 =============================================
 =============================================
 TESTING SYMPLECTIC SCALING
 
 =============================================
 DHAEV TESTS: ORDER N =           -1
 OF COURSE, THIS IS NOT A VALID TEST CASE.
 IT CHECKS THAT DHAEV RETURNS WITH AN ERROR.
 SYMPLECTIC SCALING
 ERROR: DHABL RETURNS IERR =           -2
 
 
 =============================================
 DHAEV TESTS: ORDER N =            0
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            1
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =   0.214824703705671     
              QPNRM =   0.214824703705671     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            2
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    2.39383677704275     
              QPNRM =    2.39383677704275     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    2.71358172647186D-016
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            3
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    15.2256806281845     
              QPNRM =    15.2256806281845     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    2.48715480617792D-016
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            4
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    18.6106681314024     
              QPNRM =    18.6106681314024     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    1.05324995919445D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            5
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    20.0403972386819     
              QPNRM =    20.0403972386819     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    8.98671786199432D-016
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            6
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    27.0871508893049     
              QPNRM =    27.0871508893049     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    2.02603694132078D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            7
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    31.9715120365886     
              QPNRM =    31.9715120365887     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    1.80862850391281D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            8
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    882.676073201900     
              QPNRM =    882.676073201900     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    1.65131705626505D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            9
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    439.327533212684     
              QPNRM =    439.327533212684     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    2.71075777868489D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           10
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    1309.25463730288     
              QPNRM =    1309.25463730288     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    1.88490594202794D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           11
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    1741.05138887116     
              QPNRM =    1741.05138887116     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    2.50411707039103D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           12
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    3176.84165062155     
              QPNRM =    3176.84165062155     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    2.28384097451001D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           13
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    15116.5791935657     
              QPNRM =    15116.5791935657     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    3.29590245254523D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           14
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    3473.23144926256     
              QPNRM =    3473.23144926256     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    3.90823874717891D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           15
 SYMPLECTIC SCALING
 NO ERRORS DETECTED.
 SCALE OK:    GPNRM =    23047.5564527910     
              QPNRM =    23047.5564527910     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    3.74980345485544D-015
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 =============================================
 
 
 =============================================
 DHAEV TESTS: ORDER N =           -1
 OF COURSE, THIS IS NOT A VALID TEST CASE.
 IT CHECKS THAT DHAEV RETURNS WITH AN ERROR.
 NORM SCALING
 ERROR: DHABL RETURNS IERR =           -2
 
 
 =============================================
 DHAEV TESTS: ORDER N =            0
 NORM SCALING
 NO ERRORS DETECTED.
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            1
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    8.00000000000000     
              ANRM  =   0.112480187217699     
              GNRM  =    4.72836791261691D-002
              QNRM  =    7.15717213448476     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            2
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    32.0000000000000     
              ANRM  =    2.08543567037179     
              GNRM  =    7.35338166707300D-002
              QNRM  =    38.6716641328500     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            3
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    128.000000000000     
              ANRM  =    6.92985441365365     
              GNRM  =    8.27674077762709D-002
              QNRM  =    111.602234394339     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            4
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    128.000000000000     
              ANRM  =    13.0185885521640     
              GNRM  =    8.14982239347055D-002
              QNRM  =    96.6854420214134     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            5
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    256.000000000000     
              ANRM  =    26.4153828934938     
              GNRM  =   0.203519877652393     
              QNRM  =    275.083577477601     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            6
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    512.000000000000     
              ANRM  =    44.7518865401816     
              GNRM  =   0.127302023790044     
              QNRM  =    495.648625058800     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            7
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    512.000000000000     
              ANRM  =    129.194114084613     
              GNRM  =    8.86817468456751D-002
              QNRM  =    544.276163281934     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            8
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    512.000000000000     
              ANRM  =    111.675056434900     
              GNRM  =   0.102327196073017     
              QNRM  =    701.419921152902     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =            9
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    1024.00000000000     
              ANRM  =    383.450623043022     
              GNRM  =    9.51123274416865D-002
              QNRM  =    806.754300003111     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           10
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    1024.00000000000     
              ANRM  =    453.189124764968     
              GNRM  =    9.46373237162815D-002
              QNRM  =    1274.50458407210     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           11
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    2048.00000000000     
              ANRM  =    3029.05979356483     
              GNRM  =    9.41943554042665D-002
              QNRM  =    1462.80363077944     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           12
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    2048.00000000000     
              ANRM  =    2436.91067122740     
              GNRM  =   0.113971094531401     
              QNRM  =    1399.15367777839     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           13
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    8192.00000000000     
              ANRM  =    7090.34171108275     
              GNRM  =   0.108161346046478     
              QNRM  =    1905.00516147236     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           14
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    16384.0000000000     
              ANRM  =    16078.4411578713     
              GNRM  =   0.112534080495865     
              QNRM  =    1966.31749866508     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
 =============================================
 DHAEV TESTS: ORDER N =           15
 NORM SCALING
 NO ERRORS DETECTED.
 SCALE OK:
              TAU   =    32768.0000000000     
              ANRM  =    32113.0244594608     
              GNRM  =   0.112954504364062     
              QNRM  =    2178.85440466470     
 
 SIMILARITY CHECK:
 RELATIVE ERROR  =    0.00000000000000D+000
 OK: THE OUTPUT APPEARS TO BE SIMILAR TO THE
     INPUT 'MODULO ROUNDING ERRORS' AS IT 
     SHOULD BE.
 
 
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 =============================================
 
 
 
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 NO SUSPICIOUS TEST RESULTS.
