// Special Cases: // // - round(+-0) = +-0 // - round(+-inf) = +-inf // - round(nan) = nan const builtin = @import("builtin"); const assert = @import("../debug.zig").assert; const math = @import("index.zig"); // TODO issue #393 pub const round = round_workaround; pub fn round_workaround(x: var) -> @typeOf(x) { const T = @typeOf(x); switch (T) { f32 => @inlineCall(round32, x), f64 => @inlineCall(round64, x), else => @compileError("round not implemented for " ++ @typeName(T)), } } fn round32(x_: f32) -> f32 { var x = x_; const u = @bitCast(u32, x); const e = (u >> 23) & 0xFF; var y: f32 = undefined; if (e >= 0x7F+23) { return x; } if (u >> 31 != 0) { x = -x; } if (e < 0x7F-1) { math.forceEval(x + math.f32_toint); return 0 * @bitCast(f32, u); } { @setFloatMode(this, builtin.FloatMode.Strict); y = x + math.f32_toint - math.f32_toint - x; } if (y > 0.5) { y = y + x - 1; } else if (y <= -0.5) { y = y + x + 1; } else { y = y + x; } if (u >> 31 != 0) { -y } else { y } } fn round64(x_: f64) -> f64 { var x = x_; const u = @bitCast(u64, x); const e = (u >> 52) & 0x7FF; var y: f64 = undefined; if (e >= 0x3FF+52) { return x; } if (u >> 63 != 0) { x = -x; } if (e < 0x3ff-1) { math.forceEval(x + math.f64_toint); return 0 * @bitCast(f64, u); } { @setFloatMode(this, builtin.FloatMode.Strict); y = x + math.f64_toint - math.f64_toint - x; } if (y > 0.5) { y = y + x - 1; } else if (y <= -0.5) { y = y + x + 1; } else { y = y + x; } if (u >> 63 != 0) { -y } else { y } } test "math.round" { assert(round(f32(1.3)) == round32(1.3)); assert(round(f64(1.3)) == round64(1.3)); } test "math.round32" { assert(round32(1.3) == 1.0); assert(round32(-1.3) == -1.0); assert(round32(0.2) == 0.0); assert(round32(1.8) == 2.0); } test "math.round64" { assert(round64(1.3) == 1.0); assert(round64(-1.3) == -1.0); assert(round64(0.2) == 0.0); assert(round64(1.8) == 2.0); } test "math.round32.special" { assert(round32(0.0) == 0.0); assert(round32(-0.0) == -0.0); assert(math.isPositiveInf(round32(math.inf(f32)))); assert(math.isNegativeInf(round32(-math.inf(f32)))); assert(math.isNan(round32(math.nan(f32)))); } test "math.round64.special" { assert(round64(0.0) == 0.0); assert(round64(-0.0) == -0.0); assert(math.isPositiveInf(round64(math.inf(f64)))); assert(math.isNegativeInf(round64(-math.inf(f64)))); assert(math.isNan(round64(math.nan(f64)))); }