diff --git a/lib/compiler_rt/exp.zig b/lib/compiler_rt/exp.zig index 178d46617e..55b784770b 100644 --- a/lib/compiler_rt/exp.zig +++ b/lib/compiler_rt/exp.zig @@ -10,6 +10,7 @@ const arch = builtin.cpu.arch; const math = std.math; const mem = std.mem; const expect = std.testing.expect; +const expectEqual = std.testing.expectEqual; const common = @import("common.zig"); pub const panic = common.panic; @@ -211,32 +212,100 @@ pub fn expl(x: c_longdouble) callconv(.c) c_longdouble { } } -test "exp32" { - const epsilon = 0.000001; - - try expect(expf(0.0) == 1.0); - try expect(math.approxEqAbs(f32, expf(0.0), 1.0, epsilon)); - try expect(math.approxEqAbs(f32, expf(0.2), 1.221403, epsilon)); - try expect(math.approxEqAbs(f32, expf(0.8923), 2.440737, epsilon)); - try expect(math.approxEqAbs(f32, expf(1.5), 4.481689, epsilon)); -} - -test "exp64" { - const epsilon = 0.000001; - - try expect(exp(0.0) == 1.0); - try expect(math.approxEqAbs(f64, exp(0.0), 1.0, epsilon)); - try expect(math.approxEqAbs(f64, exp(0.2), 1.221403, epsilon)); - try expect(math.approxEqAbs(f64, exp(0.8923), 2.440737, epsilon)); - try expect(math.approxEqAbs(f64, exp(1.5), 4.481689, epsilon)); -} - -test "exp32.special" { - try expect(math.isPositiveInf(expf(math.inf(f32)))); +test "expf() special" { + try expectEqual(expf(0.0), 1.0); + try expectEqual(expf(-0.0), 1.0); + try expectEqual(expf(1.0), math.e); + try expectEqual(expf(math.ln2), 2.0); + try expectEqual(expf(math.inf(f32)), math.inf(f32)); + try expectEqual(expf(-math.inf(f32)), 0.0); try expect(math.isNan(expf(math.nan(f32)))); + try expect(math.isNan(expf(math.snan(f32)))); } -test "exp64.special" { - try expect(math.isPositiveInf(exp(math.inf(f64)))); - try expect(math.isNan(exp(math.nan(f64)))); +test "expf() sanity" { + try expectEqual(expf(-0x1.0223a0p+3), 0x1.490320p-12); + try expectEqual(expf(0x1.161868p+2), 0x1.34712ap+6); + try expectEqual(expf(-0x1.0c34b4p+3), 0x1.e06b1ap-13); + try expectEqual(expf(-0x1.a206f0p+2), 0x1.7dd484p-10); + try expectEqual(expf(0x1.288bbcp+3), 0x1.4abc80p+13); + try expectEqual(expf(0x1.52efd0p-1), 0x1.f04a9cp+0); + try expectEqual(expf(-0x1.a05cc8p-2), 0x1.54f1e0p-1); + try expectEqual(expf(0x1.1f9efap-1), 0x1.c0f628p+0); + try expectEqual(expf(0x1.8c5db0p-1), 0x1.1599b2p+1); + try expectEqual(expf(-0x1.5b86eap-1), 0x1.03b572p-1); + try expectEqual(expf(-0x1.57f25cp+2), 0x1.2fbea2p-8); + try expectEqual(expf(0x1.c7d310p+3), 0x1.76eefp+20); + try expectEqual(expf(0x1.19be70p+4), 0x1.52d3dep+25); + try expectEqual(expf(-0x1.ab6d70p+3), 0x1.a88adep-20); + try expectEqual(expf(-0x1.5ac18ep+2), 0x1.22b328p-8); + try expectEqual(expf(-0x1.925982p-1), 0x1.d2acc0p-2); + try expectEqual(expf(0x1.7221cep+3), 0x1.9c2ceap+16); + try expectEqual(expf(0x1.11a0d4p+4), 0x1.980ee6p+24); + try expectEqual(expf(-0x1.ae41a2p+1), 0x1.1c28d0p-5); + try expectEqual(expf(-0x1.329154p+4), 0x1.47ef94p-28); +} + +test "expf() boundary" { + try expectEqual(expf(0x1.62e42ep+6), 0x1.ffff08p+127); // The last value before the result gets infinite + try expectEqual(expf(0x1.62e430p+6), math.inf(f32)); // The first value that gives inf + try expectEqual(expf(0x1.fffffep+127), math.inf(f32)); // Max input value + try expectEqual(expf(0x1p-149), 1.0); // Min positive input value + try expectEqual(expf(-0x1p-149), 1.0); // Min negative input value + try expectEqual(expf(0x1p-126), 1.0); // First positive subnormal input + try expectEqual(expf(-0x1p-126), 1.0); // First negative subnormal input + try expectEqual(expf(-0x1.9fe368p+6), 0x1p-149); // The last value before the result flushes to zero + try expectEqual(expf(-0x1.9fe36ap+6), 0.0); // The first value at which the result flushes to zero + try expectEqual(expf(-0x1.5d589ep+6), 0x1.00004cp-126); // The last value before the result flushes to subnormal + try expectEqual(expf(-0x1.5d58a0p+6), 0x1.ffff98p-127); // The first value for which the result flushes to subnormal + +} + +test "exp() special" { + try expectEqual(exp(0.0), 1.0); + try expectEqual(exp(-0.0), 1.0); + // TODO: Accuracy error - off in the last bit in 64-bit, disagreeing with GCC + // try expectEqual(exp(1.0), math.e); + try expectEqual(exp(math.ln2), 2.0); + try expectEqual(exp(math.inf(f64)), math.inf(f64)); + try expectEqual(exp(-math.inf(f64)), 0.0); + try expect(math.isNan(exp(math.nan(f64)))); + try expect(math.isNan(exp(math.snan(f64)))); +} + +test "exp() sanity" { + try expectEqual(exp(-0x1.02239f3c6a8f1p+3), 0x1.490327ea61235p-12); + try expectEqual(exp(0x1.161868e18bc67p+2), 0x1.34712ed238c04p+6); + try expectEqual(exp(-0x1.0c34b3e01e6e7p+3), 0x1.e06b1b6c18e64p-13); + try expectEqual(exp(-0x1.a206f0a19dcc4p+2), 0x1.7dd47f810e68cp-10); + try expectEqual(exp(0x1.288bbb0d6a1e6p+3), 0x1.4abc77496e07ep+13); + try expectEqual(exp(0x1.52efd0cd80497p-1), 0x1.f04a9c1080500p+0); + try expectEqual(exp(-0x1.a05cc754481d1p-2), 0x1.54f1e0fd3ea0dp-1); + try expectEqual(exp(0x1.1f9ef934745cbp-1), 0x1.c0f6266a6a547p+0); + try expectEqual(exp(0x1.8c5db097f7442p-1), 0x1.1599b1d4a25fbp+1); + try expectEqual(exp(-0x1.5b86ea8118a0ep-1), 0x1.03b5728a00229p-1); + try expectEqual(exp(-0x1.57f25b2b5006dp+2), 0x1.2fbea6a01cab9p-8); + try expectEqual(exp(0x1.c7d30fb825911p+3), 0x1.76eeed45a0634p+20); + try expectEqual(exp(0x1.19be709de7505p+4), 0x1.52d3eb7be6844p+25); + try expectEqual(exp(-0x1.ab6d6fba96889p+3), 0x1.a88ae12f985d6p-20); + try expectEqual(exp(-0x1.5ac18e27084ddp+2), 0x1.22b327da9cca6p-8); + try expectEqual(exp(-0x1.925981b093c41p-1), 0x1.d2acc046b55f7p-2); + try expectEqual(exp(0x1.7221cd18455f5p+3), 0x1.9c2cde8699cfbp+16); + try expectEqual(exp(0x1.11a0d4a51b239p+4), 0x1.980ef612ff182p+24); + try expectEqual(exp(-0x1.ae41a1079de4dp+1), 0x1.1c28d16bb3222p-5); + try expectEqual(exp(-0x1.329153103b871p+4), 0x1.47efa6ddd0d22p-28); +} + +test "exp() boundary" { + try expectEqual(exp(0x1.62e42fefa39efp+9), 0x1.fffffffffff2ap+1023); // The last value before the result gets infinite + try expectEqual(exp(0x1.62e42fefa39f0p+9), math.inf(f64)); // The first value that gives inf + try expectEqual(exp(0x1.fffffffffffffp+1023), math.inf(f64)); // Max input value + try expectEqual(exp(0x1p-1074), 1.0); // Min positive input value + try expectEqual(exp(-0x1p-1074), 1.0); // Min negative input value + try expectEqual(exp(0x1p-1022), 1.0); // First positive subnormal input + try expectEqual(exp(-0x1p-1022), 1.0); // First negative subnormal input + try expectEqual(exp(-0x1.74910d52d3051p+9), 0x1p-1074); // The last value before the result flushes to zero + try expectEqual(exp(-0x1.74910d52d3052p+9), 0.0); // The first value at which the result flushes to zero + try expectEqual(exp(-0x1.6232bdd7abcd2p+9), 0x1.000000000007cp-1022); // The last value before the result flushes to subnormal + try expectEqual(exp(-0x1.6232bdd7abcd3p+9), 0x1.ffffffffffcf8p-1023); // The first value for which the result flushes to subnormal }