------------------------------------------------------------------------ -- nexttoward.decTest -- decimal next toward rhs [754r nextafter] -- -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, IBM Fellow -- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ version: 2.59 extended: 1 precision: 9 rounding: half_up maxExponent: 384 minexponent: -383 -- Sanity check with a scattering of numerics nextt001 nexttoward 10 10 -> 10 nextt002 nexttoward -10 -10 -> -10 nextt003 nexttoward 1 10 -> 1.00000001 nextt004 nexttoward 1 -10 -> 0.999999999 nextt005 nexttoward -1 10 -> -0.999999999 nextt006 nexttoward -1 -10 -> -1.00000001 nextt007 nexttoward 0 10 -> 1E-391 Underflow Subnormal Inexact Rounded nextt008 nexttoward 0 -10 -> -1E-391 Underflow Subnormal Inexact Rounded nextt009 nexttoward 9.99999999E+384 +Infinity -> Infinity Overflow Inexact Rounded nextt010 nexttoward -9.99999999E+384 -Infinity -> -Infinity Overflow Inexact Rounded ------- lhs=rhs -- finites nextt101 nexttoward 7 7 -> 7 nextt102 nexttoward -7 -7 -> -7 nextt103 nexttoward 75 75 -> 75 nextt104 nexttoward -75 -75 -> -75 nextt105 nexttoward 7.50 7.5 -> 7.50 nextt106 nexttoward -7.50 -7.50 -> -7.50 nextt107 nexttoward 7.500 7.5000 -> 7.500 nextt108 nexttoward -7.500 -7.5 -> -7.500 -- zeros nextt111 nexttoward 0 0 -> 0 nextt112 nexttoward -0 -0 -> -0 nextt113 nexttoward 0E+4 0 -> 0E+4 nextt114 nexttoward -0E+4 -0 -> -0E+4 nextt115 nexttoward 0.0000 0.00000 -> 0.0000 nextt116 nexttoward -0.0000 -0.00 -> -0.0000 nextt117 nexttoward 0E-141 0 -> 0E-141 nextt118 nexttoward -0E-141 -000 -> -0E-141 -- full coefficients, alternating bits nextt121 nexttoward 268268268 268268268 -> 268268268 nextt122 nexttoward -268268268 -268268268 -> -268268268 nextt123 nexttoward 134134134 134134134 -> 134134134 nextt124 nexttoward -134134134 -134134134 -> -134134134 -- Nmax, Nmin, Ntiny nextt131 nexttoward 9.99999999E+384 9.99999999E+384 -> 9.99999999E+384 nextt132 nexttoward 1E-383 1E-383 -> 1E-383 nextt133 nexttoward 1.00000000E-383 1.00000000E-383 -> 1.00000000E-383 nextt134 nexttoward 1E-391 1E-391 -> 1E-391 nextt135 nexttoward -1E-391 -1E-391 -> -1E-391 nextt136 nexttoward -1.00000000E-383 -1.00000000E-383 -> -1.00000000E-383 nextt137 nexttoward -1E-383 -1E-383 -> -1E-383 nextt138 nexttoward -9.99999999E+384 -9.99999999E+384 -> -9.99999999E+384 ------- lhs<rhs nextt201 nexttoward 0.999999995 Infinity -> 0.999999996 nextt202 nexttoward 0.999999996 Infinity -> 0.999999997 nextt203 nexttoward 0.999999997 Infinity -> 0.999999998 nextt204 nexttoward 0.999999998 Infinity -> 0.999999999 nextt205 nexttoward 0.999999999 Infinity -> 1.00000000 nextt206 nexttoward 1.00000000 Infinity -> 1.00000001 nextt207 nexttoward 1.0 Infinity -> 1.00000001 nextt208 nexttoward 1 Infinity -> 1.00000001 nextt209 nexttoward 1.00000001 Infinity -> 1.00000002 nextt210 nexttoward 1.00000002 Infinity -> 1.00000003 nextt211 nexttoward 1.00000003 Infinity -> 1.00000004 nextt212 nexttoward 1.00000004 Infinity -> 1.00000005 nextt213 nexttoward 1.00000005 Infinity -> 1.00000006 nextt214 nexttoward 1.00000006 Infinity -> 1.00000007 nextt215 nexttoward 1.00000007 Infinity -> 1.00000008 nextt216 nexttoward 1.00000008 Infinity -> 1.00000009 nextt217 nexttoward 1.00000009 Infinity -> 1.00000010 nextt218 nexttoward 1.00000010 Infinity -> 1.00000011 nextt219 nexttoward 1.00000011 Infinity -> 1.00000012 nextt221 nexttoward -0.999999995 Infinity -> -0.999999994 nextt222 nexttoward -0.999999996 Infinity -> -0.999999995 nextt223 nexttoward -0.999999997 Infinity -> -0.999999996 nextt224 nexttoward -0.999999998 Infinity -> -0.999999997 nextt225 nexttoward -0.999999999 Infinity -> -0.999999998 nextt226 nexttoward -1.00000000 Infinity -> -0.999999999 nextt227 nexttoward -1.0 Infinity -> -0.999999999 nextt228 nexttoward -1 Infinity -> -0.999999999 nextt229 nexttoward -1.00000001 Infinity -> -1.00000000 nextt230 nexttoward -1.00000002 Infinity -> -1.00000001 nextt231 nexttoward -1.00000003 Infinity -> -1.00000002 nextt232 nexttoward -1.00000004 Infinity -> -1.00000003 nextt233 nexttoward -1.00000005 Infinity -> -1.00000004 nextt234 nexttoward -1.00000006 Infinity -> -1.00000005 nextt235 nexttoward -1.00000007 Infinity -> -1.00000006 nextt236 nexttoward -1.00000008 Infinity -> -1.00000007 nextt237 nexttoward -1.00000009 Infinity -> -1.00000008 nextt238 nexttoward -1.00000010 Infinity -> -1.00000009 nextt239 nexttoward -1.00000011 Infinity -> -1.00000010 nextt240 nexttoward -1.00000012 Infinity -> -1.00000011 -- input operand is >precision nextt241 nexttoward 1.00000010998 Infinity -> 1.00000011 nextt242 nexttoward 1.00000010999 Infinity -> 1.00000011 nextt243 nexttoward 1.00000011000 Infinity -> 1.00000012 nextt244 nexttoward 1.00000011001 Infinity -> 1.00000012 nextt245 nexttoward 1.00000011002 Infinity -> 1.00000012 nextt246 nexttoward 1.00000011002 Infinity -> 1.00000012 nextt247 nexttoward 1.00000011052 Infinity -> 1.00000012 nextt248 nexttoward 1.00000011552 Infinity -> 1.00000012 nextt249 nexttoward -1.00000010998 Infinity -> -1.00000010 nextt250 nexttoward -1.00000010999 Infinity -> -1.00000010 nextt251 nexttoward -1.00000011000 Infinity -> -1.00000010 nextt252 nexttoward -1.00000011001 Infinity -> -1.00000011 nextt253 nexttoward -1.00000011002 Infinity -> -1.00000011 nextt254 nexttoward -1.00000011002 Infinity -> -1.00000011 nextt255 nexttoward -1.00000011052 Infinity -> -1.00000011 nextt256 nexttoward -1.00000011552 Infinity -> -1.00000011 -- ultra-tiny inputs nextt260 nexttoward 1E-99999 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt261 nexttoward 1E-999999999 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt262 nexttoward 1E-391 Infinity -> 2E-391 Underflow Subnormal Inexact Rounded nextt263 nexttoward -1E-99999 Infinity -> -0E-391 Underflow Subnormal Inexact Rounded Clamped nextt264 nexttoward -1E-999999999 Infinity -> -0E-391 Underflow Subnormal Inexact Rounded Clamped nextt265 nexttoward -1E-391 Infinity -> -0E-391 Underflow Subnormal Inexact Rounded Clamped -- Zeros nextt300 nexttoward 0 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt301 nexttoward 0.00 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt302 nexttoward 0E-300 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt303 nexttoward 0E+300 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt304 nexttoward 0E+30000 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt305 nexttoward -0 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt306 nexttoward -0.00 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt307 nexttoward -0E-300 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt308 nexttoward -0E+300 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded nextt309 nexttoward -0E+30000 Infinity -> 1E-391 Underflow Subnormal Inexact Rounded -- specials nextt350 nexttoward Inf Infinity -> Infinity nextt351 nexttoward -Inf Infinity -> -9.99999999E+384 nextt352 nexttoward NaN Infinity -> NaN nextt353 nexttoward sNaN Infinity -> NaN Invalid_operation nextt354 nexttoward NaN77 Infinity -> NaN77 nextt355 nexttoward sNaN88 Infinity -> NaN88 Invalid_operation nextt356 nexttoward -NaN Infinity -> -NaN nextt357 nexttoward -sNaN Infinity -> -NaN Invalid_operation nextt358 nexttoward -NaN77 Infinity -> -NaN77 nextt359 nexttoward -sNaN88 Infinity -> -NaN88 Invalid_operation -- Nmax, Nmin, Ntiny, subnormals maxExponent: 999 minexponent: -999 nextt370 nexttoward 9.99999999E+999 Infinity -> Infinity Overflow Inexact Rounded nextt371 nexttoward 9.99999998E+999 Infinity -> 9.99999999E+999 nextt372 nexttoward 1E-999 Infinity -> 1.00000001E-999 nextt373 nexttoward 1.00000000E-999 Infinity -> 1.00000001E-999 nextt374 nexttoward 0.999999999E-999 Infinity -> 1.00000000E-999 nextt375 nexttoward 0.99999999E-999 Infinity -> 1.00000000E-999 nextt376 nexttoward 9E-1007 Infinity -> 1.0E-1006 Underflow Subnormal Inexact Rounded nextt377 nexttoward 9.9E-1006 Infinity -> 1.00E-1005 Underflow Subnormal Inexact Rounded nextt378 nexttoward 9.9999E-1003 Infinity -> 1.00000E-1002 Underflow Subnormal Inexact Rounded nextt379 nexttoward 9.9999998E-1000 Infinity -> 9.9999999E-1000 Underflow Subnormal Inexact Rounded nextt380 nexttoward 9.9999997E-1000 Infinity -> 9.9999998E-1000 Underflow Subnormal Inexact Rounded nextt381 nexttoward 0E-1007 Infinity -> 1E-1007 Underflow Subnormal Inexact Rounded nextt382 nexttoward 1E-1007 Infinity -> 2E-1007 Underflow Subnormal Inexact Rounded nextt383 nexttoward 2E-1007 Infinity -> 3E-1007 Underflow Subnormal Inexact Rounded nextt385 nexttoward -0E-1007 Infinity -> 1E-1007 Underflow Subnormal Inexact Rounded nextt386 nexttoward -1E-1007 Infinity -> -0E-1007 Underflow Subnormal Inexact Rounded Clamped nextt387 nexttoward -2E-1007 Infinity -> -1E-1007 Underflow Subnormal Inexact Rounded nextt388 nexttoward -10E-1007 Infinity -> -9E-1007 Underflow Subnormal Inexact Rounded nextt389 nexttoward -100E-1007 Infinity -> -9.9E-1006 Underflow Subnormal Inexact Rounded nextt390 nexttoward -100000E-1007 Infinity -> -9.9999E-1003 Underflow Subnormal Inexact Rounded nextt391 nexttoward -1.0000E-999 Infinity -> -9.9999999E-1000 Underflow Subnormal Inexact Rounded nextt392 nexttoward -1.00000000E-999 Infinity -> -9.9999999E-1000 Underflow Subnormal Inexact Rounded nextt393 nexttoward -1E-999 Infinity -> -9.9999999E-1000 Underflow Subnormal Inexact Rounded nextt394 nexttoward -9.99999998E+999 Infinity -> -9.99999997E+999 nextt395 nexttoward -9.99999999E+999 Infinity -> -9.99999998E+999 ------- lhs>rhs maxExponent: 384 minexponent: -383 nextt401 nexttoward 0.999999995 -Infinity -> 0.999999994 nextt402 nexttoward 0.999999996 -Infinity -> 0.999999995 nextt403 nexttoward 0.999999997 -Infinity -> 0.999999996 nextt404 nexttoward 0.999999998 -Infinity -> 0.999999997 nextt405 nexttoward 0.999999999 -Infinity -> 0.999999998 nextt406 nexttoward 1.00000000 -Infinity -> 0.999999999 nextt407 nexttoward 1.0 -Infinity -> 0.999999999 nextt408 nexttoward 1 -Infinity -> 0.999999999 nextt409 nexttoward 1.00000001 -Infinity -> 1.00000000 nextt410 nexttoward 1.00000002 -Infinity -> 1.00000001 nextt411 nexttoward 1.00000003 -Infinity -> 1.00000002 nextt412 nexttoward 1.00000004 -Infinity -> 1.00000003 nextt413 nexttoward 1.00000005 -Infinity -> 1.00000004 nextt414 nexttoward 1.00000006 -Infinity -> 1.00000005 nextt415 nexttoward 1.00000007 -Infinity -> 1.00000006 nextt416 nexttoward 1.00000008 -Infinity -> 1.00000007 nextt417 nexttoward 1.00000009 -Infinity -> 1.00000008 nextt418 nexttoward 1.00000010 -Infinity -> 1.00000009 nextt419 nexttoward 1.00000011 -Infinity -> 1.00000010 nextt420 nexttoward 1.00000012 -Infinity -> 1.00000011 nextt421 nexttoward -0.999999995 -Infinity -> -0.999999996 nextt422 nexttoward -0.999999996 -Infinity -> -0.999999997 nextt423 nexttoward -0.999999997 -Infinity -> -0.999999998 nextt424 nexttoward -0.999999998 -Infinity -> -0.999999999 nextt425 nexttoward -0.999999999 -Infinity -> -1.00000000 nextt426 nexttoward -1.00000000 -Infinity -> -1.00000001 nextt427 nexttoward -1.0 -Infinity -> -1.00000001 nextt428 nexttoward -1 -Infinity -> -1.00000001 nextt429 nexttoward -1.00000001 -Infinity -> -1.00000002 nextt430 nexttoward -1.00000002 -Infinity -> -1.00000003 nextt431 nexttoward -1.00000003 -Infinity -> -1.00000004 nextt432 nexttoward -1.00000004 -Infinity -> -1.00000005 nextt433 nexttoward -1.00000005 -Infinity -> -1.00000006 nextt434 nexttoward -1.00000006 -Infinity -> -1.00000007 nextt435 nexttoward -1.00000007 -Infinity -> -1.00000008 nextt436 nexttoward -1.00000008 -Infinity -> -1.00000009 nextt437 nexttoward -1.00000009 -Infinity -> -1.00000010 nextt438 nexttoward -1.00000010 -Infinity -> -1.00000011 nextt439 nexttoward -1.00000011 -Infinity -> -1.00000012 -- input operand is >precision nextt441 nexttoward 1.00000010998 -Infinity -> 1.00000010 nextt442 nexttoward 1.00000010999 -Infinity -> 1.00000010 nextt443 nexttoward 1.00000011000 -Infinity -> 1.00000010 nextt444 nexttoward 1.00000011001 -Infinity -> 1.00000011 nextt445 nexttoward 1.00000011002 -Infinity -> 1.00000011 nextt446 nexttoward 1.00000011002 -Infinity -> 1.00000011 nextt447 nexttoward 1.00000011052 -Infinity -> 1.00000011 nextt448 nexttoward 1.00000011552 -Infinity -> 1.00000011 nextt449 nexttoward -1.00000010998 -Infinity -> -1.00000011 nextt450 nexttoward -1.00000010999 -Infinity -> -1.00000011 nextt451 nexttoward -1.00000011000 -Infinity -> -1.00000012 nextt452 nexttoward -1.00000011001 -Infinity -> -1.00000012 nextt453 nexttoward -1.00000011002 -Infinity -> -1.00000012 nextt454 nexttoward -1.00000011002 -Infinity -> -1.00000012 nextt455 nexttoward -1.00000011052 -Infinity -> -1.00000012 nextt456 nexttoward -1.00000011552 -Infinity -> -1.00000012 -- ultra-tiny inputs nextt460 nexttoward 1E-99999 -Infinity -> 0E-391 Underflow Subnormal Inexact Rounded Clamped nextt461 nexttoward 1E-999999999 -Infinity -> 0E-391 Underflow Subnormal Inexact Rounded Clamped nextt462 nexttoward 1E-391 -Infinity -> 0E-391 Underflow Subnormal Inexact Rounded Clamped nextt463 nexttoward -1E-99999 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt464 nexttoward -1E-999999999 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt465 nexttoward -1E-391 -Infinity -> -2E-391 Underflow Subnormal Inexact Rounded -- Zeros nextt500 nexttoward -0 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt501 nexttoward 0 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt502 nexttoward 0.00 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt503 nexttoward -0.00 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt504 nexttoward 0E-300 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt505 nexttoward 0E+300 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt506 nexttoward 0E+30000 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt507 nexttoward -0E+30000 -Infinity -> -1E-391 Underflow Subnormal Inexact Rounded nextt508 nexttoward 0.00 -0.0000 -> -0.00 -- specials nextt550 nexttoward Inf -Infinity -> 9.99999999E+384 nextt551 nexttoward -Inf -Infinity -> -Infinity nextt552 nexttoward NaN -Infinity -> NaN nextt553 nexttoward sNaN -Infinity -> NaN Invalid_operation nextt554 nexttoward NaN77 -Infinity -> NaN77 nextt555 nexttoward sNaN88 -Infinity -> NaN88 Invalid_operation nextt556 nexttoward -NaN -Infinity -> -NaN nextt557 nexttoward -sNaN -Infinity -> -NaN Invalid_operation nextt558 nexttoward -NaN77 -Infinity -> -NaN77 nextt559 nexttoward -sNaN88 -Infinity -> -NaN88 Invalid_operation -- Nmax, Nmin, Ntiny, subnormals maxExponent: 999 minexponent: -999 nextt570 nexttoward 9.99999999E+999 -Infinity -> 9.99999998E+999 nextt571 nexttoward 9.99999998E+999 -Infinity -> 9.99999997E+999 nextt572 nexttoward 1E-999 -Infinity -> 9.9999999E-1000 Underflow Subnormal Inexact Rounded nextt573 nexttoward 1.00000000E-999 -Infinity -> 9.9999999E-1000 Underflow Subnormal Inexact Rounded nextt574 nexttoward 9E-1007 -Infinity -> 8E-1007 Underflow Subnormal Inexact Rounded nextt575 nexttoward 9.9E-1006 -Infinity -> 9.8E-1006 Underflow Subnormal Inexact Rounded nextt576 nexttoward 9.9999E-1003 -Infinity -> 9.9998E-1003 Underflow Subnormal Inexact Rounded nextt577 nexttoward 9.9999999E-1000 -Infinity -> 9.9999998E-1000 Underflow Subnormal Inexact Rounded nextt578 nexttoward 9.9999998E-1000 -Infinity -> 9.9999997E-1000 Underflow Subnormal Inexact Rounded nextt579 nexttoward 9.9999997E-1000 -Infinity -> 9.9999996E-1000 Underflow Subnormal Inexact Rounded nextt580 nexttoward 0E-1007 -Infinity -> -1E-1007 Underflow Subnormal Inexact Rounded nextt581 nexttoward 1E-1007 -Infinity -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped nextt582 nexttoward 2E-1007 -Infinity -> 1E-1007 Underflow Subnormal Inexact Rounded nextt583 nexttoward -0E-1007 -Infinity -> -1E-1007 Underflow Subnormal Inexact Rounded nextt584 nexttoward -1E-1007 -Infinity -> -2E-1007 Underflow Subnormal Inexact Rounded nextt585 nexttoward -2E-1007 -Infinity -> -3E-1007 Underflow Subnormal Inexact Rounded nextt586 nexttoward -10E-1007 -Infinity -> -1.1E-1006 Underflow Subnormal Inexact Rounded nextt587 nexttoward -100E-1007 -Infinity -> -1.01E-1005 Underflow Subnormal Inexact Rounded nextt588 nexttoward -100000E-1007 -Infinity -> -1.00001E-1002 Underflow Subnormal Inexact Rounded nextt589 nexttoward -1.0000E-999 -Infinity -> -1.00000001E-999 nextt590 nexttoward -1.00000000E-999 -Infinity -> -1.00000001E-999 nextt591 nexttoward -1E-999 -Infinity -> -1.00000001E-999 nextt592 nexttoward -9.99999998E+999 -Infinity -> -9.99999999E+999 nextt593 nexttoward -9.99999999E+999 -Infinity -> -Infinity Overflow Inexact Rounded ------- Specials maxExponent: 384 minexponent: -383 nextt780 nexttoward -Inf -Inf -> -Infinity nextt781 nexttoward -Inf -1000 -> -9.99999999E+384 nextt782 nexttoward -Inf -1 -> -9.99999999E+384 nextt783 nexttoward -Inf -0 -> -9.99999999E+384 nextt784 nexttoward -Inf 0 -> -9.99999999E+384 nextt785 nexttoward -Inf 1 -> -9.99999999E+384 nextt786 nexttoward -Inf 1000 -> -9.99999999E+384 nextt787 nexttoward -1000 -Inf -> -1000.00001 nextt788 nexttoward -Inf -Inf -> -Infinity nextt789 nexttoward -1 -Inf -> -1.00000001 nextt790 nexttoward -0 -Inf -> -1E-391 Underflow Subnormal Inexact Rounded nextt791 nexttoward 0 -Inf -> -1E-391 Underflow Subnormal Inexact Rounded nextt792 nexttoward 1 -Inf -> 0.999999999 nextt793 nexttoward 1000 -Inf -> 999.999999 nextt794 nexttoward Inf -Inf -> 9.99999999E+384 nextt800 nexttoward Inf -Inf -> 9.99999999E+384 nextt801 nexttoward Inf -1000 -> 9.99999999E+384 nextt802 nexttoward Inf -1 -> 9.99999999E+384 nextt803 nexttoward Inf -0 -> 9.99999999E+384 nextt804 nexttoward Inf 0 -> 9.99999999E+384 nextt805 nexttoward Inf 1 -> 9.99999999E+384 nextt806 nexttoward Inf 1000 -> 9.99999999E+384 nextt807 nexttoward Inf Inf -> Infinity nextt808 nexttoward -1000 Inf -> -999.999999 nextt809 nexttoward -Inf Inf -> -9.99999999E+384 nextt810 nexttoward -1 Inf -> -0.999999999 nextt811 nexttoward -0 Inf -> 1E-391 Underflow Subnormal Inexact Rounded nextt812 nexttoward 0 Inf -> 1E-391 Underflow Subnormal Inexact Rounded nextt813 nexttoward 1 Inf -> 1.00000001 nextt814 nexttoward 1000 Inf -> 1000.00001 nextt815 nexttoward Inf Inf -> Infinity nextt821 nexttoward NaN -Inf -> NaN nextt822 nexttoward NaN -1000 -> NaN nextt823 nexttoward NaN -1 -> NaN nextt824 nexttoward NaN -0 -> NaN nextt825 nexttoward NaN 0 -> NaN nextt826 nexttoward NaN 1 -> NaN nextt827 nexttoward NaN 1000 -> NaN nextt828 nexttoward NaN Inf -> NaN nextt829 nexttoward NaN NaN -> NaN nextt830 nexttoward -Inf NaN -> NaN nextt831 nexttoward -1000 NaN -> NaN nextt832 nexttoward -1 NaN -> NaN nextt833 nexttoward -0 NaN -> NaN nextt834 nexttoward 0 NaN -> NaN nextt835 nexttoward 1 NaN -> NaN nextt836 nexttoward 1000 NaN -> NaN nextt837 nexttoward Inf NaN -> NaN nextt841 nexttoward sNaN -Inf -> NaN Invalid_operation nextt842 nexttoward sNaN -1000 -> NaN Invalid_operation nextt843 nexttoward sNaN -1 -> NaN Invalid_operation nextt844 nexttoward sNaN -0 -> NaN Invalid_operation nextt845 nexttoward sNaN 0 -> NaN Invalid_operation nextt846 nexttoward sNaN 1 -> NaN Invalid_operation nextt847 nexttoward sNaN 1000 -> NaN Invalid_operation nextt848 nexttoward sNaN NaN -> NaN Invalid_operation nextt849 nexttoward sNaN sNaN -> NaN Invalid_operation nextt850 nexttoward NaN sNaN -> NaN Invalid_operation nextt851 nexttoward -Inf sNaN -> NaN Invalid_operation nextt852 nexttoward -1000 sNaN -> NaN Invalid_operation nextt853 nexttoward -1 sNaN -> NaN Invalid_operation nextt854 nexttoward -0 sNaN -> NaN Invalid_operation nextt855 nexttoward 0 sNaN -> NaN Invalid_operation nextt856 nexttoward 1 sNaN -> NaN Invalid_operation nextt857 nexttoward 1000 sNaN -> NaN Invalid_operation nextt858 nexttoward Inf sNaN -> NaN Invalid_operation nextt859 nexttoward NaN sNaN -> NaN Invalid_operation -- propagating NaNs nextt861 nexttoward NaN1 -Inf -> NaN1 nextt862 nexttoward +NaN2 -1000 -> NaN2 nextt863 nexttoward NaN3 1000 -> NaN3 nextt864 nexttoward NaN4 Inf -> NaN4 nextt865 nexttoward NaN5 +NaN6 -> NaN5 nextt866 nexttoward -Inf NaN7 -> NaN7 nextt867 nexttoward -1000 NaN8 -> NaN8 nextt868 nexttoward 1000 NaN9 -> NaN9 nextt869 nexttoward Inf +NaN10 -> NaN10 nextt871 nexttoward sNaN11 -Inf -> NaN11 Invalid_operation nextt872 nexttoward sNaN12 -1000 -> NaN12 Invalid_operation nextt873 nexttoward sNaN13 1000 -> NaN13 Invalid_operation nextt874 nexttoward sNaN14 NaN17 -> NaN14 Invalid_operation nextt875 nexttoward sNaN15 sNaN18 -> NaN15 Invalid_operation nextt876 nexttoward NaN16 sNaN19 -> NaN19 Invalid_operation nextt877 nexttoward -Inf +sNaN20 -> NaN20 Invalid_operation nextt878 nexttoward -1000 sNaN21 -> NaN21 Invalid_operation nextt879 nexttoward 1000 sNaN22 -> NaN22 Invalid_operation nextt880 nexttoward Inf sNaN23 -> NaN23 Invalid_operation nextt881 nexttoward +NaN25 +sNaN24 -> NaN24 Invalid_operation nextt882 nexttoward -NaN26 NaN28 -> -NaN26 nextt883 nexttoward -sNaN27 sNaN29 -> -NaN27 Invalid_operation nextt884 nexttoward 1000 -NaN30 -> -NaN30 nextt885 nexttoward 1000 -sNaN31 -> -NaN31 Invalid_operation -- Null tests nextt900 nexttoward 1 # -> NaN Invalid_operation nextt901 nexttoward # 1 -> NaN Invalid_operation