def sinpi(c):
"sin(pi*x)."
d = fpu.up(lambda: c.sup - c.inf)
if d != d or d >= 2.0:
return (-1.0, +1.0),
inf = fpu.min(crlibm.sinpi_rd(x) for x in c)
sup = fpu.max(crlibm.sinpi_ru(x) for x in c)
# The derivative of sinpi is pi*cospi. As we are interested in the
# derivative sign but not its magnitude, we omit the pi factor.
if crlibm.cospi_rd(c.inf) <= 0 <= crlibm.cospi_ru(c.sup):
return (-1.0, sup),
if crlibm.cospi_ru(c.inf) >= 0 >= crlibm.cospi_rd(c.sup):
return (inf, +1.0),
if d >= 1.0:
return (-1.0, +1.0),
return (inf, sup),
def sinpi(c):
"sin(pi*x)."
d = fpu.up(lambda: c.sup - c.inf)
if d != d or d >= 2.0:
return (-1.0, +1.0),
inf = fpu.min(crlibm.sinpi_rd(x) for x in c)
sup = fpu.max(crlibm.sinpi_ru(x) for x in c)
# The derivative of sinpi is pi*cospi. As we are interested in the
# derivative sign but not its magnitude, we omit the pi factor.
if crlibm.cospi_rd(c.inf) <= 0 <= crlibm.cospi_ru(c.sup):
return (-1.0, sup),
if crlibm.cospi_ru(c.inf) >= 0 >= crlibm.cospi_rd(c.sup):
return (inf, +1.0),
if d >= 1.0:
return (-1.0, +1.0),
return (inf, sup),