15822095523

Committed 23 Jun 2025 10:43AM UTC coverage: 63.824% (-0.02%) from 63.84%

Build # 15822095523

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Merge pull request #99 from daisytuner/delinearization

adds support for delinearizing affine expressions

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88.92

/src/symbolic/utils.cpp

#include "sdfg/symbolic/utils.h"

#include <isl/ctx.h>
#include <isl/set.h>
#include <isl/space.h>

#include <regex>

#include "sdfg/codegen/language_extensions/c_language_extension.h"
#include "sdfg/symbolic/assumptions.h"
#include "sdfg/symbolic/extreme_values.h"
#include "sdfg/symbolic/polynomials.h"
#include "sdfg/symbolic/symbolic.h"

namespace sdfg {
namespace symbolic {

std::string expression_to_map_str(const MultiExpression& expr, const Assumptions& assums) {
    codegen::CLanguageExtension language_extension;

    // Get all symbols
    symbolic::SymbolSet syms;
    for (auto& expr : expr) {
        auto syms_expr = symbolic::atoms(expr);
        syms.insert(syms_expr.begin(), syms_expr.end());
    }

    // Distinguish between dimensions and parameters
    std::vector<std::string> dimensions;
    SymbolSet dimensions_syms;
    std::vector<std::string> parameters;
    SymbolSet parameters_syms;
    for (auto& sym : syms) {
        if (assums.find(sym) == assums.end() && assums.at(sym).constant()) {
            if (parameters_syms.find(sym) != parameters_syms.end()) {
                continue;
            }
            parameters.push_back(sym->get_name());
            parameters_syms.insert(sym);
        } else {
            if (dimensions_syms.find(sym) != dimensions_syms.end()) {
                continue;
            }
            dimensions.push_back(sym->get_name());
            dimensions_syms.insert(sym);
        }
    }

    // Generate constraints
    SymbolSet seen;
    auto constraints_syms = generate_constraints(syms, assums, seen);

    // Extend parameters with additional symbols from constraints
    for (auto& con : constraints_syms) {
        auto con_syms = symbolic::atoms(con);
        for (auto& con_sym : con_syms) {
            if (dimensions_syms.find(con_sym) == dimensions_syms.end()) {
                if (parameters_syms.find(con_sym) != parameters_syms.end()) {
                    continue;
                }
                parameters.push_back(con_sym->get_name());
                parameters_syms.insert(con_sym);
            }
        }
    }

    // Define map
    std::string map;
    if (!parameters.empty()) {
        std::sort(parameters.begin(), parameters.end());
        map += "[";
        map += helpers::join(parameters, ", ");
        map += "] -> ";
    }
    map += "{ [" + helpers::join(dimensions, ", ") + "] -> [";
    for (size_t i = 0; i < expr.size(); i++) {
        auto dim = expr[i];
        map += language_extension.expression(dim);
        if (i < expr.size() - 1) {
            map += ", ";
        }
    }
    map += "] ";

    std::vector<std::string> constraints;
    for (auto& con : constraints_syms) {
        auto con_str = constraint_to_isl_str(con);
        if (!con_str.empty()) {
            constraints.push_back(con_str);
        }
    }
    if (!constraints.empty()) {
        map += " : ";
        map += helpers::join(constraints, " and ");
    }

    map += " }";

    map = std::regex_replace(map, std::regex("\\."), "_");
    return map;
}

std::tuple<std::string, std::string, std::string> expressions_to_intersection_map_str(
    const MultiExpression& expr1, const MultiExpression& expr2, const Symbol& indvar,
    const Assumptions& assums1, const Assumptions& assums2) {
    codegen::CLanguageExtension language_extension;

    // Get all symbols
    symbolic::SymbolSet syms;
    for (auto& expr : expr1) {
        auto syms_expr = symbolic::atoms(expr);
        syms.insert(syms_expr.begin(), syms_expr.end());
    }
    for (auto& expr : expr2) {
        auto syms_expr = symbolic::atoms(expr);
        syms.insert(syms_expr.begin(), syms_expr.end());
    }

    // Distinguish between dimensions and parameters
    std::vector<std::string> dimensions;
    SymbolSet dimensions_syms;
    std::vector<std::string> parameters;
    SymbolSet parameters_syms;
    for (auto& sym : syms) {
        if (sym->get_name() != indvar->get_name() && assums1.at(sym).constant()) {
            if (parameters_syms.find(sym) != parameters_syms.end()) {
                continue;
            }
            parameters.push_back(sym->get_name());
            parameters_syms.insert(sym);
        } else {
            if (dimensions_syms.find(sym) != dimensions_syms.end()) {
                continue;
            }
            dimensions.push_back(sym->get_name());
            dimensions_syms.insert(sym);
        }
    }

    // Generate constraints
    SymbolSet seen;
    auto constraints_syms = generate_constraints(syms, assums1, seen);

    // Extend parameters with additional symbols from constraints
    for (auto& con : constraints_syms) {
        auto con_syms = symbolic::atoms(con);
        for (auto& con_sym : con_syms) {
            if (dimensions_syms.find(con_sym) == dimensions_syms.end()) {
                if (parameters_syms.find(con_sym) != parameters_syms.end()) {
                    continue;
                }
                parameters.push_back(con_sym->get_name());
                parameters_syms.insert(con_sym);
            }
        }
    }

    // Define two maps
    std::string map_1;
    std::string map_2;
    if (!parameters.empty()) {
        map_1 += "[";
        map_1 += helpers::join(parameters, ", ");
        map_1 += "] -> ";
        map_2 += "[";
        map_2 += helpers::join(parameters, ", ");
        map_2 += "] -> ";
    }
    map_1 += "{ [";
    map_2 += "{ [";
    for (size_t i = 0; i < dimensions.size(); i++) {
        map_1 += dimensions[i] + "_1";
        map_2 += dimensions[i] + "_2";
        if (i < dimensions.size() - 1) {
            map_1 += ", ";
            map_2 += ", ";
        }
    }
    map_1 += "] -> [";
    map_2 += "] -> [";
    for (size_t i = 0; i < expr1.size(); i++) {
        auto dim = expr1[i];
        for (auto& iter : dimensions) {
            dim = symbolic::subs(dim, symbolic::symbol(iter), symbolic::symbol(iter + "_1"));
        }
        map_1 += language_extension.expression(dim);
        if (i < expr1.size() - 1) {
            map_1 += ", ";
        }
    }
    for (size_t i = 0; i < expr2.size(); i++) {
        auto dim = expr2[i];
        for (auto& iter : dimensions) {
            dim = symbolic::subs(dim, symbolic::symbol(iter), symbolic::symbol(iter + "_2"));
        }
        map_2 += language_extension.expression(dim);
        if (i < expr2.size() - 1) {
            map_2 += ", ";
        }
    }
    map_1 += "] ";
    map_2 += "] ";

    std::vector<std::string> constraints_1;
    std::vector<std::string> constraints_2;
    // Add bounds
    for (auto& con : constraints_syms) {
        auto con_1 = con;
        auto con_2 = con;
        for (auto& iter : dimensions) {
            con_1 = symbolic::subs(con_1, symbolic::symbol(iter), symbolic::symbol(iter + "_1"));
            con_2 = symbolic::subs(con_2, symbolic::symbol(iter), symbolic::symbol(iter + "_2"));
        }
        auto con_str_1 = constraint_to_isl_str(con_1);
        if (con_str_1.empty()) {
            continue;
        }
        auto con_str_2 = constraint_to_isl_str(con_2);
        if (!con_str_1.empty()) {
            constraints_1.push_back(con_str_1);
            constraints_2.push_back(con_str_2);
        }
    }
    if (!constraints_1.empty()) {
        map_1 += " : ";
        map_1 += helpers::join(constraints_1, " and ");
    }
    map_1 += " }";

    if (!constraints_2.empty()) {
        map_2 += " : ";
        map_2 += helpers::join(constraints_2, " and ");
    }
    map_2 += " }";

    std::string map_3 = "{ [";
    for (size_t i = 0; i < dimensions.size(); i++) {
        map_3 += dimensions[i] + "_2";
        if (i < dimensions.size() - 1) {
            map_3 += ", ";
        }
    }
    map_3 += "] -> [";
    for (size_t i = 0; i < dimensions.size(); i++) {
        map_3 += dimensions[i] + "_1";
        if (i < dimensions.size() - 1) {
            map_3 += ", ";
        }
    }
    map_3 += "]";
    std::vector<std::string> monotonicity_constraints;
    if (dimensions_syms.find(indvar) != dimensions_syms.end()) {
        monotonicity_constraints.push_back(indvar->get_name() + "_1 != " + indvar->get_name() +
                                           "_2");
    }
    if (!monotonicity_constraints.empty()) {
        map_3 += " : ";
        map_3 += helpers::join(monotonicity_constraints, " and ");
    }
    map_3 += " }";

    map_1 = std::regex_replace(map_1, std::regex("\\."), "_");
    map_2 = std::regex_replace(map_2, std::regex("\\."), "_");
    map_3 = std::regex_replace(map_3, std::regex("\\."), "_");

    return {map_1, map_2, map_3};
}

ExpressionSet generate_constraints(SymbolSet& syms, const Assumptions& assums, SymbolSet& seen) {
    ExpressionSet constraints;
    for (auto& sym : syms) {
        if (assums.find(sym) == assums.end()) {
            continue;
        }
        if (seen.find(sym) != seen.end()) {
            continue;
        }
        seen.insert(sym);

        auto ub = assums.at(sym).upper_bound();
        auto lb = assums.at(sym).lower_bound();
        if (!symbolic::eq(ub, symbolic::infty(1))) {
            if (SymEngine::is_a<SymEngine::Min>(*ub)) {
                auto min = SymEngine::rcp_static_cast<const SymEngine::Min>(ub);
                auto args = min->get_args();
                for (auto& arg : args) {
                    auto con = symbolic::Le(sym, arg);
                    auto con_syms = symbolic::atoms(con);
                    constraints.insert(con);

                    auto con_cons = generate_constraints(con_syms, assums, seen);
                    constraints.insert(con_cons.begin(), con_cons.end());
                }
            } else {
                auto con = symbolic::Le(sym, ub);
                auto con_syms = symbolic::atoms(con);
                constraints.insert(con);

                auto con_cons = generate_constraints(con_syms, assums, seen);
                constraints.insert(con_cons.begin(), con_cons.end());
            }
        }
        if (!symbolic::eq(lb, symbolic::infty(-1))) {
            if (SymEngine::is_a<SymEngine::Max>(*lb)) {
                auto max = SymEngine::rcp_static_cast<const SymEngine::Max>(lb);
                auto args = max->get_args();
                for (auto& arg : args) {
                    auto con = symbolic::Ge(sym, arg);
                    auto con_syms = symbolic::atoms(con);
                    constraints.insert(con);

                    auto con_cons = generate_constraints(con_syms, assums, seen);
                    constraints.insert(con_cons.begin(), con_cons.end());
                }
            } else {
                auto con = symbolic::Ge(sym, lb);
                auto con_syms = symbolic::atoms(con);
                constraints.insert(con);

                auto con_cons = generate_constraints(con_syms, assums, seen);
                constraints.insert(con_cons.begin(), con_cons.end());
            }
        }
    }
    return constraints;
}

std::string constraint_to_isl_str(const Expression& con) {
    codegen::CLanguageExtension language_extension;

    if (SymEngine::is_a<SymEngine::StrictLessThan>(*con)) {
        auto le = SymEngine::rcp_static_cast<const SymEngine::StrictLessThan>(con);
        auto lhs = le->get_arg1();
        auto rhs = le->get_arg2();
        return language_extension.expression(lhs) + " < " + language_extension.expression(rhs);
    } else if (SymEngine::is_a<SymEngine::LessThan>(*con)) {
        auto le = SymEngine::rcp_static_cast<const SymEngine::LessThan>(con);
        auto lhs = le->get_arg1();
        auto rhs = le->get_arg2();
        return language_extension.expression(lhs) + " <= " + language_extension.expression(rhs);
    } else if (SymEngine::is_a<SymEngine::Equality>(*con)) {
        auto eq = SymEngine::rcp_static_cast<const SymEngine::Equality>(con);
        auto lhs = eq->get_arg1();
        auto rhs = eq->get_arg2();
        return language_extension.expression(lhs) + " == " + language_extension.expression(rhs);
    } else if (SymEngine::is_a<SymEngine::Unequality>(*con)) {
        auto ne = SymEngine::rcp_static_cast<const SymEngine::Unequality>(con);
        auto lhs = ne->get_arg1();
        auto rhs = ne->get_arg2();
        return language_extension.expression(lhs) + " != " + language_extension.expression(rhs);
    }

    return "";
}

void canonicalize_map_dims(isl_map* map, const std::string& in_prefix,
                           const std::string& out_prefix) {
    int n_in = isl_map_dim(map, isl_dim_in);
    int n_out = isl_map_dim(map, isl_dim_out);

    for (int i = 0; i < n_in; ++i) {
        std::string name = in_prefix + std::to_string(i);
        map = isl_map_set_dim_name(map, isl_dim_in, i, name.c_str());
    }

    for (int i = 0; i < n_out; ++i) {
        std::string name = out_prefix + std::to_string(i);
        map = isl_map_set_dim_name(map, isl_dim_out, i, name.c_str());
    }
}

MultiExpression delinearize(const MultiExpression& expr, const Assumptions& assums) {
    MultiExpression delinearized;
    for (auto& dim : expr) {
        // Step 1: Convert expression into an affine polynomial
        SymbolVec symbols;
        for (auto& sym : atoms(dim)) {
            if (!assums.at(sym).constant()) {
                symbols.push_back(sym);
            }
        }
        if (symbols.empty() || symbols.size() <= 1) {
            delinearized.push_back(dim);
            continue;
        }

        auto poly = polynomial(dim, symbols);
        if (poly == SymEngine::null) {
            delinearized.push_back(dim);
            continue;
        }

        auto aff_coeffs = affine_coefficients(poly, symbols);
        if (aff_coeffs.empty()) {
            delinearized.push_back(dim);
            continue;
        }

        // Step 2: Peel-off dimensions
        bool success = true;
        Expression remaining = dim;
        std::vector<Expression> peeled_dims;
        while (aff_coeffs.size() > 1) {
            // Find the symbol with largest stride (= largest atom count)
            Symbol new_dim = symbolic::symbol("");
            size_t max_atom_count = 0;
            for (const auto& [sym, coeff] : aff_coeffs) {
                if (sym->get_name() == "__daisy_constant__") {
                    continue;
                }
                size_t atom_count = symbolic::atoms(coeff).size();
                if (atom_count > max_atom_count || new_dim->get_name() == "") {
                    max_atom_count = atom_count;
                    new_dim = sym;
                }
            }
            if (new_dim->get_name() == "") {
                break;
            }

            // Symbol must be nonnegative
            auto sym_lb = minimum(new_dim, {}, assums);
            if (sym_lb == SymEngine::null) {
                success = false;
                break;
            }
            auto sym_cond = symbolic::Ge(sym_lb, symbolic::zero());
            if (!symbolic::is_true(sym_cond)) {
                success = false;
                break;
            }

            // Stride must be positive
            Expression stride = aff_coeffs.at(new_dim);
            auto stride_lb = minimum(stride, {}, assums);
            if (stride_lb == SymEngine::null) {
                success = false;
                break;
            }
            auto stride_cond = symbolic::Ge(stride_lb, symbolic::one());
            if (!symbolic::is_true(stride_cond)) {
                success = false;
                break;
            }

            // Peel off the dimension
            remaining = symbolic::sub(remaining, symbolic::mul(stride, new_dim));

            // Check if remainder is within bounds

            // remaining must be nonnegative
            auto rem_lb = minimum(remaining, {}, assums);
            if (rem_lb == SymEngine::null) {
                success = false;
                break;
            }
            auto cond_zero = symbolic::Ge(rem_lb, symbolic::zero());
            if (!symbolic::is_true(cond_zero)) {
                success = false;
                break;
            }

            // remaining must be less than stride
            auto ub_stride = maximum(stride, {}, assums);
            auto ub_remaining = maximum(remaining, {}, assums);
            auto cond_stride = symbolic::Ge(ub_stride, ub_remaining);
            if (!symbolic::is_true(cond_stride)) {
                success = false;
                break;
            }

            // Add the peeled dimension to the list
            peeled_dims.push_back(new_dim);
            aff_coeffs.erase(new_dim);
        }
        if (!success) {
            delinearized.push_back(dim);
            continue;
        }

        for (auto& peeled_dim : peeled_dims) {
            delinearized.push_back(peeled_dim);
        }

        // If remaining is not zero, then add the constant term
        if (!symbolic::eq(remaining, symbolic::zero()) && success) {
            delinearized.push_back(remaining);
        }
    }

    return delinearized;
}

}  // namespace symbolic
}  // namespace sdfg

1	#include "sdfg/symbolic/utils.h"
2
3	#include <isl/ctx.h>
4	#include <isl/set.h>
5	#include <isl/space.h>
6
7	#include <regex>
8
9	#include "sdfg/codegen/language_extensions/c_language_extension.h"
10	#include "sdfg/symbolic/assumptions.h"
11	#include "sdfg/symbolic/extreme_values.h"
12	#include "sdfg/symbolic/polynomials.h"
13	#include "sdfg/symbolic/symbolic.h"
14
15	namespace sdfg {
16	namespace symbolic {
17
18	std::string expression_to_map_str(const MultiExpression& expr, const Assumptions& assums) {	44✔
19	codegen::CLanguageExtension language_extension;	44✔
20
21	// Get all symbols
22	symbolic::SymbolSet syms;	44✔
23	for (auto& expr : expr) {	88✔
24	auto syms_expr = symbolic::atoms(expr);	44✔
25	syms.insert(syms_expr.begin(), syms_expr.end());	44✔
26	}	44✔
27
28	// Distinguish between dimensions and parameters
29	std::vector<std::string> dimensions;	44✔
30	SymbolSet dimensions_syms;	44✔
31	std::vector<std::string> parameters;	44✔
32	SymbolSet parameters_syms;	44✔
33	for (auto& sym : syms) {	62✔
34	if (assums.find(sym) == assums.end() && assums.at(sym).constant()) {	18✔
35	if (parameters_syms.find(sym) != parameters_syms.end()) {	×
36	continue;	×
37	}
38	parameters.push_back(sym->get_name());	×
39	parameters_syms.insert(sym);	×
40	} else {	×
41	if (dimensions_syms.find(sym) != dimensions_syms.end()) {	18✔
42	continue;	×
43	}
44	dimensions.push_back(sym->get_name());	18✔
45	dimensions_syms.insert(sym);	18✔
46	}
47	}
48
49	// Generate constraints
50	SymbolSet seen;	44✔
51	auto constraints_syms = generate_constraints(syms, assums, seen);	44✔
52
53	// Extend parameters with additional symbols from constraints
54	for (auto& con : constraints_syms) {	90✔
55	auto con_syms = symbolic::atoms(con);	46✔
56	for (auto& con_sym : con_syms) {	110✔
57	if (dimensions_syms.find(con_sym) == dimensions_syms.end()) {	64✔
58	if (parameters_syms.find(con_sym) != parameters_syms.end()) {	24✔
59	continue;	12✔
60	}
61	parameters.push_back(con_sym->get_name());	12✔
62	parameters_syms.insert(con_sym);	12✔
63	}	12✔
64	}
65	}	46✔
66
67	// Define map
68	std::string map;	44✔
69	if (!parameters.empty()) {	44✔
70	std::sort(parameters.begin(), parameters.end());	6✔
71	map += "[";	6✔
72	map += helpers::join(parameters, ", ");	6✔
73	map += "] -> ";	6✔
74	}	6✔
75	map += "{ [" + helpers::join(dimensions, ", ") + "] -> [";	44✔
76	for (size_t i = 0; i < expr.size(); i++) {	88✔
77	auto dim = expr[i];	44✔
78	map += language_extension.expression(dim);	44✔
79	if (i < expr.size() - 1) {	44✔
80	map += ", ";	×
81	}	×
82	}	44✔
83	map += "] ";	44✔
84
85	std::vector<std::string> constraints;	44✔
86	for (auto& con : constraints_syms) {	90✔
87	auto con_str = constraint_to_isl_str(con);	46✔
88	if (!con_str.empty()) {	46✔
89	constraints.push_back(con_str);	44✔
90	}	44✔
91	}	46✔
92	if (!constraints.empty()) {	44✔
93	map += " : ";	18✔
94	map += helpers::join(constraints, " and ");	18✔
95	}	18✔
96
97	map += " }";	44✔
98
99	map = std::regex_replace(map, std::regex("\\."), "_");	44✔
100	return map;	44✔
101	}	44✔
102
103	std::tuple<std::string, std::string, std::string> expressions_to_intersection_map_str(	13✔
104	const MultiExpression& expr1, const MultiExpression& expr2, const Symbol& indvar,
105	const Assumptions& assums1, const Assumptions& assums2) {
106	codegen::CLanguageExtension language_extension;	13✔
107
108	// Get all symbols
109	symbolic::SymbolSet syms;	13✔
110	for (auto& expr : expr1) {	32✔
111	auto syms_expr = symbolic::atoms(expr);	19✔
112	syms.insert(syms_expr.begin(), syms_expr.end());	19✔
113	}	19✔
114	for (auto& expr : expr2) {	32✔
115	auto syms_expr = symbolic::atoms(expr);	19✔
116	syms.insert(syms_expr.begin(), syms_expr.end());	19✔
117	}	19✔
118
119	// Distinguish between dimensions and parameters
120	std::vector<std::string> dimensions;	13✔
121	SymbolSet dimensions_syms;	13✔
122	std::vector<std::string> parameters;	13✔
123	SymbolSet parameters_syms;	13✔
124	for (auto& sym : syms) {	30✔
125	if (sym->get_name() != indvar->get_name() && assums1.at(sym).constant()) {	17✔
126	if (parameters_syms.find(sym) != parameters_syms.end()) {	4✔
127	continue;	×
128	}
129	parameters.push_back(sym->get_name());	4✔
130	parameters_syms.insert(sym);	4✔
131	} else {	4✔
132	if (dimensions_syms.find(sym) != dimensions_syms.end()) {	13✔
133	continue;	×
134	}
135	dimensions.push_back(sym->get_name());	13✔
136	dimensions_syms.insert(sym);	13✔
137	}
138	}
139
140	// Generate constraints
141	SymbolSet seen;	13✔
142	auto constraints_syms = generate_constraints(syms, assums1, seen);	13✔
143
144	// Extend parameters with additional symbols from constraints
145	for (auto& con : constraints_syms) {	56✔
146	auto con_syms = symbolic::atoms(con);	43✔
147	for (auto& con_sym : con_syms) {	110✔
148	if (dimensions_syms.find(con_sym) == dimensions_syms.end()) {	67✔
149	if (parameters_syms.find(con_sym) != parameters_syms.end()) {	38✔
150	continue;	28✔
151	}
152	parameters.push_back(con_sym->get_name());	10✔
153	parameters_syms.insert(con_sym);	10✔
154	}	10✔
155	}
156	}	43✔
157
158	// Define two maps
159	std::string map_1;	13✔
160	std::string map_2;	13✔
161	if (!parameters.empty()) {	13✔
162	map_1 += "[";	10✔
163	map_1 += helpers::join(parameters, ", ");	10✔
164	map_1 += "] -> ";	10✔
165	map_2 += "[";	10✔
166	map_2 += helpers::join(parameters, ", ");	10✔
167	map_2 += "] -> ";	10✔
168	}	10✔
169	map_1 += "{ [";	13✔
170	map_2 += "{ [";	13✔
171	for (size_t i = 0; i < dimensions.size(); i++) {	26✔
172	map_1 += dimensions[i] + "_1";	13✔
173	map_2 += dimensions[i] + "_2";	13✔
174	if (i < dimensions.size() - 1) {	13✔
175	map_1 += ", ";	3✔
176	map_2 += ", ";	3✔
177	}	3✔
178	}	13✔
179	map_1 += "] -> [";	13✔
180	map_2 += "] -> [";	13✔
181	for (size_t i = 0; i < expr1.size(); i++) {	32✔
182	auto dim = expr1[i];	19✔
183	for (auto& iter : dimensions) {	41✔
184	dim = symbolic::subs(dim, symbolic::symbol(iter), symbolic::symbol(iter + "_1"));	22✔
185	}
186	map_1 += language_extension.expression(dim);	19✔
187	if (i < expr1.size() - 1) {	19✔
188	map_1 += ", ";	6✔
189	}	6✔
190	}	19✔
191	for (size_t i = 0; i < expr2.size(); i++) {	32✔
192	auto dim = expr2[i];	19✔
193	for (auto& iter : dimensions) {	41✔
194	dim = symbolic::subs(dim, symbolic::symbol(iter), symbolic::symbol(iter + "_2"));	22✔
195	}
196	map_2 += language_extension.expression(dim);	19✔
197	if (i < expr2.size() - 1) {	19✔
198	map_2 += ", ";	6✔
199	}	6✔
200	}	19✔
201	map_1 += "] ";	13✔
202	map_2 += "] ";	13✔
203
204	std::vector<std::string> constraints_1;	13✔
205	std::vector<std::string> constraints_2;	13✔
206	// Add bounds
207	for (auto& con : constraints_syms) {	56✔
208	auto con_1 = con;	43✔
209	auto con_2 = con;	43✔
210	for (auto& iter : dimensions) {	98✔
211	con_1 = symbolic::subs(con_1, symbolic::symbol(iter), symbolic::symbol(iter + "_1"));	55✔
212	con_2 = symbolic::subs(con_2, symbolic::symbol(iter), symbolic::symbol(iter + "_2"));	55✔
213	}
214	auto con_str_1 = constraint_to_isl_str(con_1);	43✔
215	if (con_str_1.empty()) {	43✔
216	continue;	×
217	}
218	auto con_str_2 = constraint_to_isl_str(con_2);	43✔
219	if (!con_str_1.empty()) {	43✔
220	constraints_1.push_back(con_str_1);	43✔
221	constraints_2.push_back(con_str_2);	43✔
222	}	43✔
223	}	43✔
224	if (!constraints_1.empty()) {	13✔
225	map_1 += " : ";	11✔
226	map_1 += helpers::join(constraints_1, " and ");	11✔
227	}	11✔
228	map_1 += " }";	13✔
229
230	if (!constraints_2.empty()) {	13✔
231	map_2 += " : ";	11✔
232	map_2 += helpers::join(constraints_2, " and ");	11✔
233	}	11✔
234	map_2 += " }";	13✔
235
236	std::string map_3 = "{ [";	13✔
237	for (size_t i = 0; i < dimensions.size(); i++) {	26✔
238	map_3 += dimensions[i] + "_2";	13✔
239	if (i < dimensions.size() - 1) {	13✔
240	map_3 += ", ";	3✔
241	}	3✔
242	}	13✔
243	map_3 += "] -> [";	13✔
244	for (size_t i = 0; i < dimensions.size(); i++) {	26✔
245	map_3 += dimensions[i] + "_1";	13✔
246	if (i < dimensions.size() - 1) {	13✔
247	map_3 += ", ";	3✔
248	}	3✔
249	}	13✔
250	map_3 += "]";	13✔
251	std::vector<std::string> monotonicity_constraints;	13✔
252	if (dimensions_syms.find(indvar) != dimensions_syms.end()) {	13✔
253	monotonicity_constraints.push_back(indvar->get_name() + "_1 != " + indvar->get_name() +	8✔
254	"_2");
255	}	8✔
256	if (!monotonicity_constraints.empty()) {	13✔
257	map_3 += " : ";	8✔
258	map_3 += helpers::join(monotonicity_constraints, " and ");	8✔
259	}	8✔
260	map_3 += " }";	13✔
261
262	map_1 = std::regex_replace(map_1, std::regex("\\."), "_");	13✔
263	map_2 = std::regex_replace(map_2, std::regex("\\."), "_");	13✔
264	map_3 = std::regex_replace(map_3, std::regex("\\."), "_");	13✔
265
266	return {map_1, map_2, map_3};	13✔
267	}	13✔
268
269	ExpressionSet generate_constraints(SymbolSet& syms, const Assumptions& assums, SymbolSet& seen) {	152✔
270	ExpressionSet constraints;	152✔
271	for (auto& sym : syms) {	326✔
272	if (assums.find(sym) == assums.end()) {	174✔
273	continue;	8✔
274	}
275	if (seen.find(sym) != seen.end()) {	166✔
276	continue;	115✔
277	}
278	seen.insert(sym);	51✔
279
280	auto ub = assums.at(sym).upper_bound();	51✔
281	auto lb = assums.at(sym).lower_bound();	51✔
282	if (!symbolic::eq(ub, symbolic::infty(1))) {	51✔
283	if (SymEngine::is_a<SymEngine::Min>(*ub)) {	40✔
284	auto min = SymEngine::rcp_static_cast<const SymEngine::Min>(ub);	2✔
285	auto args = min->get_args();	2✔
286	for (auto& arg : args) {	6✔
287	auto con = symbolic::Le(sym, arg);	4✔
288	auto con_syms = symbolic::atoms(con);	4✔
289	constraints.insert(con);	4✔
290
291	auto con_cons = generate_constraints(con_syms, assums, seen);	4✔
292	constraints.insert(con_cons.begin(), con_cons.end());	4✔
293	}	4✔
294	} else {	2✔
295	auto con = symbolic::Le(sym, ub);	38✔
296	auto con_syms = symbolic::atoms(con);	38✔
297	constraints.insert(con);	38✔
298
299	auto con_cons = generate_constraints(con_syms, assums, seen);	38✔
300	constraints.insert(con_cons.begin(), con_cons.end());	38✔
301	}	38✔
302	}	40✔
303	if (!symbolic::eq(lb, symbolic::infty(-1))) {	51✔
304	if (SymEngine::is_a<SymEngine::Max>(*lb)) {	51✔
305	auto max = SymEngine::rcp_static_cast<const SymEngine::Max>(lb);	2✔
306	auto args = max->get_args();	2✔
307	for (auto& arg : args) {	6✔
308	auto con = symbolic::Ge(sym, arg);	4✔
309	auto con_syms = symbolic::atoms(con);	4✔
310	constraints.insert(con);	4✔
311
312	auto con_cons = generate_constraints(con_syms, assums, seen);	4✔
313	constraints.insert(con_cons.begin(), con_cons.end());	4✔
314	}	4✔
315	} else {	2✔
316	auto con = symbolic::Ge(sym, lb);	49✔
317	auto con_syms = symbolic::atoms(con);	49✔
318	constraints.insert(con);	49✔
319
320	auto con_cons = generate_constraints(con_syms, assums, seen);	49✔
321	constraints.insert(con_cons.begin(), con_cons.end());	49✔
322	}	49✔
323	}	51✔
324	}	51✔
325	return constraints;	152✔
326	}	152✔
327
328	std::string constraint_to_isl_str(const Expression& con) {	132✔
329	codegen::CLanguageExtension language_extension;	132✔
330
331	if (SymEngine::is_a<SymEngine::StrictLessThan>(*con)) {	132✔
332	auto le = SymEngine::rcp_static_cast<const SymEngine::StrictLessThan>(con);	×
333	auto lhs = le->get_arg1();	×
334	auto rhs = le->get_arg2();	×
335	return language_extension.expression(lhs) + " < " + language_extension.expression(rhs);	×
336	} else if (SymEngine::is_a<SymEngine::LessThan>(*con)) {	132✔
337	auto le = SymEngine::rcp_static_cast<const SymEngine::LessThan>(con);	130✔
338	auto lhs = le->get_arg1();	130✔
339	auto rhs = le->get_arg2();	130✔
340	return language_extension.expression(lhs) + " <= " + language_extension.expression(rhs);	130✔
341	} else if (SymEngine::is_a<SymEngine::Equality>(*con)) {	132✔
342	auto eq = SymEngine::rcp_static_cast<const SymEngine::Equality>(con);	×
343	auto lhs = eq->get_arg1();	×
344	auto rhs = eq->get_arg2();	×
345	return language_extension.expression(lhs) + " == " + language_extension.expression(rhs);	×
346	} else if (SymEngine::is_a<SymEngine::Unequality>(*con)) {	2✔
347	auto ne = SymEngine::rcp_static_cast<const SymEngine::Unequality>(con);	×
348	auto lhs = ne->get_arg1();	×
349	auto rhs = ne->get_arg2();	×
350	return language_extension.expression(lhs) + " != " + language_extension.expression(rhs);	×
351	}	×
352
353	return "";	2✔
354	}	132✔
355
356	void canonicalize_map_dims(isl_map* map, const std::string& in_prefix,	44✔
357	const std::string& out_prefix) {
358	int n_in = isl_map_dim(map, isl_dim_in);	44✔
359	int n_out = isl_map_dim(map, isl_dim_out);	44✔
360
361	for (int i = 0; i < n_in; ++i) {	62✔
362	std::string name = in_prefix + std::to_string(i);	18✔
363	map = isl_map_set_dim_name(map, isl_dim_in, i, name.c_str());	18✔
364	}	18✔
365
366	for (int i = 0; i < n_out; ++i) {	88✔
367	std::string name = out_prefix + std::to_string(i);	44✔
368	map = isl_map_set_dim_name(map, isl_dim_out, i, name.c_str());	44✔
369	}	44✔
370	}	44✔
371
372	MultiExpression delinearize(const MultiExpression& expr, const Assumptions& assums) {	74✔
373	MultiExpression delinearized;	74✔
374	for (auto& dim : expr) {	160✔
375	// Step 1: Convert expression into an affine polynomial
376	SymbolVec symbols;	86✔
377	for (auto& sym : atoms(dim)) {	152✔
378	if (!assums.at(sym).constant()) {	66✔
379	symbols.push_back(sym);	33✔
380	}	33✔
381	}
382	if (symbols.empty() \|\| symbols.size() <= 1) {	86✔
383	delinearized.push_back(dim);	82✔
384	continue;	82✔
385	}
386
387	auto poly = polynomial(dim, symbols);	4✔
388	if (poly == SymEngine::null) {	4✔
389	delinearized.push_back(dim);	×
390	continue;	×
391	}
392
393	auto aff_coeffs = affine_coefficients(poly, symbols);	4✔
394	if (aff_coeffs.empty()) {	4✔
395	delinearized.push_back(dim);	×
396	continue;	×
397	}
398
399	// Step 2: Peel-off dimensions
400	bool success = true;	4✔
401	Expression remaining = dim;	4✔
402	std::vector<Expression> peeled_dims;	4✔
403	while (aff_coeffs.size() > 1) {	9✔
404	// Find the symbol with largest stride (= largest atom count)
405	Symbol new_dim = symbolic::symbol("");	7✔
406	size_t max_atom_count = 0;	7✔
407	for (const auto& [sym, coeff] : aff_coeffs) {	53✔
408	if (sym->get_name() == "__daisy_constant__") {	20✔
409	continue;	7✔
410	}
411	size_t atom_count = symbolic::atoms(coeff).size();	13✔
412	if (atom_count > max_atom_count \|\| new_dim->get_name() == "") {	13✔
413	max_atom_count = atom_count;	13✔
414	new_dim = sym;	13✔
415	}	13✔
416	}
417	if (new_dim->get_name() == "") {	7✔
418	break;	×
419	}
420
421	// Symbol must be nonnegative
422	auto sym_lb = minimum(new_dim, {}, assums);	7✔
423	if (sym_lb == SymEngine::null) {	7✔
424	success = false;	×
425	break;	×
426	}
427	auto sym_cond = symbolic::Ge(sym_lb, symbolic::zero());	7✔
428	if (!symbolic::is_true(sym_cond)) {	7✔
429	success = false;	1✔
430	break;	1✔
431	}
432
433	// Stride must be positive
434	Expression stride = aff_coeffs.at(new_dim);	6✔
435	auto stride_lb = minimum(stride, {}, assums);	6✔
436	if (stride_lb == SymEngine::null) {	6✔
437	success = false;	×
438	break;	×
439	}
440	auto stride_cond = symbolic::Ge(stride_lb, symbolic::one());	6✔
441	if (!symbolic::is_true(stride_cond)) {	6✔
442	success = false;	1✔
443	break;	1✔
444	}
445
446	// Peel off the dimension
447	remaining = symbolic::sub(remaining, symbolic::mul(stride, new_dim));	5✔
448
449	// Check if remainder is within bounds
450
451	// remaining must be nonnegative
452	auto rem_lb = minimum(remaining, {}, assums);	5✔
453	if (rem_lb == SymEngine::null) {	5✔
454	success = false;	×
455	break;	×
456	}
457	auto cond_zero = symbolic::Ge(rem_lb, symbolic::zero());	5✔
458	if (!symbolic::is_true(cond_zero)) {	5✔
459	success = false;	×
460	break;	×
461	}
462
463	// remaining must be less than stride
464	auto ub_stride = maximum(stride, {}, assums);	5✔
465	auto ub_remaining = maximum(remaining, {}, assums);	5✔
466	auto cond_stride = symbolic::Ge(ub_stride, ub_remaining);	5✔
467	if (!symbolic::is_true(cond_stride)) {	5✔
UNCOV 468	success = false;	×
UNCOV 469	break;	×
470	}
471
472	// Add the peeled dimension to the list
473	peeled_dims.push_back(new_dim);	5✔
474	aff_coeffs.erase(new_dim);	5✔
475	}	7✔
476	if (!success) {	4✔
477	delinearized.push_back(dim);	2✔
478	continue;	2✔
479	}
480
481	for (auto& peeled_dim : peeled_dims) {	7✔
482	delinearized.push_back(peeled_dim);	5✔
483	}
484
485	// If remaining is not zero, then add the constant term
486	if (!symbolic::eq(remaining, symbolic::zero()) && success) {	2✔
487	delinearized.push_back(remaining);	×
488	}	×
489	}	86✔
490
491	return delinearized;	74✔
492	}	74✔
493
494	} // namespace symbolic
495	} // namespace sdfg

daisytuner / sdfglib / 15822095523

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