diff --git a/linker/linker_phdr.cpp b/linker/linker_phdr.cpp
index b0675c1..ff3d498 100644
--- a/linker/linker_phdr.cpp
+++ b/linker/linker_phdr.cpp
@@ -221,22 +221,17 @@
 }
 
 bool ElfReader::ReadElfHeader() {
-  size_t map_size = file_size_ - file_offset_;
-  if (map_size < sizeof(header_)) {
+  ssize_t rc = TEMP_FAILURE_RETRY(pread64(fd_, &header_, sizeof(header_), file_offset_));
+  if (rc < 0) {
+    DL_ERR("can't read file \"%s\": %s", name_.c_str(), strerror(errno));
+    return false;
+  }
+
+  if (rc != sizeof(header_)) {
     DL_ERR("\"%s\" is too small to be an ELF executable: only found %zd bytes", name_.c_str(),
-           map_size);
+           static_cast<size_t>(rc));
     return false;
   }
-
-  // Map at most 1MiB which should cover most cases
-  map_size = std::min(map_size, static_cast<size_t>(1 * 1024 * 1024));
-
-  if (!file_fragment_.Map(fd_, file_offset_, 0, map_size)) {
-    DL_ERR("\"%s\" header mmap failed: %m", name_.c_str());
-    return false;
-  }
-
-  header_ = *static_cast<ElfW(Ehdr)*>(file_fragment_.data());
   return true;
 }
 
@@ -345,24 +340,6 @@
          ((offset % alignment) == 0);
 }
 
-void* ElfReader::MapData(MappedFileFragment* fragment, off64_t offset, off64_t size) {
-  off64_t end;
-  CHECK(safe_add(&end, offset, size));
-
-  // If the data is already mapped just return it
-  if (static_cast<off64_t>(file_fragment_.size()) >= end) {
-    return static_cast<char*>(file_fragment_.data()) + offset;
-  }
-  // Use the passed-in fragment if area is not mapped. We can't remap the original fragment
-  // because that invalidates all previous pointers if the file is remapped to a different
-  // virtual address. A local variable can't be used in place of the passed-in fragment because
-  // the area would be unmapped as soon as the local object goes out of scope.
-  if (fragment->Map(fd_, file_offset_, offset, size)) {
-    return fragment->data();
-  }
-  return nullptr;
-}
-
 // Loads the program header table from an ELF file into a read-only private
 // anonymous mmap-ed block.
 bool ElfReader::ReadProgramHeaders() {
@@ -385,13 +362,12 @@
     return false;
   }
 
-  void* phdr_data = MapData(&phdr_fragment_, header_.e_phoff, size);
-  if (phdr_data == nullptr) {
+  if (!phdr_fragment_.Map(fd_, file_offset_, header_.e_phoff, size)) {
     DL_ERR("\"%s\" phdr mmap failed: %m", name_.c_str());
     return false;
   }
 
-  phdr_table_ = static_cast<ElfW(Phdr)*>(phdr_data);
+  phdr_table_ = static_cast<ElfW(Phdr)*>(phdr_fragment_.data());
   return true;
 }
 
@@ -412,13 +388,12 @@
     return false;
   }
 
-  void* shdr_data = MapData(&shdr_fragment_, header_.e_shoff, size);
-  if (shdr_data == nullptr) {
+  if (!shdr_fragment_.Map(fd_, file_offset_, header_.e_shoff, size)) {
     DL_ERR("\"%s\" shdr mmap failed: %m", name_.c_str());
     return false;
   }
 
-  shdr_table_ = static_cast<const ElfW(Shdr)*>(shdr_data);
+  shdr_table_ = static_cast<const ElfW(Shdr)*>(shdr_fragment_.data());
   return true;
 }
 
@@ -506,13 +481,12 @@
     return false;
   }
 
-  void* dynamic_data = MapData(&dynamic_fragment_, dynamic_shdr->sh_offset, dynamic_shdr->sh_size);
-  if (dynamic_data == nullptr) {
+  if (!dynamic_fragment_.Map(fd_, file_offset_, dynamic_shdr->sh_offset, dynamic_shdr->sh_size)) {
     DL_ERR("\"%s\" dynamic section mmap failed: %m", name_.c_str());
     return false;
   }
 
-  dynamic_ = static_cast<const ElfW(Dyn)*>(dynamic_data);
+  dynamic_ = static_cast<const ElfW(Dyn)*>(dynamic_fragment_.data());
 
   if (!CheckFileRange(strtab_shdr->sh_offset, strtab_shdr->sh_size, alignof(const char))) {
     DL_ERR_AND_LOG("\"%s\" has invalid offset/size of the .strtab section linked from .dynamic section",
@@ -520,14 +494,13 @@
     return false;
   }
 
-  void* strtab_data = MapData(&strtab_fragment_, strtab_shdr->sh_offset, strtab_shdr->sh_size);
-  if (strtab_data == nullptr) {
+  if (!strtab_fragment_.Map(fd_, file_offset_, strtab_shdr->sh_offset, strtab_shdr->sh_size)) {
     DL_ERR("\"%s\" strtab section mmap failed: %m", name_.c_str());
     return false;
   }
 
-  strtab_ = static_cast<const char*>(strtab_data);
-  strtab_size_ = strtab_shdr->sh_size;
+  strtab_ = static_cast<const char*>(strtab_fragment_.data());
+  strtab_size_ = strtab_fragment_.size();
   return true;
 }
 
@@ -783,8 +756,7 @@
     // note_fragment is scoped to within the loop so that there is
     // at most 1 PT_NOTE mapped at anytime during this search.
     MappedFileFragment note_fragment;
-    void* note_data = MapData(&note_fragment, phdr->p_offset, phdr->p_memsz);
-    if (note_data == nullptr) {
+    if (!note_fragment.Map(fd_, file_offset_, phdr->p_offset, phdr->p_memsz)) {
       DL_ERR("\"%s\": PT_NOTE mmap(nullptr, %p, PROT_READ, MAP_PRIVATE, %d, %p) failed: %m",
              name_.c_str(), reinterpret_cast<void*>(phdr->p_memsz), fd_,
              reinterpret_cast<void*>(page_start(file_offset_ + phdr->p_offset)));
@@ -794,7 +766,7 @@
     const ElfW(Nhdr)* note_hdr = nullptr;
     const char* note_desc = nullptr;
     if (!__get_elf_note(NT_ANDROID_TYPE_PAD_SEGMENT, "Android",
-                        reinterpret_cast<ElfW(Addr)>(note_data),
+                        reinterpret_cast<ElfW(Addr)>(note_fragment.data()),
                         phdr, &note_hdr, &note_desc)) {
       continue;
     }
diff --git a/linker/linker_phdr.h b/linker/linker_phdr.h
index e7aae6e..aab9018 100644
--- a/linker/linker_phdr.h
+++ b/linker/linker_phdr.h
@@ -73,7 +73,6 @@
   [[nodiscard]] bool FindGnuPropertySection();
   [[nodiscard]] bool CheckPhdr(ElfW(Addr));
   [[nodiscard]] bool CheckFileRange(ElfW(Addr) offset, size_t size, size_t alignment);
-  [[nodiscard]] void* MapData(MappedFileFragment* fragment, off64_t offset, off64_t size);
 
   bool did_read_;
   bool did_load_;
@@ -82,8 +81,6 @@
   off64_t file_offset_;
   off64_t file_size_;
 
-  MappedFileFragment file_fragment_;
-
   ElfW(Ehdr) header_;
   size_t phdr_num_;