test_helper.h

#ifndef TEST_HELPER_H
#define TEST_HELPER_H
#if FIX_INT_BITS == 1
  #define PRINT_TEST_zero                " 0.0000000000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0.5000000000000000000000000000000000000000000000000000000000000" // 0x4000000000000000
  #define PRINT_TEST_half_neg            "-0.5000000000000000000000000000000000000000000000000000000000000" // 0xc000000000000000
  #define PRINT_TEST_one                 " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_one_neg             "-1.0000000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_two                 " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_epsilon             " 0.0000000000000000004336808689942017736029811203479766845703125" // 0x0000000000000004
  #define PRINT_TEST_e                   " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_e_neg               "-Inf                                                            " // 0x0000000000000003
  #define PRINT_TEST_pi                  " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_pi_neg              "-Inf                                                            " // 0x0000000000000003
  #define PRINT_TEST_tau                 " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_tau_neg             "-Inf                                                            " // 0x0000000000000003
  #define PRINT_TEST_ten                 " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_ten_neg             "-Inf                                                            " // 0x0000000000000003
  #define PRINT_TEST_max                 " 0.9999999999999999995663191310057982263970188796520233154296875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-1.0000000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-1.0000000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                            " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                            " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                            " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM( 0,9999999999999999995663191310057982263970188796520233154296875) // 0x7ffffffffffffffc
  // Max was FIXNUM( 0.9999999999999999995663191310057982263970188796520233154296875), sqrt was  0.9999999999999998889776975374843459576368331909179687500000000, difference  0.0000000000000001105886215935214522687601856887340545654296875 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIX_INF_NEG // actual: -42.282
  #define FIX_TEST_LN_max                FIXNUM(-0,0000000000000002471980953266950109536992385983467102050781250) // 0xfffffffffffff718, actual -1.1102230246251565404e-16, difference: 1.3617579286417935691e-16 epsilon: 4.33681e-19 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIX_INF_NEG // actual: -61
  #define FIX_TEST_LOG2_max              FIXNUM(-0,0000000000000007112366251504909087088890373706817626953125000) // 0xffffffffffffe660, actual -1.6017132519074588204e-16, difference: 5.5106529995974497737e-16 epsilon: 4.33681e-19 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIX_INF_NEG // actual: -18.3628
  #define FIX_TEST_LOG10_max             FIXNUM(-0,0000000000000000841340885848751440789783373475074768066406250) // 0xfffffffffffffcf8, actual -4.821637332766436048e-17, difference: 3.5917715257210783599e-17 epsilon: 4.33681e-19 larger: 1
#endif /* FIX_INT_BITS == 1 */
#if FIX_INT_BITS == 2
  #define PRINT_TEST_zero                " 0.000000000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0.500000000000000000000000000000000000000000000000000000000000" // 0x2000000000000000
  #define PRINT_TEST_half_neg            "-0.500000000000000000000000000000000000000000000000000000000000" // 0xe000000000000000
  #define PRINT_TEST_one                 " 1.000000000000000000000000000000000000000000000000000000000000" // 0x4000000000000000
  #define PRINT_TEST_one_neg             "-1.000000000000000000000000000000000000000000000000000000000000" // 0xc000000000000000
  #define PRINT_TEST_two                 " Inf                                                           " // 0x0000000000000002
  #define PRINT_TEST_epsilon             " 0.000000000000000000867361737988403547205962240695953369140625" // 0x0000000000000004
  #define PRINT_TEST_e                   " Inf                                                           " // 0x0000000000000002
  #define PRINT_TEST_e_neg               "-Inf                                                           " // 0x0000000000000003
  #define PRINT_TEST_pi                  " Inf                                                           " // 0x0000000000000002
  #define PRINT_TEST_pi_neg              "-Inf                                                           " // 0x0000000000000003
  #define PRINT_TEST_tau                 " Inf                                                           " // 0x0000000000000002
  #define PRINT_TEST_tau_neg             "-Inf                                                           " // 0x0000000000000003
  #define PRINT_TEST_ten                 " Inf                                                           " // 0x0000000000000002
  #define PRINT_TEST_ten_neg             "-Inf                                                           " // 0x0000000000000003
  #define PRINT_TEST_max                 " 1.999999999999999999132638262011596452794037759304046630859375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-2.000000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                           " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-2.000000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                           " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                           " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                           " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM( 1,414213562373095050064830680014438257785513997077941894531250) // 0x5a827999fcef3248
  // Max was FIXNUM( 1.999999999999999999132638262011596452794037759304046630859375), sqrt was  1.414213562373094923430016933707520365715026855468750000000000, difference  0.000000000000000126634813746306917892070487141609191894531250 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIX_INF_NEG // actual: -41.5888
  #define FIX_TEST_LN_max                FIXNUM( 0,693147180559945061580073843998661686782725155353546142578125) // 0x2c5c85fdf473d9f4, actual 0.6931471805599451752, difference: 2.2204460492503130808e-16 epsilon: 8.67362e-19 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIX_INF_NEG // actual: -60
  #define FIX_TEST_LOG2_max              FIXNUM( 0,999999999999999288763374849509091291110962629318237304687500) // 0x3ffffffffffff330, actual 0.99999999999999988898, difference: 6.6613381477509392425e-16 epsilon: 8.67362e-19 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIX_INF_NEG // actual: -18.0618
  #define FIX_TEST_LOG10_max             FIXNUM( 0,301029995663981110413931485680905097979120910167694091796875) // 0x134413509f79fd6c, actual 0.30102999566398114251, difference: 5.5511151231257827021e-17 epsilon: 8.67362e-19 larger: 1
#endif /* FIX_INT_BITS == 2 */
#if FIX_INT_BITS == 3
  #define PRINT_TEST_zero                " 0.00000000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0.50000000000000000000000000000000000000000000000000000000000" // 0x1000000000000000
  #define PRINT_TEST_half_neg            "-0.50000000000000000000000000000000000000000000000000000000000" // 0xf000000000000000
  #define PRINT_TEST_one                 " 1.00000000000000000000000000000000000000000000000000000000000" // 0x2000000000000000
  #define PRINT_TEST_one_neg             "-1.00000000000000000000000000000000000000000000000000000000000" // 0xe000000000000000
  #define PRINT_TEST_two                 " 2.00000000000000000000000000000000000000000000000000000000000" // 0x4000000000000000
  #define PRINT_TEST_epsilon             " 0.00000000000000000173472347597680709441192448139190673828125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 2.71828182845904523477764680450263767852447926998138427734375" // 0x56fc2a2c515da54c
  #define PRINT_TEST_e_neg               "-2.71828182845904523477764680450263767852447926998138427734375" // 0xa903d5d3aea25ab4
  #define PRINT_TEST_pi                  " 3.14159265358979323916333026289748886483721435070037841796875" // 0x6487ed5110b4611c
  #define PRINT_TEST_pi_neg              "-3.14159265358979323916333026289748886483721435070037841796875" // 0x9b7812aeef4b9ee4
  #define PRINT_TEST_tau                 " Inf                                                          " // 0x0000000000000002
  #define PRINT_TEST_tau_neg             "-Inf                                                          " // 0x0000000000000003
  #define PRINT_TEST_ten                 " Inf                                                          " // 0x0000000000000002
  #define PRINT_TEST_ten_neg             "-Inf                                                          " // 0x0000000000000003
  #define PRINT_TEST_max                 " 3.99999999999999999826527652402319290558807551860809326171875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-4.00000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                          " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-4.00000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                          " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                          " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                          " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM( 2,00000000000000000000000000000000000000000000000000000000000) // 0x4000000000000000
  // Max was FIXNUM( 3.99999999999999999826527652402319290558807551860809326171875), sqrt was  1.99999999999999977795539507496869191527366638183593750000000, difference  0.00000000000000022204460492503130808472633361816406250000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIX_INF_NEG // actual: -40.8957
  #define FIX_TEST_LN_max                FIXNUM( 1,38629436111989037122560475268073787447065114974975585937500) // 0x2c5c85fdf473dc30, actual 1.3862943611198905725, difference: 2.2204460492503130808e-16 epsilon: 1.73472e-18 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIX_INF_NEG // actual: -59
  #define FIX_TEST_LOG2_max              FIXNUM( 1,99999999999999928876337484950909129111096262931823730468750) // 0x3ffffffffffff998, actual 1.999999999999999778, difference: 6.6613381477509392425e-16 epsilon: 1.73472e-18 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIX_INF_NEG // actual: -17.7608
  #define FIX_TEST_LOG10_max             FIXNUM( 0,60205999132796230582931329422535782214254140853881835937500) // 0x134413509f79fe30, actual 0.60205999132796239603, difference: 1.1102230246251565404e-16 epsilon: 1.73472e-18 larger: 1
#endif /* FIX_INT_BITS == 3 */
#if FIX_INT_BITS == 4
  #define PRINT_TEST_zero                " 0.0000000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0.5000000000000000000000000000000000000000000000000000000000" // 0x0800000000000000
  #define PRINT_TEST_half_neg            "-0.5000000000000000000000000000000000000000000000000000000000" // 0xf800000000000000
  #define PRINT_TEST_one                 " 1.0000000000000000000000000000000000000000000000000000000000" // 0x1000000000000000
  #define PRINT_TEST_one_neg             "-1.0000000000000000000000000000000000000000000000000000000000" // 0xf000000000000000
  #define PRINT_TEST_two                 " 2.0000000000000000000000000000000000000000000000000000000000" // 0x2000000000000000
  #define PRINT_TEST_epsilon             " 0.0000000000000000034694469519536141888238489627838134765625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 2.7182818284590452365123702804794447729364037513732910156250" // 0x2b7e151628aed2a8
  #define PRINT_TEST_e_neg               "-2.7182818284590452365123702804794447729364037513732910156250" // 0xd481eae9d7512d58
  #define PRINT_TEST_pi                  " 3.1415926535897932374286067869206817704252898693084716796875" // 0x3243f6a8885a308c
  #define PRINT_TEST_pi_neg              "-3.1415926535897932374286067869206817704252898693084716796875" // 0xcdbc095777a5cf74
  #define PRINT_TEST_tau                 " 6.2831853071795864783266605257949777296744287014007568359375" // 0x6487ed5110b4611c
  #define PRINT_TEST_tau_neg             "-6.2831853071795864783266605257949777296744287014007568359375" // 0x9b7812aeef4b9ee4
  #define PRINT_TEST_ten                 " Inf                                                         " // 0x0000000000000002
  #define PRINT_TEST_ten_neg             "-Inf                                                         " // 0x0000000000000003
  #define PRINT_TEST_max                 " 7.9999999999999999965305530480463858111761510372161865234375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-8.0000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                         " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-8.0000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                         " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                         " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                         " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM( 2,8284271247461901001296613600288765155710279941558837890625) // 0x2d413cccfe779924
  // Max was FIXNUM( 7.9999999999999999965305530480463858111761510372161865234375), sqrt was  2.8284271247461898468600338674150407314300537109375000000000, difference  0.0000000000000002532696274926138357841409742832183837890625 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIX_INF_NEG // actual: -40.2025
  #define FIX_TEST_LN_max                FIXNUM( 2,0794415416798356817384973993512176093645393848419189453125) // 0x2145647e7756e5b4, actual 2.0794415416798357477, difference: 4.4408920985006261617e-16 epsilon: 3.46945e-18 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIX_INF_NEG // actual: -58
  #define FIX_TEST_LOG2_max              FIXNUM( 2,9999999999999992887633748495090912911109626293182373046875) // 0x2ffffffffffffccc, actual 3, difference: 8.8817841970012523234e-16 epsilon: 3.46945e-18 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIX_INF_NEG // actual: -17.4597
  #define FIX_TEST_LOG10_max             FIXNUM( 0,9030899869919435003773333647814069990999996662139892578125) // 0x0e730e7c779b7ed4, actual 0.90308998699194353854, difference: 1.1102230246251565404e-16 epsilon: 3.46945e-18 larger: 1
#endif /* FIX_INT_BITS == 4 */
#if FIX_INT_BITS == 5
  #define PRINT_TEST_zero                " 00.000000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00.500000000000000000000000000000000000000000000000000000000" // 0x0400000000000000
  #define PRINT_TEST_half_neg            "-00.500000000000000000000000000000000000000000000000000000000" // 0xfc00000000000000
  #define PRINT_TEST_one                 " 01.000000000000000000000000000000000000000000000000000000000" // 0x0800000000000000
  #define PRINT_TEST_one_neg             "-01.000000000000000000000000000000000000000000000000000000000" // 0xf800000000000000
  #define PRINT_TEST_two                 " 02.000000000000000000000000000000000000000000000000000000000" // 0x1000000000000000
  #define PRINT_TEST_epsilon             " 00.000000000000000006938893903907228377647697925567626953125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 02.718281828459045236512370280479444772936403751373291015625" // 0x15bf0a8b14576954
  #define PRINT_TEST_e_neg               "-02.718281828459045236512370280479444772936403751373291015625" // 0xea40f574eba896ac
  #define PRINT_TEST_pi                  " 03.141592653589793240898053738874295959249138832092285156250" // 0x1921fb54442d1848
  #define PRINT_TEST_pi_neg              "-03.141592653589793240898053738874295959249138832092285156250" // 0xe6de04abbbd2e7b8
  #define PRINT_TEST_tau                 " 06.283185307179586474857213573841363540850579738616943359375" // 0x3243f6a8885a308c
  #define PRINT_TEST_tau_neg             "-06.283185307179586474857213573841363540850579738616943359375" // 0xcdbc095777a5cf74
  #define PRINT_TEST_ten                 " 10.000000000000000000000000000000000000000000000000000000000" // 0x5000000000000000
  #define PRINT_TEST_ten_neg             "-10.000000000000000000000000000000000000000000000000000000000" // 0xb000000000000000
  #define PRINT_TEST_max                 " 15.999999999999999993061106096092771622352302074432373046875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-16.000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                         " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-16.000000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                         " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                         " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                         " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(  4,000000000000000000000000000000000000000000000000000000000) // 0x2000000000000000
  // Max was FIXNUM( 15.999999999999999993061106096092771622352302074432373046875), sqrt was  03.999999999999999555910790149937383830547332763671875000000, difference  00.000000000000000444089209850062616169452667236328125000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIX_INF_NEG // actual: -39.5094
  #define FIX_TEST_LN_max                FIXNUM(  2,772588722239780985312496142114468966610729694366455078125) // 0x162e42fefa39eea4, actual 2.7725887222397811449, difference: 4.4408920985006261617e-16 epsilon: 6.93889e-18 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIX_INF_NEG // actual: -57
  #define FIX_TEST_LOG2_max              FIXNUM(  3,999999999999999292232821801462705479934811592102050781250) // 0x1ffffffffffffe68, actual 4, difference: 8.8817841970012523234e-16 epsilon: 6.93889e-18 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIX_INF_NEG // actual: -17.1587
  #define FIX_TEST_LOG10_max             FIXNUM(  1,204119982655924694925353435337456176057457923889160156250) // 0x09a209a84fbcff48, actual 1.2041199826559247921, difference: 2.2204460492503130808e-16 epsilon: 6.93889e-18 larger: 1
#endif /* FIX_INT_BITS == 5 */
#if FIX_INT_BITS == 6
  #define PRINT_TEST_zero                " 00.00000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00.50000000000000000000000000000000000000000000000000000000" // 0x0200000000000000
  #define PRINT_TEST_half_neg            "-00.50000000000000000000000000000000000000000000000000000000" // 0xfe00000000000000
  #define PRINT_TEST_one                 " 01.00000000000000000000000000000000000000000000000000000000" // 0x0400000000000000
  #define PRINT_TEST_one_neg             "-01.00000000000000000000000000000000000000000000000000000000" // 0xfc00000000000000
  #define PRINT_TEST_two                 " 02.00000000000000000000000000000000000000000000000000000000" // 0x0800000000000000
  #define PRINT_TEST_epsilon             " 00.00000000000000001387778780781445675529539585113525390625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 02.71828182845904522957347637657221639528870582580566406250" // 0x0adf85458a2bb4a8
  #define PRINT_TEST_e_neg               "-02.71828182845904522957347637657221639528870582580566406250" // 0xf5207aba75d44b58
  #define PRINT_TEST_pi                  " 03.14159265358979324089805373887429595924913883209228515625" // 0x0c90fdaa22168c24
  #define PRINT_TEST_pi_neg              "-03.14159265358979324089805373887429595924913883209228515625" // 0xf36f0255dde973dc
  #define PRINT_TEST_tau                 " 06.28318530717958648179610747774859191849827766418457031250" // 0x1921fb54442d1848
  #define PRINT_TEST_tau_neg             "-06.28318530717958648179610747774859191849827766418457031250" // 0xe6de04abbbd2e7b8
  #define PRINT_TEST_ten                 " 10.00000000000000000000000000000000000000000000000000000000" // 0x2800000000000000
  #define PRINT_TEST_ten_neg             "-10.00000000000000000000000000000000000000000000000000000000" // 0xd800000000000000
  #define PRINT_TEST_max                 " 31.99999999999999998612221219218554324470460414886474609375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-32.00000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                        " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-32.00000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                        " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                        " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                        " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(  5,65685424949238020719821662396498140878975391387939453125) // 0x16a09e667f3bcc94
  // Max was FIXNUM( 31.99999999999999998612221219218554324470460414886474609375), sqrt was  05.65685424949237969372006773483008146286010742187500000000, difference  00.00000000000000051347814888913489994592964649200439453125 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIX_INF_NEG // actual: -38.8162
  #define FIX_TEST_LN_max                FIXNUM(  3,46573590279972629235594183683133451268076896667480468750) // 0x0ddce9df5c643538, actual 3.4657359027997265422, difference: 4.4408920985006261617e-16 epsilon: 1.38778e-17 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIX_INF_NEG // actual: -56
  #define FIX_TEST_LOG2_max              FIXNUM(  4,99999999999999929223282180146270547993481159210205078125) // 0x13ffffffffffff34, actual 5, difference: 8.8817841970012523234e-16 epsilon: 1.38778e-17 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-16,85767975718294701958921422146886470727622509002685546875) // 0xbc91bc65d1d50394, actual -16.857679757182946645, difference: 0 epsilon: 1.38778e-17 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(  1,50514997831990589294282045784711954183876514434814453125) // 0x0605460931d61f94, actual 1.5051499783199058236, difference: 0 epsilon: 1.38778e-17 larger: 0
#endif /* FIX_INT_BITS == 6 */
#if FIX_INT_BITS == 7
  #define PRINT_TEST_zero                " 00.0000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00.5000000000000000000000000000000000000000000000000000000" // 0x0100000000000000
  #define PRINT_TEST_half_neg            "-00.5000000000000000000000000000000000000000000000000000000" // 0xff00000000000000
  #define PRINT_TEST_one                 " 01.0000000000000000000000000000000000000000000000000000000" // 0x0200000000000000
  #define PRINT_TEST_one_neg             "-01.0000000000000000000000000000000000000000000000000000000" // 0xfe00000000000000
  #define PRINT_TEST_two                 " 02.0000000000000000000000000000000000000000000000000000000" // 0x0400000000000000
  #define PRINT_TEST_epsilon             " 00.0000000000000000277555756156289135105907917022705078125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 02.7182818284590452295734763765722163952887058258056640625" // 0x056fc2a2c515da54
  #define PRINT_TEST_e_neg               "-02.7182818284590452295734763765722163952887058258056640625" // 0xfa903d5d3aea25ac
  #define PRINT_TEST_pi                  " 03.1415926535897932270202659310598392039537429809570312500" // 0x06487ed5110b4610
  #define PRINT_TEST_pi_neg              "-03.1415926535897932270202659310598392039537429809570312500" // 0xf9b7812aeef4b9f0
  #define PRINT_TEST_tau                 " 06.2831853071795864817961074777485919184982776641845703125" // 0x0c90fdaa22168c24
  #define PRINT_TEST_tau_neg             "-06.2831853071795864817961074777485919184982776641845703125" // 0xf36f0255dde973dc
  #define PRINT_TEST_ten                 " 10.0000000000000000000000000000000000000000000000000000000" // 0x1400000000000000
  #define PRINT_TEST_ten_neg             "-10.0000000000000000000000000000000000000000000000000000000" // 0xec00000000000000
  #define PRINT_TEST_max                 " 63.9999999999999999722444243843710864894092082977294921875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-64.0000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                       " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-64.0000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                       " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                       " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                       " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(  8,0000000000000000000000000000000000000000000000000000000) // 0x1000000000000000
  // Max was FIXNUM( 63.9999999999999999722444243843710864894092082977294921875), sqrt was  07.9999999999999991118215802998747676610946655273437500000, difference  00.0000000000000008881784197001252323389053344726562500000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-38,1230949307969922690286779243251658044755458831787109375) // 0xb3c0f9b383d8d994, actual -38.123094930796995072, difference: -7.1054273576010018587e-15 epsilon: 2.77556e-17 larger: 1
  #define FIX_TEST_LN_max                FIXNUM(  4,1588830833596716063382814354554284363985061645507812500) // 0x0851591f9dd5b990, actual 4.1588830833596714953, difference: 0 epsilon: 2.77556e-17 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-55,0000000000000007216449660063517512753605842590332031250) // 0x91ffffffffffff98, actual -55, difference: 0 epsilon: 2.77556e-17 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(  5,9999999999999992783550339936482487246394157409667968750) // 0x0bffffffffffff98, actual 6, difference: 8.8817841970012523234e-16 epsilon: 2.77556e-17 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-16,5566497615189658354495350067736580967903137207031250000) // 0xdee2fecd6de651c0, actual -16.556649761518965391, difference: 0 epsilon: 2.77556e-17 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(  1,8061799739838870770824996725423261523246765136718750000) // 0x039cc39f1de6dfc0, actual 1.8061799739838870771, difference: 0 epsilon: 2.77556e-17 larger: 0
#endif /* FIX_INT_BITS == 7 */
#if FIX_INT_BITS == 8
  #define PRINT_TEST_zero                " 000.000000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000.500000000000000000000000000000000000000000000000000000" // 0x0080000000000000
  #define PRINT_TEST_half_neg            "-000.500000000000000000000000000000000000000000000000000000" // 0xff80000000000000
  #define PRINT_TEST_one                 " 001.000000000000000000000000000000000000000000000000000000" // 0x0100000000000000
  #define PRINT_TEST_one_neg             "-001.000000000000000000000000000000000000000000000000000000" // 0xff00000000000000
  #define PRINT_TEST_two                 " 002.000000000000000000000000000000000000000000000000000000" // 0x0200000000000000
  #define PRINT_TEST_epsilon             " 000.000000000000000055511151231257827021181583404541015625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 002.718281828459045257329051992201129905879497528076171875" // 0x02b7e151628aed2c
  #define PRINT_TEST_e_neg               "-002.718281828459045257329051992201129905879497528076171875" // 0xfd481eae9d7512d4
  #define PRINT_TEST_pi                  " 003.141592653589793227020265931059839203953742980957031250" // 0x03243f6a8885a308
  #define PRINT_TEST_pi_neg              "-003.141592653589793227020265931059839203953742980957031250" // 0xfcdbc095777a5cf8
  #define PRINT_TEST_tau                 " 006.283185307179586454040531862119678407907485961914062500" // 0x06487ed5110b4610
  #define PRINT_TEST_tau_neg             "-006.283185307179586454040531862119678407907485961914062500" // 0xf9b7812aeef4b9f0
  #define PRINT_TEST_ten                 " 010.000000000000000000000000000000000000000000000000000000" // 0x0a00000000000000
  #define PRINT_TEST_ten_neg             "-010.000000000000000000000000000000000000000000000000000000" // 0xf600000000000000
  #define PRINT_TEST_max                 " 127.999999999999999944488848768742172978818416595458984375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-128.000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                       " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-128.000000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                       " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                       " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                       " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(  11,313708498984760386640857632301049306988716125488281250) // 0x0b504f333f9de648
  // Max was FIXNUM( 127.999999999999999944488848768742172978818416595458984375), sqrt was  011.313708498984759387440135469660162925720214843750000000, difference  000.000000000000000999200722162640886381268501281738281250 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(- 37,429947750237046955046338325701071880757808685302734375) // 0xda91eef1b9be3c44, actual -37.429947750237047899, difference: -7.1054273576010018587e-15 epsilon: 5.55112e-17 larger: 1
  #define FIX_TEST_LN_max                FIXNUM(   4,852030263919616948076196649708435870707035064697265625) // 0x04da1ea7c6bcac44, actual 4.8520302639196168926, difference: 0 epsilon: 5.55112e-17 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(- 54,000000000000000721644966006351751275360584259033203125) // 0xc9ffffffffffffcc, actual -54, difference: 0 epsilon: 5.55112e-17 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(   6,999999999999999278355033993648248724639415740966796875) // 0x06ffffffffffffcc, actual 7, difference: 8.8817841970012523234e-16 epsilon: 5.55112e-17 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIXNUM(- 16,255619765854984692943219215521821752190589904785156250) // 0xefbe8fb3f97110d8, actual -16.255619765854984138, difference: 0 epsilon: 5.55112e-17 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(   2,107209969647868219588815463794162496924400329589843750) // 0x021b721cd17157d8, actual 2.1072099696478683306, difference: 4.4408920985006261617e-16 epsilon: 5.55112e-17 larger: 1
#endif /* FIX_INT_BITS == 8 */
#if FIX_INT_BITS == 9
  #define PRINT_TEST_zero                " 000.00000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000.50000000000000000000000000000000000000000000000000000" // 0x0040000000000000
  #define PRINT_TEST_half_neg            "-000.50000000000000000000000000000000000000000000000000000" // 0xffc0000000000000
  #define PRINT_TEST_one                 " 001.00000000000000000000000000000000000000000000000000000" // 0x0080000000000000
  #define PRINT_TEST_one_neg             "-001.00000000000000000000000000000000000000000000000000000" // 0xff80000000000000
  #define PRINT_TEST_two                 " 002.00000000000000000000000000000000000000000000000000000" // 0x0100000000000000
  #define PRINT_TEST_epsilon             " 000.00000000000000011102230246251565404236316680908203125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 002.71828182845904520181790076094330288469791412353515625" // 0x015bf0a8b1457694
  #define PRINT_TEST_e_neg               "-002.71828182845904520181790076094330288469791412353515625" // 0xfea40f574eba896c
  #define PRINT_TEST_pi                  " 003.14159265358979322702026593105983920395374298095703125" // 0x01921fb54442d184
  #define PRINT_TEST_pi_neg              "-003.14159265358979322702026593105983920395374298095703125" // 0xfe6de04abbbd2e7c
  #define PRINT_TEST_tau                 " 006.28318530717958645404053186211967840790748596191406250" // 0x03243f6a8885a308
  #define PRINT_TEST_tau_neg             "-006.28318530717958645404053186211967840790748596191406250" // 0xfcdbc095777a5cf8
  #define PRINT_TEST_ten                 " 010.00000000000000000000000000000000000000000000000000000" // 0x0500000000000000
  #define PRINT_TEST_ten_neg             "-010.00000000000000000000000000000000000000000000000000000" // 0xfb00000000000000
  #define PRINT_TEST_max                 " 255.99999999999999988897769753748434595763683319091796875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-256.00000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                      " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-256.00000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                      " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                      " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                      " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(  16,00000000000000000000000000000000000000000000000000000) // 0x0800000000000000
  // Max was FIXNUM( 255.99999999999999988897769753748434595763683319091796875), sqrt was  015.99999999999999822364316059974953532218933105468750000, difference  000.00000000000000177635683940025046467781066894531250000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(- 36,73680056967710161330842311144806444644927978515625000) // 0xeda1b084d8c805e0, actual -36.736800569677100725, difference: 0 epsilon: 1.11022e-16 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(   5,54517744447956217879180940144578926265239715576171875) // 0x02c5c85fdf473ddc, actual 5.5451774444795622898, difference: 8.8817841970012523234e-16 epsilon: 1.11022e-16 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIXNUM(- 53,00000000000000066613381477509392425417900085449218750) // 0xe57fffffffffffe8, actual -53, difference: 0 epsilon: 1.11022e-16 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(   7,99999999999999933386618522490607574582099914550781250) // 0x03ffffffffffffe8, actual 8, difference: 8.8817841970012523234e-16 epsilon: 1.11022e-16 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIXNUM(- 15,95458977019100355043690342426998540759086608886718750) // 0xf805d0009df77c68, actual -15.954589770191002884, difference: 0 epsilon: 1.11022e-16 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(   2,40823996531184936209513125504599884152412414550781250) // 0x0134413509f79fe8, actual 2.4082399653118495841, difference: 4.4408920985006261617e-16 epsilon: 1.11022e-16 larger: 1
#endif /* FIX_INT_BITS == 9 */
#if FIX_INT_BITS == 10
  #define PRINT_TEST_zero                " 000.0000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000.5000000000000000000000000000000000000000000000000000" // 0x0020000000000000
  #define PRINT_TEST_half_neg            "-000.5000000000000000000000000000000000000000000000000000" // 0xffe0000000000000
  #define PRINT_TEST_one                 " 001.0000000000000000000000000000000000000000000000000000" // 0x0040000000000000
  #define PRINT_TEST_one_neg             "-001.0000000000000000000000000000000000000000000000000000" // 0xffc0000000000000
  #define PRINT_TEST_two                 " 002.0000000000000000000000000000000000000000000000000000" // 0x0080000000000000
  #define PRINT_TEST_epsilon             " 000.0000000000000002220446049250313080847263336181640625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 002.7182818284590453128402032234589569270610809326171875" // 0x00adf85458a2bb4c
  #define PRINT_TEST_e_neg               "-002.7182818284590453128402032234589569270610809326171875" // 0xff5207aba75d44b4
  #define PRINT_TEST_pi                  " 003.1415926535897933380425683935754932463169097900390625" // 0x00c90fdaa22168c4
  #define PRINT_TEST_pi_neg              "-003.1415926535897933380425683935754932463169097900390625" // 0xff36f0255dde973c
  #define PRINT_TEST_tau                 " 006.2831853071795864540405318621196784079074859619140625" // 0x01921fb54442d184
  #define PRINT_TEST_tau_neg             "-006.2831853071795864540405318621196784079074859619140625" // 0xfe6de04abbbd2e7c
  #define PRINT_TEST_ten                 " 010.0000000000000000000000000000000000000000000000000000" // 0x0280000000000000
  #define PRINT_TEST_ten_neg             "-010.0000000000000000000000000000000000000000000000000000" // 0xfd80000000000000
  #define PRINT_TEST_max                 " 511.9999999999999997779553950749686919152736663818359375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-512.0000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                     " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-512.0000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                     " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                     " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                     " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(  22,6274169979695207732817152646020986139774322509765625) // 0x05a827999fcef324
  // Max was FIXNUM( 511.9999999999999997779553950749686919152736663818359375), sqrt was  022.6274169979695187748802709393203258514404296875000000, difference  000.0000000000000019984014443252817727625370025634765625 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(- 36,0436533891171564381039615909685380756855010986328125) // 0xf6fd34c86a5876cc, actual -36.043653389117153552, difference: 0 epsilon: 2.22045e-16 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(   6,2383246250395074650185733844409696757793426513671875) // 0x018f40b5ed9812cc, actual 6.2383246250395076871, difference: 8.8817841970012523234e-16 epsilon: 2.22045e-16 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIXNUM(- 52,0000000000000006661338147750939242541790008544921875) // 0xf2fffffffffffff4, actual -52, difference: 0 epsilon: 2.22045e-16 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(   8,9999999999999993338661852249060757458209991455078125) // 0x023ffffffffffff4, actual 9, difference: 1.7763568394002504647e-15 epsilon: 2.22045e-16 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIXNUM(- 15,6535597745270222969082851705024950206279754638671875) // 0xfc162c139f9b3834, actual -15.653559774527021631, difference: 0 epsilon: 2.22045e-16 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(   2,7092699609758306156237495088134892284870147705078125) // 0x00ad64add59b49f4, actual 2.7092699609758308377, difference: 4.4408920985006261617e-16 epsilon: 2.22045e-16 larger: 1
#endif /* FIX_INT_BITS == 10 */
#if FIX_INT_BITS == 11
  #define PRINT_TEST_zero                " 0000.000000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000.500000000000000000000000000000000000000000000000000" // 0x0010000000000000
  #define PRINT_TEST_half_neg            "-0000.500000000000000000000000000000000000000000000000000" // 0xfff0000000000000
  #define PRINT_TEST_one                 " 0001.000000000000000000000000000000000000000000000000000" // 0x0020000000000000
  #define PRINT_TEST_one_neg             "-0001.000000000000000000000000000000000000000000000000000" // 0xffe0000000000000
  #define PRINT_TEST_two                 " 0002.000000000000000000000000000000000000000000000000000" // 0x0040000000000000
  #define PRINT_TEST_epsilon             " 0000.000000000000000444089209850062616169452667236328125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0002.718281828459045090795598298427648842334747314453125" // 0x0056fc2a2c515da4
  #define PRINT_TEST_e_neg               "-0002.718281828459045090795598298427648842334747314453125" // 0xffa903d5d3aea25c
  #define PRINT_TEST_pi                  " 0003.141592653589793115997963468544185161590576171875000" // 0x006487ed5110b460
  #define PRINT_TEST_pi_neg              "-0003.141592653589793115997963468544185161590576171875000" // 0xff9b7812aeef4ba0
  #define PRINT_TEST_tau                 " 0006.283185307179586676085136787150986492633819580078125" // 0x00c90fdaa22168c4
  #define PRINT_TEST_tau_neg             "-0006.283185307179586676085136787150986492633819580078125" // 0xff36f0255dde973c
  #define PRINT_TEST_ten                 " 0010.000000000000000000000000000000000000000000000000000" // 0x0140000000000000
  #define PRINT_TEST_ten_neg             "-0010.000000000000000000000000000000000000000000000000000" // 0xfec0000000000000
  #define PRINT_TEST_max                 " 1023.999999999999999555910790149937383830547332763671875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-1024.000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                     " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-1024.000000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                     " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                     " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                     " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(   32,000000000000000000000000000000000000000000000000000) // 0x0400000000000000
  // Max was FIXNUM( 1023.999999999999999555910790149937383830547332763671875), sqrt was  0031.999999999999996447286321199499070644378662109375000, difference  0000.000000000000003552713678800500929355621337890625000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-  35,350506208557211262899500070489011704921722412109375) // 0xfb94c8a734267554, actual -35.350506208557213483, difference: -7.1054273576010018587e-15 epsilon: 4.44089e-16 larger: 1
  #define FIX_TEST_LN_max                FIXNUM(    6,931471805599452640223034904920496046543121337890625) // 0x00ddce9df5c64354, actual 6.9314718055994530843, difference: 8.8817841970012523234e-16 epsilon: 4.44089e-16 larger: 1
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-  51,000000000000000888178419700125232338905334472656250) // 0xf99ffffffffffff8, actual -51, difference: 0 epsilon: 4.44089e-16 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(    9,999999999999999111821580299874767661094665527343750) // 0x013ffffffffffff8, actual 10, difference: 1.7763568394002504647e-15 epsilon: 4.44089e-16 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-  15,352529778863041265424271841766312718391418457031250) // 0xfe14b813781d5918, actual -15.352529778863040377, difference: 0 epsilon: 4.44089e-16 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(    3,010299956639811647107762837549671530723571777343750) // 0x00605460931d61f8, actual 3.0102999566398120912, difference: 4.4408920985006261617e-16 epsilon: 4.44089e-16 larger: 0
#endif /* FIX_INT_BITS == 11 */
#if FIX_INT_BITS == 12
  #define PRINT_TEST_zero                " 0000.00000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000.50000000000000000000000000000000000000000000000000" // 0x0008000000000000
  #define PRINT_TEST_half_neg            "-0000.50000000000000000000000000000000000000000000000000" // 0xfff8000000000000
  #define PRINT_TEST_one                 " 0001.00000000000000000000000000000000000000000000000000" // 0x0010000000000000
  #define PRINT_TEST_one_neg             "-0001.00000000000000000000000000000000000000000000000000" // 0xfff0000000000000
  #define PRINT_TEST_two                 " 0002.00000000000000000000000000000000000000000000000000" // 0x0020000000000000
  #define PRINT_TEST_epsilon             " 0000.00000000000000088817841970012523233890533447265625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0002.71828182845904553488480814849026501178741455078125" // 0x002b7e151628aed4
  #define PRINT_TEST_e_neg               "-0002.71828182845904553488480814849026501178741455078125" // 0xffd481eae9d7512c
  #define PRINT_TEST_pi                  " 0003.14159265358979311599796346854418516159057617187500" // 0x003243f6a8885a30
  #define PRINT_TEST_pi_neg              "-0003.14159265358979311599796346854418516159057617187500" // 0xffcdbc095777a5d0
  #define PRINT_TEST_tau                 " 0006.28318530717958623199592693708837032318115234375000" // 0x006487ed5110b460
  #define PRINT_TEST_tau_neg             "-0006.28318530717958623199592693708837032318115234375000" // 0xff9b7812aeef4ba0
  #define PRINT_TEST_ten                 " 0010.00000000000000000000000000000000000000000000000000" // 0x00a0000000000000
  #define PRINT_TEST_ten_neg             "-0010.00000000000000000000000000000000000000000000000000" // 0xff60000000000000
  #define PRINT_TEST_max                 " 2047.99999999999999911182158029987476766109466552734375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-2048.00000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                    " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-2048.00000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                    " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                    " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                    " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(   45,25483399593904199065264037926681339740753173828125) // 0x02d413cccfe77994
  // Max was FIXNUM( 2047.99999999999999911182158029987476766109466552734375), sqrt was  0045.25483399593903754976054187864065170288085937500000, difference  0000.00000000000000444089209850062616169452667236328125 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-  34,65735902799726542156122377491556107997894287109375) // 0xfdd57b75199057a4, actual -34.65735902799726631, difference: -7.1054273576010018587e-15 epsilon: 8.88178e-16 larger: 1
  #define FIX_TEST_LN_max                FIXNUM(    7,62461898615939848156131120049394667148590087890625) // 0x0079fe707a603ea4, actual 7.6246189861593984816, difference: 0 epsilon: 8.88178e-16 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-  50,00000000000000088817841970012523233890533447265625) // 0xfcdffffffffffffc, actual -50, difference: 0 epsilon: 8.88178e-16 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(   10,99999999999999911182158029987476766109466552734375) // 0x00affffffffffffc, actual 11, difference: 1.7763568394002504647e-15 epsilon: 8.88178e-16 larger: 1
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-  15,05149978319906001189565358799882233142852783203125) // 0xff0f2d0e90368b0c, actual -15.051499783199059124, difference: 0 epsilon: 8.88178e-16 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(    3,31132995230379290063638109131716191768646240234375) // 0x0034fb351db68f7c, actual 3.3113299523037929006, difference: 0 epsilon: 8.88178e-16 larger: 0
#endif /* FIX_INT_BITS == 12 */
#if FIX_INT_BITS == 13
  #define PRINT_TEST_zero                " 0000.0000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000.5000000000000000000000000000000000000000000000000" // 0x0004000000000000
  #define PRINT_TEST_half_neg            "-0000.5000000000000000000000000000000000000000000000000" // 0xfffc000000000000
  #define PRINT_TEST_one                 " 0001.0000000000000000000000000000000000000000000000000" // 0x0008000000000000
  #define PRINT_TEST_one_neg             "-0001.0000000000000000000000000000000000000000000000000" // 0xfff8000000000000
  #define PRINT_TEST_two                 " 0002.0000000000000000000000000000000000000000000000000" // 0x0010000000000000
  #define PRINT_TEST_epsilon             " 0000.0000000000000017763568394002504646778106689453125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0002.7182818284590446467063884483650326728820800781250" // 0x0015bf0a8b145768
  #define PRINT_TEST_e_neg               "-0002.7182818284590446467063884483650326728820800781250" // 0xffea40f574eba898
  #define PRINT_TEST_pi                  " 0003.1415926535897931159979634685441851615905761718750" // 0x001921fb54442d18
  #define PRINT_TEST_pi_neg              "-0003.1415926535897931159979634685441851615905761718750" // 0xffe6de04abbbd2e8
  #define PRINT_TEST_tau                 " 0006.2831853071795862319959269370883703231811523437500" // 0x003243f6a8885a30
  #define PRINT_TEST_tau_neg             "-0006.2831853071795862319959269370883703231811523437500" // 0xffcdbc095777a5d0
  #define PRINT_TEST_ten                 " 0010.0000000000000000000000000000000000000000000000000" // 0x0050000000000000
  #define PRINT_TEST_ten_neg             "-0010.0000000000000000000000000000000000000000000000000" // 0xffb0000000000000
  #define PRINT_TEST_max                 " 4095.9999999999999982236431605997495353221893310546875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-4096.0000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                   " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-4096.0000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                   " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                   " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                   " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(   64,0000000000000000000000000000000000000000000000000) // 0x0200000000000000
  // Max was FIXNUM( 4095.9999999999999982236431605997495353221893310546875), sqrt was  0063.9999999999999928945726423989981412887573242187500, difference  0000.0000000000000071054273576010018587112426757812500 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-  33,9642118474373209124905770295299589633941650390625) // 0xfef0494b4c86ba4c, actual -33.964211847437319136, difference: 0 epsilon: 1.77636e-15 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(    8,3177661667193429906319579458795487880706787109375) // 0x00428ac8fceeadcc, actual 8.3177661667193429906, difference: 0 epsilon: 1.77636e-15 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-  49,0000000000000000000000000000000000000000000000000) // 0xfe78000000000000, actual -49, difference: 0 epsilon: 1.77636e-15 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(   12,0000000000000000000000000000000000000000000000000) // 0x0060000000000000, actual 12, difference: 0 epsilon: 1.77636e-15 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-  14,7504697875350796465454550343565642833709716796875) // 0xff89ff09b22f34c4, actual -14.75046978753507787, difference: 1.7763568394002504647e-15 epsilon: 1.77636e-15 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(    3,6123599479677732659865796449594199657440185546875) // 0x001ce61cf8ef36fc, actual 3.6123599479677741542, difference: 8.8817841970012523234e-16 epsilon: 1.77636e-15 larger: 0
#endif /* FIX_INT_BITS == 13 */
#if FIX_INT_BITS == 14
  #define PRINT_TEST_zero                " 0000.000000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000.500000000000000000000000000000000000000000000000" // 0x0002000000000000
  #define PRINT_TEST_half_neg            "-0000.500000000000000000000000000000000000000000000000" // 0xfffe000000000000
  #define PRINT_TEST_one                 " 0001.000000000000000000000000000000000000000000000000" // 0x0004000000000000
  #define PRINT_TEST_one_neg             "-0001.000000000000000000000000000000000000000000000000" // 0xfffc000000000000
  #define PRINT_TEST_two                 " 0002.000000000000000000000000000000000000000000000000" // 0x0008000000000000
  #define PRINT_TEST_epsilon             " 0000.000000000000003552713678800500929355621337890625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0002.718281828459044646706388448365032672882080078125" // 0x000adf85458a2bb4
  #define PRINT_TEST_e_neg               "-0002.718281828459044646706388448365032672882080078125" // 0xfff5207aba75d44c
  #define PRINT_TEST_pi                  " 0003.141592653589793115997963468544185161590576171875" // 0x000c90fdaa22168c
  #define PRINT_TEST_pi_neg              "-0003.141592653589793115997963468544185161590576171875" // 0xfff36f0255dde974
  #define PRINT_TEST_tau                 " 0006.283185307179586231995926937088370323181152343750" // 0x001921fb54442d18
  #define PRINT_TEST_tau_neg             "-0006.283185307179586231995926937088370323181152343750" // 0xffe6de04abbbd2e8
  #define PRINT_TEST_ten                 " 0010.000000000000000000000000000000000000000000000000" // 0x0028000000000000
  #define PRINT_TEST_ten_neg             "-0010.000000000000000000000000000000000000000000000000" // 0xffd8000000000000
  #define PRINT_TEST_max                 " 8191.999999999999996447286321199499070644378662109375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-8192.000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                  " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-8192.000000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                  " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                  " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                  " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(   90,509667991878082204948441358283162117004394531250) // 0x016a09e667f3bcc8
  // Max was FIXNUM( 8191.999999999999996447286321199499070644378662109375), sqrt was  0090.509667991878075099521083757281303405761718750000, difference  0000.000000000000007105427357601001858711242675781250 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-  33,271064666877375515241510584019124507904052734375) // 0xff7aea6e0622a464, actual -33.271064666877371963, difference: 0 epsilon: 3.55271e-15 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(    9,010913347279288387881024391390383243560791015625) // 0x00240b2cde569e24, actual 9.0109133472792883879, difference: 0 epsilon: 3.55271e-15 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-  48,000000000000000000000000000000000000000000000000) // 0xff40000000000000, actual -48, difference: 0 epsilon: 3.55271e-15 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(   13,000000000000000000000000000000000000000000000000) // 0x0034000000000000, actual 13, difference: 0 epsilon: 3.55271e-15 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-  14,449439791871100169373676180839538574218750000000) // 0xffc633c60e219200, actual -14.449439791871096617, difference: 3.5527136788005009294e-15 epsilon: 3.55271e-15 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(    3,913389943631752743158358498476445674896240234375) // 0x000fa74fb181931c, actual 3.9133899436317554077, difference: 2.664535259100375697e-15 epsilon: 3.55271e-15 larger: 0
#endif /* FIX_INT_BITS == 14 */
#if FIX_INT_BITS == 15
  #define PRINT_TEST_zero                " 00000.00000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000.50000000000000000000000000000000000000000000000" // 0x0001000000000000
  #define PRINT_TEST_half_neg            "-00000.50000000000000000000000000000000000000000000000" // 0xffff000000000000
  #define PRINT_TEST_one                 " 00001.00000000000000000000000000000000000000000000000" // 0x0002000000000000
  #define PRINT_TEST_one_neg             "-00001.00000000000000000000000000000000000000000000000" // 0xfffe000000000000
  #define PRINT_TEST_two                 " 00002.00000000000000000000000000000000000000000000000" // 0x0004000000000000
  #define PRINT_TEST_epsilon             " 00000.00000000000000710542735760100185871124267578125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00002.71828182845904819942006724886596202850341796875" // 0x00056fc2a2c515dc
  #define PRINT_TEST_e_neg               "-00002.71828182845904819942006724886596202850341796875" // 0xfffa903d5d3aea24
  #define PRINT_TEST_pi                  " 00003.14159265358979666871164226904511451721191406250" // 0x0006487ed5110b48
  #define PRINT_TEST_pi_neg              "-00003.14159265358979666871164226904511451721191406250" // 0xfff9b7812aeef4b8
  #define PRINT_TEST_tau                 " 00006.28318530717958623199592693708837032318115234375" // 0x000c90fdaa22168c
  #define PRINT_TEST_tau_neg             "-00006.28318530717958623199592693708837032318115234375" // 0xfff36f0255dde974
  #define PRINT_TEST_ten                 " 00010.00000000000000000000000000000000000000000000000" // 0x0014000000000000
  #define PRINT_TEST_ten_neg             "-00010.00000000000000000000000000000000000000000000000" // 0xffec000000000000
  #define PRINT_TEST_max                 " 16383.99999999999999289457264239899814128875732421875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-16384.00000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                  " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-16384.00000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                  " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                  " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                  " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(   128,00000000000000000000000000000000000000000000000) // 0x0100000000000000
  // Max was FIXNUM( 16383.99999999999999289457264239899814128875732421875), sqrt was  00127.99999999999998578914528479799628257751464843750, difference  00000.00000000000001421085471520200371742248535156250 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-   32,57791748631743189434928353875875473022460937500) // 0xffbed81b3300f5d0, actual -32.577917486317431894, difference: 0 epsilon: 7.10543e-15 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(     9,70406052783923200877325143665075302124023437500) // 0x0013687a9f1af2b0, actual 9.7040605278392337851, difference: 1.7763568394002504647e-15 epsilon: 7.10543e-15 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-   47,00000000000000000000000000000000000000000000000) // 0xffa2000000000000, actual -47, difference: 0 epsilon: 7.10543e-15 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(    14,00000000000000000000000000000000000000000000000) // 0x001c000000000000, actual 14, difference: 0 epsilon: 7.10543e-15 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-   14,14840979620711891584505792707204818725585937500) // 0xffe3b403a195c4d0, actual -14.148409796207115363, difference: 3.5527136788005009294e-15 epsilon: 7.10543e-15 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(     4,21441993929573754940065555274486541748046875000) // 0x00086dc87345c560, actual 4.2144199392957366612, difference: -8.8817841970012523234e-16 epsilon: 7.10543e-15 larger: 0
#endif /* FIX_INT_BITS == 15 */
#if FIX_INT_BITS == 16
  #define PRINT_TEST_zero                " 00000.0000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000.5000000000000000000000000000000000000000000000" // 0x0000800000000000
  #define PRINT_TEST_half_neg            "-00000.5000000000000000000000000000000000000000000000" // 0xffff800000000000
  #define PRINT_TEST_one                 " 00001.0000000000000000000000000000000000000000000000" // 0x0001000000000000
  #define PRINT_TEST_one_neg             "-00001.0000000000000000000000000000000000000000000000" // 0xffff000000000000
  #define PRINT_TEST_two                 " 00002.0000000000000000000000000000000000000000000000" // 0x0002000000000000
  #define PRINT_TEST_epsilon             " 00000.0000000000000142108547152020037174224853515625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00002.7182818284590410939927096478641033172607421875" // 0x0002b7e151628aec
  #define PRINT_TEST_e_neg               "-00002.7182818284590410939927096478641033172607421875" // 0xfffd481eae9d7514
  #define PRINT_TEST_pi                  " 00003.1415926535897966687116422690451145172119140625" // 0x0003243f6a8885a4
  #define PRINT_TEST_pi_neg              "-00003.1415926535897966687116422690451145172119140625" // 0xfffcdbc095777a5c
  #define PRINT_TEST_tau                 " 00006.2831853071795933374232845380902290344238281250" // 0x0006487ed5110b48
  #define PRINT_TEST_tau_neg             "-00006.2831853071795933374232845380902290344238281250" // 0xfff9b7812aeef4b8
  #define PRINT_TEST_ten                 " 00010.0000000000000000000000000000000000000000000000" // 0x000a000000000000
  #define PRINT_TEST_ten_neg             "-00010.0000000000000000000000000000000000000000000000" // 0xfff6000000000000
  #define PRINT_TEST_max                 " 32767.9999999999999857891452847979962825775146484375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-32768.0000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                 " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-32768.0000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                 " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                 " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                 " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(   181,0193359837561644098968827165663242340087890625) // 0x00b504f333f9de64
  // Max was FIXNUM( 32767.9999999999999857891452847979962825775146484375), sqrt was  00181.0193359837561501990421675145626068115234375000, difference  00000.0000000000000142108547152020037174224853515625 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-   31,8847703057574847207433776929974555969238281250) // 0xffe01d7fb1784cb8, actual -31.884770305757484721, difference: 0 epsilon: 1.42109e-14 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(    10,3972077083991791823791572824120521545410156250) // 0x000a65af67854b28, actual 10.397207708399179182, difference: 0 epsilon: 1.42109e-14 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-   46,0000000000000000000000000000000000000000000000) // 0xffd2000000000000, actual -46, difference: 0 epsilon: 1.42109e-14 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(    15,0000000000000000000000000000000000000000000000) // 0x000f000000000000, actual 15, difference: 0 epsilon: 1.42109e-14 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-   13,8473798005431376623164396733045578002929687500) // 0xfff227121e0d6050, actual -13.84737980054313411, difference: 3.5527136788005009294e-15 epsilon: 1.42109e-14 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(     4,5154499349597188029292738065123558044433593750) // 0x000483f486e56098, actual 4.5154499349597179148, difference: -8.8817841970012523234e-16 epsilon: 1.42109e-14 larger: 0
#endif /* FIX_INT_BITS == 16 */
#if FIX_INT_BITS == 17
  #define PRINT_TEST_zero                " 00000.000000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000.500000000000000000000000000000000000000000000" // 0x0000400000000000
  #define PRINT_TEST_half_neg            "-00000.500000000000000000000000000000000000000000000" // 0xffffc00000000000
  #define PRINT_TEST_one                 " 00001.000000000000000000000000000000000000000000000" // 0x0000800000000000
  #define PRINT_TEST_one_neg             "-00001.000000000000000000000000000000000000000000000" // 0xffff800000000000
  #define PRINT_TEST_two                 " 00002.000000000000000000000000000000000000000000000" // 0x0001000000000000
  #define PRINT_TEST_epsilon             " 00000.000000000000028421709430404007434844970703125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00002.718281828459055304847424849867820739746093750" // 0x00015bf0a8b14578
  #define PRINT_TEST_e_neg               "-00002.718281828459055304847424849867820739746093750" // 0xfffea40f574eba88
  #define PRINT_TEST_pi                  " 00003.141592653589782457856927067041397094726562500" // 0x0001921fb54442d0
  #define PRINT_TEST_pi_neg              "-00003.141592653589782457856927067041397094726562500" // 0xfffe6de04abbbd30
  #define PRINT_TEST_tau                 " 00006.283185307179593337423284538090229034423828125" // 0x0003243f6a8885a4
  #define PRINT_TEST_tau_neg             "-00006.283185307179593337423284538090229034423828125" // 0xfffcdbc095777a5c
  #define PRINT_TEST_ten                 " 00010.000000000000000000000000000000000000000000000" // 0x0005000000000000
  #define PRINT_TEST_ten_neg             "-00010.000000000000000000000000000000000000000000000" // 0xfffb000000000000
  #define PRINT_TEST_max                 " 65535.999999999999971578290569595992565155029296875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-65536.000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-65536.000000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(   256,000000000000000000000000000000000000000000000) // 0x0080000000000000
  // Max was FIXNUM( 65535.999999999999971578290569595992565155029296875), sqrt was  00255.999999999999971578290569595992565155029296875, difference  00000.000000000000028421709430404007434844970703125 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-   31,191623125197537547137471847236156463623046875) // 0xfff06778e4b80f44, actual -31.191623125197537547, difference: 0 epsilon: 2.84217e-14 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(    11,090354888959126355985063128173351287841796875) // 0x00058b90bfbe8e7c, actual 11.09035488895912458, difference: -1.7763568394002504647e-15 epsilon: 2.84217e-14 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-   45,000000000000000000000000000000000000000000000) // 0xffe9800000000000, actual -45, difference: 0 epsilon: 2.84217e-14 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(    16,000000000000000000000000000000000000000000000) // 0x0008000000000000, actual 16, difference: 0 epsilon: 2.84217e-14 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-   13,546349804879156408787821419537067413330078125) // 0xfff93a1135a7ef1c, actual -13.546349804879154632, difference: 1.7763568394002504647e-15 epsilon: 2.84217e-14 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(     4,816479930623700056457892060279846191406250000) // 0x000268826a13ef40, actual 4.8164799306236991683, difference: -8.8817841970012523234e-16 epsilon: 2.84217e-14 larger: 0
#endif /* FIX_INT_BITS == 17 */
#if FIX_INT_BITS == 18
  #define PRINT_TEST_zero                " 000000.00000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000.50000000000000000000000000000000000000000000" // 0x0000200000000000
  #define PRINT_TEST_half_neg            "-000000.50000000000000000000000000000000000000000000" // 0xffffe00000000000
  #define PRINT_TEST_one                 " 000001.00000000000000000000000000000000000000000000" // 0x0000400000000000
  #define PRINT_TEST_one_neg             "-000001.00000000000000000000000000000000000000000000" // 0xffffc00000000000
  #define PRINT_TEST_two                 " 000002.00000000000000000000000000000000000000000000" // 0x0000800000000000
  #define PRINT_TEST_epsilon             " 000000.00000000000005684341886080801486968994140625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000002.71828182845905530484742484986782073974609375" // 0x0000adf85458a2bc
  #define PRINT_TEST_e_neg               "-000002.71828182845905530484742484986782073974609375" // 0xffff5207aba75d44
  #define PRINT_TEST_pi                  " 000003.14159265358978245785692706704139709472656250" // 0x0000c90fdaa22168
  #define PRINT_TEST_pi_neg              "-000003.14159265358978245785692706704139709472656250" // 0xffff36f0255dde98
  #define PRINT_TEST_tau                 " 000006.28318530717956491571385413408279418945312500" // 0x0001921fb54442d0
  #define PRINT_TEST_tau_neg             "-000006.28318530717956491571385413408279418945312500" // 0xfffe6de04abbbd30
  #define PRINT_TEST_ten                 " 000010.00000000000000000000000000000000000000000000" // 0x0002800000000000
  #define PRINT_TEST_ten_neg             "-000010.00000000000000000000000000000000000000000000" // 0xfffd800000000000
  #define PRINT_TEST_max                 " 131071.99999999999994315658113919198513031005859375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-131072.00000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                                " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-131072.00000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                                " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                                " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                                " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(    362,03867196751230039808433502912521362304687500) // 0x005a827999fcef30
  // Max was FIXNUM( 131071.99999999999994315658113919198513031005859375), sqrt was  000362.03867196751230039808433502912521362304687500, difference  000000.00000000000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-    30,49847594463761879524099640548229217529296875) // 0xfff86018f859fc14, actual -30.498475944637593926, difference: 2.4868995751603506505e-14 epsilon: 5.68434e-14 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(     11,78350206951904510788153856992721557617187500) // 0x0002f224e5dd3bb0, actual 11.783502069519069977, difference: 2.4868995751603506505e-14 epsilon: 5.68434e-14 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-    44,00000000000000000000000000000000000000000000) // 0xfff5000000000000, actual -44, difference: 0 epsilon: 5.68434e-14 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(     17,00000000000000000000000000000000000000000000) // 0x0004400000000000, actual 17, difference: 0 epsilon: 5.68434e-14 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-    13,24531980921517515525920316576957702636718750) // 0xfffcb04cae249708, actual -13.245319809215173379, difference: 1.7763568394002504647e-15 epsilon: 5.68434e-14 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(      5,11750992628765288827707991003990173339843750) // 0x00014785485a9718, actual 5.1175099262876804218, difference: 2.7533531010703882203e-14 epsilon: 5.68434e-14 larger: 0
#endif /* FIX_INT_BITS == 18 */
#if FIX_INT_BITS == 19
  #define PRINT_TEST_zero                " 000000.0000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000.5000000000000000000000000000000000000000000" // 0x0000100000000000
  #define PRINT_TEST_half_neg            "-000000.5000000000000000000000000000000000000000000" // 0xfffff00000000000
  #define PRINT_TEST_one                 " 000001.0000000000000000000000000000000000000000000" // 0x0000200000000000
  #define PRINT_TEST_one_neg             "-000001.0000000000000000000000000000000000000000000" // 0xffffe00000000000
  #define PRINT_TEST_two                 " 000002.0000000000000000000000000000000000000000000" // 0x0000400000000000
  #define PRINT_TEST_epsilon             " 000000.0000000000001136868377216160297393798828125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000002.7182818284589984614285640418529510498046875" // 0x000056fc2a2c515c
  #define PRINT_TEST_e_neg               "-000002.7182818284589984614285640418529510498046875" // 0xffffa903d5d3aea4
  #define PRINT_TEST_pi                  " 000003.1415926535897824578569270670413970947265625" // 0x00006487ed5110b4
  #define PRINT_TEST_pi_neg              "-000003.1415926535897824578569270670413970947265625" // 0xffff9b7812aeef4c
  #define PRINT_TEST_tau                 " 000006.2831853071795649157138541340827941894531250" // 0x0000c90fdaa22168
  #define PRINT_TEST_tau_neg             "-000006.2831853071795649157138541340827941894531250" // 0xffff36f0255dde98
  #define PRINT_TEST_ten                 " 000010.0000000000000000000000000000000000000000000" // 0x0001400000000000
  #define PRINT_TEST_ten_neg             "-000010.0000000000000000000000000000000000000000000" // 0xfffec00000000000
  #define PRINT_TEST_max                 " 262143.9999999999998863131622783839702606201171875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-262144.0000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                               " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-262144.0000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                               " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                               " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                               " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(    512,0000000000000000000000000000000000000000000) // 0x0040000000000000
  // Max was FIXNUM( 262143.9999999999998863131622783839702606201171875), sqrt was  000512.0000000000000000000000000000000000000000000, difference  000000.0000000000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-    29,8053287640776716216350905597209930419921875) // 0xfffc463abf2bf844, actual -29.805328764077646753, difference: 2.4868995751603506505e-14 epsilon: 1.13687e-13 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(     12,4766492500789354380685836076736450195312500) // 0x00018f40b5ed9810, actual 12.476649250079015374, difference: 7.9936057773011270911e-14 epsilon: 1.13687e-13 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-    43,0000000000000000000000000000000000000000000) // 0xfffaa00000000000, actual -43, difference: 0 epsilon: 1.13687e-13 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(     18,0000000000000000000000000000000000000000000) // 0x0002400000000000, actual 18, difference: 0 epsilon: 1.13687e-13 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-    12,9442898135512223234400153160095214843750000) // 0xfffe61c860ba9b40, actual -12.944289813551192125, difference: 3.01980662698042579e-14 epsilon: 1.13687e-13 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(      5,4185399219516057200962677597999572753906250) // 0x0000ad64add59b48, actual 5.4185399219516616753, difference: 5.5955240441107889637e-14 epsilon: 1.13687e-13 larger: 0
#endif /* FIX_INT_BITS == 19 */
#if FIX_INT_BITS == 20
  #define PRINT_TEST_zero                " 000000.000000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000.500000000000000000000000000000000000000000" // 0x0000080000000000
  #define PRINT_TEST_half_neg            "-000000.500000000000000000000000000000000000000000" // 0xfffff80000000000
  #define PRINT_TEST_one                 " 000001.000000000000000000000000000000000000000000" // 0x0000100000000000
  #define PRINT_TEST_one_neg             "-000001.000000000000000000000000000000000000000000" // 0xfffff00000000000
  #define PRINT_TEST_two                 " 000002.000000000000000000000000000000000000000000" // 0x0000200000000000
  #define PRINT_TEST_epsilon             " 000000.000000000000227373675443232059478759765625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000002.718281828459112148266285657882690429687500" // 0x00002b7e151628b0
  #define PRINT_TEST_e_neg               "-000002.718281828459112148266285657882690429687500" // 0xffffd481eae9d750
  #define PRINT_TEST_pi                  " 000003.141592653589896144694648683071136474609375" // 0x00003243f6a8885c
  #define PRINT_TEST_pi_neg              "-000003.141592653589896144694648683071136474609375" // 0xffffcdbc095777a4
  #define PRINT_TEST_tau                 " 000006.283185307179564915713854134082794189453125" // 0x00006487ed5110b4
  #define PRINT_TEST_tau_neg             "-000006.283185307179564915713854134082794189453125" // 0xffff9b7812aeef4c
  #define PRINT_TEST_ten                 " 000010.000000000000000000000000000000000000000000" // 0x0000a00000000000
  #define PRINT_TEST_ten_neg             "-000010.000000000000000000000000000000000000000000" // 0xffff600000000000
  #define PRINT_TEST_max                 " 524287.999999999999772626324556767940521240234375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-524288.000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                              " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-524288.000000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                              " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                              " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                              " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(    724,077343935024600796168670058250427246093750) // 0x002d413cccfe7798
  // Max was FIXNUM( 524287.999999999999772626324556767940521240234375), sqrt was  000724.077343935024600796168670058250427246093750, difference  000000.000000000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-    29,112181583517894978285767138004302978515625) // 0xfffe2e348115793c, actual -29.112181583517703132, difference: 1.9184653865522705019e-13 epsilon: 2.27374e-13 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(     13,169796430638825768255628645420074462890625) // 0x0000d2b77c764924, actual 13.169796430638960771, difference: 1.3500311979441903532e-13 epsilon: 2.27374e-13 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-    42,000000000000000000000000000000000000000000) // 0xfffd600000000000, actual -42, difference: 0 epsilon: 2.27374e-13 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(     19,000000000000000000000000000000000000000000) // 0x0001300000000000, actual 19, difference: 0 epsilon: 2.27374e-13 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-    12,643259817887383178458549082279205322265625) // 0xffff35b53531757c, actual -12.643259817887210872, difference: 1.7230661342182429507e-13 epsilon: 2.27374e-13 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(      5,719569917615444865077733993530273437500000) // 0x00005b835bbef580, actual 5.7195699176156429289, difference: 1.9806378759312792681e-13 epsilon: 2.27374e-13 larger: 0
#endif /* FIX_INT_BITS == 20 */
#if FIX_INT_BITS == 21
  #define PRINT_TEST_zero                " 0000000.00000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000.50000000000000000000000000000000000000000" // 0x0000040000000000
  #define PRINT_TEST_half_neg            "-0000000.50000000000000000000000000000000000000000" // 0xfffffc0000000000
  #define PRINT_TEST_one                 " 0000001.00000000000000000000000000000000000000000" // 0x0000080000000000
  #define PRINT_TEST_one_neg             "-0000001.00000000000000000000000000000000000000000" // 0xfffff80000000000
  #define PRINT_TEST_two                 " 0000002.00000000000000000000000000000000000000000" // 0x0000100000000000
  #define PRINT_TEST_epsilon             " 0000000.00000000000045474735088646411895751953125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000002.71828182845911214826628565788269042968750" // 0x000015bf0a8b1458
  #define PRINT_TEST_e_neg               "-0000002.71828182845911214826628565788269042968750" // 0xffffea40f574eba8
  #define PRINT_TEST_pi                  " 0000003.14159265358966877101920545101165771484375" // 0x00001921fb54442c
  #define PRINT_TEST_pi_neg              "-0000003.14159265358966877101920545101165771484375" // 0xffffe6de04abbbd4
  #define PRINT_TEST_tau                 " 0000006.28318530717979228938929736614227294921875" // 0x00003243f6a8885c
  #define PRINT_TEST_tau_neg             "-0000006.28318530717979228938929736614227294921875" // 0xffffcdbc095777a4
  #define PRINT_TEST_ten                 " 0000010.00000000000000000000000000000000000000000" // 0x0000500000000000
  #define PRINT_TEST_ten_neg             "-0000010.00000000000000000000000000000000000000000" // 0xffffb00000000000
  #define PRINT_TEST_max                 " 1048575.99999999999954525264911353588104248046875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-1048576.00000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                              " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-1048576.00000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                              " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                              " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                              " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(    1024,00000000000000000000000000000000000000000) // 0x0020000000000000
  // Max was FIXNUM( 1048575.99999999999954525264911353588104248046875), sqrt was  0001024.00000000000000000000000000000000000000000, difference  0000000.00000000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-     28,41903440295800464809872210025787353515625) // 0xffff1ca5d14a7b2c, actual -28.419034402957755958, difference: 2.4868995751603506505e-13 epsilon: 4.54747e-13 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(      13,86294361119871609844267368316650390625000) // 0x00006ee74efae320, actual 13.862943611198906169, difference: 1.9007018181582679972e-13 epsilon: 4.54747e-13 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-     41,00000000000000000000000000000000000000000) // 0xfffeb80000000000, actual -41, difference: 0 epsilon: 4.54747e-13 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(      20,00000000000000000000000000000000000000000) // 0x0000a00000000000, actual 20, difference: 0 epsilon: 4.54747e-13 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-     12,34222982222354403347708284854888916015625) // 0xffff9d431d02ceac, actual -12.342229822223229618, difference: 3.1441516057384433225e-13 epsilon: 4.54747e-13 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(       6,02059991327951138373464345932006835937500) // 0x0000302a30498eb0, actual 6.0205999132796241824, difference: 1.1279865930191590451e-13 epsilon: 4.54747e-13 larger: 0
#endif /* FIX_INT_BITS == 21 */
#if FIX_INT_BITS == 22
  #define PRINT_TEST_zero                " 0000000.0000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000.5000000000000000000000000000000000000000" // 0x0000020000000000
  #define PRINT_TEST_half_neg            "-0000000.5000000000000000000000000000000000000000" // 0xfffffe0000000000
  #define PRINT_TEST_one                 " 0000001.0000000000000000000000000000000000000000" // 0x0000040000000000
  #define PRINT_TEST_one_neg             "-0000001.0000000000000000000000000000000000000000" // 0xfffffc0000000000
  #define PRINT_TEST_two                 " 0000002.0000000000000000000000000000000000000000" // 0x0000080000000000
  #define PRINT_TEST_epsilon             " 0000000.0000000000009094947017729282379150390625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000002.7182818284591121482662856578826904296875" // 0x00000adf85458a2c
  #define PRINT_TEST_e_neg               "-0000002.7182818284591121482662856578826904296875" // 0xfffff5207aba75d4
  #define PRINT_TEST_pi                  " 0000003.1415926535901235183700919151306152343750" // 0x00000c90fdaa2218
  #define PRINT_TEST_pi_neg              "-0000003.1415926535901235183700919151306152343750" // 0xfffff36f0255dde8
  #define PRINT_TEST_tau                 " 0000006.2831853071793375420384109020233154296875" // 0x00001921fb54442c
  #define PRINT_TEST_tau_neg             "-0000006.2831853071793375420384109020233154296875" // 0xffffe6de04abbbd4
  #define PRINT_TEST_ten                 " 0000010.0000000000000000000000000000000000000000" // 0x0000280000000000
  #define PRINT_TEST_ten_neg             "-0000010.0000000000000000000000000000000000000000" // 0xffffd80000000000
  #define PRINT_TEST_max                 " 2097151.9999999999990905052982270717620849609375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-2097152.0000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                             " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-2097152.0000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                             " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                             " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                             " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(    1448,1546878700492015923373401165008544921875) // 0x0016a09e667f3bcc
  // Max was FIXNUM( 2097151.9999999999990905052982270717620849609375), sqrt was  0001448.1546878700492015923373401165008544921875, difference  0000000.0000000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-     27,7258872223983416915871202945709228515625) // 0xffff9118b1051cdc, actual -27.725887222397812337, difference: 5.2935433814127463847e-13 epsilon: 9.09495e-13 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(      14,5560907917588338023051619529724121093750) // 0x00003a396fdd50d8, actual 14.556090791758851566, difference: 1.7763568394002504647e-14 epsilon: 9.09495e-13 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-     40,0000000000000000000000000000000000000000) // 0xffff600000000000, actual -40, difference: 0 epsilon: 9.09495e-13 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(      21,0000000000000000000000000000000000000000) // 0x0000540000000000, actual 21, difference: 0 epsilon: 9.09495e-13 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-     12,0411998265599322621710598468780517578125) // 0xffffcfd5cfb6714c, actual -12.041199826559248365, difference: 6.838973831690964289e-13 epsilon: 9.09495e-13 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(       6,3216299089435779023915529251098632812500) // 0x000019495959d150, actual 6.3216299089436054359, difference: 2.7533531010703882203e-14 epsilon: 9.09495e-13 larger: 0
#endif /* FIX_INT_BITS == 22 */
#if FIX_INT_BITS == 23
  #define PRINT_TEST_zero                " 0000000.000000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000.500000000000000000000000000000000000000" // 0x0000010000000000
  #define PRINT_TEST_half_neg            "-0000000.500000000000000000000000000000000000000" // 0xffffff0000000000
  #define PRINT_TEST_one                 " 0000001.000000000000000000000000000000000000000" // 0x0000020000000000
  #define PRINT_TEST_one_neg             "-0000001.000000000000000000000000000000000000000" // 0xfffffe0000000000
  #define PRINT_TEST_two                 " 0000002.000000000000000000000000000000000000000" // 0x0000040000000000
  #define PRINT_TEST_epsilon             " 0000000.000000000001818989403545856475830078125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000002.718281828458202653564512729644775390625" // 0x0000056fc2a2c514
  #define PRINT_TEST_e_neg               "-0000002.718281828458202653564512729644775390625" // 0xfffffa903d5d3aec
  #define PRINT_TEST_pi                  " 0000003.141592653590123518370091915130615234375" // 0x000006487ed5110c
  #define PRINT_TEST_pi_neg              "-0000003.141592653590123518370091915130615234375" // 0xfffff9b7812aeef4
  #define PRINT_TEST_tau                 " 0000006.283185307180247036740183830261230468750" // 0x00000c90fdaa2218
  #define PRINT_TEST_tau_neg             "-0000006.283185307180247036740183830261230468750" // 0xfffff36f0255dde8
  #define PRINT_TEST_ten                 " 0000010.000000000000000000000000000000000000000" // 0x0000140000000000
  #define PRINT_TEST_ten_neg             "-0000010.000000000000000000000000000000000000000" // 0xffffec0000000000
  #define PRINT_TEST_max                 " 4194303.999999999998181010596454143524169921875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-4194304.000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                            " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-4194304.000000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                            " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                            " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                            " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(    2048,000000000000000000000000000000000000000) // 0x0010000000000000
  // Max was FIXNUM( 4194303.999999999998181010596454143524169921875), sqrt was  0002048.000000000000000000000000000000000000000, difference  0000000.000000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-     27,032740041839133482426404953002929687500) // 0xffffc9ef3cb27e10, actual -27.032740041837868716, difference: 1.2647660696529783309e-12 epsilon: 1.81899e-12 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(      15,249237972318951506167650222778320312500) // 0x00001e7f9c1e9810, actual 15.249237972318796963, difference: -1.5454304502782179043e-13 epsilon: 1.81899e-12 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-     39,000000000000000000000000000000000000000) // 0xffffb20000000000, actual -39, difference: 0 epsilon: 1.81899e-12 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(      22,000000000000000000000000000000000000000) // 0x00002c0000000000, actual 22, difference: 0 epsilon: 1.81899e-12 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-     11,740169830896775238215923309326171875000) // 0xffffe8850875bda0, actual -11.740169830895267111, difference: 1.5081269566508126445e-12 epsilon: 1.81899e-12 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(       6,622659904607644421048462390899658203125) // 0x00000d3ecd476da4, actual 6.6226599046075866895, difference: -5.7731597280508140102e-14 epsilon: 1.81899e-12 larger: 0
#endif /* FIX_INT_BITS == 23 */
#if FIX_INT_BITS == 24
  #define PRINT_TEST_zero                " 0000000.00000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000.50000000000000000000000000000000000000" // 0x0000008000000000
  #define PRINT_TEST_half_neg            "-0000000.50000000000000000000000000000000000000" // 0xffffff8000000000
  #define PRINT_TEST_one                 " 0000001.00000000000000000000000000000000000000" // 0x0000010000000000
  #define PRINT_TEST_one_neg             "-0000001.00000000000000000000000000000000000000" // 0xffffff0000000000
  #define PRINT_TEST_two                 " 0000002.00000000000000000000000000000000000000" // 0x0000020000000000
  #define PRINT_TEST_epsilon             " 0000000.00000000000363797880709171295166015625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000002.71828182846002164296805858612060546875" // 0x000002b7e151628c
  #define PRINT_TEST_e_neg               "-0000002.71828182846002164296805858612060546875" // 0xfffffd481eae9d74
  #define PRINT_TEST_pi                  " 0000003.14159265358830452896654605865478515625" // 0x000003243f6a8884
  #define PRINT_TEST_pi_neg              "-0000003.14159265358830452896654605865478515625" // 0xfffffcdbc095777c
  #define PRINT_TEST_tau                 " 0000006.28318530718024703674018383026123046875" // 0x000006487ed5110c
  #define PRINT_TEST_tau_neg             "-0000006.28318530718024703674018383026123046875" // 0xfffff9b7812aeef4
  #define PRINT_TEST_ten                 " 0000010.00000000000000000000000000000000000000" // 0x00000a0000000000
  #define PRINT_TEST_ten_neg             "-0000010.00000000000000000000000000000000000000" // 0xfffff60000000000
  #define PRINT_TEST_max                 " 8388607.99999999999636202119290828704833984375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-8388608.00000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                           " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-8388608.00000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                           " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                           " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                           " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(    2896,30937574009658419527113437652587890625) // 0x000b504f333f9de4
  // Max was FIXNUM( 8388607.99999999999636202119290828704833984375), sqrt was  0002896.30937574010022217407822608947753906250, difference -0000000.00000000000363797880709171295166015625 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-     26,33959286128083476796746253967285156250) // 0xffffe5a9107136d8, actual -26.339592861277921543, difference: 2.9132252166164107621e-12 epsilon: 3.63798e-12 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(      15,94238515287725022062659263610839843750) // 0x00000ff1402743d8, actual 15.94238515287874236, difference: 1.4921397450962103903e-12 epsilon: 3.63798e-12 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-     38,00000000000000000000000000000000000000) // 0xffffda0000000000, actual -38, difference: 0 epsilon: 3.63798e-12 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(      23,00000000000000000000000000000000000000) // 0x0000170000000000, actual 23, difference: 0 epsilon: 3.63798e-12 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-     11,43913983523088973015546798706054687500) // 0xfffff48f94882150, actual -11.439139835231285858, difference: -3.9612757518625585362e-13 epsilon: 3.63798e-12 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(       6,92368990027171093970537185668945312500) // 0x000006ec76f0f950, actual 6.9236899002715670548, difference: -1.4388490399142028764e-13 epsilon: 3.63798e-12 larger: 0
#endif /* FIX_INT_BITS == 24 */
#if FIX_INT_BITS == 25
  #define PRINT_TEST_zero                " 00000000.0000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000.5000000000000000000000000000000000000" // 0x0000004000000000
  #define PRINT_TEST_half_neg            "-00000000.5000000000000000000000000000000000000" // 0xffffffc000000000
  #define PRINT_TEST_one                 " 00000001.0000000000000000000000000000000000000" // 0x0000008000000000
  #define PRINT_TEST_one_neg             "-00000001.0000000000000000000000000000000000000" // 0xffffff8000000000
  #define PRINT_TEST_two                 " 00000002.0000000000000000000000000000000000000" // 0x0000010000000000
  #define PRINT_TEST_epsilon             " 00000000.0000000000072759576141834259033203125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000002.7182818284563836641609668731689453125" // 0x0000015bf0a8b144
  #define PRINT_TEST_e_neg               "-00000002.7182818284563836641609668731689453125" // 0xfffffea40f574ebc
  #define PRINT_TEST_pi                  " 00000003.1415926535919425077736377716064453125" // 0x000001921fb54444
  #define PRINT_TEST_pi_neg              "-00000003.1415926535919425077736377716064453125" // 0xfffffe6de04abbbc
  #define PRINT_TEST_tau                 " 00000006.2831853071766090579330921173095703125" // 0x000003243f6a8884
  #define PRINT_TEST_tau_neg             "-00000006.2831853071766090579330921173095703125" // 0xfffffcdbc095777c
  #define PRINT_TEST_ten                 " 00000010.0000000000000000000000000000000000000" // 0x0000050000000000
  #define PRINT_TEST_ten_neg             "-00000010.0000000000000000000000000000000000000" // 0xfffffb0000000000
  #define PRINT_TEST_max                 " 16777215.9999999999927240423858165740966796875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-16777216.0000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                           " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-16777216.0000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                           " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                           " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                           " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(     4096,0000000000000000000000000000000000000) // 0x0008000000000000
  // Max was FIXNUM( 16777215.9999999999927240423858165740966796875), sqrt was  00004096.0000000000000000000000000000000000000, difference  00000000.0000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-      25,6464456807225360535085201263427734375) // 0xfffff32d41449754, actual -25.646445680717977922, difference: 4.5581316499010426924e-12 epsilon: 7.27596e-12 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(       16,6355323334355489350855350494384765625) // 0x00000851591f9dd4, actual 16.635532333438685981, difference: 3.1370461783808423206e-12 epsilon: 7.27596e-12 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-      37,0000000000000000000000000000000000000) // 0xffffed8000000000, actual -37, difference: 0 epsilon: 7.27596e-12 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(       24,0000000000000000000000000000000000000) // 0x00000c0000000000, actual 24, difference: 0 epsilon: 7.27596e-12 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-      11,1381098395722801797091960906982421875) // 0xfffffa6e526ab1e4, actual -11.138109839567304604, difference: 4.9755755071601015516e-12 epsilon: 7.27596e-12 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(        7,2247198959303204901516437530517578125) // 0x0000039cc39f1de4, actual 7.2247198959355483083, difference: 5.2278181783549371175e-12 epsilon: 7.27596e-12 larger: 0
#endif /* FIX_INT_BITS == 25 */
#if FIX_INT_BITS == 26
  #define PRINT_TEST_zero                " 00000000.000000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000.500000000000000000000000000000000000" // 0x0000002000000000
  #define PRINT_TEST_half_neg            "-00000000.500000000000000000000000000000000000" // 0xffffffe000000000
  #define PRINT_TEST_one                 " 00000001.000000000000000000000000000000000000" // 0x0000004000000000
  #define PRINT_TEST_one_neg             "-00000001.000000000000000000000000000000000000" // 0xffffffc000000000
  #define PRINT_TEST_two                 " 00000002.000000000000000000000000000000000000" // 0x0000008000000000
  #define PRINT_TEST_epsilon             " 00000000.000000000014551915228366851806640625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000002.718281828463659621775150299072265625" // 0x000000adf85458a4
  #define PRINT_TEST_e_neg               "-00000002.718281828463659621775150299072265625" // 0xffffff5207aba75c
  #define PRINT_TEST_pi                  " 00000003.141592653584666550159454345703125000" // 0x000000c90fdaa220
  #define PRINT_TEST_pi_neg              "-00000003.141592653584666550159454345703125000" // 0xffffff36f0255de0
  #define PRINT_TEST_tau                 " 00000006.283185307183885015547275543212890625" // 0x000001921fb54444
  #define PRINT_TEST_tau_neg             "-00000006.283185307183885015547275543212890625" // 0xfffffe6de04abbbc
  #define PRINT_TEST_ten                 " 00000010.000000000000000000000000000000000000" // 0x0000028000000000
  #define PRINT_TEST_ten_neg             "-00000010.000000000000000000000000000000000000" // 0xfffffd8000000000
  #define PRINT_TEST_max                 " 33554431.999999999985448084771633148193359375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-33554432.000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                          " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-33554432.000000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                          " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                          " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                          " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(     5792,618751480200444348156452178955078125) // 0x0005a827999fcef4
  // Max was FIXNUM( 33554431.999999999985448084771633148193359375), sqrt was  00005792.618751480200444348156452178955078125, difference  00000000.000000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-      24,953298500156961381435394287109375000) // 0xfffff9c2fd2849a0, actual -24.953298500158030748, difference: -1.0693668173189507797e-12 epsilon: 1.45519e-11 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(       17,328679513986571691930294036865234375) // 0x000004550915ccdc, actual 17.328679513998633155, difference: 1.2061462939527700655e-11 epsilon: 1.45519e-11 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-      36,000000000000000000000000000000000000) // 0xfffff70000000000, actual -36, difference: 0 epsilon: 1.45519e-11 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(       25,000000000000000000000000000000000000) // 0x0000064000000000, actual 25, difference: 0 epsilon: 1.45519e-11 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-      10,837079843913670629262924194335937500) // 0xfffffd4a6d48a990, actual -10.837079843903323351, difference: 1.0347278589506458957e-11 epsilon: 1.45519e-11 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(        7,525749891588930040597915649414062500) // 0x000001e1a5e2df90, actual 7.5257498915995295619, difference: 1.0599521260701294523e-11 epsilon: 1.45519e-11 larger: 0
#endif /* FIX_INT_BITS == 26 */
#if FIX_INT_BITS == 27
  #define PRINT_TEST_zero                " 00000000.00000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000.50000000000000000000000000000000000" // 0x0000001000000000
  #define PRINT_TEST_half_neg            "-00000000.50000000000000000000000000000000000" // 0xfffffff000000000
  #define PRINT_TEST_one                 " 00000001.00000000000000000000000000000000000" // 0x0000002000000000
  #define PRINT_TEST_one_neg             "-00000001.00000000000000000000000000000000000" // 0xffffffe000000000
  #define PRINT_TEST_two                 " 00000002.00000000000000000000000000000000000" // 0x0000004000000000
  #define PRINT_TEST_epsilon             " 00000000.00000000002910383045673370361328125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000002.71828182844910770654678344726562500" // 0x00000056fc2a2c50
  #define PRINT_TEST_e_neg               "-00000002.71828182844910770654678344726562500" // 0xffffffa903d5d3b0
  #define PRINT_TEST_pi                  " 00000003.14159265358466655015945434570312500" // 0x0000006487ed5110
  #define PRINT_TEST_pi_neg              "-00000003.14159265358466655015945434570312500" // 0xffffff9b7812aef0
  #define PRINT_TEST_tau                 " 00000006.28318530716933310031890869140625000" // 0x000000c90fdaa220
  #define PRINT_TEST_tau_neg             "-00000006.28318530716933310031890869140625000" // 0xffffff36f0255de0
  #define PRINT_TEST_ten                 " 00000010.00000000000000000000000000000000000" // 0x0000014000000000
  #define PRINT_TEST_ten_neg             "-00000010.00000000000000000000000000000000000" // 0xfffffec000000000
  #define PRINT_TEST_max                 " 67108863.99999999997089616954326629638671875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-67108864.00000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                         " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-67108864.00000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                         " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                         " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                         " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(     8192,00000000000000000000000000000000000) // 0x0004000000000000
  // Max was FIXNUM( 67108863.99999999997089616954326629638671875), sqrt was  00008192.00000000000000000000000000000000000, difference  00000000.00000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-      24,26015131961321458220481872558593750) // 0xfffffcf7acd723c8, actual -24.260151319598087127, difference: 1.5127454844332532957e-11 epsilon: 2.91038e-11 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(       18,02182669454487040638923645019531250) // 0x00000240b2cde568, actual 18.021826694558576776, difference: 1.3706369372812332585e-11 epsilon: 2.91038e-11 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-      35,00000000000000000000000000000000000) // 0xfffffba000000000, actual -35, difference: 0 epsilon: 2.91038e-11 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(       26,00000000000000000000000000000000000) // 0x0000034000000000, actual 26, difference: 0 epsilon: 2.91038e-11 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-      10,53604984824778512120246887207031250) // 0xfffffeaed8adfd18, actual -10.536049848239342097, difference: 8.4430240576693904586e-12 epsilon: 2.91038e-11 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(        7,82677988725481554865837097167968750) // 0x000000fa74fb1818, actual 7.8267798872635108154, difference: 8.6952667288642260246e-12 epsilon: 2.91038e-11 larger: 0
#endif /* FIX_INT_BITS == 27 */
#if FIX_INT_BITS == 28
  #define PRINT_TEST_zero                " 000000000.0000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000.5000000000000000000000000000000000" // 0x0000000800000000
  #define PRINT_TEST_half_neg            "-000000000.5000000000000000000000000000000000" // 0xfffffff800000000
  #define PRINT_TEST_one                 " 000000001.0000000000000000000000000000000000" // 0x0000001000000000
  #define PRINT_TEST_one_neg             "-000000001.0000000000000000000000000000000000" // 0xfffffff000000000
  #define PRINT_TEST_two                 " 000000002.0000000000000000000000000000000000" // 0x0000002000000000
  #define PRINT_TEST_epsilon             " 000000000.0000000000582076609134674072265625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000002.7182818284491077065467834472656250" // 0x0000002b7e151628
  #define PRINT_TEST_e_neg               "-000000002.7182818284491077065467834472656250" // 0xffffffd481eae9d8
  #define PRINT_TEST_pi                  " 000000003.1415926535846665501594543457031250" // 0x0000003243f6a888
  #define PRINT_TEST_pi_neg              "-000000003.1415926535846665501594543457031250" // 0xffffffcdbc095778
  #define PRINT_TEST_tau                 " 000000006.2831853071693331003189086914062500" // 0x0000006487ed5110
  #define PRINT_TEST_tau_neg             "-000000006.2831853071693331003189086914062500" // 0xffffff9b7812aef0
  #define PRINT_TEST_ten                 " 000000010.0000000000000000000000000000000000" // 0x000000a000000000
  #define PRINT_TEST_ten_neg             "-000000010.0000000000000000000000000000000000" // 0xffffff6000000000
  #define PRINT_TEST_max                 " 134217727.9999999999417923390865325927734375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-134217728.0000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                         " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-134217728.0000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                         " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                         " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                         " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(     11585,2375029604299925267696380615234375) // 0x0002d413cccfe77c
  // Max was FIXNUM( 134217727.9999999999417923390865325927734375), sqrt was  000011585.2375029603717848658561706542968750, difference  000000000.0000000000582076609134674072265625 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-       23,5670041390694677829742431640625000) // 0xfffffe86ed8d1160, actual -23.567004139038139954, difference: 3.1327829219662817195e-11 epsilon: 5.82077e-11 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(        18,7149738750886172056198120117187500) // 0x0000012b70887230, actual 18.714973875118523949, difference: 2.9906743748142616823e-11 epsilon: 5.82077e-11 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-       34,0000000000000000000000000000000000) // 0xfffffde000000000, actual -34, difference: 0 epsilon: 5.82077e-11 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(        27,0000000000000000000000000000000000) // 0x000001b000000000, actual 27, difference: 0 epsilon: 5.82077e-11 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-       10,2350198525818996131420135498046875) // 0xffffff5c3d5bd2b4, actual -10.235019852575360844, difference: 6.5387695258323219605e-12 epsilon: 5.82077e-11 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(         8,1278098829207010567188262939453125) // 0x000000820b826034, actual 8.1278098829274920689, difference: 6.7910121970271575265e-12 epsilon: 5.82077e-11 larger: 0
#endif /* FIX_INT_BITS == 28 */
#if FIX_INT_BITS == 29
  #define PRINT_TEST_zero                " 000000000.000000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000.500000000000000000000000000000000" // 0x0000000400000000
  #define PRINT_TEST_half_neg            "-000000000.500000000000000000000000000000000" // 0xfffffffc00000000
  #define PRINT_TEST_one                 " 000000001.000000000000000000000000000000000" // 0x0000000800000000
  #define PRINT_TEST_one_neg             "-000000001.000000000000000000000000000000000" // 0xfffffff800000000
  #define PRINT_TEST_two                 " 000000002.000000000000000000000000000000000" // 0x0000001000000000
  #define PRINT_TEST_epsilon             " 000000000.000000000116415321826934814453125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000002.718281828449107706546783447265625" // 0x00000015bf0a8b14
  #define PRINT_TEST_e_neg               "-000000002.718281828449107706546783447265625" // 0xffffffea40f574ec
  #define PRINT_TEST_pi                  " 000000003.141592653584666550159454345703125" // 0x0000001921fb5444
  #define PRINT_TEST_pi_neg              "-000000003.141592653584666550159454345703125" // 0xffffffe6de04abbc
  #define PRINT_TEST_tau                 " 000000006.283185307169333100318908691406250" // 0x0000003243f6a888
  #define PRINT_TEST_tau_neg             "-000000006.283185307169333100318908691406250" // 0xffffffcdbc095778
  #define PRINT_TEST_ten                 " 000000010.000000000000000000000000000000000" // 0x0000005000000000
  #define PRINT_TEST_ten_neg             "-000000010.000000000000000000000000000000000" // 0xffffffb000000000
  #define PRINT_TEST_max                 " 268435455.999999999883584678173065185546875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-268435456.000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                        " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-268435456.000000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                        " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                        " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                        " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(     16384,000000000000000000000000000000000) // 0x0002000000000000
  // Max was FIXNUM( 268435455.999999999883584678173065185546875), sqrt was  000016384.000000000000000000000000000000000, difference  000000000.000000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-       22,873856958467513322830200195312500) // 0xffffff4902574870, actual -22.873856958478196333, difference: -1.0683010032153106295e-11 epsilon: 1.16415e-10 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(        19,408121055690571665763854980468750) // 0x0000009b43d4f8d8, actual 19.40812105567846757, difference: -1.2104095503673306666e-11 epsilon: 1.16415e-10 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-       33,000000000000000000000000000000000) // 0xfffffef800000000, actual -33, difference: 0 epsilon: 1.16415e-10 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(        28,000000000000000000000000000000000) // 0x000000e000000000, actual 28, difference: 0 epsilon: 1.16415e-10 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-        9,933989856974221765995025634765625) // 0xffffffb08730536c, actual -9.9339898569113795901, difference: 6.2842175907462660689e-11 epsilon: 1.16415e-10 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(         8,428839878528378903865814208984375) // 0x000000436e439a2c, actual 8.4288398785914733224, difference: 6.3094418578657496255e-11 epsilon: 1.16415e-10 larger: 0
#endif /* FIX_INT_BITS == 29 */
#if FIX_INT_BITS == 30
  #define PRINT_TEST_zero                " 000000000.00000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000.50000000000000000000000000000000" // 0x0000000200000000
  #define PRINT_TEST_half_neg            "-000000000.50000000000000000000000000000000" // 0xfffffffe00000000
  #define PRINT_TEST_one                 " 000000001.00000000000000000000000000000000" // 0x0000000400000000
  #define PRINT_TEST_one_neg             "-000000001.00000000000000000000000000000000" // 0xfffffffc00000000
  #define PRINT_TEST_two                 " 000000002.00000000000000000000000000000000" // 0x0000000800000000
  #define PRINT_TEST_epsilon             " 000000000.00000000023283064365386962890625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000002.71828182856552302837371826171875" // 0x0000000adf85458c
  #define PRINT_TEST_e_neg               "-000000002.71828182856552302837371826171875" // 0xfffffff5207aba74
  #define PRINT_TEST_pi                  " 000000003.14159265370108187198638916015625" // 0x0000000c90fdaa24
  #define PRINT_TEST_pi_neg              "-000000003.14159265370108187198638916015625" // 0xfffffff36f0255dc
  #define PRINT_TEST_tau                 " 000000006.28318530716933310031890869140625" // 0x0000001921fb5444
  #define PRINT_TEST_tau_neg             "-000000006.28318530716933310031890869140625" // 0xffffffe6de04abbc
  #define PRINT_TEST_ten                 " 000000010.00000000000000000000000000000000" // 0x0000002800000000
  #define PRINT_TEST_ten_neg             "-000000010.00000000000000000000000000000000" // 0xffffffd800000000
  #define PRINT_TEST_max                 " 536870911.99999999976716935634613037109375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-536870912.00000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                       " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-536870912.00000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                       " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                       " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                       " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(     23170,47500592074356973171234130859375) // 0x00016a09e667f3bc
  // Max was FIXNUM( 536870911.99999999976716935634613037109375), sqrt was  000023170.47500592074356973171234130859375, difference  000000000.00000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-       22,18070977809838950634002685546875) // 0xffffffa746f40414, actual -22.180709777918249159, difference: 1.8014034708357939962e-10 epsilon: 2.32831e-10 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(        20,10126823605969548225402832031250) // 0x0000005067b2dc48, actual 20.101268236238414744, difference: 1.7871926161205919925e-10 epsilon: 2.32831e-10 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-       32,00000000000000000000000000000000) // 0xffffff8000000000, actual -32, difference: 0 epsilon: 2.32831e-10 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(        29,00000000000000000000000000000000) // 0x0000007400000000, actual 29, difference: 0 epsilon: 2.32831e-10 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-        9,63295986130833625793457031250000) // 0xffffffd977d95ec0, actual -9.6329598612473983366, difference: 6.0937921375625592191e-11 epsilon: 2.32831e-10 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(         8,72986987419426441192626953125000) // 0x00000022eb630220, actual 8.729869874255454576, difference: 6.1190164046820427757e-11 epsilon: 2.32831e-10 larger: 0
#endif /* FIX_INT_BITS == 30 */
#if FIX_INT_BITS == 31
  #define PRINT_TEST_zero                " 0000000000.0000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000.5000000000000000000000000000000" // 0x0000000100000000
  #define PRINT_TEST_half_neg            "-0000000000.5000000000000000000000000000000" // 0xffffffff00000000
  #define PRINT_TEST_one                 " 0000000001.0000000000000000000000000000000" // 0x0000000200000000
  #define PRINT_TEST_one_neg             "-0000000001.0000000000000000000000000000000" // 0xfffffffe00000000
  #define PRINT_TEST_two                 " 0000000002.0000000000000000000000000000000" // 0x0000000400000000
  #define PRINT_TEST_epsilon             " 0000000000.0000000004656612873077392578125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000002.7182818283326923847198486328125" // 0x000000056fc2a2c4
  #define PRINT_TEST_e_neg               "-0000000002.7182818283326923847198486328125" // 0xfffffffa903d5d3c
  #define PRINT_TEST_pi                  " 0000000003.1415926534682512283325195312500" // 0x00000006487ed510
  #define PRINT_TEST_pi_neg              "-0000000003.1415926534682512283325195312500" // 0xfffffff9b7812af0
  #define PRINT_TEST_tau                 " 0000000006.2831853074021637439727783203125" // 0x0000000c90fdaa24
  #define PRINT_TEST_tau_neg             "-0000000006.2831853074021637439727783203125" // 0xfffffff36f0255dc
  #define PRINT_TEST_ten                 " 0000000010.0000000000000000000000000000000" // 0x0000001400000000
  #define PRINT_TEST_ten_neg             "-0000000010.0000000000000000000000000000000" // 0xffffffec00000000
  #define PRINT_TEST_max                 " 1073741823.9999999995343387126922607421875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-1073741824.0000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                       " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-1073741824.0000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                       " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                       " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                       " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(      32768,0000000000000000000000000000000) // 0x0001000000000000
  // Max was FIXNUM( 1073741823.9999999995343387126922607421875), sqrt was  0000032768.0000000000000000000000000000000, difference  0000000000.0000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-        21,4875625977292656898498535156250) // 0xffffffd5065e31f8, actual -21.487562597358305538, difference: 3.7096015148563310504e-10 epsilon: 4.65661e-10 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(         20,7944154166616499423980712890625) // 0x0000002996bd9e14, actual 20.794415416798358365, difference: 1.3670842236024327576e-10 epsilon: 4.65661e-10 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-        31,0000000000000000000000000000000) // 0xffffffc200000000, actual -31, difference: 0 epsilon: 4.65661e-10 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(         30,0000000000000000000000000000000) // 0x0000003c00000000, actual 30, difference: 0 epsilon: 4.65661e-10 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-         9,3319298657588660717010498046875) // 0xffffffed560d49e4, actual -9.331929865583417083, difference: 1.7544898867072333815e-10 epsilon: 4.65661e-10 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(          9,0308998697437345981597900390625) // 0x000000120fd21b94, actual 9.0308998699194358295, difference: 1.7570123134191817371e-10 epsilon: 4.65661e-10 larger: 0
#endif /* FIX_INT_BITS == 31 */
#if FIX_INT_BITS == 32
  #define PRINT_TEST_zero                " 0000000000.000000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000.500000000000000000000000000000" // 0x0000000080000000
  #define PRINT_TEST_half_neg            "-0000000000.500000000000000000000000000000" // 0xffffffff80000000
  #define PRINT_TEST_one                 " 0000000001.000000000000000000000000000000" // 0x0000000100000000
  #define PRINT_TEST_one_neg             "-0000000001.000000000000000000000000000000" // 0xffffffff00000000
  #define PRINT_TEST_two                 " 0000000002.000000000000000000000000000000" // 0x0000000200000000
  #define PRINT_TEST_epsilon             " 0000000000.000000000931322574615478515625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000002.718281828798353672027587890625" // 0x00000002b7e15164
  #define PRINT_TEST_e_neg               "-0000000002.718281828798353672027587890625" // 0xfffffffd481eae9c
  #define PRINT_TEST_pi                  " 0000000003.141592653468251228332519531250" // 0x00000003243f6a88
  #define PRINT_TEST_pi_neg              "-0000000003.141592653468251228332519531250" // 0xfffffffcdbc09578
  #define PRINT_TEST_tau                 " 0000000006.283185306936502456665039062500" // 0x00000006487ed510
  #define PRINT_TEST_tau_neg             "-0000000006.283185306936502456665039062500" // 0xfffffff9b7812af0
  #define PRINT_TEST_ten                 " 0000000010.000000000000000000000000000000" // 0x0000000a00000000
  #define PRINT_TEST_ten_neg             "-0000000010.000000000000000000000000000000" // 0xfffffff600000000
  #define PRINT_TEST_max                 " 2147483647.999999999068677425384521484375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-2147483648.000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                      " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-2147483648.000000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                      " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                      " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                      " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(      46340,950011841952800750732421875000) // 0x0000b504f333f9e0
  // Max was FIXNUM( 2147483647.999999999068677425384521484375), sqrt was  0000046340.950011841952800750732421875000, difference  0000000000.000000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-        20,794415417127311229705810546875) // 0xffffffeb34a130f4, actual -20.794415416798358365, difference: 3.2895286494749598205e-10 epsilon: 9.31323e-10 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(         21,487562596797943115234375000000) // 0x000000157cd0e700, actual 21.487562597358305538, difference: 5.6036242312984541059e-10 epsilon: 9.31323e-10 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-        30,000000000000000000000000000000) // 0xffffffe200000000, actual -30, difference: 0 epsilon: 9.31323e-10 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(         31,000000000000000000000000000000) // 0x0000001f00000000, actual 31, difference: 0 epsilon: 9.31323e-10 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-         9,030899870209395885467529296875) // 0xfffffff6f816f234, actual -9.0308998699194358295, difference: 2.899600559658210841e-10 epsilon: 9.31323e-10 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(          9,331929865293204784393310546875) // 0x0000000954f95b0c, actual 9.331929865583417083, difference: 2.9021229863701591967e-10 epsilon: 9.31323e-10 larger: 0
#endif /* FIX_INT_BITS == 32 */
#if FIX_INT_BITS == 33
  #define PRINT_TEST_zero                " 0000000000.00000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000.50000000000000000000000000000" // 0x0000000040000000
  #define PRINT_TEST_half_neg            "-0000000000.50000000000000000000000000000" // 0xffffffffc0000000
  #define PRINT_TEST_one                 " 0000000001.00000000000000000000000000000" // 0x0000000080000000
  #define PRINT_TEST_one_neg             "-0000000001.00000000000000000000000000000" // 0xffffffff80000000
  #define PRINT_TEST_two                 " 0000000002.00000000000000000000000000000" // 0x0000000100000000
  #define PRINT_TEST_epsilon             " 0000000000.00000000186264514923095703125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000002.71828182786703109741210937500" // 0x000000015bf0a8b0
  #define PRINT_TEST_e_neg               "-0000000002.71828182786703109741210937500" // 0xfffffffea40f5750
  #define PRINT_TEST_pi                  " 0000000003.14159265346825122833251953125" // 0x00000001921fb544
  #define PRINT_TEST_pi_neg              "-0000000003.14159265346825122833251953125" // 0xfffffffe6de04abc
  #define PRINT_TEST_tau                 " 0000000006.28318530693650245666503906250" // 0x00000003243f6a88
  #define PRINT_TEST_tau_neg             "-0000000006.28318530693650245666503906250" // 0xfffffffcdbc09578
  #define PRINT_TEST_ten                 " 0000000010.00000000000000000000000000000" // 0x0000000500000000
  #define PRINT_TEST_ten_neg             "-0000000010.00000000000000000000000000000" // 0xfffffffb00000000
  #define PRINT_TEST_max                 " 4294967295.99999999813735485076904296875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-4294967296.00000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                     " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-4294967296.00000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                     " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                     " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                     " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(      65536,00000000000000000000000000000) // 0x0000800000000000
  // Max was FIXNUM( 4294967295.99999999813735485076904296875), sqrt was  0000065536.00000000000000000000000000000, difference  0000000000.00000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-        20,10126823745667934417724609375) // 0xfffffff5f309a474, actual -20.101268236238414744, difference: 1.2182646003111585742e-09 epsilon: 1.86265e-09 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(         22,18070977739989757537841796875) // 0x0000000b17217f7c, actual 22.180709777918249159, difference: 5.183515838780294871e-10 epsilon: 1.86265e-09 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-        29,00000000000000000000000000000) // 0xfffffff180000000, actual -29, difference: 0 epsilon: 1.86265e-09 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(         32,00000000000000000000000000000) // 0x0000001000000000, actual 32, difference: 0 epsilon: 1.86265e-09 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-         8,72986987419426441192626953125) // 0xfffffffba2939fbc, actual -8.729869874255454576, difference: -6.1190164046820427757e-11 epsilon: 1.86265e-09 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(          9,63295986130833625793457031250) // 0x00000004d104d428, actual 9.6329598612473983366, difference: -6.0937921375625592191e-11 epsilon: 1.86265e-09 larger: 0
#endif /* FIX_INT_BITS == 33 */
#if FIX_INT_BITS == 34
  #define PRINT_TEST_zero                " 0000000000.0000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000.5000000000000000000000000000" // 0x0000000020000000
  #define PRINT_TEST_half_neg            "-0000000000.5000000000000000000000000000" // 0xffffffffe0000000
  #define PRINT_TEST_one                 " 0000000001.0000000000000000000000000000" // 0x0000000040000000
  #define PRINT_TEST_one_neg             "-0000000001.0000000000000000000000000000" // 0xffffffffc0000000
  #define PRINT_TEST_two                 " 0000000002.0000000000000000000000000000" // 0x0000000080000000
  #define PRINT_TEST_epsilon             " 0000000000.0000000037252902984619140625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000002.7182818278670310974121093750" // 0x00000000adf85458
  #define PRINT_TEST_e_neg               "-0000000002.7182818278670310974121093750" // 0xffffffff5207aba8
  #define PRINT_TEST_pi                  " 0000000003.1415926553308963775634765625" // 0x00000000c90fdaa4
  #define PRINT_TEST_pi_neg              "-0000000003.1415926553308963775634765625" // 0xffffffff36f0255c
  #define PRINT_TEST_tau                 " 0000000006.2831853069365024566650390625" // 0x00000001921fb544
  #define PRINT_TEST_tau_neg             "-0000000006.2831853069365024566650390625" // 0xfffffffe6de04abc
  #define PRINT_TEST_ten                 " 0000000010.0000000000000000000000000000" // 0x0000000280000000
  #define PRINT_TEST_ten_neg             "-0000000010.0000000000000000000000000000" // 0xfffffffd80000000
  #define PRINT_TEST_max                 " 8589934591.9999999962747097015380859375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-8589934592.0000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                    " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-8589934592.0000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                    " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                    " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                    " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(      92681,9000236839056015014648437500) // 0x00005a827999fcf0
  // Max was FIXNUM( 8589934591.9999999962747097015380859375), sqrt was  0000092681.9000236839056015014648437500, difference  0000000000.0000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-        19,4081210568547248840332031250) // 0xfffffffb25e15838, actual -19.40812105567846757, difference: 1.1762573137730214512e-09 epsilon: 3.72529e-09 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(         22,8738569580018520355224609375) // 0x00000005b7ed45bc, actual 22.873856958478196333, difference: 4.7634429733989236411e-10 epsilon: 3.72529e-09 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-        28,0000000000000000000000000000) // 0xfffffff900000000, actual -28, difference: 0 epsilon: 3.72529e-09 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(         33,0000000000000000000000000000) // 0x0000000840000000, actual 33, difference: 0 epsilon: 3.72529e-09 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-         8,4288398809731006622314453125) // 0xfffffffde48de32c, actual -8.4288398785914733224, difference: 2.3816273397869736073e-09 epsilon: 3.72529e-09 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(          9,9339898563921451568603515625) // 0x000000027bc67d64, actual 9.9339898569113795901, difference: 5.1923443322721141158e-10 epsilon: 3.72529e-09 larger: 0
#endif /* FIX_INT_BITS == 34 */
#if FIX_INT_BITS == 35
  #define PRINT_TEST_zero                " 00000000000.000000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000.500000000000000000000000000" // 0x0000000010000000
  #define PRINT_TEST_half_neg            "-00000000000.500000000000000000000000000" // 0xfffffffff0000000
  #define PRINT_TEST_one                 " 00000000001.000000000000000000000000000" // 0x0000000020000000
  #define PRINT_TEST_one_neg             "-00000000001.000000000000000000000000000" // 0xffffffffe0000000
  #define PRINT_TEST_two                 " 00000000002.000000000000000000000000000" // 0x0000000040000000
  #define PRINT_TEST_epsilon             " 00000000000.000000007450580596923828125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000002.718281827867031097412109375" // 0x0000000056fc2a2c
  #define PRINT_TEST_e_neg               "-00000000002.718281827867031097412109375" // 0xffffffffa903d5d4
  #define PRINT_TEST_pi                  " 00000000003.141592651605606079101562500" // 0x000000006487ed50
  #define PRINT_TEST_pi_neg              "-00000000003.141592651605606079101562500" // 0xffffffff9b7812b0
  #define PRINT_TEST_tau                 " 00000000006.283185310661792755126953125" // 0x00000000c90fdaa4
  #define PRINT_TEST_tau_neg             "-00000000006.283185310661792755126953125" // 0xffffffff36f0255c
  #define PRINT_TEST_ten                 " 00000000010.000000000000000000000000000" // 0x0000000140000000
  #define PRINT_TEST_ten_neg             "-00000000010.000000000000000000000000000" // 0xfffffffec0000000
  #define PRINT_TEST_max                 " 17179869183.999999992549419403076171875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-17179869184.000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                    " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-17179869184.000000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                    " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                    " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                    " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(      131072,000000000000000000000000000) // 0x0000400000000000
  // Max was FIXNUM( 17179869183.999999992549419403076171875), sqrt was  00000131072.000000000000000000000000000, difference  00000000000.000000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-         18,714973874390125274658203125) // 0xfffffffda91eef1c, actual -18.714973875118523949, difference: -7.2839867470975150354e-10 epsilon: 7.45058e-09 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(          23,567004136741161346435546875) // 0x00000002f224e5dc, actual 23.567004139038139954, difference: 2.2969786073190334719e-09 epsilon: 7.45058e-09 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-         27,000000000000000000000000000) // 0xfffffffca0000000, actual -27, difference: 0 epsilon: 7.45058e-09 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(          34,000000000000000000000000000) // 0x0000000440000000, actual 34, difference: 0 epsilon: 7.45058e-09 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-          8,127809882164001464843750000) // 0xfffffffefbe8fb40, actual -8.1278098829274920689, difference: -7.6349060407210345147e-10 epsilon: 7.45058e-09 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(          10,235019847750663757324218750) // 0x0000000147854858, actual 10.235019852575360844, difference: 4.8246970862919624778e-09 epsilon: 7.45058e-09 larger: 0
#endif /* FIX_INT_BITS == 35 */
#if FIX_INT_BITS == 36
  #define PRINT_TEST_zero                " 00000000000.00000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000.50000000000000000000000000" // 0x0000000008000000
  #define PRINT_TEST_half_neg            "-00000000000.50000000000000000000000000" // 0xfffffffff8000000
  #define PRINT_TEST_one                 " 00000000001.00000000000000000000000000" // 0x0000000010000000
  #define PRINT_TEST_one_neg             "-00000000001.00000000000000000000000000" // 0xfffffffff0000000
  #define PRINT_TEST_two                 " 00000000002.00000000000000000000000000" // 0x0000000020000000
  #define PRINT_TEST_epsilon             " 00000000000.00000001490116119384765625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000002.71828183531761169433593750" // 0x000000002b7e1518
  #define PRINT_TEST_e_neg               "-00000000002.71828183531761169433593750" // 0xffffffffd481eae8
  #define PRINT_TEST_pi                  " 00000000003.14159265160560607910156250" // 0x000000003243f6a8
  #define PRINT_TEST_pi_neg              "-00000000003.14159265160560607910156250" // 0xffffffffcdbc0958
  #define PRINT_TEST_tau                 " 00000000006.28318530321121215820312500" // 0x000000006487ed50
  #define PRINT_TEST_tau_neg             "-00000000006.28318530321121215820312500" // 0xffffffff9b7812b0
  #define PRINT_TEST_ten                 " 00000000010.00000000000000000000000000" // 0x00000000a0000000
  #define PRINT_TEST_ten_neg             "-00000000010.00000000000000000000000000" // 0xffffffff60000000
  #define PRINT_TEST_max                 " 34359738367.99999998509883880615234375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-34359738368.00000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                   " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-34359738368.00000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                   " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                   " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                   " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(      185363,80004736781120300292968750) // 0x00002d413cccfe78
  // Max was FIXNUM( 34359738367.99999998509883880615234375), sqrt was  00000185363.80004736781120300292968750, difference  00000000000.00000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-         18,02182669937610626220703125) // 0xfffffffedfa6990c, actual -18.021826694558576776, difference: 4.8175294864449824672e-09 epsilon: 1.49012e-08 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(          24,26015131175518035888671875) // 0x000000018429946c, actual 24.260151319598087127, difference: 7.8429067684737674426e-09 epsilon: 1.49012e-08 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-         26,00000000000000000000000000) // 0xfffffffe60000000, actual -26, difference: 0 epsilon: 1.49012e-08 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(          35,00000000000000000000000000) // 0x0000000230000000, actual 35, difference: 0 epsilon: 1.49012e-08 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-          7,82677988708019256591796875) // 0xffffffff82c58274, actual -7.8267798872635108154, difference: -1.833182494692664477e-10 epsilon: 1.49012e-08 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(          10,53604984283447265625000000) // 0x00000000a893a900, actual 10.536049848239342097, difference: 5.4048694408947994816e-09 epsilon: 1.49012e-08 larger: 0
#endif /* FIX_INT_BITS == 36 */
#if FIX_INT_BITS == 37
  #define PRINT_TEST_zero                " 00000000000.0000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000.5000000000000000000000000" // 0x0000000004000000
  #define PRINT_TEST_half_neg            "-00000000000.5000000000000000000000000" // 0xfffffffffc000000
  #define PRINT_TEST_one                 " 00000000001.0000000000000000000000000" // 0x0000000008000000
  #define PRINT_TEST_one_neg             "-00000000001.0000000000000000000000000" // 0xfffffffff8000000
  #define PRINT_TEST_two                 " 00000000002.0000000000000000000000000" // 0x0000000010000000
  #define PRINT_TEST_epsilon             " 00000000000.0000000298023223876953125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000002.7182818353176116943359375" // 0x0000000015bf0a8c
  #define PRINT_TEST_e_neg               "-00000000002.7182818353176116943359375" // 0xffffffffea40f574
  #define PRINT_TEST_pi                  " 00000000003.1415926516056060791015625" // 0x000000001921fb54
  #define PRINT_TEST_pi_neg              "-00000000003.1415926516056060791015625" // 0xffffffffe6de04ac
  #define PRINT_TEST_tau                 " 00000000006.2831853032112121582031250" // 0x000000003243f6a8
  #define PRINT_TEST_tau_neg             "-00000000006.2831853032112121582031250" // 0xffffffffcdbc0958
  #define PRINT_TEST_ten                 " 00000000010.0000000000000000000000000" // 0x0000000050000000
  #define PRINT_TEST_ten_neg             "-00000000010.0000000000000000000000000" // 0xffffffffb0000000
  #define PRINT_TEST_max                 " 68719476735.9999999701976776123046875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-68719476736.0000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                  " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-68719476736.0000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                  " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                  " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                  " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(      262144,0000000000000000000000000) // 0x0000200000000000
  // Max was FIXNUM( 68719476735.9999999701976776123046875), sqrt was  00000262144.0000000000000000000000000, difference  00000000000.0000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-         17,3286795318126678466796875) // 0xffffffff755edd44, actual -17.328679513998633155, difference: 1.7814034691809865762e-08 epsilon: 2.98023e-08 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(          24,9532984793186187744140625) // 0x00000000c7a05af4, actual 24.953298500158030748, difference: 2.0839411973838650738e-08 epsilon: 2.98023e-08 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-         25,0000000000000000000000000) // 0xffffffff38000000, actual -25, difference: 0 epsilon: 2.98023e-08 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(          36,0000000000000000000000000) // 0x0000000120000000, actual 36, difference: 0 epsilon: 2.98023e-08 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-          7,5257498919963836669921875) // 0xffffffffc3cb43a4, actual -7.5257498915995295619, difference: 3.9685410513357055606e-10 epsilon: 2.98023e-08 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(          10,8370798230171203613281250) // 0x0000000056b256e8, actual 10.837079843903323351, difference: 2.0886202989345292735e-08 epsilon: 2.98023e-08 larger: 0
#endif /* FIX_INT_BITS == 37 */
#if FIX_INT_BITS == 38
  #define PRINT_TEST_zero                " 000000000000.000000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000.500000000000000000000000" // 0x0000000002000000
  #define PRINT_TEST_half_neg            "-000000000000.500000000000000000000000" // 0xfffffffffe000000
  #define PRINT_TEST_one                 " 000000000001.000000000000000000000000" // 0x0000000004000000
  #define PRINT_TEST_one_neg             "-000000000001.000000000000000000000000" // 0xfffffffffc000000
  #define PRINT_TEST_two                 " 000000000002.000000000000000000000000" // 0x0000000008000000
  #define PRINT_TEST_epsilon             " 000000000000.000000059604644775390625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000002.718281805515289306640625" // 0x000000000adf8544
  #define PRINT_TEST_e_neg               "-000000000002.718281805515289306640625" // 0xfffffffff5207abc
  #define PRINT_TEST_pi                  " 000000000003.141592681407928466796875" // 0x000000000c90fdac
  #define PRINT_TEST_pi_neg              "-000000000003.141592681407928466796875" // 0xfffffffff36f0254
  #define PRINT_TEST_tau                 " 000000000006.283185303211212158203125" // 0x000000001921fb54
  #define PRINT_TEST_tau_neg             "-000000000006.283185303211212158203125" // 0xffffffffe6de04ac
  #define PRINT_TEST_ten                 " 000000000010.000000000000000000000000" // 0x0000000028000000
  #define PRINT_TEST_ten_neg             "-000000000010.000000000000000000000000" // 0xffffffffd8000000
  #define PRINT_TEST_max                 " 137438953471.999999940395355224609375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-137438953472.000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                  " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-137438953472.000000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                  " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                  " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                  " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(       370727,600094735622406005859375) // 0x000016a09e667f3c
  // Max was FIXNUM( 137438953471.999999940395355224609375), sqrt was  000000370727.600094735622406005859375, difference  000000000000.000000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-          16,635532379150390625000000) // 0xffffffffbd753700, actual -16.635532333438685981, difference: 4.5711704643736084108e-08 epsilon: 5.96046e-08 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(           25,646445631980895996093750) // 0x000000006695f5d8, actual 25.646445680717977922, difference: 4.8737081925764869084e-08 epsilon: 5.96046e-08 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-          24,000000000000000000000000) // 0xffffffffa0000000, actual -24, difference: 0 epsilon: 5.96046e-08 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(           37,000000000000000000000000) // 0x0000000094000000, actual 37, difference: 0 epsilon: 5.96046e-08 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-           7,224719941616058349609375) // 0xffffffffe319e304, actual -7.2247198959355483083, difference: 4.568051004127937631e-08 epsilon: 5.96046e-08 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(           11,138109803199768066406250) // 0x000000002c8d6ca8, actual 11.138109839567304604, difference: 3.6367536537795785989e-08 epsilon: 5.96046e-08 larger: 0
#endif /* FIX_INT_BITS == 38 */
#if FIX_INT_BITS == 39
  #define PRINT_TEST_zero                " 000000000000.00000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000.50000000000000000000000" // 0x0000000001000000
  #define PRINT_TEST_half_neg            "-000000000000.50000000000000000000000" // 0xffffffffff000000
  #define PRINT_TEST_one                 " 000000000001.00000000000000000000000" // 0x0000000002000000
  #define PRINT_TEST_one_neg             "-000000000001.00000000000000000000000" // 0xfffffffffe000000
  #define PRINT_TEST_two                 " 000000000002.00000000000000000000000" // 0x0000000004000000
  #define PRINT_TEST_epsilon             " 000000000000.00000011920928955078125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000002.71828186511993408203125" // 0x00000000056fc2a4
  #define PRINT_TEST_e_neg               "-000000000002.71828186511993408203125" // 0xfffffffffa903d5c
  #define PRINT_TEST_pi                  " 000000000003.14159262180328369140625" // 0x0000000006487ed4
  #define PRINT_TEST_pi_neg              "-000000000003.14159262180328369140625" // 0xfffffffff9b7812c
  #define PRINT_TEST_tau                 " 000000000006.28318536281585693359375" // 0x000000000c90fdac
  #define PRINT_TEST_tau_neg             "-000000000006.28318536281585693359375" // 0xfffffffff36f0254
  #define PRINT_TEST_ten                 " 000000000010.00000000000000000000000" // 0x0000000014000000
  #define PRINT_TEST_ten_neg             "-000000000010.00000000000000000000000" // 0xffffffffec000000
  #define PRINT_TEST_max                 " 274877906943.99999988079071044921875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-274877906944.00000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                 " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-274877906944.00000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                 " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                 " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                 " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(       524288,00000000000000000000000) // 0x0000100000000000
  // Max was FIXNUM( 274877906943.99999988079071044921875), sqrt was  000000524288.00000000000000000000000, difference  000000000000.00000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-          15,94238519668579101562500) // 0xffffffffe01d7fb0, actual -15.94238515287874236, difference: 4.3807048655253311154e-08 epsilon: 1.19209e-07 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(           26,33959281444549560546875) // 0x0000000034addf1c, actual 26.339592861277921543, difference: 4.6832425937282096129e-08 epsilon: 1.19209e-07 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-          23,00000000000000000000000) // 0xffffffffd2000000, actual -23, difference: 0 epsilon: 1.19209e-07 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(           38,00000000000000000000000) // 0x000000004c000000, actual 38, difference: 0 epsilon: 1.19209e-07 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-           6,92368996143341064453125) // 0xfffffffff227121c, actual -6.9236899002715670548, difference: 6.1161843589729869564e-08 epsilon: 1.19209e-07 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(           11,43913984298706054687500) // 0x0000000016e0d6f0, actual 11.439139835231285858, difference: -7.7557746891443457571e-09 epsilon: 1.19209e-07 larger: 0
#endif /* FIX_INT_BITS == 39 */
#if FIX_INT_BITS == 40
  #define PRINT_TEST_zero                " 000000000000.0000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000.5000000000000000000000" // 0x0000000000800000
  #define PRINT_TEST_half_neg            "-000000000000.5000000000000000000000" // 0xffffffffff800000
  #define PRINT_TEST_one                 " 000000000001.0000000000000000000000" // 0x0000000001000000
  #define PRINT_TEST_one_neg             "-000000000001.0000000000000000000000" // 0xffffffffff000000
  #define PRINT_TEST_two                 " 000000000002.0000000000000000000000" // 0x0000000002000000
  #define PRINT_TEST_epsilon             " 000000000000.0000002384185791015625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000002.7182817459106445312500" // 0x0000000002b7e150
  #define PRINT_TEST_e_neg               "-000000000002.7182817459106445312500" // 0xfffffffffd481eb0
  #define PRINT_TEST_pi                  " 000000000003.1415927410125732421875" // 0x0000000003243f6c
  #define PRINT_TEST_pi_neg              "-000000000003.1415927410125732421875" // 0xfffffffffcdbc094
  #define PRINT_TEST_tau                 " 000000000006.2831852436065673828125" // 0x0000000006487ed4
  #define PRINT_TEST_tau_neg             "-000000000006.2831852436065673828125" // 0xfffffffff9b7812c
  #define PRINT_TEST_ten                 " 000000000010.0000000000000000000000" // 0x000000000a000000
  #define PRINT_TEST_ten_neg             "-000000000010.0000000000000000000000" // 0xfffffffff6000000
  #define PRINT_TEST_max                 " 549755813887.9999997615814208984375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-549755813888.0000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-549755813888.0000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(       741455,2001893520355224609375) // 0x00000b504f333f9c
  // Max was FIXNUM( 549755813887.9999997615814208984375), sqrt was  000000741455.2001893520355224609375, difference  000000000000.0000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-          15,2492380142211914062500) // 0xfffffffff0c031f0, actual -15.249237972318796963, difference: 4.1902394443127377599e-08 epsilon: 2.38419e-07 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(           27,0327398777008056640625) // 0x000000001b0861a4, actual 27.032740041837868716, difference: 1.6413706305229425197e-07 epsilon: 2.38419e-07 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-          22,0000000000000000000000) // 0xffffffffea000000, actual -22, difference: 0 epsilon: 2.38419e-07 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(           39,0000000000000000000000) // 0x0000000027000000, actual 39, difference: 0 epsilon: 2.38419e-07 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-           6,6226599216461181640625) // 0xfffffffff960995c, actual -6.6226599046075866895, difference: 1.7038531474611318117e-08 epsilon: 2.38419e-07 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(           11,7401697635650634765625) // 0x000000000bbd7bc4, actual 11.740169830895267111, difference: 6.7330203634696772497e-08 epsilon: 2.38419e-07 larger: 0
#endif /* FIX_INT_BITS == 40 */
#if FIX_INT_BITS == 41
  #define PRINT_TEST_zero                " 0000000000000.000000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000.500000000000000000000" // 0x0000000000400000
  #define PRINT_TEST_half_neg            "-0000000000000.500000000000000000000" // 0xffffffffffc00000
  #define PRINT_TEST_one                 " 0000000000001.000000000000000000000" // 0x0000000000800000
  #define PRINT_TEST_one_neg             "-0000000000001.000000000000000000000" // 0xffffffffff800000
  #define PRINT_TEST_two                 " 0000000000002.000000000000000000000" // 0x0000000001000000
  #define PRINT_TEST_epsilon             " 0000000000000.000000476837158203125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000002.718281745910644531250" // 0x00000000015bf0a8
  #define PRINT_TEST_e_neg               "-0000000000002.718281745910644531250" // 0xfffffffffea40f58
  #define PRINT_TEST_pi                  " 0000000000003.141592502593994140625" // 0x0000000001921fb4
  #define PRINT_TEST_pi_neg              "-0000000000003.141592502593994140625" // 0xfffffffffe6de04c
  #define PRINT_TEST_tau                 " 0000000000006.283185482025146484375" // 0x0000000003243f6c
  #define PRINT_TEST_tau_neg             "-0000000000006.283185482025146484375" // 0xfffffffffcdbc094
  #define PRINT_TEST_ten                 " 0000000000010.000000000000000000000" // 0x0000000005000000
  #define PRINT_TEST_ten_neg             "-0000000000010.000000000000000000000" // 0xfffffffffb000000
  #define PRINT_TEST_max                 " 1099511627775.999999523162841796875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-1099511627776.000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                                " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-1099511627776.000000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                                " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                                " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                                " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(       1048576,000000000000000000000) // 0x0000080000000000
  // Max was FIXNUM( 1099511627775.999999523162841796875), sqrt was  0000001048576.000000000000000000000, difference  0000000000000.000000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-           14,556090831756591796875) // 0xfffffffff8b8d204, actual -14.556090791758851566, difference: 3.9997740231001444045e-08 epsilon: 4.76837e-07 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(            27,725886821746826171875) // 0x000000000ddce9dc, actual 27.725887222397812337, difference: 4.0065098616537397902e-07 epsilon: 4.76837e-07 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-           21,000000000000000000000) // 0xfffffffff5800000, actual -21, difference: 0 epsilon: 4.76837e-07 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(            40,000000000000000000000) // 0x0000000014000000, actual 40, difference: 0 epsilon: 4.76837e-07 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-            6,321630001068115234375) // 0xfffffffffcd6d4d4, actual -6.3216299089436054359, difference: 9.2124509798452436371e-08 epsilon: 4.76837e-07 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(            12,041199684143066406250) // 0x0000000006054608, actual 12.041199826559248365, difference: 1.4241618195853789075e-07 epsilon: 4.76837e-07 larger: 0
#endif /* FIX_INT_BITS == 41 */
#if FIX_INT_BITS == 42
  #define PRINT_TEST_zero                " 0000000000000.00000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000.50000000000000000000" // 0x0000000000200000
  #define PRINT_TEST_half_neg            "-0000000000000.50000000000000000000" // 0xffffffffffe00000
  #define PRINT_TEST_one                 " 0000000000001.00000000000000000000" // 0x0000000000400000
  #define PRINT_TEST_one_neg             "-0000000000001.00000000000000000000" // 0xffffffffffc00000
  #define PRINT_TEST_two                 " 0000000000002.00000000000000000000" // 0x0000000000800000
  #define PRINT_TEST_epsilon             " 0000000000000.00000095367431640625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000002.71828174591064453125" // 0x0000000000adf854
  #define PRINT_TEST_e_neg               "-0000000000002.71828174591064453125" // 0xffffffffff5207ac
  #define PRINT_TEST_pi                  " 0000000000003.14159297943115234375" // 0x0000000000c90fdc
  #define PRINT_TEST_pi_neg              "-0000000000003.14159297943115234375" // 0xffffffffff36f024
  #define PRINT_TEST_tau                 " 0000000000006.28318500518798828125" // 0x0000000001921fb4
  #define PRINT_TEST_tau_neg             "-0000000000006.28318500518798828125" // 0xfffffffffe6de04c
  #define PRINT_TEST_ten                 " 0000000000010.00000000000000000000" // 0x0000000002800000
  #define PRINT_TEST_ten_neg             "-0000000000010.00000000000000000000" // 0xfffffffffd800000
  #define PRINT_TEST_max                 " 2199023255551.99999904632568359375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-2199023255552.00000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                               " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-2199023255552.00000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                               " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                               " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                               " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(       1482910,40037918090820312500) // 0x000005a827999fd0
  // Max was FIXNUM( 2199023255551.99999904632568359375), sqrt was  0000001482910.40037918090820312500, difference  0000000000000.00000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-           13,86294364929199218750) // 0xfffffffffc88c588, actual -13.862943611198906169, difference: 3.809308601887551049e-08 epsilon: 9.53674e-07 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(            28,41903400421142578125) // 0x00000000071ad174, actual 28.419034402957755958, difference: 3.9874633017689120607e-07 epsilon: 9.53674e-07 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-           20,00000000000000000000) // 0xfffffffffb000000, actual -20, difference: 0 epsilon: 9.53674e-07 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(            41,00000000000000000000) // 0x000000000a400000, actual 41, difference: 0 epsilon: 9.53674e-07 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-            6,02060031890869140625) // 0xfffffffffe7eae7c, actual -6.0205999132796241824, difference: 4.0562906722385605462e-07 epsilon: 9.53674e-07 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(            12,34222984313964843750) // 0x000000000315e718, actual 12.342229822223229618, difference: -2.0916418819183490996e-08 epsilon: 9.53674e-07 larger: 0
#endif /* FIX_INT_BITS == 42 */
#if FIX_INT_BITS == 43
  #define PRINT_TEST_zero                " 0000000000000.0000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000.5000000000000000000" // 0x0000000000100000
  #define PRINT_TEST_half_neg            "-0000000000000.5000000000000000000" // 0xfffffffffff00000
  #define PRINT_TEST_one                 " 0000000000001.0000000000000000000" // 0x0000000000200000
  #define PRINT_TEST_one_neg             "-0000000000001.0000000000000000000" // 0xffffffffffe00000
  #define PRINT_TEST_two                 " 0000000000002.0000000000000000000" // 0x0000000000400000
  #define PRINT_TEST_epsilon             " 0000000000000.0000019073486328125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000002.7182826995849609375" // 0x000000000056fc2c
  #define PRINT_TEST_e_neg               "-0000000000002.7182826995849609375" // 0xffffffffffa903d4
  #define PRINT_TEST_pi                  " 0000000000003.1415920257568359375" // 0x00000000006487ec
  #define PRINT_TEST_pi_neg              "-0000000000003.1415920257568359375" // 0xffffffffff9b7814
  #define PRINT_TEST_tau                 " 0000000000006.2831859588623046875" // 0x0000000000c90fdc
  #define PRINT_TEST_tau_neg             "-0000000000006.2831859588623046875" // 0xffffffffff36f024
  #define PRINT_TEST_ten                 " 0000000000010.0000000000000000000" // 0x0000000001400000
  #define PRINT_TEST_ten_neg             "-0000000000010.0000000000000000000" // 0xfffffffffec00000
  #define PRINT_TEST_max                 " 4398046511103.9999980926513671875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-4398046511104.0000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                              " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-4398046511104.0000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                              " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                              " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                              " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(       2097152,0000000000000000000) // 0x0000040000000000
  // Max was FIXNUM( 4398046511103.9999980926513671875), sqrt was  0000002097152.0000000000000000000, difference  0000000000000.0000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-           13,1697978973388671875) // 0xfffffffffe5a9104, actual -13.169796430638960771, difference: 1.4666999064161245769e-06 epsilon: 1.90735e-06 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(            29,1121807098388671875) // 0x0000000003a396fc, actual 29.112181583517703132, difference: 8.7367883594424711191e-07 epsilon: 1.90735e-06 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-           19,0000000000000000000) // 0xfffffffffda00000, actual -19, difference: 0 epsilon: 1.90735e-06 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(            42,0000000000000000000) // 0x0000000005400000, actual 42, difference: 0 epsilon: 1.90735e-06 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-            5,7195701599121093750) // 0xffffffffff48f948, actual -5.7195699176156429289, difference: 2.4229646644613467288e-07 epsilon: 1.90735e-06 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(            12,6432590484619140625) // 0x0000000001949594, actual 12.643259817887210872, difference: 7.6942529680934512726e-07 epsilon: 1.90735e-06 larger: 0
#endif /* FIX_INT_BITS == 43 */
#if FIX_INT_BITS == 44
  #define PRINT_TEST_zero                " 0000000000000.000000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000.500000000000000000" // 0x0000000000080000
  #define PRINT_TEST_half_neg            "-0000000000000.500000000000000000" // 0xfffffffffff80000
  #define PRINT_TEST_one                 " 0000000000001.000000000000000000" // 0x0000000000100000
  #define PRINT_TEST_one_neg             "-0000000000001.000000000000000000" // 0xfffffffffff00000
  #define PRINT_TEST_two                 " 0000000000002.000000000000000000" // 0x0000000000200000
  #define PRINT_TEST_epsilon             " 0000000000000.000003814697265625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000002.718280792236328125" // 0x00000000002b7e14
  #define PRINT_TEST_e_neg               "-0000000000002.718280792236328125" // 0xffffffffffd481ec
  #define PRINT_TEST_pi                  " 0000000000003.141593933105468750" // 0x00000000003243f8
  #define PRINT_TEST_pi_neg              "-0000000000003.141593933105468750" // 0xffffffffffcdbc08
  #define PRINT_TEST_tau                 " 0000000000006.283184051513671875" // 0x00000000006487ec
  #define PRINT_TEST_tau_neg             "-0000000000006.283184051513671875" // 0xffffffffff9b7814
  #define PRINT_TEST_ten                 " 0000000000010.000000000000000000" // 0x0000000000a00000
  #define PRINT_TEST_ten_neg             "-0000000000010.000000000000000000" // 0xffffffffff600000
  #define PRINT_TEST_max                 " 8796093022207.999996185302734375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-8796093022208.000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                             " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-8796093022208.000000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                             " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                             " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                             " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(       2965820,800758361816406250) // 0x000002d413cccfe8
  // Max was FIXNUM( 8796093022207.999996185302734375), sqrt was  0000002965820.800758361816406250, difference  0000000000000.000000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-           12,476650238037109375) // 0xffffffffff385fa4, actual -12.476649250079015374, difference: 9.8795809400087364338e-07 epsilon: 3.8147e-06 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(            29,805328369140625000) // 0x0000000001dce2a0, actual 29.805328764077646753, difference: 3.9493702175263933896e-07 epsilon: 3.8147e-06 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-           18,000000000000000000) // 0xfffffffffee00000, actual -18, difference: 0 epsilon: 3.8147e-06 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(            43,000000000000000000) // 0x0000000002b00000, actual 43, difference: 0 epsilon: 3.8147e-06 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-            5,418540954589843750) // 0xffffffffffa94da8, actual -5.4185399219516616753, difference: 1.0326381820746632911e-06 epsilon: 3.8147e-06 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(            12,944290161132812500) // 0x0000000000cf1bd0, actual 12.944289813551192125, difference: -3.4758162037462625449e-07 epsilon: 3.8147e-06 larger: 0
#endif /* FIX_INT_BITS == 44 */
#if FIX_INT_BITS == 45
  #define PRINT_TEST_zero                " 00000000000000.00000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000000.50000000000000000" // 0x0000000000040000
  #define PRINT_TEST_half_neg            "-00000000000000.50000000000000000" // 0xfffffffffffc0000
  #define PRINT_TEST_one                 " 00000000000001.00000000000000000" // 0x0000000000080000
  #define PRINT_TEST_one_neg             "-00000000000001.00000000000000000" // 0xfffffffffff80000
  #define PRINT_TEST_two                 " 00000000000002.00000000000000000" // 0x0000000000100000
  #define PRINT_TEST_epsilon             " 00000000000000.00000762939453125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000000002.71828460693359375" // 0x000000000015bf0c
  #define PRINT_TEST_e_neg               "-00000000000002.71828460693359375" // 0xffffffffffea40f4
  #define PRINT_TEST_pi                  " 00000000000003.14159393310546875" // 0x00000000001921fc
  #define PRINT_TEST_pi_neg              "-00000000000003.14159393310546875" // 0xffffffffffe6de04
  #define PRINT_TEST_tau                 " 00000000000006.28318786621093750" // 0x00000000003243f8
  #define PRINT_TEST_tau_neg             "-00000000000006.28318786621093750" // 0xffffffffffcdbc08
  #define PRINT_TEST_ten                 " 00000000000010.00000000000000000" // 0x0000000000500000
  #define PRINT_TEST_ten_neg             "-00000000000010.00000000000000000" // 0xffffffffffb00000
  #define PRINT_TEST_max                 " 17592186044415.99999237060546875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-17592186044416.00000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                             " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-17592186044416.00000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                             " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                             " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                             " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(        4194304,00000000000000000) // 0x0000020000000000
  // Max was FIXNUM( 17592186044415.99999237060546875), sqrt was  00000004194304.00000000000000000, difference  00000000000000.00000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-            11,78350830078125000) // 0xffffffffffa1bb60, actual -11.783502069519069977, difference: 6.2312621800231227098e-06 epsilon: 7.62939e-06 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(             30,49847412109375000) // 0x0000000000f3fce0, actual 30.498475944637593926, difference: 1.8235438439262452448e-06 epsilon: 7.62939e-06 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-            17,00000000000000000) // 0xffffffffff780000, actual -17, difference: 0 epsilon: 7.62939e-06 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(             44,00000000000000000) // 0x0000000001600000, actual 44, difference: 0 epsilon: 7.62939e-06 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-             5,11751556396484375) // 0xffffffffffd70f54, actual -5.1175099262876804218, difference: 5.6376771633281919094e-06 epsilon: 7.62939e-06 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(             13,24531555175781250) // 0x000000000069f668, actual 13.245319809215173379, difference: 4.2574573608789023638e-06 epsilon: 7.62939e-06 larger: 0
#endif /* FIX_INT_BITS == 45 */
#if FIX_INT_BITS == 46
  #define PRINT_TEST_zero                " 00000000000000.0000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000000.5000000000000000" // 0x0000000000020000
  #define PRINT_TEST_half_neg            "-00000000000000.5000000000000000" // 0xfffffffffffe0000
  #define PRINT_TEST_one                 " 00000000000001.0000000000000000" // 0x0000000000040000
  #define PRINT_TEST_one_neg             "-00000000000001.0000000000000000" // 0xfffffffffffc0000
  #define PRINT_TEST_two                 " 00000000000002.0000000000000000" // 0x0000000000080000
  #define PRINT_TEST_epsilon             " 00000000000000.0000152587890625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000000002.7182769775390625" // 0x00000000000adf84
  #define PRINT_TEST_e_neg               "-00000000000002.7182769775390625" // 0xfffffffffff5207c
  #define PRINT_TEST_pi                  " 00000000000003.1415863037109375" // 0x00000000000c90fc
  #define PRINT_TEST_pi_neg              "-00000000000003.1415863037109375" // 0xfffffffffff36f04
  #define PRINT_TEST_tau                 " 00000000000006.2831878662109375" // 0x00000000001921fc
  #define PRINT_TEST_tau_neg             "-00000000000006.2831878662109375" // 0xffffffffffe6de04
  #define PRINT_TEST_ten                 " 00000000000010.0000000000000000" // 0x0000000000280000
  #define PRINT_TEST_ten_neg             "-00000000000010.0000000000000000" // 0xffffffffffd80000
  #define PRINT_TEST_max                 " 35184372088831.9999847412109375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-35184372088832.0000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                            " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-35184372088832.0000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                            " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                            " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                            " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(        5931641,6015167236328125) // 0x0000016a09e667f4
  // Max was FIXNUM( 35184372088831.9999847412109375), sqrt was  00000005931641.6015167236328125, difference  00000000000000.0000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-            11,0903625488281250) // 0xffffffffffd3a378, actual -11.09035488895912458, difference: 7.6598690004203717763e-06 epsilon: 1.52588e-05 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(             31,1916198730468750) // 0x00000000007cc438, actual 31.191623125197537547, difference: 3.2521506625471374718e-06 epsilon: 1.52588e-05 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-            16,0000000000000000) // 0xffffffffffc00000, actual -16, difference: 0 epsilon: 1.52588e-05 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(             45,0000000000000000) // 0x0000000000b40000, actual 45, difference: 0 epsilon: 1.52588e-05 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-             4,8164825439453125) // 0xffffffffffecbbec, actual -4.8164799306236991683, difference: 2.6133216133317205276e-06 epsilon: 1.52588e-05 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(             13,5463409423828125) // 0x0000000000362f74, actual 13.546349804879152856, difference: 8.8624963403560741426e-06 epsilon: 1.52588e-05 larger: 0
#endif /* FIX_INT_BITS == 46 */
#if FIX_INT_BITS == 47
  #define PRINT_TEST_zero                " 00000000000000.000000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000000.500000000000000" // 0x0000000000010000
  #define PRINT_TEST_half_neg            "-00000000000000.500000000000000" // 0xffffffffffff0000
  #define PRINT_TEST_one                 " 00000000000001.000000000000000" // 0x0000000000020000
  #define PRINT_TEST_one_neg             "-00000000000001.000000000000000" // 0xfffffffffffe0000
  #define PRINT_TEST_two                 " 00000000000002.000000000000000" // 0x0000000000040000
  #define PRINT_TEST_epsilon             " 00000000000000.000030517578125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000000002.718292236328125" // 0x0000000000056fc4
  #define PRINT_TEST_e_neg               "-00000000000002.718292236328125" // 0xfffffffffffa903c
  #define PRINT_TEST_pi                  " 00000000000003.141601562500000" // 0x0000000000064880
  #define PRINT_TEST_pi_neg              "-00000000000003.141601562500000" // 0xfffffffffff9b780
  #define PRINT_TEST_tau                 " 00000000000006.283172607421875" // 0x00000000000c90fc
  #define PRINT_TEST_tau_neg             "-00000000000006.283172607421875" // 0xfffffffffff36f04
  #define PRINT_TEST_ten                 " 00000000000010.000000000000000" // 0x0000000000140000
  #define PRINT_TEST_ten_neg             "-00000000000010.000000000000000" // 0xffffffffffec0000
  #define PRINT_TEST_max                 " 70368744177663.999969482421875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-70368744177664.000000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                           " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-70368744177664.000000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                           " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                           " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                           " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(        8388608,000000000000000) // 0x0000010000000000
  // Max was FIXNUM( 70368744177663.999969482421875), sqrt was  00000008388608.000000000000000, difference  00000000000000.000000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-            10,397216796875000) // 0xffffffffffeb34a0, actual -10.397207708399179182, difference: 9.0884758208176208427e-06 epsilon: 3.05176e-05 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(             31,884765625000000) // 0x00000000003fc500, actual 31.884770305757484721, difference: 4.6807574847207433777e-06 epsilon: 3.05176e-05 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-            15,000000000000000) // 0xffffffffffe20000, actual -15, difference: 0 epsilon: 3.05176e-05 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(             46,000000000000000) // 0x00000000005c0000, actual 46, difference: 0 epsilon: 3.05176e-05 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-             4,515472412109375) // 0xfffffffffff6f814, actual -4.5154499349597179148, difference: 2.2477149657085249146e-05 epsilon: 3.05176e-05 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(             13,847381591796875) // 0x00000000001bb1dc, actual 13.84737980054313411, difference: -1.7912537408903972391e-06 epsilon: 3.05176e-05 larger: 0
#endif /* FIX_INT_BITS == 47 */
#if FIX_INT_BITS == 48
  #define PRINT_TEST_zero                " 000000000000000.00000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000000.50000000000000" // 0x0000000000008000
  #define PRINT_TEST_half_neg            "-000000000000000.50000000000000" // 0xffffffffffff8000
  #define PRINT_TEST_one                 " 000000000000001.00000000000000" // 0x0000000000010000
  #define PRINT_TEST_one_neg             "-000000000000001.00000000000000" // 0xffffffffffff0000
  #define PRINT_TEST_two                 " 000000000000002.00000000000000" // 0x0000000000020000
  #define PRINT_TEST_epsilon             " 000000000000000.00006103515625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000000002.71826171875000" // 0x000000000002b7e0
  #define PRINT_TEST_e_neg               "-000000000000002.71826171875000" // 0xfffffffffffd4820
  #define PRINT_TEST_pi                  " 000000000000003.14160156250000" // 0x0000000000032440
  #define PRINT_TEST_pi_neg              "-000000000000003.14160156250000" // 0xfffffffffffcdbc0
  #define PRINT_TEST_tau                 " 000000000000006.28320312500000" // 0x0000000000064880
  #define PRINT_TEST_tau_neg             "-000000000000006.28320312500000" // 0xfffffffffff9b780
  #define PRINT_TEST_ten                 " 000000000000010.00000000000000" // 0x00000000000a0000
  #define PRINT_TEST_ten_neg             "-000000000000010.00000000000000" // 0xfffffffffff60000
  #define PRINT_TEST_max                 " 140737488355327.99993896484375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-140737488355328.00000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                           " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-140737488355328.00000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                           " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                           " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                           " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(        11863283,20300292968750) // 0x000000b504f333f8
  // Max was FIXNUM( 140737488355327.99993896484375), sqrt was  000000011863283.20300292968750, difference  000000000000000.00000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-              9,70410156250000) // 0xfffffffffff64bc0, actual -9.7040605278392337851, difference: 4.1034660766214869909e-05 epsilon: 6.10352e-05 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(              32,57788085937500) // 0x00000000002093f0, actual 32.577917486317431894, difference: 3.6626942431894349284e-05 epsilon: 6.10352e-05 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-             14,00000000000000) // 0xfffffffffff20000, actual -14, difference: 0 epsilon: 6.10352e-05 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(              47,00000000000000) // 0x00000000002f0000, actual 47, difference: 0 epsilon: 6.10352e-05 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-              4,21441650390625) // 0xfffffffffffbc91c, actual -4.2144199392957366612, difference: -3.4353894866612222359e-06 epsilon: 6.10352e-05 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(              14,14837646484375) // 0x00000000000e25fc, actual 14.148409796207115363, difference: 3.3331363365363131379e-05 epsilon: 6.10352e-05 larger: 0
#endif /* FIX_INT_BITS == 48 */
#if FIX_INT_BITS == 49
  #define PRINT_TEST_zero                " 000000000000000.0000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000000.5000000000000" // 0x0000000000004000
  #define PRINT_TEST_half_neg            "-000000000000000.5000000000000" // 0xffffffffffffc000
  #define PRINT_TEST_one                 " 000000000000001.0000000000000" // 0x0000000000008000
  #define PRINT_TEST_one_neg             "-000000000000001.0000000000000" // 0xffffffffffff8000
  #define PRINT_TEST_two                 " 000000000000002.0000000000000" // 0x0000000000010000
  #define PRINT_TEST_epsilon             " 000000000000000.0001220703125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000000002.7182617187500" // 0x0000000000015bf0
  #define PRINT_TEST_e_neg               "-000000000000002.7182617187500" // 0xfffffffffffea410
  #define PRINT_TEST_pi                  " 000000000000003.1416015625000" // 0x0000000000019220
  #define PRINT_TEST_pi_neg              "-000000000000003.1416015625000" // 0xfffffffffffe6de0
  #define PRINT_TEST_tau                 " 000000000000006.2832031250000" // 0x0000000000032440
  #define PRINT_TEST_tau_neg             "-000000000000006.2832031250000" // 0xfffffffffffcdbc0
  #define PRINT_TEST_ten                 " 000000000000010.0000000000000" // 0x0000000000050000
  #define PRINT_TEST_ten_neg             "-000000000000010.0000000000000" // 0xfffffffffffb0000
  #define PRINT_TEST_max                 " 281474976710655.9998779296875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-281474976710656.0000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                          " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-281474976710656.0000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                          " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                          " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                          " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(        16777216,0000000000000) // 0x0000008000000000
  // Max was FIXNUM( 281474976710655.9998779296875), sqrt was  000000016777216.0000000000000, difference  000000000000000.0000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-              9,0109863281250) // 0xfffffffffffb7e98, actual -9.0109133472792883879, difference: 7.2980845711612118976e-05 epsilon: 0.00012207 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(              33,2709960937500) // 0x000000000010a2b0, actual 33.271064666877371963, difference: 6.8573127371962527832e-05 epsilon: 0.00012207 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-             13,0000000000000) // 0xfffffffffff98000, actual -13, difference: 0 epsilon: 0.00012207 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(              48,0000000000000) // 0x0000000000180000, actual 48, difference: 0 epsilon: 0.00012207 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-              3,9134521484375) // 0xfffffffffffe0b14, actual -3.9133899436317554077, difference: 6.2204805744592306382e-05 epsilon: 0.00012207 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(              14,4493408203125) // 0x0000000000073984, actual 14.449439791871096617, difference: 9.8971558596616659997e-05 epsilon: 0.00012207 larger: 0
#endif /* FIX_INT_BITS == 49 */
#if FIX_INT_BITS == 50
  #define PRINT_TEST_zero                " 000000000000000.000000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000000.500000000000" // 0x0000000000002000
  #define PRINT_TEST_half_neg            "-000000000000000.500000000000" // 0xffffffffffffe000
  #define PRINT_TEST_one                 " 000000000000001.000000000000" // 0x0000000000004000
  #define PRINT_TEST_one_neg             "-000000000000001.000000000000" // 0xffffffffffffc000
  #define PRINT_TEST_two                 " 000000000000002.000000000000" // 0x0000000000008000
  #define PRINT_TEST_epsilon             " 000000000000000.000244140625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000000002.718261718750" // 0x000000000000adf8
  #define PRINT_TEST_e_neg               "-000000000000002.718261718750" // 0xffffffffffff5208
  #define PRINT_TEST_pi                  " 000000000000003.141601562500" // 0x000000000000c910
  #define PRINT_TEST_pi_neg              "-000000000000003.141601562500" // 0xffffffffffff36f0
  #define PRINT_TEST_tau                 " 000000000000006.283203125000" // 0x0000000000019220
  #define PRINT_TEST_tau_neg             "-000000000000006.283203125000" // 0xfffffffffffe6de0
  #define PRINT_TEST_ten                 " 000000000000010.000000000000" // 0x0000000000028000
  #define PRINT_TEST_ten_neg             "-000000000000010.000000000000" // 0xfffffffffffd8000
  #define PRINT_TEST_max                 " 562949953421311.999755859375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-562949953421312.000000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                         " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-562949953421312.000000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                         " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                         " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                         " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(        23726566,406005859375) // 0x0000005a827999fc
  // Max was FIXNUM( 562949953421311.999755859375), sqrt was  000000023726566.406005859375, difference  000000000000000.000000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-              8,317871093750) // 0xfffffffffffdeba8, actual -8.3177661667193429906, difference: 0.00010492703065700936804 epsilon: 0.000244141 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(              33,964111328125) // 0x0000000000087db4, actual 33.964211847437319136, difference: 0.00010051931231913613374 epsilon: 0.000244141 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-             12,000000000000) // 0xfffffffffffd0000, actual -12, difference: 0 epsilon: 0.000244141 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(              49,000000000000) // 0x00000000000c4000, actual 49, difference: 0 epsilon: 0.000244141 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-              3,612548828125) // 0xffffffffffff18cc, actual -3.6123599479677741542, difference: 0.000188880157225845835 epsilon: 0.000244141 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(              14,750488281250) // 0x000000000003b008, actual 14.75046978753507787, difference: -1.8493714922129811384e-05 epsilon: 0.000244141 larger: 0
#endif /* FIX_INT_BITS == 50 */
#if FIX_INT_BITS == 51
  #define PRINT_TEST_zero                " 0000000000000000.00000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000000.50000000000" // 0x0000000000001000
  #define PRINT_TEST_half_neg            "-0000000000000000.50000000000" // 0xfffffffffffff000
  #define PRINT_TEST_one                 " 0000000000000001.00000000000" // 0x0000000000002000
  #define PRINT_TEST_one_neg             "-0000000000000001.00000000000" // 0xffffffffffffe000
  #define PRINT_TEST_two                 " 0000000000000002.00000000000" // 0x0000000000004000
  #define PRINT_TEST_epsilon             " 0000000000000000.00048828125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000000002.71826171875" // 0x00000000000056fc
  #define PRINT_TEST_e_neg               "-0000000000000002.71826171875" // 0xffffffffffffa904
  #define PRINT_TEST_pi                  " 0000000000000003.14160156250" // 0x0000000000006488
  #define PRINT_TEST_pi_neg              "-0000000000000003.14160156250" // 0xffffffffffff9b78
  #define PRINT_TEST_tau                 " 0000000000000006.28320312500" // 0x000000000000c910
  #define PRINT_TEST_tau_neg             "-0000000000000006.28320312500" // 0xffffffffffff36f0
  #define PRINT_TEST_ten                 " 0000000000000010.00000000000" // 0x0000000000014000
  #define PRINT_TEST_ten_neg             "-0000000000000010.00000000000" // 0xfffffffffffec000
  #define PRINT_TEST_max                 " 1125899906842623.99951171875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-1125899906842624.00000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                         " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-1125899906842624.00000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                         " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                         " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                         " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(         33554432,00000000000) // 0x0000004000000000
  // Max was FIXNUM( 1125899906842623.99951171875), sqrt was  0000000033554432.00000000000, difference  0000000000000000.00000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-               7,62500000000) // 0xffffffffffff0c00, actual -7.6246189861593984816, difference: 0.00038101384060151843869 epsilon: 0.000488281 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(               34,65722656250) // 0x0000000000045508, actual 34.65735902799726631, difference: 0.00013246549726630973964 epsilon: 0.000488281 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-              11,00000000000) // 0xfffffffffffea000, actual -11, difference: 0 epsilon: 0.000488281 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(               50,00000000000) // 0x0000000000064000, actual 50, difference: 0 epsilon: 0.000488281 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-               3,31152343750) // 0xffffffffffff9608, actual -3.3113299523037933447, difference: 0.00019348519620665527441 epsilon: 0.000488281 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(               15,05126953125) // 0x000000000001e1a4, actual 15.051499783199059124, difference: 0.00023025194905912371723 epsilon: 0.000488281 larger: 0
#endif /* FIX_INT_BITS == 51 */
#if FIX_INT_BITS == 52
  #define PRINT_TEST_zero                " 0000000000000000.0000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000000.5000000000" // 0x0000000000000800
  #define PRINT_TEST_half_neg            "-0000000000000000.5000000000" // 0xfffffffffffff800
  #define PRINT_TEST_one                 " 0000000000000001.0000000000" // 0x0000000000001000
  #define PRINT_TEST_one_neg             "-0000000000000001.0000000000" // 0xfffffffffffff000
  #define PRINT_TEST_two                 " 0000000000000002.0000000000" // 0x0000000000002000
  #define PRINT_TEST_epsilon             " 0000000000000000.0009765625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000000002.7187500000" // 0x0000000000002b80
  #define PRINT_TEST_e_neg               "-0000000000000002.7187500000" // 0xffffffffffffd480
  #define PRINT_TEST_pi                  " 0000000000000003.1416015625" // 0x0000000000003244
  #define PRINT_TEST_pi_neg              "-0000000000000003.1416015625" // 0xffffffffffffcdbc
  #define PRINT_TEST_tau                 " 0000000000000006.2832031250" // 0x0000000000006488
  #define PRINT_TEST_tau_neg             "-0000000000000006.2832031250" // 0xffffffffffff9b78
  #define PRINT_TEST_ten                 " 0000000000000010.0000000000" // 0x000000000000a000
  #define PRINT_TEST_ten_neg             "-0000000000000010.0000000000" // 0xffffffffffff6000
  #define PRINT_TEST_max                 " 2251799813685247.9990234375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-2251799813685248.0000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                        " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-2251799813685248.0000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                        " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                        " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                        " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(         47453132,8125000000) // 0x0000002d413ccd00
  // Max was FIXNUM( 2251799813685247.9990234375), sqrt was  0000000047453132.8125000000, difference  0000000000000000.0000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-               6,9316406250) // 0xffffffffffff9118, actual -6.9314718055994530843, difference: 0.00016881940054691568776 epsilon: 0.000976562 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(               35,3505859375) // 0x000000000002359c, actual 35.350506208557213483, difference: -7.9728942786516654451e-05 epsilon: 0.000976562 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-              10,0000000000) // 0xffffffffffff6000, actual -10, difference: 0 epsilon: 0.000976562 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(               51,0000000000) // 0x0000000000033000, actual 51, difference: 0 epsilon: 0.000976562 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-               3,0107421875) // 0xffffffffffffcfd4, actual -3.0102999566398120912, difference: 0.00044223086018790880303 epsilon: 0.000976562 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(               15,3525390625) // 0x000000000000f5a4, actual 15.352529778863040377, difference: -9.2836369596227541479e-06 epsilon: 0.000976562 larger: 0
#endif /* FIX_INT_BITS == 52 */
#if FIX_INT_BITS == 53
  #define PRINT_TEST_zero                " 0000000000000000.000000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000000.500000000" // 0x0000000000000400
  #define PRINT_TEST_half_neg            "-0000000000000000.500000000" // 0xfffffffffffffc00
  #define PRINT_TEST_one                 " 0000000000000001.000000000" // 0x0000000000000800
  #define PRINT_TEST_one_neg             "-0000000000000001.000000000" // 0xfffffffffffff800
  #define PRINT_TEST_two                 " 0000000000000002.000000000" // 0x0000000000001000
  #define PRINT_TEST_epsilon             " 0000000000000000.001953125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000000002.718750000" // 0x00000000000015c0
  #define PRINT_TEST_e_neg               "-0000000000000002.718750000" // 0xffffffffffffea40
  #define PRINT_TEST_pi                  " 0000000000000003.140625000" // 0x0000000000001920
  #define PRINT_TEST_pi_neg              "-0000000000000003.140625000" // 0xffffffffffffe6e0
  #define PRINT_TEST_tau                 " 0000000000000006.283203125" // 0x0000000000003244
  #define PRINT_TEST_tau_neg             "-0000000000000006.283203125" // 0xffffffffffffcdbc
  #define PRINT_TEST_ten                 " 0000000000000010.000000000" // 0x0000000000005000
  #define PRINT_TEST_ten_neg             "-0000000000000010.000000000" // 0xffffffffffffb000
  #define PRINT_TEST_max                 " 4503599627370495.998046875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-4503599627370496.000000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                       " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-4503599627370496.000000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                       " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                       " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                       " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(         67108864,000000000) // 0x0000002000000000
  // Max was FIXNUM( 4503599627370495.998046875), sqrt was  0000000067108864.000000000, difference  0000000000000000.000000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-               6,238281250) // 0xffffffffffffce18, actual -6.2383246250395076871, difference: -4.3375039507687063178e-05 epsilon: 0.00195312 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(               36,042968750) // 0x0000000000012058, actual 36.043653389117153552, difference: 0.0006846391171535515241 epsilon: 0.00195312 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-               9,000000000) // 0xffffffffffffb800, actual -9, difference: 0 epsilon: 0.00195312 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(               52,000000000) // 0x000000000001a000, actual 52, difference: 0 epsilon: 0.00195312 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-               2,710937500) // 0xffffffffffffea50, actual -2.7092699609758308377, difference: 0.0016675390241691623316 epsilon: 0.00195312 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(               15,652343750) // 0x0000000000007d38, actual 15.653559774527021631, difference: 0.0012160245270216307745 epsilon: 0.00195312 larger: 0
#endif /* FIX_INT_BITS == 53 */
#if FIX_INT_BITS == 54
  #define PRINT_TEST_zero                " 0000000000000000.00000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000000.50000000" // 0x0000000000000200
  #define PRINT_TEST_half_neg            "-0000000000000000.50000000" // 0xfffffffffffffe00
  #define PRINT_TEST_one                 " 0000000000000001.00000000" // 0x0000000000000400
  #define PRINT_TEST_one_neg             "-0000000000000001.00000000" // 0xfffffffffffffc00
  #define PRINT_TEST_two                 " 0000000000000002.00000000" // 0x0000000000000800
  #define PRINT_TEST_epsilon             " 0000000000000000.00390625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000000002.71875000" // 0x0000000000000ae0
  #define PRINT_TEST_e_neg               "-0000000000000002.71875000" // 0xfffffffffffff520
  #define PRINT_TEST_pi                  " 0000000000000003.14062500" // 0x0000000000000c90
  #define PRINT_TEST_pi_neg              "-0000000000000003.14062500" // 0xfffffffffffff370
  #define PRINT_TEST_tau                 " 0000000000000006.28125000" // 0x0000000000001920
  #define PRINT_TEST_tau_neg             "-0000000000000006.28125000" // 0xffffffffffffe6e0
  #define PRINT_TEST_ten                 " 0000000000000010.00000000" // 0x0000000000002800
  #define PRINT_TEST_ten_neg             "-0000000000000010.00000000" // 0xffffffffffffd800
  #define PRINT_TEST_max                 " 9007199254740991.99609375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-9007199254740992.00000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                      " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-9007199254740992.00000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                      " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                      " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                      " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(         94906265,62500000) // 0x00000016a09e6680
  // Max was FIXNUM( 9007199254740991.99609375), sqrt was  0000000094906265.62500000, difference  0000000000000000.00000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-               5,54687500) // 0xffffffffffffe9d0, actual -5.5451774444795622898, difference: 0.0016975555204377101859 epsilon: 0.00390625 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(               36,73437500) // 0x00000000000092f0, actual 36.736800569677100725, difference: 0.00242556967710072513 epsilon: 0.00390625 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-               8,00000000) // 0xffffffffffffe000, actual -8, difference: 0 epsilon: 0.00390625 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(               53,00000000) // 0x000000000000d400, actual 53, difference: 0 epsilon: 0.00390625 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-               2,41015625) // 0xfffffffffffff65c, actual -2.4082399653118495841, difference: 0.0019162846881504158603 epsilon: 0.00390625 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(               15,95312500) // 0x0000000000003fd0, actual 15.954589770191002884, difference: 0.0014647701910028843031 epsilon: 0.00390625 larger: 0
#endif /* FIX_INT_BITS == 54 */
#if FIX_INT_BITS == 55
  #define PRINT_TEST_zero                " 00000000000000000.0000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000000000.5000000" // 0x0000000000000100
  #define PRINT_TEST_half_neg            "-00000000000000000.5000000" // 0xffffffffffffff00
  #define PRINT_TEST_one                 " 00000000000000001.0000000" // 0x0000000000000200
  #define PRINT_TEST_one_neg             "-00000000000000001.0000000" // 0xfffffffffffffe00
  #define PRINT_TEST_two                 " 00000000000000002.0000000" // 0x0000000000000400
  #define PRINT_TEST_epsilon             " 00000000000000000.0078125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000000000002.7187500" // 0x0000000000000570
  #define PRINT_TEST_e_neg               "-00000000000000002.7187500" // 0xfffffffffffffa90
  #define PRINT_TEST_pi                  " 00000000000000003.1406250" // 0x0000000000000648
  #define PRINT_TEST_pi_neg              "-00000000000000003.1406250" // 0xfffffffffffff9b8
  #define PRINT_TEST_tau                 " 00000000000000006.2812500" // 0x0000000000000c90
  #define PRINT_TEST_tau_neg             "-00000000000000006.2812500" // 0xfffffffffffff370
  #define PRINT_TEST_ten                 " 00000000000000010.0000000" // 0x0000000000001400
  #define PRINT_TEST_ten_neg             "-00000000000000010.0000000" // 0xffffffffffffec00
  #define PRINT_TEST_max                 " 18014398509481983.9921875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-18014398509481984.0000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                      " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-18014398509481984.0000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                      " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                      " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                      " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(         134217728,0000000) // 0x0000001000000000
  // Max was FIXNUM( 18014398509481983.9921875), sqrt was  00000000134217728.0000000, difference  00000000000000000.0000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-                4,8515625) // 0xfffffffffffff64c, actual -4.8520302639196168926, difference: -0.00046776391961689256505 epsilon: 0.0078125 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(                37,4296875) // 0x0000000000004adc, actual 37.429947750237047899, difference: 0.00026025023704789873591 epsilon: 0.0078125 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-                7,0000000) // 0xfffffffffffff200, actual -7, difference: 0 epsilon: 0.0078125 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(                54,0000000) // 0x0000000000006c00, actual 54, difference: 0 epsilon: 0.0078125 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-                2,1093750) // 0xfffffffffffffbc8, actual -2.1072099696478683306, difference: 0.0021650303521316693889 epsilon: 0.0078125 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(                16,2500000) // 0x0000000000002080, actual 16.255619765854984138, difference: 0.0056197658549841378317 epsilon: 0.0078125 larger: 0
#endif /* FIX_INT_BITS == 55 */
#if FIX_INT_BITS == 56
  #define PRINT_TEST_zero                " 00000000000000000.000000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000000000.500000" // 0x0000000000000080
  #define PRINT_TEST_half_neg            "-00000000000000000.500000" // 0xffffffffffffff80
  #define PRINT_TEST_one                 " 00000000000000001.000000" // 0x0000000000000100
  #define PRINT_TEST_one_neg             "-00000000000000001.000000" // 0xffffffffffffff00
  #define PRINT_TEST_two                 " 00000000000000002.000000" // 0x0000000000000200
  #define PRINT_TEST_epsilon             " 00000000000000000.015625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000000000002.718750" // 0x00000000000002b8
  #define PRINT_TEST_e_neg               "-00000000000000002.718750" // 0xfffffffffffffd48
  #define PRINT_TEST_pi                  " 00000000000000003.140625" // 0x0000000000000324
  #define PRINT_TEST_pi_neg              "-00000000000000003.140625" // 0xfffffffffffffcdc
  #define PRINT_TEST_tau                 " 00000000000000006.281250" // 0x0000000000000648
  #define PRINT_TEST_tau_neg             "-00000000000000006.281250" // 0xfffffffffffff9b8
  #define PRINT_TEST_ten                 " 00000000000000010.000000" // 0x0000000000000a00
  #define PRINT_TEST_ten_neg             "-00000000000000010.000000" // 0xfffffffffffff600
  #define PRINT_TEST_max                 " 36028797018963967.984375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-36028797018963968.000000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                     " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-36028797018963968.000000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                     " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                     " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                     " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(         189812531,250000) // 0x0000000b504f3340
  // Max was FIXNUM( 36028797018963967.984375), sqrt was  00000000189812531.250000, difference  00000000000000000.000000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-                4,171875) // 0xfffffffffffffbd4, actual -4.1588830833596714953, difference: 0.012991916640328504684 epsilon: 0.015625 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(                38,125000) // 0x0000000000002620, actual 38.123094930796995072, difference: -0.0019050692030049276582 epsilon: 0.015625 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-                6,000000) // 0xfffffffffffffa00, actual -6, difference: 0 epsilon: 0.015625 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(                55,000000) // 0x0000000000003700, actual 55, difference: 0 epsilon: 0.015625 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-                1,812500) // 0xfffffffffffffe30, actual -1.8061799739838870771, difference: 0.0063200260161129229175 epsilon: 0.015625 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(                16,546875) // 0x000000000000108c, actual 16.556649761518965391, difference: 0.0097747615189653913603 epsilon: 0.015625 larger: 0
#endif /* FIX_INT_BITS == 56 */
#if FIX_INT_BITS == 57
  #define PRINT_TEST_zero                " 00000000000000000.00000" // 0x0000000000000000
  #define PRINT_TEST_half                " 00000000000000000.50000" // 0x0000000000000040
  #define PRINT_TEST_half_neg            "-00000000000000000.50000" // 0xffffffffffffffc0
  #define PRINT_TEST_one                 " 00000000000000001.00000" // 0x0000000000000080
  #define PRINT_TEST_one_neg             "-00000000000000001.00000" // 0xffffffffffffff80
  #define PRINT_TEST_two                 " 00000000000000002.00000" // 0x0000000000000100
  #define PRINT_TEST_epsilon             " 00000000000000000.03125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 00000000000000002.71875" // 0x000000000000015c
  #define PRINT_TEST_e_neg               "-00000000000000002.71875" // 0xfffffffffffffea4
  #define PRINT_TEST_pi                  " 00000000000000003.15625" // 0x0000000000000194
  #define PRINT_TEST_pi_neg              "-00000000000000003.15625" // 0xfffffffffffffe6c
  #define PRINT_TEST_tau                 " 00000000000000006.28125" // 0x0000000000000324
  #define PRINT_TEST_tau_neg             "-00000000000000006.28125" // 0xfffffffffffffcdc
  #define PRINT_TEST_ten                 " 00000000000000010.00000" // 0x0000000000000500
  #define PRINT_TEST_ten_neg             "-00000000000000010.00000" // 0xfffffffffffffb00
  #define PRINT_TEST_max                 " 72057594037927935.96875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-72057594037927936.00000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                    " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-72057594037927936.00000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                    " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                    " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                    " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(         268435456,00000) // 0x0000000800000000
  // Max was FIXNUM( 72057594037927935.96875), sqrt was  00000000268435456.00000, difference  00000000000000000.00000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-                3,46875) // 0xfffffffffffffe44, actual -3.4657359027997265422, difference: 0.0030140972002734578439 epsilon: 0.03125 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(                38,81250) // 0x0000000000001368, actual 38.816242111356935141, difference: 0.0037421113569351405204 epsilon: 0.03125 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-                5,00000) // 0xfffffffffffffd80, actual -5, difference: 0 epsilon: 0.03125 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(                56,00000) // 0x0000000000001c00, actual 56, difference: 0 epsilon: 0.03125 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-                1,53125) // 0xffffffffffffff3c, actual -1.5051499783199060456, difference: 0.026100021680093954402 epsilon: 0.03125 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(                16,84375) // 0x000000000000086c, actual 16.857679757182946645, difference: 0.013929757182946644889 epsilon: 0.03125 larger: 0
#endif /* FIX_INT_BITS == 57 */
#if FIX_INT_BITS == 58
  #define PRINT_TEST_zero                " 000000000000000000.0000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000000000.5000" // 0x0000000000000020
  #define PRINT_TEST_half_neg            "-000000000000000000.5000" // 0xffffffffffffffe0
  #define PRINT_TEST_one                 " 000000000000000001.0000" // 0x0000000000000040
  #define PRINT_TEST_one_neg             "-000000000000000001.0000" // 0xffffffffffffffc0
  #define PRINT_TEST_two                 " 000000000000000002.0000" // 0x0000000000000080
  #define PRINT_TEST_epsilon             " 000000000000000000.0625" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000000000002.6875" // 0x00000000000000ac
  #define PRINT_TEST_e_neg               "-000000000000000002.6875" // 0xffffffffffffff54
  #define PRINT_TEST_pi                  " 000000000000000003.1250" // 0x00000000000000c8
  #define PRINT_TEST_pi_neg              "-000000000000000003.1250" // 0xffffffffffffff38
  #define PRINT_TEST_tau                 " 000000000000000006.3125" // 0x0000000000000194
  #define PRINT_TEST_tau_neg             "-000000000000000006.3125" // 0xfffffffffffffe6c
  #define PRINT_TEST_ten                 " 000000000000000010.0000" // 0x0000000000000280
  #define PRINT_TEST_ten_neg             "-000000000000000010.0000" // 0xfffffffffffffd80
  #define PRINT_TEST_max                 " 144115188075855871.9375" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-144115188075855872.0000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                    " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-144115188075855872.0000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                    " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                    " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                    " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(          379625062,5000) // 0x00000005a82799a0
  // Max was FIXNUM( 144115188075855871.9375), sqrt was  000000000379625062.5000, difference  000000000000000000.0000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-                 2,8125) // 0xffffffffffffff4c, actual -2.7725887222397811449, difference: 0.039911277760218855093 epsilon: 0.0625 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(                 39,5000) // 0x00000000000009e0, actual 39.509389291916882314, difference: 0.0093892919168823141263 epsilon: 0.0625 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-                 4,0000) // 0xffffffffffffff00, actual -4, difference: 0 epsilon: 0.0625 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(                 57,0000) // 0x0000000000000e40, actual 57, difference: 0 epsilon: 0.0625 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-                 1,2500) // 0xffffffffffffffb0, actual -1.2041199826559247921, difference: 0.04588001734407520793 epsilon: 0.0625 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(                 17,1250) // 0x0000000000000448, actual 17.158709752846927898, difference: 0.033709752846927898418 epsilon: 0.0625 larger: 0
#endif /* FIX_INT_BITS == 58 */
#if FIX_INT_BITS == 59
  #define PRINT_TEST_zero                " 000000000000000000.000" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000000000.500" // 0x0000000000000010
  #define PRINT_TEST_half_neg            "-000000000000000000.500" // 0xfffffffffffffff0
  #define PRINT_TEST_one                 " 000000000000000001.000" // 0x0000000000000020
  #define PRINT_TEST_one_neg             "-000000000000000001.000" // 0xffffffffffffffe0
  #define PRINT_TEST_two                 " 000000000000000002.000" // 0x0000000000000040
  #define PRINT_TEST_epsilon             " 000000000000000000.125" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000000000002.750" // 0x0000000000000058
  #define PRINT_TEST_e_neg               "-000000000000000002.750" // 0xffffffffffffffa8
  #define PRINT_TEST_pi                  " 000000000000000003.125" // 0x0000000000000064
  #define PRINT_TEST_pi_neg              "-000000000000000003.125" // 0xffffffffffffff9c
  #define PRINT_TEST_tau                 " 000000000000000006.250" // 0x00000000000000c8
  #define PRINT_TEST_tau_neg             "-000000000000000006.250" // 0xffffffffffffff38
  #define PRINT_TEST_ten                 " 000000000000000010.000" // 0x0000000000000140
  #define PRINT_TEST_ten_neg             "-000000000000000010.000" // 0xfffffffffffffec0
  #define PRINT_TEST_max                 " 288230376151711743.875" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-288230376151711744.000" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                   " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-288230376151711744.000" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                   " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                   " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                   " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(          536870912,000) // 0x0000000400000000
  // Max was FIXNUM( 288230376151711743.875), sqrt was  000000000536870912.000, difference  000000000000000000.000 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-                 2,125) // 0xffffffffffffffbc, actual -2.0794415416798357477, difference: 0.045558458320164252342 epsilon: 0.125 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(                 40,125) // 0x0000000000000504, actual 40.202536472476829488, difference: 0.077536472476829487732 epsilon: 0.125 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-                 3,000) // 0xffffffffffffffa0, actual -3, difference: 0 epsilon: 0.125 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(                 58,000) // 0x0000000000000740, actual 58, difference: 0 epsilon: 0.125 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-                 1,000) // 0xffffffffffffffe0, actual -0.90308998699194353854, difference: 0.096910013008056461459 epsilon: 0.125 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(                 17,375) // 0x000000000000022c, actual 17.459739748510909152, difference: 0.084739748510909151946 epsilon: 0.125 larger: 0
#endif /* FIX_INT_BITS == 59 */
#if FIX_INT_BITS == 60
  #define PRINT_TEST_zero                " 000000000000000000.00" // 0x0000000000000000
  #define PRINT_TEST_half                " 000000000000000000.50" // 0x0000000000000008
  #define PRINT_TEST_half_neg            "-000000000000000000.50" // 0xfffffffffffffff8
  #define PRINT_TEST_one                 " 000000000000000001.00" // 0x0000000000000010
  #define PRINT_TEST_one_neg             "-000000000000000001.00" // 0xfffffffffffffff0
  #define PRINT_TEST_two                 " 000000000000000002.00" // 0x0000000000000020
  #define PRINT_TEST_epsilon             " 000000000000000000.25" // 0x0000000000000004
  #define PRINT_TEST_e                   " 000000000000000002.75" // 0x000000000000002c
  #define PRINT_TEST_e_neg               "-000000000000000002.75" // 0xffffffffffffffd4
  #define PRINT_TEST_pi                  " 000000000000000003.25" // 0x0000000000000034
  #define PRINT_TEST_pi_neg              "-000000000000000003.25" // 0xffffffffffffffcc
  #define PRINT_TEST_tau                 " 000000000000000006.25" // 0x0000000000000064
  #define PRINT_TEST_tau_neg             "-000000000000000006.25" // 0xffffffffffffff9c
  #define PRINT_TEST_ten                 " 000000000000000010.00" // 0x00000000000000a0
  #define PRINT_TEST_ten_neg             "-000000000000000010.00" // 0xffffffffffffff60
  #define PRINT_TEST_max                 " 576460752303423487.75" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-576460752303423488.00" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                  " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-576460752303423488.00" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                  " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                  " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                  " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(          759250125,00) // 0x00000002d413ccd0
  // Max was FIXNUM( 576460752303423487.75), sqrt was  000000000759250125.00, difference  000000000000000000.00 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-                 1,50) // 0xffffffffffffffe8, actual -1.3862943611198905725, difference: 0.11370563888010942755 epsilon: 0.25 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(                 40,75) // 0x000000000000028c, actual 40.895683653036776661, difference: 0.14568365303677666134 epsilon: 0.25 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-                 2,00) // 0xffffffffffffffe0, actual -2, difference: 0 epsilon: 0.25 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(                 59,00) // 0x00000000000003b0, actual 59, difference: 0 epsilon: 0.25 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-                 0,75) // 0xfffffffffffffff4, actual -0.60205999132796239603, difference: 0.14794000867203760397 epsilon: 0.25 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(                 17,75) // 0x000000000000011c, actual 17.760769744174890405, difference: 0.010769744174890405475 epsilon: 0.25 larger: 0
#endif /* FIX_INT_BITS == 60 */
#if FIX_INT_BITS == 61
  #define PRINT_TEST_zero                " 0000000000000000000.0" // 0x0000000000000000
  #define PRINT_TEST_half                " 0000000000000000000.5" // 0x0000000000000004
  #define PRINT_TEST_half_neg            "-0000000000000000000.5" // 0xfffffffffffffffc
  #define PRINT_TEST_one                 " 0000000000000000001.0" // 0x0000000000000008
  #define PRINT_TEST_one_neg             "-0000000000000000001.0" // 0xfffffffffffffff8
  #define PRINT_TEST_two                 " 0000000000000000002.0" // 0x0000000000000010
  #define PRINT_TEST_epsilon             " 0000000000000000000.5" // 0x0000000000000004
  #define PRINT_TEST_e                   " 0000000000000000002.5" // 0x0000000000000014
  #define PRINT_TEST_e_neg               "-0000000000000000002.5" // 0xffffffffffffffec
  #define PRINT_TEST_pi                  " 0000000000000000003.0" // 0x0000000000000018
  #define PRINT_TEST_pi_neg              "-0000000000000000003.0" // 0xffffffffffffffe8
  #define PRINT_TEST_tau                 " 0000000000000000006.5" // 0x0000000000000034
  #define PRINT_TEST_tau_neg             "-0000000000000000006.5" // 0xffffffffffffffcc
  #define PRINT_TEST_ten                 " 0000000000000000010.0" // 0x0000000000000050
  #define PRINT_TEST_ten_neg             "-0000000000000000010.0" // 0xffffffffffffffb0
  #define PRINT_TEST_max                 " 1152921504606846975.5" // 0x7ffffffffffffffc
  #define PRINT_TEST_min                 "-1152921504606846976.0" // 0x8000000000000000
  #define PRINT_TEST_int_max             " Inf                  " // 0x0000000000000002
  #define PRINT_TEST_int_max_neg         "-1152921504606846976.0" // 0x8000000000000000
  #define PRINT_TEST_inf                 " Inf                  " // 0x0000000000000002
  #define PRINT_TEST_inf_neg             "-Inf                  " // 0x0000000000000003
  #define PRINT_TEST_nan                 " NaN                  " // 0x0000000000000001
  #define SQRT_MAX_FIXED                 FIXNUM(          1073741824,0) // 0x0000000200000000
  // Max was FIXNUM( 1152921504606846975.5), sqrt was  0000000001073741824.0, difference  0000000000000000000.0 // 0x7ffffffffffffffc
  #define FIX_TEST_LN_epsilon            FIXNUM(-                  1,0) // 0xfffffffffffffff8, actual -0.69314718055994528623, difference: 0.30685281944005471377 epsilon: 0.5 larger: 0
  #define FIX_TEST_LN_max                FIXNUM(                  41,5) // 0x000000000000014c, actual 41.58883083359671673, difference: 0.088830833596716729517 epsilon: 0.5 larger: 0
  #define FIX_TEST_LOG2_epsilon          FIXNUM(-                  1,0) // 0xfffffffffffffff8, actual -1, difference: 0 epsilon: 0.5 larger: 0
  #define FIX_TEST_LOG2_max              FIXNUM(                  60,0) // 0x00000000000001e0, actual 60, difference: 0 epsilon: 0.5 larger: 0
  #define FIX_TEST_LOG10_epsilon         FIXNUM(-                  0,5) // 0xfffffffffffffffc, actual -0.30102999566398119802, difference: 0.19897000433601880198 epsilon: 0.5 larger: 0
  #define FIX_TEST_LOG10_max             FIXNUM(                  18,0) // 0x0000000000000090, actual 18.061799739838871659, difference: 0.061799739838871659003 epsilon: 0.5 larger: 0
#endif /* FIX_INT_BITS == 61 */

#endif