--- trunk/libf/phylmd/suphec.f90	2013/06/24 15:39:52	70
+++ trunk/Sources/phylmd/suphec.f	2016/06/06 17:42:15	201
@@ -1,26 +1,32 @@
 module suphec_m
 
+  use nr_util, only: pi
+
   implicit none
 
   ! A1.0 Fundamental constants
-  REAL RPI
-  real, parameter:: RCLUM = 299792458.
-  real, parameter:: RHPLA = 6.6260755E-34
+  real, parameter:: RCLUM = 299792458. ! speed of light, m s-1
+  real, parameter:: RHPLA = 6.6260755E-34 ! Planck constant, J s
   real, parameter:: KBOL = 1.380658E-23 ! Boltzmann constant, in J K-1
   real, parameter:: NAVO = 6.0221367E23 ! Avogadro number, in mol-1
 
   ! A1.1 Astronomical constants
-  REAL RSIYEA, RSIDAY, ROMEGA
+
+  REAL ROMEGA
   real, parameter:: RDAY = 86400.
-  real, parameter:: REA = 149597870000.
-  real, parameter:: REPSM = 0.409093
+
+  REAL, parameter:: RSIYEA = 365.25 * RDAY * 2. * PI / 6.283076
+  ! sideral year, in s
+
+  REAL, parameter:: RSIDAY = RDAY / (1. + RDAY / RSIYEA) ! sideral day, in s
 
   ! A1.2 Geoide
   real, parameter:: RG = 9.80665 ! acceleration of gravity, in m s-2
   real, parameter:: RA = 6371229.
 
   ! A1.3 Radiation
-  REAL RSIGMA
+  REAL, parameter:: rsigma = 2. * pi**5 * (kbol / rhpla)**3 * kbol / rclum**2 &
+       / 15.
 
   ! A1.4 Thermodynamic gas phase
   REAL, parameter:: R = NAVO * KBOL ! ideal gas constant, in J K-1 mol-1
@@ -36,31 +42,40 @@
   ! specific ideal gas constant for dry air, in J K-1 kg-1
   ! (factor 1e3: conversion from g to kg)
 
-  real RCPV, RCVD, RCVV
+  real, parameter:: RCPV = 4. * RV 
+  ! specific heat capacity at constant pressure of water vapor, in J K-1 kg-1
+
+  real, save:: RCVD
+  real, save:: RCVV
 
   real, parameter:: RCPD = 7. / 2 * RD 
-  ! specific heat capacity for dry air, in J K-1 kg-1
+  ! specific heat capacity at constant pressure of dry air, in J K-1 kg-1
 
   real, parameter:: RMO3 = 47.9942
   REAL, parameter:: RKAPPA = RD/RCPD
-  real RETV
+  real, save:: RETV
 
   ! A1.5, 6 Thermodynamic liquid, solid phases
-  REAL RCW, RCS
+
+  REAL, parameter:: RCW = RCPV ! LIQUID PHASE Cw
+  real, save:: RCS
 
   ! A1.7 Thermodynamic transition of phase
-  REAL RLMLT
+  REAL, save:: RLMLT
   real, parameter:: RTT = 273.16
-  real, parameter:: RLVTT = 2.5008E+6
+
+  real, parameter:: RLVTT = 2.5008E+6 
+  ! specific latent heat of vaporization of water at triple point, in J kg-1
+
   real, parameter:: RLSTT = 2.8345E+6
-  real, parameter:: RATM = 100000.
+  real, parameter:: RATM = 1e5
 
   ! A1.8 Curve of saturation
-  REAL RALPW, RBETW, RGAMW, RALPS, RBETS, RGAMS
+  REAL, save:: RALPW, RBETW, RGAMW, RALPS, RBETS, RGAMS
   real, parameter:: RESTT = 611.14
-  REAL RALPD, RBETD, RGAMD
+  REAL, save:: RALPD, RBETD, RGAMD
 
-  save
+  private pi
 
 contains
 
@@ -73,27 +88,11 @@
 
     PRINT *, 'Call sequence information: suphec'
 
-    ! 1. DEFINE FUNDAMENTAL CONSTANTS
-
-    print *, 'Constants of the ICM'
-    RPI = 2.*ASIN(1.)
-    print *, 'Fundamental constants '
-    print '('' PI = '', E13.7, '' -'')', RPI
-    print '('' c = '', E13.7, ''m s-1'')', RCLUM
-    print '('' h = '', E13.7, ''J s'')', RHPLA
-
     ! 2. DEFINE ASTRONOMICAL CONSTANTS
 
-    RSIYEA = 365.25*RDAY*2.*RPI/6.283076
-    RSIDAY = RDAY/(1.+RDAY/RSIYEA)
-    ROMEGA = 2.*RPI/RSIDAY
+    ROMEGA = 2.*PI/RSIDAY
 
     print *, 'Astronomical constants '
-    print '('' day = '', E13.7, '' s'')', RDAY
-    print '('' half g. axis = '', E13.7, '' m'')', REA
-    print '('' mean anomaly = '', E13.7, '' -'')', REPSM
-    print '('' sideral year = '', E13.7, '' s'')', RSIYEA
-    print '('' sideral day = '', E13.7, '' s'')', RSIDAY
     print '('' omega = '', E13.7, '' s-1'')', ROMEGA
 
     ! 3. DEFINE GEOIDE.
@@ -104,14 +103,12 @@
 
     ! 4. DEFINE RADIATION CONSTANTS.
 
-    rsigma = 2.*rpi**5 * (kbol/rhpla)**3 * kbol/rclum/rclum/15.
     print *, ' Radiation '
     print '('' Stefan-Bol. = '', E13.7, '' W m-2 K-4'')', RSIGMA
 
     ! 5. DEFINE THERMODYNAMIC CONSTANTS, GAS PHASE.
 
     RCVD = RCPD-RD
-    RCPV = 4. * RV
     RCVV = RCPV-RV
     RETV = RV / RD - 1.
     print *, 'Thermodynamics, gas'
@@ -120,17 +117,10 @@
     print *, "rv = ", RV, "J K-1 kg-1"
     print '('' Cpd = '', e13.7)', RCPD
     print '('' Cvd = '', e13.7)', RCVD
-    print '('' Cpv = '', e13.7)', RCPV
     print '('' Cvv = '', e13.7)', RCVV
     print '('' Rd/Cpd = '', e13.7)', RKAPPA
     print '('' Rv / Rd - 1 = '', e13.7)', RETV
 
-    ! 6. DEFINE THERMODYNAMIC CONSTANTS, LIQUID PHASE.
-
-    RCW = RCPV
-    print *, 'Thermodynamic, liquid '
-    print '('' Cw = '', E13.7)', RCW
-
     ! 7. DEFINE THERMODYNAMIC CONSTANTS, SOLID PHASE.
 
     RCS = RCPV
@@ -140,12 +130,11 @@
     ! 8. DEFINE THERMODYNAMIC CONSTANTS, TRANSITION OF PHASE.
 
     RLMLT = RLSTT-RLVTT
-    print *, 'Thermodynamic, trans. '
+    print *, 'Thermodynamic, transition of phase:'
     print '('' Fusion point = '', E13.7)', RTT
-    print '('' RLvTt = '', E13.7)', RLVTT
     print '('' RLsTt = '', E13.7)', RLSTT
     print '('' RLMlt = '', E13.7)', RLMLT
-    print '('' Normal press. = '', E13.7)', RATM
+    print '('' Normal pressure = '', E13.7)', RATM
 
     ! 9. SATURATED VAPOUR PRESSURE.