//! Ported from musl, which is MIT licensed. //! https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT //! //! https://git.musl-libc.org/cgit/musl/tree/src/math/ceilf.c //! https://git.musl-libc.org/cgit/musl/tree/src/math/ceil.c //! https://git.musl-libc.org/cgit/musl/tree/src/math/ceill.c const std = @import("std"); const builtin = @import("builtin"); const arch = builtin.cpu.arch; const math = std.math; const mem = std.mem; const expect = std.testing.expect; const common = @import("common.zig"); pub const panic = common.panic; comptime { @export(&__ceilh, .{ .name = "__ceilh", .linkage = common.linkage, .visibility = common.visibility }); @export(&ceilf, .{ .name = "ceilf", .linkage = common.linkage, .visibility = common.visibility }); @export(&ceil, .{ .name = "ceil", .linkage = common.linkage, .visibility = common.visibility }); @export(&__ceilx, .{ .name = "__ceilx", .linkage = common.linkage, .visibility = common.visibility }); if (common.want_ppc_abi) { @export(&ceilq, .{ .name = "ceilf128", .linkage = common.linkage, .visibility = common.visibility }); } @export(&ceilq, .{ .name = "ceilq", .linkage = common.linkage, .visibility = common.visibility }); @export(&ceill, .{ .name = "ceill", .linkage = common.linkage, .visibility = common.visibility }); } pub fn __ceilh(x: f16) callconv(.c) f16 { var u: u16 = @bitCast(x); const e = @as(i16, @intCast((u >> 10) & 31)) - 15; var m: u16 = undefined; if (e >= 10) return x; if (e >= 0) { m = @as(u16, 0x03FF) >> @intCast(e); if (u & m == 0) return x; if (common.want_float_exceptions) mem.doNotOptimizeAway(x + 0x1.0p120); if (u >> 15 == 0) u += m; u &= ~m; return @bitCast(u); } else { if (common.want_float_exceptions) mem.doNotOptimizeAway(x + 0x1.0p120); return if (u >> 15 != 0) -0.0 else if (u << 1 != 0) 1.0 else x; } } pub fn ceilf(x: f32) callconv(.c) f32 { var u: u32 = @bitCast(x); const e = @as(i32, @intCast((u >> 23) & 0xFF)) - 0x7F; var m: u32 = undefined; if (e >= 23) return x; if (e >= 0) { m = @as(u32, 0x007FFFFF) >> @intCast(e); if (u & m == 0) return x; if (common.want_float_exceptions) mem.doNotOptimizeAway(x + 0x1.0p120); if (u >> 31 == 0) u += m; u &= ~m; return @bitCast(u); } else { if (common.want_float_exceptions) mem.doNotOptimizeAway(x + 0x1.0p120); return if (u >> 31 != 0) -0.0 else if (u << 1 != 0) 1.0 else x; } } pub fn ceil(x: f64) callconv(.c) f64 { const f64_toint = 1.0 / math.floatEps(f64); const u: u64 = @bitCast(x); const e = (u >> 52) & 0x7FF; var y: f64 = undefined; if (e >= 0x3FF + 52 or x == 0) { return x; } if (u >> 63 != 0) { y = x - f64_toint + f64_toint - x; } else { y = x + f64_toint - f64_toint - x; } if (e <= 0x3FF - 1) { if (common.want_float_exceptions) mem.doNotOptimizeAway(y); if (u >> 63 != 0) { return -0.0; } else { return 1.0; } } else if (y < 0) { return x + y + 1; } else { return x + y; } } pub fn __ceilx(x: f80) callconv(.c) f80 { const f80_toint = 1.0 / math.floatEps(f80); const u: u80 = @bitCast(x); const e = (u >> 64) & 0x7FFF; var y: f80 = undefined; if (e >= 0x3FFF + 64 or x == 0) return x; if (u >> 79 != 0) { y = x - f80_toint + f80_toint - x; } else { y = x + f80_toint - f80_toint - x; } if (e <= 0x3FFF - 1) { if (common.want_float_exceptions) mem.doNotOptimizeAway(y); if (u >> 79 != 0) { return -0.0; } else { return 1.0; } } else if (y < 0) { return x + y + 1; } else { return x + y; } } pub fn ceilq(x: f128) callconv(.c) f128 { const f128_toint = 1.0 / math.floatEps(f128); const u: u128 = @bitCast(x); const e = (u >> 112) & 0x7FFF; var y: f128 = undefined; if (e >= 0x3FFF + 112 or x == 0) return x; if (u >> 127 != 0) { y = x - f128_toint + f128_toint - x; } else { y = x + f128_toint - f128_toint - x; } if (e <= 0x3FFF - 1) { if (common.want_float_exceptions) mem.doNotOptimizeAway(y); if (u >> 127 != 0) { return -0.0; } else { return 1.0; } } else if (y < 0) { return x + y + 1; } else { return x + y; } } pub fn ceill(x: c_longdouble) callconv(.c) c_longdouble { switch (@typeInfo(c_longdouble).float.bits) { 16 => return __ceilh(x), 32 => return ceilf(x), 64 => return ceil(x), 80 => return __ceilx(x), 128 => return ceilq(x), else => @compileError("unreachable"), } } test "ceil16" { try expect(__ceilh(1.3) == 2.0); try expect(__ceilh(-1.3) == -1.0); try expect(__ceilh(0.2) == 1.0); } test "ceil32" { try expect(ceilf(1.3) == 2.0); try expect(ceilf(-1.3) == -1.0); try expect(ceilf(0.2) == 1.0); } test "ceil64" { try expect(ceil(1.3) == 2.0); try expect(ceil(-1.3) == -1.0); try expect(ceil(0.2) == 1.0); } test "ceil80" { try expect(__ceilx(1.3) == 2.0); try expect(__ceilx(-1.3) == -1.0); try expect(__ceilx(0.2) == 1.0); } test "ceil128" { try expect(ceilq(1.3) == 2.0); try expect(ceilq(-1.3) == -1.0); try expect(ceilq(0.2) == 1.0); } test "ceil16.special" { try expect(__ceilh(0.0) == 0.0); try expect(__ceilh(-0.0) == -0.0); try expect(math.isPositiveInf(__ceilh(math.inf(f16)))); try expect(math.isNegativeInf(__ceilh(-math.inf(f16)))); try expect(math.isNan(__ceilh(math.nan(f16)))); } test "ceil32.special" { try expect(ceilf(0.0) == 0.0); try expect(ceilf(-0.0) == -0.0); try expect(math.isPositiveInf(ceilf(math.inf(f32)))); try expect(math.isNegativeInf(ceilf(-math.inf(f32)))); try expect(math.isNan(ceilf(math.nan(f32)))); } test "ceil64.special" { try expect(ceil(0.0) == 0.0); try expect(ceil(-0.0) == -0.0); try expect(math.isPositiveInf(ceil(math.inf(f64)))); try expect(math.isNegativeInf(ceil(-math.inf(f64)))); try expect(math.isNan(ceil(math.nan(f64)))); } test "ceil80.special" { try expect(__ceilx(0.0) == 0.0); try expect(__ceilx(-0.0) == -0.0); try expect(math.isPositiveInf(__ceilx(math.inf(f80)))); try expect(math.isNegativeInf(__ceilx(-math.inf(f80)))); try expect(math.isNan(__ceilx(math.nan(f80)))); } test "ceil128.special" { try expect(ceilq(0.0) == 0.0); try expect(ceilq(-0.0) == -0.0); try expect(math.isPositiveInf(ceilq(math.inf(f128)))); try expect(math.isNegativeInf(ceilq(-math.inf(f128)))); try expect(math.isNan(ceilq(math.nan(f128)))); }