add random sin/cos/tan trig tests (accuracy is fairly bad)
This commit is contained in:
Jeff Wang
parent
81253d8934
commit
f15790f252
@ -1,26 +1,41 @@
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// This program is free software: you can redistribute it and/or modify
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// it under the terms of the GNU General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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//
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// This program is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program. If not, see <https://www.gnu.org/licenses/>.
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#include <string>
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#include <boost/multiprecision/mpfr.hpp>
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#include <catch2/catch.hpp>
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#include "decn.h"
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#include "decn_tests.h"
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namespace bmp = boost::multiprecision;
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using Catch::Matchers::Equals;
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static void trig_test(void (*operation)(void), bmp::mpfr_float (*mpfr_operation)(bmp::mpfr_float x),
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const char* a_str, int a_exp, double rtol, double atol)
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double rtol, double atol)
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{
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CAPTURE(a_str); CAPTURE(a_exp);
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build_dec80(a_str, a_exp);
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//build mpfr float
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bmp::mpfr_float::default_precision(50);
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decn_to_str_complete(&AccDecn);
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CAPTURE(Buf);
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bmp::mpfr_float a_actual(Buf);
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//calculate
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operation();
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decn_to_str_complete(&AccDecn);
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CAPTURE(Buf);
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bmp::mpfr_float::default_precision(50);
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std::string a_full_str(a_str);
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a_full_str += "e" + std::to_string(a_exp);
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bmp::mpfr_float a_actual(a_full_str);
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//calculate actual
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a_actual = mpfr_operation(a_actual);
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CAPTURE(a_actual);
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@ -32,50 +47,92 @@ static void trig_test(void (*operation)(void), bmp::mpfr_float (*mpfr_operation)
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bmp::mpfr_float diff = abs(a_actual - calculated);
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CHECK(diff < atol);
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}
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}
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static void sin_test(
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const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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static void sin_test(double rtol=5e-3, double atol=1e-3)
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{
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trig_test(sin_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return sin(x);}, a_str, a_exp, rtol, atol);
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CAPTURE("sin test");
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trig_test(sin_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return sin(x);}, rtol, atol);
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}
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static void cos_test(
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const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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static void sin_test(const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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{
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trig_test(cos_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return cos(x);}, a_str, a_exp, rtol, atol);
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CAPTURE(a_str); CAPTURE(a_exp);
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build_dec80(a_str, a_exp);
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sin_test(rtol, atol);
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}
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static void tan_test(
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const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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static void cos_test(double rtol=5e-3, double atol=1e-3)
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{
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trig_test(tan_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return tan(x);}, a_str, a_exp, rtol, atol);
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CAPTURE("cos test");
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trig_test(cos_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return cos(x);}, rtol, atol);
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}
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static void atan_test(
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const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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static void cos_test(const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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{
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trig_test(arctan_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return atan(x);}, a_str, a_exp, rtol, atol);
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CAPTURE(a_str); CAPTURE(a_exp);
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build_dec80(a_str, a_exp);
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cos_test(rtol, atol);
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}
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static void asin_test(
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const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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static void tan_test(double rtol=5e-3, double atol=1e-3)
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{
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trig_test(arcsin_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return asin(x);}, a_str, a_exp, rtol, atol);
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trig_test(tan_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return tan(x);}, rtol, atol);
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}
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static void acos_test(
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const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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static void tan_test(const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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{
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trig_test(arccos_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return acos(x);}, a_str, a_exp, rtol, atol);
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CAPTURE(a_str); CAPTURE(a_exp);
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build_dec80(a_str, a_exp);
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tan_test(rtol, atol);
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}
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static void atan_test(double rtol=5e-3, double atol=1e-3)
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{
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trig_test(arctan_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return atan(x);}, rtol, atol);
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}
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static void atan_test(const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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{
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CAPTURE(a_str); CAPTURE(a_exp);
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build_dec80(a_str, a_exp);
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atan_test(rtol, atol);
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}
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static void asin_test(double rtol=5e-3, double atol=1e-3)
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{
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trig_test(arcsin_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return asin(x);}, rtol, atol);
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}
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static void asin_test(const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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{
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CAPTURE(a_str); CAPTURE(a_exp);
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build_dec80(a_str, a_exp);
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asin_test(rtol, atol);
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}
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static void acos_test(double rtol=5e-3, double atol=1e-3)
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{
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trig_test(arccos_decn, [](bmp::mpfr_float x) -> bmp::mpfr_float {return acos(x);}, rtol, atol);
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}
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static void acos_test(const char* a_str, int a_exp, double rtol=5e-3, double atol=1e-3)
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{
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CAPTURE(a_str); CAPTURE(a_exp);
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build_dec80(a_str, a_exp);
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acos_test(rtol, atol);
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}
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const char * const pi = "3.141592653589793239";
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const char * const pi_threequarters = "2.356194490192344929";
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const char * const pi_halfed = "1.570796326794896619";
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const char * const pi_quarted = ".7853981633974483096";
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const char * const pi_halved = "1.570796326794896619";
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const char * const pi_quarter = ".7853981633974483096";
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TEST_CASE("sin") {
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@ -96,8 +153,8 @@ TEST_CASE("sin") {
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sin_test("2.5", 0);
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sin_test("3.0", 0);
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sin_test(pi, 0, -1);
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sin_test(pi_quarted, 0);
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sin_test(pi_halfed, 0);
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sin_test(pi_quarter, 0);
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sin_test(pi_halved, 0);
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sin_test(pi_threequarters, 0);
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sin_test("1000.0", 0);
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sin_test("-0.5", 0);
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@ -129,8 +186,8 @@ TEST_CASE("cos") {
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cos_test("2.5", 0);
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cos_test("3.0", 0);
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cos_test(pi, 0);
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cos_test(pi_quarted, 0);
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cos_test(pi_halfed, 0, -1);
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cos_test(pi_quarter, 0);
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cos_test(pi_halved, 0, -1);
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cos_test(pi_threequarters, 0);
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cos_test("1000.0", 0);
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cos_test("-0.5", 0);
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@ -201,3 +258,122 @@ TEST_CASE("arccos") {
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acos_test("0.9", 0);
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acos_test("-0.9", 0);
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}
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static const int NUM_RAND_TRIG_TESTS = 4321; //trig tests are slow
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TEST_CASE("sin random"){
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std::default_random_engine gen;
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std::uniform_int_distribution<int> distrib(0,99);
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std::uniform_int_distribution<int> exp_distrib(-1,0); //restrict range for now
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std::uniform_int_distribution<int> sign_distrib(0,1);
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for (int j = 0; j < NUM_RAND_TRIG_TESTS; j++){
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for (int i = 0; i < DEC80_NUM_LSU; i++){
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AccDecn.lsu[i] = distrib(gen);
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}
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int exp = exp_distrib(gen);
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int sign = sign_distrib(gen);
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set_exponent(&AccDecn, exp, sign);
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int lsu0 = AccDecn.lsu[0];
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CAPTURE(lsu0);
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CAPTURE(exp);
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CAPTURE(sign);
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if (exp == -1 && lsu0 == 0){
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//very small
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sin_test(40);
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} else if ((exp == -1 && lsu0 < 10) || (exp == 0 && lsu0 == 0)){
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//small
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sin_test(0.4);
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} else if ((exp == 0 && lsu0 == 31)){
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//near pi
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sin_test(0.2);
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} else if ((exp == 0 && lsu0 == 62)){
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//near 2pi
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sin_test(0.2);
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} else if ((exp == 0 && lsu0 > 62)){
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//large
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sin_test(0.1);
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} else {
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sin_test(0.02);
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}
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}
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}
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TEST_CASE("cos random"){
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std::default_random_engine gen;
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std::uniform_int_distribution<int> distrib(0,99);
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std::uniform_int_distribution<int> exp_distrib(-1,0); //restrict range for now
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std::uniform_int_distribution<int> sign_distrib(0,1);
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for (int j = 0; j < NUM_RAND_TRIG_TESTS; j++){
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for (int i = 0; i < DEC80_NUM_LSU; i++){
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AccDecn.lsu[i] = distrib(gen);
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}
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int exp = exp_distrib(gen);
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int sign = sign_distrib(gen);
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set_exponent(&AccDecn, exp, sign);
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int lsu0 = AccDecn.lsu[0];
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CAPTURE(lsu0);
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CAPTURE(exp);
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CAPTURE(sign);
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if (exp == 0 && lsu0 == 15){
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//near pi/2
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cos_test(0.4);
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} else if (exp == 0 && lsu0 == 47){
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//near 3/2 * pi
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cos_test(0.4);
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} else if (exp == 0 && lsu0 == 78){
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//near 5/2 * pi
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// cos_test(0.4);
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cos_test(1.1); //actual rtol is much worse than 0.4, random test happens to hit a bad one
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} else {
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cos_test(0.02);
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}
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}
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}
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TEST_CASE("tan random"){
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std::default_random_engine gen;
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std::uniform_int_distribution<int> distrib(0,99);
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std::uniform_int_distribution<int> exp_distrib(-1,0); //restrict range for now
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std::uniform_int_distribution<int> sign_distrib(0,1);
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for (int j = 0; j < NUM_RAND_TRIG_TESTS; j++){
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for (int i = 0; i < DEC80_NUM_LSU; i++){
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AccDecn.lsu[i] = distrib(gen);
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}
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int exp = exp_distrib(gen);
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int sign = sign_distrib(gen);
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set_exponent(&AccDecn, exp, sign);
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int lsu0 = AccDecn.lsu[0];
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CAPTURE(lsu0);
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CAPTURE(exp);
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CAPTURE(sign);
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if (exp == -1 && lsu0 == 0){
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//very small
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tan_test(40);
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} else if ((exp == -1 && lsu0 < 10) || (exp == 0 && lsu0 == 0)){
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//small
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tan_test(0.5);
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} else if (exp == 0 && lsu0 == 15){
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//near pi/2
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tan_test(0.5);
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} else if ((exp == 0 && lsu0 == 31)){
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//near pi
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tan_test(0.2);
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} else if (exp == 0 && lsu0 == 47){
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//near 3/2 * pi
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tan_test(0.5);
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} else if ((exp == 0 && lsu0 == 62)){
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//near 2pi
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tan_test(0.2);
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} else if (exp == 0 && lsu0 == 78){
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//near 5/2 * pi
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// tan_test(0.5);
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tan_test(0.6); //actual rtol is much worse than 0.4, random test happens to hit a bad one
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} else if ((exp == 0 && lsu0 > 62)){
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//large
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tan_test(0.1);
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} else {
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tan_test(0.02);
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}
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}
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}
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