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Add more test to interval, to check inclusion property of the results

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This commit is contained in:
Soonho Kong 2013-08-14 19:52:35 -07:00
parent 0a2ac88dd1
commit da764aec14
1 changed files with 465 additions and 131 deletions
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586
src/tests/interval/mpfp_interval.cpp
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@ -16,6 +16,48 @@ using namespace lean;
using std::cout;
using std::endl;
// Check F(I.lower()) \in F(I) and F(I.upper()) \in F(I).
#define check_bop(f, i, c) { \
cout << #f << "(" << #i << " " << i << ", " << c << ") = "; \
fi tmp = f(i, c); \
cout << tmp << endl; \
if(!i.is_lower_inf()) { \
numeric_traits<mpfp>::set_rounding(false); \
mpfp l = f(i.lower(), c); \
cout << "\t" << #f << "(" << i.lower() << ", " << c << ") = " << l << endl; \
lean_assert(tmp.is_lower_inf() || \
((tmp.lower() <= l) && (tmp.is_upper_inf() || (l <= tmp.upper())))); \
} \
if(!i.is_upper_inf()) { \
numeric_traits<mpfp>::set_rounding(true); \
mpfp u = f(i.upper(), c); \
cout << "\t" << #f << "(" << i.upper() << ", " << c << ") = " << u << endl; \
lean_assert(tmp.is_upper_inf() || \
((tmp.is_lower_inf() || (tmp.lower() <= u)) && (u <= tmp.upper()))); \
} \
}
#define check_uop(f, i) { \
cout << #f << "(" << #i << " " << i << ") = "; \
fi tmp = f(i); \
cout << tmp << endl; \
if(!i.is_lower_inf()) { \
numeric_traits<mpfp>::set_rounding(false); \
mpfp l = f(i.lower()); \
cout << "\t" << #f << "(" << i.lower() << ") = " << l << endl; \
lean_assert(tmp.is_lower_inf() || \
((tmp.lower() <= l) && (tmp.is_upper_inf() || (l <= tmp.upper())))); \
} \
if(!i.is_upper_inf()) { \
numeric_traits<mpfp>::set_rounding(true); \
mpfp u = f(i.upper()); \
cout << "\t" << #f << "(" << i.upper() << ") = " << u << endl; \
lean_assert(tmp.is_upper_inf() || \
((tmp.is_lower_inf() || (tmp.lower() <= u)) && (u <= tmp.upper()))); \
} \
}
typedef interval<double> di;
typedef interval<mpfp> fi;
@ -326,16 +368,48 @@ static void mpfp_interval_trans() {
fi i3(-10.0, -5.0);
fi i4(-3.0, +4.0);
fi i5(5.0, 8.0);
fi i6(0.3, 1.67);
fi i7(1.8, 3.5);
fi i8(3.5, 4.9);
fi i9(-3.15, -2.0);
fi i10(-0.99, 0.5);
fi i11(-0.8, -0.5);
fi i12(-0.3, 0.2);
fi i13(0.5, 0.9);
fi i14(-0.1, 0.8);
fi i15(-0.4, -0.3);
fi oi1(1.0, 2.0);
fi oi2(3.0, 4.0);
fi oi3(-10.0, -5.0);
fi oi4(-3.0, +4.0);
fi oi5(5.0, 8.0);
fi oi6(0.3, 1.67);
fi oi7(1.8, 3.5);
fi oi8(3.5, 4.9);
fi oi9(-3.15, -2.0);
fi oi10(-3.19, -1.0);
fi oi11(-0.8, -0.5);
fi oi12(-0.3, 0.2);
fi oi13(0.5, 0.9);
fi oi14(-0.1, 0.8);
fi oi15(-0.4, -0.3);
oi1.set_is_lower_open(true); oi1.set_is_upper_open(true);
oi2.set_is_lower_open(true); oi2.set_is_upper_open(true);
oi3.set_is_lower_open(true); oi3.set_is_upper_open(true);
oi4.set_is_lower_open(true); oi4.set_is_upper_open(true);
oi5.set_is_lower_open(true); oi5.set_is_upper_open(true);
oi6.set_is_lower_open(true); oi6.set_is_upper_open(true);
oi7.set_is_lower_open(true); oi7.set_is_upper_open(true);
oi8.set_is_lower_open(true); oi8.set_is_upper_open(true);
oi9.set_is_lower_open(true); oi9.set_is_upper_open(true);
oi10.set_is_lower_open(true); oi10.set_is_upper_open(true);
oi11.set_is_lower_open(true); oi11.set_is_upper_open(true);
oi12.set_is_lower_open(true); oi12.set_is_upper_open(true);
oi13.set_is_lower_open(true); oi13.set_is_upper_open(true);
oi14.set_is_lower_open(true); oi14.set_is_upper_open(true);
oi15.set_is_lower_open(true); oi15.set_is_upper_open(true);
fi inf;
fi ozero_pinf;
@ -356,150 +430,410 @@ static void mpfp_interval_trans() {
mpfp c5(-0.3);
cout << "=====================" << endl;
cout << "power" << "(" << i1 << ", " << 3 << ") = " << power(i1, 3) << endl;
cout << "power" << "(" << i2 << ", " << 3 << ") = " << power(i2, 3) << endl;
cout << "power" << "(" << i3 << ", " << 3 << ") = " << power(i3, 3) << endl;
cout << "power" << "(" << i4 << ", " << 3 << ") = " << power(i4, 3) << endl;
cout << "power" << "(" << i5 << ", " << 3 << ") = " << power(i5, 3) << endl;
cout << "power" << "(" << oi1 << ", " << 3 << ") = " << power(oi1, 3) << endl;
cout << "power" << "(" << oi2 << ", " << 3 << ") = " << power(oi2, 3) << endl;
cout << "power" << "(" << oi3 << ", " << 3 << ") = " << power(oi3, 3) << endl;
cout << "power" << "(" << oi4 << ", " << 3 << ") = " << power(oi4, 3) << endl;
cout << "power" << "(" << oi5 << ", " << 3 << ") = " << power(oi5, 3) << endl;
cout << "power" << "(" << inf << ", " << 3 << ") = " << power(inf, 3) << endl;
cout << "power" << "(" << ozero_ninf << ", " << 3 << ") = " << power(ozero_ninf, 3) << endl;
cout << "power" << "(" << ozero_pinf << ", " << 3 << ") = " << power(ozero_pinf, 3) << endl;
cout << "power" << "(" << czero_ninf << ", " << 3 << ") = " << power(czero_ninf, 3) << endl;
cout << "power" << "(" << czero_pinf << ", " << 3 << ") = " << power(czero_pinf, 3) << endl;
check_bop(power, i1, 3lu);
check_bop(power, i2, 3lu);
check_bop(power, i3, 3lu);
check_bop(power, i4, 3lu);
check_bop(power, i5, 3lu);
check_bop(power, i6, 3lu);
check_bop(power, i7, 3lu);
check_bop(power, i8, 3lu);
check_bop(power, i9, 3lu);
check_bop(power, i10, 3lu);
check_bop(power, i11, 3lu);
check_bop(power, i12, 3lu);
check_bop(power, i13, 3lu);
check_bop(power, i14, 3lu);
check_bop(power, i15, 3lu);
check_bop(power, oi1, 3lu);
check_bop(power, oi2, 3lu);
check_bop(power, oi3, 3lu);
check_bop(power, oi4, 3lu);
check_bop(power, oi5, 3lu);
check_bop(power, oi6, 3lu);
check_bop(power, oi7, 3lu);
check_bop(power, oi8, 3lu);
check_bop(power, oi9, 3lu);
check_bop(power, oi10, 3lu);
check_bop(power, oi11, 3lu);
check_bop(power, oi12, 3lu);
check_bop(power, oi13, 3lu);
check_bop(power, oi14, 3lu);
check_bop(power, oi15, 3lu);
check_bop(power, inf, 3lu);
check_bop(power, ozero_ninf, 3lu);
check_bop(power, ozero_pinf, 3lu);
check_bop(power, czero_ninf, 3lu);
check_bop(power, czero_pinf, 3lu);
cout << "=====================" << endl;
cout << "exp" << "(" << i1 << ") = " << exp(i1) << endl;
cout << "exp" << "(" << i2 << ") = " << exp(i2) << endl;
cout << "exp" << "(" << i3 << ") = " << exp(i3) << endl;
cout << "exp" << "(" << i4 << ") = " << exp(i4) << endl;
cout << "exp" << "(" << i5 << ") = " << exp(i5) << endl;
cout << "exp" << "(" << oi1 << ") = " << exp(oi1) << endl;
cout << "exp" << "(" << oi2 << ") = " << exp(oi2) << endl;
cout << "exp" << "(" << oi3 << ") = " << exp(oi3) << endl;
cout << "exp" << "(" << oi4 << ") = " << exp(oi4) << endl;
cout << "exp" << "(" << oi5 << ") = " << exp(oi5) << endl;
cout << "exp" << "(" << ozero_pinf << ") = " << exp(ozero_pinf) << endl;
cout << "exp" << "(" << ozero_ninf << ") = " << exp(ozero_ninf) << endl;
cout << "exp" << "(" << czero_pinf << ") = " << exp(czero_pinf) << endl;
cout << "exp" << "(" << czero_ninf << ") = " << exp(czero_ninf) << endl;
cout << "exp" << "(" << inf << ") = " << exp(inf) << endl;
check_uop(exp, i1);
check_uop(exp, i2);
check_uop(exp, i3);
check_uop(exp, i4);
check_uop(exp, i5);
check_uop(exp, i6);
check_uop(exp, i7);
check_uop(exp, i8);
check_uop(exp, i9);
check_uop(exp, i10);
check_uop(exp, i11);
check_uop(exp, i12);
check_uop(exp, i13);
check_uop(exp, i14);
check_uop(exp, i15);
check_uop(exp, oi1);
check_uop(exp, oi2);
check_uop(exp, oi3);
check_uop(exp, oi4);
check_uop(exp, oi5);
check_uop(exp, oi6);
check_uop(exp, oi7);
check_uop(exp, oi8);
check_uop(exp, oi9);
check_uop(exp, oi10);
check_uop(exp, oi11);
check_uop(exp, oi12);
check_uop(exp, oi13);
check_uop(exp, oi14);
check_uop(exp, oi15);
check_uop(exp, inf);
check_uop(exp, ozero_pinf);
check_uop(exp, ozero_ninf);
check_uop(exp, czero_pinf);
check_uop(exp, czero_ninf);
cout << "=====================" << endl;
cout << "exp2" << "(" << i1 << ") = " << exp2(i1) << endl;
cout << "exp2" << "(" << i2 << ") = " << exp2(i2) << endl;
cout << "exp2" << "(" << i3 << ") = " << exp2(i3) << endl;
cout << "exp2" << "(" << i4 << ") = " << exp2(i4) << endl;
cout << "exp2" << "(" << i5 << ") = " << exp2(i5) << endl;
cout << "exp2" << "(" << oi1 << ") = " << exp2(oi1) << endl;
cout << "exp2" << "(" << oi2 << ") = " << exp2(oi2) << endl;
cout << "exp2" << "(" << oi3 << ") = " << exp2(oi3) << endl;
cout << "exp2" << "(" << oi4 << ") = " << exp2(oi4) << endl;
cout << "exp2" << "(" << oi5 << ") = " << exp2(oi5) << endl;
cout << "exp2" << "(" << ozero_pinf << ") = " << exp2(ozero_pinf) << endl;
cout << "exp2" << "(" << ozero_ninf << ") = " << exp2(ozero_ninf) << endl;
cout << "exp2" << "(" << czero_pinf << ") = " << exp2(czero_pinf) << endl;
cout << "exp2" << "(" << czero_ninf << ") = " << exp2(czero_ninf) << endl;
cout << "exp2" << "(" << inf << ") = " << exp2(inf) << endl;
check_uop(exp2, i1);
check_uop(exp2, i2);
check_uop(exp2, i3);
check_uop(exp2, i4);
check_uop(exp2, i5);
check_uop(exp2, i6);
check_uop(exp2, i7);
check_uop(exp2, i8);
check_uop(exp2, i9);
check_uop(exp2, i10);
check_uop(exp2, i11);
check_uop(exp2, i12);
check_uop(exp2, i13);
check_uop(exp2, i14);
check_uop(exp2, i15);
check_uop(exp2, oi1);
check_uop(exp2, oi2);
check_uop(exp2, oi3);
check_uop(exp2, oi4);
check_uop(exp2, oi5);
check_uop(exp2, oi6);
check_uop(exp2, oi7);
check_uop(exp2, oi8);
check_uop(exp2, oi9);
check_uop(exp2, oi10);
check_uop(exp2, oi11);
check_uop(exp2, oi12);
check_uop(exp2, oi13);
check_uop(exp2, oi14);
check_uop(exp2, oi15);
check_uop(exp2, inf);
check_uop(exp2, ozero_pinf);
check_uop(exp2, ozero_ninf);
check_uop(exp2, czero_pinf);
check_uop(exp2, czero_ninf);
cout << "=====================" << endl;
cout << "exp10" << "(" << i1 << ") = " << exp10(i1) << endl;
cout << "exp10" << "(" << i2 << ") = " << exp10(i2) << endl;
cout << "exp10" << "(" << i3 << ") = " << exp10(i3) << endl;
cout << "exp10" << "(" << i4 << ") = " << exp10(i4) << endl;
cout << "exp10" << "(" << i5 << ") = " << exp10(i5) << endl;
cout << "exp10" << "(" << oi1 << ") = " << exp10(oi1) << endl;
cout << "exp10" << "(" << oi2 << ") = " << exp10(oi2) << endl;
cout << "exp10" << "(" << oi3 << ") = " << exp10(oi3) << endl;
cout << "exp10" << "(" << oi4 << ") = " << exp10(oi4) << endl;
cout << "exp10" << "(" << oi5 << ") = " << exp10(oi5) << endl;
cout << "exp10" << "(" << ozero_pinf << ") = " << exp10(ozero_pinf) << endl;
cout << "exp10" << "(" << ozero_ninf << ") = " << exp10(ozero_ninf) << endl;
cout << "exp10" << "(" << czero_pinf << ") = " << exp10(czero_pinf) << endl;
cout << "exp10" << "(" << czero_ninf << ") = " << exp10(czero_ninf) << endl;
cout << "exp10" << "(" << inf << ") = " << exp10(inf) << endl;
check_uop(exp10, i1);
check_uop(exp10, i2);
check_uop(exp10, i3);
check_uop(exp10, i4);
check_uop(exp10, i5);
check_uop(exp10, i6);
check_uop(exp10, i7);
check_uop(exp10, i8);
check_uop(exp10, i9);
check_uop(exp10, i10);
check_uop(exp10, i11);
check_uop(exp10, i12);
check_uop(exp10, i13);
check_uop(exp10, i14);
check_uop(exp10, i15);
check_uop(exp10, oi1);
check_uop(exp10, oi2);
check_uop(exp10, oi3);
check_uop(exp10, oi4);
check_uop(exp10, oi5);
check_uop(exp10, oi6);
check_uop(exp10, oi7);
check_uop(exp10, oi8);
check_uop(exp10, oi9);
check_uop(exp10, oi10);
check_uop(exp10, oi11);
check_uop(exp10, oi12);
check_uop(exp10, oi13);
check_uop(exp10, oi14);
check_uop(exp10, oi15);
check_uop(exp10, inf);
check_uop(exp10, ozero_pinf);
check_uop(exp10, ozero_ninf);
check_uop(exp10, czero_pinf);
check_uop(exp10, czero_ninf);
cout << "=====================" << endl;
cout << "log" << "(" << i1 << ") = " << log(i1) << endl;
cout << "log" << "(" << i2 << ") = " << log(i2) << endl;
cout << "log" << "(" << i5 << ") = " << log(i5) << endl;
cout << "log" << "(" << oi1 << ") = " << log(oi1) << endl;
cout << "log" << "(" << oi2 << ") = " << log(oi2) << endl;
cout << "log" << "(" << oi5 << ") = " << log(oi5) << endl;
cout << "log" << "(" << ozero_pinf << ") = " << log(ozero_pinf) << endl;
check_uop(log, i1);
check_uop(log, i2);
check_uop(log, i5);
check_uop(log, i6);
check_uop(log, i7);
check_uop(log, i8);
check_uop(log, oi1);
check_uop(log, oi2);
check_uop(log, oi5);
check_uop(log, oi6);
check_uop(log, oi7);
check_uop(log, oi8);
check_uop(log, ozero_pinf);
cout << "=====================" << endl;
cout << "log2" << "(" << i1 << ") = " << log2(i1) << endl;
cout << "log2" << "(" << i2 << ") = " << log2(i2) << endl;
cout << "log2" << "(" << i5 << ") = " << log2(i5) << endl;
cout << "log2" << "(" << oi1 << ") = " << log2(oi1) << endl;
cout << "log2" << "(" << oi2 << ") = " << log2(oi2) << endl;
cout << "log2" << "(" << oi5 << ") = " << log2(oi5) << endl;
cout << "log2" << "(" << ozero_pinf << ") = " << log2(ozero_pinf) << endl;
check_uop(log2, i1);
check_uop(log2, i2);
check_uop(log2, i5);
check_uop(log2, i6);
check_uop(log2, i7);
check_uop(log2, i8);
check_uop(log2, oi1);
check_uop(log2, oi2);
check_uop(log2, oi5);
check_uop(log2, oi6);
check_uop(log2, oi7);
check_uop(log2, oi8);
check_uop(log2, ozero_pinf);
cout << "=====================" << endl;
cout << "log10" << "(" << i1 << ") = " << log10(i1) << endl;
cout << "log10" << "(" << i2 << ") = " << log10(i2) << endl;
cout << "log10" << "(" << i5 << ") = " << log10(i5) << endl;
cout << "log10" << "(" << oi1 << ") = " << log10(oi1) << endl;
cout << "log10" << "(" << oi2 << ") = " << log10(oi2) << endl;
cout << "log10" << "(" << oi5 << ") = " << log10(oi5) << endl;
cout << "log10" << "(" << ozero_pinf << ") = " << log10(ozero_pinf) << endl;
check_uop(log10, i1);
check_uop(log10, i2);
check_uop(log10, i5);
check_uop(log10, i6);
check_uop(log10, i7);
check_uop(log10, i8);
check_uop(log10, oi1);
check_uop(log10, oi2);
check_uop(log10, oi5);
check_uop(log10, oi6);
check_uop(log10, oi7);
check_uop(log10, oi8);
check_uop(log10, ozero_pinf);
cout << "=====================" << endl;
cout << "sin" << "(" << i1 << ") = " << sin(i1) << endl;
cout << "sin" << "(" << i2 << ") = " << sin(i2) << endl;
cout << "sin" << "(" << i3 << ") = " << sin(i3) << endl;
cout << "sin" << "(" << i4 << ") = " << sin(i4) << endl;
cout << "sin" << "(" << i5 << ") = " << sin(i5) << endl;
cout << "sin" << "(" << oi1 << ") = " << sin(oi1) << endl;
cout << "sin" << "(" << oi2 << ") = " << sin(oi2) << endl;
cout << "sin" << "(" << oi3 << ") = " << sin(oi3) << endl;
cout << "sin" << "(" << oi4 << ") = " << sin(oi4) << endl;
cout << "sin" << "(" << oi5 << ") = " << sin(oi5) << endl;
cout << "sin" << "(" << ozero_pinf << ") = " << sin(ozero_pinf) << endl;
cout << "sin" << "(" << ozero_ninf << ") = " << sin(ozero_ninf) << endl;
cout << "sin" << "(" << czero_pinf << ") = " << sin(czero_pinf) << endl;
cout << "sin" << "(" << czero_ninf << ") = " << sin(czero_ninf) << endl;
cout << "sin" << "(" << inf << ") = " << sin(inf) << endl;
check_uop(sin, i1);
check_uop(sin, i2);
check_uop(sin, i3);
check_uop(sin, i4);
check_uop(sin, i5);
check_uop(sin, i6);
check_uop(sin, i7);
check_uop(sin, i8);
check_uop(sin, i9);
check_uop(sin, i10);
check_uop(sin, oi1);
check_uop(sin, oi2);
check_uop(sin, oi3);
check_uop(sin, oi4);
check_uop(sin, oi5);
check_uop(sin, oi6);
check_uop(sin, oi7);
check_uop(sin, oi8);
check_uop(sin, oi9);
check_uop(sin, oi10);
check_uop(sin, inf);
check_uop(sin, ozero_pinf);
check_uop(sin, ozero_ninf);
check_uop(sin, czero_pinf);
check_uop(sin, czero_ninf);
cout << "=====================" << endl;
cout << "cos" << "(" << i1 << ") = " << cos(i1) << endl;
cout << "cos" << "(" << i2 << ") = " << cos(i2) << endl;
cout << "cos" << "(" << i3 << ") = " << cos(i3) << endl;
cout << "cos" << "(" << i4 << ") = " << cos(i4) << endl;
cout << "cos" << "(" << i5 << ") = " << cos(i5) << endl;
cout << "cos" << "(" << oi1 << ") = " << cos(oi1) << endl;
cout << "cos" << "(" << oi2 << ") = " << cos(oi2) << endl;
cout << "cos" << "(" << oi3 << ") = " << cos(oi3) << endl;
cout << "cos" << "(" << oi4 << ") = " << cos(oi4) << endl;
cout << "cos" << "(" << oi5 << ") = " << cos(oi5) << endl;
cout << "cos" << "(" << ozero_pinf << ") = " << cos(ozero_pinf) << endl;
cout << "cos" << "(" << ozero_ninf << ") = " << cos(ozero_ninf) << endl;
cout << "cos" << "(" << czero_pinf << ") = " << cos(czero_pinf) << endl;
cout << "cos" << "(" << czero_ninf << ") = " << cos(czero_ninf) << endl;
cout << "cos" << "(" << inf << ") = " << cos(inf) << endl;
check_uop(cos, i1);
check_uop(cos, i2);
check_uop(cos, i3);
check_uop(cos, i4);
check_uop(cos, i5);
check_uop(cos, i6);
check_uop(cos, i7);
check_uop(cos, i8);
check_uop(cos, i9);
check_uop(cos, i10);
check_uop(cos, oi1);
check_uop(cos, oi2);
check_uop(cos, oi3);
check_uop(cos, oi4);
check_uop(cos, oi5);
check_uop(cos, oi6);
check_uop(cos, oi7);
check_uop(cos, oi8);
check_uop(cos, oi9);
check_uop(cos, oi10);
check_uop(cos, inf);
check_uop(cos, ozero_pinf);
check_uop(cos, ozero_ninf);
check_uop(cos, czero_pinf);
check_uop(cos, czero_ninf);
cout << "=====================" << endl;
cout << "tan" << "(" << i1 << ") = " << tan(i1) << endl;
cout << "tan" << "(" << i2 << ") = " << tan(i2) << endl;
cout << "tan" << "(" << i3 << ") = " << tan(i3) << endl;
cout << "tan" << "(" << i4 << ") = " << tan(i4) << endl;
cout << "tan" << "(" << i5 << ") = " << tan(i5) << endl;
cout << "tan" << "(" << oi1 << ") = " << tan(oi1) << endl;
cout << "tan" << "(" << oi2 << ") = " << tan(oi2) << endl;
cout << "tan" << "(" << oi3 << ") = " << tan(oi3) << endl;
cout << "tan" << "(" << oi4 << ") = " << tan(oi4) << endl;
cout << "tan" << "(" << oi5 << ") = " << tan(oi5) << endl;
cout << "tan" << "(" << ozero_pinf << ") = " << tan(ozero_pinf) << endl;
cout << "tan" << "(" << ozero_ninf << ") = " << tan(ozero_ninf) << endl;
cout << "tan" << "(" << czero_pinf << ") = " << tan(czero_pinf) << endl;
cout << "tan" << "(" << czero_ninf << ") = " << tan(czero_ninf) << endl;
cout << "tan" << "(" << inf << ") = " << tan(inf) << endl;
check_uop(tan, i1);
check_uop(tan, i2);
check_uop(tan, i3);
check_uop(tan, i4);
check_uop(tan, i5);
check_uop(tan, i6);
check_uop(tan, i7);
check_uop(tan, i8);
check_uop(tan, i9);
check_uop(tan, i10);
check_uop(tan, oi1);
check_uop(tan, oi2);
check_uop(tan, oi3);
check_uop(tan, oi4);
check_uop(tan, oi5);
check_uop(tan, oi6);
check_uop(tan, oi7);
check_uop(tan, oi8);
check_uop(tan, oi9);
check_uop(tan, oi10);
check_uop(tan, inf);
check_uop(tan, ozero_pinf);
check_uop(tan, ozero_ninf);
check_uop(tan, czero_pinf);
check_uop(tan, czero_ninf);
cout << "=====================" << endl;
check_uop(asin, i11);
check_uop(asin, i12);
check_uop(asin, i13);
check_uop(asin, i14);
check_uop(asin, i15);
check_uop(asin, oi11);
check_uop(asin, oi12);
check_uop(asin, oi13);
check_uop(asin, oi14);
check_uop(asin, oi15);
cout << "=====================" << endl;
check_uop(acos, i11);
check_uop(acos, i12);
check_uop(acos, i13);
check_uop(acos, i14);
check_uop(acos, i15);
check_uop(acos, oi11);
check_uop(acos, oi12);
check_uop(acos, oi13);
check_uop(acos, oi14);
check_uop(acos, oi15);
cout << "=====================" << endl;
check_uop(atan, i1);
check_uop(atan, i2);
check_uop(atan, i3);
check_uop(atan, i4);
check_uop(atan, i5);
check_uop(atan, i6);
check_uop(atan, i7);
check_uop(atan, i8);
check_uop(atan, i9);
check_uop(atan, i10);
check_uop(atan, oi1);
check_uop(atan, oi2);
check_uop(atan, oi3);
check_uop(atan, oi4);
check_uop(atan, oi5);
check_uop(atan, oi6);
check_uop(atan, oi7);
check_uop(atan, oi8);
check_uop(atan, oi9);
check_uop(atan, oi10);
check_uop(atan, inf);
check_uop(atan, ozero_pinf);
check_uop(atan, ozero_ninf);
check_uop(atan, czero_pinf);
check_uop(atan, czero_ninf);
cout << "=====================" << endl;
check_uop(sinh, i1);
check_uop(sinh, i2);
check_uop(sinh, i3);
check_uop(sinh, i4);
check_uop(sinh, i5);
check_uop(sinh, i6);
check_uop(sinh, i7);
check_uop(sinh, i8);
check_uop(sinh, i9);
check_uop(sinh, i10);
check_uop(sinh, oi1);
check_uop(sinh, oi2);
check_uop(sinh, oi3);
check_uop(sinh, oi4);
check_uop(sinh, oi5);
check_uop(sinh, oi6);
check_uop(sinh, oi7);
check_uop(sinh, oi8);
check_uop(sinh, oi9);
check_uop(sinh, oi10);
check_uop(sinh, inf);
check_uop(sinh, ozero_pinf);
check_uop(sinh, ozero_ninf);
check_uop(sinh, czero_pinf);
check_uop(sinh, czero_ninf);
cout << "=====================" << endl;
check_uop(cosh, i1);
check_uop(cosh, i2);
check_uop(cosh, i3);
check_uop(cosh, i4);
check_uop(cosh, i5);
check_uop(cosh, i6);
check_uop(cosh, i7);
check_uop(cosh, i8);
check_uop(cosh, i9);
check_uop(cosh, i10);
check_uop(cosh, oi1);
check_uop(cosh, oi2);
check_uop(cosh, oi3);
check_uop(cosh, oi4);
check_uop(cosh, oi5);
check_uop(cosh, oi6);
check_uop(cosh, oi7);
check_uop(cosh, oi8);
check_uop(cosh, oi9);
check_uop(cosh, oi10);
check_uop(cosh, inf);
check_uop(cosh, ozero_pinf);
check_uop(cosh, ozero_ninf);
check_uop(cosh, czero_pinf);
check_uop(cosh, czero_ninf);
cout << "=====================" << endl;
check_uop(tanh, i1);
check_uop(tanh, i2);
check_uop(tanh, i3);
check_uop(tanh, i4);
check_uop(tanh, i5);
check_uop(tanh, i6);
check_uop(tanh, i7);
check_uop(tanh, i8);
check_uop(tanh, i9);
check_uop(tanh, i10);
check_uop(tanh, oi1);
check_uop(tanh, oi2);
check_uop(tanh, oi3);
check_uop(tanh, oi4);
check_uop(tanh, oi5);
check_uop(tanh, oi6);
check_uop(tanh, oi7);
check_uop(tanh, oi8);
check_uop(tanh, oi9);
check_uop(tanh, oi10);
check_uop(tanh, inf);
check_uop(tanh, ozero_pinf);
check_uop(tanh, ozero_ninf);
check_uop(tanh, czero_pinf);
check_uop(tanh, czero_ninf);
}
int main() {