diff --git a/include/argparse.hpp b/include/argparse.hpp
index b5ef1ed..32ab73a 100644
--- a/include/argparse.hpp
+++ b/include/argparse.hpp
@@ -30,6 +30,7 @@ SOFTWARE.
 #pragma once
 #include <algorithm>
 #include <any>
+#include <cerrno>
 #include <charconv>
 #include <cstdlib>
 #include <functional>
@@ -190,6 +191,76 @@ template <class T> struct parse_number<T> {
   }
 };
 
+template <class T> constexpr auto generic_strtod = nullptr;
+template <> constexpr auto generic_strtod<float> = strtof;
+template <> constexpr auto generic_strtod<double> = strtod;
+template <> constexpr auto generic_strtod<long double> = strtold;
+
+template <class T> inline auto do_strtod(std::string const &s) -> T {
+  if (isspace(static_cast<unsigned char>(s[0])) || s[0] == '+')
+    throw std::invalid_argument{"pattern not found"};
+
+  auto [first, last] = pointer_range(s);
+  char *ptr;
+
+  errno = 0;
+  if (auto x = generic_strtod<T>(first, &ptr); errno == 0) {
+    if (ptr == last)
+      return x;
+    else
+      throw std::invalid_argument{"pattern does not match to the end"};
+  } else if (errno == ERANGE) {
+    throw std::range_error{"not representable"};
+  } else {
+    return x; // unreachable
+  }
+}
+
+template <class T> struct parse_number<T, chars_format::general> {
+  auto operator()(std::string const &s) -> T {
+    if (auto r = consume_hex_prefix(s); r.is_hexadecimal)
+      throw std::invalid_argument{
+          "chars_format::general does not parse hexfloat"};
+
+    return do_strtod<T>(s);
+  }
+};
+
+template <class T> struct parse_number<T, chars_format::hex> {
+  auto operator()(std::string const &s) -> T {
+    if (auto r = consume_hex_prefix(s); !r.is_hexadecimal)
+      throw std::invalid_argument{"chars_format::hex parses hexfloat"};
+
+    return do_strtod<T>(s);
+  }
+};
+
+template <class T> struct parse_number<T, chars_format::scientific> {
+  auto operator()(std::string const &s) -> T {
+    if (auto r = consume_hex_prefix(s); r.is_hexadecimal)
+      throw std::invalid_argument{
+          "chars_format::scientific does not parse hexfloat"};
+    if (s.find_first_of("eE") == s.npos)
+      throw std::invalid_argument{
+          "chars_format::scientific requires exponent part"};
+
+    return do_strtod<T>(s);
+  }
+};
+
+template <class T> struct parse_number<T, chars_format::fixed> {
+  auto operator()(std::string const &s) -> T {
+    if (auto r = consume_hex_prefix(s); r.is_hexadecimal)
+      throw std::invalid_argument{
+          "chars_format::fixed does not parse hexfloat"};
+    if (s.find_first_of("eE") != s.npos)
+      throw std::invalid_argument{
+          "chars_format::fixed does not parse exponent part"};
+
+    return do_strtod<T>(s);
+  }
+};
+
 } // namespace details
 
 class ArgumentParser;
diff --git a/test/test_scan.cpp b/test/test_scan.cpp
index c55e5a8..64b6f58 100644
--- a/test/test_scan.cpp
+++ b/test/test_scan.cpp
@@ -171,3 +171,178 @@ TEST_CASE_TEMPLATE("Parse integer argument of any format" * test_suite("scan"),
                       std::invalid_argument);
   }
 }
+
+#define FLOAT_G(t, literal)                                                    \
+  ([] {                                                                        \
+    if constexpr (std::is_same_v<t, float>)                                    \
+      return literal##f;                                                       \
+    else if constexpr (std::is_same_v<t, double>)                              \
+      return literal;                                                          \
+    else if constexpr (std::is_same_v<t, long double>)                         \
+      return literal##l;                                                       \
+  }())
+
+TEST_CASE_TEMPLATE("Parse floating-point argument of general format" *
+                       test_suite("scan"),
+                   T, float, double, long double) {
+  argparse::ArgumentParser program("test");
+  program.add_argument("-n").scan<'g', T>();
+
+  SUBCASE("zero") {
+    program.parse_args({"test", "-n", "0"});
+    REQUIRE(program.get<T>("-n") == 0.);
+  }
+
+  SUBCASE("non-negative") {
+    program.parse_args({"test", "-n", "3.14"});
+    REQUIRE(program.get<T>("-n") == FLOAT_G(T, 3.14));
+  }
+
+  SUBCASE("negative") {
+    program.parse_args({"test", "-n", "-0.12"});
+    REQUIRE(program.get<T>("-n") == FLOAT_G(T, -0.12));
+  }
+
+  SUBCASE("left-padding is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "\t.32"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("right-padding is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", ".32\n"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("plus sign is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "+.12"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("plus sign after padding is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "   +.12"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("hexfloat is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "0x1a.3p+1"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("does not fit") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "1.3e+5000"}),
+                      std::range_error);
+  }
+}
+
+TEST_CASE_TEMPLATE("Parse hexadecimal floating-point argument" *
+                       test_suite("scan"),
+                   T, float, double, long double) {
+  argparse::ArgumentParser program("test");
+  program.add_argument("-n").scan<'a', T>();
+
+  SUBCASE("zero") {
+    // binary-exponent-part is not optional in C++ grammar
+    program.parse_args({"test", "-n", "0x0"});
+    REQUIRE(program.get<T>("-n") == 0x0.p0);
+  }
+
+  SUBCASE("non-negative") {
+    program.parse_args({"test", "-n", "0x1a.3p+1"});
+    REQUIRE(program.get<T>("-n") == 0x1a.3p+1);
+  }
+
+  SUBCASE("minus sign produces an optional argument") {
+    // XXX may worth a fix
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "-0x0.12p1"}),
+                      std::runtime_error);
+  }
+
+  SUBCASE("plus sign is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "+0x1p0"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("general format is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "3.14"}),
+                      std::invalid_argument);
+  }
+}
+
+TEST_CASE_TEMPLATE("Parse floating-point argument of scientific format" *
+                       test_suite("scan"),
+                   T, float, double, long double) {
+  argparse::ArgumentParser program("test");
+  program.add_argument("-n").scan<'e', T>();
+
+  SUBCASE("zero") {
+    program.parse_args({"test", "-n", "0e0"});
+    REQUIRE(program.get<T>("-n") == 0e0);
+  }
+
+  SUBCASE("non-negative") {
+    program.parse_args({"test", "-n", "3.14e-1"});
+    REQUIRE(program.get<T>("-n") == FLOAT_G(T, 3.14e-1));
+  }
+
+  SUBCASE("negative") {
+    program.parse_args({"test", "-n", "-0.12e+1"});
+    REQUIRE(program.get<T>("-n") == FLOAT_G(T, -0.12e+1));
+  }
+
+  SUBCASE("plus sign is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "+.12e+1"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("fixed format is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "3.14"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("hexfloat is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "0x1.33p+0"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("does not fit") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "1.3e+5000"}),
+                      std::range_error);
+  }
+}
+
+TEST_CASE_TEMPLATE("Parse floating-point argument of fixed format" *
+                       test_suite("scan"),
+                   T, float, double, long double) {
+  argparse::ArgumentParser program("test");
+  program.add_argument("-n").scan<'f', T>();
+
+  SUBCASE("zero") {
+    program.parse_args({"test", "-n", ".0"});
+    REQUIRE(program.get<T>("-n") == .0);
+  }
+
+  SUBCASE("non-negative") {
+    program.parse_args({"test", "-n", "3.14"});
+    REQUIRE(program.get<T>("-n") == FLOAT_G(T, 3.14));
+  }
+
+  SUBCASE("negative") {
+    program.parse_args({"test", "-n", "-0.12"});
+    REQUIRE(program.get<T>("-n") == FLOAT_G(T, -0.12));
+  }
+
+  SUBCASE("plus sign is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "+.12"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("scientific format is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "3.14e+0"}),
+                      std::invalid_argument);
+  }
+
+  SUBCASE("hexfloat is not allowed") {
+    REQUIRE_THROWS_AS(program.parse_args({"test", "-n", "0x1.33p+0"}),
+                      std::invalid_argument);
+  }
+}