telsem.cc

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/* Copyright (C) 2017
   Oliver Lemke <olemke@core-dump.info>
   Simon Pfreundschuh <simon.pfreundschuh@chalmers.se>
 
   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.
 
   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.
 
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA.
*/
 
#include "telsem.h"
#include <cmath>
#include <utility>
#include "arts_constants.h"
#include "arts_conversions.h"
#include "check_input.h"
#include "geodetic.h"
 
inline constexpr Numeric EARTH_RADIUS=Constant::earth_radius;
inline constexpr Numeric DEG2RAD=Conversion::deg2rad(1);
inline constexpr Numeric PI=Constant::pi;
 
// TelsemAtlas Class
 
TelsemAtlas::TelsemAtlas(String filename) {
  std::ifstream ifs(filename, std::ifstream::in);
  read(ifs);
}
 
void TelsemAtlas::read(std::istream& is) {
  name = "ssmi_mean_emis_climato";
  nchan = 7;
  dlat = 0.25;
  is >> ndat;
  emis.resize(ndat, nchan);
  emis = NAN;
  emis_err.resize(ndat, nchan);
  emis_err = NAN;
  classes1.resize(ndat);
  classes1 = -1;
  classes2.resize(ndat);
  classes2 = -1;
  cellnums.resize(ndat);
  cellnums = -1;
 
  equare();
 
  Index cellnum;
  Index class1;
  Index class2;
  Vector ssmi(2 * nchan);
  Index ipos = -1;
  for (Index j = 0; j < ndat; j++) {
    is >> cellnum;
    ARTS_USER_ERROR_IF (is.fail(), "Error reading cellnum.");
    for (Index nssmi = 0; nssmi < 2 * nchan; nssmi++) {
      is >> double_imanip() >> ssmi[nssmi];
      ARTS_USER_ERROR_IF (is.fail(), "Error reading emissivity.");
    }
 
    is >> class1 >> class2;
    ARTS_USER_ERROR_IF (is.fail(), "Error reading classes.");
    if (class1 > 0 && class2 > 0 && ipos < ndat) {
      ipos++;
      for (Index i = 0; i < nchan; i++) {
        emis(ipos, i) = ssmi[i];
        emis_err(ipos, i) = std::sqrt(ssmi[nchan + i]);
      }
      cellnums[ipos] = cellnum;
      classes1[ipos] = class1;
      classes2[ipos] = class2;
    }
  }
  telsem_calc_correspondence();
}
 
void TelsemAtlas::equare() {
  Index maxlat = static_cast<Index>(180.0 / dlat);
 
  ncells.resize(maxlat);
  firstcells.resize(maxlat);
 
  // Total number of cells.
  //Index totcel = 0.0;
 
  Numeric rcelat = dlat * PI / 180.0;
 
  Numeric hezon = EARTH_RADIUS * sin(rcelat);
  Numeric aezon = 2.0 * PI * EARTH_RADIUS * hezon;
  Numeric aecell = aezon * dlat / 360.0;
 
  for (Index i = 0; i < maxlat / 2; ++i) {
    Numeric xlatb = static_cast<Numeric>(i) * dlat;
    Numeric xlate = xlatb + dlat;
    Numeric rlatb = DEG2RAD * xlatb;
    Numeric rlate = DEG2RAD * xlate;
    Numeric htb = EARTH_RADIUS * sin(rlatb);
    Numeric hte = EARTH_RADIUS * sin(rlate);
    Numeric htzone = hte - htb;
    Numeric azone = 2.0 * PI * EARTH_RADIUS * htzone;
    Numeric rcells = azone / aecell;
    Index icellr = static_cast<Index>(rcells + 0.5);
 
    //totcel += 2 * icellr;
 
    Index lat1 = i + maxlat / 2;
    Index lat2 = maxlat / 2 - 1 - i;
    ncells[lat1] = icellr;
    ncells[lat2] = icellr;
  }
 
  firstcells[0] = 0;
  for (Index i = 1; i < maxlat; ++i) {
    firstcells[i] = firstcells[i - 1] + ncells[i];
  }
}
 
void TelsemAtlas::telsem_calc_correspondence() {
  correspondence.resize(660066);
  correspondence = -1;
  for (Index j = 0; j < ndat; j++) {
    correspondence[cellnums[j]] = j;
  }
}
 
Index TelsemAtlas::calc_cellnum(Numeric lat, Numeric lon) const {
  ARTS_USER_ERROR_IF ((lat < -90.0) || (lat > 90.0),
        "Latitude input must be within the range [-90.0, 90.0].");
 
  ARTS_USER_ERROR_IF ((lon < 0.0) || (lon > 360.0),
        "Longitude input must be within the range [0.0, 360.0].");
 
  // Avoid corner cases that hit the outermost edge of the atlas cells.
  if (lat == 90.0) {
    lat -= 0.125;
  }
 
  if (lon == 360.0) {
    lat -= 0.125;
  }
 
  Index cellnum = 0;
  Index ilat = static_cast<Index>((lat + 90.0) / dlat);
  Index ilon =
      static_cast<Index>(lon / (360.0 / static_cast<Numeric>(ncells[ilat]))) +
      1;
  for (Index i = 0; i < ilat; ++i) {
    cellnum += ncells[i];
  }
  cellnum += ilon;
  return cellnum;
}
 
Index TelsemAtlas::calc_cellnum_nearest_neighbor(Numeric lat,
                                                 Numeric lon) const {
  Index cellnum = calc_cellnum(lat, lon);
  if (contains(cellnum)) {
    return cellnum;
  }
 
  Numeric di = 1.0;
 
  while (true) {
    Numeric lat_new, lon_new;
 
    for (Numeric i = -di; i < di; i += 1.0) {
      lat_new = lat + i * dlat;
      lon_new = lon - di * dlat;
      cycle_lat_lon(lat_new, lon_new);
      cellnum = calc_cellnum(lat_new, lon_new);
      if (contains(cellnum)) {
        return cellnum;
      }
    }
 
    for (Numeric i = -di; i < di; i += 1.0) {
      lat_new = lat + i * dlat;
      lon_new = lon + di * dlat;
      cycle_lat_lon(lat_new, lon_new);
      cellnum = calc_cellnum(lat_new, lon_new);
      if (contains(cellnum)) {
        return cellnum;
      }
    }
 
    for (Numeric i = -di; i < di; i += 1.0) {
      lat_new = lat - di * dlat;
      lon_new = lon + i * dlat;
      cycle_lat_lon(lat_new, lon_new);
      cellnum = calc_cellnum(lat_new, lon_new);
      if (contains(cellnum)) {
        return cellnum;
      }
    }
 
    for (Numeric i = -di; i < di; i += 1.0) {
      lat_new = lat + di * dlat;
      lon_new = lon + i * dlat;
      cycle_lat_lon(lat_new, lon_new);
      cellnum = calc_cellnum(lat_new, lon_new);
      if (contains(cellnum)) {
        return cellnum;
      }
    }
    di += 1.0;
  }
}
 
std::pair<Numeric, Numeric> TelsemAtlas::get_coordinates(Index cellnum) const {
  Index index_lat_max = static_cast<Index>(180.0 / dlat);
  Index index_lat = -1;
  Index index_lon = -1;
  if (cellnum >= firstcells[index_lat_max - 1]) {
    index_lat = index_lat_max;
    index_lon = cellnum - firstcells[index_lat_max];
  } else {
    for (Index i = 0; i < index_lat_max; ++i) {
      if ((cellnum >= firstcells[i]) && (cellnum < firstcells[i + 1])) {
        index_lat = i;
        index_lon = cellnum - firstcells[i];
      }
    }
  }
  Numeric lat = (static_cast<Numeric>(index_lat) - 0.5) * dlat - 90.0;
  Numeric lon = (static_cast<Numeric>(index_lon) - 0.5) *
                (360.0 / static_cast<Numeric>(ncells[index_lat]));
  return std::make_pair(lat, lon);
}
 
Numeric TelsemAtlas::interp_freq2(Numeric emiss19,
                                  Numeric emiss37,
                                  Numeric emiss85,
                                  Numeric f,
                                  Index class2) const {
  Numeric emiss = 0.0;
  if (f <= 19.35) {
    emiss = emiss19;
  } else if ((19.35 < f) && (f <= 37.0)) {
    const Numeric a = (37.0 - f) / (37.0 - 19.35);
    const Numeric b = (f - 19.35) / (37.0 - 19.35);
    emiss = a * emiss19 + b * emiss37;
  } else if ((f > 37.0) && (f < 85.5)) {
    const Numeric b = (85.5 - f) / (85.5 - 37.0);
    const Numeric c = (f - 37.0) / (85.5 - 37.0);
    emiss = b * emiss37 + c * emiss85;
  } else if (85.5 <= f) {
    emiss = emiss85;
    if ((class2 > 9) && (class2 < 14) && (emiss85 > emiss37)) {
      if (f <= 150.0) {
        emiss = emiss85 + (f - 85.5) * (emiss85 - emiss37) / (85.5 - 37.0) *
                              rapport43_32[class2 - 10];
      } else if ((f > 150.0) && (f <= 190.0)) {
        emiss = emiss85 + (150.0 - 85.5) * (emiss85 - emiss37) / (85.5 - 37.0) *
                              rapport43_32[class2 - 10];
        emiss += (f - 150.0) * (emiss - emiss85) / (150.0 - 85.5) *
                 rapport54_43[class2 - 10];
      } else if (f > 190.0) {
        emiss = emiss85 + (150.0 - 85.5) * (emiss85 - emiss37) / (85.5 - 37.0) *
                              rapport43_32[class2 - 10];
        emiss += (190.0 - 150.0) * (emiss - emiss85) / (150.0 - 85.5) *
                 rapport54_43[class2 - 10];
      }
      if (emiss > 1.0) {
        emiss = 1.0;
      }
    }
  }
  return emiss;
}
 
std::pair<Numeric, Numeric> TelsemAtlas::emis_interp(
    Numeric theta,
    Numeric freq,
    Index class1,
    Index class2,
    const ConstVectorView& ev,
    const ConstVectorView& eh) const {
  Vector emiss_scal_h(3);
  Vector emiss_scal_v(3);
 
  for (Index i = 0; i < 3; ++i) {
    Numeric e0 = a0_k0[i + (class1 - 1) * 3] +
                 a0_k1[i + (class1 - 1) * 3] * ev[i] +
                 a0_k2[i + (class1 - 1) * 3] * eh[i];
 
    Numeric a0 = a0_eveh[i + (class1 - 1) * 3];
    Numeric a1 = a1_eveh[i + (class1 - 1) * 3];
    Numeric a2 = a2_eveh[i + (class1 - 1) * 3];
    Numeric a3 = a3_eveh[i + (class1 - 1) * 3];
    Numeric b0 = b0_eveh[i + (class1 - 1) * 3];
    Numeric b1 = b1_eveh[i + (class1 - 1) * 3];
    Numeric b2 = b2_eveh[i + (class1 - 1) * 3];
    Numeric b3 = b3_eveh[i + (class1 - 1) * 3];
 
    Numeric s1_v = (theta - 53.0) / -53.0 * (e0 - a0) / a0;
    Numeric em53_v = a3 * pow(53.0, 3.0) + a2 * pow(53.0, 2.0) + a1 * 53.0 + a0;
    Numeric s2_v = theta / 53.0 * (ev[i] - em53_v) / em53_v;
    Numeric s_v = 1.0 + s1_v + s2_v;
 
    Numeric emtheta_v =
        a3 * pow(theta, 3) + a2 * pow(theta, 2) + a1 * theta + a0;
    emiss_scal_v[i] = s_v * emtheta_v;
 
    Numeric s1_h = (theta - 53.0) / -53.0 * (e0 - b0) / b0;
    Numeric em53_h = b3 * pow(53.0, 3.0) + b2 * pow(53.0, 2.0) + b1 * 53.0 + b0;
    Numeric s2_h = theta / 53.0 * (eh[i] - em53_h) / em53_h;
    Numeric s_h = 1.0 + s1_h + s2_h;
 
    Numeric emtheta_h =
        b3 * pow(theta, 3) + b2 * pow(theta, 2) + b1 * theta + b0;
    emiss_scal_h[i] = s_h * emtheta_h;
  }
 
  Numeric emiss_h = interp_freq2(
      emiss_scal_h[0], emiss_scal_h[1], emiss_scal_h[2], freq, class2);
  Numeric emiss_v = interp_freq2(
      emiss_scal_v[0], emiss_scal_v[1], emiss_scal_v[2], freq, class2);
 
  if (emiss_v < emiss_h) {
    emiss_v = 0.5 * (emiss_v + emiss_h);
    emiss_h = emiss_v;
  }
  return std::make_pair(emiss_v, emiss_h);
}
 
std::ostream& operator<<(std::ostream& os, const TelsemAtlas& ta) {
  os << ta.name << std::endl;
  return os;
}
 
// Regression Coefficients
 
const std::array<Numeric, 30> TelsemAtlas::a0_k0 = {
    0.11509,   0.091535, 0.34796,   0.10525,  0.16627,  0.24434,
    0.29217,   0.23809,  0.28954,   0.17516,  0.19459,  0.28697,
    0.10521,   0.12126,  0.30278,   0.18212,  0.19625,  0.14551,
    -0.19202,  0.5411,   0.03739,   0.10292,  0.5486,   -0.058937,
    -0.022672, 0.44492,  -0.058448, -0.33894, -0.17621, 0.14742};
 
const std::array<Numeric, 30> TelsemAtlas::a0_k1 = {
    0.61168, 0.59095,  0.7918, 0.60271, 0.69213, 0.62218, 0.32728, 0.34334,
    0.37062, 0.51217,  0.4491, 0.50101, 0.48913, 0.41932, 0.29734, 0.64474,
    0.30637, 0.031107, 1.0405, 0.17538, 1.3215,  0.61819, 0.31298, 1.7218,
    0.87761, 0.47583,  1.2583, 1.0959,  0.92842, 0.51033};
 
const std::array<Numeric, 30> TelsemAtlas::a0_k2 = {
    0.26726, 0.32033,  -0.14778, 0.28547, 0.13592,  0.13193, 0.37178, 0.41813,
    0.33875, 0.30203,  0.35479,  0.20189, 0.40663,  0.47493, 0.40668, 0.14811,
    0.52382, 0.86634,  0.14286,  0.27164, -0.37947, 0.2737,  0.12001, -0.67315,
    0.13492, 0.065463, -0.19316, 0.24905, 0.25475,  0.34637};
 
const std::array<Numeric, 30> TelsemAtlas::a0_eveh = {
    0.9592599869E+00, 0.9565299749E+00, 0.9511899948E+00, 0.9560700059E+00,
    0.9541199803E+00, 0.9483199716E+00, 0.9461100101E+00, 0.9439799786E+00,
    0.9387800097E+00, 0.9317600131E+00, 0.9289000034E+00, 0.9236800075E+00,
    0.9208700061E+00, 0.9190599918E+00, 0.9105200171E+00, 0.9162799716E+00,
    0.8937299848E+00, 0.8014699817E+00, 0.9570500255E+00, 0.9213600159E+00,
    0.7893999815E+00, 0.9639400244E+00, 0.9530599713E+00, 0.8850200176E+00,
    0.9685299993E+00, 0.9622600079E+00, 0.9118800163E+00, 0.8997200131E+00,
    0.9012699723E+00, 0.9107499719E+00};
 
const std::array<Numeric, 30> TelsemAtlas::a1_eveh = {
    0.3627802414E-07, -0.7778328204E-08, 0.4396108011E-07,  0.2503205394E-06,
    0.1996262995E-06, 0.2929977541E-06,  0.4190530660E-06,  0.3655744649E-06,
    0.3519195673E-06, 0.5574374313E-06,  0.5273076340E-06,  0.5376484182E-06,
    0.1026844529E-05, 0.9679998811E-06,  0.8616486866E-06,  0.3180800832E-06,
    0.2886778532E-06, 0.2310362675E-06,  -0.1118036366E-06, -0.1502856577E-06,
    0.4842232926E-07, -0.8410978580E-08, -0.3478669441E-07, 0.2209441590E-06,
    0.2485776633E-06, 0.1800235907E-06,  0.2510202251E-06,  0.2687000915E-06,
    0.1740325644E-06, 0.3562134339E-06};
 
const std::array<Numeric, 30> TelsemAtlas::a2_eveh = {
    0.3067140824E-05, 0.2520012231E-05, 0.4831396382E-05, 0.8213598448E-05,
    0.7378375358E-05, 0.1022081960E-04, 0.1225889173E-04, 0.1165553113E-04,
    0.1188659007E-04, 0.1693615741E-04, 0.1648317448E-04, 0.1715818144E-04,
    0.2744720041E-04, 0.2642072104E-04, 0.2671847506E-04, 0.1349592094E-04,
    0.1261523357E-04, 0.5447756394E-05, 0.2064244654E-05, 0.1919016057E-06,
    0.5940860319E-06, 0.5334760772E-05, 0.4130339221E-05, 0.4104662821E-05,
    0.6530796327E-05, 0.5727014013E-05, 0.7451782039E-05, 0.1071246970E-04,
    0.9539280654E-05, 0.1034286015E-04};
 
const std::array<Numeric, 30> TelsemAtlas::a3_eveh = {
    -0.2004991551E-07, -0.6895366056E-07, -0.2047409282E-06, -0.7322448425E-07,
    -0.1273002681E-06, -0.2729916844E-06, -0.9421125213E-07, -0.1683332300E-06,
    -0.2726891637E-06, -0.1317753799E-06, -0.2107972250E-06, -0.3556060904E-06,
    -0.1889465580E-06, -0.2757958271E-06, -0.4909850304E-06, 0.7339644004E-08,
    -0.4058669560E-06, -0.4146343997E-06, 0.6170279931E-07,  -0.1998567996E-06,
    -0.4713119139E-07, -0.1361754887E-07, -0.1765622955E-06, -0.2348146637E-06,
    -0.3901189061E-07, -0.1305666189E-06, -0.1533838798E-06, -.2679148992E-07,
    -0.4441960044E-07, -0.1815613899E-06};
 
const std::array<Numeric, 30> TelsemAtlas::b0_eveh = {
    0.9592599869E+00, 0.9565299749E+00, 0.9511899948E+00, 0.9560700059E+00,
    0.9541199803E+00, 0.9483199716E+00, 0.9461100101E+00, 0.9439799786E+00,
    0.9387800097E+00, 0.9317600131E+00, 0.9289000034E+00, 0.9236800075E+00,
    0.9208700061E+00, 0.9190599918E+00, 0.9105200171E+00, 0.9162799716E+00,
    0.8937299848E+00, 0.8014699817E+00, 0.9570500255E+00, 0.9213600159E+00,
    0.7893999815E+00, 0.9639400244E+00, 0.9530599713E+00, 0.8850200176E+00,
    0.9685299993E+00, 0.9622600079E+00, 0.9118800163E+00, 0.8997200131E+00,
    0.9012699723E+00, 0.9107499719E+00};
 
const std::array<Numeric, 30> TelsemAtlas::b1_eveh = {
    0.3626608347E-07, -0.7786279177E-08, 0.4393379172E-07,  0.2502746099E-06,
    0.1995944388E-06, 0.2929554341E-06,  0.4189516289E-06,  0.3655020180E-06,
    0.3518483140E-06, 0.5572838404E-06,  0.5271903092E-06,  0.5375342766E-06,
    0.1026605219E-05, 0.9677979733E-06,  0.8614680951E-06,  0.3179358714E-06,
    0.2884899004E-06, 0.2308632219E-06,  -0.1118781370E-06, -0.1503948681E-06,
    0.4834672396E-07, -0.8455684153E-08, -0.3485171618E-07, 0.2208606134E-06,
    0.2485595019E-06, 0.1799959364E-06,  0.2509846695E-06,  0.2686167306E-06,
    0.1739760478E-06, 0.3561317214E-06};
 
const std::array<Numeric, 30> TelsemAtlas::b2_eveh = {
    0.3065537157E-05, 0.2518960400E-05, 0.4829731552E-05, 0.8209894986E-05,
    0.7375769655E-05, 0.1021809931E-04, 0.1225203869E-04, 0.1165053800E-04,
    0.1188218721E-04, 0.1692612022E-04, 0.1647546378E-04, 0.1715117833E-04,
    0.2743142431E-04, 0.2640772436E-04, 0.2670711910E-04, 0.1348545720E-04,
    0.1260529825E-04, 0.5439695997E-05, 0.2058213340E-05, 0.1860650656E-06,
    0.5898303925E-06, 0.5330772183E-05, 0.4126528893E-05, 0.4100859314E-05,
    0.6528573977E-05, 0.5725009032E-05, 0.7449450095E-05, 0.1070590315E-04,
    0.9534271157E-05, 0.1033751869E-04};
 
const std::array<Numeric, 30> TelsemAtlas::b3_eveh = {
    -0.1370247134E-06, -0.1436897747E-06, -0.2954870411E-06, -0.3118435643E-06,
    -0.2916583242E-06, -0.4311032171E-06, -0.5048401022E-06, -0.4662823869E-06,
    -0.5206445053E-06, -0.7210980471E-06, -0.6662896794E-06, -0.7548637200E-06,
    -0.1110204039E-05, -0.1030801400E-05, -0.1140921199E-05, -0.6330818110E-06,
    -0.9186441048E-06, -0.7947813856E-06, -0.3242539890E-06, -0.5027602583E-06,
    -0.2777987334E-06, -0.2747250676E-06, -0.3811997260E-06, -0.4102405455E-06,
    -0.1994112324E-06, -0.2555484855E-06, -0.2842682534E-06, -0.4413041665E-06,
    -0.3717419474E-06, -0.4975536854E-06};
 
const std::array<Numeric, 4> TelsemAtlas::rapport43_32 = {
    0.62, 0.37, 0.46, 0.63};
const std::array<Numeric, 4> TelsemAtlas::rapport54_43 = {
    0.30, 0.60, 0.47, 0.35};