1#!perl -w 2 3use strict; 4 5use POSIX ':math_h_c99'; 6use POSIX ':nan_payload'; 7use POSIX 'lround'; 8use Test::More; 9 10use Config; 11 12# These tests are mainly to make sure that these arithmetic functions 13# exist and are accessible. They are not meant to be an exhaustive 14# test for the interface. 15 16sub between { 17 my ($low, $have, $high, $desc) = @_; 18 local $Test::Builder::Level = $Test::Builder::Level + 1; 19 20 cmp_ok($have, '>=', $low, $desc); 21 cmp_ok($have, '<=', $high, $desc); 22} 23 24is(acos(1), 0, "Basic acos(1) test"); 25between(3.14, acos(-1), 3.15, 'acos(-1)'); 26between(1.57, acos(0), 1.58, 'acos(0)'); 27is(asin(0), 0, "Basic asin(0) test"); 28cmp_ok(asin(1), '>', 1.57, "Basic asin(1) test"); 29cmp_ok(asin(-1), '<', -1.57, "Basic asin(-1) test"); 30cmp_ok(asin(1), '==', -asin(-1), 'asin(1) == -asin(-1)'); 31is(atan(0), 0, "Basic atan(0) test"); 32between(0.785, atan(1), 0.786, 'atan(1)'); 33between(-0.786, atan(-1), -0.785, 'atan(-1)'); 34cmp_ok(atan(1), '==', -atan(-1), 'atan(1) == -atan(-1)'); 35is(cosh(0), 1, "Basic cosh(0) test"); 36between(1.54, cosh(1), 1.55, 'cosh(1)'); 37between(1.54, cosh(-1), 1.55, 'cosh(-1)'); 38is(cosh(1), cosh(-1), 'cosh(1) == cosh(-1)'); 39is(floor(1.23441242), 1, "Basic floor(1.23441242) test"); 40is(floor(-1.23441242), -2, "Basic floor(-1.23441242) test"); 41is(fmod(3.5, 2.0), 1.5, "Basic fmod(3.5, 2.0) test"); 42is(join(" ", frexp(1)), "0.5 1", "Basic frexp(1) test"); 43is(ldexp(0,1), 0, "Basic ldexp(0,1) test"); 44is(log10(1), 0, "Basic log10(1) test"); 45is(log10(10), 1, "Basic log10(10) test"); 46is(join(" ", modf(1.76)), "0.76 1", "Basic modf(1.76) test"); 47is(sinh(0), 0, "Basic sinh(0) test"); 48between(1.17, sinh(1), 1.18, 'sinh(1)'); 49between(-1.18, sinh(-1), -1.17, 'sinh(-1)'); 50is(tan(0), 0, "Basic tan(0) test"); 51between(1.55, tan(1), 1.56, 'tan(1)'); 52between(1.55, tan(1), 1.56, 'tan(-1)'); 53cmp_ok(tan(1), '==', -tan(-1), 'tan(1) == -tan(-1)'); 54is(tanh(0), 0, "Basic tanh(0) test"); 55between(0.76, tanh(1), 0.77, 'tanh(1)'); 56between(-0.77, tanh(-1), -0.76, 'tanh(-1)'); 57cmp_ok(tanh(1), '==', -tanh(-1), 'tanh(1) == -tanh(-1)'); 58 59SKIP: { 60 skip "no fpclassify", 4 unless $Config{d_fpclassify}; 61 is(fpclassify(1), FP_NORMAL, "fpclassify 1"); 62 is(fpclassify(0), FP_ZERO, "fpclassify 0"); 63 is(fpclassify(INFINITY), FP_INFINITE, "fpclassify INFINITY"); 64 is(fpclassify(NAN), FP_NAN, "fpclassify NAN"); 65} 66 67sub near { 68 my ($got, $want, $msg, $eps) = @_; 69 $eps ||= 1e-6; 70 cmp_ok(abs($got - $want), '<', $eps, $msg); 71} 72 73SKIP: { 74 unless ($Config{d_acosh}) { 75 skip "no acosh, suspecting no C99 math"; 76 } 77 if ($^O =~ /Win32|VMS/) { 78 skip "running in $^O, C99 math support uneven"; 79 } 80 near(M_SQRT2, 1.4142135623731, "M_SQRT2", 1e-9); 81 near(M_E, 2.71828182845905, "M_E", 1e-9); 82 near(M_PI, 3.14159265358979, "M_PI", 1e-9); 83 near(acosh(2), 1.31695789692482, "acosh", 1e-9); 84 near(asinh(1), 0.881373587019543, "asinh", 1e-9); 85 near(atanh(0.5), 0.549306144334055, "atanh", 1e-9); 86 near(cbrt(8), 2, "cbrt", 1e-9); 87 near(cbrt(-27), -3, "cbrt", 1e-9); 88 near(copysign(3.14, -2), -3.14, "copysign", 1e-9); 89 near(expm1(2), 6.38905609893065, "expm1", 1e-9); 90 near(expm1(1e-6), 1.00000050000017e-06, "expm1", 1e-9); 91 is(fdim(12, 34), 0, "fdim 12 34"); 92 is(fdim(34, 12), 22, "fdim 34 12"); 93 is(fmax(12, 34), 34, "fmax 12 34"); 94 is(fmin(12, 34), 12, "fmin 12 34"); 95 is(hypot(3, 4), 5, "hypot 3 4"); 96 near(hypot(-2, 1), sqrt(5), "hypot -1 2", 1e-9); 97 is(ilogb(255), 7, "ilogb 255"); 98 is(ilogb(256), 8, "ilogb 256"); 99 ok(isfinite(1), "isfinite 1"); 100 ok(!isfinite(Inf), "isfinite Inf"); 101 ok(!isfinite(NaN), "isfinite NaN"); 102 ok(isinf(INFINITY), "isinf INFINITY"); 103 ok(isinf(Inf), "isinf Inf"); 104 ok(!isinf(NaN), "isinf NaN"); 105 ok(!isinf(42), "isinf 42"); 106 ok(isnan(NAN), "isnan NAN"); 107 ok(isnan(NaN), "isnan NaN"); 108 ok(!isnan(Inf), "isnan Inf"); 109 ok(!isnan(42), "isnan Inf"); 110 cmp_ok(nan(), '!=', nan(), 'nan'); 111 near(log1p(2), 1.09861228866811, "log1p", 1e-9); 112 near(log1p(1e-6), 9.99999500000333e-07, "log1p", 1e-9); 113 near(log2(8), 3, "log2", 1e-9); 114 is(signbit(2), 0, "signbit 2"); # zero 115 ok(signbit(-2), "signbit -2"); # non-zero 116 is(round(2.25), 2, "round 2.25"); 117 is(round(-2.25), -2, "round -2.25"); 118 is(round(2.5), 3, "round 2.5"); 119 is(round(-2.5), -3, "round -2.5"); 120 is(round(2.75), 3, "round 2.75"); 121 is(round(-2.75), -3, "round 2.75"); 122 is(lround(-2.75), -3, "lround -0.25"); 123 is(signbit(lround(-0.25)), 0, "lround -0.25 -> +0"); # unlike round() 124 is(trunc(2.25), 2, "trunc 2.25"); 125 is(trunc(-2.25), -2, "trunc -2.25"); 126 is(trunc(2.5), 2, "trunc 2.5"); 127 is(trunc(-2.5), -2, "trunc -2.5"); 128 is(trunc(2.75), 2, "trunc 2.75"); 129 is(trunc(-2.75), -2, "trunc -2.75"); 130 ok(isless(1, 2), "isless 1 2"); 131 ok(!isless(2, 1), "isless 2 1"); 132 ok(!isless(1, 1), "isless 1 1"); 133 ok(!isless(1, NaN), "isless 1 NaN"); 134 ok(isgreater(2, 1), "isgreater 2 1"); 135 ok(islessequal(1, 1), "islessequal 1 1"); 136 ok(isunordered(1, NaN), "isunordered 1 NaN"); 137 138 near(erf(0.5), 0.520499877813047, "erf 0.5", 1.5e-7); 139 near(erf(1), 0.842700792949715, "erf 1", 1.5e-7); 140 near(erf(9), 1, "erf 9", 1.5e-7); 141 near(erfc(0.5), 0.479500122186953, "erfc 0.5", 1.5e-7); 142 near(erfc(1), 0.157299207050285, "erfc 1", 1.5e-7); 143 near(erfc(9), 0, "erfc 9", 1.5e-7); 144 145 # tgamma(n) = (n - 1)! 146 # lgamma(n) = log(tgamma(n)) 147 near(tgamma(5), 24, "tgamma 5", 1.5e-7); 148 near(tgamma(5.5), 52.3427777845535, "tgamma 5.5", 1.5e-7); 149 near(tgamma(9), 40320, "tgamma 9", 1.5e-7); 150 near(lgamma(5), 3.17805383034795, "lgamma 4", 1.5e-7); 151 near(lgamma(5.5), 3.95781396761872, "lgamma 5.5", 1.5e-7); 152 near(lgamma(9), 10.6046029027452, "lgamma 9", 1.5e-7); 153 154 # These don't work on old mips/hppa platforms because == Inf (or == -Inf). 155 # ok(isnan(setpayload(0)), "setpayload zero"); 156 # is(getpayload(setpayload(0)), 0, "setpayload + getpayload (zero)"); 157 # 158 # These don't work on most platforms because == Inf (or == -Inf). 159 # ok(isnan(setpayloadsig(0)), "setpayload zero"); 160 # is(getpayload(setpayloadsig(0)), 0, "setpayload + getpayload (zero)"); 161 162 # Verify that the payload set be setpayload() 163 # (1) still is a nan 164 # (2) but the payload can be retrieved 165 # (3) but is not signaling 166 my $x = 0; 167 setpayload($x, 0x12345); 168 ok(isnan($x), "setpayload + isnan"); 169 is(getpayload($x), 0x12345, "setpayload + getpayload"); 170 ok(!issignaling($x), "setpayload + issignaling"); 171 172 # Verify that the signaling payload set be setpayloadsig() 173 # (1) still is a nan 174 # (2) but the payload can be retrieved 175 # (3) and is signaling 176 setpayloadsig($x, 0x12345); 177 ok(isnan($x), "setpayloadsig + isnan"); 178 is(getpayload($x), 0x12345, "setpayloadsig + getpayload"); 179 SKIP: { 180 # https://rt.perl.org/Ticket/Display.html?id=125710 181 # In the 32-bit x86 ABI cannot preserve the signaling bit 182 # (the x87 simply does not preserve that). But using the 183 # 80-bit extended format aka long double, the bit is preserved. 184 # https://gcc.gnu.org/bugzilla/show_bug.cgi?id=57484 185 my $could_be_x86_32 = 186 # This is a really weak test: there are other 32-bit 187 # little-endian platforms than just Intel (some embedded 188 # processors, for example), but we use this just for not 189 # bothering with the test if things look iffy. 190 # We could, say, $Config{ccsymbols} =~ /\b__[xi][3-7]86=1\b/, 191 # but that feels quite shaky. 192 $Config{byteorder} =~ /1234/ && 193 $Config{longdblkind} == 3 && 194 $Config{ptrsize} == 4; 195 skip($^O, 1) if $could_be_x86_32 && !$Config{uselongdouble}; 196 ok(issignaling($x), "setpayloadsig + issignaling"); 197 } 198 199 # Try a payload more than one byte. 200 is(getpayload(nan(0x12345)), 0x12345, "nan + getpayload"); 201 202 # Try payloads of 2^k, most importantly at and beyond 2^32. These 203 # tests will fail if NV is just 32-bit float, but that Should Not 204 # Happen (tm). 205 is(getpayload(nan(2**31)), 2**31, "nan + getpayload 2**31"); 206 is(getpayload(nan(2**32)), 2**32, "nan + getpayload 2**32"); 207 is(getpayload(nan(2**33)), 2**33, "nan + getpayload 2**33"); 208 209 # Payloads just lower than 2^k. 210 is(getpayload(nan(2**31-1)), 2**31-1, "nan + getpayload 2**31-1"); 211 is(getpayload(nan(2**32-1)), 2**32-1, "nan + getpayload 2**32-1"); 212 213 # Payloads not divisible by two (and larger than 2**32). 214 215 SKIP: { 216 # solaris gets 10460353202 from getpayload() when it should 217 # get 10460353203 (the 3**21). Things go wrong already in 218 # the nan() payload setting: [0x2, 0x6f7c52b4] (ivsize=4) 219 # instead [0x2, 0x6f7c52b3]. Then at getpayload() things 220 # go wrong again, now in other direction: with the (wrong) 221 # [0x2, 0x6f7c52b4] encoded in the nan we should decode into 222 # 10460353204, but we get 10460353202. It doesn't seem to 223 # help even if we use 'unsigned long long' instead of UV/U32 224 # in the POSIX.xs:S_setpayload/S_getpayload. 225 # 226 # casting bug? fmod() bug? Though also broken with 227 # -Duselongdouble + fmodl(), so maybe Solaris cc bug 228 # in general? 229 # 230 # Ironically, the large prime seems to work even in Solaris, 231 # probably just by blind luck. 232 skip($^O, 1) if $^O eq 'solaris'; 233 is(getpayload(nan(3**21)), 3**21, "nan + getpayload 3**21"); 234 } 235 is(getpayload(nan(4294967311)), 4294967311, "nan + getpayload prime"); 236 237 # Truncates towards zero. 238 is(getpayload(nan(1234.567)), 1234, "nan (trunc) + getpayload"); 239 240 # Not signaling. 241 ok(!issignaling(0), "issignaling zero"); 242 ok(!issignaling(+Inf), "issignaling +Inf"); 243 ok(!issignaling(-Inf), "issignaling -Inf"); 244 ok(!issignaling(NaN), "issignaling NaN"); 245} # SKIP 246 247done_testing(); 248