// Special Cases: // // - trunc(+-0) = +-0 // - trunc(+-inf) = +-inf // - trunc(nan) = nan const std = @import("../index.zig"); const math = std.math; const assert = std.debug.assert; const maxInt = std.math.maxInt; pub fn trunc(x: var) @typeOf(x) { const T = @typeOf(x); return switch (T) { f32 => trunc32(x), f64 => trunc64(x), else => @compileError("trunc not implemented for " ++ @typeName(T)), }; } fn trunc32(x: f32) f32 { const u = @bitCast(u32, x); var e = @intCast(i32, ((u >> 23) & 0xFF)) - 0x7F + 9; var m: u32 = undefined; if (e >= 23 + 9) { return x; } if (e < 9) { e = 1; } m = u32(maxInt(u32)) >> @intCast(u5, e); if (u & m == 0) { return x; } else { math.forceEval(x + 0x1p120); return @bitCast(f32, u & ~m); } } fn trunc64(x: f64) f64 { const u = @bitCast(u64, x); var e = @intCast(i32, ((u >> 52) & 0x7FF)) - 0x3FF + 12; var m: u64 = undefined; if (e >= 52 + 12) { return x; } if (e < 12) { e = 1; } m = u64(maxInt(u64)) >> @intCast(u6, e); if (u & m == 0) { return x; } else { math.forceEval(x + 0x1p120); return @bitCast(f64, u & ~m); } } test "math.trunc" { assert(trunc(f32(1.3)) == trunc32(1.3)); assert(trunc(f64(1.3)) == trunc64(1.3)); } test "math.trunc32" { assert(trunc32(1.3) == 1.0); assert(trunc32(-1.3) == -1.0); assert(trunc32(0.2) == 0.0); } test "math.trunc64" { assert(trunc64(1.3) == 1.0); assert(trunc64(-1.3) == -1.0); assert(trunc64(0.2) == 0.0); } test "math.trunc32.special" { assert(trunc32(0.0) == 0.0); // 0x3F800000 assert(trunc32(-0.0) == -0.0); assert(math.isPositiveInf(trunc32(math.inf(f32)))); assert(math.isNegativeInf(trunc32(-math.inf(f32)))); assert(math.isNan(trunc32(math.nan(f32)))); } test "math.trunc64.special" { assert(trunc64(0.0) == 0.0); assert(trunc64(-0.0) == -0.0); assert(math.isPositiveInf(trunc64(math.inf(f64)))); assert(math.isNegativeInf(trunc64(-math.inf(f64)))); assert(math.isNan(trunc64(math.nan(f64)))); }