Added saturating math functions

This commit is contained in:
Nils O. Selåsdal
2013-05-17 03:16:28 +02:00
parent d58779848a
commit 92da4bbd28
3 changed files with 589 additions and 0 deletions
+78
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@@ -0,0 +1,78 @@
#include <stdint.h>
/** Implementation of saturated operation on uintaa_t.
* Opaerations are clamped betweehn 0 and UINTaa_MAa instead of
* wrapping around*/
#define UC_SAT_ADD(a, b, type, max_val)\
((type)((a) + (b)) >= (a) ? (a) + (b) : (max_val))
#define UC_SAT_SUB(a, b)\
(a >= b ? (a) - (b) : 0)
#define UC_SAT_MULT(a, b, type, max_val)\
((b) == 0 ? 0 :\
(a) <= (max_val) / (b) ? (type) (a) * (type) (b) \
: (max_val))
static inline uint8_t uc_sat_addu8(uint8_t a, uint8_t b)
{
return UC_SAT_ADD(a, b, uint8_t, UINT8_MAX);
}
static inline uint8_t uc_sat_subu8(uint8_t a, uint8_t b)
{
return UC_SAT_SUB(a, b);
}
static inline uint8_t uc_sat_multu8(uint8_t a, uint8_t b)
{
return UC_SAT_MULT(a, b, uint8_t, UINT8_MAX);
}
static inline uint16_t uc_sat_addu16(uint16_t a, uint16_t b)
{
return UC_SAT_ADD(a, b, uint16_t, UINT16_MAX);
}
static inline uint16_t uc_sat_subu16(uint16_t a, uint16_t b)
{
return UC_SAT_SUB(a, b);
}
static inline uint16_t uc_sat_multu16(uint16_t a, uint16_t b)
{
return UC_SAT_MULT(a, b, uint16_t, UINT16_MAX);
}
static inline uint32_t uc_sat_addu32(uint32_t a, uint32_t b)
{
return UC_SAT_ADD(a, b, uint32_t, UINT32_MAX);
}
static inline uint32_t uc_sat_subu32(uint32_t a, uint32_t b)
{
return UC_SAT_SUB(a, b);
}
static inline uint32_t uc_sat_multu32(uint32_t a, uint32_t b)
{
return UC_SAT_MULT(a, b, uint32_t, UINT32_MAX);
}
static inline uint64_t uc_sat_addu64(uint64_t a, uint64_t b)
{
return UC_SAT_ADD(a, b, uint64_t, UINT64_MAX);
}
static inline uint64_t uc_sat_subu64(uint64_t a, uint64_t b)
{
return UC_SAT_SUB(a, b);
}
static inline uint64_t uc_sat_multu64(uint64_t a, uint64_t b)
{
return UC_SAT_MULT(a, b, uint64_t, UINT64_MAX);
}
+2
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@@ -17,6 +17,7 @@ extern Suite *threadqueue_suite(void);
extern Suite *buffer_suite(void);
extern Suite *clock_suite(void);
extern Suite *seq_suite(void);
extern Suite *sat_math_suite(void);
static suite_func suites[] = {
bitvec_suite,
@@ -30,6 +31,7 @@ static suite_func suites[] = {
buffer_suite,
clock_suite,
seq_suite,
sat_math_suite
};
int
+509
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@@ -0,0 +1,509 @@
#include <check.h>
#include <ucore/saturating_math.h>
START_TEST (test_sat_uc_addu8)
uint8_t a;
uint8_t b;
a = UINT8_MAX;
b = 1;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX);
a = 1;
b = UINT8_MAX;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX);
a = UINT8_MAX;
b = UINT8_MAX;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX);
a = UINT8_MAX - 2;
b = 2;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX);
a = 2;
b = UINT8_MAX - 2;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX);
a = UINT8_MAX - 3;
b = 2;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX - 1);
a = 2;
b = UINT8_MAX - 3;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX - 1);
a = 0;
b = UINT8_MAX;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX);
a = UINT8_MAX;
b = 0;
fail_if(uc_sat_addu8(a,b) != UINT8_MAX);
a = 0;
b = 0;
fail_if(uc_sat_addu8(a,b) != 0);
a = 100;
b = 100;
fail_if(uc_sat_addu8(a,b) != 200);
END_TEST
START_TEST (test_sat_uc_subu8)
uint8_t a;
uint8_t b;
a = UINT8_MAX;
b = 0;
fail_if(uc_sat_subu8(a,b) != UINT8_MAX);
a = 0;
b = UINT8_MAX;
fail_if(uc_sat_subu8(a,b) != 0);
a = UINT8_MAX;
b = UINT8_MAX;
fail_if(uc_sat_subu8(a,b) != 0);
a = 0;
b = 1;
fail_if(uc_sat_subu8(a,b) != 0);
a = 1;
b = UINT8_MAX - 1;
fail_if(uc_sat_subu8(a,b) != 0);
a = UINT8_MAX;
b = 100;
fail_if(uc_sat_subu8(a,b) != UINT8_MAX - 100);
a = 100;
b = 100;
fail_if(uc_sat_subu8(a,b) != 0);
END_TEST
START_TEST (test_sat_uc_multu8)
uint8_t a;
uint8_t b;
a = UINT8_MAX;
b = 0;
fail_if(uc_sat_multu8(a,b) != 0);
a = 0;
b = UINT8_MAX;
fail_if(uc_sat_multu8(a,b) != 0);
a = UINT8_MAX;
b = UINT8_MAX;
fail_if(uc_sat_multu8(a,b) != UINT8_MAX);
a = UINT8_MAX;
b = 2;
fail_if(uc_sat_multu8(a,b) != UINT8_MAX);
a = 2;
b = UINT8_MAX;
fail_if(uc_sat_multu8(a,b) != UINT8_MAX);
a = UINT8_MAX;
b = UINT8_MAX/2 - 1;
fail_if(uc_sat_multu8(a,b) != UINT8_MAX);
a = UINT8_MAX/2 - 1;
b = UINT8_MAX;
fail_if(uc_sat_multu8(a,b) != UINT8_MAX);
a = 10;
b = 10;
fail_if(uc_sat_multu8(a,b) != 100);
END_TEST
START_TEST (test_sat_uc_addu16)
uint16_t a;
uint16_t b;
a = UINT16_MAX;
b = 1;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX);
a = 1;
b = UINT16_MAX;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX);
a = UINT16_MAX;
b = UINT16_MAX;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX);
a = UINT16_MAX - 2;
b = 2;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX);
a = 2;
b = UINT16_MAX - 2;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX);
a = UINT16_MAX - 3;
b = 2;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX - 1);
a = 2;
b = UINT16_MAX - 3;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX - 1);
a = 0;
b = UINT16_MAX;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX);
a = UINT16_MAX;
b = 0;
fail_if(uc_sat_addu16(a,b) != UINT16_MAX);
a = 0;
b = 0;
fail_if(uc_sat_addu16(a,b) != 0);
a = 100;
b = 100;
fail_if(uc_sat_addu16(a,b) != 200);
END_TEST
START_TEST (test_sat_uc_subu16)
uint16_t a;
uint16_t b;
a = UINT16_MAX;
b = 0;
fail_if(uc_sat_subu16(a,b) != UINT16_MAX);
a = 0;
b = UINT16_MAX;
fail_if(uc_sat_subu16(a,b) != 0);
a = UINT16_MAX;
b = UINT16_MAX;
fail_if(uc_sat_subu16(a,b) != 0);
a = 0;
b = 1;
fail_if(uc_sat_subu16(a,b) != 0);
a = 1;
b = UINT16_MAX - 1;
fail_if(uc_sat_subu16(a,b) != 0);
a = UINT16_MAX;
b = 100;
fail_if(uc_sat_subu16(a,b) != UINT16_MAX - 100);
a = 100;
b = 100;
fail_if(uc_sat_subu16(a,b) != 0);
END_TEST
START_TEST (test_sat_uc_multu16)
uint16_t a;
uint16_t b;
a = UINT16_MAX;
b = 0;
fail_if(uc_sat_multu16(a,b) != 0);
a = 0;
b = UINT16_MAX;
fail_if(uc_sat_multu16(a,b) != 0);
a = UINT16_MAX;
b = UINT16_MAX;
fail_if(uc_sat_multu16(a,b) != UINT16_MAX);
a = UINT16_MAX;
b = 2;
fail_if(uc_sat_multu16(a,b) != UINT16_MAX);
a = 2;
b = UINT16_MAX;
fail_if(uc_sat_multu16(a,b) != UINT16_MAX);
a = UINT16_MAX;
b = UINT16_MAX/2 - 1;
fail_if(uc_sat_multu16(a,b) != UINT16_MAX);
a = UINT16_MAX/2 - 1;
b = UINT16_MAX;
fail_if(uc_sat_multu16(a,b) != UINT16_MAX);
a = 10;
b = 10;
fail_if(uc_sat_multu16(a,b) != 100);
END_TEST
START_TEST (test_sat_uc_addu32)
uint32_t a;
uint32_t b;
a = UINT32_MAX;
b = 1;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX);
a = 1;
b = UINT32_MAX;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX);
a = UINT32_MAX;
b = UINT32_MAX;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX);
a = UINT32_MAX - 2;
b = 2;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX);
a = 2;
b = UINT32_MAX - 2;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX);
a = UINT32_MAX - 3;
b = 2;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX - 1);
a = 2;
b = UINT32_MAX - 3;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX - 1);
a = 0;
b = UINT32_MAX;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX);
a = UINT32_MAX;
b = 0;
fail_if(uc_sat_addu32(a,b) != UINT32_MAX);
a = 0;
b = 0;
fail_if(uc_sat_addu32(a,b) != 0);
a = 0x1fffffff;
b = 0x80000000;
fail_if(uc_sat_addu32(a,b) != 0x9fffffff);
END_TEST
START_TEST (test_sat_uc_subu32)
uint32_t a;
uint32_t b;
a = UINT32_MAX;
b = 0;
fail_if(uc_sat_subu32(a,b) != UINT32_MAX);
a = 0;
b = UINT32_MAX;
fail_if(uc_sat_subu32(a,b) != 0);
a = UINT32_MAX;
b = UINT32_MAX;
fail_if(uc_sat_subu32(a,b) != 0);
a = 0;
b = 1;
fail_if(uc_sat_subu32(a,b) != 0);
a = 1;
b = UINT32_MAX - 1;
fail_if(uc_sat_subu32(a,b) != 0);
a = UINT32_MAX;
b = 100;
fail_if(uc_sat_subu32(a,b) != UINT32_MAX - 100);
a = 100;
b = 100;
fail_if(uc_sat_subu32(a,b) != 0);
END_TEST
START_TEST (test_sat_uc_multu32)
uint32_t a;
uint32_t b;
a = UINT32_MAX;
b = 0;
fail_if(uc_sat_multu32(a,b) != 0);
a = 0;
b = UINT32_MAX;
fail_if(uc_sat_multu32(a,b) != 0);
a = UINT32_MAX;
b = UINT32_MAX;
fail_if(uc_sat_multu32(a,b) != UINT32_MAX);
a = UINT32_MAX;
b = 2;
fail_if(uc_sat_multu32(a,b) != UINT32_MAX);
a = 2;
b = UINT32_MAX;
fail_if(uc_sat_multu32(a,b) != UINT32_MAX);
a = UINT32_MAX;
b = UINT32_MAX/2 - 1;
fail_if(uc_sat_multu32(a,b) != UINT32_MAX);
a = UINT32_MAX/2 - 1;
b = UINT32_MAX;
fail_if(uc_sat_multu32(a,b) != UINT32_MAX);
a = 10;
b = 10;
fail_if(uc_sat_multu32(a,b) != 100);
END_TEST
START_TEST (test_sat_uc_addu64)
uint64_t a;
uint64_t b;
a = UINT64_MAX;
b = 1;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX);
a = 1;
b = UINT64_MAX;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX);
a = UINT64_MAX;
b = UINT64_MAX;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX);
a = UINT64_MAX - 2;
b = 2;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX);
a = 2;
b = UINT64_MAX - 2;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX);
a = UINT64_MAX - 3;
b = 2;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX - 1);
a = 2;
b = UINT64_MAX - 3;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX - 1);
a = 0;
b = UINT64_MAX;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX);
a = UINT64_MAX;
b = 0;
fail_if(uc_sat_addu64(a,b) != UINT64_MAX);
a = 0;
b = 0;
fail_if(uc_sat_addu64(a,b) != 0);
a = 0x1fffffffffffffffULL;
b = 0x8000000000000000ULL;
fail_if(uc_sat_addu64(a,b) != 0x9fffffffffffffffULL);
END_TEST
START_TEST (test_sat_uc_subu64)
uint64_t a;
uint64_t b;
a = UINT64_MAX;
b = 0;
fail_if(uc_sat_subu64(a,b) != UINT64_MAX);
a = 0;
b = UINT64_MAX;
fail_if(uc_sat_subu64(a,b) != 0);
a = UINT64_MAX;
b = UINT64_MAX;
fail_if(uc_sat_subu64(a,b) != 0);
a = 0;
b = 1;
fail_if(uc_sat_subu64(a,b) != 0);
a = 1;
b = UINT64_MAX - 1;
fail_if(uc_sat_subu64(a,b) != 0);
a = UINT64_MAX;
b = 100;
fail_if(uc_sat_subu64(a,b) != UINT64_MAX - 100);
a = 100;
b = 100;
fail_if(uc_sat_subu64(a,b) != 0);
END_TEST
START_TEST (test_sat_uc_multu64)
uint64_t a;
uint64_t b;
a = UINT64_MAX;
b = 0;
fail_if(uc_sat_multu64(a,b) != 0);
a = 0;
b = UINT64_MAX;
fail_if(uc_sat_multu64(a,b) != 0);
a = UINT64_MAX;
b = UINT64_MAX;
fail_if(uc_sat_multu64(a,b) != UINT64_MAX);
a = UINT64_MAX;
b = 2;
fail_if(uc_sat_multu64(a,b) != UINT64_MAX);
a = 2;
b = UINT64_MAX;
fail_if(uc_sat_multu64(a,b) != UINT64_MAX);
a = UINT64_MAX;
b = UINT64_MAX/2 - 1;
fail_if(uc_sat_multu64(a,b) != UINT64_MAX);
a = UINT64_MAX/2 - 1;
b = UINT64_MAX;
fail_if(uc_sat_multu64(a,b) != UINT64_MAX);
a = 10;
b = 10;
fail_if(uc_sat_multu64(a,b) != 100);
END_TEST
Suite *sat_math_suite(void)
{
Suite *s = suite_create("saturating_math");
TCase *tc = tcase_create("saturating_math tests");
tcase_add_test(tc, test_sat_uc_addu8);
tcase_add_test(tc, test_sat_uc_subu8);
tcase_add_test(tc, test_sat_uc_multu8);
tcase_add_test(tc, test_sat_uc_addu16);
tcase_add_test(tc, test_sat_uc_subu16);
tcase_add_test(tc, test_sat_uc_multu16);
tcase_add_test(tc, test_sat_uc_addu32);
tcase_add_test(tc, test_sat_uc_subu32);
tcase_add_test(tc, test_sat_uc_multu32);
tcase_add_test(tc, test_sat_uc_addu64);
tcase_add_test(tc, test_sat_uc_subu64);
tcase_add_test(tc, test_sat_uc_multu64);
suite_add_tcase(s, tc);
return s;
}