Packages

Print-quality PDF from Markdown + Elixir, powered by Typst

Current section

Files

Jump to
folio vendor typst crates typst-library src foundations int.rs
Raw

vendor/typst/crates/typst-library/src/foundations/int.rs

use std::num::{
IntErrorKind, NonZeroI64, NonZeroIsize, NonZeroU32, NonZeroU64, NonZeroUsize,
};
use ecow::{EcoString, eco_format};
use smallvec::SmallVec;
use typst_syntax::{Span, Spanned};
use crate::diag::{At, HintedString, SourceResult, StrResult, bail, error};
use crate::foundations::{
Base, Bytes, Cast, Decimal, Repr, Str, Value, cast, func, repr, scope, ty,
};
/// A whole number.
///
/// The number can be negative, zero, or positive. As Typst uses 64 bits to
/// store integers, integers cannot be smaller than `{-9223372036854775808}` or
/// larger than `{9223372036854775807}`. Integer literals are always positive,
/// so a negative integer such as `{-1}` is semantically the negation `-` of the
/// positive literal `1`. A positive integer greater than the maximum value and
/// a negative integer less than or equal to the minimum value cannot be
/// represented as an integer literal, and are instead parsed as a `{float}`.
/// The minimum integer value can still be obtained through integer arithmetic.
///
/// The number can also be specified as hexadecimal, octal, or binary by
/// starting it with a zero followed by either `x`, `o`, or `b`.
///
/// You can convert a value to an integer with this type's constructor.
///
/// # Example
/// ```example
/// #(1 + 2) \
/// #(2 - 5) \
/// #(3 + 4 < 8)
///
/// #0xff \
/// #0o10 \
/// #0b1001
/// ```
#[ty(scope, cast, name = "int", title = "Integer")]
type i64;
#[scope(ext)]
impl i64 {
/// Converts a value to an integer. Raises an error if there is an attempt
/// to parse an invalid string or produce an integer that doesn't fit
/// into a 64-bit signed integer.
///
/// - Booleans are converted to `0` or `1`.
/// - Floats and decimals are rounded to the next 64-bit integer towards zero.
/// - Strings are parsed in base 10 by default.
///
/// ```example
/// #int(false) \
/// #int(true) \
/// #int(2.7) \
/// #int(decimal("3.8")) \
/// #(int("27") + int("4")) \
/// #int("beef", base: 16)
/// ```
#[func(constructor)]
pub fn construct(
/// The value that should be converted to an integer.
value: Spanned<ToInt>,
/// The base (radix) for parsing strings, between 2 and 36.
#[named]
#[default(Spanned::new(Base::Default, Span::detached()))]
base: Spanned<Base>,
) -> SourceResult<i64> {
Ok(match value.v {
ToInt::Int(n) => match base.v {
Base::User(_) => bail!(base.span, "base is only supported for strings"),
_ => n,
},
ToInt::Str(s) => {
let base_value = base.v.value();
let radix: u32 = match base_value {
2..=36 => base_value as u32,
_ => bail!(base.span, "base must be between 2 and 36"),
};
match s.strip_prefix('-').or_else(|| s.strip_prefix(repr::MINUS_SIGN)) {
// Negative (without minus)
Some(s) => {
// Parse the digits part into u64
// => abs(i64::MIN) fits into u64
let bigger = u64::from_str_radix(s, radix)
.map_err(|e| parse_str_error(e.kind(), base))
.at(value.span)?;
// Number wouldn't fit into i64
if bigger > i64::MIN.unsigned_abs() {
return Err(parse_str_error(
&IntErrorKind::NegOverflow,
base,
))
.at(value.span);
}
bigger.wrapping_neg() as i64
}
// Positive
None => i64::from_str_radix(&s, radix)
.map_err(|e| parse_str_error(e.kind(), base))
.at(value.span)?,
}
}
})
}
/// Calculates the sign of an integer.
///
/// - If the number is positive, returns `{1}`.
/// - If the number is negative, returns `{-1}`.
/// - If the number is zero, returns `{0}`.
///
/// ```example
/// #(5).signum() \
/// #(-5).signum() \
/// #(0).signum()
/// ```
#[func]
pub fn signum(self) -> i64 {
i64::signum(self)
}
/// Calculates the bitwise NOT of an integer.
///
/// For the purposes of this function, the operand is treated as a signed
/// integer of 64 bits.
///
/// ```example
/// #4.bit-not() \
/// #(-1).bit-not()
/// ```
#[func(title = "Bitwise NOT")]
pub fn bit_not(self) -> i64 {
!self
}
/// Calculates the bitwise AND between two integers.
///
/// For the purposes of this function, the operands are treated as signed
/// integers of 64 bits.
///
/// ```example
/// #128.bit-and(192)
/// ```
#[func(title = "Bitwise AND")]
pub fn bit_and(
self,
/// The right-hand operand of the bitwise AND.
rhs: i64,
) -> i64 {
self & rhs
}
/// Calculates the bitwise OR between two integers.
///
/// For the purposes of this function, the operands are treated as signed
/// integers of 64 bits.
///
/// ```example
/// #64.bit-or(32)
/// ```
#[func(title = "Bitwise OR")]
pub fn bit_or(
self,
/// The right-hand operand of the bitwise OR.
rhs: i64,
) -> i64 {
self | rhs
}
/// Calculates the bitwise XOR between two integers.
///
/// For the purposes of this function, the operands are treated as signed
/// integers of 64 bits.
///
/// ```example
/// #64.bit-xor(96)
/// ```
#[func(title = "Bitwise XOR")]
pub fn bit_xor(
self,
/// The right-hand operand of the bitwise XOR.
rhs: i64,
) -> i64 {
self ^ rhs
}
/// Shifts the operand's bits to the left by the specified amount.
///
/// For the purposes of this function, the operand is treated as a signed
/// integer of 64 bits. An error will occur if the result is too large to
/// fit in a 64-bit integer.
///
/// ```example
/// #33.bit-lshift(2) \
/// #(-1).bit-lshift(3)
/// ```
#[func(title = "Bitwise Left Shift")]
pub fn bit_lshift(
self,
/// The amount of bits to shift. Must not be negative.
shift: u32,
) -> StrResult<i64> {
Ok(self.checked_shl(shift).ok_or("the result is too large")?)
}
/// Shifts the operand's bits to the right by the specified amount.
/// Performs an arithmetic shift by default (extends the sign bit to the left,
/// such that negative numbers stay negative), but that can be changed by the
/// `logical` parameter.
///
/// For the purposes of this function, the operand is treated as a signed
/// integer of 64 bits.
///
/// ```example
/// #64.bit-rshift(2) \
/// #(-8).bit-rshift(2) \
/// #(-8).bit-rshift(2, logical: true)
/// ```
#[func(title = "Bitwise Right Shift")]
pub fn bit_rshift(
self,
/// The amount of bits to shift. Must not be negative.
///
/// Shifts larger than 63 are allowed and will cause the return value to
/// saturate. For non-negative numbers, the return value saturates at
/// `{0}`, while, for negative numbers, it saturates at `{-1}` if
/// `logical` is set to `{false}`, or `{0}` if it is `{true}`. This
/// behavior is consistent with just applying this operation multiple
/// times. Therefore, the shift will always succeed.
shift: u32,
/// Toggles whether a logical (unsigned) right shift should be performed
/// instead of arithmetic right shift.
/// If this is `{true}`, negative operands will not preserve their sign
/// bit, and bits which appear to the left after the shift will be
/// `{0}`. This parameter has no effect on non-negative operands.
#[named]
#[default(false)]
logical: bool,
) -> i64 {
if logical {
if shift >= u64::BITS {
// Excessive logical right shift would be equivalent to setting
// all bits to zero. Using `.min(63)` is not enough for logical
// right shift, since `-1 >> 63` returns 1, whereas
// `calc.bit-rshift(-1, 64)` should return the same as
// `(-1 >> 63) >> 1`, which is zero.
0
} else {
// Here we reinterpret the signed integer's bits as unsigned to
// perform logical right shift, and then reinterpret back as signed.
// This is valid as, according to the Rust reference, casting between
// two integers of same size (i64 <-> u64) is a no-op (two's complement
// is used).
// Reference:
// https://doc.rust-lang.org/stable/reference/expressions/operator-expr.html#numeric-cast
((self as u64) >> shift) as i64
}
} else {
// Saturate at -1 (negative) or 0 (otherwise) on excessive arithmetic
// right shift. Shifting those numbers any further does not change
// them, so it is consistent.
let shift = shift.min(i64::BITS - 1);
self >> shift
}
}
/// Converts bytes to an integer.
///
/// ```example
/// #int.from-bytes(bytes((0, 0, 0, 0, 0, 0, 0, 1))) \
/// #int.from-bytes(bytes((1, 0, 0, 0, 0, 0, 0, 0)), endian: "big")
/// ```
#[func]
pub fn from_bytes(
/// The bytes that should be converted to an integer.
///
/// Must be of length at most 8 so that the result fits into a 64-bit
/// signed integer.
bytes: Bytes,
/// The endianness of the conversion.
#[named]
#[default(Endianness::Little)]
endian: Endianness,
/// Whether the bytes should be treated as a signed integer. If this is
/// `{true}` and the most significant bit is set, the resulting number
/// will negative.
#[named]
#[default(true)]
signed: bool,
) -> StrResult<i64> {
let len = bytes.len();
if len == 0 {
return Ok(0);
} else if len > 8 {
bail!("too many bytes to convert to a 64 bit number");
}
// `decimal` will hold the part of the buffer that should be filled with
// the input bytes, `rest` will remain as is or be filled with 0xFF for
// negative numbers if signed is true.
//
// – big-endian: `decimal` will be the rightmost bytes of the buffer.
// - little-endian: `decimal` will be the leftmost bytes of the buffer.
let mut buf = [0u8; 8];
let (rest, decimal) = match endian {
Endianness::Big => buf.split_at_mut(8 - len),
Endianness::Little => {
let (first, second) = buf.split_at_mut(len);
(second, first)
}
};
decimal.copy_from_slice(bytes.as_ref());
// Perform sign-extension if necessary.
if signed {
let most_significant_byte = match endian {
Endianness::Big => decimal[0],
Endianness::Little => decimal[len - 1],
};
if most_significant_byte & 0b1000_0000 != 0 {
rest.fill(0xFF);
}
}
Ok(match endian {
Endianness::Big => i64::from_be_bytes(buf),
Endianness::Little => i64::from_le_bytes(buf),
})
}
/// Converts an integer to bytes.
///
/// ```example
/// #array(10000.to-bytes(endian: "big")) \
/// #array(10000.to-bytes(size: 4))
/// ```
#[func]
pub fn to_bytes(
self,
/// The endianness of the conversion.
#[named]
#[default(Endianness::Little)]
endian: Endianness,
/// The size in bytes of the resulting bytes (must be at least zero). If
/// the integer is too large to fit in the specified size, the
/// conversion will truncate the remaining bytes based on the
/// endianness. To keep the same resulting value, if the endianness is
/// big-endian, the truncation will happen at the rightmost bytes.
/// Otherwise, if the endianness is little-endian, the truncation will
/// happen at the leftmost bytes.
///
/// Be aware that if the integer is negative and the size is not enough
/// to make the number fit, when passing the resulting bytes to
/// `int.from-bytes`, the resulting number might be positive, as the
/// most significant bit might not be set to 1.
#[named]
#[default(8)]
size: usize,
) -> Bytes {
let array = match endian {
Endianness::Big => self.to_be_bytes(),
Endianness::Little => self.to_le_bytes(),
};
let mut buf = SmallVec::<[u8; 8]>::from_elem(0, size);
match endian {
Endianness::Big => {
// Copy the bytes from the array to the buffer, starting from
// the end of the buffer.
let buf_start = size.saturating_sub(8);
let array_start = 8usize.saturating_sub(size);
buf[buf_start..].copy_from_slice(&array[array_start..])
}
Endianness::Little => {
// Copy the bytes from the array to the buffer, starting from
// the beginning of the buffer.
let end = size.min(8);
buf[..end].copy_from_slice(&array[..end])
}
}
Bytes::new(buf)
}
}
impl Repr for i64 {
fn repr(&self) -> EcoString {
eco_format!("{:?}", self)
}
}
/// Represents the byte order used for converting integers and floats to bytes
/// and vice versa.
#[derive(Debug, Copy, Clone, Eq, PartialEq, Hash, Cast)]
pub enum Endianness {
/// Big-endian byte order: The highest-value byte is at the beginning of the
/// bytes.
Big,
/// Little-endian byte order: The lowest-value byte is at the beginning of
/// the bytes.
Little,
}
/// A value that can be cast to an integer.
pub enum ToInt {
Int(i64),
Str(Str),
}
cast! {
ToInt,
v: i64 => Self::Int(v),
v: bool => Self::Int(v as i64),
v: f64 => Self::Int(convert_float_to_int(v)?),
v: Decimal => Self::Int(i64::try_from(v).map_err(|_| eco_format!("number too large"))?),
v: Str => Self::Str(v),
}
pub fn convert_float_to_int(f: f64) -> StrResult<i64> {
if f <= i64::MIN as f64 - 1.0 || f >= i64::MAX as f64 + 1.0 {
Err(eco_format!("number too large"))
} else {
Ok(f as i64)
}
}
#[cold]
fn parse_str_error(kind: &IntErrorKind, base: Spanned<Base>) -> HintedString {
let base = base.v.value();
match kind {
IntErrorKind::Empty => error!("string must not be empty"),
IntErrorKind::InvalidDigit => match base {
10 => error!("string contains invalid digits"),
_ => error!("string contains invalid digits for a base {base} integer"),
},
IntErrorKind::PosOverflow => error!(
"integer value is too large";
hint: "value does not fit into a signed 64-bit integer";
hint: "try using a floating point number";
),
IntErrorKind::NegOverflow => error!(
"integer value is too small";
hint: "value does not fit into a signed 64-bit integer";
hint: "try using a floating point number";
),
IntErrorKind::Zero => unreachable!(),
_ => error!("invalid integer"),
}
}
macro_rules! signed_int {
($($ty:ty)*) => {
$(cast! {
$ty,
self => {
#[allow(irrefutable_let_patterns)]
if let Ok(int) = i64::try_from(self) {
Value::Int(int)
} else {
// Some numbers (i128) are too large to be cast as i64
// In that case, we accept that there may be a
// precision loss, and use a floating point number
Value::Float(self as _)
}
},
v: i64 => v.try_into().map_err(|_| "number too large")?,
})*
}
}
macro_rules! unsigned_int {
($($ty:ty)*) => {
$(cast! {
$ty,
self => {
#[allow(irrefutable_let_patterns)]
if let Ok(int) = i64::try_from(self) {
Value::Int(int)
} else {
// Some numbers (u64, u128) are too large to be cast as i64
// In that case, we accept that there may be a
// precision loss, and use a floating point number
Value::Float(self as _)
}
},
v: i64 => v.try_into().map_err(|_| {
if v < 0 {
"number must be at least zero"
} else {
"number too large"
}
})?,
})*
}
}
signed_int! { i8 i16 i32 i128 isize }
unsigned_int! { u8 u16 u32 u64 u128 usize }
cast! {
NonZeroI64,
self => Value::Int(self.get() as _),
v: i64 => v.try_into()
.map_err(|_| if v == 0 {
"number must not be zero"
} else {
"number too large"
})?,
}
cast! {
NonZeroIsize,
self => Value::Int(self.get() as _),
v: i64 => v
.try_into()
.and_then(|v: isize| v.try_into())
.map_err(|_| if v == 0 {
"number must not be zero"
} else {
"number too large"
})?,
}
cast! {
NonZeroU64,
self => Value::Int(self.get() as _),
v: i64 => v
.try_into()
.and_then(|v: u64| v.try_into())
.map_err(|_| if v <= 0 {
"number must be positive"
} else {
"number too large"
})?,
}
cast! {
NonZeroUsize,
self => Value::Int(self.get() as _),
v: i64 => v
.try_into()
.and_then(|v: usize| v.try_into())
.map_err(|_| if v <= 0 {
"number must be positive"
} else {
"number too large"
})?,
}
cast! {
NonZeroU32,
self => Value::Int(self.get() as _),
v: i64 => v
.try_into()
.and_then(|v: u32| v.try_into())
.map_err(|_| if v <= 0 {
"number must be positive"
} else {
"number too large"
})?,
}