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// Tests for integer saturating arighmetic (with branch-free procedures on x64).
// Expects signed values in two's complement.
#import "Basic";
#import "Compiler";
#import "Math";
#import "String";
#load "Math_Ext.jai";
main :: () {
write_strings(
"#=======================#\n",
"# Basic tests #\n"
);
test_op :: (operation: string, x: $Tx, y: $Ty, result: $Tr, type: Type, saturated: bool, remainder: Tr = 0) -> errors_found: int #expand {
print_test_call :: (operation: string) -> string {
str: string = ---;
if operation != "div" {
TEST_CALL :: #string DONE
t_result, t_saturated := OP(cast(Tx)x, cast(Ty)y);
if result != t_result print("%_%(%, %) = %0%0\n", operation, type, x, y, result, ifx saturated then " : saturated");
DONE
str = replace(TEST_CALL, "OP", operation);
} else {
TEST_CALL :: #string DONE
t_result, t_remainder, t_saturated := OP(cast(Tx)x, cast(Ty)y);
if result != t_result print("%_%(%, %) = % + %0%0\n", operation, type, x, y, result, remainder, ifx saturated then " : saturated");
DONE
str = replace(TEST_CALL, "OP", operation);
}
return str;
}
#insert #run print_test_call(operation);
errors := 0;
if result != t_result { errors += 1; print(" > incorrect result value: got % expected %\n", t_result, result); };
if type != type_of(t_result) { errors += 1; print(" > incorrect result type: got % expected %\n", type_of(t_result), type); };
if saturated != t_saturated { errors += 1; print(" > incorrect saturated flag: got % expected %\n", t_saturated, saturated); };
#if operation == "div" {
if remainder != t_remainder { errors += 1; print(" > incorrect remainder value: got % expected %\n", t_remainder, remainder); };
}
return errors;
}
errors := 0;
// Test signed add.
errors += test_op("add", cast( s8) S8_MAX, cast( s8)1, S8_MAX, s8, true);
errors += test_op("add", cast(s16)S16_MAX, cast( u8)1, S16_MAX, s16, true);
errors += test_op("add", cast(s32)S32_MAX, cast(s32)1, S32_MAX, s32, true);
errors += test_op("add", cast(s64)S64_MAX, cast(u32)1, S64_MAX, s64, true);
errors += test_op("add", cast( s8) S8_MAX, cast( s8) S8_MIN, -1, s8, false);
errors += test_op("add", cast(s16)S16_MAX, cast(s16)S16_MIN, -1, s16, false);
errors += test_op("add", cast(s32)S32_MAX, cast(s32)S32_MIN, -1, s32, false);
errors += test_op("add", cast(s64)S64_MAX, cast(s64)S64_MIN, -1, s64, false);
// Test unsigned add.
errors += test_op("add", cast( u8) U8_MAX, cast( u8)1, U8_MAX, u8, true);
errors += test_op("add", cast(u16)U16_MAX, cast(u16)1, U16_MAX, u16, true);
errors += test_op("add", cast(u32)U32_MAX, cast(u32)1, U32_MAX, u32, true);
errors += test_op("add", cast(u64)U64_MAX, cast(u64)1, U64_MAX, u64, true);
errors += test_op("add", cast( u8) U8_MAX, cast( u8)0, U8_MAX, u8, false);
errors += test_op("add", cast(u16)U16_MAX, cast(u16)0, U16_MAX, u16, false);
errors += test_op("add", cast(u32)U32_MAX, cast(u32)0, U32_MAX, u32, false);
errors += test_op("add", cast(u64)U64_MAX, cast(u64)0, U64_MAX, u64, false);
// Test signed sub.
errors += test_op("sub", cast( s8) S8_MIN, cast( s8)1, S8_MIN, s8, true);
errors += test_op("sub", cast(s16)S16_MIN, cast( u8)1, S16_MIN, s16, true);
errors += test_op("sub", cast(s32)S32_MIN, cast(s32)1, S32_MIN, s32, true);
errors += test_op("sub", cast(s64)S64_MIN, cast(u32)1, S64_MIN, s64, true);
errors += test_op("sub", cast( s8)-1, cast( s8) S8_MAX, S8_MIN, s8, false);
errors += test_op("sub", cast(s16)-1, cast(s16)S16_MAX, S16_MIN, s16, false);
errors += test_op("sub", cast(s32)-1, cast(s32)S32_MAX, S32_MIN, s32, false);
errors += test_op("sub", cast(s64)-1, cast(s64)S64_MAX, S64_MIN, s64, false);
// Test unsigned sub.
errors += test_op("sub", cast( u8)1, cast( u8) U8_MAX, 0, u8, true);
errors += test_op("sub", cast( u8)1, cast(u16)U16_MAX, 0, u16, true);
errors += test_op("sub", cast(u32)1, cast(u32)U32_MAX, 0, u32, true);
errors += test_op("sub", cast(u32)1, cast(u64)U64_MAX, 0, u64, true);
errors += test_op("sub", cast( u8) U8_MAX, cast( u8)0, U8_MAX, u8, false);
errors += test_op("sub", cast(u16)U16_MAX, cast( u8)0, U16_MAX, u16, false);
errors += test_op("sub", cast(u32)U32_MAX, cast(u32)0, U32_MAX, u32, false);
errors += test_op("sub", cast(u64)U64_MAX, cast(u32)0, U64_MAX, u64, false);
// Test signed mul.
errors += test_op("mul", cast( s8) S8_MIN, cast( s8)-1, S8_MAX, s8, true);
errors += test_op("mul", cast(s16)S16_MIN, cast( s8)-1, S16_MAX, s16, true);
errors += test_op("mul", cast(s32)S32_MIN, cast(s32)-1, S32_MAX, s32, true);
errors += test_op("mul", cast(s64)S64_MIN, cast(s32)-1, S64_MAX, s64, true);
errors += test_op("mul", cast( s8) S8_MAX, cast( s8)-2, S8_MIN, s8, true);
errors += test_op("mul", cast(s16)S16_MAX, cast( s8)-2, S16_MIN, s16, true);
errors += test_op("mul", cast(s32)S32_MAX, cast(s32)-2, S32_MIN, s32, true);
errors += test_op("mul", cast(s64)S64_MAX, cast(s32)-2, S64_MIN, s64, true);
errors += test_op("mul", cast( s8)-2, cast( s8) S8_MAX, S8_MIN, s8, true);
errors += test_op("mul", cast( s8)-2, cast(s16)S16_MAX, S16_MIN, s16, true);
errors += test_op("mul", cast(s32)-2, cast(s32)S32_MAX, S32_MIN, s32, true);
errors += test_op("mul", cast(s32)-2, cast(s64)S64_MAX, S64_MIN, s64, true);
errors += test_op("mul", cast( s8) S8_MAX, cast( s8)2, S8_MAX, s8, true);
errors += test_op("mul", cast(s16)S16_MAX, cast( s8)2, S16_MAX, s16, true);
errors += test_op("mul", cast(s32)S32_MAX, cast(s32)2, S32_MAX, s32, true);
errors += test_op("mul", cast(s64)S64_MAX, cast(s32)2, S64_MAX, s64, true);
errors += test_op("mul", cast( s8) S8_MAX, cast( s8)-1, -S8_MAX, s8, false);
errors += test_op("mul", cast(s16)S16_MAX, cast( s8)-1, -S16_MAX, s16, false);
errors += test_op("mul", cast(s32)S32_MAX, cast(s32)-1, -S32_MAX, s32, false);
errors += test_op("mul", cast(s64)S64_MAX, cast(s32)-1, -S64_MAX, s64, false);
errors += test_op("mul", cast( s8) S8_MAX, cast( s8)0, 0, s8, false);
errors += test_op("mul", cast(s16)S16_MAX, cast( u8)0, 0, s16, false);
errors += test_op("mul", cast(s32)S32_MAX, cast(s32)0, 0, s32, false);
errors += test_op("mul", cast(s64)S64_MAX, cast(u32)0, 0, s64, false);
// Test unsigned mul.
errors += test_op("mul", cast( u8) U8_MAX, cast( u8)1, U8_MAX, u8, false);
errors += test_op("mul", cast(u16)U16_MAX, cast( u8)1, U16_MAX, u16, false);
errors += test_op("mul", cast(u32)U32_MAX, cast(u32)1, U32_MAX, u32, false);
errors += test_op("mul", cast(u64)U64_MAX, cast(u32)1, U64_MAX, u64, false);
errors += test_op("mul", cast( u8) U8_MAX, cast( u8)2, U8_MAX, u8, true);
errors += test_op("mul", cast(u16)U16_MAX, cast( u8)2, U16_MAX, u16, true);
errors += test_op("mul", cast(u32)U32_MAX, cast(u32)2, U32_MAX, u32, true);
errors += test_op("mul", cast(u64)U64_MAX, cast(u32)2, U64_MAX, u64, true);
// Test signed div.
errors += test_op("div", cast( s8) S8_MIN, cast( s8)-1, S8_MAX, s8, true, -1);
errors += test_op("div", cast(s16)S16_MIN, cast( s8)-1, S16_MAX, s16, true, -1);
errors += test_op("div", cast(s32)S32_MIN, cast(s32)-1, S32_MAX, s32, true, -1);
errors += test_op("div", cast(s64)S64_MIN, cast(s32)-1, S64_MAX, s64, true, -1);
errors += test_op("div", cast( s8) S8_MAX, cast( s8)-2, - S8_MAX/2, s8, false, 1);
errors += test_op("div", cast(s16)S16_MAX, cast( s8)-2, -S16_MAX/2, s16, false, 1);
errors += test_op("div", cast(s32)S32_MAX, cast(s32)-2, -S32_MAX/2, s32, false, 1);
errors += test_op("div", cast(s64)S64_MAX, cast(s32)-2, -S64_MAX/2, s64, false, 1);
errors += test_op("div", cast( s8)15, cast( s8)5, 3, s8, false, 0);
errors += test_op("div", cast( u8)15, cast(s16)7, 2, s16, false, 1);
errors += test_op("div", cast(s16)15, cast(s32)13, 1, s32, false, 2);
errors += test_op("div", cast(u16)100, cast(s64)3, 33, s64, false, 1);
// Test unsigned div.
errors += test_op("div", cast( u8) U8_MAX, cast( u8)2, U8_MAX/2, u8, false, 1);
errors += test_op("div", cast(u16)U16_MAX, cast( u8)2, U16_MAX/2, u16, false, 1);
errors += test_op("div", cast(u32)U32_MAX, cast(u32)2, U32_MAX/2, u32, false, 1);
errors += test_op("div", cast(u64)U64_MAX, cast(u32)2, U64_MAX/2, u64, false, 1);
if errors > 0 print("# Found % %!\n", errors, ifx errors == 1 then "error" else "errors"); else print(" No errors found.\n");
write_strings(
"#=======================#\n",
"# Benchmarks #\n"
);
#import "Random";
performance_test :: ($operation: string, $type: Type, print_result: bool = true) -> ops_per_us_gen: float, ops_per_us_asm: float {
#if type == u8 { MIN :: 0; MAX :: U8_MAX; }
#if type == u16 { MIN :: 0; MAX :: U16_MAX; }
#if type == u32 { MIN :: 0; MAX :: U32_MAX; }
#if type == u64 { MIN :: 0; MAX :: U64_MAX; }
#if type == s8 { MIN :: S8_MIN; MAX :: S8_MAX; }
#if type == s16 { MIN :: S16_MIN; MAX :: S16_MAX; }
#if type == s32 { MIN :: S32_MIN; MAX :: S32_MAX; }
#if type == s64 { MIN :: S64_MIN; MAX :: S64_MAX; }
NUM_TESTS :: 50000;
DATA_SIZE_BITS :: 64*1024*8;
#if type == s8 || type == u8 then
DATA_SIZE :: DATA_SIZE_BITS/8;
else #if type == s16 || type == u16 then
DATA_SIZE :: DATA_SIZE_BITS/16;
else #if type == s32 || type == u32 then
DATA_SIZE :: DATA_SIZE_BITS/32;
else #if type == s64 || type == u64 then
DATA_SIZE :: DATA_SIZE_BITS/64;
best_gen := 0.0;
best_asm := 0.0;
numbers_x: [..] type;
numbers_y: [..] type;
array_reserve(*numbers_x, DATA_SIZE);
array_reserve(*numbers_y, DATA_SIZE);
random_seed(cast(u64)to_nanoseconds(current_time_monotonic()));
for 0..DATA_SIZE-1 {
x := cast(type) random_get_within_range(xx MIN, xx MAX);
y := cast(type) random_get_within_range(xx MIN, xx MAX);
if y == 0 && operation == "div" {
y = 1;
}
array_add(*numbers_x, x);
array_add(*numbers_y, y);
}
for 0..NUM_TESTS-1 {
r_gen: type = 0;
r_asm: type = 0;
time_gen := current_time_monotonic();
for idx: 0..DATA_SIZE-1 #insert #run replace("r_gen ^= OP(numbers_x[idx], numbers_y[idx], true);", "OP", operation);
time_gen = current_time_monotonic() - time_gen;
time_asm := current_time_monotonic();
for idx: 0..DATA_SIZE-1 #insert #run replace("r_asm ^= OP(numbers_x[idx], numbers_y[idx]);", "OP", operation);
time_asm = current_time_monotonic() - time_asm;
assert(r_gen == r_asm);
perf_gen := cast(float)DATA_SIZE/cast(float)to_nanoseconds(time_gen);
perf_asm := cast(float)DATA_SIZE/cast(float)to_nanoseconds(time_asm);
best_gen = max(best_gen, perf_gen);
best_asm = max(best_asm, perf_asm);
}
tmp_context := context;
push_context tmp_context {
ff := *context.print_style.default_format_float;
ff.zero_removal = .NO;
ff.width = 7;
ff.trailing_width = 2;
fi := *context.print_style.default_format_int;
fi.minimum_digits = 3;
if print_result {
if type == s8 || type == u8 write_string(" ");
print("% | % | % | %\n", type, best_gen, best_asm, cast(int)(100*best_asm/best_gen));
}
}
return best_gen, best_asm;
}
write_strings(
" | (ops / nsec) |\n",
" T | generic | x64 asm | %\n"
);
write_strings(
"--- | ----------------- | ---\n",
" | add |\n"
);
performance_test("add", u8);
performance_test("add", u16);
performance_test("add", u32);
performance_test("add", u64);
performance_test("add", s8);
performance_test("add", s16);
performance_test("add", s32);
performance_test("add", s64);
write_strings(
"--- | ----------------- | ---\n",
" | sub |\n"
);
performance_test("sub", u8);
performance_test("sub", u16);
performance_test("sub", u32);
performance_test("sub", u64);
performance_test("sub", s8);
performance_test("sub", s16);
performance_test("sub", s32);
performance_test("sub", s64);
write_strings(
"--- | ----------------- | ---\n",
" | mul |\n"
);
performance_test("mul", u8);
performance_test("mul", u16);
performance_test("mul", u32);
performance_test("mul", u64);
performance_test("mul", s8);
performance_test("mul", s16);
performance_test("mul", s32);
performance_test("mul", s64);
write_strings(
"--- | ----------------- | ---\n",
" | div |\n"
);
performance_test("div", u8);
performance_test("div", u16);
performance_test("div", u32);
performance_test("div", u64);
performance_test("div", s8);
performance_test("div", s16);
performance_test("div", s32);
performance_test("div", s64);
}
|
