diff --git a/include/llama.h b/include/llama.h
index bd756fc5c..76c1aaf98 100644
--- a/include/llama.h
+++ b/include/llama.h
@@ -1176,11 +1176,11 @@ extern "C" {
     typedef void * llama_constraint_context_t;
 
     struct llama_constraint_i {
-        void (*accept)(struct llama_constraint * cnstr, llama_token token); // can be NULL
-        void (*apply) (struct llama_constraint * cnstr, llama_token_data_array * candidates);
-        void (*reset) (struct llama_constraint * cnstr); // e.g. for grammar and penalty constraints, can be NULL
-        void (*copy)  (struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src);
-        void (*free)  (struct llama_constraint * cnstr); // can be NULL
+        void (*accept)(struct llama_constraint * cnstr, llama_token token);                         // can be NULL
+        void (*apply) (struct llama_constraint * cnstr, llama_token_data_array * candidates);       // required
+        void (*reset) (struct llama_constraint * cnstr);                                            // can be NULL
+        void (*copy)  (struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src); // can be NULL if ctx is NULL
+        void (*free)  (struct llama_constraint * cnstr);                                            // can be NULL
 
         // TODO: API for internal libllama usage for appending the sampling to an existing ggml_cgraph
         //void (*apply_ggml) (struct llama_constraint * cnstr, ...);
@@ -1191,9 +1191,14 @@ extern "C" {
         llama_constraint_context_t   ctx;
     };
 
-    LLAMA_API struct llama_constraint * llama_constraint_init_top_k(int32_t k, int32_t min_keep);
-    LLAMA_API struct llama_constraint * llama_constraint_init_top_p(float   p, int32_t min_keep);
-    // ...
+    LLAMA_API struct llama_constraint * llama_constraint_init_top_k    (int32_t k, int32_t min_keep);
+    LLAMA_API struct llama_constraint * llama_constraint_init_top_p    (float   p, int32_t min_keep);
+    LLAMA_API struct llama_constraint * llama_constraint_init_min_p    (float   p, int32_t min_keep);
+    LLAMA_API struct llama_constraint * llama_constraint_init_tail_free(float   z, int32_t min_keep);
+    LLAMA_API struct llama_constraint * llama_constraint_init_typical  (float   p, int32_t min_keep);
+    LLAMA_API struct llama_constraint * llama_constraint_init_temp     (float   t);
+    LLAMA_API struct llama_constraint * llama_constraint_init_temp_ext (float   t, float delta, float exponent);
+    LLAMA_API struct llama_constraint * llama_constraint_init_grammar  (struct llama_model * model, const char * grammar_str, const char * grammar_root);
 
     // do not call if used with llama_sampler_add_constraint
     LLAMA_API void llama_constraint_free(struct llama_constraint * cnstr);
diff --git a/src/llama-grammar.cpp b/src/llama-grammar.cpp
index 8cd98bae4..092a738aa 100644
--- a/src/llama-grammar.cpp
+++ b/src/llama-grammar.cpp
@@ -1043,6 +1043,10 @@ struct llama_grammar * llama_grammar_init_impl(const struct llama_vocab * vocab,
 }
 
 void llama_grammar_free_impl(struct llama_grammar * grammar) {
+    if (grammar == nullptr) {
+        return;
+    }
+
     delete grammar;
 }
 
diff --git a/src/llama-sampling.cpp b/src/llama-sampling.cpp
index 5ccbf029f..becc949dc 100644
--- a/src/llama-sampling.cpp
+++ b/src/llama-sampling.cpp
@@ -718,6 +718,269 @@ struct llama_constraint * llama_constraint_init_top_p_impl(float p, size_t min_k
     return result;
 }
 
+// min-p
+
+struct llama_constraint_context_min_p {
+    float p;
+    size_t min_keep;
+};
+
+static struct llama_constraint_i llama_constraint_min_p_i = {
+    /* .accept = */ nullptr,
+    /* .apply  = */ [](struct llama_constraint * cnstr, llama_token_data_array * candidates) {
+        llama_constraint_context_min_p * ctx = (llama_constraint_context_min_p *) cnstr->ctx;
+        llama_sampling_min_p_impl(candidates, ctx->p, ctx->min_keep);
+    },
+    /* .reset  = */ nullptr,
+    /* .copy   = */ [](struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src) {
+        cnstr->ctx = new llama_constraint_context_min_p;
+        const auto * ctx_src = (const llama_constraint_context_min_p *) cnstr_src->ctx;
+              auto * ctx_dst = (      llama_constraint_context_min_p *) cnstr->ctx;
+        *ctx_dst = *ctx_src;
+    },
+    /* .free   = */ [](struct llama_constraint * cnstr) {
+        if (cnstr->ctx) {
+            delete (llama_constraint_context_min_p *) cnstr->ctx;
+        }
+        delete cnstr;
+    }
+};
+
+struct llama_constraint * llama_constraint_init_min_p_impl(float p, size_t min_keep) {
+    struct llama_constraint * result = new llama_constraint;
+
+    result->iface = &llama_constraint_min_p_i;
+    result->ctx = new llama_constraint_context_min_p{p, min_keep};
+
+    return result;
+}
+
+// tail-free
+
+struct llama_constraint_context_tail_free {
+    float z;
+    size_t min_keep;
+};
+
+static struct llama_constraint_i llama_constraint_tail_free_i = {
+    /* .accept = */ nullptr,
+    /* .apply  = */ [](struct llama_constraint * cnstr, llama_token_data_array * candidates) {
+        llama_constraint_context_tail_free * ctx = (llama_constraint_context_tail_free *) cnstr->ctx;
+        llama_sampling_tail_free_impl(candidates, ctx->z, ctx->min_keep);
+    },
+    /* .reset  = */ nullptr,
+    /* .copy   = */ [](struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src) {
+        cnstr->ctx = new llama_constraint_context_tail_free;
+        const auto * ctx_src = (const llama_constraint_context_tail_free *) cnstr_src->ctx;
+              auto * ctx_dst = (      llama_constraint_context_tail_free *) cnstr->ctx;
+        *ctx_dst = *ctx_src;
+    },
+    /* .free   = */ [](struct llama_constraint * cnstr) {
+        if (cnstr->ctx) {
+            delete (llama_constraint_context_tail_free *) cnstr->ctx;
+        }
+        delete cnstr;
+    }
+};
+
+struct llama_constraint * llama_constraint_init_tail_free_impl(float z, size_t min_keep) {
+    struct llama_constraint * result = new llama_constraint;
+
+    result->iface = &llama_constraint_tail_free_i;
+    result->ctx = new llama_constraint_context_tail_free{z, min_keep};
+
+    return result;
+}
+
+// typical
+
+struct llama_constraint_context_typical {
+    float p;
+    size_t min_keep;
+};
+
+static struct llama_constraint_i llama_constraint_typical_i = {
+    /* .accept = */ nullptr,
+    /* .apply  = */ [](struct llama_constraint * cnstr, llama_token_data_array * candidates) {
+        llama_constraint_context_typical * ctx = (llama_constraint_context_typical *) cnstr->ctx;
+        llama_sampling_typical_impl(candidates, ctx->p, ctx->min_keep);
+    },
+    /* .reset  = */ nullptr,
+    /* .copy   = */ [](struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src) {
+        cnstr->ctx = new llama_constraint_context_typical;
+        const auto * ctx_src = (const llama_constraint_context_typical *) cnstr_src->ctx;
+              auto * ctx_dst = (      llama_constraint_context_typical *) cnstr->ctx;
+        *ctx_dst = *ctx_src;
+    },
+    /* .free   = */ [](struct llama_constraint * cnstr) {
+        if (cnstr->ctx) {
+            delete (llama_constraint_context_typical *) cnstr->ctx;
+        }
+        delete cnstr;
+    }
+};
+
+struct llama_constraint * llama_constraint_init_typical_impl(float p, size_t min_keep) {
+    struct llama_constraint * result = new llama_constraint;
+
+    result->iface = &llama_constraint_typical_i;
+    result->ctx = new llama_constraint_context_typical{p, min_keep};
+
+    return result;
+}
+
+// temp
+
+struct llama_constraint_context_temp {
+    float temp;
+};
+
+static struct llama_constraint_i llama_constraint_temp_i = {
+    /* .accept = */ nullptr,
+    /* .apply  = */ [](struct llama_constraint * cnstr, llama_token_data_array * candidates) {
+        llama_constraint_context_temp * ctx = (llama_constraint_context_temp *) cnstr->ctx;
+        llama_sampling_temp_impl(candidates, ctx->temp);
+    },
+    /* .reset  = */ nullptr,
+    /* .copy   = */ [](struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src) {
+        cnstr->ctx = new llama_constraint_context_temp;
+        const auto * ctx_src = (const llama_constraint_context_temp *) cnstr_src->ctx;
+              auto * ctx_dst = (      llama_constraint_context_temp *) cnstr->ctx;
+        *ctx_dst = *ctx_src;
+    },
+    /* .free   = */ [](struct llama_constraint * cnstr) {
+        if (cnstr->ctx) {
+            delete (llama_constraint_context_temp *) cnstr->ctx;
+        }
+        delete cnstr;
+    }
+};
+
+struct llama_constraint * llama_constraint_init_temp_impl(float temp) {
+    struct llama_constraint * result = new llama_constraint;
+
+    result->iface = &llama_constraint_temp_i;
+    result->ctx = new llama_constraint_context_temp{temp};
+
+    return result;
+}
+
+// temp-ext
+
+struct llama_constraint_context_temp_ext {
+    float temp;
+    float delta;
+    float exponent;
+};
+
+static struct llama_constraint_i llama_constraint_temp_ext_i = {
+    /* .accept = */ nullptr,
+    /* .apply  = */ [](struct llama_constraint * cnstr, llama_token_data_array * candidates) {
+        llama_constraint_context_temp_ext * ctx = (llama_constraint_context_temp_ext *) cnstr->ctx;
+        if (ctx->delta > 0) {
+            const float temp_min = std::max(0.0f, ctx->temp - ctx->delta);
+            const float temp_max = ctx->temp + ctx->delta;
+
+            llama_sampling_entropy_impl(candidates, temp_min, temp_max, ctx->exponent);
+        } else {
+            llama_sampling_temp_impl(candidates, ctx->temp);
+        }
+    },
+    /* .reset  = */ nullptr,
+    /* .copy   = */ [](struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src) {
+        cnstr->ctx = new llama_constraint_context_temp_ext;
+        const auto * ctx_src = (const llama_constraint_context_temp_ext *) cnstr_src->ctx;
+              auto * ctx_dst = (      llama_constraint_context_temp_ext *) cnstr->ctx;
+        *ctx_dst = *ctx_src;
+    },
+    /* .free   = */ [](struct llama_constraint * cnstr) {
+        if (cnstr->ctx) {
+            delete (llama_constraint_context_temp_ext *) cnstr->ctx;
+        }
+        delete cnstr;
+    }
+};
+
+struct llama_constraint * llama_constraint_init_temp_ext_impl(float temp, float delta, float exponent) {
+    struct llama_constraint * result = new llama_constraint;
+
+    result->iface = &llama_constraint_temp_ext_i;
+    result->ctx = new llama_constraint_context_temp_ext{temp, delta, exponent};
+
+    return result;
+}
+
+// grammar
+
+struct llama_constraint_context_grammar {
+    std::string grammar_str;
+    std::string grammar_root;
+
+    struct llama_grammar * grammar;
+};
+
+static struct llama_constraint_i llama_constraint_grammar_i = {
+    /* .accept = */ nullptr,
+    /* .apply  = */ [](struct llama_constraint * cnstr, llama_token_data_array * candidates) {
+        llama_constraint_context_grammar * ctx = (llama_constraint_context_grammar *) cnstr->ctx;
+        if (ctx->grammar) {
+            llama_sampling_grammar_impl(candidates, *ctx->grammar);
+        }
+    },
+    /* .reset  = */ [](struct llama_constraint * cnstr) {
+        llama_constraint_context_grammar * ctx = (llama_constraint_context_grammar *) cnstr->ctx;
+        if (ctx->grammar) {
+            llama_grammar_free_impl(ctx->grammar);
+            ctx->grammar = nullptr;
+        }
+
+        if (!ctx->grammar_str.empty()) {
+            ctx->grammar = llama_grammar_init_impl(nullptr, ctx->grammar_str.c_str(), ctx->grammar_root.c_str());
+        }
+    },
+    /* .copy   = */ [](struct llama_constraint * cnstr, const struct llama_constraint * cnstr_src) {
+        cnstr->ctx = new llama_constraint_context_grammar;
+        const auto * ctx_src = (const llama_constraint_context_grammar *) cnstr_src->ctx;
+              auto * ctx_dst = (      llama_constraint_context_grammar *) cnstr->ctx;
+
+        *ctx_dst = *ctx_src;
+
+        if (ctx_src->grammar) {
+            ctx_dst->grammar = llama_grammar_cp_impl(*ctx_src->grammar);
+        } else {
+            ctx_dst->grammar = nullptr;
+        }
+    },
+    /* .free   = */ [](struct llama_constraint * cnstr) {
+        if (cnstr->ctx) {
+            {
+                auto * ctx = (llama_constraint_context_grammar *) cnstr->ctx;
+                llama_grammar_free_impl(ctx->grammar);
+            }
+
+            delete (llama_constraint_context_grammar *) cnstr->ctx;
+        }
+        delete cnstr;
+    }
+};
+
+struct llama_constraint * llama_constraint_init_grammar_impl(const struct llama_vocab & vocab, const char * grammar_str, const char * grammar_root) {
+    struct llama_constraint * result = new llama_constraint;
+
+    result->iface = &llama_constraint_grammar_i;
+    result->ctx = new llama_constraint_context_grammar;
+
+    auto * ctx = (llama_constraint_context_grammar *) result->ctx;
+
+    if (grammar_str != nullptr && grammar_str[0] != '\0') {
+        ctx->grammar = llama_grammar_init_impl(&vocab, grammar_str, grammar_root);
+    } else {
+        ctx->grammar = nullptr;
+    }
+
+    return result;
+}
+
 void llama_constraint_free_impl(struct llama_constraint * cnstr) {
     if (cnstr->iface->free && cnstr) {
         cnstr->iface->free(cnstr);
diff --git a/src/llama-sampling.h b/src/llama-sampling.h
index 2a98d103e..ed18da10d 100644
--- a/src/llama-sampling.h
+++ b/src/llama-sampling.h
@@ -113,8 +113,14 @@ int         llama_sampling_n_prev_impl(const struct llama_sampling & smpl);
 
 // constraints
 
-struct llama_constraint * llama_constraint_init_top_k_impl(int32_t k, size_t min_keep);
-struct llama_constraint * llama_constraint_init_top_p_impl(float   p, size_t min_keep);
+struct llama_constraint * llama_constraint_init_top_k_impl    (int32_t k, size_t min_keep);
+struct llama_constraint * llama_constraint_init_top_p_impl    (float   p, size_t min_keep);
+struct llama_constraint * llama_constraint_init_min_p_impl    (float   p, size_t min_keep);
+struct llama_constraint * llama_constraint_init_tail_free_impl(float   z, size_t min_keep);
+struct llama_constraint * llama_constraint_init_typical_impl  (float   p, size_t min_keep);
+struct llama_constraint * llama_constraint_init_temp_impl     (float   t);
+struct llama_constraint * llama_constraint_init_temp_ext_impl (float   t, float  delta, float exponent);
+struct llama_constraint * llama_constraint_init_grammar_impl  (const struct llama_vocab & vocab, const char * grammar_str, const char * grammar_root);
 
 void llama_constraint_free_impl(struct llama_constraint * cnstr);
 
diff --git a/src/llama.cpp b/src/llama.cpp
index 4d41c9262..a47ad0103 100644
--- a/src/llama.cpp
+++ b/src/llama.cpp
@@ -20983,6 +20983,30 @@ struct llama_constraint * llama_constraint_init_top_p(float p, int32_t min_keep)
     return llama_constraint_init_top_p_impl(p, min_keep);
 }
 
+struct llama_constraint * llama_constraint_init_min_p(float p, int32_t min_keep) {
+    return llama_constraint_init_min_p_impl(p, min_keep);
+}
+
+struct llama_constraint * llama_constraint_init_tail_free(float z, int32_t min_keep) {
+    return llama_constraint_init_tail_free_impl(z, min_keep);
+}
+
+struct llama_constraint * llama_constraint_init_typical(float p, int32_t min_keep) {
+    return llama_constraint_init_typical_impl(p, min_keep);
+}
+
+struct llama_constraint * llama_constraint_init_temp(float temp) {
+    return llama_constraint_init_temp_impl(temp);
+}
+
+struct llama_constraint * llama_constraint_init_temp_ext(float temp, float delta, float exponent) {
+    return llama_constraint_init_temp_ext_impl(temp, delta, exponent);
+}
+
+struct llama_constraint * llama_constraint_init_grammar(struct llama_model * model, const char * grammar_str, const char * grammar_root) {
+    return llama_constraint_init_grammar_impl(model->vocab, grammar_str, grammar_root);
+}
+
 void llama_constraint_free(struct llama_constraint * cnstr) {
     if (cnstr == nullptr) {
         return;