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Merge branch 'bugfix/rom_libgcc_functions' into 'master'

Browse source 
Fix linking of libgcc math functions to ROM

See merge request idf/esp-idf!2640
This commit is contained in:
Ivan Grokhotkov 2018-07-02 18:38:44 +08:00
parent 4f4182179f ae006fed83
commit 3238531c70
4 changed files with 279 additions and 91 deletions
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3
components/esp32/component.mk
View file

@ -13,6 +13,9 @@ endif
#specifies its own scripts.
LINKER_SCRIPTS += esp32.common.ld esp32.rom.ld esp32.peripherals.ld
#Force pure functions from libgcc.a to be linked from ROM
LINKER_SCRIPTS += esp32.rom.libgcc.ld
#SPI-RAM incompatible functions can be used in when the SPI RAM
#workaround is not enabled.
ifndef CONFIG_SPIRAM_CACHE_WORKAROUND

91
components/esp32/ld/esp32.rom.ld
View file

@ -4,32 +4,22 @@ Generated for ROM with MD5sum:
ab8282ae908fe9e7a63fb2a4ac2df013 ../../rom_image/prorom.elf
*/
PROVIDE ( abort = 0x4000bba4 );
PROVIDE ( __absvdi2 = 0x4006387c );
PROVIDE ( __absvsi2 = 0x40063868 );
PROVIDE ( Add2SelfBigHex256 = 0x40015b7c );
PROVIDE ( AddBigHex256 = 0x40015b28 );
PROVIDE ( AddBigHexModP256 = 0x40015c98 );
PROVIDE ( __adddf3 = 0x40002590 );
PROVIDE ( AddP256 = 0x40015c74 );
PROVIDE ( AddPdiv2_256 = 0x40015ce0 );
PROVIDE ( __addsf3 = 0x400020e8 );
PROVIDE ( __addvdi3 = 0x40002cbc );
PROVIDE ( __addvsi3 = 0x40002c98 );
PROVIDE ( aes_128_cbc_decrypt = 0x4005cc7c );
PROVIDE ( aes_128_cbc_encrypt = 0x4005cc18 );
PROVIDE ( aes_unwrap = 0x4005ccf0 );
PROVIDE ( app_gpio_arg = 0x3ffe003c );
PROVIDE ( app_gpio_handler = 0x3ffe0040 );
PROVIDE ( __ashldi3 = 0x4000c818 );
PROVIDE ( __ashrdi3 = 0x4000c830 );
PROVIDE ( base64_decode = 0x4005ced8 );
PROVIDE ( base64_encode = 0x4005cdbc );
PROVIDE ( BasePoint_x_256 = 0x3ff97488 );
PROVIDE ( BasePoint_y_256 = 0x3ff97468 );
PROVIDE ( bigHexInversion256 = 0x400168f0 );
PROVIDE ( bigHexP256 = 0x3ff973bc );
PROVIDE ( __bswapdi2 = 0x400649c4 );
PROVIDE ( __bswapsi2 = 0x4006499c );
PROVIDE ( btdm_r_ble_bt_handler_tab_p_get = 0x40019b0c );
PROVIDE ( btdm_r_btdm_option_data_p_get = 0x40010004 );
PROVIDE ( btdm_r_btdm_rom_version_get = 0x40010078 );
@ -52,11 +42,6 @@ PROVIDE ( calc_rtc_memory_crc = 0x40008170 );
PROVIDE ( calloc = 0x4000bee4 );
PROVIDE ( __clear_cache = 0x40063860 );
PROVIDE ( _close_r = 0x4000bd3c );
PROVIDE ( __clrsbdi2 = 0x40064a38 );
PROVIDE ( __clrsbsi2 = 0x40064a20 );
PROVIDE ( __clzdi2 = 0x4000ca50 );
PROVIDE ( __clzsi2 = 0x4000c7e8 );
PROVIDE ( __cmpdi2 = 0x40063820 );
PROVIDE ( co_default_bdaddr = 0x3ffae704 );
PROVIDE ( co_null_bdaddr = 0x3ffb80e0 );
PROVIDE ( co_sca2ppm = 0x3ff971e8 );
@ -68,8 +53,6 @@ PROVIDE ( crc8_be = 0x4005d114 );
PROVIDE ( crc8_le = 0x4005d0e0 );
PROVIDE ( _ctype_ = 0x3ff96354 );
PROVIDE ( __ctype_ptr__ = 0x3ff96350 );
PROVIDE ( __ctzdi2 = 0x4000ca64 );
PROVIDE ( __ctzsi2 = 0x4000c7f0 );
PROVIDE ( _data_end_rom = 0x4000d5c8 );
PROVIDE ( _data_end_btdm_rom = 0x4000d4f8 );
PROVIDE ( _data_start_rom = 0x4000d4f8 );
@ -102,49 +85,21 @@ PROVIDE ( dh_group2_generator = 0x3ff9ada2 );
PROVIDE ( dh_group2_prime = 0x3ff9ad22 );
PROVIDE ( dh_group5_generator = 0x3ff9ad21 );
PROVIDE ( dh_group5_prime = 0x3ff9ac61 );
PROVIDE ( __divdc3 = 0x40064460 );
PROVIDE ( __divdf3 = 0x40002954 );
PROVIDE ( __divdi3 = 0x4000ca84 );
PROVIDE ( __divsc3 = 0x40064200 );
PROVIDE ( __divsf3 = 0x4000234c );
PROVIDE ( __divsi3 = 0x4000c7b8 );
PROVIDE ( g_rom_spiflash_dummy_len_plus = 0x3ffae290 );
PROVIDE ( ecc_env = 0x3ffb8d60 );
PROVIDE ( ecc_Jacobian_InfinityPoint256 = 0x3ff972e8 );
PROVIDE ( em_buf_env = 0x3ffb8d74 );
PROVIDE ( environ = 0x3ffae0b4 );
PROVIDE ( __eqdf2 = 0x400636a8 );
PROVIDE ( __eqsf2 = 0x40063374 );
PROVIDE ( esp_crc8 = 0x4005d144 );
PROVIDE ( _etext = 0x4000d66c );
PROVIDE ( ets_readySet_ = 0x3ffe01f0 );
PROVIDE ( ets_startup_callback = 0x3ffe0404 );
PROVIDE ( exc_cause_table = 0x3ff991d0 );
PROVIDE ( _exit_r = 0x4000bd28 );
PROVIDE ( __extendsfdf2 = 0x40002c34 );
PROVIDE ( __ffsdi2 = 0x4000ca2c );
PROVIDE ( __ffssi2 = 0x4000c804 );
PROVIDE ( __fixdfdi = 0x40002ac4 );
PROVIDE ( __fixdfsi = 0x40002a78 );
PROVIDE ( __fixsfdi = 0x4000244c );
PROVIDE ( __fixsfsi = 0x4000240c );
PROVIDE ( __fixunsdfsi = 0x40002b30 );
PROVIDE ( __fixunssfdi = 0x40002504 );
PROVIDE ( __fixunssfsi = 0x400024ac );
PROVIDE ( __floatdidf = 0x4000c988 );
PROVIDE ( __floatdisf = 0x4000c8c0 );
PROVIDE ( __floatsidf = 0x4000c944 );
PROVIDE ( __floatsisf = 0x4000c870 );
PROVIDE ( __floatundidf = 0x4000c978 );
PROVIDE ( __floatundisf = 0x4000c8b0 );
PROVIDE ( __floatunsidf = 0x4000c938 );
PROVIDE ( __floatunsisf = 0x4000c864 );
PROVIDE ( free = 0x4000beb8 );
PROVIDE ( _free_r = 0x4000bbcc );
PROVIDE ( _fstat_r = 0x4000bccc );
PROVIDE ( __gcc_bcmp = 0x40064a70 );
PROVIDE ( __gedf2 = 0x40063768 );
PROVIDE ( __gesf2 = 0x4006340c );
PROVIDE ( _getpid_r = 0x4000bcfc );
PROVIDE ( __getreent = 0x4000be8c );
PROVIDE ( _gettimeofday_r = 0x4000bc58 );
@ -154,8 +109,6 @@ PROVIDE ( GF_Point_Jacobian_To_Affine256 = 0x40016b0c );
PROVIDE ( _global_impure_ptr = 0x3ffae0b0 );
PROVIDE ( g_phyFuns_instance = 0x3ffae0c4 );
PROVIDE ( g_rom_flashchip = 0x3ffae270 );
PROVIDE ( __gtdf2 = 0x400636dc );
PROVIDE ( __gtsf2 = 0x400633a0 );
PROVIDE ( gTxMsg = 0x3ffe0050 );
PROVIDE ( hci_cmd_desc_root_tab = 0x3ff976d4 );
PROVIDE ( hci_cmd_desc_tab_ctrl_bb = 0x3ff97b70 );
@ -201,8 +154,6 @@ PROVIDE ( ld_env = 0x3ffb9510 );
PROVIDE ( ld_pcm_settings_dft = 0x3ff98a0c );
PROVIDE ( ld_sched_params = 0x3ffb96c0 );
PROVIDE ( ld_sync_train_channels = 0x3ff98a3c );
PROVIDE ( __ledf2 = 0x40063704 );
PROVIDE ( __lesf2 = 0x400633c0 );
PROVIDE ( _link_r = 0x4000bc9c );
PROVIDE ( llc_default_handler = 0x3ff98b3c );
PROVIDE ( llc_default_state_tab_p_get = 0x40046058 );
@ -255,9 +206,6 @@ PROVIDE ( _lock_release_recursive = 0x4000be78 );
PROVIDE ( _lock_try_acquire = 0x4000be3c );
PROVIDE ( _lock_try_acquire_recursive = 0x4000be50 );
PROVIDE ( _lseek_r = 0x4000bd8c );
PROVIDE ( __lshrdi3 = 0x4000c84c );
PROVIDE ( __ltdf2 = 0x40063790 );
PROVIDE ( __ltsf2 = 0x4006342c );
PROVIDE ( malloc = 0x4000bea0 );
PROVIDE ( _malloc_r = 0x4000bbb4 );
PROVIDE ( maxSecretKey_256 = 0x3ff97448 );
@ -267,43 +215,19 @@ PROVIDE ( MD5Init = 0x4005da7c );
PROVIDE ( MD5Update = 0x4005da9c );
PROVIDE ( md5_vector = 0x4005db80 );
PROVIDE ( mmu_init = 0x400095a4 );
PROVIDE ( __moddi3 = 0x4000cd4c );
PROVIDE ( __modsi3 = 0x4000c7c0 );
PROVIDE ( __month_lengths = 0x3ff9609c );
PROVIDE ( __muldc3 = 0x40063bf4 );
PROVIDE ( __muldf3 = 0x4006358c );
PROVIDE ( __muldi3 = 0x4000c9fc );
PROVIDE ( __mulsc3 = 0x40063934 );
PROVIDE ( __mulsf3 = 0x400632c8 );
PROVIDE ( __mulsi3 = 0x4000c7b0 );
PROVIDE ( MultiplyBigHexByUint32_256 = 0x40016214 );
PROVIDE ( MultiplyBigHexModP256 = 0x400160b8 );
PROVIDE ( MultiplyByU32ModP256 = 0x40015fdc );
PROVIDE ( multofup = 0x4000ab8c );
PROVIDE ( __mulvdi3 = 0x40002d78 );
PROVIDE ( __mulvsi3 = 0x40002d60 );
PROVIDE ( mz_adler32 = 0x4005edbc );
PROVIDE ( mz_crc32 = 0x4005ee88 );
PROVIDE ( mz_free = 0x4005eed4 );
PROVIDE ( __nedf2 = 0x400636a8 );
PROVIDE ( __negdf2 = 0x400634a0 );
PROVIDE ( __negdi2 = 0x4000ca14 );
PROVIDE ( __negsf2 = 0x400020c0 );
PROVIDE ( __negvdi2 = 0x40002e98 );
PROVIDE ( __negvsi2 = 0x40002e78 );
PROVIDE ( __nesf2 = 0x40063374 );
PROVIDE ( notEqual256 = 0x40015b04 );
PROVIDE ( __nsau_data = 0x3ff96544 );
PROVIDE ( one_bits = 0x3ff971f8 );
PROVIDE ( _open_r = 0x4000bd54 );
PROVIDE ( __paritysi2 = 0x40002f3c );
PROVIDE ( pbkdf2_sha1 = 0x40060ba4 );
PROVIDE ( phy_get_romfuncs = 0x40004100 );
PROVIDE ( __popcountdi2 = 0x40002ef8 );
PROVIDE ( __popcountsi2 = 0x40002ed0 );
PROVIDE ( __popcount_tab = 0x3ff96544 );
PROVIDE ( __powidf2 = 0x400638d4 );
PROVIDE ( __powisf2 = 0x4006389c );
PROVIDE ( _Pri_4_HandlerAddress = 0x3ffe0648 );
PROVIDE ( _Pri_5_HandlerAddress = 0x3ffe064c );
PROVIDE ( r_btdm_option_data = 0x3ffae6e0 );
@ -1417,15 +1341,11 @@ PROVIDE ( _start = 0x40000704 );
PROVIDE ( start_tb_console = 0x4005a980 );
PROVIDE ( _stat_r = 0x4000bcb4 );
PROVIDE ( _stext = 0x40000560 );
PROVIDE ( __subdf3 = 0x400026e4 );
PROVIDE ( __subsf3 = 0x400021d0 );
PROVIDE ( SubtractBigHex256 = 0x40015bcc );
PROVIDE ( SubtractBigHexMod256 = 0x40015e8c );
PROVIDE ( SubtractBigHexUint32_256 = 0x40015f8c );
PROVIDE ( SubtractFromSelfBigHex256 = 0x40015c20 );
PROVIDE ( SubtractFromSelfBigHexSign256 = 0x40015dc8 );
PROVIDE ( __subvdi3 = 0x40002d20 );
PROVIDE ( __subvsi3 = 0x40002cf8 );
PROVIDE ( sw_to_hw = 0x3ffb8d40 );
PROVIDE ( syscall_table_ptr_app = 0x3ffae020 );
PROVIDE ( syscall_table_ptr_pro = 0x3ffae024 );
@ -1443,20 +1363,9 @@ PROVIDE ( _timezone = 0x3ffae0a0 );
PROVIDE ( tinfl_decompress = 0x4005ef30 );
PROVIDE ( tinfl_decompress_mem_to_callback = 0x40060090 );
PROVIDE ( tinfl_decompress_mem_to_mem = 0x40060050 );
PROVIDE ( __truncdfsf2 = 0x40002b90 );
PROVIDE ( _tzname = 0x3ffae030 );
PROVIDE ( UartDev = 0x3ffe019c );
PROVIDE ( __ucmpdi2 = 0x40063840 );
PROVIDE ( __udivdi3 = 0x4000cff8 );
PROVIDE ( __udivmoddi4 = 0x40064ab0 );
PROVIDE ( __udivsi3 = 0x4000c7c8 );
PROVIDE ( __udiv_w_sdiv = 0x40064aa8 );
PROVIDE ( __umoddi3 = 0x4000d280 );
PROVIDE ( __umodsi3 = 0x4000c7d0 );
PROVIDE ( __umulsidi3 = 0x4000c7d8 );
PROVIDE ( _unlink_r = 0x4000bc84 );
PROVIDE ( __unorddf2 = 0x400637f4 );
PROVIDE ( __unordsf2 = 0x40063478 );
PROVIDE ( user_code_start = 0x3ffe0400 );
PROVIDE ( veryBigHexP256 = 0x3ff9736c );
PROVIDE ( __wctomb = 0x3ff96540 );

91
components/esp32/ld/esp32.rom.libgcc.ld Normal file
View file

@ -0,0 +1,91 @@
__absvdi2 = 0x4006387c;
__absvsi2 = 0x40063868;
__adddf3 = 0x40002590;
__addsf3 = 0x400020e8;
__addvdi3 = 0x40002cbc;
__addvsi3 = 0x40002c98;
__ashldi3 = 0x4000c818;
__ashrdi3 = 0x4000c830;
__bswapdi2 = 0x40064b08;
__bswapsi2 = 0x40064ae0;
__clrsbdi2 = 0x40064b7c;
__clrsbsi2 = 0x40064b64;
__clzdi2 = 0x4000ca50;
__clzsi2 = 0x4000c7e8;
__cmpdi2 = 0x40063820;
__ctzdi2 = 0x4000ca64;
__ctzsi2 = 0x4000c7f0;
__divdc3 = 0x400645a4;
__divdf3 = 0x40002954;
__divdi3 = 0x4000ca84;
__divsc3 = 0x4006429c;
__divsf3 = 0x4000234c;
__divsi3 = 0x4000c7b8;
__eqdf2 = 0x400636a8;
__eqsf2 = 0x40063374;
__extendsfdf2 = 0x40002c34;
__ffsdi2 = 0x4000ca2c;
__ffssi2 = 0x4000c804;
__fixdfdi = 0x40002ac4;
__fixdfsi = 0x40002a78;
__fixsfdi = 0x4000244c;
__fixsfsi = 0x4000240c;
__fixunsdfsi = 0x40002b30;
__fixunssfdi = 0x40002504;
__fixunssfsi = 0x400024ac;
__floatdidf = 0x4000c988;
__floatdisf = 0x4000c8c0;
__floatsidf = 0x4000c944;
__floatsisf = 0x4000c870;
__floatundidf = 0x4000c978;
__floatundisf = 0x4000c8b0;
__floatunsidf = 0x4000c938;
__floatunsisf = 0x4000c864;
__gedf2 = 0x40063768;
__gesf2 = 0x4006340c;
__gtdf2 = 0x400636dc;
__gtsf2 = 0x400633a0;
__ledf2 = 0x40063704;
__lesf2 = 0x400633c0;
__lshrdi3 = 0x4000c84c;
__ltdf2 = 0x40063790;
__ltsf2 = 0x4006342c;
__moddi3 = 0x4000cd4c;
__modsi3 = 0x4000c7c0;
__muldc3 = 0x40063c90;
__muldf3 = 0x4006358c;
__muldi3 = 0x4000c9fc;
__mulsc3 = 0x40063944;
__mulsf3 = 0x400632c8;
__mulsi3 = 0x4000c7b0;
__mulvdi3 = 0x40002d78;
__mulvsi3 = 0x40002d60;
__nedf2 = 0x400636a8;
__negdf2 = 0x400634a0;
__negdi2 = 0x4000ca14;
__negsf2 = 0x400020c0;
__negvdi2 = 0x40002e98;
__negvsi2 = 0x40002e78;
__nesf2 = 0x40063374;
__nsau_data = 0x3ff96544;
__paritysi2 = 0x40002f3c;
__popcount_tab = 0x3ff96544;
__popcountdi2 = 0x40002ef8;
__popcountsi2 = 0x40002ed0;
__powidf2 = 0x400638e4;
__powisf2 = 0x4006389c;
__subdf3 = 0x400026e4;
__subsf3 = 0x400021d0;
__subvdi3 = 0x40002d20;
__subvsi3 = 0x40002cf8;
__truncdfsf2 = 0x40002b90;
__ucmpdi2 = 0x40063840;
__udiv_w_sdiv = 0x40064bec;
__udivdi3 = 0x4000cff8;
__udivmoddi4 = 0x40064bf4;
__udivsi3 = 0x4000c7c8;
__umoddi3 = 0x4000d280;
__umodsi3 = 0x4000c7d0;
__umulsidi3 = 0x4000c7d8;
__unorddf2 = 0x400637f4;
__unordsf2 = 0x40063478;

185
components/esp32/test/test_libgcc.c Normal file
View file

@ -0,0 +1,185 @@
#include <complex.h>
#include "unity.h"
TEST_CASE("libgcc math functions", "[rom]")
{
extern int64_t __absvdi2(int64_t x);
TEST_ASSERT(__absvdi2(-1L) == 1);
extern int __absvsi2(int x);
TEST_ASSERT(__absvsi2(-1) == 1);
extern double __adddf3(double x, double y);
TEST_ASSERT(__adddf3(1.0, 4.0) == 5.0);
extern float __addsf3(float x, float y);
TEST_ASSERT(__addsf3(1.0f, 4.0f) == 5.0f);
extern int64_t __addvdi3(int64_t x, int64_t y);
TEST_ASSERT(__addvdi3(1L, 4L) == 5L);
extern int __addvsi3(int x, int y);
TEST_ASSERT(__addvsi3(1, 4) == 5);
extern int64_t __ashldi3(int64_t x, int y);
TEST_ASSERT(__ashldi3(1, 4) == 16);
extern int64_t __ashrdi3(int64_t x, int y);
TEST_ASSERT(__ashrdi3(4, 1) == 2);
extern int64_t __bswapdi2(int64_t x);
TEST_ASSERT(__bswapdi2(0xaabbccddeeff0011ULL) == 0x1100ffeeddccbbaaULL);
extern int32_t __bswapsi2(int32_t x);
TEST_ASSERT(__bswapsi2(0xaabbccdd) == 0xddccbbaa);
extern int64_t __clrsbdi2(int64_t x);
TEST_ASSERT(__clrsbdi2(-1) == 63);
extern int __clrsbsi2(int x);
TEST_ASSERT(__clrsbsi2(-1) == 31);
extern int __clzdi2(int64_t x);
TEST_ASSERT(__clzdi2(1) == 63);
extern int __clzsi2(int x);
TEST_ASSERT(__clzsi2(1) == 31);
extern int __cmpdi2(int64_t x, int64_t y);
TEST_ASSERT(__cmpdi2(10, 10) == 1);
extern int __ctzdi2(uint64_t x);
TEST_ASSERT(__ctzdi2(0x8000000000000000ULL) == 63);
extern int __ctzsi2(unsigned x);
TEST_ASSERT(__ctzsi2(0x80000000U) == 31);
extern complex double __divdc3(double a, double b, double c, double d);
TEST_ASSERT(__divdc3(0, 1, 1, 0) == I);
extern double __divdf3(double x, double y);
TEST_ASSERT(__divdf3(16.0, 2.0) == 8.0);
extern int64_t __divdi3(int64_t x, int64_t y);
TEST_ASSERT(__divdi3(16, 2) == 8);
extern complex float __divsc3(float a, float b, float c, float d);
TEST_ASSERT(__divsc3(0, 1, 1, 0) == I);
extern float __divsf3(float x, float y);
TEST_ASSERT(__divsf3(16.0f, 2.0f) == 8.0f);
extern int __divsi3(int x, int y);
TEST_ASSERT(__divsi3(16, 2) == 8);
extern int __eqdf2(double x, double y);
TEST_ASSERT(__eqdf2(4.0, 4.0) == 0);
extern int __eqsf2(float x, float y);
TEST_ASSERT(__eqsf2(4.0f, 4.0f) == 0);
extern double __extendsfdf2(float x);
TEST_ASSERT(__extendsfdf2(4.0f) == 4.0);
extern int __ffsdi2(uint64_t x);
TEST_ASSERT(__ffsdi2(0x8000000000000000ULL) == 64);
extern int __ffssi2(unsigned x);
TEST_ASSERT(__ffssi2(0x80000000) == 32);
extern int64_t __fixdfdi(double x);
TEST_ASSERT(__fixdfdi(4.0) == 4LL);
extern int __fixdfsi(double x);
TEST_ASSERT(__fixdfsi(4.0) == 4);
extern int64_t __fixsfdi(float x);
TEST_ASSERT(__fixsfdi(4.0f) == 4LL);
extern int __fixsfsi(float x);
TEST_ASSERT(__fixsfsi(4.0f) == 4);
extern unsigned __fixunsdfsi(double x);
TEST_ASSERT(__fixunsdfsi(16.0) == 16);
extern uint64_t __fixunssfdi(float x);
TEST_ASSERT(__fixunssfdi(16.0f) == 16);
extern unsigned __fixunssfsi(float x);
TEST_ASSERT(__fixunssfsi(16.0f) == 16);
extern double __floatdidf(int64_t);
TEST_ASSERT(__floatdidf(-1LL) == -1.0f);
extern float __floatdisf(int64_t);
TEST_ASSERT(__floatdisf(-1LL) == -1.0f);
extern double __floatsidf(int x);
TEST_ASSERT(__floatsidf(-1) == -1.0);
extern float __floatsisf(int x);
TEST_ASSERT(__floatsisf(-1) == -1.0f);
extern double __floatundidf(uint64_t x);
TEST_ASSERT(__floatundidf(16) == 16.0);
extern float __floatundisf(uint64_t x);
TEST_ASSERT(__floatundisf(16) == 16.0f);
extern double __floatunsidf(unsigned x);
TEST_ASSERT(__floatunsidf(16) == 16.0);
extern float __floatunsisf(unsigned x);
TEST_ASSERT(__floatunsisf(16) == 16.0f);
extern int __gedf2(double x, double y);
TEST_ASSERT(__gedf2(2.0, 0.0) >= 0);
extern int __gesf2(float x, float y);
TEST_ASSERT(__gesf2(2.0f, 0.0f) >= 0);
extern int __gtdf2(double x, double y);
TEST_ASSERT(__gtdf2(2.0, 0.0) >= 0);
extern int __gtsf2(float x, float y);
TEST_ASSERT(__gtsf2(2.0f, 0.0f) >= 0);
extern int __ledf2(double x, double y);
TEST_ASSERT(__ledf2(0.0, 2.0) <= 0);
extern int __lesf2(float x, float y);
TEST_ASSERT(__lesf2(0.0f, 2.0f) <= 0);
extern int64_t __lshrdi3(int64_t x, int y);
TEST_ASSERT(__lshrdi3(0x8000000000000000LL, 1) == 0x4000000000000000LL);
extern int __ltdf2(double x, double y);
TEST_ASSERT(__ltdf2(0.0, 2.0) < 0);
extern int __ltsf2(float x, float y);
TEST_ASSERT(__ltsf2(0.0f, 2.0f) < 0);
extern int64_t __moddi3(int64_t x, int64_t y);
TEST_ASSERT(__moddi3(15, 2) == 1);
extern int __modsi3(int x, int y);
TEST_ASSERT(__modsi3(15, 2) == 1);
extern complex double __muldc3(double a, double b, double c, double d);
TEST_ASSERT(__muldc3(1.0, 0.0, 0.0, 1.0) == I);
extern double __muldf3(double x, double y);
TEST_ASSERT(__muldf3(2.0, 8.0) == 16.0);
extern int64_t __muldi3(int64_t x, int64_t y);
TEST_ASSERT(__muldi3(2, 8) == 16);
extern complex float __mulsc3 (float a, float b, float c, float d);
TEST_ASSERT(__mulsc3(1.0f, 0.0f, 0.0f, -1.0f) == -I);
extern float __mulsf3 (float a, float b);
TEST_ASSERT(__mulsf3(2.0f, 8.0f) == 16.0f);
extern int __mulsi3(int x, int y);
TEST_ASSERT(__mulsi3(2, 8) == 16);
extern int __mulvdi3(int64_t x, int64_t y);
TEST_ASSERT(__mulvdi3(2, 8) == 16);
extern int __mulvsi3(int x, int y);
TEST_ASSERT(__mulvsi3(2, 8) == 16);
extern int __nedf2(double x, double y);
TEST_ASSERT(__nedf2(2.0, 2.0) == 0);
extern double __negdf2(double x);
TEST_ASSERT(__negdf2(1.0) == -1.0);
extern int64_t __negdi2(int64_t x);
TEST_ASSERT(__negdi2(-1LL) == 1);
extern float __negsf2(float x);
TEST_ASSERT(__negsf2(-1.0f) == 1.0f);
extern int64_t __negvdi2(int64_t x);
TEST_ASSERT(__negvdi2(-1LL) == 1);
extern int __negvsi2(int x);
TEST_ASSERT(__negvsi2(-1) == 1);
extern int __nesf2(float x, float y);
TEST_ASSERT(__nesf2(2.0, 0.0) != 0);
extern int __paritysi2(unsigned x);
TEST_ASSERT(__paritysi2(0x10101010) == 0);
extern int __popcountdi2(uint64_t);
TEST_ASSERT(__popcountdi2(0xaaaaaaaa11111111ULL) == 24);
extern int __popcountsi2(unsigned x);
TEST_ASSERT(__popcountsi2(0x11111111) == 8);
extern double __powidf2(double x, int y);
TEST_ASSERT(__powidf2(2.0, -1) == 0.5);
extern float __powisf2(float x, int y);
TEST_ASSERT(__powisf2(2.0f, 2) == 4.0f);
extern double __subdf3(double x, double y);
TEST_ASSERT(__subdf3(2.0, 1.0) == 1.0);
extern float __subsf3(float x, float y);
TEST_ASSERT(__subsf3(5.0f, 4.0f) == 1.0f);
extern int64_t __subvdi3(int64_t x, int64_t y);
TEST_ASSERT(__subvdi3(-1LL, -1LL) == 0);
extern int __subvsi3(int x, int y);
TEST_ASSERT(__subvsi3(-1, -1) == 0);
extern float __truncdfsf2(double x);
TEST_ASSERT(__truncdfsf2(4.0) == 4.0f);
extern int __ucmpdi2(uint64_t x, uint64_t y);
TEST_ASSERT(__ucmpdi2(0x100000000ULL, 0x100000000ULL) == 1);
extern uint64_t __udivdi3(uint64_t x, uint64_t y);
TEST_ASSERT(__udivdi3(15, 2) == 7);
extern uint64_t __udivmoddi4(uint64_t x, uint64_t y, uint64_t* z);
uint64_t z;
TEST_ASSERT(__udivmoddi4(15, 2, &z) == 7);
TEST_ASSERT(z == 1);
extern unsigned __udivsi3(unsigned x, unsigned y);
TEST_ASSERT(__udivsi3(15, 2) == 7);
extern uint64_t __umoddi3(uint64_t x, uint64_t y);
TEST_ASSERT(__umoddi3(15, 2) == 1);
extern unsigned __umodsi3(unsigned x, unsigned y);
TEST_ASSERT(__umodsi3(15, 2) == 1);
extern uint64_t __umulsidi3(unsigned x, unsigned y);
TEST_ASSERT(__umulsidi3(0x10000000, 0x10000000) == 0x100000000000000ULL);
extern int __unorddf2(double x, double y);
TEST_ASSERT(__unorddf2(1.0, 2.0) == 0);
extern int __unordsf2(float x, float y);
TEST_ASSERT(__unordsf2(2.0f, 1.0f) == 0);
}