// // 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(u8(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", u8(i), ones_count_8(u8(i)), x) assert ones_count_8(u8(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 := u8(0) mut bc := 0 mut n := i for bc < 8 { rv = (rv << 1) | (u8(n) & 0x01) bc++ n = n >> 1 } // C.printf("x:%02x lz: %llu cmp: %d\n", u8(i), reverse_8(u8(i)), rv) assert reverse_8(u8(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) } } fn test_div_64_edge_cases() { qq, rr := div_64(10, 12, 11) assert qq == 16769767339735956015 assert rr == 7 q, r := div_64(0, 23, 10000000000000000000) assert q == 0 assert r == 23 }