# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc. include .help IEEE .nf ------------------------------------------------------------------------ Low level primitives for IEEE to native floating point datatype conversions. See also the MII package, which provides a higher level interface, and the IEEE related definitions in . ieepak[rd] (datum) # scalar conversions ieeupk[rd] (datum) ieevpak[rd] (native, ieee, nelem) # vector conversions ieevupk[rd] (ieee, native, nelem) iee[sg]nan[rd] (NaN) # NaN handling ieemap[rd] (mapin, mapout) ieestat[rd] (nin, nout) ieezstat[rd] () The first two routines handle scalar conversions, the second two routines vector conversions. The input and output vectors may be the same. Unfortunately, for portability reasons, functions cannot be used, so the scalar operators do an in-place conversion instead, and are a no-op on an unswapped IEEE system. The routines iee[sg]nan[rd] set/get the native floating value used to replace NaNs or overflows occuring when converting IEEE to the native floating format (any floating value will do, e.g., zero or INDEFD). If NaN mapping is enabled, the ieestat[rd] routines may be used to determine the number of input or output NaN conversions occuring since the last call to ieezstat[rd]. The NaN mapping enable switch and statistics counters are UNDEFINED at process startup; programs which use the IEEE conversion package should call ieemap[rd] to enable or disable NaN mapping, and ieezstat[rd] to initialize the statistics counters. The routines in this file are the "portable" versions. The "portable" solution it to merely copy the array, swapping the bytes if necessary - this works on any host that uses the IEEE floating format. NaN mapping is implemented in the portable code, but will work properly only for input conversions; for output, the IEEE NaN value is undefined in the portable version of the code (it is trivial to supply this value in an as$ieee.gx version of the code). If the local host does not use IEEE floating, or if a significant efficiency gain can be realized by programming in assembler or C, a host specific version of this file should be written, placed in AS, and referenced in the MKPKG special file list. .endhelp ------------------------------------------------------------------- # Give the generic preprocessor some help. define IEEE_SWAP IEEE_SWAP8 define BSWAP bswap8 define NSWAP 8 define IOFF 2 # S386=2, 1 on other Suns # IEEVPAK -- Convert an array in the native floating point format into an # array in IEEE floating format. The input and output arrays can be the same. procedure ieevpakd (native, ieee, nelem) double native[ARB] #I input native floating format array double ieee[ARB] #O output IEEE floating format array int nelem #I number of floating point numbers int i double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin if (mapout == NO) { if (IEEE_SWAP == YES) call BSWAP (native, 1, ieee, 1, nelem * NSWAP) else call amovd (native, ieee, nelem) } else { do i = 1, nelem if (native[i] == native_NaN) { ieee(i) = ieee_NaN nout = nout + 1 } else ieee[i] = native[i] # Byteswap if necessary. if (IEEE_SWAP == YES) call BSWAP (ieee, 1, ieee, 1, nelem * NSWAP) } end # IEEVUPK -- Convert an array in IEEE floating format into the native # floating point format. The input and output arrays can be the same. procedure ieevupkd (ieee, native, nelem) double ieee[ARB] #I input IEEE floating format array double native[ARB] #O output native floating format array int nelem #I number of floating point numbers int i double fval int ival[2] % equivalence (fval, ival) double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin if (IEEE_SWAP == YES) { call BSWAP (ieee, 1, native, 1, nelem * NSWAP) if (mapin != NO) do i = 1, nelem { fval = native[i] if (and (ival[IOFF], NaNmask) == NaNmask) { native[i] = native_NaN nin = nin + 1 } } } else { if (mapin == NO) call amovd (ieee, native, nelem) else { do i = 1, nelem { fval = ieee[i] if (and (ival[IOFF], NaNmask) == NaNmask) { native[i] = native_NaN nin = nin + 1 } else native[i] = ieee[i] } } } end # IEEPAK -- Convert a native floating point number into IEEE format. procedure ieepakd (x) double x #U datum to be converted double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin if (mapout != NO) if (x == native_NaN) { x = ieee_NaN nout = nout + 1 } if (IEEE_SWAP == YES) call BSWAP (x, 1, x, 1, NSWAP) end # IEEUPK -- Convert an IEEE format number into native floating point. procedure ieeupkd (x) double x #U datum to be converted double fval int ival[2] % equivalence (fval, ival) double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin if (IEEE_SWAP == YES) call BSWAP (x, 1, x, 1, NSWAP) if (mapin != NO) { fval = x if (and (ival[IOFF], NaNmask) == NaNmask) { x = native_NaN nin = nin + 1 } } end # IEESNAN -- Set the native floating point value used to replace NaNs and # overflows when converting IEEE to native. This must be a legal (finite) # native floating point value. Setting the reserved native pseudo-NaN value # has the side effect of enabling NaN mapping and zeroing the statistics # counters. procedure ieesnand (x) double x #I native value which will replace NaN double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin native_NaN = x call ieemapd (YES, YES) nin = 0 nout = 0 end # IEEGNAN -- Get the NaN value. procedure ieegnand (x) double x #O native value which will replace NaN double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin x = native_NaN end # IEESTAT -- Return statistics on the number of NaNs encountered in input # conversions (unpack) and output conversions (pack). procedure ieestatd (o_nin, o_nout) int o_nin #O number of NaN seen on input int o_nout #O number of NaN values output double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin o_nin = nin o_nout = nout end # IEEZSTAT -- Zero the statistics counters. procedure ieezstatd () double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin nin = 0 nout = 0 end # MACHINE DEPENDENT PART. # --------------------------- # IEEMAP -- Enable or disable NaN mapping. # # sEEE EEEE Emmm mmmm mmmm mmmm mmmm mmmm # 3 2 1 0 # 1098 7654 3210 9876 5432 1098 7654 3210 # 7 f 8 0 0 0 0 0 procedure ieemapd (inval, outval) int inval #I enable NaN mapping for input? int outval #I enable NaN mapping for output? # MACHDEP. % double precision d_quiet_nan double native_NaN, ieee_NaN int mapin, mapout, nin, nout, NaNmask common /ieenand/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout begin mapin = inval mapout = outval # MACHDEP. if (mapout == YES) % ieeenn = d_quiet_NaN() if (mapin == YES) NaNmask = 7FF00000X end