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Landon Curt Noll
2024-07-11 22:03:52 -07:00
parent fe9cefe6ef
commit db77e29a23
631 changed files with 90607 additions and 90600 deletions
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help/bround
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@@ -12,16 +12,16 @@ TYPES
Otherwise, if x is an object of type tt, or if x is not an object or
number but y is an object of type tt, and the function tt_bround has
to be defined; the types for x, plcs, rnd, and the returned value,
if any, are as required for specified in tt_bround. For the object
if any, are as required for specified in tt_bround. For the object
case, plcs and rnd default to the null value.
For other cases:
x number (real or complex)
plcs integer, defaults to zero
rnd integer, defaults to config("round")
x number (real or complex)
plcs integer, defaults to zero
rnd integer, defaults to config("round")
return number
return number
DESCRIPTION
For real x, bround(x, plcs, rnd) returns x rounded to either
@@ -31,39 +31,39 @@ DESCRIPTION
If the number of binary places is n and eps = 10^-n, the
result is the same as for appr(x, eps, rnd). This will be
exactly x if x is a multiple of eps; otherwise rounding occurs
to one of the nearest multiples of eps on either side of x. Which
to one of the nearest multiples of eps on either side of x. Which
of these multiples is returned is determined by z = rnd & 31, i.e.
the five low order bits of rnd, as follows:
z = 0 or 4: round down, i.e. towards minus infinity
z = 1 or 5: round up, i.e. towards plus infinity
z = 2 or 6: round towards zero
z = 3 or 7: round away from zero
z = 8 or 12: round to the nearest even multiple of eps
z = 9 or 13: round to the nearest odd multiple of eps
z = 10 or 14: round to nearest even or odd multiple of eps
according as x > or < 0
z = 11 or 15: round to nearest odd or even multiple of eps
according as x > or < 0
z = 16 to 31: round to the nearest multiple of eps when
this is uniquely determined. Otherwise
rounding is as if z is replaced by z - 16
z = 0 or 4: round down, i.e. towards minus infinity
z = 1 or 5: round up, i.e. towards plus infinity
z = 2 or 6: round towards zero
z = 3 or 7: round away from zero
z = 8 or 12: round to the nearest even multiple of eps
z = 9 or 13: round to the nearest odd multiple of eps
z = 10 or 14: round to nearest even or odd multiple of eps
according as x > or < 0
z = 11 or 15: round to nearest odd or even multiple of eps
according as x > or < 0
z = 16 to 31: round to the nearest multiple of eps when
this is uniquely determined. Otherwise
rounding is as if z is replaced by z - 16
For complex x:
The real and imaginary parts are rounded as for real x; if the
imaginary part rounds to zero, the result is real.
The real and imaginary parts are rounded as for real x; if the
imaginary part rounds to zero, the result is real.
For matrix or list x:
The returned values has element bround(x[[i]], plcs, rnd) in
the same position as x[[i]] in x.
The returned values has element bround(x[[i]], plcs, rnd) in
the same position as x[[i]] in x.
For object x or plcs:
When bround(x, plcs, rnd) is called, x is passed by address so may be
changed by assignments; plcs and rnd are copied to temporary
variables, so their values are not changed by the call.
When bround(x, plcs, rnd) is called, x is passed by address so may be
changed by assignments; plcs and rnd are copied to temporary
variables, so their values are not changed by the call.
EXAMPLE
; a = 7/32, b = -7/32
@@ -100,18 +100,18 @@ EXAMPLE
; print round(A,2,24)
list(7 elements, 7 nonzero):
[[0]] = 0.12
[[1]] = 0.25
[[3]] = 0.38
[[4]] = 0.5
[[5]] = 0.62
[[6]] = 0.75
[[7]] = 0.88
[[0]] = 0.12
[[1]] = 0.25
[[3]] = 0.38
[[4]] = 0.5
[[5]] = 0.62
[[6]] = 0.75
[[7]] = 0.88
LIMITS
For non-object case:
0 <= abs(plcs) < 2^31
0 <= abs(rnd) < 2^31
0 <= abs(plcs) < 2^31
0 <= abs(rnd) < 2^31
LINK LIBRARY
void broundvalue(VALUE *x, VALUE *plcs, VALUE *rnd, VALUE *result)
@@ -130,7 +130,7 @@ SEE ALSO
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
@@ -138,8 +138,8 @@ SEE ALSO
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## Under source code control: 1994/09/30 00:22:35
## File existed as early as: 1994
## Under source code control: 1994/09/30 00:22:35
## File existed as early as: 1994
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/