/* Copyright (C) 2013 Tom Bachmann This file is part of FLINT. FLINT is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License (LGPL) as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. See . */ #include #include #include #include "padicxx.h" #include "flintxx/test/helpers.h" using namespace flint; void test_init() { padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE); tassert(ctx.get_p() == 5); padicxx a(ctx, 20); tassert(a.prec() == 20); padicxx c(a); tassert(a == c); padicxx b(ctx, 30); tassert((a + b).prec() == 30); tassert((a + b).create_temporary().prec() == 30); padicxx d((a + b).create_temporary()); tassert(d.prec() == 30); padicxx e(a + b); tassert(e.prec() == 30); tassert(padicxx::zero(ctx).is_zero() && padicxx::zero(ctx, 25).is_zero()); tassert(padicxx::one(ctx).is_one() && padicxx::one(ctx, 25).is_one()); a.prec() = 25; tassert(a.prec() == 25); a.val() = 17; tassert(a.val() == 17); padicxx zero = padicxx::zero(ctx); tassert(zero.unit() == 0); tassert((zero + zero).unit() == 0); tassert((zero + zero).val() == 0); } void test_assignment() { padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE); padicxx a(ctx, 20), b(ctx, 20); fmpzxx c(17); fmpqxx d(17, 1u); a = 17; tassert(a != b); b = 17; tassert(a == b); b = 0; tassert(a != b); b = UWORD(17); tassert(a == b); b = 0; b = c; tassert(a == b); b = 0; b = fmpzxx_ref(c); tassert(a == b); b = 0; b = fmpzxx_srcref(c); tassert(a == b); b = 0; b = d; tassert(a == b); } void test_conversion() { padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE); padicxx_ctx ctx2(fmpzxx(5), 10, 20, PADIC_VAL_UNIT); padicxx a(ctx), b(ctx2); a = 15; b = 15; tassert(a.to_string() == "15"); tassert(b.to_string() == "3*5"); tassert(a.to() == 15); tassert(a.to() == fmpqxx(15, 1u)); std::ostringstream oss; oss << a << ' ' << b; tassert(oss.str() == "15 3*5"); } template padicxx make_padic(const T& t, slong prec = PADIC_DEFAULT_PREC) { static padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE); return padicxx::from_QQ(t, ctx, prec); } template bool fuzzy_equals(const T& t, const U& u) { slong prec = std::min(t.prec(), u.prec()) - 5; padicxx a(t.estimate_ctx(), prec); a = t; padicxx b(t.estimate_ctx(), prec); b = u; return a == b; } void test_arithmetic() { fmpqxx af(17, 25u), bf(5, 27u); padicxx a(make_padic(af)); padicxx b(make_padic(bf)); tassert(fuzzy_equals(a + b, make_padic(af + bf))); tassert(fuzzy_equals(a * b, make_padic(af * bf))); tassert(fuzzy_equals(a / b, make_padic(af / bf))); tassert(fuzzy_equals(a - b, make_padic(af - bf))); tassert(fuzzy_equals(a << 2, make_padic(af * fmpzxx(25)))); tassert(fuzzy_equals(a >> 2, make_padic(af / fmpzxx(25)))); tassert(-a == make_padic(-af)); } void test_functions() { padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE); padicxx a(make_padic(fmpqxx(14, 25u))); tassert(fuzzy_equals(a, pow(sqrt(a), 2))); assert_exception(sqrt(make_padic(fmpqxx(2, 1u))).evaluate()); fmpqxx cf(14*5, 1u); padicxx c = make_padic(fmpqxx(14*5, 1u)); tassert(fuzzy_equals(log(exp(c)), c)); tassert(exp(c) == exp_rectangular(c) && exp(c) == exp_balanced(c)); c = exp(c); tassert(log(c) == log_satoh(c) && log(c) == log_balanced(c) && log(c) == log_rectangular(c)); padicxx b(make_padic(fmpqxx(14, 17u))); tassert((inv(b)*b).is_one()); padicxx two(make_padic(fmpqxx(2, 1u))); padicxx tl(teichmuller(two)); tassert(pow(tl, 4).is_one() && (tl - two).val() > 0); // TODO test reduce // test padic_val_fac functions tassert(padic_val_fac(fmpzxx(26), fmpzxx(5)) == 6); tassert(padic_val_fac(26u, fmpzxx(5)) == 6); // test randomisation frandxx rand; tassert(padicxx::randtest(rand, ctx, 5).val() < 5 && padicxx::randtest(rand, ctx, 5).val() >= -1); tassert(padicxx::randtest(rand, ctx, -5).val() < -5 && padicxx::randtest(rand, ctx, -5).val() >= -6); tassert(!padicxx::randtest_not_zero(rand, ctx, 5).is_zero()); tassert(padicxx::randtest_int(rand, ctx, -5).is_zero()); padicxx ap(a), bp(b); swap(a, b); tassert(a == bp && b == ap); // test members (just a sample, since from macros) tassert(b.inv() == inv(b)); tassert(b.pow(7) == pow(b, 7)); } // test stuff which we should get automatically - references etc void test_extras() { padicxx a(make_padic(fmpqxx(3, 5u))); padicxx b(make_padic(fmpqxx(3, 1u))); padicxx_ref ar(a); padicxx_srcref asr(a); tassert(a == ar && ar == asr); ar = 3; tassert(a == b && asr == b); tassert(ar + asr == a + a); tassert(padicxx(ar) == ar); tassert(padicxx(asr) == ar); } void test_prec() { padicxx_ctx ctx(fmpzxx(5), 10, 20, PADIC_TERSE); padicxx a(ctx, 5), b(ctx, 7); padicxx_ref ar(a); padicxx_srcref br(b); tassert((a + a).prec() == 5); tassert((a + ar).prec() == 5); tassert((a + b).prec() == 7); tassert((a + br).prec() == 7); tassert((a.toN(15) + br.toN(10)).prec() == 15); } void test_printing() { tassert_fprint(make_padic(0), "0"); } int main() { std::cout << "padicxx...."; test_init(); test_assignment(); test_conversion(); test_arithmetic(); test_functions(); test_extras(); test_prec(); test_printing(); std::cout << "PASS" << std::endl; return 0; }