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|
//
// test suite for bits and bits math functions
//
module bits
fn test_bits() {
mut i := 0
mut i1 := u64(0)
//
// --- LeadingZeros ---
//
// 8 bit
i = 1
for x in 0 .. 8 {
// C.printf("x:%02x lz: %d cmp: %d\n", i << x, leading_zeros_8(i << x), 7-x)
assert leading_zeros_8(byte(i << x)) == 7 - x
}
// 16 bit
i = 1
for x in 0 .. 16 {
// C.printf("x:%04x lz: %d cmp: %d\n", u16(i) << x, leading_zeros_16(u16(i) << x), 15-x)
assert leading_zeros_16(u16(i) << x) == 15 - x
}
// 32 bit
i = 1
for x in 0 .. 32 {
// C.printf("x:%08x lz: %d cmp: %d\n", u32(i) << x, leading_zeros_32(u32(i) << x), 31-x)
assert leading_zeros_32(u32(i) << x) == 31 - x
}
// 64 bit
i = 1
for x in 0 .. 64 {
// C.printf("x:%016llx lz: %llu cmp: %d\n", u64(i) << x, leading_zeros_64(u64(i) << x), 63-x)
assert leading_zeros_64(u64(i) << x) == 63 - x
}
//
// --- ones_count ---
//
// 8 bit
i = 0
for x in 0 .. 9 {
// C.printf("x:%02x lz: %llu cmp: %d\n", byte(i), ones_count_8(byte(i)), x)
assert ones_count_8(byte(i)) == x
i = (i << 1) + 1
}
// 16 bit
i = 0
for x in 0 .. 17 {
// C.printf("x:%04x lz: %llu cmp: %d\n", u16(i), ones_count_16(u16(i)), x)
assert ones_count_16(u16(i)) == x
i = (i << 1) + 1
}
// 32 bit
i = 0
for x in 0 .. 33 {
// C.printf("x:%08x lz: %llu cmp: %d\n", u32(i), ones_count_32(u32(i)), x)
assert ones_count_32(u32(i)) == x
i = (i << 1) + 1
}
// 64 bit
i1 = 0
for x in 0 .. 65 {
// C.printf("x:%016llx lz: %llu cmp: %d\n", u64(i1), ones_count_64(u64(i1)), x)
assert ones_count_64(i1) == x
i1 = (i1 << 1) + 1
}
//
// --- rotate_left/right ---
//
assert rotate_left_8(0x12, 4) == 0x21
assert rotate_left_16(0x1234, 8) == 0x3412
assert rotate_left_32(0x12345678, 16) == 0x56781234
assert rotate_left_64(0x1234567887654321, 32) == 0x8765432112345678
//
// --- reverse ---
//
// 8 bit
i = 0
for _ in 0 .. 9 {
mut rv := byte(0)
mut bc := 0
mut n := i
for bc < 8 {
rv = (rv << 1) | (byte(n) & 0x01)
bc++
n = n >> 1
}
// C.printf("x:%02x lz: %llu cmp: %d\n", byte(i), reverse_8(byte(i)), rv)
assert reverse_8(byte(i)) == rv
i = (i << 1) + 1
}
// 16 bit
i = 0
for _ in 0 .. 17 {
mut rv := u16(0)
mut bc := 0
mut n := i
for bc < 16 {
rv = (rv << 1) | (u16(n) & 0x01)
bc++
n = n >> 1
}
// C.printf("x:%04x lz: %llu cmp: %d\n", u16(i), reverse_16(u16(i)), rv)
assert reverse_16(u16(i)) == rv
i = (i << 1) + 1
}
// 32 bit
i = 0
for _ in 0 .. 33 {
mut rv := u32(0)
mut bc := 0
mut n := i
for bc < 32 {
rv = (rv << 1) | (u32(n) & 0x01)
bc++
n = n >> 1
}
// C.printf("x:%08x lz: %llu cmp: %d\n", u32(i), reverse_32(u32(i)), rv)
assert reverse_32(u32(i)) == rv
i = (i << 1) + 1
}
// 64 bit
i1 = 0
for _ in 0 .. 64 {
mut rv := u64(0)
mut bc := 0
mut n := i1
for bc < 64 {
rv = (rv << 1) | (n & 0x01)
bc++
n = n >> 1
}
// C.printf("x:%016llx lz: %016llx cmp: %016llx\n", u64(i1), reverse_64(u64(i1)), rv)
assert reverse_64(i1) == rv
i1 = (i1 << 1) + 1
}
//
// --- add ---
//
// 32 bit
i = 1
for x in 0 .. 32 {
v := u32(i) << x
sum, carry := add_32(v, v, u32(0))
// C.printf("x:%08x [%llu,%llu] %llu\n", u32(i) << x, sum, carry, u64(v) + u64(v))
assert ((u64(carry) << 32) | u64(sum)) == u64(v) + u64(v)
}
mut sum_32t, mut carry_32t := add_32(0x8000_0000, 0x8000_0000, u32(0))
assert sum_32t == u32(0)
assert carry_32t == u32(1)
sum_32t, carry_32t = add_32(0xFFFF_FFFF, 0xFFFF_FFFF, u32(1))
assert sum_32t == 0xFFFF_FFFF
assert carry_32t == u32(1)
// 64 bit
i = 1
for x in 0 .. 63 {
v := u64(i) << x
sum, carry := add_64(v, v, u64(0))
// C.printf("x:%16x [%llu,%llu] %llu\n", u64(i) << x, sum, carry, u64(v >> 32) + u64(v >> 32))
assert ((carry << 32) | sum) == v + v
}
mut sum_64t, mut carry_64t := add_64(0x8000_0000_0000_0000, 0x8000_0000_0000_0000,
u64(0))
assert sum_64t == u64(0)
assert carry_64t == u64(1)
sum_64t, carry_64t = add_64(0xFFFF_FFFF_FFFF_FFFF, 0xFFFF_FFFF_FFFF_FFFF, u64(1))
assert sum_64t == 0xFFFF_FFFF_FFFF_FFFF
assert carry_64t == u64(1)
//
// --- sub ---
//
// 32 bit
i = 1
for x in 1 .. 32 {
v0 := u32(i) << x
v1 := v0 >> 1
mut diff, mut borrow_out := sub_32(v0, v1, u32(0))
// C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v0 - v1)
assert diff == v1
diff, borrow_out = sub_32(v0, v1, u32(1))
// C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v0 - v1)
assert diff == (v1 - 1)
assert borrow_out == u32(0)
diff, borrow_out = sub_32(v1, v0, u32(1))
// C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v1 - v0)
assert borrow_out == u32(1)
}
// 64 bit
i = 1
for x in 1 .. 64 {
v0 := u64(i) << x
v1 := v0 >> 1
mut diff, mut borrow_out := sub_64(v0, v1, u64(0))
// C.printf("x:%08x [%llu,%llu] %08x\n", u64(i) << x, diff, borrow_out, v0 - v1)
assert diff == v1
diff, borrow_out = sub_64(v0, v1, u64(1))
// C.printf("x:%08x [%llu,%llu] %08x\n", u64(i) << x, diff, borrow_out, v0 - v1)
assert diff == (v1 - 1)
assert borrow_out == u64(0)
diff, borrow_out = sub_64(v1, v0, u64(1))
// C.printf("x:%08x [%llu,%llu] %08x\n",u64(i) << x, diff, borrow_out, v1 - v0)
assert borrow_out == u64(1)
}
//
// --- mul ---
//
// 32 bit
i = 1
for x in 0 .. 32 {
v0 := u32(i) << x
v1 := v0 - 1
hi, lo := mul_32(v0, v1)
assert (u64(hi) << 32) | (u64(lo)) == u64(v0) * u64(v1)
}
// 64 bit
i = 1
for x in 0 .. 64 {
v0 := u64(i) << x
v1 := v0 - 1
hi, lo := mul_64(v0, v1)
// C.printf("v0: %llu v1: %llu [%llu,%llu] tt: %llu\n", v0, v1, hi, lo, (v0 >> 32) * (v1 >> 32))
assert (hi & 0xFFFF_FFFF_0000_0000) == (((v0 >> 32) * (v1 >> 32)) & 0xFFFF_FFFF_0000_0000)
assert (lo & 0x0000_0000_FFFF_FFFF) == (((v0 & 0x0000_0000_FFFF_FFFF) * (v1 & 0x0000_0000_FFFF_FFFF)) & 0x0000_0000_FFFF_FFFF)
}
//
// --- div ---
//
// 32 bit
i = 1
for x in 0 .. 31 {
hi := u32(i) << x
lo := hi - 1
y := u32(3) << x
quo, rem := div_32(hi, lo, y)
// C.printf("[%08x_%08x] %08x (%08x,%08x)\n", hi, lo, y, quo, rem)
tst := ((u64(hi) << 32) | u64(lo))
assert quo == (tst / u64(y))
assert rem == (tst % u64(y))
assert rem == rem_32(hi, lo, y)
}
// 64 bit
i = 1
for x in 0 .. 62 {
hi := u64(i) << x
lo := u64(2) // hi - 1
y := u64(0x4000_0000_0000_0000)
quo, rem := div_64(hi, lo, y)
// C.printf("[%016llx_%016llx] %016llx (%016llx,%016llx)\n", hi, lo, y, quo, rem)
assert quo == u64(2) << (x + 1)
_, rem1 := div_64(hi % y, lo, y)
assert rem == rem1
assert rem == rem_64(hi, lo, y)
}
}
|
