2024-10-21 17:38:57 -05:00
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//! Interfaces needed to support testing with multi-precision floating point numbers.
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//!
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//! Within this module, the macros create a submodule for each `libm` function. These contain
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//! a struct named `Operation` that implements [`MpOp`].
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use std::cmp::Ordering;
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use az::Az;
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use rug::Assign;
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pub use rug::Float as MpFloat;
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use rug::float::Round::Nearest;
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use rug::ops::{PowAssignRound, RemAssignRound};
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use crate::Float;
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/// Create a multiple-precision float with the correct number of bits for a concrete float type.
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fn new_mpfloat<F: Float>() -> MpFloat {
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2024-10-31 22:47:11 -05:00
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MpFloat::new(F::SIG_BITS + 1)
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2024-10-21 17:38:57 -05:00
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}
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/// Set subnormal emulation and convert to a concrete float type.
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fn prep_retval<F: Float>(mp: &mut MpFloat, ord: Ordering) -> F
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where
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for<'a> &'a MpFloat: az::Cast<F>,
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{
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mp.subnormalize_ieee_round(ord, Nearest);
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(&*mp).az::<F>()
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}
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/// Structures that represent a float operation.
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///
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/// The struct itself should hold any context that can be reused among calls to `run` (allocated
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/// `MpFloat`s).
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pub trait MpOp {
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/// Inputs to the operation (concrete float types).
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type Input;
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/// Outputs from the operation (concrete float types).
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type Output;
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/// Create a new instance.
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fn new() -> Self;
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/// Perform the operation.
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///
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/// Usually this means assigning inputs to cached floats, performing the operation, applying
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/// subnormal approximation, and converting the result back to concrete values.
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fn run(&mut self, input: Self::Input) -> Self::Output;
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}
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/// Implement `MpOp` for functions with a single return value.
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macro_rules! impl_mp_op {
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// Matcher for unary functions
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(
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fn_name: $fn_name:ident,
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CFn: $CFn:ty,
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CArgs: $CArgs:ty,
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CRet: $CRet:ty,
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RustFn: fn($fty:ty,) -> $_ret:ty,
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RustArgs: $RustArgs:ty,
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RustRet: $RustRet:ty,
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fn_extra: $fn_name_normalized:expr,
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) => {
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paste::paste! {
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pub mod $fn_name {
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use super::*;
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pub struct Operation(MpFloat);
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impl MpOp for Operation {
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type Input = $RustArgs;
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type Output = $RustRet;
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fn new() -> Self {
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Self(new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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let ord = self.0.[< $fn_name_normalized _round >](Nearest);
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prep_retval::<Self::Output>(&mut self.0, ord)
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}
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}
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}
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}
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};
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// Matcher for binary functions
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(
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fn_name: $fn_name:ident,
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CFn: $CFn:ty,
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CArgs: $CArgs:ty,
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CRet: $CRet:ty,
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RustFn: fn($fty:ty, $_fty2:ty,) -> $_ret:ty,
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RustArgs: $RustArgs:ty,
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RustRet: $RustRet:ty,
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fn_extra: $fn_name_normalized:expr,
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) => {
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paste::paste! {
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pub mod $fn_name {
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use super::*;
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pub struct Operation(MpFloat, MpFloat);
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impl MpOp for Operation {
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type Input = $RustArgs;
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type Output = $RustRet;
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fn new() -> Self {
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Self(new_mpfloat::<$fty>(), new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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self.1.assign(input.1);
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let ord = self.0.[< $fn_name_normalized _round >](&self.1, Nearest);
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prep_retval::<Self::Output>(&mut self.0, ord)
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}
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}
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}
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}
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};
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// Matcher for ternary functions
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(
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fn_name: $fn_name:ident,
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CFn: $CFn:ty,
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CArgs: $CArgs:ty,
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CRet: $CRet:ty,
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RustFn: fn($fty:ty, $_fty2:ty, $_fty3:ty,) -> $_ret:ty,
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RustArgs: $RustArgs:ty,
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RustRet: $RustRet:ty,
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fn_extra: $fn_name_normalized:expr,
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) => {
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paste::paste! {
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pub mod $fn_name {
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use super::*;
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pub struct Operation(MpFloat, MpFloat, MpFloat);
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impl MpOp for Operation {
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type Input = $RustArgs;
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type Output = $RustRet;
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fn new() -> Self {
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Self(new_mpfloat::<$fty>(), new_mpfloat::<$fty>(), new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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self.1.assign(input.1);
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self.2.assign(input.2);
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let ord = self.0.[< $fn_name_normalized _round >](&self.1, &self.2, Nearest);
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prep_retval::<Self::Output>(&mut self.0, ord)
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}
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}
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}
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}
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};
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}
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libm_macros::for_each_function! {
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callback: impl_mp_op,
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skip: [
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// Most of these need a manual implementation
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fabs, ceil, copysign, floor, rint, round, trunc,
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fabsf, ceilf, copysignf, floorf, rintf, roundf, truncf,
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fmod, fmodf, frexp, frexpf, ilogb, ilogbf, jn, jnf, ldexp, ldexpf,
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lgamma_r, lgammaf_r, modf, modff, nextafter, nextafterf, pow,powf,
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remquo, remquof, scalbn, scalbnf, sincos, sincosf,
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],
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fn_extra: match MACRO_FN_NAME {
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// Remap function names that are different between mpfr and libm
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expm1 | expm1f => exp_m1,
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fabs | fabsf => abs,
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fdim | fdimf => positive_diff,
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fma | fmaf => mul_add,
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fmax | fmaxf => max,
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fmin | fminf => min,
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lgamma | lgammaf => ln_gamma,
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log | logf => ln,
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log1p | log1pf => ln_1p,
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tgamma | tgammaf => gamma,
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_ => MACRO_FN_NAME_NORMALIZED
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}
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}
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/// Implement unary functions that don't have a `_round` version
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macro_rules! impl_no_round {
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// Unary matcher
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($($fn_name:ident, $rug_name:ident;)*) => {
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paste::paste! {
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// Implement for both f32 and f64
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$( impl_no_round!{ @inner_unary [< $fn_name f >], (f32,), $rug_name } )*
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$( impl_no_round!{ @inner_unary $fn_name, (f64,), $rug_name } )*
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}
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};
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(@inner_unary $fn_name:ident, ($fty:ty,), $rug_name:ident) => {
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pub mod $fn_name {
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use super::*;
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pub struct Operation(MpFloat);
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impl MpOp for Operation {
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type Input = ($fty,);
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type Output = $fty;
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fn new() -> Self {
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Self(new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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self.0.$rug_name();
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prep_retval::<Self::Output>(&mut self.0, Ordering::Equal)
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}
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}
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}
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};
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}
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impl_no_round! {
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fabs, abs_mut;
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ceil, ceil_mut;
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floor, floor_mut;
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rint, round_even_mut; // FIXME: respect rounding mode
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round, round_mut;
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trunc, trunc_mut;
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}
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/// Some functions are difficult to do in a generic way. Implement them here.
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macro_rules! impl_op_for_ty {
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($fty:ty, $suffix:literal) => {
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paste::paste! {
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pub mod [<copysign $suffix>] {
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use super::*;
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pub struct Operation(MpFloat, MpFloat);
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impl MpOp for Operation {
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type Input = ($fty, $fty);
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type Output = $fty;
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fn new() -> Self {
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Self(new_mpfloat::<$fty>(), new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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self.1.assign(input.1);
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self.0.copysign_mut(&self.1);
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prep_retval::<Self::Output>(&mut self.0, Ordering::Equal)
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}
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}
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}
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pub mod [<pow $suffix>] {
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use super::*;
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pub struct Operation(MpFloat, MpFloat);
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impl MpOp for Operation {
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type Input = ($fty, $fty);
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type Output = $fty;
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fn new() -> Self {
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Self(new_mpfloat::<$fty>(), new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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self.1.assign(input.1);
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let ord = self.0.pow_assign_round(&self.1, Nearest);
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prep_retval::<Self::Output>(&mut self.0, ord)
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}
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}
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}
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pub mod [<fmod $suffix>] {
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use super::*;
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pub struct Operation(MpFloat, MpFloat);
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impl MpOp for Operation {
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type Input = ($fty, $fty);
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type Output = $fty;
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fn new() -> Self {
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Self(new_mpfloat::<$fty>(), new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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self.1.assign(input.1);
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let ord = self.0.rem_assign_round(&self.1, Nearest);
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prep_retval::<Self::Output>(&mut self.0, ord)
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}
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}
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}
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pub mod [<lgamma_r $suffix>] {
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use super::*;
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pub struct Operation(MpFloat);
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impl MpOp for Operation {
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type Input = ($fty,);
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type Output = ($fty, i32);
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fn new() -> Self {
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Self(new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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let (sign, ord) = self.0.ln_abs_gamma_round(Nearest);
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let ret = prep_retval::<$fty>(&mut self.0, ord);
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(ret, sign as i32)
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}
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}
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}
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pub mod [<jn $suffix>] {
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use super::*;
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pub struct Operation(i32, MpFloat);
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impl MpOp for Operation {
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type Input = (i32, $fty);
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type Output = $fty;
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fn new() -> Self {
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Self(0, new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0 = input.0;
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self.1.assign(input.1);
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let ord = self.1.jn_round(self.0, Nearest);
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prep_retval::<$fty>(&mut self.1, ord)
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}
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}
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}
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pub mod [<sincos $suffix>] {
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use super::*;
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pub struct Operation(MpFloat, MpFloat);
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impl MpOp for Operation {
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type Input = ($fty,);
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type Output = ($fty, $fty);
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fn new() -> Self {
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Self(new_mpfloat::<$fty>(), new_mpfloat::<$fty>())
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}
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fn run(&mut self, input: Self::Input) -> Self::Output {
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self.0.assign(input.0);
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self.1.assign(0.0);
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|
let (sord, cord) = self.0.sin_cos_round(&mut self.1, Nearest);
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|
(
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prep_retval::<$fty>(&mut self.0, sord),
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|
prep_retval::<$fty>(&mut self.1, cord)
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)
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}
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}
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}
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}
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};
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}
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impl_op_for_ty!(f32, "f");
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impl_op_for_ty!(f64, "");
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|
// Account for `lgamma_r` not having a simple `f` suffix
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|
|
pub mod lgammaf_r {
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|
pub use super::lgamma_rf::*;
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|
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|
}
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