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/*==========================================================================*/
/* Sail */
/* */
/* Sail and the Sail architecture models here, comprising all files and */
/* directories except the ASL-derived Sail code in the aarch64 directory, */
/* are subject to the BSD two-clause licence below. */
/* */
/* The ASL derived parts of the ARMv8.3 specification in */
/* aarch64/no_vector and aarch64/full are copyright ARM Ltd. */
/* */
/* Copyright (c) 2013-2021 */
/* Kathyrn Gray */
/* Shaked Flur */
/* Stephen Kell */
/* Gabriel Kerneis */
/* Robert Norton-Wright */
/* Christopher Pulte */
/* Peter Sewell */
/* Alasdair Armstrong */
/* Brian Campbell */
/* Thomas Bauereiss */
/* Anthony Fox */
/* Jon French */
/* Dominic Mulligan */
/* Stephen Kell */
/* Mark Wassell */
/* Alastair Reid (Arm Ltd) */
/* */
/* All rights reserved. */
/* */
/* This work was partially supported by EPSRC grant EP/K008528/1 <a */
/* href="http://www.cl.cam.ac.uk/users/pes20/rems">REMS: Rigorous */
/* Engineering for Mainstream Systems</a>, an ARM iCASE award, EPSRC IAA */
/* KTF funding, and donations from Arm. This project has received */
/* funding from the European Research Council (ERC) under the European */
/* Union’s Horizon 2020 research and innovation programme (grant */
/* agreement No 789108, ELVER). */
/* */
/* This software was developed by SRI International and the University of */
/* Cambridge Computer Laboratory (Department of Computer Science and */
/* Technology) under DARPA/AFRL contracts FA8650-18-C-7809 ("CIFV") */
/* and FA8750-10-C-0237 ("CTSRD"). */
/* */
/* SPDX-License-Identifier: BSD-2-Clause */
/*==========================================================================*/
$sail_internal
$ifndef _FLOATING_POINT
$define _FLOATING_POINT
// rounding_mode name already in use by various specifications
type rounding_mode = float_rounding_mode
val round_nearest_ties_to_even = pure "round_nearest_ties_to_even" : unit -> rounding_mode
val round_nearest_ties_to_away = pure "round_nearest_ties_to_away" : unit -> rounding_mode
val round_toward_positive = pure "round_toward_positive" : unit -> rounding_mode
val round_toward_negative = pure "round_toward_negative" : unit -> rounding_mode
val round_toward_zero = pure "round_toward_zero" : unit -> rounding_mode
val undefined_float16 = impure "fp16_undefined" : unit -> float16
val undefined_float32 = impure "fp32_undefined" : unit -> float32
val undefined_float64 = impure "fp64_undefined" : unit -> float64
val undefined_float128 = impure "fp128_undefined" : unit -> float128
val fp16_nan = pure "fp16_nan" : unit -> float16
val fp32_nan = pure "fp32_nan" : unit -> float32
val fp64_nan = pure "fp64_nan" : unit -> float64
val fp128_nan = pure "fp128_nan" : unit -> float128
val fp16_inf = pure "fp16_inf" : unit -> float16
val fp32_inf = pure "fp32_inf" : unit -> float32
val fp64_inf = pure "fp64_inf" : unit -> float64
val fp128_inf = pure "fp128_inf" : unit -> float128
val fp16_negative_inf = pure "fp16_negative_inf" : unit -> float16
val fp32_negative_inf = pure "fp32_negative_inf" : unit -> float32
val fp64_negative_inf = pure "fp64_negative_inf" : unit -> float64
val fp128_negative_inf = pure "fp128_negative_inf" : unit -> float128
val fp16_zero = pure "fp16_zero" : unit -> float16
val fp32_zero = pure "fp32_zero" : unit -> float32
val fp64_zero = pure "fp64_zero" : unit -> float64
val fp128_zero = pure "fp128_zero" : unit -> float128
val fp16_negative_zero = pure "fp16_negative_zero" : unit -> float16
val fp32_negative_zero = pure "fp32_negative_zero" : unit -> float32
val fp64_negative_zero = pure "fp64_negative_zero" : unit -> float64
val fp128_negative_zero = pure "fp128_negative_zero" : unit -> float128
val fp16_abs = pure "fp_abs" : float16 -> float16
val fp32_abs = pure "fp_abs" : float32 -> float32
val fp64_abs = pure "fp_abs" : float64 -> float64
val fp128_abs = pure "fp_abs" : float128 -> float128
val fp16_neg = pure "fp_neg" : float16 -> float16
val fp32_neg = pure "fp_neg" : float32 -> float32
val fp64_neg = pure "fp_neg" : float64 -> float64
val fp128_neg = pure "fp_neg" : float128 -> float128
val fp16_is_normal = pure "fp_is_normal" : float16 -> bool
val fp32_is_normal = pure "fp_is_normal" : float32 -> bool
val fp64_is_normal = pure "fp_is_normal" : float64 -> bool
val fp128_is_normal = pure "fp_is_normal" : float128 -> bool
val fp16_is_subnormal = pure "fp_is_subnormal" : float16 -> bool
val fp32_is_subnormal = pure "fp_is_subnormal" : float32 -> bool
val fp64_is_subnormal = pure "fp_is_subnormal" : float64 -> bool
val fp128_is_subnormal = pure "fp_is_subnormal" : float128 -> bool
val fp16_is_zero = pure "fp_is_zero" : float16 -> bool
val fp32_is_zero = pure "fp_is_zero" : float32 -> bool
val fp64_is_zero = pure "fp_is_zero" : float64 -> bool
val fp128_is_zero = pure "fp_is_zero" : float128 -> bool
val fp16_is_infinite = pure "fp_is_infinite" : float16 -> bool
val fp32_is_infinite = pure "fp_is_infinite" : float32 -> bool
val fp64_is_infinite = pure "fp_is_infinite" : float64 -> bool
val fp128_is_infinite = pure "fp_is_infinite" : float128 -> bool
val fp16_is_nan = pure "fp_is_nan" : float16 -> bool
val fp32_is_nan = pure "fp_is_nan" : float32 -> bool
val fp64_is_nan = pure "fp_is_nan" : float64 -> bool
val fp128_is_nan = pure "fp_is_nan" : float128 -> bool
val fp16_is_negative = pure "fp_is_negative" : float16 -> bool
val fp32_is_negative = pure "fp_is_negative" : float32 -> bool
val fp64_is_negative = pure "fp_is_negative" : float64 -> bool
val fp128_is_negative = pure "fp_is_negative" : float128 -> bool
val fp16_is_positive = pure "fp_is_positive" : float16 -> bool
val fp32_is_positive = pure "fp_is_positive" : float32 -> bool
val fp64_is_positive = pure "fp_is_positive" : float64 -> bool
val fp128_is_positive = pure "fp_is_positive" : float128 -> bool
$ifdef _DEFAULT_DEC
val fp16_from_ieee = pure "fp16_from_ieee" : bitvector(16, dec) -> float16
val fp32_from_ieee = pure "fp32_from_ieee" : bitvector(32, dec) -> float32
val fp64_from_ieee = pure "fp64_from_ieee" : bitvector(64, dec) -> float64
val fp128_from_ieee = pure "fp128_from_ieee" : bitvector(128, dec) -> float128
$endif
val fp16_sqrt = pure "fp_sqrt" : (rounding_mode, float16) -> float16
val fp32_sqrt = pure "fp_sqrt" : (rounding_mode, float32) -> float32
val fp64_sqrt = pure "fp_sqrt" : (rounding_mode, float64) -> float64
val fp128_sqrt = pure "fp_sqrt" : (rounding_mode, float128) -> float128
val fp16_round_to_integral = pure "fp_round_to_integral" : (rounding_mode, float16) -> float16
val fp32_round_to_integral = pure "fp_round_to_integral" : (rounding_mode, float32) -> float32
val fp64_round_to_integral = pure "fp_round_to_integral" : (rounding_mode, float64) -> float64
val fp128_round_to_integral = pure "fp_round_to_integral" : (rounding_mode, float128) -> float128
val fp16_to_fp32 = pure "fp32_convert" : (rounding_mode, float16) -> float32
val fp16_to_fp64 = pure "fp64_convert" : (rounding_mode, float16) -> float64
val fp16_to_fp128 = pure "fp128_convert" : (rounding_mode, float16) -> float128
val fp32_to_fp16 = pure "fp16_convert" : (rounding_mode, float32) -> float16
val fp32_to_fp64 = pure "fp64_convert" : (rounding_mode, float32) -> float64
val fp32_to_fp128 = pure "fp128_convert" : (rounding_mode, float32) -> float128
val fp64_to_fp16 = pure "fp16_convert" : (rounding_mode, float64) -> float16
val fp64_to_fp32 = pure "fp32_convert" : (rounding_mode, float64) -> float32
val fp64_to_fp128 = pure "fp128_convert" : (rounding_mode, float64) -> float128
val fp128_to_fp16 = pure "fp16_convert" : (rounding_mode, float128) -> float16
val fp128_to_fp32 = pure "fp32_convert" : (rounding_mode, float128) -> float32
val fp128_to_fp64 = pure "fp64_convert" : (rounding_mode, float128) -> float64
$ifdef _DEFAULT_DEC
val fp16_from_signed = pure "fp16_from_signed" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float16
val fp32_from_signed = pure "fp32_from_signed" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float32
val fp64_from_signed = pure "fp64_from_signed" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float64
val fp128_from_signed = pure "fp128_from_signed" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float128
val fp16_from_unsigned = pure "fp16_from_unsigned" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float16
val fp32_from_unsigned = pure "fp32_from_unsigned" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float32
val fp64_from_unsigned = pure "fp64_from_unsigned" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float64
val fp128_from_unsigned = pure "fp128_from_unsigned" : forall 'n, 'n > 0. (rounding_mode, bitvector('n, dec)) -> float128
$endif
val fp16_rem = pure "fp_rem" : (float16, float16) -> float16
val fp32_rem = pure "fp_rem" : (float32, float32) -> float32
val fp64_rem = pure "fp_rem" : (float64, float64) -> float64
val fp128_rem = pure "fp_rem" : (float128, float128) -> float128
val fp16_min = pure "fp_min" : (float16, float16) -> float16
val fp32_min = pure "fp_min" : (float32, float32) -> float32
val fp64_min = pure "fp_min" : (float64, float64) -> float64
val fp128_min = pure "fp_min" : (float128, float128) -> float128
val fp16_max = pure "fp_max" : (float16, float16) -> float16
val fp32_max = pure "fp_max" : (float32, float32) -> float32
val fp64_max = pure "fp_max" : (float64, float64) -> float64
val fp128_max = pure "fp_max" : (float128, float128) -> float128
val fp16_lteq = pure "fp_lteq" : (float16, float16) -> bool
val fp32_lteq = pure "fp_lteq" : (float32, float32) -> bool
val fp64_lteq = pure "fp_lteq" : (float64, float64) -> bool
val fp128_lteq = pure "fp_lteq" : (float128, float128) -> bool
val fp16_lt = pure "fp_lt" : (float16, float16) -> bool
val fp32_lt = pure "fp_lt" : (float32, float32) -> bool
val fp64_lt = pure "fp_lt" : (float64, float64) -> bool
val fp128_lt = pure "fp_lt" : (float128, float128) -> bool
val fp16_gteq = pure "fp_gteq" : (float16, float16) -> bool
val fp32_gteq = pure "fp_gteq" : (float32, float32) -> bool
val fp64_gteq = pure "fp_gteq" : (float64, float64) -> bool
val fp128_gteq = pure "fp_gteq" : (float128, float128) -> bool
val fp16_gt = pure "fp_gt" : (float16, float16) -> bool
val fp32_gt = pure "fp_gt" : (float32, float32) -> bool
val fp64_gt = pure "fp_gt" : (float64, float64) -> bool
val fp128_gt = pure "fp_gt" : (float128, float128) -> bool
val fp16_eq = pure "fp_eq" : (float16, float16) -> bool
val fp32_eq = pure "fp_eq" : (float32, float32) -> bool
val fp64_eq = pure "fp_eq" : (float64, float64) -> bool
val fp128_eq = pure "fp_eq" : (float128, float128) -> bool
val fp16_add = pure "fp_add" : (rounding_mode, float16, float16) -> float16
val fp32_add = pure "fp_add" : (rounding_mode, float32, float32) -> float32
val fp64_add = pure "fp_add" : (rounding_mode, float64, float64) -> float64
val fp128_add = pure "fp_add" : (rounding_mode, float128, float128) -> float128
val fp16_sub = pure "fp_sub" : (rounding_mode, float16, float16) -> float16
val fp32_sub = pure "fp_sub" : (rounding_mode, float32, float32) -> float32
val fp64_sub = pure "fp_sub" : (rounding_mode, float64, float64) -> float64
val fp128_sub = pure "fp_sub" : (rounding_mode, float128, float128) -> float128
val fp16_mul = pure "fp_mul" : (rounding_mode, float16, float16) -> float16
val fp32_mul = pure "fp_mul" : (rounding_mode, float32, float32) -> float32
val fp64_mul = pure "fp_mul" : (rounding_mode, float64, float64) -> float64
val fp128_mul = pure "fp_mul" : (rounding_mode, float128, float128) -> float128
val fp16_div = pure "fp_div" : (rounding_mode, float16, float16) -> float16
val fp32_div = pure "fp_div" : (rounding_mode, float32, float32) -> float32
val fp64_div = pure "fp_div" : (rounding_mode, float64, float64) -> float64
val fp128_div = pure "fp_div" : (rounding_mode, float128, float128) -> float128
val fp16_fma = pure "fp_fma" : (rounding_mode, float16, float16, float16) -> float16
val fp32_fma = pure "fp_fma" : (rounding_mode, float32, float32, float32) -> float32
val fp64_fma = pure "fp_fma" : (rounding_mode, float64, float64, float64) -> float64
val fp128_fma = pure "fp_fma" : (rounding_mode, float128, float128, float128) -> float128
$endif _FLOATING_POINT
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