
+def make_basis_plot(basis, rvals, basis_props,  **kwargs):
 def make_basis_plot(basis, lmax=6, nmax=20,
                     savefile=None, nsnap='mean', y=0.92, dpi=200,
                     lrmin=0.5, lrmax=2.7, rnum=100):
@@ -24,16 +25,27 @@ def make_basis_plot(basis, lmax=6, nmax=20,
     tuple: A tuple containing fig and ax.
 
     """
+    # Set up grid for plotting potential
+
+    lrmin = basis_props['rmin']
+    lrmax = basis_props['rmax']
+    rnum = basis_props['nbins']
+    lmax = basis_props['lmax'] 
+    nmax = basis_props['nmax'] 
+
     halo_grid = basis.getBasis(lrmin, lrmax, rnum)
-    r = np.linspace(lrmin, lrmax, rnum)
-    r = np.power(10.0, r)
+
+    # Create subplots and plot potential for each l and n 
+
+    ncols = (lmax-1)//5 + 1
 
     # Create subplots and plot potential for each l and n
     fig, ax = plt.subplots(lmax, 1, figsize=(10, 3*lmax), dpi=dpi,
                            sharex='col', sharey='row')
     plt.subplots_adjust(wspace=0, hspace=0)
-    ax = ax.flatten()
 
+    ax = ax.flatten()
+
     for l in range(lmax):
         ax[l].set_title(f"$\ell = {l}$", y=0.8, fontsize=16)  
         for n in range(nmax):
@@ -174,11 +186,7 @@ def make_grid(gridtype, gridspecs, rgrid, representation='cartesian'):
 
     else:
         print('gridtype {} not implemented'.format(gridtype))  
-
-
-
-
-
+
 
 def return_fields_in_grid(basis, coefficients, times=[0], 
                        projection='3D', proj_plane=0,