MOM6: (*)Use cuberoot in ePBL_column

- NOAA-GFDL/MOM6@671c85d32 (*)Use cuberoot in ePBL_column
MOM6: Break **3 into explicit integer cubes
MOM6: Refactor (re|de)scale functions
MOM6: Faster cuberoot scaling functions
- NOAA-GFDL/MOM6@76f066814 (*)Avoid using RHO_0 in non-Boussinesq averaging
- NOAA-GFDL/MOM6@541c2f479 (*)Oil_tracer_column_physics unit conversion fix
- NOAA-GFDL/MOM6@5ca70bac6 Open parameter block before querying BODNER23
MOM6: Add do_not_log to param block open/close
- NOAA-GFDL/MOM6@435ccaae4 Data table documentation (#551)
MOM6: Apply first iteration explicitly (#11)
- NOAA-GFDL/MOM6@4813b17c2 *Use Halley method iterations in cuberoot function
- NOAA-GFDL/MOM6@d7d126a7f Update Gaea F5 datasets path
- NOAA-GFDL/MOM6@a03bb957c +Add cuberoot function

ice_ocean_SIS2/Baltic_ALE_z_offline_tracers/MOM_parameter_doc.all

@@ -2009,6 +2009,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ice_ocean_SIS2/Baltic_OM4_025/MOM_parameter_doc.all

@@ -2055,6 +2055,9 @@ EPBL_ANSWER_DATE = 20181231 ! default = 20181231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ice_ocean_SIS2/Baltic_OM4_05/MOM_parameter_doc.all

@@ -2074,6 +2074,9 @@ EPBL_ANSWER_DATE = 20181231 ! default = 20181231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ice_ocean_SIS2/OM4_025/MOM_parameter_doc.all

@@ -2055,6 +2055,9 @@ EPBL_ANSWER_DATE = 20181231 ! default = 20181231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ice_ocean_SIS2/OM4_05/MOM_parameter_doc.all

@@ -2074,6 +2074,9 @@ EPBL_ANSWER_DATE = 20181231 ! default = 20181231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ice_ocean_SIS2/OM_1deg/MOM_parameter_doc.all

@@ -2033,6 +2033,9 @@ EPBL_ANSWER_DATE = 20181231 ! default = 20181231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ocean_only/CVmix_SCM_tests/cooling_only/EPBL/MOM_parameter_doc.all

@@ -1322,6 +1322,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ocean_only/CVmix_SCM_tests/mech_only/EPBL/MOM_parameter_doc.all

@@ -1322,6 +1322,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ocean_only/CVmix_SCM_tests/skin_warming_wind/EPBL/MOM_parameter_doc.all

@@ -1322,6 +1322,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ocean_only/CVmix_SCM_tests/wind_only/EPBL/MOM_parameter_doc.all

@@ -1322,6 +1322,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ocean_only/global_ALE/hycom/MOM_parameter_doc.all

@@ -2059,6 +2059,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ocean_only/global_ALE/z/MOM_parameter_doc.all

@@ -2006,6 +2006,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments

ocean_only/single_column/EPBL/MOM_parameter_doc.all

@@ -1476,6 +1476,9 @@ EPBL_ANSWER_DATE = 99991231 ! default = 99991231
  ! The vintage of the order of arithmetic and expressions in the energetic PBL
  ! calculations. Values below 20190101 recover the answers from the end of 2018,
  ! while higher values use updated and more robust forms of the same expressions.
+ ! Values below 20240101 use A**(1./3.) to estimate the cube root of A in several
+ ! expressions, while higher values use the integer root function cuberoot(A) and
+ ! therefore can work with scaled variables.
 EPBL_ORIGINAL_PE_CALC = True ! [Boolean] default = True
  ! If true, the ePBL code uses the original form of the potential energy change
  ! code. Otherwise, the newer version that can work with successive increments