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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <mach.h>
.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 <mach.h>.
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
iee[sg]map[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
INDEFR). 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
ieesmap[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_SWAP4
define BSWAP bswap4
define NSWAP 4
define IOFF 1
# 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 ieevpakr (native, ieee, nelem)
real native[ARB] #I input native floating format array
real ieee[ARB] #O output IEEE floating format array
int nelem #I number of floating point numbers
int i
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ 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 amovr (native, ieee, nelem)
} else {
call ieee_sigmask()
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)
call ieee_sigrestore()
}
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 ieevupkr (ieee, native, nelem)
real ieee[ARB] #I input IEEE floating format array
real native[ARB] #O output native floating format array
int nelem #I number of floating point numbers
int expon, i
real fval
int ival[1]
% equivalence (fval, ival)
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ 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) {
# Check for IEEE exceptional values and map NaN to the native
# NaN value, and denormalized numbers (zero exponent) to zero.
call ieee_sigmask()
do i = 1, nelem {
fval = native[i]
expon = and (ival[IOFF], NaNmask)
if (expon == 0) {
native[i] = 0
} else if (expon == NaNmask) {
native[i] = native_NaN
nin = nin + 1
}
}
call ieee_sigrestore()
}
} else {
if (mapin == NO)
call amovr (ieee, native, nelem)
else {
# Check for IEEE exceptional values and map NaN to the native
# NaN value, and denormalized numbers (zero exponent) to zero.
call ieee_sigmask()
do i = 1, nelem {
fval = ieee[i]
expon = and (ival[IOFF], NaNmask)
if (expon == 0) {
native[i] = 0
} else if (expon == NaNmask) {
native[i] = native_NaN
nin = nin + 1
} else
native[i] = ieee[i]
}
call ieee_sigrestore()
}
}
end
# IEEPAK -- Convert a native floating point number into IEEE format.
procedure ieepakr (x)
real x #U datum to be converted
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout
begin
if (mapout != NO) {
call ieee_sigmask()
if (x == native_NaN) {
x = ieee_NaN
nout = nout + 1
}
call ieee_sigrestore()
}
if (IEEE_SWAP == YES)
call BSWAP (x, 1, x, 1, NSWAP)
end
# IEEUPK -- Convert an IEEE format number into native floating point.
procedure ieeupkr (x)
real x #U datum to be converted
int expon
real fval
int ival[1]
% equivalence (fval, ival)
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout
begin
if (IEEE_SWAP == YES)
call BSWAP (x, 1, x, 1, NSWAP)
# Check for IEEE exceptional values and map NaN to the native NaN
# value, and denormalized numbers (zero exponent) to zero.
if (mapin != NO) {
call ieee_sigmask()
fval = x
expon = and (ival[IOFF], NaNmask)
if (expon == 0)
x = 0
else if (expon == NaNmask) {
x = native_NaN
nin = nin + 1
}
call ieee_sigrestore()
}
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.
procedure ieesnanr (x)
real x #I native value which will replace NaN
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout
begin
native_NaN = x
nin = 0
nout = 0
end
# IEEGNAN -- Get the NaN value.
procedure ieegnanr (x)
real x #O native value which will replace NaN
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ 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 ieestatr (o_nin, o_nout)
int o_nin #O number of NaN seen on input
int o_nout #O number of NaN values output
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout
begin
o_nin = nin
o_nout = nout
end
# IEEZSTAT -- Zero the statistics counters.
procedure ieezstatr ()
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout
begin
nin = 0
nout = 0
end
# IEEMAP -- Same as IEESMAP. Retained for backwards compatibility.
procedure ieemapr (inval, outval)
int inval #I enable mapping on input
int outval #I enable mapping on output
begin
call ieesmapr (inval, outval)
end
# IEEGMAP -- Query the current values of the input and output mapping
# enables.
procedure ieegmapr (inval, outval)
int inval #O get input mapping enable flag
int outval #O get output mapping enable flag
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout
begin
inval = mapin
outval = mapout
end
# MACHINE DEPENDENT PART.
# ---------------------------
# IEESMAP -- 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 ieesmapr (inval, outval)
int inval #I enable NaN mapping for input?
int outval #I enable NaN mapping for output?
# MACHDEP.
real fval
int ival[1]
real native_NaN, ieee_NaN
int mapin, mapout, nin, nout, NaNmask
common /ieenanr/ native_NaN, ieee_NaN, NaNmask, mapin, mapout, nin, nout
% equivalence (fval, ival)
% data ival(1) / '7ff7ffff'x /
begin
mapin = inval
mapout = outval
# MACHDEP.
if (mapout == YES)
ieee_NaN = fval
if (mapin == YES)
NaNmask = 7F800000X
end
# IEEE_SIGMASK, IEEE_SIGRESTORE -- Routines for masking IEEE exceptions.
#
# ieee_sigmask()
# ieee_sigrestore()
#
# These routines are meant to be used only internally by the routines in
# this file. iee_sigmask saves the current IEEE FPU exception mask, and
# sets a new mask which masks the invalid operand exception. This is
# necessary to permit the routines in this file to handle NaN values without
# raising the IEEE invalid operand exception. iee_sigrestore restores
# the original exception mask. These routines are meant to be called as
# pairs to temporarily block the invalid operand exception within an IEEE
# conversion routine.
procedure ieee_sigmask()
int fpucw
common /ieesig/ fpucw
begin
call gfpucw (fpucw)
call sfpucw (or (fpucw, 80X))
end
procedure ieee_sigrestore()
int fpucw
common /ieesig/ fpucw
begin
call sfpucw (fpucw)
end
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