| /* Copyright (C) 2003, 2004 Free Software Foundation. |
| |
| Verify that built-in math function constant folding of log & exp is |
| correctly performed by the compiler. |
| |
| Written by Kaveh Ghazi, 2003-09-05. */ |
| |
| /* { dg-do link } */ |
| /* { dg-options "-ffast-math" } */ |
| /* { dg-skip-if "PR44214" { *-*-* } { "-O0" } { "" } } */ |
| |
| /* Define "e" with as many bits as found in builtins.c:dconste. */ |
| #define M_E 2.7182818284590452353602874713526624977572470936999595749669676277241 |
| #define M_EF 2.7182818284590452353602874713526624977572470936999595749669676277241F |
| #define M_EL 2.7182818284590452353602874713526624977572470936999595749669676277241L |
| /* Precision for comparison tests. */ |
| #define PREC (sizeof (float) < sizeof (double) ? 0.0000001 : PRECF) |
| #define PRECF 0.0001F |
| #define PRECL (sizeof (float) < sizeof (long double) \ |
| ? 0.0000000000001L : PRECF) |
| #define PROTOTYPE(FN) extern double FN(double); extern float FN##f(float); \ |
| extern long double FN##l(long double); |
| #define PROTOTYPE2(FN) extern double FN(double, double); \ |
| extern float FN##f(float, float); \ |
| extern long double FN##l(long double, long double); |
| |
| PROTOTYPE(exp) |
| PROTOTYPE(exp2) |
| PROTOTYPE(exp10) |
| PROTOTYPE(log) |
| PROTOTYPE(log2) |
| PROTOTYPE(log10) |
| PROTOTYPE(pow10) |
| PROTOTYPE(sqrt) |
| PROTOTYPE(cbrt) |
| PROTOTYPE2(pow) |
| |
| void test(double d1, double d2, float f1, float f2, |
| long double ld1, long double ld2) |
| { |
| /* Test logN(1) -> 0. */ |
| #define LOG_1(LOG) \ |
| extern void link_failure_##LOG##_1(void); \ |
| if (LOG(1.0) != 0.0 || LOG##f(1.0F) != 0.0F || LOG##l(1.0L) != 0.0L) \ |
| link_failure_##LOG##_1() |
| |
| LOG_1(log); |
| LOG_1(log2); |
| LOG_1(log10); |
| |
| /* Test logN(N) -> 1. */ |
| #define LOG_N(LOG, BASE) \ |
| extern void link_failure_##LOG##_N(void); \ |
| if (LOG(BASE) != 1.0 || LOG##f(BASE##F) != 1.0F || LOG##l(BASE##L) != 1.0L) \ |
| link_failure_##LOG##_N() |
| |
| LOG_N(log2, 2.0); |
| LOG_N(log10, 10.0); |
| |
| /* Test logN(expN(x)) -> x. */ |
| #define LOGEXP_SAME(LOG, EXP) \ |
| extern void link_failure_##LOG##_##EXP##_same(void); \ |
| if (LOG(EXP(d1)) != d1 || LOG##f(EXP##f(f1)) != f1 \ |
| || LOG##l(EXP##l(ld1)) != ld1) link_failure_##LOG##_##EXP##_same() |
| |
| LOGEXP_SAME(log,exp); |
| LOGEXP_SAME(log2,exp2); |
| LOGEXP_SAME(log10,exp10); |
| LOGEXP_SAME(log10,pow10); |
| |
| /* Test logN(expM(x)) -> x*logN(M). */ |
| #define LOGEXP(LOG, EXP, BASE) \ |
| extern void link_failure_##LOG##_##EXP(void); \ |
| if (LOG(EXP(d1)) != d1*LOG(BASE) || LOG##f(EXP##f(f1)) != f1*LOG##f(BASE##F) \ |
| || LOG##l(EXP##l(ld1)) != ld1*LOG##l(BASE##L)) link_failure_##LOG##_##EXP() |
| |
| LOGEXP(log,exp2,2.0); |
| LOGEXP(log,exp10,10.0); |
| LOGEXP(log,pow10,10.0); |
| LOGEXP(log2,exp,M_E); |
| LOGEXP(log2,exp2,2.0); |
| LOGEXP(log2,exp10,10.0); |
| LOGEXP(log2,pow10,10.0); |
| LOGEXP(log10,exp,M_E); |
| LOGEXP(log10,exp2,2.0); |
| LOGEXP(log10,exp10,10.0); |
| LOGEXP(log10,pow10,10.0); |
| |
| /* Test logN(sqrt(x)) -> 0.5*logN(x). */ |
| #define LOG_SQRT(LOG) \ |
| extern void link_failure_##LOG##_sqrt(void); \ |
| if (LOG(sqrt(d1)) != 0.5*LOG(d1) || LOG##f(sqrtf(f1)) != 0.5F*LOG##f(f1) \ |
| || LOG##l(sqrtl(ld1)) != 0.5L*LOG##l(ld1)) link_failure_##LOG##_sqrt() |
| |
| LOG_SQRT(log); |
| LOG_SQRT(log2); |
| LOG_SQRT(log10); |
| |
| /* Test sqrt(expN(x)) -> expN(x*0.5). */ |
| #define SQRT_EXP(EXP) \ |
| extern void link_failure_sqrt_##EXP(void); \ |
| if (sqrt(EXP(d1)) != EXP(d1*0.5) || sqrtf(EXP##f(f1)) != EXP##f(f1*0.5F) \ |
| || sqrtl(EXP##l(ld1)) != EXP##l(ld1*0.5L)) link_failure_sqrt_##EXP() |
| |
| SQRT_EXP(exp); |
| SQRT_EXP(exp2); |
| SQRT_EXP(exp10); |
| SQRT_EXP(pow10); |
| |
| /* Test logN(cbrt(x)) -> (1/3)*logN(x). */ |
| #define LOG_CBRT(LOG) \ |
| extern void link_failure_##LOG##_cbrt(void); \ |
| if (LOG(cbrt(d1)) != (1.0/3)*LOG(d1) \ |
| || LOG##f(cbrtf(f1)) != (1.0F/3)*LOG##f(f1) \ |
| || LOG##l(cbrtl(ld1)) != (1.0L/3)*LOG##l(ld1)) link_failure_##LOG##_cbrt() |
| |
| LOG_CBRT(log); |
| LOG_CBRT(log2); |
| LOG_CBRT(log10); |
| |
| /* Test cbrt(expN(x)) -> expN(x/3). */ |
| #define CBRT_EXP(EXP) \ |
| extern void link_failure_cbrt_##EXP(void); \ |
| if (cbrt(EXP(d1)) != EXP(d1/3.0) || cbrtf(EXP##f(f1)) != EXP##f(f1/3.0F) \ |
| || cbrtl(EXP##l(ld1)) != EXP##l(ld1/3.0L)) link_failure_cbrt_##EXP() |
| |
| CBRT_EXP(exp); |
| CBRT_EXP(exp2); |
| CBRT_EXP(exp10); |
| CBRT_EXP(pow10); |
| |
| /* Test logN(pow(x,y)) -> y*logN(x). */ |
| #define LOG_POW(LOG, POW) \ |
| extern void link_failure_##LOG##_##POW(void); \ |
| if (LOG(POW(d1,d2)) != d2*LOG(d1) || LOG##f(POW##f(f1,f2)) != f2*LOG##f(f1) \ |
| || LOG##l(POW##l(ld1,ld2)) != ld2*LOG##l(ld1)) link_failure_##LOG##_##POW() |
| |
| LOG_POW(log,pow); |
| LOG_POW(log2,pow); |
| LOG_POW(log10,pow); |
| |
| /* Test pow(expN(x),y)) -> expN(x*y). */ |
| #define POW_EXP(POW, EXP) \ |
| extern void link_failure_##POW##_##EXP(void); \ |
| if (POW(EXP(d1),d2) != EXP(d1*d2) || POW##f(EXP##f(f1),f2) != EXP##f(f1*f2) \ |
| || POW##l(EXP##l(ld1),ld2) != EXP##l(ld1*ld2)) link_failure_##POW##_##EXP() |
| |
| POW_EXP(pow, exp); |
| POW_EXP(pow, exp2); |
| POW_EXP(pow, exp10); |
| POW_EXP(pow, pow10); |
| |
| /* Test expN(0) -> 1. */ |
| #define EXP_0(EXP) \ |
| extern void link_failure_##EXP##_0(void); \ |
| if (EXP(0.0) != 1.0 || EXP##f(0.0F) != 1.0F || EXP##l(0.0L) != 1.0L) \ |
| link_failure_##EXP##_0() |
| |
| EXP_0(exp); |
| EXP_0(exp2); |
| EXP_0(exp10); |
| EXP_0(pow10); |
| |
| /* Test expN(1) -> N. */ |
| #define EXP_N(EXP, BASE) \ |
| extern void link_failure_##EXP##_N(void); \ |
| if (EXP(1.0) != BASE || EXP##f(1.0F) != BASE##F || EXP##l(1.0L) != BASE##L) \ |
| link_failure_##EXP##_N() |
| |
| EXP_N(exp, M_E); |
| EXP_N(exp2, 2.0); |
| EXP_N(exp10, 10.0); |
| EXP_N(pow10, 10.0); |
| |
| /* Test expN(integer) -> N*N*N*... */ |
| #define EXP_INT(EXP, BASE) \ |
| extern void link_failure_##EXP##_INT(void); \ |
| if (EXP(5.0) < (BASE)*(BASE)*(BASE)*(BASE)*(BASE) - PREC \ |
| || EXP(5.0) > (BASE)*(BASE)*(BASE)*(BASE)*(BASE) + PREC \ |
| || EXP##f(5.0F) < (BASE##F)*(BASE##F)*(BASE##F)*(BASE##F)*(BASE##F) -PRECF \ |
| || EXP##f(5.0F) > (BASE##F)*(BASE##F)*(BASE##F)*(BASE##F)*(BASE##F) +PRECF \ |
| || EXP##l(5.0L) < (BASE##L)*(BASE##L)*(BASE##L)*(BASE##L)*(BASE##L) -PRECL \ |
| || EXP##l(5.0L) > (BASE##L)*(BASE##L)*(BASE##L)*(BASE##L)*(BASE##L) +PRECL) \ |
| link_failure_##EXP##_INT() |
| |
| EXP_INT(exp, M_E); |
| EXP_INT(exp2, 2.0); |
| EXP_INT(exp10, 10.0); |
| EXP_INT(pow10, 10.0); |
| |
| /* Test expN(logN(x)) -> x. */ |
| #define EXPLOG_SAME(EXP, LOG) \ |
| extern void link_failure_##EXP##_##LOG##_same(void); \ |
| if (EXP(LOG(d1)) != d1 || EXP##f(LOG##f(f1)) != f1 \ |
| || EXP##l(LOG##l(ld1)) != ld1) link_failure_##EXP##_##LOG##_same() |
| |
| EXPLOG_SAME(exp, log); |
| EXPLOG_SAME(exp2, log2); |
| EXPLOG_SAME(exp10, log10); |
| EXPLOG_SAME(pow10, log10); |
| |
| /* Test expN(x)*expN(y)) -> expN(x+y). */ |
| #define EXPXEXP(EXP) \ |
| extern void link_failure_##EXP##X##EXP(void); \ |
| if (EXP(d1)*EXP(d2) != EXP(d1+d2) || EXP##f(f1)*EXP##f(f2) != EXP##f(f1+f2) \ |
| || EXP##l(ld1)*EXP##l(ld2) != EXP##l(ld1+ld2)) link_failure_##EXP##X##EXP() |
| |
| EXPXEXP(exp); |
| EXPXEXP(exp2); |
| EXPXEXP(exp10); |
| EXPXEXP(pow10); |
| |
| /* Test x/expN(y) -> x*expN(-y). */ |
| /* Test expN(x)/expN(y) -> expN(x-y). */ |
| #define DIVEXP(EXP) \ |
| extern void link_failure_div1_##EXP(void); \ |
| if (d1/EXP(d2) != d1*EXP(-d2) || f1/EXP##f(f2) != f1*EXP##f(-f2) \ |
| || ld1/EXP##l(ld2) != ld1*EXP##l(-ld2)) link_failure_div1_##EXP(); \ |
| extern void link_failure_div2_##EXP(void); \ |
| if (EXP(d1)/EXP(d2) != EXP(d1-d2) || EXP##f(f1)/EXP##f(f2) != EXP##f(f1-f2) \ |
| || EXP##l(ld1)/EXP##l(ld2) != EXP##l(ld1-ld2)) link_failure_div2_##EXP() |
| |
| DIVEXP(exp); |
| DIVEXP(exp2); |
| DIVEXP(exp10); |
| DIVEXP(pow10); |
| } |
| |
| int main (void) |
| { |
| return 0; |
| } |