results. This corresponds to the -ffast-math op�on of clang. • Write @simd in front of for loops to promise that the itera�ons are independent and may be reordered. Note that in many cases, Julia can automa�cally JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a func�on-like annota�on. Any value passed to this annota�on will be considered rooted happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } Completeness of analysis The analyzer only looks at local informa�on. In par�cular

results. This corresponds to the -ffast-math op�on of clang. • Write @simd in front of for loops to promise that the itera�ons are independent and may be reordered. Note that in many cases, Julia can automa�cally JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a func�on-like annota�on. Any value passed to this annota�on will be considered rooted happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } Completeness of analysis The analyzer only looks at local informa�on. In par�cular

results. This corresponds to the -ffast-math op�on of clang. • Write @simd in front of for loops to promise that the itera�ons are independent and may be reordered. Note that in many cases, Julia can automa�cally JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a func�on-like annota�on. Any value passed to this annota�on will be considered rooted happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } Completeness of analysis The analyzer only looks at local informa�on. In par�cular

results. This corresponds to the -ffast-math op�on of clang. • Write @simd in front of for loops to promise that the itera�ons are independent and may be reordered. Note that in many cases, Julia can automa�cally JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a func�on-like annota�on. Any value passed to this annota�on will be considered rooted happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } Completeness of analysis The analyzer only looks at local informa�on. In par�cular

results. This corresponds to the -ffast-math option of clang. • Write @simd in front of for loops to promise that the iterations are independent and may be reordered. Note that in many cases, Julia can automatically JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a function-like annotation. Any value passed to this annotation will be considered happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } Completeness of analysis The analyzer only looks at local information. In particular

results. This corresponds to the -ffast-math op�on of clang. • Write @simd in front of for loops to promise that the itera�ons are independent and may be reordered. Note that in many cases, Julia can automa�cally JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a func�on-like annota�on. Any value passed to this annota�on will be considered rooted happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } Completeness of analysis The analyzer only looks at local informa�on. In par�cular

results. This corresponds to the -ffast-math option of clang. • Write @simd in front of for loops to promise that the iterations are independent and may be reordered. Note that in many cases, Julia can automatically JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a function-like annotation. Any value passed to this annotation will be considered happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } Completeness of analysis The analyzer only looks at local information. In particular

results. This corresponds to the -ffast-math option of clang. • Write @simd in front of for loops to promise that the iterations are independent and may be reordered. Note that in many cases, Julia can automatically JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a function-like annotation. Any value passed to this annotation will be considered happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } CHAPTER 98. DOCUMENTATION OF JULIA’S INTERNALS 1284 Completeness of analysis

results. This corresponds to the -ffast-math option of clang. • Write @simd in front of for loops to promise that the iterations are independent and may be reordered. Note that in many cases, Julia can automatically JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a function-like annotation. Any value passed to this annotation will be considered happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } CHAPTER 98. DOCUMENTATION OF JULIA’S INTERNALS 1285 Completeness of analysis

results. This corresponds to the -ffast-math option of clang. • Write @simd in front of for loops to promise that the iterations are independent and may be reordered. Note that in many cases, Julia can automatically JL_DLLEXPORT jl_value_t *jl_apply_array_type(jl_value_t *type, size_t dim) JL_ALWAYS_LEAFTYPE; JL_GC_PROMISE_ROOTED This is a function-like annotation. Any value passed to this annotation will be considered happen to know for complicated external reasons // that val is rooted under these conditions JL_GC_PROMISE_ROOTED(val); } } CHAPTER 97. DOCUMENTATION OF JULIA’S INTERNALS 1284 Completeness of analysis