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|
// Integer saturating arighmetic (with branch-free procedures on x64).
// Expects signed values in two's complement.
#import "Basic";
#import "Compiler";
#import "Math";
is_signed :: ($t: Type) -> bool { return (cast(*Type_Info_Integer)type_info(t)).signed; }
INTEGER_ARITHMETIC_TYPES_CHECK :: #string DONE
type_info_x := cast(*Type_Info)Tx;
type_info_y := cast(*Type_Info)Ty;
if type_info_x.type != .INTEGER || type_info_y.type != .INTEGER return false, "Non integers values passed.";
tx := cast(*Type_Info_Integer)type_info_x;
ty := cast(*Type_Info_Integer)type_info_y;
largest_type :=
ifx tx.runtime_size > ty.runtime_size then Tx else
ifx ty.runtime_size > tx.runtime_size then Ty else
ifx tx.signed == ty.signed then Tx else
void;
// Only allow to add different signedness values if largest type is the signed one (as in JAI).
if tx.signed == ty.signed {
Tx = largest_type;
Ty = largest_type;
Tr = largest_type;
}
else if tx.signed && Tx == largest_type {
Ty = largest_type;
Tr = largest_type;
}
else if ty.signed && Ty == largest_type {
Tx = largest_type;
Tr = largest_type;
}
else return false, "Number signedness mismatch.";
return true;
DONE
add :: (x: $Tx, y: $Ty, $USE_GENERIC: bool = false) -> result: $Tr, saturated: bool #modify { #insert INTEGER_ARITHMETIC_TYPES_CHECK; } // #dump
{
#if USE_GENERIC || CPU != .X64 {
// #if #run is_signed(Tr) { // TODO Maybe use this?
#if Tr == s8 || Tr == s16 || Tr == s32 || Tr == s64 {
#if Tr == s8 { MAX :: S8_MAX; MIN :: S8_MIN; }
#if Tr == s16 { MAX :: S16_MAX; MIN :: S16_MIN; }
#if Tr == s32 { MAX :: S32_MAX; MIN :: S32_MIN; }
#if Tr == s64 { MAX :: S64_MAX; MIN :: S64_MIN; }
if (y > 0 && x > MAX - y) then return MAX, true;
if (y < 0 && x < MIN - y) then return MIN, true;
} else {
#if Tr == u8 { MAX :: U8_MAX; }
#if Tr == u16 { MAX :: U16_MAX; }
#if Tr == u32 { MAX :: U32_MAX; }
#if Tr == u64 { MAX :: U64_MAX; }
if (x > MAX - y) then return MAX, true;
}
return x + y, false;
} else {
#import "String";
result: Tr = ---;
saturated: bool = ---;
S_ADD_ASM :: #string DONE
#asm {
// Performance
// s8 | s16 | s32 | s64
// 1.243 | 1.242 | 1.215 | 1.210
//
mov result, -1; // Pre-set result with signed maximum: set all ones.
shr.SIZE result, 1; // Pre-set result with signed maximum: insert zero on MSB.
bt x, SHIFT; // Test signal bit (affect CF).
adc result, 0; // Overflow signed maximum to signed minimum if CF is set.
add.SIZE x, y; // Add values (affect OF).
seto saturated; // Set saturated flat if OF.
cmovno result, x; // Move add-result to result if NOT OF.
// Performance - a bit of improvement... with some more code.
// s8 | s16 | s32 | s64
// 1.336 | 1.305 | 1.217 | 1.210
//
// mov sign: gpr, x; // Copy x value to sign variable.
// mov limit: gpr, MAX; // Pre-set limit with signed maximum.
// shr.SIZE sign, SHIFT; // Get sign of x value.
// add.SIZE limit, sign; // If sign is 1, overflow from signed maximum to signed minimum.
//
// mov result, x; // Copy x value to result.
// add.SIZE result, y; // Add values (affect OF).
// seto saturated; // Set saturated flag if OF.
// cmovo result, limit; // Move limit to result if OF.
}
DONE
#if Tr == s8
#insert #run replace(replace(S_ADD_ASM, ".SIZE", ".b"), "SHIFT", "7"); // , "MAX", "127")
#if Tr == s16
#insert #run replace(replace(S_ADD_ASM, ".SIZE", ".w"), "SHIFT", "15"); // , "MAX", "32767")
#if Tr == s32
#insert #run replace(replace(S_ADD_ASM, ".SIZE", ".d"), "SHIFT", "31"); // , "MAX", "2147483647")
#if Tr == s64
#insert #run replace(replace(S_ADD_ASM, ".SIZE", ".q"), "SHIFT", "63"); // , "MAX", "9223372036854775807")
U_ADD_ASM :: #string DONE
#asm {
mov result, -1; // Pre-set result with unsigned maximum.
add.SIZE x, y; // Add values (affect CF).
setc saturated; // Set saturated flag if CF.
cmovnc result, x; // Move add-result to result if NOT CF.
}
DONE
#if Tr == u8
#insert #run replace(U_ADD_ASM, ".SIZE", ".b");
#if Tr == u16
#insert #run replace(U_ADD_ASM, ".SIZE", ".w");
#if Tr == u32
#insert #run replace(U_ADD_ASM, ".SIZE", ".d");
#if Tr == u64
#insert #run replace(U_ADD_ASM, ".SIZE", ".q");
return result, saturated;
}
}
sub :: (x: $Tx, y: $Ty, $USE_GENERIC: bool = false) -> result: $Tr, overflow: bool #modify { #insert INTEGER_ARITHMETIC_TYPES_CHECK; } // #dump
{
#if USE_GENERIC || CPU != .X64 {
#if Tr == s8 || Tr == s16 || Tr == s32 || Tr == s64 {
#if Tr == s8 { MAX :: S8_MAX; MIN :: S8_MIN; }
#if Tr == s16 { MAX :: S16_MAX; MIN :: S16_MIN; }
#if Tr == s32 { MAX :: S32_MAX; MIN :: S32_MIN; }
#if Tr == s64 { MAX :: S64_MAX; MIN :: S64_MIN; }
if (y < 0 && x > MAX + y) then return MAX, true;
if (y > 0 && x < MIN + y) then return MIN, true;
} else {
if (y > x) then return 0, true;
}
return x - y, false;
} else {
#import "String";
result: Tr = ---;
saturated: bool = ---;
S_SUB_ASM :: #string DONE
#asm {
// Calculate limit based on x's sign.
mov limit: gpr, MAX;
mov sign: gpr, x;
shr.SIZE sign, BITS;
add.SIZE limit, sign; // If sign is 1, then limit will overflow from MAX to MIN.
mov result, x;
sub.SIZE result, y;
seto saturated;
cmovo result, limit;
}
DONE
#if Tr == s8
#insert #run replace(replace(replace(S_SUB_ASM, ".SIZE", ".b"), "MAX", "127"), "BITS", "7");
#if Tr == s16
#insert #run replace(replace(replace(S_SUB_ASM, ".SIZE", ".w"), "MAX", "32767"), "BITS", "15");
#if Tr == s32
#insert #run replace(replace(replace(S_SUB_ASM, ".SIZE", ".d"), "MAX", "2147483647"), "BITS", "31");
#if Tr == s64
#insert #run replace(replace(replace(S_SUB_ASM, ".SIZE", ".q"), "MAX", "9223372036854775807"), "BITS", "63");
U_SUB_ASM :: #string DONE
#asm {
mov limit: gpr, 0;
mov result, x;
sub.SIZE result, y;
setc saturated;
cmovc result, limit;
}
DONE
#if Tr == u8
#insert #run replace(U_SUB_ASM, ".SIZE", ".b");
#if Tr == u16
#insert #run replace(U_SUB_ASM, ".SIZE", ".w");
#if Tr == u32
#insert #run replace(U_SUB_ASM, ".SIZE", ".d");
#if Tr == u64
#insert #run replace(U_SUB_ASM, ".SIZE", ".q");
return result, saturated;
}
}
mul :: (x: $Tx, y: $Ty, $USE_GENERIC: bool = false) -> result: $Tr, overflow: bool #modify { #insert INTEGER_ARITHMETIC_TYPES_CHECK; } // #dump
{
#if USE_GENERIC || CPU != .X64 {
// #if #run is_signed(Tr) { // TODO Maybe use this?
#if Tr == s8 || Tr == s16 || Tr == s32 || Tr == s64 {
#if Tr == s8 { MAX :: S8_MAX; MIN :: S8_MIN; }
#if Tr == s16 { MAX :: S16_MAX; MIN :: S16_MIN; }
#if Tr == s32 { MAX :: S32_MAX; MIN :: S32_MIN; }
#if Tr == s64 { MAX :: S64_MAX; MIN :: S64_MIN; }
if x == 0 || y == 0 then return 0, false;
if x > 0 && y > 0 && x > MAX / y then return MAX, true;
if x < 0 && y < 0 && x < MAX / y then return MAX, true;
if (y < 0 && x > 0 && y < MIN / x) || (x < 0 && y > 0 && x < MIN / y) then return MIN, true;
} else {
#if Tr == u8 { MAX :: U8_MAX; }
#if Tr == u16 { MAX :: U16_MAX; }
#if Tr == u32 { MAX :: U32_MAX; }
#if Tr == u64 { MAX :: U64_MAX; }
if x == 0 || y == 0 then return 0, false;
if x > MAX / y then return MAX, true;
}
return x * y, false;
} else {
#import "String";
result: Tr = ---;
saturated: bool = ---;
S_MUL_ASM :: #string DONE
#asm {
result === a; // TODO Try changing to non-aregister to see if we're using the single-argument version of imul.
// Calculate limit based on (x^y)'s sign.
mov limit: gpr, MAX;
mov sign: gpr, x;
xor sign, y;
shr.SIZE sign, BITS;
add.SIZE limit, sign; // If sign is 1, then limit will overflow from MAX to MIN.
mov result, x;
imul.SIZE result, y;
seto saturated;
cmovo result, limit;
}
DONE
#if Tr == s8
#insert #run replace(replace(replace(S_MUL_ASM, ".SIZE", ".b"), "MAX", "127"), "BITS", "7");
#if Tr == s16
#insert #run replace(replace(replace(S_MUL_ASM, ".SIZE", ".w"), "MAX", "32767"), "BITS", "15");
#if Tr == s32
#insert #run replace(replace(replace(S_MUL_ASM, ".SIZE", ".d"), "MAX", "2147483647"), "BITS", "31");
#if Tr == s64
#insert #run replace(replace(replace(S_MUL_ASM, ".SIZE", ".q"), "MAX", "9223372036854775807"), "BITS", "63");
U_MUL_ASM :: #string DONE
#asm {
result === a;
mov result, x;
mul.SIZE r_d:, result, y; // TODO Try to use same as below (remove r_d)
setc saturated;
sbb limit:, limit; // If CF: limit = -1 (all bits set); otherwise: limit = 0.
or result, limit;
}
DONE
U_MUL_ASM_8BITS :: #string DONE
#asm {
result === a;
mov result, x;
mul.SIZE result, y;
setc saturated;
sbb limit:, limit; // If CF: limit = -1 (all bits set); otherwise: limit = 0.
or result, limit;
}
DONE
#if Tr == u8
#insert #run replace(U_MUL_ASM_8BITS, ".SIZE", ".b");
#if Tr == u16
#insert #run replace(U_MUL_ASM, ".SIZE", ".w");
#if Tr == u32
#insert #run replace(U_MUL_ASM, ".SIZE", ".d");
#if Tr == u64
#insert #run replace(U_MUL_ASM, ".SIZE", ".q");
return result, saturated;
}
}
div :: (x: $Tx, y: $Ty, $USE_GENERIC: bool = false) -> result: $Tr, remainder: Tr, saturated: bool #modify { #insert INTEGER_ARITHMETIC_TYPES_CHECK; } //#dump
{
#if USE_GENERIC || CPU != .X64 {
// #if #run is_signed(Tr) { // TODO Maybe use this?
#if Tr == s8 || Tr == s16 || Tr == s32 || Tr == s64 {
#if Tr == s8 { MAX :: S8_MAX; MIN :: S8_MIN; }
#if Tr == s16 { MAX :: S16_MAX; MIN :: S16_MIN; }
#if Tr == s32 { MAX :: S32_MAX; MIN :: S32_MIN; }
#if Tr == s64 { MAX :: S64_MAX; MIN :: S64_MIN; }
if x == MIN && y == -1 then return MAX, -1, true;
}
result := x / y;
remainder := x - (y * result);
return result, remainder, false;
} else {
#import "String";
result: Tr = ---;
remainder: Tr = ---;
saturated: bool = ---;
S_DIV_ASM :: #string DONE
#asm {
result === a;
remainder === d;
// Detect div(MIN/-1) and flag it on ZF.
mov xT: gpr, MIN; // TODO Rename xT to x_test
mov xV: gpr, x; // TODO Rename xV to x_val
xor.SIZE xT, xV;
mov yT: gpr, y;
xor.SIZE yT, -1;
or.SIZE xT, yT;
mov limit: gpr, LIMIT;
mov result, x;
cmovz result, limit; // If ZF: limit dividend to MIN-1.
mov.SIZE saturated, 0; // Clear register up to the size used on last operation "sub.SIZE""
setz saturated;
SIGN_EXT remainder, result; // Prepare dividend high bits.
idiv.SIZE remainder, result, y;
// If saturated: remainder = 0 - 1; otherwise: remainder = x - 0.
sub.SIZE remainder, saturated;
}
DONE
S_DIV_ASM_8BITS :: #string DONE
#asm {
result === a;
remainder === d;
// Detect div(MIN/-1) and flag it on ZF.
mov t_x: gpr, x;
mov t_y: gpr, y;
xor.SIZE t_x, MIN;
xor.SIZE t_y, -1;
or.SIZE t_x, t_y;
mov limit: gpr, LIMIT;
mov result, x;
cmovz result, limit; // If ZF: limit dividend to MIN-1.
cbw result; // Sign-extension.
setz saturated;
idiv.SIZE result, y;
// Extract remainder from result's high bits.
mov remainder, result;
sar remainder, 8;
// If saturated: remainder = 0 - 1; otherwise: remainder = x - 0.
sub.SIZE remainder, saturated;
}
DONE
#if Tr == s8
#insert #run replace(replace(replace(S_DIV_ASM_8BITS, ".SIZE", ".b"), "MIN", "-128"), "LIMIT", "-127");
#if Tr == s16
#insert #run replace(replace(replace(replace(S_DIV_ASM, ".SIZE", ".w"), "MIN", "-32768"), "LIMIT", "-32767"), "SIGN_EXT", "cwd");
#if Tr == s32
#insert #run replace(replace(replace(replace(S_DIV_ASM, ".SIZE", ".d"), "MIN", "-2147483648"), "LIMIT", "-2147483647"), "SIGN_EXT", "cdq");
#if Tr == s64
#insert #run replace(replace(replace(replace(S_DIV_ASM, ".SIZE", ".q"), "MIN", "-9223372036854775808"), "LIMIT", "-9223372036854775807"), "SIGN_EXT", "cqo");
U_DIV_ASM :: #string DONE
#asm {
result === a;
remainder === d;
mov saturated, 0;
mov result, x;
mov remainder, 0; // Prepare dividend high bits.
div.SIZE remainder, result, y;
}
DONE
U_DIV_ASM_8BITS :: #string DONE
#asm {
result === a;
remainder === d;
mov saturated, 0;
movzxbw result, x; // Move zero-extended byte to word.
div.SIZE result, y;
// Extract remainder from result's high bits.
mov remainder, result;
sar remainder, 8;
}
DONE
#if Tr == u8
#insert #run replace(U_DIV_ASM_8BITS, ".SIZE", ".b");
#if Tr == u16
#insert #run replace(U_DIV_ASM, ".SIZE", ".w");
#if Tr == u32
#insert #run replace(U_DIV_ASM, ".SIZE", ".d");
#if Tr == u64
#insert #run replace(U_DIV_ASM, ".SIZE", ".q");
return result, remainder, saturated;
}
}
|
