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Why does clang require -lm unlike gcc?

I've run into weird issue where I need to pass -lm to clang in order for it to compile the code:

gcc test.c -o test       #works
clang test.c -o test     #doesn't work
clang -lm test.c -o test #works


#include <stdio.h>
#include <complex.h>

int main() {
    double complex z = 1.0 + 3.0 * I;
    double complex conjugate = conj(z);
    printf("The conjugate of Z is = %.2f %+.2fi\n", creal(conjugate), cimag(conjugate));
    return 0;
}

Specifically, there is linker error:

/tmp/test-561678.o: In function `main':
test.c:(.text+0x4a): undefined reference to `conj'
clang: error: linker command failed with exit code 1 (use -v to see invocation)

One important thing I noticed is that in this case gcc is able to outperform clang easily, because gcc inlines function calls whereas clang doesn't:

clang:

$ nm -g test
0000000000601048 B __bss_start
                 U conj@@GLIBC_2.2.5
...

gcc:

$ nm -g test
0000000000601038 B __bss_start
...

I use kubuntu 16.04. Clang 3.8 version, and 5.4.0 gcc version.

Is there a way to make clang inline calls to these functions ?

GCC provides numerous built-in functions :

6.59 Other Built-in Functions Provided by GCC

GCC provides a large number of built-in functions other than the ones mentioned above. Some of these are for internal use in the processing of exceptions or variable-length argument lists and are not documented here because they may change from time to time; we do not recommend general use of these functions.

The remaining functions are provided for optimization purposes.

...

The ISO C99 functions _Exit, acoshf, acoshl, acosh, asinhf, asinhl, asinh, atanhf, atanhl, atanh, cabsf, cabsl, cabs, cacosf, cacoshf, cacoshl, cacosh, cacosl, cacos, cargf, cargl, carg, casinf, casinhf, casinhl, casinh, casinl, casin, catanf, catanhf, catanhl, catanh, catanl, catan, cbrtf, cbrtl, cbrt, ccosf, ccoshf, ccoshl, ccosh, ccosl, ccos, cexpf, cexpl, cexp, cimagf, cimagl, cimag, clogf, clogl, clog, conjf, conjl, conj, copysignf, copysignl, copysign, cpowf, cpowl, cpow, cprojf, cprojl, cproj, crealf, creall, creal, csinf, csinhf, csinhl, csinh, csinl, csin, csqrtf, csqrtl, csqrt, ctanf, ctanhf, ctanhl, ctanh, ctanl, ctan, erfcf, erfcl, erfc, erff, erfl, erf, exp2f, exp2l, exp2, expm1f, expm1l, expm1, fdimf, fdiml, fdim, fmaf, fmal, fmaxf, fmaxl, fmax, fma, fminf, fminl, fmin, hypotf, hypotl, hypot, ilogbf, ilogbl, ilogb, imaxabs, isblank, iswblank, lgammaf, lgammal, lgamma, llabs, llrintf, llrintl, llrint, llroundf, llroundl, llround, log1pf, log1pl, log1p, log2f, log2l, log2, logbf, logbl, logb, lrintf, lrintl, lrint, lroundf, lroundl, lround, nearbyintf, nearbyintl, nearbyint, nextafterf, nextafterl, nextafter, nexttowardf, nexttowardl, nexttoward, remainderf, remainderl, remainder, remquof, remquol, remquo, rintf, rintl, rint, roundf, roundl, round, scalblnf, scalblnl, scalbln, scalbnf, scalbnl, scalbn, snprintf, tgammaf, tgammal, tgamma, truncf, truncl, trunc, vfscanf, vscanf, vsnprintf and vsscanf are handled as built-in functions except in strict ISO C90 mode (-ansi or -std=c90).

...

Since GCC provides conj() as a built-in function, you don't need to link in libm.so (or libm.a ) with the -lm option when compiling with GCC

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