Transformation from USNO u'g'r'i'z' to SDSS ugriz (at least for the DR&, there I got these transforms from)

USNO-to-sloan-transform-exploration.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "560a1623-297b-4dea-9e7e-45d2abb48462",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import sympy as sp\n",
    "\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "attachments": {
    "aa78edb7-2989-460e-a639-c86d09d7c491.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "321d730d-7441-4fcd-bb76-893f1632198f",
   "metadata": {},
   "source": [
    "# Magnitude transforms from Sloan 2.5m filters to u'g'r'i'z'\n",
    "\n",
    "The Sloan 2.5m filters are referred to either as filters without primes or as filters with the subscript `SDSS`.\n",
    "\n",
    "The transform between these two changes from DR to DR. \n",
    "\n",
    "For DR7 the relationship, from [the DR7 filter page](https://classic.sdss.org/dr7/algorithms/jeg_photometric_eq_dr1.php#usno2SDSS), that transform from the primed system to the 2.5m system is\n",
    "\n",
    "![Cursor_and_SDSS_Photometric_Equations.png](attachment:aa78edb7-2989-460e-a639-c86d09d7c491.png)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee1072c9-c4be-44c9-990c-b4e514263923",
   "metadata": {},
   "source": [
    "## Rewrite in matrix form\n",
    "\n",
    "We want the inverse transform, which will be easier to find if we write the forward transform in matrix form. The notation in the image above is a little cumbersome (especially the color \"zero points\") so we use this instead:\n",
    "\n",
    "+ Instead of `b25(u)` we use `b_u`, etc.\n",
    "+ Instead of `(u' - g')_zp` we use `zp_ug`, etc\n",
    "\n",
    "In this new notation the transforms are (dropping the offset terms that are all zero)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63e1e95d-4d23-4290-9dd1-517f8f06bd1c",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{eqnarray}\n",
    "u &= u' - b_u \\left[(u' - g') - zp_{ug}\\right]\\\\\n",
    "g &= g' - b_g \\left[(g' - r') - zp_{gr}\\right]\\\\\n",
    "r &= r' - b_r \\left[(r' - i') - zp_{ri}\\right]\\\\\n",
    "i &= i' - b_i \\left[(r' - i') - zp_{ri}\\right]\\\\\n",
    "z &= z' - b_z \\left[(i' - z') - zp_{iz}\\right].\n",
    "\\end{eqnarray}\n",
    "$$\n",
    "\n",
    "Note that the transform from $i'$ to $i$ uses the color $r' - i'$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c87d9393-939d-470e-a538-00c32b99f4d1",
   "metadata": {},
   "source": [
    "Expanding out the terms a bit sets us up for writing this as a matrix:\n",
    "\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "u &= (1 - b_u) u' + b_u g' + b_u zp_{ug}\\\\\n",
    "g &= (1 - b_g) g' + b_g r' + b_g zp_{gr}\\\\\n",
    "r &= (1 - b_r) r' + b_r i' + b_r zp_{ri}\\\\\n",
    "i &= (1 + b_i) i' - b_i r' + b_i zp_{ri}\\\\\n",
    "z &= (1 + b_z) z' - b_z i' + b_z zp_{iz}.\n",
    "\\end{eqnarray}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48e3d377-9135-4e11-9c6f-e032a0ad4eaf",
   "metadata": {},
   "source": [
    "Finally, if we define the vector $v'$ as\n",
    "\n",
    "$$\n",
    "\\begin{equation}\n",
    "v' = \n",
    "\\left(\n",
    "    \\begin{array}\n",
    "        \\\\ % No idea why I need this...\n",
    "        u' \\\\\n",
    "        g' \\\\\n",
    "        r' \\\\\n",
    "        i' \\\\\n",
    "        z' \\\\\n",
    "        1\n",
    "    \\end{array}\n",
    "\\right),\n",
    "\\end{equation}\n",
    "$$\n",
    "and define a vector $v$ in a similar way, then $v = T_7 v'$ if \n",
    "\n",
    "$$\n",
    "\\begin{equation}\n",
    "T_7 \\equiv\n",
    "\\left(\n",
    "    \\begin{array}\n",
    "        \\\\ % No idea why I need this...\n",
    "        1 - b_u &   b_u    &   0     &    0     &    0    & b_u zp_{ug} \\\\\n",
    "        0       & 1 - b_g  & b_g     &    0     &    0    & b_g zp_{gr} \\\\\n",
    "        0       &    0     & 1 - b_r &  b_r     &    0    & b_r zp_{ri} \\\\\n",
    "        0       &    0     &  -b_i   & 1 + b_i  &    0    & b_i zp_{ri} \\\\\n",
    "        0       &    0     &   0     &  -b_z    &  1 + bz & b_z zp_{iz} \\\\\n",
    "        0       &    0     &   0     &    0     &    0    &      1 \n",
    "    \\end{array}\n",
    "\\right).\n",
    "\\end{equation}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05e06961-6600-4f33-b7a2-ada6f8bca560",
   "metadata": {},
   "source": [
    "### Drop this into numpy and find the inverse\n",
    "\n",
    "First, define the constants."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "44ec03be-da61-4ae2-8d0d-39a5564234cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "b_u = 0\n",
    "b_g = -0.060\n",
    "b_r = -0.035\n",
    "b_i = -0.041\n",
    "b_z = 0.030\n",
    "\n",
    "zp_ug = 1.39\n",
    "zp_gr = 0.53\n",
    "zp_ri = 0.21\n",
    "zp_iz = 0.09"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "743ecd9b-d365-4fb5-be22-20574e5213aa",
   "metadata": {},
   "source": [
    "Now the matrix..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a24d3079-d62b-4bbf-bd5b-a1060969a117",
   "metadata": {},
   "outputs": [],
   "source": [
    "T_7 = np.array(\n",
    "    [\n",
    "        [1 - b_u,     b_u,       0,       0,       0, b_u * zp_ug],\n",
    "        [      0, 1 - b_g,     b_g,       0,       0, b_g * zp_gr],\n",
    "        [      0,       0, 1 - b_r,     b_r,       0, b_r * zp_ri],\n",
    "        [      0,       0,    -b_i, 1 + b_i,       0, b_i * zp_ri],\n",
    "        [      0,       0,       0,    -b_z, 1 + b_z, b_z * zp_iz],\n",
    "        [      0,       0,       0,       0,       0,           1]\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b45a22fe-a0f3-431b-b4ff-a9a21a42c3c9",
   "metadata": {},
   "source": [
    "...and the matrix as numbers. This was copy/pasted into stellarphot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b6d01abb-2acd-4bed-a1ff-ae5e005a804d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.     ,  0.     ,  0.     ,  0.     ,  0.     ,  0.     ],\n",
       "       [ 0.     ,  1.06   , -0.06   ,  0.     ,  0.     , -0.0318 ],\n",
       "       [ 0.     ,  0.     ,  1.035  , -0.035  ,  0.     , -0.00735],\n",
       "       [ 0.     ,  0.     ,  0.041  ,  0.959  ,  0.     , -0.00861],\n",
       "       [ 0.     ,  0.     ,  0.     , -0.03   ,  1.03   ,  0.0027 ],\n",
       "       [ 0.     ,  0.     ,  0.     ,  0.     ,  0.     ,  1.     ]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_7"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9880f205-ed63-42d0-9c7b-0d98465c678d",
   "metadata": {},
   "source": [
    "Check that the matrix is well-conditioned (i.e. nicely invertible) -- a condition of 1-ish means no loss of precision beyond numerical."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e42ceb56-b0d4-4c73-86fc-d013e133ea48",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(1.131734871981456)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linalg.cond(T_7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49bbc365-ad5d-40cf-8bf1-36774b64d6b2",
   "metadata": {},
   "source": [
    "### Calculate the inverse transform"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "252f919e-046a-4060-ad92-d5309e447dff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.          0.          0.          0.          0.          0.        ]\n",
      " [ 0.          0.94339623  0.05461068  0.00199309  0.          0.03041855]\n",
      " [ 0.          0.          0.96478873  0.03521127  0.          0.00739437]\n",
      " [ 0.          0.         -0.04124748  1.04124748  0.          0.00866197]\n",
      " [ 0.          0.         -0.00120138  0.0303276   0.97087379 -0.00236907]\n",
      " [ 0.          0.          0.          0.          0.          1.        ]]\n"
     ]
    }
   ],
   "source": [
    "T_7_inverse = np.linalg.inv(T_7)\n",
    "print(T_7_inverse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "27ef1452-3f3e-4b39-a443-ae5c8614182e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
       "         0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "       [ 0.00000000e+00,  1.00000000e+00,  0.00000000e+00,\n",
       "        -4.33680869e-19,  0.00000000e+00,  0.00000000e+00],\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  1.00000000e+00,\n",
       "         0.00000000e+00,  0.00000000e+00, -8.67361738e-19],\n",
       "       [ 0.00000000e+00,  0.00000000e+00, -6.93889390e-18,\n",
       "         1.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
       "         0.00000000e+00,  1.00000000e+00,  0.00000000e+00],\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
       "         0.00000000e+00,  0.00000000e+00,  1.00000000e+00]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_7 @ T_7_inverse"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21ed31c1-48a5-40f5-8a0b-0e260222b7a2",
   "metadata": {},
   "source": [
    "## Now try doing the inverse symbolically"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3eef69de-3273-4910-a2c6-a06b80d2406a",
   "metadata": {},
   "outputs": [],
   "source": [
    "sp.init_printing(use_unicode=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb3b13c3-f106-4fff-a7cb-0ed9ddf873ec",
   "metadata": {},
   "source": [
    "Define the symbols."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "913ba231-73c7-4db8-a75a-cf59b6b16782",
   "metadata": {},
   "outputs": [],
   "source": [
    "b_u, b_g, b_r, b_i, b_z, zp_ug, zp_gr, zp_ri, zp_iz = sp.symbols(\"b_u, b_g, b_r, b_i, b_z, zp_ug, zp_gr, zp_ri, zp_iz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7182331-c5af-4120-9321-599754baca5f",
   "metadata": {},
   "source": [
    "Now the matrix..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c2a23420-0a47-491f-a650-36ee6ca7ccbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 - b_{u} & b_{u} & 0 & 0 & 0 & b_{u} zp_{ug}\\\\0 & 1 - b_{g} & b_{g} & 0 & 0 & b_{g} zp_{gr}\\\\0 & 0 & 1 - b_{r} & b_{r} & 0 & b_{r} zp_{ri}\\\\0 & 0 & - b_{i} & b_{i} + 1 & 0 & b_{i} zp_{ri}\\\\0 & 0 & 0 & - b_{z} & b_{z} + 1 & b_{z} zp_{iz}\\\\0 & 0 & 0 & 0 & 0 & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1 - bᵤ    bᵤ       0       0        0     bᵤ⋅zp_ug ⎤\n",
       "⎢                                                   ⎥\n",
       "⎢  0     1 - b_g   b_g      0        0     b_g⋅zp_gr⎥\n",
       "⎢                                                   ⎥\n",
       "⎢  0        0     1 - bᵣ    bᵣ       0      bᵣ⋅zpᵣᵢ ⎥\n",
       "⎢                                                   ⎥\n",
       "⎢  0        0      -bᵢ    bᵢ + 1     0      bᵢ⋅zpᵣᵢ ⎥\n",
       "⎢                                                   ⎥\n",
       "⎢  0        0       0      -b_z   b_z + 1  b_z⋅zp_iz⎥\n",
       "⎢                                                   ⎥\n",
       "⎣  0        0       0       0        0         1    ⎦"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_7_symbolic = sp.Matrix(\n",
    "    [\n",
    "        [1 - b_u,     b_u,       0,       0,       0, b_u * zp_ug],\n",
    "        [      0, 1 - b_g,     b_g,       0,       0, b_g * zp_gr],\n",
    "        [      0,       0, 1 - b_r,     b_r,       0, b_r * zp_ri],\n",
    "        [      0,       0,    -b_i, 1 + b_i,       0, b_i * zp_ri],\n",
    "        [      0,       0,       0,    -b_z, 1 + b_z, b_z * zp_iz],\n",
    "        [      0,       0,       0,       0,       0,           1]\n",
    "    ]\n",
    ")\n",
    "T_7_symbolic"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eefeff0f-1824-407e-a944-ef718e50efe2",
   "metadata": {},
   "source": [
    "...and invert it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f737a9ca-84db-4e2d-901c-a067f8c003ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}- \\frac{1}{b_{u} - 1} & - \\frac{b_{u}}{b_{g} b_{u} - b_{g} - b_{u} + 1} & \\frac{b_{g} b_{i} b_{u} + b_{g} b_{u}}{b_{g} b_{i} b_{u} - b_{g} b_{i} - b_{g} b_{r} b_{u} + b_{g} b_{r} + b_{g} b_{u} - b_{g} - b_{i} b_{u} + b_{i} + b_{r} b_{u} - b_{r} - b_{u} + 1} & - \\frac{b_{g} b_{r} b_{u}}{b_{g} b_{i} b_{u} - b_{g} b_{i} - b_{g} b_{r} b_{u} + b_{g} b_{r} + b_{g} b_{u} - b_{g} - b_{i} b_{u} + b_{i} + b_{r} b_{u} - b_{r} - b_{u} + 1} & 0 & \\frac{b_{g} b_{i} b_{u} zp_{gr} + b_{g} b_{i} b_{u} zp_{ug} - b_{g} b_{r} b_{u} zp_{gr} - b_{g} b_{r} b_{u} zp_{ri} - b_{g} b_{r} b_{u} zp_{ug} + b_{g} b_{u} zp_{gr} + b_{g} b_{u} zp_{ug} - b_{i} b_{u} zp_{ug} + b_{r} b_{u} zp_{ug} - b_{u} zp_{ug}}{b_{g} b_{i} b_{u} - b_{g} b_{i} - b_{g} b_{r} b_{u} + b_{g} b_{r} + b_{g} b_{u} - b_{g} - b_{i} b_{u} + b_{i} + b_{r} b_{u} - b_{r} - b_{u} + 1}\\\\0 & - \\frac{1}{b_{g} - 1} & \\frac{b_{g} b_{i} + b_{g}}{b_{g} b_{i} - b_{g} b_{r} + b_{g} - b_{i} + b_{r} - 1} & - \\frac{b_{g} b_{r}}{b_{g} b_{i} - b_{g} b_{r} + b_{g} - b_{i} + b_{r} - 1} & 0 & \\frac{b_{g} b_{i} zp_{gr} - b_{g} b_{r} zp_{gr} - b_{g} b_{r} zp_{ri} + b_{g} zp_{gr}}{b_{g} b_{i} - b_{g} b_{r} + b_{g} - b_{i} + b_{r} - 1}\\\\0 & 0 & \\frac{b_{i} + 1}{b_{i} - b_{r} + 1} & - \\frac{b_{r}}{b_{i} - b_{r} + 1} & 0 & - \\frac{b_{r} zp_{ri}}{b_{i} - b_{r} + 1}\\\\0 & 0 & \\frac{b_{i}}{b_{i} - b_{r} + 1} & \\frac{1 - b_{r}}{b_{i} - b_{r} + 1} & 0 & - \\frac{b_{i} zp_{ri}}{b_{i} - b_{r} + 1}\\\\0 & 0 & \\frac{b_{i} b_{z}}{b_{i} b_{z} + b_{i} - b_{r} b_{z} - b_{r} + b_{z} + 1} & \\frac{- b_{r} b_{z} + b_{z}}{b_{i} b_{z} + b_{i} - b_{r} b_{z} - b_{r} + b_{z} + 1} & \\frac{1}{b_{z} + 1} & \\frac{- b_{i} b_{z} zp_{iz} - b_{i} b_{z} zp_{ri} + b_{r} b_{z} zp_{iz} - b_{z} zp_{iz}}{b_{i} b_{z} + b_{i} - b_{r} b_{z} - b_{r} + b_{z} + 1}\\\\0 & 0 & 0 & 0 & 0 & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡ -1             -bᵤ                                               b_g⋅bᵢ⋅bᵤ + ↪\n",
       "⎢──────  ─────────────────────  ────────────────────────────────────────────── ↪\n",
       "⎢bᵤ - 1  b_g⋅bᵤ - b_g - bᵤ + 1  b_g⋅bᵢ⋅bᵤ - b_g⋅bᵢ - b_g⋅bᵣ⋅bᵤ + b_g⋅bᵣ + b_g⋅ ↪\n",
       "⎢                                                                              ↪\n",
       "⎢                 -1                                                  b_g⋅bᵢ + ↪\n",
       "⎢  0            ───────                                    ─────────────────── ↪\n",
       "⎢               b_g - 1                                    b_g⋅bᵢ - b_g⋅bᵣ + b ↪\n",
       "⎢                                                                              ↪\n",
       "⎢                                                                        bᵢ +  ↪\n",
       "⎢  0               0                                                   ─────── ↪\n",
       "⎢                                                                      bᵢ - bᵣ ↪\n",
       "⎢                                                                              ↪\n",
       "⎢                                                                          bᵢ  ↪\n",
       "⎢  0               0                                                   ─────── ↪\n",
       "⎢                                                                      bᵢ - bᵣ ↪\n",
       "⎢                                                                              ↪\n",
       "⎢                                                                        bᵢ⋅b_ ↪\n",
       "⎢  0               0                                       ─────────────────── ↪\n",
       "⎢                                                          bᵢ⋅b_z + bᵢ - bᵣ⋅b_ ↪\n",
       "⎢                                                                              ↪\n",
       "⎣  0               0                                                        0  ↪\n",
       "\n",
       "↪  b_g⋅bᵤ                                                                      ↪\n",
       "↪ ───────────────────────────────────────────  ─────────────────────────────── ↪\n",
       "↪ bᵤ - b_g - bᵢ⋅bᵤ + bᵢ + bᵣ⋅bᵤ - bᵣ - bᵤ + 1  b_g⋅bᵢ⋅bᵤ - b_g⋅bᵢ - b_g⋅bᵣ⋅bᵤ  ↪\n",
       "↪                                                                              ↪\n",
       "↪  b_g                                                                         ↪\n",
       "↪ ────────────────                                                        ──── ↪\n",
       "↪ _g - bᵢ + bᵣ - 1                                                        b_g⋅ ↪\n",
       "↪                                                                              ↪\n",
       "↪ 1                                                                            ↪\n",
       "↪ ────                                                                         ↪\n",
       "↪  + 1                                                                         ↪\n",
       "↪                                                                              ↪\n",
       "↪                                                                              ↪\n",
       "↪ ────                                                                         ↪\n",
       "↪  + 1                                                                         ↪\n",
       "↪                                                                              ↪\n",
       "↪ z                                                                            ↪\n",
       "↪ ────────────────                                                        ──── ↪\n",
       "↪ z - bᵣ + b_z + 1                                                        bᵢ⋅b ↪\n",
       "↪                                                                              ↪\n",
       "↪                                                                              ↪\n",
       "\n",
       "↪         -b_g⋅bᵣ⋅bᵤ                                                   b_g⋅bᵢ⋅ ↪\n",
       "↪ ──────────────────────────────────────────────────────────     0     ─────── ↪\n",
       "↪ + b_g⋅bᵣ + b_g⋅bᵤ - b_g - bᵢ⋅bᵤ + bᵢ + bᵣ⋅bᵤ - bᵣ - bᵤ + 1                   ↪\n",
       "↪                                                                              ↪\n",
       "↪          -b_g⋅bᵣ                                                             ↪\n",
       "↪ ───────────────────────────────                                0             ↪\n",
       "↪ bᵢ - b_g⋅bᵣ + b_g - bᵢ + bᵣ - 1                                              ↪\n",
       "↪                                                                              ↪\n",
       "↪            -bᵣ                                                               ↪\n",
       "↪         ───────────                                            0             ↪\n",
       "↪         bᵢ - bᵣ + 1                                                          ↪\n",
       "↪                                                                              ↪\n",
       "↪           1 - bᵣ                                                             ↪\n",
       "↪         ───────────                                            0             ↪\n",
       "↪         bᵢ - bᵣ + 1                                                          ↪\n",
       "↪                                                                              ↪\n",
       "↪        -bᵣ⋅b_z + b_z                                           1             ↪\n",
       "↪ ───────────────────────────────                             ───────          ↪\n",
       "↪ _z + bᵢ - bᵣ⋅b_z - bᵣ + b_z + 1                             b_z + 1          ↪\n",
       "↪                                                                              ↪\n",
       "↪              0                                                 0             ↪\n",
       "\n",
       "↪ bᵤ⋅zp_gr + b_g⋅bᵢ⋅bᵤ⋅zp_ug - b_g⋅bᵣ⋅bᵤ⋅zp_gr - b_g⋅bᵣ⋅bᵤ⋅zpᵣᵢ - b_g⋅bᵣ⋅bᵤ⋅zp ↪\n",
       "↪ ──────────────────────────────────────────────────────────────────────────── ↪\n",
       "↪                           b_g⋅bᵢ⋅bᵤ - b_g⋅bᵢ - b_g⋅bᵣ⋅bᵤ + b_g⋅bᵣ + b_g⋅bᵤ - ↪\n",
       "↪                                                                              ↪\n",
       "↪                                             b_g⋅bᵢ⋅zp_gr - b_g⋅bᵣ⋅zp_gr - b_ ↪\n",
       "↪                                             ──────────────────────────────── ↪\n",
       "↪                                                      b_g⋅bᵢ - b_g⋅bᵣ + b_g - ↪\n",
       "↪                                                                              ↪\n",
       "↪                                                                   -bᵣ⋅zpᵣᵢ   ↪\n",
       "↪                                                                  ─────────── ↪\n",
       "↪                                                                  bᵢ - bᵣ + 1 ↪\n",
       "↪                                                                              ↪\n",
       "↪                                                                   -bᵢ⋅zpᵣᵢ   ↪\n",
       "↪                                                                  ─────────── ↪\n",
       "↪                                                                  bᵢ - bᵣ + 1 ↪\n",
       "↪                                                                              ↪\n",
       "↪                                            -bᵢ⋅b_z⋅zp_iz - bᵢ⋅b_z⋅zpᵣᵢ + bᵣ⋅ ↪\n",
       "↪                                            ───────────────────────────────── ↪\n",
       "↪                                                     bᵢ⋅b_z + bᵢ - bᵣ⋅b_z - b ↪\n",
       "↪                                                                              ↪\n",
       "↪                                                                       1      ↪\n",
       "\n",
       "↪ _ug + b_g⋅bᵤ⋅zp_gr + b_g⋅bᵤ⋅zp_ug - bᵢ⋅bᵤ⋅zp_ug + bᵣ⋅bᵤ⋅zp_ug - bᵤ⋅zp_ug⎤\n",
       "↪ ────────────────────────────────────────────────────────────────────────⎥\n",
       "↪  b_g - bᵢ⋅bᵤ + bᵢ + bᵣ⋅bᵤ - bᵣ - bᵤ + 1                                 ⎥\n",
       "↪                                                                         ⎥\n",
       "↪ g⋅bᵣ⋅zpᵣᵢ + b_g⋅zp_gr                                                   ⎥\n",
       "↪ ─────────────────────                                                   ⎥\n",
       "↪  bᵢ + bᵣ - 1                                                            ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎥\n",
       "↪ b_z⋅zp_iz - b_z⋅zp_iz                                                   ⎥\n",
       "↪ ─────────────────────                                                   ⎥\n",
       "↪ ᵣ + b_z + 1                                                             ⎥\n",
       "↪                                                                         ⎥\n",
       "↪                                                                         ⎦"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_7_inv_symbolic = T_7_symbolic ** -1\n",
    "T_7_inv_symbolic"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b2e2ccb-1ad7-4ed1-a66d-f314b3adf33d",
   "metadata": {},
   "source": [
    "Yuck! Tell sympy that $b_u$ is zero, see if that helps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b7bfc158-8cbf-4896-aeca-6f3cc1a906f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0 & 0 & 0 & 0 & 0 & 0\\\\0 & - \\frac{1}{b_{g} - 1.0} & \\frac{b_{g} b_{i} + b_{g}}{b_{g} b_{i} - b_{g} b_{r} + b_{g} - b_{i} + b_{r} - 1.0} & - \\frac{b_{g} b_{r}}{b_{g} b_{i} - b_{g} b_{r} + b_{g} - b_{i} + b_{r} - 1.0} & 0 & \\frac{b_{g} b_{i} zp_{gr} - b_{g} b_{r} zp_{gr} - b_{g} b_{r} zp_{ri} + b_{g} zp_{gr}}{b_{g} b_{i} - b_{g} b_{r} + b_{g} - b_{i} + b_{r} - 1.0}\\\\0 & 0 & \\frac{b_{i} + 1.0}{b_{i} - b_{r} + 1.0} & - \\frac{b_{r}}{b_{i} - b_{r} + 1.0} & 0 & - \\frac{b_{r} zp_{ri}}{b_{i} - b_{r} + 1.0}\\\\0 & 0 & \\frac{b_{i}}{b_{i} - b_{r} + 1.0} & \\frac{1.0 - b_{r}}{b_{i} - b_{r} + 1.0} & 0 & - \\frac{b_{i} zp_{ri}}{b_{i} - b_{r} + 1.0}\\\\0 & 0 & \\frac{b_{i} b_{z}}{b_{i} b_{z} + b_{i} - b_{r} b_{z} - b_{r} + b_{z} + 1.0} & \\frac{- b_{r} b_{z} + b_{z}}{b_{i} b_{z} + b_{i} - b_{r} b_{z} - b_{r} + b_{z} + 1.0} & \\frac{1}{b_{z} + 1.0} & \\frac{- b_{i} b_{z} zp_{iz} - b_{i} b_{z} zp_{ri} + b_{r} b_{z} zp_{iz} - b_{z} zp_{iz}}{b_{i} b_{z} + b_{i} - b_{r} b_{z} - b_{r} + b_{z} + 1.0}\\\\0 & 0 & 0 & 0 & 0 & 1.0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1.0      0                        0                                      0    ↪\n",
       "⎢                                                                              ↪\n",
       "⎢        -1                  b_g⋅bᵢ + b_g                             -b_g⋅bᵣ  ↪\n",
       "⎢ 0   ─────────  ─────────────────────────────────────  ────────────────────── ↪\n",
       "⎢     b_g - 1.0  b_g⋅bᵢ - b_g⋅bᵣ + b_g - bᵢ + bᵣ - 1.0  b_g⋅bᵢ - b_g⋅bᵣ + b_g  ↪\n",
       "⎢                                                                              ↪\n",
       "⎢                              bᵢ + 1.0                                 -bᵣ    ↪\n",
       "⎢ 0       0                  ─────────────                          ────────── ↪\n",
       "⎢                            bᵢ - bᵣ + 1.0                          bᵢ - bᵣ +  ↪\n",
       "⎢                                                                              ↪\n",
       "⎢                                 bᵢ                                  1.0 - bᵣ ↪\n",
       "⎢ 0       0                  ─────────────                          ────────── ↪\n",
       "⎢                            bᵢ - bᵣ + 1.0                          bᵢ - bᵣ +  ↪\n",
       "⎢                                                                              ↪\n",
       "⎢                               bᵢ⋅b_z                              -bᵣ⋅b_z +  ↪\n",
       "⎢ 0       0      ─────────────────────────────────────  ────────────────────── ↪\n",
       "⎢                bᵢ⋅b_z + bᵢ - bᵣ⋅b_z - bᵣ + b_z + 1.0  bᵢ⋅b_z + bᵢ - bᵣ⋅b_z - ↪\n",
       "⎢                                                                              ↪\n",
       "⎣ 0       0                        0                                      0    ↪\n",
       "\n",
       "↪                      0                                0                      ↪\n",
       "↪                                                                              ↪\n",
       "↪                             b_g⋅bᵢ⋅zp_gr - b_g⋅bᵣ⋅zp_gr - b_g⋅bᵣ⋅zpᵣᵢ + b_g⋅ ↪\n",
       "↪ ───────────────      0      ──────────────────────────────────────────────── ↪\n",
       "↪ - bᵢ + bᵣ - 1.0                     b_g⋅bᵢ - b_g⋅bᵣ + b_g - bᵢ + bᵣ - 1.0    ↪\n",
       "↪                                                                              ↪\n",
       "↪                                                   -bᵣ⋅zpᵣᵢ                   ↪\n",
       "↪ ───                  0                          ─────────────                ↪\n",
       "↪ 1.0                                             bᵢ - bᵣ + 1.0                ↪\n",
       "↪                                                                              ↪\n",
       "↪                                                   -bᵢ⋅zpᵣᵢ                   ↪\n",
       "↪ ───                  0                          ─────────────                ↪\n",
       "↪ 1.0                                             bᵢ - bᵣ + 1.0                ↪\n",
       "↪                                                                              ↪\n",
       "↪ b_z                  1      -bᵢ⋅b_z⋅zp_iz - bᵢ⋅b_z⋅zpᵣᵢ + bᵣ⋅b_z⋅zp_iz - b_z ↪\n",
       "↪ ───────────────  ─────────  ──────────────────────────────────────────────── ↪\n",
       "↪  bᵣ + b_z + 1.0  b_z + 1.0          bᵢ⋅b_z + bᵢ - bᵣ⋅b_z - bᵣ + b_z + 1.0    ↪\n",
       "↪                                                                              ↪\n",
       "↪                      0                               1.0                     ↪\n",
       "\n",
       "↪       ⎤\n",
       "↪       ⎥\n",
       "↪ zp_gr ⎥\n",
       "↪ ───── ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪ ⋅zp_iz⎥\n",
       "↪ ──────⎥\n",
       "↪       ⎥\n",
       "↪       ⎥\n",
       "↪       ⎦"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_7_inv_symbolic.evalf(subs={b_u: 0})"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8565bb19-76de-4951-80a3-1ae418e7c77c",
   "metadata": {},
   "source": [
    "This is still a little yuck, but some of it simplified. Note that $u = u'$ and that $1=1$ (as it should -- any other result would be bad!)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb8ccdef-266c-4a21-8ba7-cd64c09b18e3",
   "metadata": {},
   "source": [
    "One other check -- do we get the inverse numerically if substitute in all of the numerical values?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d8689bfa-4513-4c86-b87b-5f17e360e3d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0 & 0 & 0 & 0 & 0 & 0\\\\0 & 0.943396226415094 & 0.0546106829657188 & 0.00199309061918682 & 0 & 0.0304185490300292\\\\0 & 0 & 0.964788732394366 & 0.0352112676056338 & 0 & 0.0073943661971831\\\\0 & 0 & -0.0412474849094567 & 1.04124748490946 & 0 & 0.00866197183098592\\\\0 & 0 & -0.00120138305561524 & 0.0303275966478483 & 0.970873786407767 & -0.00236906878162177\\\\0 & 0 & 0 & 0 & 0 & 1.0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1.0          0                   0                     0                   0  ↪\n",
       "⎢                                                                              ↪\n",
       "⎢ 0   0.943396226415094   0.0546106829657188   0.00199309061918682          0  ↪\n",
       "⎢                                                                              ↪\n",
       "⎢ 0           0           0.964788732394366    0.0352112676056338           0  ↪\n",
       "⎢                                                                              ↪\n",
       "⎢ 0           0          -0.0412474849094567    1.04124748490946            0  ↪\n",
       "⎢                                                                              ↪\n",
       "⎢ 0           0          -0.00120138305561524  0.0303275966478483   0.97087378 ↪\n",
       "⎢                                                                              ↪\n",
       "⎣ 0           0                   0                     0                   0  ↪\n",
       "\n",
       "↪                   0          ⎤\n",
       "↪                              ⎥\n",
       "↪           0.0304185490300292 ⎥\n",
       "↪                              ⎥\n",
       "↪           0.0073943661971831 ⎥\n",
       "↪                              ⎥\n",
       "↪          0.00866197183098592 ⎥\n",
       "↪                              ⎥\n",
       "↪ 6407767  -0.00236906878162177⎥\n",
       "↪                              ⎥\n",
       "↪                  1.0         ⎦"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_7_inv_symbolic.evalf(\n",
    "    subs=dict(\n",
    "        b_u = 0,\n",
    "        b_g = -0.060,\n",
    "        b_r = -0.035,\n",
    "        b_i = -0.041,\n",
    "        b_z = 0.030,\n",
    "        zp_ug = 1.39,\n",
    "        zp_gr = 0.53,\n",
    "        zp_ri = 0.21,\n",
    "        zp_iz = 0.09,\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64688c4d-4340-442b-a8f7-254a436f99bc",
   "metadata": {},
   "source": [
    "Spot checks look good!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5d68055-0cac-4a16-9c33-fdffe9891626",
   "metadata": {},
   "source": [
    "## Magnitude difference between USNO u'g'r'i' and SDSS ugriz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "c69a98aa-41b5-4f65-b8a7-c418d51c7ca4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "color_values = np.linspace(-1, 2, num=100)\n",
    "\n",
    "color_zero_points = [zp_ug, zp_gr, zp_ri, zp_ri, zp_iz]  # Yes, zp_ri is used twice; r and i both use the same color.\n",
    "band_coeffs = [b_u, b_g, b_r, b_i, b_z]\n",
    "\n",
    "filts = [\"g\", \"r\", \"i\"]\n",
    "colors = [\"$g' - r'$\", \"$r' - i'$\", \"$r' - i'$\"]\n",
    "rows = [1, 2, 3]\n",
    "dummy = np.array([0, 0, 0, 0, 0, 0])\n",
    "for filt, color, row, color_zp, band_coeff in zip(filts, colors, rows, color_zero_points[1:4], band_coeffs[1:4]):\n",
    "    dummy_cop = dummy.copy()\n",
    "    dummy_cop[row] = 1\n",
    "    # The line below is not at all obvious, but I think it is correct. Maybe.\n",
    "    # Let's work it out:\n",
    "    #\n",
    "    # g - g' = -b_g g' + b_g r' + b_g zp_gr = -b_g (g' - r') + b_g zp_gr = -b_g((g' - r') - zp_gr)\n",
    "    # and siimilarly for other bands. The variable color is g'-r', etc\n",
    "    mag_diff = -band_coeff * (color_values - color_zp)\n",
    "    plt.plot(color_values, mag_diff, label=f\"${filt} - {filt}'$; color {color}\")\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel(\"color\")\n",
    "plt.ylabel(\"SDSS - primed\")\n",
    "plt.grid()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.13.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}