2023-11-08 15:52:36 +00:00
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//
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// Arithmetic.hpp
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// Clock Signal
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//
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// Created by Thomas Harte on 08/11/2023.
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// Copyright © 2023 Thomas Harte. All rights reserved.
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//
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2024-01-17 04:34:46 +00:00
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#pragma once
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2023-11-08 15:52:36 +00:00
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#include "../AccessType.hpp"
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#include "../Interrupts.hpp"
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#include "../Perform.hpp"
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#include "../../../Numeric/Carry.hpp"
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namespace InstructionSet::x86::Primitive {
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template <bool with_carry, typename IntT, typename ContextT>
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void add(
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modify_t<IntT> destination,
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read_t<IntT> source,
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ContextT &context
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) {
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/*
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DEST ← DEST + SRC [+ CF];
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*/
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/*
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The OF, SF, ZF, AF, CF, and PF flags are set according to the result.
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*/
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const IntT result = destination + source + (with_carry ? context.flags.template carry_bit<IntT>() : 0);
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context.flags.template set_from<Flag::Carry>(
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Numeric::carried_out<true, Numeric::bit_size<IntT>() - 1>(destination, source, result));
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context.flags.template set_from<Flag::AuxiliaryCarry>(
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Numeric::carried_in<4>(destination, source, result));
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context.flags.template set_from<Flag::Overflow>(
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Numeric::overflow<true, IntT>(destination, source, result));
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context.flags.template set_from<IntT, Flag::Zero, Flag::Sign, Flag::ParityOdd>(result);
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destination = result;
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}
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template <bool with_borrow, AccessType destination_type, typename IntT, typename ContextT>
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void sub(
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access_t<IntT, destination_type> destination,
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read_t<IntT> source,
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ContextT &context
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) {
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/*
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DEST ← DEST - (SRC [+ CF]);
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*/
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/*
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The OF, SF, ZF, AF, CF, and PF flags are set according to the result.
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*/
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const IntT result = destination - source - (with_borrow ? context.flags.template carry_bit<IntT>() : 0);
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context.flags.template set_from<Flag::Carry>(
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Numeric::carried_out<false, Numeric::bit_size<IntT>() - 1>(destination, source, result));
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context.flags.template set_from<Flag::AuxiliaryCarry>(
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Numeric::carried_in<4>(destination, source, result));
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context.flags.template set_from<Flag::Overflow>(
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Numeric::overflow<false, IntT>(destination, source, result));
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context.flags.template set_from<IntT, Flag::Zero, Flag::Sign, Flag::ParityOdd>(result);
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if constexpr (is_writeable(destination_type)) {
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destination = result;
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}
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}
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template <typename IntT, typename ContextT>
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void test(
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read_t<IntT> destination,
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read_t<IntT> source,
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ContextT &context
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) {
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/*
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TEMP ← SRC1 AND SRC2;
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SF ← MSB(TEMP);
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IF TEMP = 0
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THEN ZF ← 0;
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ELSE ZF ← 1;
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FI:
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PF ← BitwiseXNOR(TEMP[0:7]);
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CF ← 0;
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OF ← 0;
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*/
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/*
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The OF and CF flags are cleared to 0.
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The SF, ZF, and PF flags are set according to the result (see the “Operation” section above).
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The state of the AF flag is undefined.
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*/
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const IntT result = destination & source;
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context.flags.template set_from<Flag::Carry, Flag::Overflow>(0);
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context.flags.template set_from<IntT, Flag::Zero, Flag::Sign, Flag::ParityOdd>(result);
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}
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template <typename IntT, typename ContextT>
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void mul(
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modify_t<IntT> destination_high,
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modify_t<IntT> destination_low,
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read_t<IntT> source,
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ContextT &context
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) {
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/*
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IF byte operation
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THEN
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AX ← AL * SRC
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ELSE (* word or doubleword operation *)
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IF OperandSize = 16 THEN
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DX:AX ← AX * SRC
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ELSE (* OperandSize = 32 *)
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EDX:EAX ← EAX * SRC
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FI;
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*/
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/*
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The OF and CF flags are cleared to 0 if the upper half of the result is 0;
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otherwise, they are set to 1. The SF, ZF, AF, and PF flags are undefined.
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*/
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destination_high = (destination_low * source) >> (8 * sizeof(IntT));
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destination_low *= source;
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context.flags.template set_from<Flag::Overflow, Flag::Carry>(destination_high);
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}
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template <typename IntT, typename ContextT>
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void imul(
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modify_t<IntT> destination_high,
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modify_t<IntT> destination_low,
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read_t<IntT> source,
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ContextT &context
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) {
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/*
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(as modified by https://www.felixcloutier.com/x86/daa ...)
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IF (OperandSize = 8)
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THEN
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AX ← AL ∗ SRC (* signed multiplication *)
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IF (AX = SignExtend(AL))
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THEN CF = 0; OF = 0;
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ELSE CF = 1; OF = 1;
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FI;
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ELSE IF OperandSize = 16
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THEN
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DX:AX ← AX ∗ SRC (* signed multiplication *)
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IF (DX:AX = SignExtend(AX))
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THEN CF = 0; OF = 0;
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ELSE CF = 1; OF = 1;
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FI;
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ELSE (* OperandSize = 32 *)
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EDX:EAX ← EAX ∗ SRC (* signed multiplication *)
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IF (EDX:EAX = SignExtend(EAX))
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THEN CF = 0; OF = 0;
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ELSE CF = 1; OF = 1;
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FI;
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FI;
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*/
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using sIntT = typename std::make_signed<IntT>::type;
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2023-12-05 21:43:55 +00:00
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destination_high = IntT((sIntT(destination_low) * sIntT(source)) >> (8 * sizeof(IntT)));
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2023-11-08 15:52:36 +00:00
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destination_low = IntT(sIntT(destination_low) * sIntT(source));
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const auto sign_extension = (destination_low & Numeric::top_bit<IntT>()) ? IntT(~0) : 0;
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context.flags.template set_from<Flag::Overflow, Flag::Carry>(destination_high != sign_extension);
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}
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template <typename IntT, typename ContextT>
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void div(
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modify_t<IntT> destination_high,
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modify_t<IntT> destination_low,
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read_t<IntT> source,
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ContextT &context
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) {
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/*
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IF SRC = 0
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THEN #DE; (* divide error *)
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FI;
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IF OperandSize = 8 (* word/byte operation *)
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THEN
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temp ← AX / SRC;
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IF temp > FFH
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THEN #DE; (* divide error *) ;
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ELSE
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AL ← temp;
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AH ← AX MOD SRC;
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FI;
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ELSE
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IF OperandSize = 16 (* doubleword/word operation *)
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THEN
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temp ← DX:AX / SRC;
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IF temp > FFFFH
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THEN #DE; (* divide error *) ;
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ELSE
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AX ← temp;
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DX ← DX:AX MOD SRC;
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FI;
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ELSE (* quadword/doubleword operation *)
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temp ← EDX:EAX / SRC;
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IF temp > FFFFFFFFH
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THEN #DE; (* divide error *) ;
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ELSE
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EAX ← temp;
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EDX ← EDX:EAX MOD SRC;
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FI;
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FI;
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FI;
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*/
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/*
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The CF, OF, SF, ZF, AF, and PF flags are undefined.
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*/
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if(!source) {
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interrupt(Interrupt::DivideError, context);
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return;
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}
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// TEMPORARY HACK. Will not work with DWords.
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2023-12-05 21:43:55 +00:00
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const uint32_t dividend = uint32_t((destination_high << (8 * sizeof(IntT))) + destination_low);
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2023-11-08 15:52:36 +00:00
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const auto result = dividend / source;
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if(IntT(result) != result) {
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interrupt(Interrupt::DivideError, context);
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return;
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}
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destination_low = IntT(result);
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destination_high = dividend % source;
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}
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2023-11-09 16:55:04 +00:00
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template <bool invert, typename IntT, typename ContextT>
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2023-11-08 15:52:36 +00:00
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void idiv(
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modify_t<IntT> destination_high,
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modify_t<IntT> destination_low,
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read_t<IntT> source,
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ContextT &context
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) {
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/*
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IF SRC = 0
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THEN #DE; (* divide error *)
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FI;
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IF OperandSize = 8 (* word/byte operation *)
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THEN
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temp ← AX / SRC; (* signed division *)
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IF (temp > 7FH) OR (temp < 80H) (* if a positive result is greater than 7FH or a negative result is less than 80H *)
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THEN #DE; (* divide error *) ;
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ELSE
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AL ← temp;
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AH ← AX MOD SRC;
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FI;
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ELSE
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IF OperandSize = 16 (* doubleword/word operation *)
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THEN
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temp ← DX:AX / SRC; (* signed division *)
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IF (temp > 7FFFH) OR (temp < 8000H) (* if a positive result is greater than 7FFFH or a negative result is less than 8000H *)
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THEN #DE; (* divide error *) ;
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ELSE
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AX ← temp;
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DX ← DX:AX MOD SRC;
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FI;
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ELSE (* quadword/doubleword operation *)
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temp ← EDX:EAX / SRC; (* signed division *)
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IF (temp > 7FFFFFFFH) OR (temp < 80000000H) (* if a positive result is greater than 7FFFFFFFH or a negative result is less than 80000000H *)
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THEN #DE; (* divide error *) ;
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ELSE
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EAX ← temp;
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EDX ← EDX:EAX MOD SRC;
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FI;
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FI;
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FI;
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*/
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/*
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The CF, OF, SF, ZF, AF, and PF flags are undefined.
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*/
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if(!source) {
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interrupt(Interrupt::DivideError, context);
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return;
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}
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// TEMPORARY HACK. Will not work with DWords.
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using sIntT = typename std::make_signed<IntT>::type;
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const int32_t dividend = (sIntT(destination_high) << (8 * sizeof(IntT))) + destination_low;
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2023-11-09 16:55:04 +00:00
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auto result = dividend / sIntT(source);
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// An 8086 quirk: rep IDIV performs an IDIV that switches the sign on its result,
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// due to reuse of an internal flag.
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if constexpr (invert) {
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result = -result;
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}
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2023-11-08 15:52:36 +00:00
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if(sIntT(result) != result) {
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interrupt(Interrupt::DivideError, context);
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return;
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}
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destination_low = IntT(result);
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2023-12-05 21:43:55 +00:00
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destination_high = IntT(dividend % sIntT(source));
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2023-11-08 15:52:36 +00:00
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}
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template <typename IntT, typename ContextT>
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void inc(
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modify_t<IntT> destination,
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ContextT &context
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) {
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/*
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DEST ← DEST + 1;
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*/
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/*
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The CF flag is not affected.
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The OF, SF, ZF, AF, and PF flags are set according to the result.
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*/
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++destination;
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context.flags.template set_from<Flag::Overflow>(destination == Numeric::top_bit<IntT>());
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context.flags.template set_from<Flag::AuxiliaryCarry>(((destination - 1) ^ destination) & 0x10);
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context.flags.template set_from<IntT, Flag::Zero, Flag::Sign, Flag::ParityOdd>(destination);
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}
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template <typename IntT, typename ContextT>
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void dec(
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modify_t<IntT> destination,
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ContextT &context
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) {
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/*
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DEST ← DEST - 1;
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*/
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/*
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|
The CF flag is not affected.
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|
The OF, SF, ZF, AF, and PF flags are set according to the result.
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*/
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context.flags.template set_from<Flag::Overflow>(destination == Numeric::top_bit<IntT>());
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--destination;
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context.flags.template set_from<IntT, Flag::Zero, Flag::Sign, Flag::ParityOdd>(destination);
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context.flags.template set_from<Flag::AuxiliaryCarry>(((destination + 1) ^ destination) & 0x10);
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|
}
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template <typename IntT, typename ContextT>
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|
void neg(
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|
modify_t<IntT> destination,
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|
|
ContextT &context
|
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|
|
) {
|
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|
|
|
/*
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|
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|
|
IF DEST = 0
|
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|
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|
THEN CF ← 0
|
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|
|
ELSE CF ← 1;
|
|
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|
|
FI;
|
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|
|
DEST ← –(DEST)
|
|
|
|
|
*/
|
|
|
|
|
/*
|
|
|
|
|
The CF flag cleared to 0 if the source operand is 0; otherwise it is set to 1.
|
|
|
|
|
The OF, SF, ZF, AF, and PF flags are set according to the result.
|
|
|
|
|
*/
|
|
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|
|
context.flags.template set_from<Flag::AuxiliaryCarry>(Numeric::carried_in<4>(IntT(0), destination, IntT(-destination)));
|
|
|
|
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|
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|
|
destination = -destination;
|
|
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|
|
|
|
|
|
context.flags.template set_from<Flag::Carry>(destination);
|
|
|
|
|
context.flags.template set_from<Flag::Overflow>(destination == Numeric::top_bit<IntT>());
|
|
|
|
|
context.flags.template set_from<IntT, Flag::Zero, Flag::Sign, Flag::ParityOdd>(destination);
|
|
|
|
|
}
|
|
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|
|
|
|
|
|
|
}
|