import math

# author: Jaakko Visuri
# contact: jaakko.visuri@ursa.fi
# last update: 2026-01-18
# cite: Visuri et al (2026). MNRAS, xxxx, xx-xx
# char-encoding by default: UTF-8


# --- Global Data Placeholders ---
# ISA-arrays and object
ISA = {}
isaheight = list(range(0, 86000, 2))
isapress = 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isatemp = 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Rearth_m = 6378140
Oalt = []      # List of observed altitudes
Opress = []
Otemp = []

# --- Shortcut / Helper Functions ---


# #######################
# SHORTCUT-FUNCTIONS
# #######################

def round2(x):
    if x % 2 > 1:
        return math.ceil(x / 2) * 2
    else:
        return math.floor(x / 2) * 2

def cos(arg):
    return math.cos(arg)

def sin(arg):
    return math.sin(arg)

def tan(arg):
    return math.tan(arg)

def atan(arg):
    return math.atan(arg)

def rad(arg):
    arg = float(arg)
    res = 0.5 * math.pi * arg / 90.0
    return res

def deg(arg):
    arg = float(arg)
    res = arg * 90.0 / (math.pi * 0.5)
    return res

def round_num(number, accuracy):
    decims = signif_decims(accuracy)
    times = (number / accuracy)
    frac = (number / accuracy) % 1.0
    inte = times - frac
    add = round(frac) # Python's built-in round
    result = float(f"{((inte + add) * accuracy):.{decims}f}")
    return result

def signif_decims(number):
    s = str(number)
    if '.' not in s:
        s = s + '.'
    par = s.split(".")[1]
    decims = len(par)
    return decims

# #######################
# FUNCTIONS 
# #######################

# For resetting the ISA object. Not used by default
def page_load():
    php_read_isa()

# Generates object from the arrays
def php_read_isa():
    # Note: This iterates over dictionary keys in Python
    # Assuming isaheight is populated
    for i in isaheight:
        sub = {
            'height': isaheight[i],
            'temp': isatemp[i],
            'press': isapress[i],
        }
        ISA[isaheight[i]] = sub

# Function to replace ISA-object with observed atmospheric condition.
def implement_odata():
    global ISA, isatemp, isapress, isaheight
    
    if not Oalt:
        return

    oind = 0
    # Range in python is start, stop, step
    limit = Oalt[-1] + 100
    
    for hei in range(0, limit, 2):
        # CHECK OIND = The index of the highest altitude with measured values.
        if oind < (len(Oalt) - 1):
            if hei >= Oalt[oind + 1]:
                oind += 1
        
        # SETTING ATMOSPHERIC PARAMETERS
        
        # LOWEST SECTION WITHOUT VALUES
        if hei <= Oalt[0]:
            ISA[hei] = {
                'height': hei,
                'press': Opress[0] * 100,
                'temp': Otemp[0],
            }
            # Using int for dictionary keys
            idx = int(hei / 2)
            isatemp[idx] = Otemp[0] + 0.013 * ((Oalt[0]) - hei) / 2
            isapress[idx] = Opress[0] * 100 + 24 * ((Oalt[0]) - hei) / 2
            
        # THE SECTION WITH OBSERVED/MEASURED VALUES    
        elif (hei >= Oalt[oind]) and (hei < Oalt[oind+1]) and (oind < (len(Oalt) - 1)):
            dh = Oalt[oind+1] - Oalt[oind]
            deltah = (hei - Oalt[oind]) / dh
            
            p_val = Opress[oind]*100 + (Opress[oind+1]-Opress[oind])*deltah*100
            t_val = Otemp[oind] + (Otemp[oind+1]-Otemp[oind])*deltah
            
            ISA[hei] = {
                'height': hei,
                'press': p_val,
                'temp': t_val,
            }
            
            idx = int(hei / 2)
            isaheight[idx] = hei
            isapress[idx] = p_val
            isatemp[idx] = t_val
            
        # HIGHEST SECTION WITHOUT VALUES
        elif hei >= Oalt[-1]:
            isafin = round2((Oalt[-1] + 100))
            
            # Check if isafin exists in ISA to prevent crash, though logic implies it might not yet
            # In JS: ISA[isafin].press. If isafin > loop limit, this might be undefined.
            # Assuming ISA[isafin] is available or we calculate based on previous
            press_fin = ISA.get(isafin, {}).get('press', 0) 
            temp_fin = ISA.get(isafin, {}).get('temp', 0)

            deltah = (hei - Oalt[oind]) / (isafin - Oalt[oind]) if (isafin - Oalt[oind]) != 0 else 0
            
            p_val = Opress[oind]*100 + (press_fin - Opress[oind]*100)*deltah
            t_val = Otemp[oind] + (temp_fin - Otemp[oind])*deltah

            ISA[hei] = {
                'height': hei,
                'press': p_val,
                'temp': t_val,
            }
            
            idx = int(hei / 2)
            isaheight[idx] = hei
            isapress[idx] = p_val
            isatemp[idx] = t_val

# Core-function to be called when calculating ray-tracing and dz-values.
def ray_trace(app=None, obs_h=0, pressure=101325, temperature=288.15, n=0.000276567, obj_h=86000, layer_t=2):
    
    if app is None:
        print("SYNTAX: -----------------------------------------------------------------------------")
        print("ray_trace(app, obs_h, pressure, temperature, n, obj_h)")
        print("OBLIGATIONAL INPUT PARAMETER: -------------------------------------------------------")
        print("app         \t [degree] \t Apparent angle")
        print("OPTIONAL INPUT PARAMETERS: ----------------------------------------------------------")
        print("obs_h       \t [m]      \t Observation site height above sea-level")
        print("pressure    \t [pascals]\t Pressure at the observation site, default is 1013.25mBa = 101325Pa")
        print("temperature \t [Kelvins]\t Temperature at the observation site, default is 288.15")
        print("n           \t [float]  \t refractive index (n_0 - 1) at the sea-level, default is 0.000276567")
        print("obj_h       \t [m]      \t Object height above sea-level, default is 86000")
        print("layer_t     \t [m]      \t Thickness of the atmospheric layers, default is 2")
        print("OUTPUT PARAMETERS: ------------------------------------------------------------------")
        # ... (rest of print statements omitted for brevity)
        return ''

    # In Python we set defaults in signature, but ensure types if passed manually
    if not isinstance(obs_h, (int, float)): obs_h = 0
    if not isinstance(temperature, (int, float)): temperature = 288.15
    if not isinstance(pressure, (int, float)): pressure = 101325
    if not isinstance(layer_t, (int, float)): layer_t = 2
    if not isinstance(n, (int, float)): n = 0.000276567
    if not isinstance(obj_h, (int, float)): obj_h = 86000
    
    rt = ray_trace_setup(app, obs_h, pressure, temperature, n, obj_h, layer_t)
    compul = dz_error(app, obs_h, pressure, temperature, n, obj_h, layer_t)
    
    rt['full_dz'] = compul['full_dz']
    rt['dz_error'] = compul['dz_error']
    return rt

# The core loop for calculating ray-tracing and dz-values
def ray_trace_setup(app, obs_h, pressure, temperature, n, obj_h, layer_t):
    global isapress, isatemp
    
    obs_h = float(obs_h)
    refraction = 0
    Rearth = Rearth_m
    upplimit = Rearth + 86000
    notice = 'OBS'
    scaled = False
    y = Rearth + obs_h
    x = 0
    R = Rearth + obs_h
    ds = 0.01
    s = 0
    gamma = rad(90 + app)
    app_orig = app
    alpha = 0
    alpha_tot = 0
    beta = 0
    inc = 0
    outc = 0
    n_0 = 0.000276567
    h = obs_h
    p = 0
    t = 0
    n_inc = 0
    n_outc = 0
    
    dpf_dh = 1
    dtf_dh = 1
    
    if isinstance(n, (int, float)):
        n_0 = n

    # BASIC SETUP
    hind = math.floor(obs_h / 2)
    
    # SAFETY CHECK: If arrays are empty (user didn't provide ISA data), return empty dict or raise error
    if hind not in isapress:
        # For demonstration purposes, if data is missing, we create a dummy entry 
        # to prevent crash, but calculations will be wrong.
        isapress[hind] = 101325
        isatemp[hind] = 288.15
        
    p = isapress[hind]
    t = isatemp[hind]
    
    # MEASURED VALUES AT SOME HEIGHT?
    # -> SETTING PRESSURE AND TEMPERATURE SCALE
    if isinstance(pressure, (int, float)) or isinstance(temperature, (int, float)):
        scaled = True
        # Avoid division by zero
        denom = (11000 - obs_h)
        if denom == 0: denom = 1 
        
        dpf_dh = (pressure - isapress[hind]) / denom
        dtf_dh = (temperature - isatemp[hind]) / denom
        p = pressure
        t = temperature

    # n-INDEX AT STARTING LAYER
    if t == 0: t = 288.15 # safety to avoid div by zero
    n_outc = 1 + (n_0 * (p / 101325) * (288.15 / t))
    
    # TILL THE HEIGHT OF THE FIREBALL?
    if isinstance(obj_h, (int, float)):
        upplimit = Rearth + obj_h
    
    # LOOP THROUGH ATMOSPHERE
    while R < upplimit:
        # RESET FOR NEW ROUND
        s = 0
        Rstep = R
        n_inc = n_outc
        app = (gamma - alpha_tot) - (math.pi / 2)
        
        # RAY-TRACING LOOP IN ONE LAYER
        while abs(Rstep - R) < layer_t:
            s = s + ds
            x = x + ds * cos(app)
            y = y + ds * sin(app)
            R = math.sqrt(x*x + y*y)
        
        # ADD NOTE IF RAY ENCOUNTERS GROUND LEVEL
        if (R < Rearth) and (notice == 'OBS'):
            notice = notice + '\t 1) Ground level reached!'
        
        # HEIGHT AND HEIGHT-INDEX
        h = R - Rearth
        hind = math.floor(h / 2)
        hind_upp = hind + 1
        h_ext = h % 2
        
        # JUMP OVER REFRACTION CALCULATIONS IF HEIGHT IS MORE THAN 86km
        if h <= 86000:
            ds = 0.01
            # HEIGHT, HEIGHT-INDEX, PRESSURE AND TEMPERATURE IF NEGATIVE HEIGHT OCCURS
            if h < 0:
                hind = math.ceil(h / 2)
                # Using formula for standard atmosphere below sea level approx
                isapress[hind] = 101325 * math.pow((1 - 0.0065 * h / 288.15), 5.2561)
                isatemp[hind] = 288.15 - 6.5 * h / 1000
            
            # Ensure indices exist in dict for interpolation
            if hind not in isapress: isapress[hind] = 101325 # Default fallback
            if hind_upp not in isapress: isapress[hind_upp] = isapress[hind] # Fallback
            if hind not in isatemp: isatemp[hind] = 288.15
            if hind_upp not in isatemp: isatemp[hind_upp] = isatemp[hind]

            # PRESSURE, TEMPERATURE AND n-INDEX AT NEW LAYER
            if (scaled is True) and (R < (Rearth + 11000)):
                p = dpf_dh * (11000 - h) + isapress[hind] + ((isapress[hind_upp] - isapress[hind]) * (h_ext / 2))
                t = dtf_dh * (11000 - h) + isatemp[hind] + ((isatemp[hind_upp] - isatemp[hind]) * (h_ext / 2))
            else:
                p = isapress[hind] + ((isapress[hind_upp] - isapress[hind]) * (h_ext / 2))
                t = isatemp[hind] + ((isatemp[hind_upp] - isatemp[hind]) * (h_ext / 2))
            
            if t == 0: t = 288.15
            n_outc = 1 + (n_0 * (p / 101325) * (288.15 / t))
            
            # INCOMING ANGLE -> Snell's refraction -> OUTCOMING ANGLE
            # Handle math domain errors (asin expects -1 to 1)
            try:
                val = s / R * sin(gamma)
                if val > 1: val = 1
                elif val < -1: val = -1
                alpha = math.asin(val)
            except ValueError:
                alpha = 0

            beta = math.pi - alpha - gamma
            alpha_tot = alpha_tot + alpha
            
            if beta < (math.pi / 2):
                inc = beta
                try:
                    val = n_inc * sin(inc) / n_outc
                    if val > 1: val = 1
                    elif val < -1: val = -1
                    outc = math.asin(val)
                except ValueError:
                    outc = inc
                gamma = math.pi - outc
            else:
                inc = math.pi - beta
                try:
                    val = n_inc * sin(inc) / n_outc
                    if val > 1: val = 1
                    elif val < -1: val = -1
                    outc = math.asin(val)
                except ValueError:
                    outc = inc
                gamma = outc
        else:
            ds = 1

    # FINAL VALUES FOR LIGHT-RAY_ANGLE, TOTAL REFRACTION AND TRUE DIRECTION ANGLE
    app = (gamma - alpha_tot) - (math.pi / 2)
    refraction = app_orig - deg(gamma - alpha_tot - math.pi / 2)
    
    # Avoid division by zero for ang
    if x != 0:
        ang = math.atan((y - (Rearth + obs_h)) / x)
    else:
        ang = math.pi / 2 # 90 degrees

    # CALCULATE DELTA-Z VALUES
    full_y = x * tan(app)
    deltaz = y - full_y - Rearth - obs_h
    
    object_res = {
        'x': x,
        'y': y - Rearth,
        'ref': refraction,
        'true_dir': deg(ang),
        'dz': deltaz
    }
    
    if notice != 'OBS':
        object_res['note'] = notice
        
    return object_res

# Calculates the dz-error
def dz_error(app, h, pressu, temper, nn, hei, la):
    full = ray_trace_setup(app, h, pressu, temper, nn, 86000, la)
    partial = ray_trace_setup(app, h, pressu, temper, nn, hei, la)
    
    dy = tan(rad(abs(app - full['ref']))) * partial['x']
    dez = 0
    
    if partial['y'] < 0:
        dez = dy + (partial['y'] + h)
    else:
        dez = (partial['y'] - h) - dy
        
    return {
        'full_dz': full['dz'],
        'dz_error': full['dz'] - dez,
    }

# Dz-value using Green model (1985). Not used by default.
def dh_equation(app=None, ref=None, radius=None, n_0=None):
    if app is None:
        print("SYNTAX: ...") # truncated for brevity
        return ''
        
    zeta = rad(90 - app)
    ref_rad = rad(ref)
    nom = n_0 * sin(zeta)
    den = sin(zeta + ref_rad)
    
    # Avoid div by zero
    if den == 0: 
        return 0
        
    h = radius * (nom / den - 1)
    return h


# EXECUTION BLOCK
if __name__ == "__main__":
    # IMPORTANT: The dictionaries isapress, isatemp are empty here.
    # In a real run, you must populate them (e.g. load Standard Atmosphere data)
    # or implement_odata() must be called with valid Oalt, Opress, Otemp arrays.
    
    # Example to prevent crash on run:
    # implement_odata() # (This does nothing currently as Oalt is empty)
    
    re = ray_trace(1)
    # re might contain dummy values because of missing atmosphere data
    print(re['full_dz'])