/****************************************************** * gfp_element tests * * * * (C) 2007 Patrick Sona * * * * Falko Strenzke * * strenzke@flexsecure.de * * (C) 2008 Jack Lloyd * ******************************************************/ #include "validate.h" #include #include #if defined(BOTAN_HAS_BIGINT_GFP) #include #include #include #include #include using namespace Botan; using namespace std; #define BOOST_CHECK_MESSAGE(expr, print) if(!(expr)) std::cout << print << "\n"; #define BOOST_CHECK(expr) if(!(expr)) std::cout << #expr << "\n"; namespace { void test_turn_on_sp_red_mul() { cout << "." << flush; GFpElement a1(23,15); GFpElement b1(23,18); GFpElement c1 = a1*b1; GFpElement a2(23,15); GFpElement b2(23,18); a2.turn_on_sp_red_mul(); a2.turn_on_sp_red_mul(); b2.turn_on_sp_red_mul(); b2.turn_on_sp_red_mul(); GFpElement c2 = a2*b2; if(c1 == c2) std::cout << "test_turn_on_sp_red_mul - c1 == c2\n"; //BOOST_CHECK_MESSAGE(c1 == c2, "error with multiple call to turn on spec red mul, should be " << c1 <<"\n, was " << c2); } void test_bi_div_even() { cout << "." << flush; string str_large("1552518092300708935148979488462502555256886017116696611139052038026050952686323255099158638440248181850494907312621195144895406865083132424709500362534691373159016049946612882688577088900506460909202178541447303914546699487373976586"); BigInt to_div(str_large); BigInt half = to_div/2; BigInt should_be_to_div = half*2; BOOST_CHECK_MESSAGE(should_be_to_div == to_div, "error in division/multiplication of large BigInt"); // also testing /=... BigInt before_div = to_div; to_div /= 2; BigInt should_be_before(to_div*2); BOOST_CHECK_MESSAGE(should_be_before == before_div, "error in division/multiplication of large BigInt"); } void test_bi_div_odd() { cout << "." << flush; string str_large("1552518092300708935148979488462502555256886017116696611139052038026050952686323255099158638440248181850494907312621195144895406865083132424709500362534691373159016049946612882688577088900506460909202178541447303914546699487373976585"); BigInt to_div(str_large); BigInt half = to_div/2; BigInt should_be_to_div = half*2; BigInt diff = should_be_to_div-to_div; BOOST_CHECK_MESSAGE((diff <= 1) && (diff >= BigInt("-1")), "error in division/multiplication (/) of large BigInt, differnce = " << diff); // also testing /=... BigInt before_div = to_div; to_div /= 2; BigInt should_be_before(to_div*2); BigInt diff2(should_be_before - before_div); BOOST_CHECK_MESSAGE((diff2 <= 1) && (diff2 >= BigInt("-1")), "error in division/multiplication (/=) of large BigInt, difference = " << diff2); } void test_deep_montgm() { cout << "." << flush; //string s_prime = "5334243285367"; string s_prime = "5"; BigInt bi_prime(s_prime); //string s_value_a = "3333333333334"; string s_value_a = "4"; BigInt bi_value_a(s_value_a); //string s_value_b = "4444444444444"; string s_value_b = "3"; BigInt bi_value_b(s_value_b); GFpElement gfp_a_trf(bi_prime, bi_value_a, true); GFpElement gfp_a_ntrf(bi_prime, bi_value_a, false); GFpElement gfp_b_trf(bi_prime, bi_value_b, true); GFpElement gfp_b_ntrf(bi_prime, bi_value_b, false); //BOOST_CHECK(!gfp_b_trf.is_trf_to_mres()); gfp_b_trf.get_mres(); gfp_a_trf.get_mres(); GFpElement c_trf(gfp_a_trf * gfp_b_trf); GFpElement c_ntrf(gfp_a_ntrf * gfp_b_ntrf); BOOST_CHECK_MESSAGE(c_trf.get_value() == c_ntrf.get_value(), "\nc_trf.value = " << c_trf.get_value() << "\nc_ntrf.value = " << c_ntrf.get_value()); } void test_gfp_div_small_numbers() { cout << "." << flush; string s_prime = "5"; BigInt bi_prime(s_prime); string s_value_a = "2"; BigInt bi_value_a(s_value_a); string s_value_b = "3"; BigInt bi_value_b(s_value_b); GFpElement gfp_a(bi_prime, bi_value_a, true); GFpElement gfp_b(bi_prime, bi_value_b, true); GFpElement gfp_c(bi_prime, bi_value_b, false); BOOST_CHECK(!gfp_a.is_trf_to_mres()); //convert to montgomery gfp_b.get_mres(); BOOST_CHECK(gfp_b.is_trf_to_mres()); BOOST_CHECK(!gfp_c.is_trf_to_mres()); GFpElement res_div_m = gfp_a / gfp_b; BOOST_CHECK(res_div_m.is_trf_to_mres()); GFpElement res_div_n = gfp_a / gfp_c; BOOST_CHECK(!res_div_n.is_trf_to_mres()); BOOST_CHECK_MESSAGE(res_div_n.get_value() == res_div_m.get_value(), "transformed result is not equal to untransformed result"); BOOST_CHECK_MESSAGE(gfp_a.get_value() == s_value_a, "GFpElement has changed while division operation"); BOOST_CHECK_MESSAGE(gfp_b.get_value() == s_value_b, "GFpElement has changed while division operation"); GFpElement inverse_b = inverse(gfp_b); GFpElement res_div_alternative = gfp_a * inverse_b; BOOST_CHECK_MESSAGE(res_div_m == res_div_alternative, "a/b is not as equal to a * b^-1"); //cout << "Div-result transformed:" << res_div_m.get_value() << endl; //cout << "Div-result untransformed:" << res_div_n.get_value() << endl; //cout << "Div-Alternative: " << res_div_alternative.get_value() << endl; } void test_gfp_basics() { cout << "." << flush; string s_prime = "5334243285367"; BigInt bi_prime(s_prime); string s_value_a = "3333333333333"; BigInt bi_value_a(s_value_a); GFpElement gfp_a(bi_prime, bi_value_a, true); BOOST_CHECK(gfp_a.get_p() == s_prime); BOOST_CHECK(gfp_a.get_value() == s_value_a); BOOST_CHECK(!gfp_a.is_trf_to_mres()); gfp_a.get_mres(); BOOST_CHECK(gfp_a.is_trf_to_mres()); } void test_gfp_addSubNegate() { cout << "." << flush; string s_prime = "5334243285367"; BigInt bi_prime(s_prime); string s_value_a = "3333333333333"; BigInt bi_value_a(s_value_a); GFpElement gfp_a(bi_prime, bi_value_a, true); GFpElement gfp_b(bi_prime, bi_value_a, true); gfp_b.negate(); GFpElement zero = gfp_a + gfp_b; BigInt bi_zero("0"); BOOST_CHECK(zero.get_value() == bi_zero); BOOST_CHECK(gfp_a.get_value() == bi_value_a); } void test_gfp_mult() { cout << "." << flush; string s_prime = "5334243285367"; BigInt bi_prime(s_prime); string s_value_a = "3333333333333"; BigInt bi_value_a(s_value_a); string s_value_b = "4444444444444"; BigInt bi_value_b(s_value_b); GFpElement gfp_a(bi_prime, bi_value_a, true); GFpElement gfp_b(bi_prime, bi_value_b, true); GFpElement gfp_c(bi_prime, bi_value_b, false); BOOST_CHECK(!gfp_a.is_trf_to_mres()); //convert to montgomery gfp_b.get_mres(); BOOST_CHECK(gfp_b.is_trf_to_mres()); BOOST_CHECK(!gfp_c.is_trf_to_mres()); GFpElement res_mult_m = gfp_a * gfp_b; BOOST_CHECK(res_mult_m.is_trf_to_mres()); GFpElement res_mult_n = gfp_a * gfp_c; BOOST_CHECK(!res_mult_n.is_trf_to_mres()); BOOST_CHECK(res_mult_n.get_value() == res_mult_m.get_value()); } void test_gfp_div() { cout << "." << flush; string s_prime = "5334243285367"; BigInt bi_prime(s_prime); string s_value_a = "3333333333333"; BigInt bi_value_a(s_value_a); string s_value_b = "4444444444444"; BigInt bi_value_b(s_value_b); GFpElement gfp_a(bi_prime, bi_value_a, true); GFpElement gfp_b(bi_prime, bi_value_b, true); GFpElement gfp_c(bi_prime, bi_value_b, false); BOOST_CHECK(!gfp_a.is_trf_to_mres()); //convert to montgomery gfp_b.get_mres(); BOOST_CHECK(gfp_b.is_trf_to_mres()); BOOST_CHECK(!gfp_c.is_trf_to_mres()); GFpElement res_div_m = gfp_a / gfp_b; BOOST_CHECK(res_div_m.is_trf_to_mres()); GFpElement res_div_n = gfp_a / gfp_c; BOOST_CHECK(!res_div_n.is_trf_to_mres()); BOOST_CHECK_MESSAGE(res_div_n.get_value() == res_div_m.get_value(), "transformed result is not equal to untransformed result"); BOOST_CHECK_MESSAGE(gfp_a.get_value() == s_value_a, "GFpElement has changed while division operation"); BOOST_CHECK_MESSAGE(gfp_b.get_value() == s_value_b, "GFpElement has changed while division operation"); GFpElement inverse_b = inverse(gfp_b); GFpElement res_div_alternative = gfp_a * inverse_b; BOOST_CHECK_MESSAGE(res_div_m == res_div_alternative, "a/b is not as equal to a * b^-1"); //cout << "Div-result transformed:" << res_div_m.get_value() << endl; //cout << "Div-result untransformed:" << res_div_n.get_value() << endl; //cout << "Div-Alternative: " << res_div_alternative.get_value() << endl; } void test_gfp_add() { cout << "." << flush; string s_prime = "5334243285367"; BigInt bi_prime(s_prime); string s_value_a = "3333333333333"; BigInt bi_value_a(s_value_a); string s_value_b = "4444444444444"; BigInt bi_value_b(s_value_b); GFpElement gfp_a(bi_prime, bi_value_a, true); GFpElement gfp_b(bi_prime, bi_value_b, true); GFpElement gfp_c(bi_prime, bi_value_b, true); BOOST_CHECK(!gfp_a.is_trf_to_mres()); //convert to montgomery gfp_b.get_mres(); BOOST_CHECK(gfp_b.is_trf_to_mres()); BOOST_CHECK(!gfp_c.is_trf_to_mres()); GFpElement res_add_m = gfp_a + gfp_b; BOOST_CHECK(res_add_m.is_trf_to_mres()); GFpElement res_add_n = gfp_a + gfp_c; // commented out by patrick, behavior is clear: // rhs might be transformed, lhs never // for now, this behavior is only intern, doesn't matter for programm function // BOOST_CHECK_MESSAGE(res_add_n.is_trf_to_mres(), "!! Falko: NO FAIL, wrong test, please repair"); // clear: rhs might be transformed, lhs never BOOST_CHECK(res_add_n.get_value() == res_add_m.get_value()); } void test_gfp_sub() { cout << "." << flush; string s_prime = "5334243285367"; BigInt bi_prime(s_prime); string s_value_a = "3333333333333"; BigInt bi_value_a(s_value_a); string s_value_b = "4444444444444"; BigInt bi_value_b(s_value_b); GFpElement gfp_a(bi_prime, bi_value_a, true); GFpElement gfp_b(bi_prime, bi_value_b, true); GFpElement gfp_c(bi_prime, bi_value_b, true); BOOST_CHECK(!gfp_a.is_trf_to_mres()); //convert to montgomery gfp_b.get_mres(); BOOST_CHECK(gfp_b.is_trf_to_mres()); BOOST_CHECK(!gfp_c.is_trf_to_mres()); GFpElement res_sub_m = gfp_b - gfp_a; BOOST_CHECK(res_sub_m.is_trf_to_mres()); BOOST_CHECK(gfp_a.is_trf_to_mres()); // added by Falko GFpElement res_sub_n = gfp_c - gfp_a; // commented out by psona, behavior is clear: // rhs might be transformed, lhs never // for now, this behavior is only intern, doesn't matter for programm function // BOOST_CHECK_MESSAGE(!res_sub_n.is_trf_to_mres(), "!! Falko: NO FAIL, wrong test, please repair"); // falsche // Erwartung: a wurde durch die operation oben auch // ins m-residue transformiert, daher passiert das hier auch mit // c, und das Ergebnis ist es auch BOOST_CHECK(res_sub_n.get_value() == res_sub_m.get_value()); } void test_more_gfp_div() { cout << "." << flush; string s_prime = "5334243285367"; BigInt bi_prime(s_prime); string s_value_a = "3333333333333"; BigInt bi_value_a(s_value_a); string s_value_b = "4444444444444"; BigInt bi_value_b(s_value_b); GFpElement gfp_a(bi_prime, bi_value_a, true); GFpElement gfp_b_trf(bi_prime, bi_value_b, true); GFpElement gfp_b_ntrf(bi_prime, bi_value_b, false); BOOST_CHECK(!gfp_b_trf.is_trf_to_mres()); gfp_b_trf.get_mres(); BOOST_CHECK(gfp_b_trf.is_trf_to_mres()); BOOST_CHECK(!gfp_a.is_trf_to_mres()); bool exc_ntrf = false; try { gfp_b_ntrf.get_mres(); } catch(Botan::Illegal_Transformation e) { exc_ntrf = true; } BOOST_CHECK(exc_ntrf); BOOST_CHECK(!gfp_b_ntrf.is_trf_to_mres()); BOOST_CHECK_MESSAGE(gfp_b_trf == gfp_b_ntrf, "b is not equal to itself (trf)"); GFpElement b_trf_inv(gfp_b_trf); b_trf_inv.inverse_in_place(); GFpElement b_ntrf_inv(gfp_b_ntrf); b_ntrf_inv.inverse_in_place(); BOOST_CHECK_MESSAGE(b_trf_inv == b_ntrf_inv, "b inverted is not equal to itself (trf)"); BOOST_CHECK(gfp_b_trf/gfp_b_ntrf == GFpElement(bi_prime, 1)); BOOST_CHECK(gfp_b_trf/gfp_b_trf == GFpElement(bi_prime, 1)); BOOST_CHECK(gfp_b_ntrf/gfp_b_ntrf == GFpElement(bi_prime, 1)); GFpElement rhs(gfp_a/gfp_b_trf); GFpElement lhs(gfp_a/gfp_b_ntrf); BOOST_CHECK_MESSAGE(lhs == rhs, "\nrhs(trf) = " << rhs.get_value() << "\nlhs(n_trf) = " << lhs.get_value()); } void test_gfp_mult_u32bit() { cout << "." << flush; /* Botan::EC_Domain_Params parA(Botan::get_EC_Dom_Pars_by_oid("1.2.840.10045.3.1.1")); CurveGFp curve = parA.get_curve(); //CurveGFp curve2 = parA.get_curve(); BigInt p = curve.get_p(); GFpElement a = curve.get_a(); GFpElement a_mr = curve.get_mres_a(); Botan::u32bit u_x = 134234; BigInt b_x(u_x); GFpElement g_x(p, b_x); BOOST_CHECK(a*u_x == a*g_x); BOOST_CHECK(a*u_x == u_x*a); BOOST_CHECK(a*g_x == g_x*a); BOOST_CHECK(a_mr*u_x == a*g_x); BOOST_CHECK(u_x*a_mr == a*g_x); */ } /** * This tests verifies the functionality of sharing pointers for modulus dependent values */ void test_gfp_shared_vals() { cout << "." << flush; BigInt p("5334243285367"); GFpElement a(p, BigInt("234090")); GFpElement shcpy_a(1,0); shcpy_a.share_assign(a); std::tr1::shared_ptr ptr1 = a.get_ptr_mod(); std::tr1::shared_ptr ptr2 = shcpy_a.get_ptr_mod(); BOOST_CHECK_MESSAGE(ptr1.get() == ptr2.get(), "shared pointers for moduli aren´t equal"); GFpElement b(1,0); b = a; // create a non shared copy std::tr1::shared_ptr ptr_b_p = b.get_ptr_mod(); BOOST_CHECK_MESSAGE(ptr1.get() != ptr_b_p.get(), "non shared pointers for moduli are equal"); a.turn_on_sp_red_mul(); GFpElement c1 = a * shcpy_a; GFpElement c2 = a * a; GFpElement c3 = shcpy_a * shcpy_a; GFpElement c4 = shcpy_a * a; shcpy_a.turn_on_sp_red_mul(); GFpElement c5 = shcpy_a * shcpy_a; BOOST_CHECK(c1 == c2); BOOST_CHECK(c2 == c3); BOOST_CHECK(c3 == c4); BOOST_CHECK(c4 == c5); swap(a,shcpy_a); std::tr1::shared_ptr ptr3 = a.get_ptr_mod(); std::tr1::shared_ptr ptr4 = shcpy_a.get_ptr_mod(); BOOST_CHECK_MESSAGE(ptr3.get() == ptr4.get(), "shared pointers for moduli aren´t equal after swap"); BOOST_CHECK(ptr1.get() == ptr4.get()); BOOST_CHECK(ptr2.get() == ptr3.get()); swap(a,b); std::tr1::shared_ptr ptr_a = a.get_ptr_mod(); std::tr1::shared_ptr ptr_b = shcpy_a.get_ptr_mod(); BOOST_CHECK(ptr_a.get() == ptr_b_p.get()); BOOST_CHECK(ptr_b.get() == ptr3.get()); } /** * The following test checks the behaviour of GFpElements assignment operator, which * has quite complex behaviour with respect to sharing groups and precomputed values * (with respect to montgomery mult.) */ void test_gfpel_ass_op() { cout << "." << flush; // test different moduli GFpElement a(23,4); GFpElement b(11,6); GFpElement b2(11,6); a = b; BOOST_CHECK(a==b2); BOOST_CHECK(a.get_value() == b2.get_value()); BOOST_CHECK(a.get_p() == b2.get_p()); BOOST_CHECK(a.get_ptr_mod().get() != b.get_ptr_mod().get()); // sharing groups // may not be fused! // also test some share_assign()... a.share_assign(b); BOOST_CHECK(a==b2); BOOST_CHECK(a.get_value() == b2.get_value()); BOOST_CHECK(a.get_p() == b2.get_p()); BOOST_CHECK(a.get_ptr_mod().get() == b.get_ptr_mod().get()); // sharing groups // shall be fused! //--------------------------- // test assignment within sharing group // with montg.mult. GFpElement c(5,2); GFpElement d(5,2); d.share_assign(c); BOOST_CHECK(d.get_ptr_mod().get() == c.get_ptr_mod().get()); BOOST_CHECK(d.get_ptr_mod()->get_p() == c.get_ptr_mod()->get_p()); BOOST_CHECK(c.get_ptr_mod()->get_r().is_zero()); c.turn_on_sp_red_mul(); BOOST_CHECK(d.get_ptr_mod().get() == c.get_ptr_mod().get()); BOOST_CHECK(d.get_ptr_mod()->get_p() == c.get_ptr_mod()->get_p()); BOOST_CHECK(!c.get_ptr_mod()->get_p().is_zero()); GFpElement f(11,5); d = f; BOOST_CHECK(f.get_ptr_mod().get() != c.get_ptr_mod().get()); GFpElement e = c*c; GFpElement g = d*d; GFpElement h = f*f; BOOST_CHECK(h == g); GFpElement c2(5,2); GFpElement d2(5,2); d2.share_assign(c2); GFpElement f2(11,5); d2 = f2; c2.turn_on_sp_red_mul(); BOOST_CHECK(d2.get_ptr_mod().get() != c2.get_ptr_mod().get()); // the sharing group was left BOOST_CHECK(d2.get_ptr_mod()->get_r() == f2.get_ptr_mod()->get_r()); BOOST_CHECK(c2.get_p() == 5); // c2´s shared values weren´t modified because // the sharing group with d2 was separated by // the assignment "d2 = f2" d2.turn_on_sp_red_mul(); BOOST_CHECK(d2.get_ptr_mod()->get_p() != c2.get_ptr_mod()->get_p()); GFpElement e2 = c2*c2; GFpElement g2 = d2*d2; GFpElement h2 = f2*f2; BOOST_CHECK(h2 == g2); GFpElement c3(5,2); GFpElement d3(5,2); d3.share_assign(c3); GFpElement f3(11,2); d3 = f3; GFpElement e3 = c3*c3; GFpElement g3 = d3*d3; BOOST_CHECK(e == e2); BOOST_CHECK(g == g2); BOOST_CHECK(e == e3); BOOST_CHECK(g == g2); } void test_gfp_swap() { cout << "." << flush; BigInt p("173"); GFpElement a(p, BigInt("2342")); GFpElement b(p, BigInt("423420")); GFpModulus* a_mod = a.get_ptr_mod().get(); GFpModulus* b_mod = b.get_ptr_mod().get(); //GFpModulus* a_d = a.get_ptr_mod()->get_p_dash(); //GFpModulus* b_d = b.get_ptr_mod()->get_p_dash(); swap(a,b); BOOST_CHECK_MESSAGE(b.get_value() == 2342%173, "actual value of b was: " << b.get_value() ); BOOST_CHECK_MESSAGE(a.get_value() == 423420%173, "actual value of a was: " << a.get_value() ); BOOST_CHECK(a_mod == b.get_ptr_mod().get()); BOOST_CHECK(b_mod == a.get_ptr_mod().get()); //BOOST_CHECK(a_d == b.get_ptr_mod()->get_p_dash()); //BOOST_CHECK(b_d == a.get_ptr_p_dash()->get_p_dash()); GFpElement c(p, BigInt("2342329")); GFpElement d(1,1); d.share_assign(c); d += d; c.swap(d); BOOST_CHECK(d.get_value() == 2342329%173); BOOST_CHECK(c.get_value() == (d*2).get_value()); } void test_inv_in_place() { cout << "." << flush; BigInt mod(173); GFpElement a1(mod, 288); a1.turn_on_sp_red_mul(); a1.get_mres(); // enforce the conversion GFpElement a1_inv(a1); a1_inv.inverse_in_place(); GFpElement a2(mod, 288); GFpElement a2_inv(a2); a2_inv.inverse_in_place(); /*cout << "a1_inv = " << a1_inv << endl; cout << "a2_inv = " << a2_inv << endl;*/ BOOST_CHECK_MESSAGE(a1_inv == a2_inv, "error with inverting tranformed GFpElement"); BOOST_CHECK(a1_inv.inverse_in_place() == a1); BOOST_CHECK(a2_inv.inverse_in_place() == a2); } void test_op_eq() { cout << "." << flush; BigInt mod(173); GFpElement a1(mod, 299); a1.turn_on_sp_red_mul(); a1.get_mres(); // enforce the conversion GFpElement a2(mod, 288); BOOST_CHECK_MESSAGE(a1 != a2, "error with GFpElement comparison"); } void test_rand_int(RandomNumberGenerator& rng) { for(int i=0; i< 100; i++) { cout << "." << flush; BigInt x = BigInt::random_integer(rng, 1,3); //cout << "x = " << x << "\n"; // only 1,2 are put out BOOST_CHECK(x == 1 || x==2); } } void test_bi_bit_access() { cout << "." << flush; BigInt a(323); BOOST_CHECK(a.get_bit(1) == 1); BOOST_CHECK(a.get_bit(1000) == 0); } #if 0 void test_sec_mod_mul() { //cout << "starting test_sec_mod_mul" << endl; //mod_mul_secure(BigInt const& a, BigInt const& b, BigInt const& m) BigInt m("5334243285367"); BigInt a("3333333333333"); BigInt b("4444444444444"); for(int i = 0; i<10; i++) { cout << "." << flush; BigInt c1 = a * b; c1 %= m; BigInt c2 = mod_mul_secure(a, b, m); BOOST_CHECK_MESSAGE(c1 == c2, "should be " << c1 << ", was " << c2); } //cout << "ending test_sec_mod_mul" << endl; } #endif #if 0 void test_sec_bi_mul() { //mod_mul_secure(BigInt const& a, BigInt const& b, BigInt const& m) BigInt m("5334243285367"); BigInt a("3333333333333"); BigInt b("4444444444444"); for(int i = 0; i<10; i++) { cout << "." << flush; BigInt c1 = a * b; //c1 %= m; BigInt c2(a); c2.mult_this_secure(b, m); BOOST_CHECK_MESSAGE(c1 == c2, "should be " << c1 << ", was " << c2); } } #endif } u32bit do_gfpmath_tests(Botan::RandomNumberGenerator& rng) { std::cout << "Testing GF(p) math" << std::flush; test_turn_on_sp_red_mul(); test_bi_div_even(); test_bi_div_odd(); test_gfp_basics(); test_gfp_addSubNegate(); test_gfp_add(); test_gfp_sub(); test_gfp_mult_u32bit(); test_gfp_swap(); test_inv_in_place(); test_op_eq(); test_rand_int(rng); test_bi_bit_access(); //test_sec_mod_mul(); test_deep_montgm(); std::cout << "\nrest\n"; test_gfp_div_small_numbers(); test_gfp_mult(); test_gfp_div(); test_more_gfp_div(); test_gfp_shared_vals(); test_gfpel_ass_op(); std::cout << "\ndone\n"; return 0; } #else u32bit do_gfpmath_tests(Botan::RandomNumberGenerator& rng); #endif