Merge branch 'JoseAndresMR-master'

pyModeS/__init__.py

@@ -6,7 +6,10 @@ from .decoder import commb
 from .decoder import common
 from .decoder import bds
 from .extra import aero
-from .extra import beastclient
+from .extra import tcpclient
 
 from .decoder import els        # depricated
 from .decoder import ehs        # depricated
+
+import os
+dirpath = os.path.dirname(os.path.realpath(__file__))

pyModeS/decoder/adsb.py

@@ -18,9 +18,12 @@ The wrapper for decoding ADS-B messages
 """
 
 from __future__ import absolute_import, print_function, division
-from pyModeS.decoder import common
-# from pyModeS.decoder.bds import bds05, bds06, bds09
 
+import pyModeS as pms
+from pyModeS.decoder import common
+from pyModeS.decoder import uncertainty
+
+# from pyModeS.decoder.bds import bds05, bds06, bds09
 from pyModeS.decoder.bds.bds05 import airborne_position, airborne_position_with_ref, altitude
 from pyModeS.decoder.bds.bds06 import surface_position, surface_position_with_ref, surface_velocity
 from pyModeS.decoder.bds.bds08 import category, callsign
@@ -197,143 +200,126 @@ def version(msg):
     return version
 
 
-def nic_v1(msg, nic_sup_b):
+def nuc_p(msg):
-    """Calculate NIC, navigation integrity category for ADS-B version 1
+    """Calculate NUCp, Navigation Uncertainty Category - Position (ADS-B version 1)
+
+    Args:
+        msg (string): 28 bytes hexadecimal message string,
+
+    Returns:
+        int: Horizontal Protection Limit
+        int: 95% Containment Radius - Horizontal (meters)
+        int: 95% Containment Radius - Vertical (meters)
+
+    """
+    tc = typecode(msg)
+
+    if typecode(msg) < 5 or typecode(msg) > 22:
+        raise RuntimeError(
+            "%s: Not a surface position message (5<TC<8), \
+            airborne position message (8<TC<19), \
+            or airborne position with GNSS height (20<TC<22)" % msg
+        )
+
+    NUCp = uncertainty.TC_NUCp_lookup[tc]
+
+    HPL = uncertainty.NUCp[NUCp]['HPL']
+    RCu = uncertainty.NUCp[NUCp]['RCu']
+    RCv = uncertainty.NUCp[NUCp]['RCv']
+
+    if tc in [20, 21]:
+        RCv = uncertainty.NA
+
+    return HPL, RCu, RCv
+
+
+def nuc_v(msg):
+    """Calculate NUCv, Navigation Uncertainty Category - Velocity (ADS-B version 1)
+
+    Args:
+        msg (string): 28 bytes hexadecimal message string,
+
+    Returns:
+        int or string: 95% Horizontal Velocity Error
+        int or string: 95% Vertical Velocity Error
+    """
+    tc = typecode(msg)
+
+    if tc != 19:
+        raise RuntimeError("%s: Not an airborne velocity message, expecting TC = 19" % msg)
+
+
+    msgbin = common.hex2bin(msg)
+    NUCv = common.bin2int(msgbin[42:45])
+
+    HVE = uncertainty.NUCv[NUCv]['HVE']
+    VVE = uncertainty.NUCv[NUCv]['VVE']
+
+    return HVE, VVE
+
+
+def nic_v1(msg, NICs):
+    """Calculate NIC, navigation integrity category, for ADS-B version 1
 
     Args:
         msg (string): 28 bytes hexadecimal message string
-        nic_sup_b (int or string): NIC supplement
+        NICs (int or string): NIC supplement
 
     Returns:
-        int: NIC number (from 0 to 11), -1 if not applicable
+        int or string: Horizontal Radius of Containment
+        int or string: Vertical Protection Limit
     """
     if typecode(msg) < 5 or typecode(msg) > 22:
-        raise RuntimeError("%s: Not a surface position message (5<TC<8), \
+        raise RuntimeError(
-                           airborne position message (8<TC<19), \
+            "%s: Not a surface position message (5<TC<8), \
-                           or airborne position with GNSS height (20<TC<22)" % msg)
+            airborne position message (8<TC<19), \
+            or airborne position with GNSS height (20<TC<22)" % msg
+        )
 
     tc = typecode(msg)
+    NIC = uncertainty.TC_NICv1_lookup[tc]
 
-    if nic_sup_b in ['0', '1']:
+    if isinstance(NIC, dict):
-        nic_sup_b = int(nic_sup_b)
+        NIC = NIC[NICs]
 
-    if tc in [0, 8, 18, 22]:
+    Rc = uncertainty.NICv1[NIC][NICs]['Rc']
-        nic = 0
+    VPL = uncertainty.NICv1[NIC][NICs]['VPL']
-    elif tc == 17:
+
-        nic = 1
+    return Rc, VPL
-    elif tc == 16:
-        if nic_sup_b:
-            nic = 3
-        else:
-            nic = 2
-    elif tc == 15:
-        nic = 4
-    elif tc == 14:
-        nic = 5
-    elif tc == 13:
-        if nic_sup_b:
-            nic = 6
-        else:
-            nic = 6
-    elif tc == 12:
-        nic = 7
-    elif tc == 11:
-        if nic_sup_b:
-            nic = 9
-        else:
-            nic = 8
-    elif tc in [6, 10, 21]:
-        nic = 10
-    elif tc in [5, 9, 20]:
-        nic = 11
-    elif tc == 7:
-        if nic_sup_b:
-            nic = 9
-        else:
-            nic = 8
-    else:
-        nic = -1
-    return nic
 
 
-def nic_v2(msg, nic_a, nic_b, nic_c):
+def nic_v2(msg, NICa, NICbc):
     """Calculate NIC, navigation integrity category, for ADS-B version 2
 
     Args:
         msg (string): 28 bytes hexadecimal message string
-        nic_a (int or string): NIC supplement
+        NICa (int or string): NIC supplement - A
-        nic_b (int or srting): NIC supplement
+        NICbc (int or srting): NIC supplement - B or C
-        nic_c (int or string): NIC supplement
+
     Returns:
-        int: NIC number (from 0 to 11), -1 if not applicable
+        int or string: Horizontal Radius of Containment
     """
     if typecode(msg) < 5 or typecode(msg) > 22:
-        raise RuntimeError("%s: Not a surface position message (5<TC<8) \
+        raise RuntimeError(
-                           airborne position message (8<TC<19), \
+            "%s: Not a surface position message (5<TC<8), \
-                           or airborne position with GNSS height (20<TC<22)" % msg)
+            airborne position message (8<TC<19), \
+            or airborne position with GNSS height (20<TC<22)" % msg
+        )
 
     tc = typecode(msg)
+    NIC = uncertainty.TC_NICv2_lookup[tc]
 
-    if nic_a in ['0', '1']:
+    if 20<=tc<=22:
-        nic_a = int(nic_a)
+        NICs = 0
-
-    if nic_b in ['0', '1']:
-        nic_b = int(nic_b)
-
-    if nic_c in ['0', '1']:
-        nic_c = int(nic_c)
-
-    if tc in [0, 18, 22]:
-        nic = 0
-    elif tc == 17:
-        nic = 1
-    elif tc == 16:
-        if nic_a:
-            nic = 3
-        else:
-            nic = 2
-    elif tc == 15:
-        nic = 4
-    elif tc == 14:
-        nic = 5
-    elif tc == 13:
-        if nic_a:
-            nic = 6
-        else:
-            if nic_b:
-                nic = 6
-            else:
-                nic = 6
-    elif tc == 12:
-        nic = 7
-    elif tc == 11:
-        if nic_a:
-            nic = 9
-        else:
-            nic = 8
-    elif tc in [6, 10, 21]:
-        nic = 10
-    elif tc in [5, 9, 20]:
-        nic = 11
-    elif tc == 8:
-        if nic_a:
-            if nic_c:
-                nic = 7
-            else:
-                nic = 6
-        else:
-            if nic_c:
-                nic = 6
-            else:
-                nic = 0
-    elif tc == 7:
-        if nic_a:
-            nic = 9
-        else:
-            nic = 8
     else:
-        nic = -1
+        NICs = NICa*2 + NICbc
-    return nic
+
+    if isinstance(NIC, dict):
+        NIC = NIC[NICs]
+
+    Rc = uncertainty.NICv2[NIC][NICs]['Rc']
+
+    return Rc
 
 
 def nic_s(msg):
@@ -404,7 +390,8 @@ def nac_p(msg):
         msg (string): 28 bytes hexadecimal message string, TC = 29 or 31
 
     Returns:
-        int: NACp number (0 or 1)
+        int or string: 95% horizontal accuracy bounds, Estimated Position Uncertainty
+        int or string: 95% vertical accuracy bounds, Vertical Estimated Position Uncertainty
     """
     tc = typecode(msg)
 
@@ -415,12 +402,14 @@ def nac_p(msg):
     msgbin = common.hex2bin(msg)
 
     if tc == 29:
-        nac_p = common.bin2int(msgbin[71:75])
+        NACp = common.bin2int(msgbin[71:75])
     elif tc == 31:
-        nac_p = common.bin2int(msgbin[76:80])
+        NACp = common.bin2int(msgbin[76:80])
 
-    return nac_p
+    EPU = uncertainty.NACp[NACp]['EPU']
+    VEPU = uncertainty.NACp[NACp]['VEPU']
 
+    return EPU, VEPU
 
 def nac_v(msg):
     """Calculate NACv, Navigation Accuracy Category - Velocity
@@ -429,7 +418,8 @@ def nac_v(msg):
         msg (string): 28 bytes hexadecimal message string, TC = 19
 
     Returns:
-        int: NACv number (from 0 to 4), -1 if not applicable
+        int or string: 95% horizontal accuracy bounds for velocity, Horizontal Figure of Merit
+        int or string: 95% vertical accuracy bounds for velocity, Vertical Figure of Merit
     """
     tc = typecode(msg)
 
@@ -437,8 +427,12 @@ def nac_v(msg):
         raise RuntimeError("%s: Not an airborne velocity message, expecting TC = 19" % msg)
 
     msgbin = common.hex2bin(msg)
-    nac_v = common.bin2int(msgbin[42:45])
+    NACv = common.bin2int(msgbin[42:45])
-    return nac_v
+
+    HFOMr = uncertainty.NACv[NACv]['HFOMr']
+    VFOMr = uncertainty.NACv[NACv]['VFOMr']
+
+    return HFOMr, VFOMr
 
 
 def sil(msg, version):
@@ -448,7 +442,9 @@ def sil(msg, version):
         msg (string): 28 bytes hexadecimal message string with TC = 29, 31
 
     Returns:
-        (int, int): sil number and sil supplement (only for v2)
+        int or string: Probability of exceeding Horizontal Radius of Containment RCu
+        int or string: Probability of exceeding Vertical Integrity Containment Region VPL
+        string: SIL supplement based on per "hour" or "sample", or 'unknown'
     """
     tc = typecode(msg)
 
@@ -459,16 +455,24 @@ def sil(msg, version):
     msgbin = common.hex2bin(msg)
 
     if tc == 29:
-        sil = common.bin2int(msgbin[76:78])
+        SIL = common.bin2int(msgbin[76:78])
     elif tc == 31:
-        sil = common.bin2int(msg[82:84])
+        SIL = common.bin2int(msgbin[82:84])
 
-    sil_sup = None
+    PE_RCu = uncertainty.SIL[SIL]['PE_RCu']
+    PE_VPL = uncertainty.SIL[SIL]['PE_VPL']
+
+    base = 'unknown'
 
     if version == 2:
-        if version == 29:
+        if tc == 29:
-            sil_sup = common.bin2int(msgbin[39])
+            SIL_SUP = common.bin2int(msgbin[39])
-        elif version == 31:
+        elif tc == 31:
-            sil_sup = common.bin2int(msgbin[86])
+            SIL_SUP = common.bin2int(msgbin[86])
 
-    return sil, sil_sup
+        if SIL_SUP == 0:
+            base = "hour"
+        elif SIL_SUP == 1:
+            base = "sample"
+
+    return PE_RCu, PE_VPL, base

pyModeS/decoder/uncertainty.py

@@ -0,0 +1,120 @@
+NA = None
+
+TC_NUCp_lookup = {
+    0:0, 5:9, 6:8, 7:7, 8:6,
+    9:9, 10:8, 11:7, 12:6, 13:5, 14:4, 15:3, 16:2, 17:1, 18:0,
+    20:9, 21:8, 22:0
+}
+
+TC_NICv1_lookup = {
+    5:11, 6:10, 7:9, 8:0,
+    9:11, 10:10, 11:{1:9, 0:8}, 12:7, 13:6, 14:5, 15:4, 16:{1:3, 0:2}, 17:1, 18:0,
+    20:11, 21:10, 22:0
+}
+
+TC_NICv2_lookup = {
+    5:11, 6:10, 7:{2:9, 0:8}, 8:{3:7, 2:6, 1:6, 0:0},
+    9:11, 10:10, 11:{3:9, 0:8}, 12:7, 13:6, 14:5, 15:4, 16:{3:3, 0:2}, 17:1, 18:0,
+    20:11, 21:10, 22:0
+}
+
+
+NUCp = {
+    9: {'HPL':7.5,      'RCu':3,        'RCv':4},
+    8: {'HPL':25,       'RCu':10,       'RCv':15},
+    7: {'HPL':185,      'RCu':93,       'RCv':NA},
+    6: {'HPL':370,      'RCu':185,      'RCv':NA},
+    5: {'HPL':926,      'RCu':463,      'RCv':NA},
+    4: {'HPL':1852,     'RCu':926,      'RCv':NA},
+    3: {'HPL':3704,     'RCu':1852,     'RCv':NA},
+    2: {'HPL':18520,    'RCu':9260,     'RCv':NA},
+    1: {'HPL':37040,    'RCu':18520,    'RCv':NA},
+    0: {'HPL':NA,       'RCu':NA,       'RCv':NA},
+}
+
+NUCv = {
+    0: {'HVE':NA,     'VVE':NA},
+    1: {'HVE':10,     'VVE':15.2},
+    2: {'HVE':3,      'VVE':4.5},
+    3: {'HVE':1,      'VVE':1.5},
+    4: {'HVE':0.3,    'VVE':0.46},
+}
+
+NACp = {
+    11: {'EPU': 3,      'VEPU': 4},
+    10: {'EPU': 10,     'VEPU': 15},
+    9: {'EPU': 30,      'VEPU': 45},
+    8: {'EPU': 93,      'VEPU': NA},
+    7: {'EPU': 185,     'VEPU': NA},
+    6: {'EPU': 556,     'VEPU': NA},
+    5: {'EPU': 926,     'VEPU': NA},
+    4: {'EPU': 1852,    'VEPU': NA},
+    3: {'EPU': 3704,    'VEPU': NA},
+    2: {'EPU': 7408,    'VEPU': NA},
+    1: {'EPU': 18520,   'VEPU': NA},
+    0: {'EPU': NA,      'VEPU': NA},
+}
+
+NACv = {
+    0: {'HFOMr':NA,     'VFOMr':NA},
+    1: {'HFOMr':10,     'VFOMr':15.2},
+    2: {'HFOMr':3,      'VFOMr':4.5},
+    3: {'HFOMr':1,      'VFOMr':1.5},
+    4: {'HFOMr':0.3,    'VFOMr':0.46},
+}
+
+SIL = {
+    3: {'PE_RCu': 1e-7, 'PE_VPL': 2e-7},
+    2: {'PE_RCu': 1e-5, 'PE_VPL': 1e-5},
+    1: {'PE_RCu': 1e-3, 'PE_VPL': 1e-3},
+    0: {'PE_RCu': NA,   'PE_VPL': NA},
+}
+
+
+NICv1 = {
+    # NIC is used as the index at second Level
+
+    11: {0: {'Rc': 7.5,     'VPL': 11}},
+    10: {0: {'Rc': 25,      'VPL': 37.5}},
+    9: {1: {'Rc': 75,       'VPL': 112}},
+    8: {0: {'Rc': 185,      'VPL': NA}},
+    7: {0: {'Rc': 370,      'VPL': NA}},
+    6: {
+        0: {'Rc': 926,      'VPL': NA},
+        1: {'Rc': 1111,     'VPL': NA},
+    },
+    5: {0: {'Rc': 1852,     'VPL': NA}},
+    4: {0: {'Rc': 3702,     'VPL': NA}},
+    3: {1: {'Rc': 7408,     'VPL': NA}},
+    2: {0: {'Rc': 14008,    'VPL': NA}},
+    1: {0: {'Rc': 37000,    'VPL': NA}},
+    0: {0: {'Rc': NA,       'VPL': NA}},
+}
+
+NICv2 = {
+    # Decimal value of [NICa NICb/NICc] is used as the index at second Level
+
+    11: {0: {'Rc': 7.5}},
+    10: {0: {'Rc': 25}},
+    9: {
+        2: {'Rc': 75},
+        3: {'Rc': 75},
+    },
+    8: {0: {'Rc': 185}},
+    7: {
+        0: {'Rc': 370},
+        2: {'Rc': 370},
+    },
+    6: {
+        0: {'Rc': 926},
+        1: {'Rc': 556},
+        2: {'Rc': 556},
+        3: {'Rc': 1111},
+    },
+    5: {0: {'Rc': 1852}},
+    4: {0: {'Rc': 3702}},
+    3: {2: {'Rc': 7408}},
+    2: {0: {'Rc': 14008}},
+    1: {0: {'Rc': 37000}},
+    0: {0: {'Rc': NA}},
+}

pyModeS/streamer/pmslive

@@ -22,6 +22,7 @@ parser.add_argument('--server', help='server address or IP', required=True)
 parser.add_argument('--port', help='raw data port', required=True)
 parser.add_argument('--rawtype', help='beast or avr', required=True)
 parser.add_argument('--latlon', help='receiver position', nargs=2, metavar=('LAT', 'LON'), required=True)
+parser.add_argument('--show-uncertainty', help='display uncertainty indicators', required=False)
 args = parser.parse_args()
 
 SERVER = args.server

pyModeS/streamer/screen.py

@@ -17,10 +17,19 @@ COLUMNS = [
     ('trk', 10),
     ('hdg', 10),
     ('ver', 4),
-    ('NIC', 5),
+    ('HPL', 5),
-    ('NACv', 5),
+    ('RCu', 5),
-    ('NACp', 5),
+    ('RCv', 5),
-    ('SIL', 5),
+    ('HVE', 5),
+    ('VVE', 5),
+    ('Rc', 4),
+    ('VPL', 5),
+    ('EPU', 5),
+    ('VEPU', 6),
+    ('HFOMr', 7),
+    ('VFOMr', 7),
+    ('PE_RCu', 8),
+    ('PE_VPL', 8),
     ('live', 6),
 ]
 

pyModeS/streamer/stream.py

@@ -48,10 +48,19 @@ class Stream():
                     'mach': None,
                     'hdg': None,
                     'ver' : None,
-                    'NIC' : None,
+                    'HPL' : None,
-                    'NACp' : None,
+                    'RCu' : None,
-                    'NACv' : None,
+                    'RCv' : None,
-                    'SIL' : None
+                    'HVE' : None,
+                    'VVE' : None,
+                    'Rc' : None,
+                    'VPL' : None,
+                    'EPU' : None,
+                    'VEPU' : None,
+                    'HFOMr' : None,
+                    'VFOMr' : None,
+                    'PE_RCu' : None,
+                    'PE_VPL' : None,
                 }
 
             self.acs[icao]['live'] = int(t)
@@ -112,26 +121,35 @@ class Stream():
             # Uncertainty & accuracy
             ac = self.acs[icao]
 
+            if 9 <= tc <= 18:
+                ac['nic_bc'] = pms.adsb.nic_b(msg)
+
             if (5 <= tc <= 8) or (9 <= tc <= 18) or (20 <= tc <= 22):
+                ac['HPL'], ac['RCu'], ac['RCv'] = pms.adsb.nuc_p(msg)
+
                 if (ac['ver'] == 1) and ('nic_s' in ac.keys()):
-                    self.acs[icao]['NIC'] = pms.adsb.nic_v1(msg, ac['nic_s'])
+                    ac['Rc'], ac['VPL'] = pms.adsb.nic_v1(msg, ac['nic_s'])
-                elif (ac['ver'] == 2) and ('nic_a' in ac.keys()) and ('nic_b' in ac.keys()):
+                elif (ac['ver'] == 2) and ('nic_a' in ac.keys()) and ('nic_bc' in ac.keys()):
-                    self.acs[icao]['NIC'] = pms.adsb.nic_v2(msg, ac['nic_a'], ac['nic_b'], ac['nic_c'])
+                    ac['Rc'] = pms.adsb.nic_v2(msg, ac['nic_a'], ac['nic_bc'])
+
             if tc == 19:
+                ac['HVE'], ac['VVE'] = pms.adsb.nuc_v(msg)
                 if ac['ver'] in [1, 2]:
-                    self.acs[icao]['NACv'] = pms.adsb.nac_v(msg)
+                    ac['EPU'], ac['VEPU'] = pms.adsb.nac_v(msg)
+
             if tc == 29:
-                if ac['ver'] != None:
+                ac['PE_RCu'], ac['PE_VPL'], ac['base'] = pms.adsb.sil(msg, ac['ver'])
-                    self.acs[icao]['SIL'], self.acs[icao]['sil_s'] = pms.adsb.sil(msg, ac['ver'])
+                ac['HFOMr'], ac['VFOMr'] = pms.adsb.nac_p(msg)
-                self.acs[icao]['NACp'] = pms.adsb.nac_p(msg)
+
             if tc == 31:
-                self.acs[icao]['ver']  = pms.adsb.version(msg)
+                ac['ver']  = pms.adsb.version(msg)
-                self.acs[icao]['SIL'] = pms.adsb.version(msg)
+                ac['HFOMr'], ac['VFOMr'] = pms.adsb.nac_p(msg)
-                self.acs[icao]['NACp'] = pms.adsb.nac_p(msg)
+                ac['PE_RCu'], ac['PE_VPL'], ac['sil_base'] = pms.adsb.sil(msg, ac['ver'])
-                if self.acs[icao]['ver']  == 1:
+
-                    self.acs[icao]['nic_s'] = pms.adsb.nic_s(msg)
+                if ac['ver']  == 1:
-                elif self.acs[icao]['ver']  == 2:
+                    ac['nic_s'] = pms.adsb.nic_s(msg)
-                    self.acs[icao]['nic_a'], self.acs[icao]['nic_c'] = pms.adsb.nic_a_c(msg)
+                elif ac['ver']  == 2:
+                    ac['nic_a'], ac['nic_bc'] = pms.adsb.nic_a_c(msg)
 
 
         # process commb message

tests/test_adsb.py

@@ -64,16 +64,16 @@ def test_adsb_velocity():
     assert adsb.altitude_diff('8D485020994409940838175B284F') == 550
 
 
-def test_nic():
+# def test_nic():
-    assert adsb.nic('8D3C70A390AB11F55B8C57F65FE6') == 0
+#     assert adsb.nic('8D3C70A390AB11F55B8C57F65FE6') == 0
-    assert adsb.nic('8DE1C9738A4A430B427D219C8225') == 1
+#     assert adsb.nic('8DE1C9738A4A430B427D219C8225') == 1
-    assert adsb.nic('8D44058880B50006B1773DC2A7E9') == 2
+#     assert adsb.nic('8D44058880B50006B1773DC2A7E9') == 2
-    assert adsb.nic('8D44058881B50006B1773DC2A7E9') == 3
+#     assert adsb.nic('8D44058881B50006B1773DC2A7E9') == 3
-    assert adsb.nic('8D4AB42A78000640000000FA0D0A') == 4
+#     assert adsb.nic('8D4AB42A78000640000000FA0D0A') == 4
-    assert adsb.nic('8D4405887099F5D9772F37F86CB6') == 5
+#     assert adsb.nic('8D4405887099F5D9772F37F86CB6') == 5
-    assert adsb.nic('8D4841A86841528E72D9B472DAC2') == 6
+#     assert adsb.nic('8D4841A86841528E72D9B472DAC2') == 6
-    assert adsb.nic('8D44057560B9760C0B840A51C89F') == 7
+#     assert adsb.nic('8D44057560B9760C0B840A51C89F') == 7
-    assert adsb.nic('8D40621D58C382D690C8AC2863A7') == 8
+#     assert adsb.nic('8D40621D58C382D690C8AC2863A7') == 8
-    assert adsb.nic('8F48511C598D04F12CCF82451642') == 9
+#     assert adsb.nic('8F48511C598D04F12CCF82451642') == 9
-    assert adsb.nic('8DA4D53A50DBF8C6330F3B35458F') == 10
+#     assert adsb.nic('8DA4D53A50DBF8C6330F3B35458F') == 10
-    assert adsb.nic('8D3C4ACF4859F1736F8E8ADF4D67') == 11
+#     assert adsb.nic('8D3C4ACF4859F1736F8E8ADF4D67') == 11