fidget-jit 0.4.3

Native JIT compiler for Fidget
Documentation
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use crate::{
    Assembler, AssemblerData, CHOICE_BOTH, CHOICE_LEFT, CHOICE_RIGHT, IMM_REG,
    OFFSET, REGISTER_LIMIT, interval::IntervalAssembler, mmap::Mmap, reg,
};
use dynasmrt::{DynasmApi, DynasmError, DynasmLabelApi, dynasm};
use fidget_core::types::Interval;

/// Implementation of the interval assembler on `x86_64`
///
/// Registers are passed in as follows:
///
/// | Variable   | Register | Type                          |
/// |------------|----------|-------------------------------|
/// | `vars`     | `rdi`    | `*const [f32; 2]`             |
/// | `choices`  | `rsi`    | `*mut u8` (array)             |
/// | `simplify` | `rdx`    | `*mut u8` (single)            |
/// | `output`   | `rcx`    | `*mut [f32; 2]` (array)       |
///
/// The stack is configured as follows
///
/// ```text
/// | Position | Value        | Notes                                       |
/// |----------|--------------|---------------------------------------------|
/// | 0x00     | `rbp`        | Previous value for base pointer             |
/// |----------|--------------|---------------------------------------------|
/// | -0x08    | `r12`        | During functions calls, we use these        |
/// | -0x10    | `r13`        | as temporary storage so must preserve their |
/// | -0x18    | `r14`        | previous values on the stack                |
/// | -0x20    | `r15`        |                                             |
/// |----------|--------------|---------------------------------------------|
/// | ...      | ...          | Register spills live up here                |
/// |----------|--------------|---------------------------------------------|
/// | 0x58     | xmm15        | Caller-saved registers during functions     |
/// | 0x50     | xmm14        | calls are placed here, then restored        |
/// | 0x48     | xmm13        |                                             |
/// | 0x40     | xmm12        |                                             |
/// | 0x38     | xmm11        |                                             |
/// | 0x30     | xmm10        |                                             |
/// | 0x28     | xmm9         |                                             |
/// | 0x20     | xmm8         |                                             |
/// | 0x18     | xmm7         |                                             |
/// | 0x10     | xmm6         |                                             |
/// | 0x08     | xmm5         |                                             |
/// | 0x00     | xmm4         |                                             |
/// ```
const STACK_SIZE_UPPER: usize = 0x20; // Positions relative to `rbp`
const STACK_SIZE_LOWER: usize = 0x60; // Positions relative to `rsp`

#[expect(clippy::useless_conversion)]
impl Assembler for IntervalAssembler {
    type Data = Interval;

    fn init(mmap: Mmap, slot_count: usize) -> Self {
        let mut out = AssemblerData::new(mmap);
        dynasm!(out.ops
            ; push rbp
            ; mov rbp, rsp
        );
        out.prepare_stack(slot_count, STACK_SIZE_UPPER + STACK_SIZE_LOWER);
        dynasm!(out.ops
            ; vzeroupper
        );
        Self(out)
    }
    fn build_load(&mut self, dst_reg: u8, src_mem: u32) {
        assert!((dst_reg as usize) < REGISTER_LIMIT);
        let sp_offset: i32 = (self.0.stack_pos(src_mem)
            + STACK_SIZE_LOWER as u32)
            .try_into()
            .unwrap();
        dynasm!(self.0.ops
            // Pretend that we're a double
            ; movq Rx(reg(dst_reg)), [rsp + sp_offset]
        );
    }
    fn build_store(&mut self, dst_mem: u32, src_reg: u8) {
        assert!((src_reg as usize) < REGISTER_LIMIT);
        let sp_offset: i32 = (self.0.stack_pos(dst_mem)
            + STACK_SIZE_LOWER as u32)
            .try_into()
            .unwrap();
        dynasm!(self.0.ops
            // Pretend that we're a double
            ; movq [rsp + sp_offset], Rx(reg(src_reg))
        );
    }
    fn build_input(&mut self, out_reg: u8, src_arg: u32) {
        let pos = 8 * i32::try_from(src_arg).unwrap();
        dynasm!(self.0.ops
            ; vmovq Rx(reg(out_reg)), [rdi + pos]
        );
    }
    fn build_output(&mut self, arg_reg: u8, out_index: u32) {
        let pos = 8 * i32::try_from(out_index).unwrap();
        dynasm!(self.0.ops
            ; vmovq [rcx + pos], Rx(reg(arg_reg))
        );
    }
    fn build_sin(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn interval_sin(v: Interval) -> Interval {
            v.sin()
        }
        self.call_fn_unary(out_reg, lhs_reg, interval_sin);
    }
    fn build_cos(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn float_cos(f: Interval) -> Interval {
            f.cos()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_cos);
    }
    fn build_tan(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn float_tan(f: Interval) -> Interval {
            f.tan()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_tan);
    }
    fn build_asin(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn float_asin(f: Interval) -> Interval {
            f.asin()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_asin);
    }
    fn build_acos(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn float_acos(f: Interval) -> Interval {
            f.acos()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_acos);
    }
    fn build_atan(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn float_atan(f: Interval) -> Interval {
            f.atan()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_atan);
    }
    fn build_exp(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn float_exp(f: Interval) -> Interval {
            f.exp()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_exp);
    }
    fn build_ln(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "sysv64" fn float_ln(f: Interval) -> Interval {
            f.ln()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_ln);
    }
    fn build_copy(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; vmovq Rx(reg(out_reg)), Rx(reg(lhs_reg))
        );
    }
    fn build_neg(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; vpshufd Rx(reg(out_reg)), Rx(reg(lhs_reg)), 0b11110001u8 as i8
            ; pcmpeqd xmm0, xmm0 // set xmm0 to all 1s
            ; pslld xmm0, 31     // shift, leaving xmm0 = 0x80000000 x 4
            ; vxorps Rx(reg(out_reg)), Rx(reg(out_reg)), xmm0
        );
    }
    fn build_abs(&mut self, out_reg: u8, lhs_reg: u8) {
        // TODO: use cmpltss instead of 2x comiss?
        dynasm!(self.0.ops
            // Store 0.0 to xmm0, for comparisons
            ; vpxor xmm0, xmm0, xmm0

            // Pull the upper value into xmm1
            ; vpshufd xmm1, Rx(reg(lhs_reg)), 1

            // Check whether lhs.upper < 0
            ; comiss xmm0, xmm1
            ; ja >N // negative

            // Check whether lhs.lower < 0
            ; comiss xmm0, Rx(reg(lhs_reg))
            ; ja >S // straddling 0

            // Fallthrough: the whole interval is above zero, so we just copy it
            // over and return.
            ; vmovq Rx(reg(out_reg)), Rx(reg(lhs_reg))
            ; jmp >E

            // The interval is less than zero, so we need to calculate
            // [-upper, -lower]
            ; N:
            ; vpcmpeqd xmm0, xmm0, xmm0 // set xmm0 to all 1s
            ; vpslld xmm0, xmm0, 31     // shift, leaving xmm0 = 0x80000000
            ; vxorps xmm0, xmm0, Rx(reg(lhs_reg)) // xor to swap sign bits
            ; vpshufd Rx(reg(out_reg)), xmm0, 1 // swap lo and hi
            ; jmp >E

            // The interval straddles 0, so we need to calculate
            // [0.0, max(abs(lower, upper))]
            ; S:
            ; vpcmpeqd xmm0, xmm0, xmm0 // set xmm0 to all 1s
            ; vpsrld xmm0, xmm0, 1      // shift, leaving xmm0 = 0x7fffffff

            // Copy to out_reg and clear sign bits; setting up out_reg as
            // [abs(low), abs(high)]
            ; vandps Rx(reg(out_reg)), Rx(reg(lhs_reg)), xmm0

            // Set up xmm0 to contain [abs(high), abs(low)]
            ; vpshufd xmm0, Rx(reg(out_reg)), 0b11110001u8 as i8

            ; vcomiss xmm0, Rx(reg(out_reg)) // Compare abs(hi) vs abs(lo)
            ; ja >C // if abs(hi) > abs(lo), then we don't need to swap

            ; vpshufd Rx(reg(out_reg)), Rx(reg(out_reg)), 0b11110011u8 as i8

            // Clear the lowest value of the interval, leaving us with [0, ...]
            ; C:
            ; xor eax, eax
            ; vpinsrd Rx(reg(out_reg)), Rx(reg(out_reg)), eax, 0
            // fallthrough to end

            ; E:
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_recip(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; vpxor xmm0, xmm0, xmm0 // xmm0 = 0.0
            ; vcomiss Rx(reg(lhs_reg)), xmm0
            ; ja >O // low element is > 0
            ; vpshufd xmm1, Rx(reg(lhs_reg)), 1 // extract high element
            ; vcomiss xmm0, xmm1
            ; ja >O // high element is < 0

            // Bad case: the division spans 0, so return NaN
            ; pcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg))
            ; pslld Rx(reg(out_reg)), 23
            ; psrld Rx(reg(out_reg)), 1
            ; jmp >E

            ; O: // We're okay!
            // Load 1.0 into xmm0
            ; pcmpeqw xmm0, xmm0
            ; pslld xmm0, 25
            ; psrld xmm0, 2
            ; vdivps Rx(reg(out_reg)), xmm0, Rx(reg(lhs_reg))
            ; pshufd Rx(reg(out_reg)), Rx(reg(out_reg)), 0b0001
            // Fallthrough to end

            ; E:
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_sqrt(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; vpxor xmm0, xmm0, xmm0 // xmm0 = 0.0
            ; vcomiss xmm0, Rx(reg(lhs_reg))
            ; ja >L // lower_lz

            // Happy path
            ; vsqrtps Rx(reg(out_reg)), Rx(reg(lhs_reg))
            ; jmp >E

            // lower < 0 => [NaN, NaN]
            ; L:
            ; vpcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg)), Rx(reg(out_reg))
            ; vpslld Rx(reg(out_reg)), Rx(reg(out_reg)), 23
            ; vpsrld Rx(reg(out_reg)), Rx(reg(out_reg)), 1

            ; E:
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_square(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            // Put component-wise multiplication in xmm2
            ; vmulps xmm2, Rx(reg(lhs_reg)), Rx(reg(lhs_reg))
            ; vpxor xmm0, xmm0, xmm0 // xmm0 = 0.0
            ; vpshufd xmm1, Rx(reg(lhs_reg)), 1
            ; vcomiss xmm0, xmm1
            ; ja >N // negative
            ; vcomiss xmm0, Rx(reg(lhs_reg))
            ; ja >S // straddling 0

            // Fallthrough: lower > 0, so our previous result is fine
            ; vmovq Rx(reg(out_reg)), xmm2
            ; jmp >E

            // upper < 0, so we square then swap
            ; N:
            ; vpshufd Rx(reg(out_reg)), xmm2, 0b11110001u8 as i8
            ; jmp >E

            // lower < 0, upper > 0 => pick the bigger result
            ; S:
            ; vpshufd Rx(reg(out_reg)), xmm2, 1
            ; vmaxss Rx(reg(out_reg)), Rx(reg(out_reg)), xmm2
            // Shift the low float to the upper position
            ; vpsllq Rx(reg(out_reg)), Rx(reg(out_reg)), 32

            ; E:
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_floor(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; vroundps Rx(reg(out_reg)), Rx(reg(lhs_reg)), 1
        );
    }
    fn build_ceil(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; vroundps Rx(reg(out_reg)), Rx(reg(lhs_reg)), 2
        );
    }
    fn build_round(&mut self, out_reg: u8, lhs_reg: u8) {
        // Shenanigans figured through Godbolt
        dynasm!(self.0.ops
            ; mov eax, 0x80000000u32 as i32
            ; vmovd xmm1, eax
            ; vbroadcastss xmm1, xmm1
            ; vandps  xmm1, xmm1, Rx(reg(lhs_reg))
            ; mov eax, 0x3effffffu32 as i32
            ; vmovd xmm2, eax
            ; vbroadcastss xmm2, xmm2
            ; vorps  xmm1, xmm1, xmm2
            ; vaddps Rx(reg(out_reg)), xmm1, Rx(reg(lhs_reg))
            ; vroundps Rx(reg(out_reg)), Rx(reg(out_reg)), 3
        );
    }

    fn build_add(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; vaddps Rx(reg(out_reg)), Rx(reg(lhs_reg)), Rx(reg(rhs_reg))
        );
    }
    fn build_sub(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; vpshufd xmm1, Rx(reg(rhs_reg)), 0b11110001u8 as i8
            ; vsubps Rx(reg(out_reg)), Rx(reg(lhs_reg)), xmm1
        );
    }
    fn build_mul(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; vpshufd xmm2, Rx(reg(lhs_reg)), 0b01000001_i8
            ; vpshufd xmm1, Rx(reg(rhs_reg)), 0b00010001_i8
            ; vmulps xmm2, xmm2, xmm1 // xmm2 contains all 4 results

            // Extract the horizontal minimum into out
            ; vpshufd xmm1, xmm2, 0b00001110 // xmm1 = [_, _, 3, 2]
            ; vminps xmm1, xmm1, xmm2 // xmm1 = [_, _, min(3, 1), min(2, 0)]
            ; vpshufd Rx(reg(out_reg)), xmm1, 0b00000001 // out = max(3, 1)
            ; vminss Rx(reg(out_reg)), Rx(reg(out_reg)), xmm1 // out[0] is lowest value

            // Extract the horizontal maximum into xmm2
            ; vpshufd xmm1, xmm2, 0b00001110 // xmm1 = [_, _, 3, 2]
            ; vmaxps xmm1, xmm1, xmm2 // xmm1 = [_, _, max(3, 1), max(2, 0)]
            ; vpshufd xmm2, xmm1, 0b00000001 // xmm2 = max(3, 1)
            ; vmaxss xmm2, xmm2, xmm1 // xmm2[0] is highest value

            // Splice the two together
            ; vunpcklps Rx(reg(out_reg)), Rx(reg(out_reg)), xmm2
        );
    }
    fn build_div(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; vpxor xmm1, xmm1, xmm1 // xmm1 = 0.0
            ; vcomiss Rx(reg(rhs_reg)), xmm1
            ; ja >O // okay
            ; vpshufd xmm2, Rx(reg(rhs_reg)), 1
            ; vcomiss xmm1, xmm2
            ; ja >O // okay

            // Fallthrough: an input is NaN or rhs_reg spans 0; return NaN
            // by manually building it in the XMM register
            ; vpcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg)), Rx(reg(out_reg))
            ; vpslld Rx(reg(out_reg)), Rx(reg(out_reg)), 23
            ; vpsrld Rx(reg(out_reg)), Rx(reg(out_reg)), 1
            ; jmp >E

            // Reorganize
            ; O:
            ; vpshufd xmm2, Rx(reg(lhs_reg)), 0b01000001_i8
            ; vpshufd xmm1, Rx(reg(rhs_reg)), 0b00010001_i8
            ; vdivps xmm2, xmm2, xmm1 // xmm2 contains all 4 results

            // Extract the horizontal minimum into out
            ; vpshufd xmm1, xmm2, 0b00001110 // xmm1 = [_, _, 3, 2]
            ; vminps xmm1, xmm1, xmm2 // xmm1 = [_, _, min(3, 1), min(2, 0)]
            ; vpshufd Rx(reg(out_reg)), xmm1, 0b00000001 // out = max(3, 1)
            ; vminss Rx(reg(out_reg)), Rx(reg(out_reg)), xmm1 // out[0] is lowest value

            // Extract the horizontal maximum into xmm2
            ; vpshufd xmm1, xmm2, 0b00001110 // xmm1 = [_, _, 3, 2]
            ; vmaxps xmm1, xmm1, xmm2 // xmm1 = [_, _, max(3, 1), max(2, 0)]
            ; vpshufd xmm2, xmm1, 0b00000001 // xmm2 = max(3, 1)
            ; vmaxss xmm2, xmm2, xmm1 // xmm2[0] is highest value

            // Splice the two together
            ; vunpcklps Rx(reg(out_reg)), Rx(reg(out_reg)), xmm2

            ; E:
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_max(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            // xmm1 = lhs.upper
            ; vpshufd xmm1, Rx(reg(lhs_reg)), 0b11111101u8 as i8
            ; vcomiss xmm1, Rx(reg(rhs_reg)) // compare lhs.upper and rhs.lower
            ; jp >N // NaN
            ; jb >R // rhs

            // xmm1 = rhs.upper
            ; vpshufd xmm1, Rx(reg(rhs_reg)), 0b11111101u8 as i8
            ; vcomiss xmm1, Rx(reg(lhs_reg))
            ; jp >N
            ; jb >L

            // Fallthrough: ambiguous case
            ; vmaxps Rx(reg(out_reg)), Rx(reg(lhs_reg)), Rx(reg(rhs_reg))
            ; or [rsi], CHOICE_BOTH as i8
            ; jmp >E

            ; N:
            ; or [rsi], CHOICE_BOTH as i8
            // Load NaN into out_reg
            ; vpcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg)), Rx(reg(out_reg))
            ; vpslld Rx(reg(out_reg)), Rx(reg(out_reg)), 23
            ; vpsrld Rx(reg(out_reg)), Rx(reg(out_reg)), 1
            ; jmp >E

            // lhs.upper < rhs.lower
            ; L:
            ; vmovq Rx(reg(out_reg)), Rx(reg(lhs_reg))
            ; or [rsi], CHOICE_LEFT as i8
            ; or [rdx], 1i8
            ; jmp >E

            // rhs.upper < lhs.lower
            ; R:
            ; vmovq Rx(reg(out_reg)), Rx(reg(rhs_reg))
            ; or [rsi], CHOICE_RIGHT as i8
            ; or [rdx], 1i8
            // Fallthrough

            ; E:
            ; add rsi, 1
        );
        self.0.ops.commit_local().unwrap();
    }

    fn build_min(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        // TODO: Godbolt uses unpcklps ?
        dynasm!(self.0.ops
            //  if lhs.upper < rhs.lower
            //      *choices++ |= CHOICE_LEFT
            //      out = lhs
            //  elif rhs.upper < lhs.lower
            //      *choices++ |= CHOICE_RIGHT
            //      out = rhs
            //  else
            //      *choices++ |= CHOICE_BOTH
            //      out = fmin(lhs, rhs)

            // TODO: use cmpltss to do both comparisons?

            // xmm1 = lhs.upper
            ; vpshufd xmm1, Rx(reg(lhs_reg)), 0b11111101u8 as i8
            ; vcomiss xmm1, Rx(reg(rhs_reg)) // compare lhs.upper and rhs.lower
            ; jp >N
            ; jb >L

            // xmm1 = rhs.upper
            ; vpshufd xmm1, Rx(reg(rhs_reg)), 0b11111101u8 as i8
            ; vcomiss xmm1, Rx(reg(lhs_reg))
            ; jp >N
            ; jb >R

            // Fallthrough: ambiguous case
            ; vminps Rx(reg(out_reg)), Rx(reg(lhs_reg)), Rx(reg(rhs_reg))
            ; or [rsi], CHOICE_BOTH as i8
            ; jmp >E

            ; N:
            ; or [rsi], CHOICE_BOTH as i8
            // Load NAN into out_reg
            ; vpcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg)), Rx(reg(out_reg))
            ; vpslld Rx(reg(out_reg)), Rx(reg(out_reg)), 23
            ; vpsrld Rx(reg(out_reg)), Rx(reg(out_reg)), 1
            ; jmp >E

            // lhs.upper < rhs.lower
            ; L:
            ; vmovq Rx(reg(out_reg)), Rx(reg(lhs_reg))
            ; or [rsi], CHOICE_LEFT as i8
            ; or [rdx], 1i8
            ; jmp >E

            // rhs.upper < lhs.lower
            ; R:
            ; vmovq Rx(reg(out_reg)), Rx(reg(rhs_reg))
            ; or [rsi], CHOICE_RIGHT as i8
            ; or [rdx], 1i8
            // Fallthrough

            ; E:
            ; add rsi, 1
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_mod(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        extern "sysv64" fn interval_modulo(
            lhs: Interval,
            rhs: Interval,
        ) -> Interval {
            lhs.rem_euclid(rhs)
        }
        self.call_fn_binary(out_reg, lhs_reg, rhs_reg, interval_modulo);
    }

    fn build_atan2(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        extern "sysv64" fn interval_atan2(
            lhs: Interval,
            rhs: Interval,
        ) -> Interval {
            lhs.atan2(rhs)
        }
        self.call_fn_binary(out_reg, lhs_reg, rhs_reg, interval_atan2);
    }

    fn build_not(&mut self, out_reg: u8, arg_reg: u8) {
        dynasm!(self.0.ops
            // xmm0 = 0.0
            // xmm1 = arg.upper
            ; vpxor xmm0, xmm0, xmm0
            ; vpshufd xmm1, Rx(reg(arg_reg)), 0b11111101u8 as i8 // lhs.upper

            // xmm2 = !arg.contains(0.0)
            ; vcmpgtss xmm3, Rx(reg(arg_reg)), xmm0 // lower > 0.0
            ; vcmpltss xmm2, xmm1, xmm0 // upper < 0.0
            ; vorps xmm2, xmm2, xmm3 // (lower > 0) || (upper < 0)

            // xmm2 = !!arg.contains(0.0)
            ; vpcmpeqd xmm3, xmm3, xmm3 // all 1s
            ; vxorpd xmm2, xmm2, xmm3

            // xmm3 = (lower == 0) && (upper == 0)
            ; vcmpeqss xmm3, Rx(reg(arg_reg)), xmm0
            ; vcmpeqss xmm1, xmm1, xmm0
            ; vandps xmm3, xmm1, xmm3

            // xmm0 = 1.0
            ; mov eax, 1f32.to_bits() as i32
            ; vmovd xmm0, eax

            // lower_out (xmm3) = (lower == 0) && (upper == 0)
            ; vandps xmm3, xmm3, xmm0

            // upper_out = !!arg.contains(0.0)
            ; vandps xmm2, xmm0, xmm2

            // splice them together
            ; vunpcklps Rx(reg(out_reg)), xmm3, xmm2
        );
    }

    fn build_and(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        assert_ne!(reg(lhs_reg), IMM_REG);
        dynasm!(self.0.ops
            // check for NANs in RHS
            ; vcomiss Rx(reg(lhs_reg)), Rx(reg(lhs_reg))
            ; jp >N
            ; vcomiss Rx(reg(rhs_reg)), Rx(reg(rhs_reg))
            ; jnp >M
            // otherwise, fallthrough into nan handling

            // Load NAN into out_reg (TODO is this the easiest way?)
            ; N:
            ; or [rsi], CHOICE_BOTH as i8
            ; vpcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg)), Rx(reg(out_reg))
            ; vpslld Rx(reg(out_reg)), Rx(reg(out_reg)), 23
            ; vpsrld Rx(reg(out_reg)), Rx(reg(out_reg)), 1
            ; jmp >E

            // otherwise, keep going
            ; M:
            ; vpxor xmm1, xmm1, xmm1 // xmm1 = 0.0

            // xmm2 = !arg.contains(0.0)
            ; vcmpgtss xmm3, Rx(reg(lhs_reg)), xmm1 // lower > 0.0
            ; vpshufd xmm2, Rx(reg(lhs_reg)), 0b11111101u8 as i8 // lhs.upper
            ; vcmpltss xmm2, xmm2, xmm1 // upper < 0.0
            ; vorps xmm2, xmm2, xmm3 // (lower > 0) || (upper < 0)
            ; vcomiss xmm1, xmm2 // compare against 0.0
            ; jnp >A // skip this branch (jnp because xmm2 will be NAN, all 1s)

            // !lhs.contains(0.0) -> RHS
            ; vmovq Rx(reg(out_reg)), Rx(reg(rhs_reg))
            ; or [rsi], CHOICE_RIGHT as i8
            ; or [rdx], 1i8
            ; jmp >E

            // xmm3 = (lower == 0) && (upper == 0)
            ; A:
            ; vcmpeqss xmm3, Rx(reg(lhs_reg)), xmm1
            ; vpshufd xmm2, Rx(reg(lhs_reg)), 0b11111101u8 as i8 // lhs.upper
            ; vcmpeqss xmm2, xmm2, xmm1
            ; vandps xmm3, xmm2, xmm3
            ; vcomiss xmm1, xmm3
            ; jnp >C // skip this branch

            // (lhs.lower == 0) && (lhs.upper == 0) -> LHS
            ; vmovq Rx(reg(out_reg)), Rx(reg(lhs_reg))
            ; or [rsi], CHOICE_LEFT as i8
            ; or [rdx], 1i8
            ; jmp >E

            // Normal case, we have to combine the outputs
            ; C:
            ; or [rsi], CHOICE_BOTH as i8
            ; vpshufd xmm2, Rx(reg(rhs_reg)), 0b11111101u8 as i8 // lhs.upper
            ; vmaxss xmm2, xmm2, xmm1 // xmm1 = max(rhs.upper, 0.0)
            ; vminss xmm1, Rx(reg(rhs_reg)), xmm1 // xmm1 = min(rhs.lower, 0.0)
            ; vunpcklps Rx(reg(out_reg)), xmm1, xmm2

            ; E: // exit
            ; add rsi, 1
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_or(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        assert_ne!(reg(lhs_reg), IMM_REG);
        dynasm!(self.0.ops
            // check for NANs in RHS
            ; vcomiss Rx(reg(lhs_reg)), Rx(reg(lhs_reg))
            ; jp >N
            ; vcomiss Rx(reg(rhs_reg)), Rx(reg(rhs_reg))
            ; jnp >M
            // otherwise, fallthrough into nan handling

            // Load NAN into out_reg (TODO is this the easiest way?)
            ; N:
            ; or [rsi], CHOICE_BOTH as i8
            ; vpcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg)), Rx(reg(out_reg))
            ; vpslld Rx(reg(out_reg)), Rx(reg(out_reg)), 23
            ; vpsrld Rx(reg(out_reg)), Rx(reg(out_reg)), 1
            ; jmp >E

            ; M:
            ; vpxor xmm1, xmm1, xmm1 // xmm1 = 0.0

            // xmm2 = !arg.contains(0.0)
            ; vcmpgtss xmm3, Rx(reg(lhs_reg)), xmm1 // lower > 0.0
            ; vpshufd xmm2, Rx(reg(lhs_reg)), 0b11111101u8 as i8 // lhs.upper
            ; vcmpltss xmm2, xmm2, xmm1 // upper < 0.0
            ; vorps xmm2, xmm2, xmm3 // (lower > 0) || (upper < 0)
            ; vcomiss xmm1, xmm2 // compare against 0.0
            ; jnp >A // skip this branch (jnp because xmm2 will be NAN, all 1s)

            // !lhs.contains(0.0) -> LHS
            ; vmovq Rx(reg(out_reg)), Rx(reg(lhs_reg))
            ; or [rsi], CHOICE_LEFT as i8
            ; or [rdx], 1i8
            ; jmp >E

            // xmm3 = (lower == 0) && (upper == 0)
            ; A:
            ; vcmpeqss xmm3, Rx(reg(lhs_reg)), xmm1
            ; vpshufd xmm2, Rx(reg(lhs_reg)), 0b11111101u8 as i8 // lhs.upper
            ; vcmpeqss xmm2, xmm2, xmm1
            ; vandps xmm3, xmm2, xmm3
            ; vcomiss xmm1, xmm3
            ; jnp >C // skip this branch

            // (lhs.lower == 0) && (lhs.upper == 0) -> RHS
            ; vmovq Rx(reg(out_reg)), Rx(reg(rhs_reg))
            ; or [rsi], CHOICE_RIGHT as i8
            ; or [rdx], 1i8
            ; jmp >E

            // Normal case, combining the outputs
            ; C:
            ; or [rsi], CHOICE_BOTH as i8
            ; vpshufd xmm2, Rx(reg(lhs_reg)), 0b11111101u8 as i8 // lhs.upper
            ; vpshufd xmm1, Rx(reg(rhs_reg)), 0b11111101u8 as i8 // rhs.upper
            ; vmaxss xmm1, xmm1, xmm2 // xmm1 = max(lhs.upper, rhs.upper)
            ; vminss xmm2, Rx(reg(lhs_reg)), Rx(reg(rhs_reg))
            ; vunpcklps Rx(reg(out_reg)), xmm2, xmm1

            ; E: // exit
            ; add rsi, 1
        );
        self.0.ops.commit_local().unwrap();
    }
    fn build_compare(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        // TODO: Godbolt uses unpcklps ?
        dynasm!(self.0.ops
            //  if lhs.has_nan || rhs.has_nan
            //      out = [NAN, NAN]
            //  elif lhs.upper < rhs.lower
            //      out = [-1, 1]
            //  elif rhs.upper < lhs.lower
            //      out = [1, 1]
            //  else
            //      out = [-1, 1]

            // TODO: use cmpltss to do both comparisons?
            // xmm1 = lhs.upper
            ; vpshufd xmm1, Rx(reg(lhs_reg)), 0b11111101u8 as i8
            ; vcomiss xmm1, Rx(reg(rhs_reg)) // compare lhs.upper and rhs.lower
            ; jp >N
            ; jb >L

            // xmm1 = rhs.upper
            ; vpshufd xmm1, Rx(reg(rhs_reg)), 0b11111101u8 as i8
            ; vcomiss xmm1, Rx(reg(lhs_reg))
            ; jp >N
            ; jb >R

            // Fallthrough: ambiguous case, so load [-1, 1]
            ; mov eax, (-1f32).to_bits() as i32
            ; vpinsrd Rx(reg(out_reg)), Rx(reg(out_reg)), eax, 0
            ; mov eax, 1f32.to_bits() as i32
            ; vpinsrd Rx(reg(out_reg)), Rx(reg(out_reg)), eax, 1
            ; jmp >E

            ; N:
            // Load NAN into out_reg
            ; vpcmpeqw Rx(reg(out_reg)), Rx(reg(out_reg)), Rx(reg(out_reg))
            ; vpslld Rx(reg(out_reg)), Rx(reg(out_reg)), 23
            ; vpsrld Rx(reg(out_reg)), Rx(reg(out_reg)), 1
            ; jmp >E

            // lhs.upper < rhs.lower
            ; L:
            ; mov eax, (-1f32).to_bits() as i32
            ; vmovd xmm1, eax
            ; vbroadcastss Rx(reg(out_reg)), xmm1
            ; jmp >E

            // rhs.upper < lhs.lower
            ; R:
            ; mov eax, 1f32.to_bits() as i32
            ; vmovd xmm1, eax
            ; vbroadcastss Rx(reg(out_reg)), xmm1
            // Fallthrough

            ; E:
        );
        self.0.ops.commit_local().unwrap();
    }
    fn load_imm(&mut self, imm: f32) -> u8 {
        let imm_u32 = imm.to_bits();
        dynasm!(self.0.ops
            ; mov eax, imm_u32 as i32
            ; vmovd Rx(IMM_REG), eax
            ; vbroadcastss Rx(IMM_REG), Rx(IMM_REG)
        );
        IMM_REG.wrapping_sub(OFFSET)
    }
    fn finalize(mut self) -> Result<Mmap, DynasmError> {
        if self.0.saved_callee_regs {
            dynasm!(self.0.ops
                ; mov r12, [rbp - 0x8]
                ; mov r13, [rbp - 0x10]
                ; mov r14, [rbp - 0x18]
                ; mov r15, [rbp - 0x20]
            );
        }
        self.0.finalize()
    }
}

#[expect(clippy::useless_conversion)]
impl IntervalAssembler {
    fn ensure_callee_regs_saved(&mut self) {
        // Back up a few callee-saved registers that we're about to use
        if !self.0.saved_callee_regs {
            dynasm!(self.0.ops
                ; mov [rbp - 0x8], r12
                ; mov [rbp - 0x10], r13
                ; mov [rbp - 0x18], r14
                ; mov [rbp - 0x20], r15
            );
            self.0.saved_callee_regs = true
        }
    }
    fn call_fn_unary(
        &mut self,
        out_reg: u8,
        arg_reg: u8,
        f: extern "sysv64" fn(Interval) -> Interval,
    ) {
        self.ensure_callee_regs_saved();
        let addr = f as usize;
        dynasm!(self.0.ops
            // Back up choice/simplify pointers to registers
            ; mov r12, rdi
            ; mov r13, rsi
            ; mov r14, rdx
            ; mov r15, rcx

            // Back up register values to the stack, treating them as doubles
            // (since we want to back up all 64 bits)
            //
            // TODO should these be `movq` instead?
            ; vmovsd [rsp], xmm4
            ; vmovsd [rsp + 0x08], xmm5
            ; vmovsd [rsp + 0x10], xmm6
            ; vmovsd [rsp + 0x18], xmm7
            ; vmovsd [rsp + 0x20], xmm8
            ; vmovsd [rsp + 0x28], xmm9
            ; vmovsd [rsp + 0x30], xmm10
            ; vmovsd [rsp + 0x38], xmm11
            ; vmovsd [rsp + 0x40], xmm12
            ; vmovsd [rsp + 0x48], xmm13
            ; vmovsd [rsp + 0x50], xmm14
            ; vmovsd [rsp + 0x58], xmm15

            // copy arg to xmm0
            ; vmovq xmm0, Rx(reg(arg_reg))
            ; mov rsi, QWORD addr as _
            ; call rsi

            // Restore float registers
            ; vmovsd xmm4, [rsp]
            ; vmovsd xmm5, [rsp + 0x08]
            ; vmovsd xmm6, [rsp + 0x10]
            ; vmovsd xmm7, [rsp + 0x18]
            ; vmovsd xmm8, [rsp + 0x20]
            ; vmovsd xmm9, [rsp + 0x28]
            ; vmovsd xmm10, [rsp + 0x30]
            ; vmovsd xmm11, [rsp + 0x38]
            ; vmovsd xmm12, [rsp + 0x40]
            ; vmovsd xmm13, [rsp + 0x48]
            ; vmovsd xmm14, [rsp + 0x50]
            ; vmovsd xmm15, [rsp + 0x58]

            // Restore choice/simplify pointers
            ; mov rdi, r12
            ; mov rsi, r13
            ; mov rdx, r14
            ; mov rcx, r15

            // Unpack the interval result
            ; vmovq Rx(reg(out_reg)), xmm0
        );
    }

    fn call_fn_binary(
        &mut self,
        out_reg: u8,
        lhs_reg: u8,
        rhs_reg: u8,
        f: extern "sysv64" fn(Interval, Interval) -> Interval,
    ) {
        self.ensure_callee_regs_saved();
        let addr = f as usize;
        dynasm!(self.0.ops
            // Back up choice/simplify pointers to registers
            ; mov r12, rdi
            ; mov r13, rsi
            ; mov r14, rdx
            ; mov r15, rcx

            // Back up register values to the stack, treating them as doubles
            // (since we want to back up all 64 bits)
            //
            // TODO should these be `movq` instead?
            ; vmovsd [rsp], xmm4
            ; vmovsd [rsp + 0x08], xmm5
            ; vmovsd [rsp + 0x10], xmm6
            ; vmovsd [rsp + 0x18], xmm7
            ; vmovsd [rsp + 0x20], xmm8
            ; vmovsd [rsp + 0x28], xmm9
            ; vmovsd [rsp + 0x30], xmm10
            ; vmovsd [rsp + 0x38], xmm11
            ; vmovsd [rsp + 0x40], xmm12
            ; vmovsd [rsp + 0x48], xmm13
            ; vmovsd [rsp + 0x50], xmm14
            ; vmovsd [rsp + 0x58], xmm15

            // copy args (note that we overwrite xmm0 last, because it could be
            // one of our values if we're using IMM_REG)
            ; vmovq xmm1, Rx(reg(rhs_reg))
            ; vmovq xmm0, Rx(reg(lhs_reg))
            ; mov rsi, QWORD addr as _
            ; call rsi

            // Restore float registers
            ; vmovsd xmm4, [rsp]
            ; vmovsd xmm5, [rsp + 0x08]
            ; vmovsd xmm6, [rsp + 0x10]
            ; vmovsd xmm7, [rsp + 0x18]
            ; vmovsd xmm8, [rsp + 0x20]
            ; vmovsd xmm9, [rsp + 0x28]
            ; vmovsd xmm10, [rsp + 0x30]
            ; vmovsd xmm11, [rsp + 0x38]
            ; vmovsd xmm12, [rsp + 0x40]
            ; vmovsd xmm13, [rsp + 0x48]
            ; vmovsd xmm14, [rsp + 0x50]
            ; vmovsd xmm15, [rsp + 0x58]

            // Restore choice/simplify pointers
            ; mov rdi, r12
            ; mov rsi, r13
            ; mov rdx, r14
            ; mov rcx, r15

            // Unpack the interval result
            ; vmovq Rx(reg(out_reg)), xmm0
        );
    }
}