Good job on the bit level work getting this far, you are almost there.
"Big Endien versus little..."
https://gcc.gnu.org/onlinedocs/gfortran/CONVERT-specifier.html
http://www.lahey.com/docs/lfenthelp/F95ARINQUIREStmt.htm
https://software.intel.com/en-us/forums/intel-fortran-compiler-for-linux-and-mac-os-x/topic/270026
There is also manually shifting it https://www.nsc.liu.se/~boein/f77to90/a5.html#section10
MODULE Shifty
PRIVATE
INTERFACE Shift
MODULE PROCEDURE Shift4 !,Shift8
END INTERFACE
CONTAINS
REAL FUNCTION Shift4(MyFloat)
IMPLICIT NONE
REAL, INTENT(IN) :: MyFloat
INTEGER*4 :: Float1
INTEGER*4 :: Float2
INTEGER*4 :: Float3
INTEGER*4 :: Float4
INTEGER*4 :: MyInt
EQUIVALENCE(MyInt, MyFloat)
INTEGER*4 :: MyIntOut
EQUIVALENCE(MyIntOut, Shift4)
WRITE(*,20) MyInt
20 FORMAT('Incoming Real=',1PE12.5,' ==",Z8.8,'"')
Float1 = IBITS(MyInt, 0, 8)
Float2 = IBITS(MyInt, 8, 8)
Float3 = IBITS(MyInt,16, 8)
Float4 = IBITS(MyInt,24, 8)
WRITE(*,30) 1, Float1 !Check
WRITE(*,30) 2, Float2
WRITE(*,30) 3, Float3
WRITE(*,30) 4, Float4
30 FORMAT('Float',I1,'="',Z2.2,'"')
Float1 = ISHFT(Float1, 24)
Float2 = ISHFT(Float2, 16)
Float3 = ISHFT(Float3, 8)
Float4 = ISHFT(Float4, 0)
MyIntOut = IOR(Float1 , Float2)
MyIntOut = IOR(MyIntOut, Float3)
MyIntOut = IOR(MyIntOut, Float4)
WRITE(*,20) MyInt, MyIntOut
20 FORMAT('Incoming Real="',Z8.8,' Outgoing="',Z8.8,'"')
RETURN
END FUNCTION Shift4
END MODULE Shifty
PROGRAM MAT2F90
USE Shifty
IMPLICIT NONE
TYPE MATLAB_HEADER
CHARACTER(LEN=120) :: Descriptor !should be 116 and INT*8 !!
INTEGER*4 :: Offset
INTEGER*2 :: Version
CHARACTER(LEN=2) :: Endien
END TYPE MATLAB_HEADER
TYPE MATLAB_SUBHEADER
INTEGER*4 :: Type
INTEGER*4 :: Bytes
END TYPE MATLAB_SUB_HEADER
TYPE(MATLAB_HEADER) :: Head
TYPE(MATLAB_SUB_HEADER),DIMENSION(20) :: Tag
CHARACTER(LEN=12), DIMENSION(18) :: Matlab_Version = RESHAPE(&
['miINT8 ','miUINT8 ','miINT16 ','miUINT16 ', &
'miINT32 ','miUINT32 ','miSINGLE ','Reserved ', &
'miDOUBLE ','Reserved ','Reserved ','miINT64 ', &
'miUINT64 ','miMATRIX ','miCOMPRESSED','miUTF8 ', &
'miUTF16 ','miUTF32 '],[18])
LOGICAL :: Swap
...
OPEN(UNIT=22,FILE='<somename>',ACCESS='STREAM',FORM='UNFORMATTED',IOSTAT=Status)
IF(Status =/0 ) ...Do something
READ(20,IOSTAT=Status) Head
IF(Status =/0 ) ...Do something
WRITE(*,*)'Head.Descriptor="',Head.Descriptor,'"'
WRITE(*,*)'Head.Offset = ',Head.Offset
WRITE(*,*)'Head.Version = ',Head.Version
WRITE(*,*)'Head.Endien ="',Head.Endian,'"'
IF(Head.Endian == 'IM') THEN
SWAP = .FALSE.
ELSEIF(Head.Endian == 'MI') THEN
SWAP = .TRUE.
ELSE
WRITE(*,*)'Unknown Endien="',Head.Endian,'"'
STOP
ENDIF
READ(20,IOSTAT=Status) Tag(1)
IF(Status =/0 ) ...Do something
WRITE(*,*)'Tag(1).Type = ',Tag(1).Type,' == "',Matlab_Version(Tag(1).Type),'"'
WRITE(*,*)'Tag(1).Bytes= ',Tag(1).Bytes
!read and swap if need be...
!There is padding to an 8type boundary
!Read the next tag and data... etc
Section 1-5 to 1-9 https://data.cresis.ku.edu/data/mat_reader/matfile_format.pdf . You may notice like I did that type15 is 'miCOMPRESSED', so at that point one needs the uncompressor to make sense of it.
You'll need to test it like you did before, because it is easy for me to get the order wrong, and I am doing this by memory.(Updated as I was doing this today, but in a subroutine, so it should work as a function??)
I made it 4 in case you need an '8' version... And then you just call Shifty() and you can get the one that matches your data.