[libc][math][c23] Update newhdrgen for new _Float16 math functions (#113005)

Author: overmighty

libc/newhdrgen/yaml/math.yaml

@@ -206,6 +206,13 @@ functions:
     return_type: float
     arguments:
       - type: float
+  - name: coshf16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: ddivl
     standards:
       - stdc
@@ -266,6 +273,13 @@ functions:
     return_type: float
     arguments:
       - type: float
+  - name: exp10m1f16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: exp2
     standards:
       - stdc
@@ -1557,6 +1571,13 @@ functions:
     return_type: float
     arguments:
       - type: float
+  - name: log10f16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: log1p
     standards:
       - stdc
@@ -1581,6 +1602,13 @@ functions:
     return_type: float
     arguments:
       - type: float
+  - name: log2f16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: logb
     standards:
       - stdc
@@ -1619,6 +1647,13 @@ functions:
     return_type: float
     arguments:
       - type: float
+  - name: logf16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: lrint
     standards:
       - stdc
@@ -2297,6 +2332,13 @@ functions:
     return_type: float
     arguments:
       - type: float
+  - name: sinhf16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: sinpif16
     standards:
       - stdc
@@ -2323,6 +2365,13 @@ functions:
     arguments:
       - type: float128
     guard: LIBC_TYPES_HAS_FLOAT128
+  - name: sqrtf16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: sqrtl
     standards:
       - stdc
@@ -2347,6 +2396,13 @@ functions:
     return_type: float
     arguments:
       - type: float
+  - name: tanhf16
+    standards:
+      - stdc
+    return_type: _Float16
+    arguments:
+      - type: _Float16
+    guard: LIBC_TYPES_HAS_FLOAT16
   - name: totalorder
     standards:
       - stdc