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const builtin = @import("builtin");
const math = std.math;
const std = @import("std");
pub const cast = math.cast;
pub const fmax = math.floatMax;
pub const fmin = math.floatMin;
pub const imax = math.maxInt;
pub const imin = math.minInt;
pub const inf = math.inf;
pub const nan = math.nan;
pub const next = math.nextAfter;
pub const tmin = math.floatTrueMin;
pub const Gpr = switch (builtin.cpu.arch) {
else => unreachable,
.x86 => u32,
.x86_64 => u64,
};
pub const Sse = if (builtin.cpu.has(.x86, .avx))
@Vector(32, u8)
else
@Vector(16, u8);
pub fn Scalar(comptime Type: type) type {
return switch (@typeInfo(Type)) {
else => Type,
.vector => |info| info.child,
};
}
pub fn ChangeScalar(comptime Type: type, comptime NewScalar: type) type {
return switch (@typeInfo(Type)) {
else => NewScalar,
.vector => |vector| @Vector(vector.len, NewScalar),
};
}
pub fn AsSignedness(comptime Type: type, comptime signedness: std.builtin.Signedness) type {
return switch (@typeInfo(Scalar(Type))) {
.int => |int| ChangeScalar(Type, @Type(.{ .int = .{
.signedness = signedness,
.bits = int.bits,
} })),
.float => Type,
else => @compileError(@typeName(Type)),
};
}
pub fn AddOneBit(comptime Type: type) type {
return ChangeScalar(Type, switch (@typeInfo(Scalar(Type))) {
.int => |int| @Type(.{ .int = .{ .signedness = int.signedness, .bits = 1 + int.bits } }),
.float => Scalar(Type),
else => @compileError(@typeName(Type)),
});
}
pub fn DoubleBits(comptime Type: type) type {
return ChangeScalar(Type, switch (@typeInfo(Scalar(Type))) {
.int => |int| @Type(.{ .int = .{ .signedness = int.signedness, .bits = int.bits * 2 } }),
.float => Scalar(Type),
else => @compileError(@typeName(Type)),
});
}
pub fn RoundBitsUp(comptime Type: type, comptime multiple: u16) type {
return ChangeScalar(Type, switch (@typeInfo(Scalar(Type))) {
.int => |int| @Type(.{ .int = .{
.signedness = int.signedness,
.bits = std.mem.alignForward(u16, int.bits, multiple),
} }),
.float => Scalar(Type),
else => @compileError(@typeName(Type)),
});
}
pub fn Log2Int(comptime Type: type) type {
return ChangeScalar(Type, math.Log2Int(Scalar(Type)));
}
pub fn Log2IntCeil(comptime Type: type) type {
return ChangeScalar(Type, math.Log2IntCeil(Scalar(Type)));
}
pub fn splat(comptime Type: type, scalar: Scalar(Type)) Type {
return switch (@typeInfo(Type)) {
else => scalar,
.vector => @splat(scalar),
};
}
pub fn sign(rhs: anytype) ChangeScalar(@TypeOf(rhs), bool) {
const Int = ChangeScalar(@TypeOf(rhs), switch (@typeInfo(Scalar(@TypeOf(rhs)))) {
.int, .comptime_int => Scalar(@TypeOf(rhs)),
.float => |float| @Type(.{ .int = .{
.signedness = .signed,
.bits = float.bits,
} }),
else => @compileError(@typeName(@TypeOf(rhs))),
});
return @as(Int, @bitCast(rhs)) < splat(Int, 0);
}
pub fn select(cond: anytype, lhs: anytype, rhs: @TypeOf(lhs)) @TypeOf(lhs) {
return switch (@typeInfo(@TypeOf(cond))) {
.bool => if (cond) lhs else rhs,
.vector => @select(Scalar(@TypeOf(lhs)), cond, lhs, rhs),
else => @compileError(@typeName(@TypeOf(cond))),
};
}
pub const Compare = enum { strict, relaxed, approx, approx_int, approx_or_overflow };
// noinline for a more helpful stack trace
pub noinline fn checkExpected(expected: anytype, actual: @TypeOf(expected), comptime compare: Compare) !void {
const Expected = @TypeOf(expected);
const unexpected = unexpected: switch (@typeInfo(Scalar(Expected))) {
else => expected != actual,
.float => switch (compare) {
.strict, .relaxed => {
const unequal = (expected != actual) & ((expected == expected) | (actual == actual));
break :unexpected switch (compare) {
.strict => unequal | (sign(expected) != sign(actual)),
.relaxed => unequal,
.approx, .approx_int, .approx_or_overflow => comptime unreachable,
};
},
.approx, .approx_int, .approx_or_overflow => {
const epsilon = math.floatEps(Scalar(Expected));
const tolerance = switch (compare) {
.strict, .relaxed => comptime unreachable,
.approx, .approx_int => @sqrt(epsilon),
.approx_or_overflow => @exp2(@log2(epsilon) * 0.4),
};
const approx_unequal = @abs(expected - actual) > @max(
@abs(expected) * splat(Expected, tolerance),
splat(Expected, switch (compare) {
.strict, .relaxed => comptime unreachable,
.approx, .approx_or_overflow => tolerance,
.approx_int => 1,
}),
);
break :unexpected switch (compare) {
.strict, .relaxed => comptime unreachable,
.approx, .approx_int => approx_unequal,
.approx_or_overflow => approx_unequal &
(((@abs(expected) != splat(Expected, inf(Expected))) &
(@abs(actual) != splat(Expected, inf(Expected)))) |
(sign(expected) != sign(actual))),
};
},
},
.@"struct" => |@"struct"| inline for (@"struct".fields) |field| {
try checkExpected(@field(expected, field.name), @field(actual, field.name), compare);
} else return,
};
if (switch (@typeInfo(Expected)) {
else => unexpected,
.vector => @reduce(.Or, unexpected),
}) return error.Unexpected;
}
test checkExpected {
if (checkExpected(nan(f16), nan(f16), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f16), -nan(f16), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f16, 0.0), @as(f16, 0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f16, -0.0), @as(f16, -0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f16, -0.0), @as(f16, 0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f16, 0.0), @as(f16, -0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f32), nan(f32), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f32), -nan(f32), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f32, 0.0), @as(f32, 0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f32, -0.0), @as(f32, -0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f32, -0.0), @as(f32, 0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f32, 0.0), @as(f32, -0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f64), nan(f64), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f64), -nan(f64), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f64, 0.0), @as(f64, 0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f64, -0.0), @as(f64, -0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f64, -0.0), @as(f64, 0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f64, 0.0), @as(f64, -0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f80), nan(f80), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f80), -nan(f80), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f80, 0.0), @as(f80, 0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f80, -0.0), @as(f80, -0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f80, -0.0), @as(f80, 0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f80, 0.0), @as(f80, -0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f128), nan(f128), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(nan(f128), -nan(f128), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f128, 0.0), @as(f128, 0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f128, -0.0), @as(f128, -0.0), .strict) == error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f128, -0.0), @as(f128, 0.0), .strict) != error.Unexpected) return error.Unexpected;
if (checkExpected(@as(f128, 0.0), @as(f128, -0.0), .strict) != error.Unexpected) return error.Unexpected;
}
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