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## Tests for various features of IEC60559 doubles.## Most of these are optional, so this is a sloppy test.# Goes to denormal (aka subnormal) numbers at -708.4exp(c(-745:-740, -730, -720, -710:-705))# goes to subnormal numbers at -308, to zero at ca 5e-324.10^-(324:307)2^-(1022:1075)# And because most libm pow() functions special-case integer powers.10^-(324:307-0.01)/10^0.01# IEC60559 mandates this, but C99/C11 do not.# Mingw-w64 did not do so in v 2.0.1(x <- 0*(-1)) # negative zero (prints as '0' in R on purpose!)rt_0 <- sqrt(x) # ditto -- but sprintf() shows "-0" :sprintf("%g, rt = %g, .^2 = %g", x, sqrt(x), x^2)stopifnot(exprs = {identical(1/ x, -Inf)identical(1/-x, +Inf)identical(x, -x,) # default num.eq=TRUE ==> -0 "identical" 0! identical(x, -x, num.eq=FALSE) # but not bitwise identicalidentical(x, sqrt(x), num.eq=FALSE) # sqrt(-0) == -0identical(-x, x^2, num.eq=FALSE) # (-0)^2 == +0 = --0})