big: Add constants.

This commit is contained in:
Jeroen van Rijn
2021-08-11 20:59:52 +02:00
parent 97d80d03f9
commit fc0a92f8ac
3 changed files with 133 additions and 59 deletions
+33 -27
View File
@@ -26,10 +26,15 @@ when _LOW_MEMORY {
_DEFAULT_DIGIT_COUNT :: 32; _DEFAULT_DIGIT_COUNT :: 32;
} }
_MUL_KARATSUBA_CUTOFF :: #config(MUL_KARATSUBA_CUTOFF, _DEFAULT_MUL_KARATSUBA_CUTOFF); /*
_SQR_KARATSUBA_CUTOFF :: #config(SQR_KARATSUBA_CUTOFF, _DEFAULT_SQR_KARATSUBA_CUTOFF); `initialize_constants` returns `#config(MUL_KARATSUBA_CUTOFF, _DEFAULT_MUL_KARATSUBA_CUTOFF)`
_MUL_TOOM_CUTOFF :: #config(MUL_TOOM_CUTOFF, _DEFAULT_MUL_TOOM_CUTOFF); and we initialize this cutoff that way so that the procedure is used and called,
_SQR_TOOM_CUTOFF :: #config(SQR_TOOM_CUTOFF, _DEFAULT_SQR_TOOM_CUTOFF); because it handles initializing the constants ONE, ZERO, MINUS_ONE, NAN and INF.
*/
_MUL_KARATSUBA_CUTOFF := initialize_constants();
_SQR_KARATSUBA_CUTOFF := #config(SQR_KARATSUBA_CUTOFF, _DEFAULT_SQR_KARATSUBA_CUTOFF);
_MUL_TOOM_CUTOFF := #config(MUL_TOOM_CUTOFF, _DEFAULT_MUL_TOOM_CUTOFF);
_SQR_TOOM_CUTOFF := #config(SQR_TOOM_CUTOFF, _DEFAULT_SQR_TOOM_CUTOFF);
/* /*
These defaults were tuned on an AMD A8-6600K (64-bit) using libTomMath's `make tune`. These defaults were tuned on an AMD A8-6600K (64-bit) using libTomMath's `make tune`.
@@ -59,9 +64,10 @@ Sign :: enum u8 {
}; };
Int :: struct { Int :: struct {
used: int, used: int,
digit: [dynamic]DIGIT, digit: [dynamic]DIGIT,
sign: Sign, sign: Sign,
flags: Flags,
}; };
Flag :: enum u8 { Flag :: enum u8 {
@@ -76,35 +82,35 @@ Flags :: bit_set[Flag; u8];
Errors are a strict superset of runtime.Allocation_Error. Errors are a strict superset of runtime.Allocation_Error.
*/ */
Error :: enum int { Error :: enum int {
Out_Of_Memory = 1, Out_Of_Memory = 1,
Invalid_Pointer = 2, Invalid_Pointer = 2,
Invalid_Argument = 3, Invalid_Argument = 3,
Unknown_Error = 4, Assignment_To_Immutable = 4,
Max_Iterations_Reached = 5, Max_Iterations_Reached = 5,
Buffer_Overflow = 6, Buffer_Overflow = 6,
Integer_Overflow = 7, Integer_Overflow = 7,
Division_by_Zero = 8, Division_by_Zero = 8,
Math_Domain_Error = 9, Math_Domain_Error = 9,
Unimplemented = 127, Unimplemented = 127,
}; };
Error_String :: #partial [Error]string{ Error_String :: #partial [Error]string{
.Out_Of_Memory = "Out of memory", .Out_Of_Memory = "Out of memory",
.Invalid_Pointer = "Invalid pointer", .Invalid_Pointer = "Invalid pointer",
.Invalid_Argument = "Invalid argument", .Invalid_Argument = "Invalid argument",
.Unknown_Error = "Unknown error", .Assignment_To_Immutable = "Assignment to immutable",
.Max_Iterations_Reached = "Max iterations reached", .Max_Iterations_Reached = "Max iterations reached",
.Buffer_Overflow = "Buffer overflow", .Buffer_Overflow = "Buffer overflow",
.Integer_Overflow = "Integer overflow", .Integer_Overflow = "Integer overflow",
.Division_by_Zero = "Division by zero", .Division_by_Zero = "Division by zero",
.Math_Domain_Error = "Math domain error", .Math_Domain_Error = "Math domain error",
.Unimplemented = "Unimplemented", .Unimplemented = "Unimplemented",
}; };
Primality_Flag :: enum u8 { Primality_Flag :: enum u8 {
+32 -7
View File
@@ -39,6 +39,7 @@ _SQR_KARATSUBA_CUTOFF,
_MUL_TOOM_CUTOFF, _MUL_TOOM_CUTOFF,
_SQR_TOOM_CUTOFF, _SQR_TOOM_CUTOFF,
); );
} }
print_timings :: proc() { print_timings :: proc() {
@@ -95,16 +96,15 @@ print :: proc(name: string, a: ^Int, base := i8(10), print_name := false, newlin
defer delete(as); defer delete(as);
cb, _ := count_bits(a); cb, _ := count_bits(a);
if print_name { if print_name {
fmt.printf("%v ", name); fmt.printf("%v", name);
}
if print_extra_info {
fmt.printf("(base: %v, bits used: %v): %v", base, cb, as);
} else {
fmt.printf("%v", as);
} }
if err != nil { if err != nil {
fmt.printf("%v (error: %v | %v)", name, err, a); fmt.printf("%v (error: %v | %v)", name, err, a);
} }
fmt.printf("%v", as);
if print_extra_info {
fmt.printf(" (base: %v, bits used: %v, flags: %v)", base, cb, a.flags);
}
if newline { if newline {
fmt.println(); fmt.println();
} }
@@ -118,6 +118,31 @@ demo :: proc() {
a, b, c, d, e, f := &Int{}, &Int{}, &Int{}, &Int{}, &Int{}, &Int{}; a, b, c, d, e, f := &Int{}, &Int{}, &Int{}, &Int{}, &Int{}, &Int{};
defer destroy(a, b, c, d, e, f); defer destroy(a, b, c, d, e, f);
fmt.println();
print(" ONE: ", ONE, 10, true, true, true);
fmt.println();
one(a);
print(" one: ", a, 10, true, true, true);
fmt.println();
minus_one(a);
print("-one: ", a, 10, true, true, true);
fmt.println();
nan(a);
print(" nan: ", a, 10, true, true, true);
fmt.println();
inf(a);
print(" inf: ", a, 10, true, true, true);
fmt.println();
minus_inf(a);
print("-inf: ", a, 10, true, true, true);
fmt.println();
factorial(a, 128); // Untimed warmup. factorial(a, 128); // Untimed warmup.
N :: 128; N :: 128;
@@ -145,8 +170,8 @@ main :: proc() {
mem.tracking_allocator_init(&ta, context.allocator); mem.tracking_allocator_init(&ta, context.allocator);
context.allocator = mem.tracking_allocator(&ta); context.allocator = mem.tracking_allocator(&ta);
// print_configation();
demo(); demo();
print_timings(); print_timings();
if len(ta.allocation_map) > 0 { if len(ta.allocation_map) > 0 {
+68 -25
View File
@@ -56,7 +56,8 @@ set :: proc { int_set_from_integer, int_copy };
/* /*
Copy one `Int` to another. Copy one `Int` to another.
*/ */
int_copy :: proc(dest, src: ^Int, allocator := context.allocator) -> (err: Error) { int_copy :: proc(dest, src: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) {
if err = error_if_immutable(dest); err != nil { return err; }
if err = clear_if_uninitialized(src); err != nil { return err; } if err = clear_if_uninitialized(src); err != nil { return err; }
/* /*
If dest == src, do nothing If dest == src, do nothing
@@ -68,7 +69,7 @@ int_copy :: proc(dest, src: ^Int, allocator := context.allocator) -> (err: Error
Grow `dest` to fit `src`. Grow `dest` to fit `src`.
If `dest` is not yet initialized, it will be using `allocator`. If `dest` is not yet initialized, it will be using `allocator`.
*/ */
if err = grow(dest, src.used, false, allocator); err != nil { if err = grow(dest, src.used, minimize, allocator); err != nil {
return err; return err;
} }
@@ -78,8 +79,10 @@ int_copy :: proc(dest, src: ^Int, allocator := context.allocator) -> (err: Error
for v, i in src.digit[:src.used] { for v, i in src.digit[:src.used] {
dest.digit[i] = v; dest.digit[i] = v;
} }
dest.used = src.used; dest.used = src.used;
dest.sign = src.sign; dest.sign = src.sign;
dest.flags = src.flags &~ {.Immutable};
_zero_unused(dest); _zero_unused(dest);
return nil; return nil;
} }
@@ -120,7 +123,7 @@ int_abs :: proc(dest, src: ^Int, allocator := context.allocator) -> (err: Error)
/* /*
Copy `src` to `dest` Copy `src` to `dest`
*/ */
if err = copy(dest, src, allocator); err != nil { if err = copy(dest, src, false, allocator); err != nil {
return err; return err;
} }
@@ -163,7 +166,7 @@ neg :: proc(dest, src: ^Int, allocator := context.allocator) -> (err: Error) {
/* /*
Copy `src` to `dest` Copy `src` to `dest`
*/ */
if err = copy(dest, src, allocator); err != nil { if err = copy(dest, src, false, allocator); err != nil {
return err; return err;
} }
@@ -337,12 +340,7 @@ zero :: clear;
Set the `Int` to 1 and optionally shrink it to the minimum backing size. Set the `Int` to 1 and optionally shrink it to the minimum backing size.
*/ */
int_one :: proc(a: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) { int_one :: proc(a: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) {
if err = clear(a, minimize, allocator); err != nil { return err; } return copy(a, ONE, minimize, allocator);
a.used = 1;
a.digit[0] = 1;
a.sign = .Zero_or_Positive;
return nil;
} }
one :: proc { int_one, }; one :: proc { int_one, };
@@ -350,17 +348,34 @@ one :: proc { int_one, };
Set the `Int` to -1 and optionally shrink it to the minimum backing size. Set the `Int` to -1 and optionally shrink it to the minimum backing size.
*/ */
int_minus_one :: proc(a: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) { int_minus_one :: proc(a: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) {
if err = clear(a, minimize, allocator); err != nil { return copy(a, MINUS_ONE, minimize, allocator);
return err;
}
a.used = 1;
a.digit[0] = 1;
a.sign = .Negative;
return nil;
} }
minus_one :: proc { int_minus_one, }; minus_one :: proc { int_minus_one, };
/*
Set the `Int` to Inf and optionally shrink it to the minimum backing size.
*/
int_inf :: proc(a: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) {
return copy(a, INF, minimize, allocator);
}
inf :: proc { int_inf, };
/*
Set the `Int` to -Inf and optionally shrink it to the minimum backing size.
*/
int_minus_inf :: proc(a: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) {
return copy(a, MINUS_INF, minimize, allocator);
}
minus_inf :: proc { int_inf, };
/*
Set the `Int` to NaN and optionally shrink it to the minimum backing size.
*/
int_nan :: proc(a: ^Int, minimize := false, allocator := context.allocator) -> (err: Error) {
return copy(a, NAN, minimize, allocator);
}
nan :: proc { int_nan, };
power_of_two :: proc(a: ^Int, power: int) -> (err: Error) { power_of_two :: proc(a: ^Int, power: int) -> (err: Error) {
/* /*
Check that `a` is usable. Check that `a` is usable.
@@ -602,9 +617,21 @@ clear_if_uninitialized_multi :: proc(args: ..^Int) -> (err: Error) {
} }
return err; return err;
} }
clear_if_uninitialized :: proc {clear_if_uninitialized_single, clear_if_uninitialized_multi, }; clear_if_uninitialized :: proc {clear_if_uninitialized_single, clear_if_uninitialized_multi, };
error_if_immutable_single :: proc(arg: ^Int) -> (err: Error) {
if arg != nil && .Immutable in arg.flags { return .Assignment_To_Immutable; }
return nil;
}
error_if_immutable_multi :: proc(args: ..^Int) -> (err: Error) {
for i in args {
if i != nil && .Immutable in i.flags { return .Assignment_To_Immutable; }
}
return nil;
}
error_if_immutable :: proc {error_if_immutable_single, error_if_immutable_multi, };
/* /*
Allocates several `Int`s at once. Allocates several `Int`s at once.
*/ */
@@ -655,7 +682,23 @@ clamp :: proc(a: ^Int) -> (err: Error) {
} }
_STATIC_ZERO := &Int{ /*
used = 0, Initialize constants.
sign = .Zero_or_Positive, */
}; ONE, ZERO, MINUS_ONE, INF, MINUS_INF, NAN := &Int{}, &Int{}, &Int{}, &Int{}, &Int{}, &Int{};
initialize_constants :: proc() -> (res: int) {
set( ZERO, 0); ZERO.flags = {.Immutable};
set( ONE, 1); ONE.flags = {.Immutable};
set(MINUS_ONE, -1); MINUS_ONE.flags = {.Immutable};
set( INF, 0); INF.flags = {.Immutable, .Inf};
set( INF, 0); MINUS_INF.flags = {.Immutable, .Inf}; MINUS_INF.sign = .Negative;
set( NAN, 0); NAN.flags = {.Immutable, .NaN};
return #config(MUL_KARATSUBA_CUTOFF, _DEFAULT_MUL_KARATSUBA_CUTOFF);
}
destroy_constants :: proc() {
destroy(ONE, ZERO, MINUS_ONE, INF, NAN);
}